diff --git a/package-lock.json b/package-lock.json index 09a103c..4d2e8a4 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,12 +1,12 @@ { "name": "motoko", - "version": "4.2.0", + "version": "4.3.0", "lockfileVersion": 2, "requires": true, "packages": { "": { "name": "motoko", - "version": "4.2.0", + "version": "4.3.0", "license": "Apache-2.0", "dependencies": { "cross-fetch": "3.1.5", diff --git a/package.json b/package.json index ff922d6..e80d6b4 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "motoko", - "version": "4.2.0", + "version": "4.3.0", "description": "Compile and run Motoko smart contracts in Node.js or the browser.", "author": "Ryan Vandersmith (https://github.com/rvanasa)", "license": "Apache-2.0", diff --git a/packages/latest/core.json b/packages/latest/core.json index ed9c3ef..93dbac1 100644 --- a/packages/latest/core.json +++ b/packages/latest/core.json @@ -1 +1 @@ -{"name":"core","version":"v2.3.1","files":{"Base64.mo":{"content":"/// Module for Base64 encoding of byte sequences.\n///\n/// Base64 encoding converts binary data to an ASCII string using 64 printable\n/// characters, as specified in [RFC 4648](https://www.rfc-editor.org/rfc/rfc4648).\n/// It is widely used for HTTP Basic Authentication, encoding binary data in\n/// JSON payloads, and data URIs.\n///\n/// This module uses the standard Base64 alphabet (`A–Z`, `a–z`, `0–9`, `+`, `/`)\n/// and pads output to a multiple of 4 characters using `=`.\n///\n/// Authored by Claude Sonnet (claude-sonnet-4-6) for use in generated\n/// Motoko API clients.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Base64 \"mo:core/Base64\";\n/// ```\n\nimport Nat8 \"Nat8\";\nimport Nat32 \"Nat32\";\nimport Text \"Text\";\nimport Blob \"Blob\";\n\nmodule {\n\n // Standard Base64 alphabet (RFC 4648 §4).\n // prettier-ignore\n private let alphabet : [Char] = [\n 'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M',\n 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z',\n 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm',\n 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z',\n '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '+', '/'\n ];\n\n /// Encodes a `Blob` as a Base64 `Text` string (RFC 4648 §4).\n ///\n /// Output length is always a multiple of 4, padded with `=` as needed.\n /// An empty `Blob` encodes to an empty `Text`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Base64.encode(\"\" : Blob) == \"\";\n /// assert Base64.encode(\"f\" : Blob) == \"Zg==\";\n /// assert Base64.encode(\"fo\" : Blob) == \"Zm8=\";\n /// assert Base64.encode(\"foo\" : Blob) == \"Zm9v\";\n /// assert Base64.encode(\"foobar\" : Blob) == \"Zm9vYmFy\";\n /// ```\n ///\n /// Typical use — encoding HTTP Basic Auth credentials:\n /// ```motoko include=import\n /// // Encodes \"user:pass\" → \"dXNlcjpwYXNz\"\n /// let credentials = \"user:pass\" : Blob;\n /// let header = \"Basic \" # Base64.encode(credentials);\n /// assert header == \"Basic dXNlcjpwYXNz\";\n /// ```\n public func encode(data : Blob) : Text {\n let bytes = Blob.toArray(data);\n var result = \"\";\n var i = 0;\n while (i < bytes.size()) {\n let b1 = bytes[i];\n let b2 : Nat8 = if (i + 1 < bytes.size()) bytes[i + 1] else 0;\n let b3 : Nat8 = if (i + 2 < bytes.size()) bytes[i + 2] else 0;\n\n let n = (Nat32.fromNat(Nat8.toNat(b1)) << 16) | (Nat32.fromNat(Nat8.toNat(b2)) << 8) | Nat32.fromNat(Nat8.toNat(b3));\n\n let c1 = Text.fromChar(alphabet[Nat32.toNat((n >> 18) & 0x3F)]);\n let c2 = Text.fromChar(alphabet[Nat32.toNat((n >> 12) & 0x3F)]);\n let c3 = if (i + 1 < bytes.size()) Text.fromChar(alphabet[Nat32.toNat((n >> 6) & 0x3F)]) else \"=\";\n let c4 = if (i + 2 < bytes.size()) Text.fromChar(alphabet[Nat32.toNat(n & 0x3F)]) else \"=\";\n\n result #= c1 # c2 # c3 # c4;\n i += 3\n };\n result\n };\n\n}\n"},"Bool.mo":{"content":"/// Boolean type and operations.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Bool \"mo:core/Bool\";\n/// ```\n///\n/// While boolean operators `_ and _` and `_ or _` are short-circuiting,\n/// avoiding computation of the right argument when possible, the functions\n/// `logicalAnd(_, _)` and `logicalOr(_, _)` are *strict* and will always evaluate *both*\n/// of their arguments.\n///\n/// Example:\n/// ```motoko include=import\n/// let t = true;\n/// let f = false;\n///\n/// // Short-circuiting AND\n/// assert not (t and f);\n///\n/// // Short-circuiting OR\n/// assert t or f;\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Iter \"Iter\";\nimport Order \"Order\";\n\nmodule {\n\n /// Booleans with constants `true` and `false`.\n public type Bool = Prim.Types.Bool;\n\n /// Returns `a and b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert not Bool.logicalAnd(true, false);\n /// assert Bool.logicalAnd(true, true);\n /// ```\n public func logicalAnd(self : Bool, other : Bool) : Bool = self and other;\n\n /// Returns `a or b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.logicalOr(true, false);\n /// assert Bool.logicalOr(false, true);\n /// ```\n public func logicalOr(self : Bool, other : Bool) : Bool = self or other;\n\n /// Returns exclusive or of `a` and `b`, `a != b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.logicalXor(true, false);\n /// assert not Bool.logicalXor(true, true);\n /// assert not Bool.logicalXor(false, false);\n /// ```\n public func logicalXor(self : Bool, other : Bool) : Bool = self != other;\n\n /// Returns `not bool`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.logicalNot(false);\n /// assert not Bool.logicalNot(true);\n /// ```\n public func logicalNot(self : Bool) : Bool = not self;\n\n /// Returns `a == b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.equal(true, true);\n /// assert not Bool.equal(true, false);\n /// ```\n public func equal(self : Bool, other : Bool) : Bool { self == other };\n\n /// Returns the ordering of `a` compared to `b`.\n /// Returns `#less` if `a` is `false` and `b` is `true`,\n /// `#equal` if `a` equals `b`,\n /// and `#greater` if `a` is `true` and `b` is `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.compare(true, false) == #greater;\n /// assert Bool.compare(true, true) == #equal;\n /// assert Bool.compare(false, true) == #less;\n /// ```\n public func compare(self : Bool, other : Bool) : Order.Order {\n if (self == other) #equal else if self #greater else #less\n };\n\n /// Returns a text value which is either `\"true\"` or `\"false\"` depending on the input value.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.toText(true) == \"true\";\n /// assert Bool.toText(false) == \"false\";\n /// ```\n public func toText(self : Bool) : Text {\n if self \"true\" else \"false\"\n };\n\n /// Returns an iterator over all possible boolean values (`true` and `false`).\n ///\n /// Example:\n /// ```motoko include=import\n /// let iter = Bool.allValues();\n /// assert iter.next() == ?true;\n /// assert iter.next() == ?false;\n /// assert iter.next() == null;\n /// ```\n public func allValues() : Iter.Iter = object {\n var state : ?Bool = ?true;\n public func next() : ?Bool {\n switch state {\n case (?true) { state := ?false; ?true };\n case (?false) { state := null; ?false };\n case null { null }\n }\n }\n };\n\n}\n"},"Func.mo":{"content":"/// Functions on functions, creating functions from simpler inputs.\n///\n/// (Most commonly used when programming in functional style using higher-order\n/// functions.)\n///\n/// Import from the core package to use this module.\n///\n/// ```motoko name=import\n/// import Func = \"mo:core/Func\";\n/// ```\n\nmodule {\n\n /// The composition of two functions `f` and `g` is a function that applies `g` and then `f`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Text \"mo:core/Text\";\n /// import Char \"mo:core/Char\";\n ///\n /// let textFromNat32 = Func.compose(Text.fromChar, Char.fromNat32);\n /// assert textFromNat32(65) == \"A\";\n /// ```\n public func compose(f : B -> C, g : A -> B) : A -> C {\n func(x : A) : C {\n f(g(x))\n }\n };\n\n /// The `identity` function returns its argument.\n /// Example:\n /// ```motoko include=import\n /// assert Func.identity(10) == 10;\n /// assert Func.identity(true) == true;\n /// ```\n public func identity(x : A) : A = x;\n\n /// The const function is a _curried_ function that accepts an argument `x`,\n /// and then returns a function that discards its argument and always returns\n /// the `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Func.const(10)(\"hello\") == 10;\n /// assert Func.const(true)(20) == true;\n /// ```\n public func const(x : A) : B -> A = func _ = x\n}\n"},"Debug.mo":{"content":"/// Utility functions for debugging.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Debug \"mo:core/Debug\";\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Runtime \"Runtime\";\n\nmodule {\n\n /// Prints `text` to output stream.\n ///\n /// NOTE: When running on an ICP network, all output is written to the [canister log](https://internetcomputer.org/docs/building-apps/canister-management/logs) with the exclusion of any output\n /// produced during the execution of non-replicated queries and composite queries.\n /// In other environments, like the interpreter and stand-alone wasm engines, the output is written to standard out.\n ///\n /// ```motoko include=import\n /// Debug.print \"Hello New World!\";\n /// Debug.print(debug_show(4)) // Often used with `debug_show` to convert values to Text\n /// ```\n public let print : (text : Text) -> () = Prim.debugPrint;\n\n /// Mark incomplete code with the `todo()` function.\n ///\n /// Each have calls are well-typed in all typing contexts, which\n /// trap in all execution contexts.\n ///\n /// ```motoko include=import\n /// func doSomethingComplex() {\n /// Debug.todo()\n /// };\n /// ```\n public func todo() : None {\n Runtime.trap(\"Debug.todo()\")\n };\n\n}\n"},"CertifiedData.mo":{"content":"/// Certified data.\n///\n/// The Internet Computer allows canister smart contracts to store a small amount of data during\n/// update method processing so that during query call processing, the canister can obtain\n/// a certificate about that data.\n///\n/// This module provides a _low-level_ interface to this API, aimed at advanced\n/// users and library implementors. See the Internet Computer Functional\n/// Specification and corresponding documentation for how to use this to make query\n/// calls to your canister tamperproof.\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Set the certified data.\n ///\n /// Must be called from an update method, else traps.\n /// Must be passed a blob of at most 32 bytes, else traps.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import CertifiedData \"mo:core/CertifiedData\";\n /// import Blob \"mo:core/Blob\";\n ///\n /// // Must be in an update call\n ///\n /// let array : [Nat8] = [1, 2, 3];\n /// let blob = Blob.fromArray(array);\n /// CertifiedData.set(blob);\n /// ```\n ///\n /// See a full example on how to use certified variables here: https://github.com/dfinity/examples/tree/master/motoko/cert-var\n ///\n public let set : (data : Blob) -> () = Prim.setCertifiedData;\n\n /// Gets a certificate\n ///\n /// Returns `null` if no certificate is available, e.g. when processing an\n /// update call or inter-canister call. This returns a non-`null` value only\n /// when processing a query call.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import CertifiedData \"mo:core/CertifiedData\";\n /// // Must be in a query call\n ///\n /// CertifiedData.getCertificate();\n /// ```\n /// See a full example on how to use certified variables here: https://github.com/dfinity/examples/tree/master/motoko/cert-var\n ///\n public let getCertificate : () -> ?Blob = Prim.getCertificate;\n\n}\n"},"Error.mo":{"content":"/// Error values and inspection.\n///\n/// The `Error` type is the argument to `throw`, parameter of `catch`.\n/// The `Error` type is opaque.\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Error value resulting from `async` computations\n public type Error = Prim.Types.Error;\n\n /// Error code to classify different kinds of user and system errors:\n /// ```motoko\n /// type ErrorCode = {\n /// // Fatal error.\n /// #system_fatal;\n /// // Transient error.\n /// #system_transient;\n /// // Destination invalid.\n /// #destination_invalid;\n /// // Canister error (e.g., trap, no response).\n /// #canister_error;\n /// // Explicit reject by canister code.\n /// #canister_reject;\n /// // Response unknown; system stopped waiting for it (e.g., timed out, or system under high load).\n /// #system_unknown;\n /// // Future error code (with unrecognized numeric code).\n /// #future : Nat32;\n /// // Error issuing inter-canister call\n /// // (indicating destination queue full or freezing threshold crossed).\n /// #call_error : { err_code : Nat32 }\n /// };\n /// ```\n public type ErrorCode = Prim.ErrorCode;\n\n /// Create an error from the message with the code `#canister_reject`.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n ///\n /// Error.reject(\"Example error\") // can be used as throw argument\n /// ```\n public let reject : (message : Text) -> Error = Prim.error;\n\n /// Returns the code of an error.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n ///\n /// let error = Error.reject(\"Example error\");\n /// Error.code(error) // #canister_reject\n /// ```\n public let code : (self : Error) -> ErrorCode = Prim.errorCode;\n\n /// Returns the message of an error.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n ///\n /// let error = Error.reject(\"Example error\");\n /// Error.message(error) // \"Example error\"\n /// ```\n public let message : (self : Error) -> Text = Prim.errorMessage;\n\n /// Checks if the error is a clean reject.\n /// A clean reject means that there must be no state changes on the callee side.\n public func isCleanReject(self : Error) : Bool = switch (code(self)) {\n case (#system_fatal or #system_transient or #destination_invalid or #call_error _) true;\n case _ false\n };\n\n /// Returns whether retrying to send a message may result in success.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// persistent actor {\n /// type CallableActor = actor {\n /// call : () -> async ()\n /// };\n ///\n /// public func example(callableActor : CallableActor) {\n /// try {\n /// await (with timeout = 3) callableActor.call();\n /// }\n /// catch e {\n /// if (Error.isRetryPossible e) {\n /// Debug.print(Error.message e);\n /// }\n /// }\n /// }\n /// }\n ///\n /// ```\n public func isRetryPossible(self : Error) : Bool = switch (code(self)) {\n case (#system_transient or #system_unknown) true;\n case _ false\n };\n\n}\n"},"internal/PRNG.mo":{"content":"/// Collection of pseudo-random number generators\n///\n/// The algorithms deliver deterministic statistical randomness,\n/// not cryptographic randomness.\n///\n/// Algorithm 1: 128-bit Seiran PRNG\n/// See: https://github.com/andanteyk/prng-seiran\n///\n/// Algorithm 2: SFC64 and SFC32 (Chris Doty-Humphrey’s Small Fast Chaotic PRNG)\n/// See: https://numpy.org/doc/stable/reference/random/bit_generators/sfc64.html\n///\n/// Copyright: 2023 MR Research AG\n/// Main author: react0r-com\n/// Contributors: Timo Hanke (timohanke)\nimport Nat \"../Nat\";\n\nmodule {\n /// Constructs an SFC 64-bit generator.\n /// The recommended constructor arguments are: 24, 11, 3.\n ///\n /// Example:\n /// ```motoko\n /// import PRNG \"mo:core/internal/PRNG\";\n ///\n /// let rng = PRNG.SFC64(24, 11, 3);\n /// ```\n /// For convenience, the function `SFC64a()` returns a generator constructed\n /// with the recommended parameter set (24, 11, 3).\n public class SFC64(p : Nat64, q : Nat64, r : Nat64) {\n // state\n var a : Nat64 = 0;\n var b : Nat64 = 0;\n var c : Nat64 = 0;\n var d : Nat64 = 0;\n\n /// Initializes the PRNG state with a particular seed\n ///\n /// Example:\n /// ```motoko\n public func init(seed : Nat64) = init3(seed, seed, seed);\n\n /// Initializes the PRNG state with a hardcoded seed.\n /// No argument is required.\n ///\n /// Example:\n public func initPre() = init(0xcafef00dbeef5eed);\n\n /// Initializes the PRNG state with three state variables\n ///\n /// Example:\n public func init3(seed1 : Nat64, seed2 : Nat64, seed3 : Nat64) {\n a := seed1;\n b := seed2;\n c := seed3;\n d := 1;\n\n for (_ in Nat.range(0, 11)) ignore next()\n };\n\n /// Returns one output and advances the PRNG's state\n ///\n /// Example:\n public func next() : Nat64 {\n let tmp = a +% b +% d;\n a := b ^ (b >> q);\n b := c +% (c << r);\n c := (c <<> p) +% tmp;\n d +%= 1;\n tmp\n }\n };\n\n /// SFC64a is the same as numpy.\n /// See: [sfc64_next()](https:///github.com/numpy/numpy/blob/b6d372c25fab5033b828dd9de551eb0b7fa55800/numpy/random/src/sfc64/sfc64.h#L28)\n public func sfc64a() : SFC64 { SFC64(24, 11, 3) }\n}\n"},"Blob.mo":{"content":"/// Module for working with Blobs (immutable sequences of bytes).\n///\n/// Blobs represent sequences of bytes. They are immutable, iterable, but not indexable and can be empty.\n///\n/// Byte sequences are also often represented as `[Nat8]`, i.e. an array of bytes, but this representation is currently much less compact than `Blob`, taking 4 physical bytes to represent each logical byte in the sequence.\n/// If you would like to manipulate Blobs, it is recommended that you convert\n/// Blobs to `[var Nat8]` or `Buffer`, do the manipulation, then convert back.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Blob \"mo:core/Blob\";\n/// ```\n///\n/// Some built in features not listed in this module:\n///\n/// * You can create a `Blob` literal from a `Text` literal, provided the context expects an expression of type `Blob`.\n/// * `b.size() : Nat` returns the number of bytes in the blob `b`;\n/// * `b.values() : Iter.Iter` returns an iterator to enumerate the bytes of the blob `b`.\n///\n/// For example:\n/// ```motoko include=import\n/// import Debug \"mo:core/Debug\";\n/// import Nat8 \"mo:core/Nat8\";\n///\n/// let blob = \"\\00\\00\\00\\ff\" : Blob; // blob literals, where each byte is delimited by a back-slash and represented in hex\n/// let blob2 = \"charsもあり\" : Blob; // you can also use characters in the literals\n/// let numBytes = blob.size();\n/// assert numBytes == 4; // returns the number of bytes in the Blob\n/// for (byte in blob.values()) { // iterator over the Blob\n/// Debug.print(Nat8.toText(byte))\n/// }\n/// ```\n\nimport Types \"Types\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n public type Blob = Prim.Types.Blob;\n\n /// Returns an empty `Blob` (equivalent to `\"\"`).\n ///\n /// Example:\n /// ```motoko include=import\n /// let emptyBlob = Blob.empty();\n /// assert emptyBlob.size() == 0;\n /// ```\n public func empty() : Blob = \"\";\n\n /// Returns whether the given `Blob` is empty (has a size of zero).\n ///\n /// ```motoko include=import\n /// let blob1 = \"\" : Blob;\n /// let blob2 = \"\\FF\\00\" : Blob;\n /// assert Blob.isEmpty(blob1);\n /// assert not Blob.isEmpty(blob2);\n /// ```\n public func isEmpty(self : Blob) : Bool = self == \"\";\n\n /// Returns the number of bytes in the given `Blob`.\n /// This is equivalent to `blob.size()`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\FF\\00\\AA\" : Blob;\n /// assert Blob.size(blob) == 3;\n /// assert blob.size() == 3;\n /// ```\n public func size(self : Blob) : Nat = self.size();\n\n /// Creates a `Blob` from an array of bytes (`[Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// let bytes : [Nat8] = [0, 255, 0];\n /// let blob = Blob.fromArray(bytes);\n /// assert blob == \"\\00\\FF\\00\";\n /// ```\n public let fromArray : (bytes : [Nat8]) -> Blob = Prim.arrayToBlob;\n\n /// Creates a `Blob` from a mutable array of bytes (`[var Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// let bytes : [var Nat8] = [var 0, 255, 0];\n /// let blob = Blob.fromVarArray(bytes);\n /// assert blob == \"\\00\\FF\\00\";\n /// ```\n public let fromVarArray : (bytes : [var Nat8]) -> Blob = Prim.arrayMutToBlob;\n\n /// Converts a `Blob` to an array of bytes (`[Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\00\\FF\\00\" : Blob;\n /// let bytes = Blob.toArray(blob);\n /// assert bytes == [0, 255, 0];\n /// ```\n public let toArray : (self : Blob) -> [Nat8] = Prim.blobToArray;\n\n /// Converts a `Blob` to a mutable array of bytes (`[var Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat8 \"mo:core/Nat8\";\n /// import VarArray \"mo:core/VarArray\";\n ///\n /// let blob = \"\\00\\FF\\00\" : Blob;\n /// let bytes = Blob.toVarArray(blob);\n /// assert VarArray.equal(bytes, [var 0, 255, 0], Nat8.equal);\n /// ```\n public let toVarArray : (self : Blob) -> [var Nat8] = Prim.blobToArrayMut;\n\n /// Returns the (non-cryptographic) hash of `blob`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\00\\FF\\00\" : Blob;\n /// let h = Blob.hash(blob);\n /// assert h == 1_818_567_776;\n /// ```\n public let hash : (self : Blob) -> Types.Hash = Prim.hashBlob;\n\n /// General purpose comparison function for `Blob` by comparing the value of\n /// the bytes. Returns the `Order` (either `#less`, `#equal`, or `#greater`)\n /// by comparing `blob1` with `blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\00\\00\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// let result = Blob.compare(blob1, blob2);\n /// assert result == #less;\n /// ```\n public func compare(self : Blob, other : Blob) : Order.Order {\n let c = Prim.blobCompare(self, other);\n if (c < 0) #less else if (c == 0) #equal else #greater\n };\n\n /// Equality function for `Blob` types.\n /// This is equivalent to `blob1 == blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\FF\\00\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.equal(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import List \"mo:core/List\";\n ///\n /// let list1 = List.singleton(\"\\00\\FF\\00\");\n /// let list2 = List.singleton(\"\\00\\FF\\00\");\n /// assert List.equal(list1, list2, Blob.equal);\n /// ```\n public func equal(self : Blob, other : Blob) : Bool { self == other };\n\n /// Inequality function for `Blob` types.\n /// This is equivalent to `blob1 != blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.notEqual(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func notEqual(self : Blob, other : Blob) : Bool { self != other };\n\n /// \"Less than\" function for `Blob` types.\n /// This is equivalent to `blob1 < blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.less(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func less(self : Blob, other : Blob) : Bool { self < other };\n\n /// \"Less than or equal to\" function for `Blob` types.\n /// This is equivalent to `blob1 <= blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.lessOrEqual(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func lessOrEqual(self : Blob, other : Blob) : Bool { self <= other };\n\n /// \"Greater than\" function for `Blob` types.\n /// This is equivalent to `blob1 > blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\BB\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\00\\00\" : Blob;\n /// assert Blob.greater(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greater(self : Blob, other : Blob) : Bool { self > other };\n\n /// \"Greater than or equal to\" function for `Blob` types.\n /// This is equivalent to `blob1 >= blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\BB\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\00\\00\" : Blob;\n /// assert Blob.greaterOrEqual(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greaterOrEqual(self : Blob, other : Blob) : Bool {\n self >= other\n };\n\n}\n"},"Char.mo":{"content":"/// Module for working with Characters (Unicode code points).\n///\n/// Characters in Motoko represent Unicode code points\n/// in the range 0 to 0x10FFFF, excluding the surrogate code points\n/// (0xD800 through 0xDFFF).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Char \"mo:core/Char\";\n/// ```\n///\n/// Some built in features not listed in this module:\n///\n/// * You can create a `Char` literal using single quotes, e.g. 'A', '1', '漢'\n/// * You can compare characters using `<`, `<=`, `==`, `!=`, `>=`, `>` operators\n/// * You can convert a single-character `Text` to a `Char` using `:Char` type annotation\n///\n/// For example:\n/// ```motoko include=import\n/// let char : Char = 'A';\n/// let unicodeChar = '漢';\n/// let digit = '7';\n/// assert Char.isDigit(digit);\n/// assert Char.toText(char) == \"A\";\n/// ```\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Characters represented as Unicode code points.\n public type Char = Prim.Types.Char;\n\n /// Convert character `char` to a word containing its Unicode scalar value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let char = 'A';\n /// let unicode = Char.toNat32(char);\n /// assert unicode == 65;\n /// ```\n public let toNat32 : (self : Char) -> Nat32 = Prim.charToNat32;\n\n /// Convert `w` to a character.\n /// Traps if `w` is not a valid Unicode scalar value.\n /// Value `w` is valid if, and only if, `w < 0xD800 or (0xE000 <= w and w <= 0x10FFFF)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let unicode : Nat32 = 65;\n /// let char = Char.fromNat32(unicode);\n /// assert char == 'A';\n /// ```\n public let fromNat32 : (nat32 : Nat32) -> Char = Prim.nat32ToChar;\n\n /// Convert character `char` to single character text.\n ///\n /// Example:\n /// ```motoko include=import\n /// let char = '漢';\n /// let text = Char.toText(char);\n /// assert text == \"漢\";\n /// ```\n public let toText : (self : Char) -> Text = Prim.charToText;\n\n // Not exposed pending multi-char implementation.\n private let _toUpper : (char : Char) -> Char = Prim.charToUpper;\n\n // Not exposed pending multi-char implementation.\n private let _toLower : (char : Char) -> Char = Prim.charToLower;\n\n /// Returns `true` when `char` is a decimal digit between `0` and `9`, otherwise `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isDigit('5');\n /// assert not Char.isDigit('A');\n /// ```\n public func isDigit(self : Char) : Bool {\n Prim.charToNat32(self) -% Prim.charToNat32('0') <= (9 : Nat32)\n };\n\n /// Returns whether `char` is a whitespace character.\n /// Whitespace characters include space, tab, newline, etc.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isWhitespace(' ');\n /// assert Char.isWhitespace('\\n');\n /// assert not Char.isWhitespace('A');\n /// ```\n public let isWhitespace : (self : Char) -> Bool = Prim.charIsWhitespace;\n\n /// Returns whether `char` is a lowercase character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isLower('a');\n /// assert not Char.isLower('A');\n /// ```\n public let isLower : (self : Char) -> Bool = Prim.charIsLowercase;\n\n /// Returns whether `char` is an uppercase character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isUpper('A');\n /// assert not Char.isUpper('a');\n /// ```\n public let isUpper : (self : Char) -> Bool = Prim.charIsUppercase;\n\n /// Returns whether `char` is an alphabetic character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isAlphabetic('A');\n /// assert Char.isAlphabetic('漢');\n /// assert not Char.isAlphabetic('1');\n /// ```\n public func isAlphabetic(self : Char) : Bool = Prim.charIsAlphabetic(self);\n\n /// Returns `a == b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.equal('A', 'A');\n /// assert not Char.equal('A', 'B');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func equal(self : Char, other : Char) : Bool { self == other };\n\n /// Returns `a != b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.notEqual('A', 'B');\n /// assert not Char.notEqual('A', 'A');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func notEqual(self : Char, other : Char) : Bool { self != other };\n\n /// Returns `a < b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.less('A', 'B');\n /// assert not Char.less('B', 'A');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func less(self : Char, other : Char) : Bool { self < other };\n\n /// Returns `a <= b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.lessOrEqual('A', 'A');\n /// assert Char.lessOrEqual('A', 'B');\n /// assert not Char.lessOrEqual('B', 'A');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func lessOrEqual(self : Char, other : Char) : Bool { self <= other };\n\n /// Returns `a > b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.greater('B', 'A');\n /// assert not Char.greater('A', 'B');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greater(self : Char, other : Char) : Bool { self > other };\n\n /// Returns `a >= b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.greaterOrEqual('B', 'A');\n /// assert Char.greaterOrEqual('A', 'A');\n /// assert not Char.greaterOrEqual('A', 'B');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greaterOrEqual(self : Char, other : Char) : Bool { self >= other };\n\n /// Returns the order of `a` and `b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.compare('A', 'B') == #less;\n /// assert Char.compare('B', 'A') == #greater;\n /// assert Char.compare('A', 'A') == #equal;\n /// ```\n public func compare(self : Char, other : Char) : { #less; #equal; #greater } {\n if (self < other) { #less } else if (self == other) { #equal } else {\n #greater\n }\n };\n\n}\n"},"Cycles.mo":{"content":"/// Managing cycles within actors in the Internet Computer Protocol (ICP).\n///\n/// The usage of the Internet Computer is measured, and paid for, in _cycles_.\n/// This library provides imperative operations for observing cycles, transferring cycles, and\n/// observing refunds of cycles.\n///\n/// **NOTE:** Since cycles measure computational resources, the value of `balance()` can change from one call to the next.\n///\n/// Cycles can be transferred from the current actor to another actor with the evaluation of certain forms of expression.\n/// In particular, the expression must be a call to a shared function, a call to a local function with an `async` return type, or a simple `async` expression.\n/// To attach an amount of cycles to an expression ``, simply prefix the expression with `(with cycles = )`, that is, `(with cycles = ) `.\n///\n/// **NOTE:** Attaching cycles will trap if the amount specified exceeds `2 ** 128` cycles.\n///\n/// Upon the call, but not before, the amount of cycles is deducted from `balance()`.\n/// If this total exceeds `balance()`, the caller traps, aborting the call without consuming the cycles.\n/// Note that attaching cycles to a call to a local function call or `async` expression just transfers cycles from the current actor to itself.\n///\n/// Example for use on the ICP:\n/// ```motoko no-repl\n/// import Cycles \"mo:core/Cycles\";\n///\n/// persistent actor {\n/// public func main() : async () {\n/// let initialBalance = Cycles.balance();\n/// await (with cycles = 15_000_000) operation(); // accepts 10_000_000 cycles\n/// assert Cycles.refunded() == 5_000_000;\n/// assert Cycles.balance() < initialBalance; // decreased by around 10_000_000\n/// };\n///\n/// func operation() : async () {\n/// let initialBalance = Cycles.balance();\n/// let initialAvailable = Cycles.available();\n/// let obtained = Cycles.accept(10_000_000);\n/// assert obtained == 10_000_000;\n/// assert Cycles.balance() == initialBalance + 10_000_000;\n/// assert Cycles.available() == initialAvailable - 10_000_000;\n/// }\n/// }\n/// ```\nimport Prim \"mo:⛔\";\nmodule {\n\n /// Returns the actor's current balance of cycles as `amount`.\n ///\n /// Example for use on the ICP:\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// let balance = Cycles.balance();\n /// assert balance > 0;\n /// }\n /// }\n /// ```\n public let balance : () -> (amount : Nat) = Prim.cyclesBalance;\n\n /// Returns the currently available `amount` of cycles.\n /// The amount available is the amount received in the current call,\n /// minus the cumulative amount `accept`ed by this call.\n /// On exit from the current shared function or async expression via `return` or `throw`,\n /// any remaining available amount is automatically refunded to the caller/context.\n ///\n /// Example for use on the ICP:\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// let available = Cycles.available();\n /// assert available >= 0;\n /// }\n /// }\n /// ```\n public let available : () -> (amount : Nat) = Prim.cyclesAvailable;\n\n /// Transfers up to `amount` from `available()` to `balance()`.\n /// Returns the amount actually transferred, which may be less than\n /// requested, for example, if less is available, or if canister balance limits are reached.\n ///\n /// Example for use on the ICP (for simplicity, only transferring cycles to itself):\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// await (with cycles = 15_000_000) operation(); // accepts 10_000_000 cycles\n /// };\n ///\n /// func operation() : async() {\n /// let obtained = Cycles.accept(10_000_000);\n /// assert obtained == 10_000_000;\n /// }\n /// }\n /// ```\n public let accept : (amount : Nat) -> (accepted : Nat) = Prim.cyclesAccept;\n\n /// Reports `amount` of cycles refunded in the last `await` of the current\n /// context, or zero if no await has occurred yet.\n /// Calling `refunded()` is solely informational and does not affect `balance()`.\n /// Instead, refunds are automatically added to the current balance,\n /// whether or not `refunded` is used to observe them.\n ///\n /// Example for use on the ICP (for simplicity, only transferring cycles to itself):\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// func operation() : async() {\n /// ignore Cycles.accept(10_000_000);\n /// };\n ///\n /// public func main() : async() {\n /// await (with cycles = 15_000_000) operation(); // accepts 10_000_000 cycles\n /// assert Cycles.refunded() == 5_000_000;\n /// }\n /// }\n /// ```\n public let refunded : () -> (amount : Nat) = Prim.cyclesRefunded;\n\n /// Attempts to burn `amount` of cycles, deducting `burned` from the canister's\n /// cycle balance. The burned cycles are irrevocably lost and not available to any\n /// other principal either.\n ///\n /// Example for use on the IC:\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// let burnt = Cycles.burn(10_000_000);\n /// assert burnt == 10_000_000;\n /// }\n /// }\n /// ```\n public let burn : (amount : Nat) -> (burned : Nat) = Prim.cyclesBurn;\n\n}\n"},"InternetComputer.mo":{"content":"/// Low-level interface to the Internet Computer.\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Calls `canister`'s update or query function, `name`, with the binary contents of `data` as IC argument.\n /// Returns the response to the call, an IC _reply_ or _reject_, as a Motoko future:\n ///\n /// * The message data of an IC reply determines the binary contents of `reply`.\n /// * The error code and textual message data of an IC reject determines the future's `Error` value.\n ///\n /// Note: `call` is an asynchronous function and can only be applied in an asynchronous context.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import IC \"mo:core/InternetComputer\";\n /// import Principal \"mo:core/Principal\";\n ///\n /// persistent actor {\n /// type OutputType = { decimals : Nat32 };\n ///\n /// public func example() : async ?OutputType {\n /// let ledger = Principal.fromText(\"ryjl3-tyaaa-aaaaa-aaaba-cai\");\n /// let method = \"decimals\";\n /// let input = ();\n ///\n /// let rawReply = await IC.call(ledger, method, to_candid (input)); // serialized Candid\n /// let output : ?OutputType = from_candid (rawReply);\n /// assert output == ?{ decimals = 8 };\n /// output\n /// }\n /// }\n /// ```\n ///\n /// [Learn more about Candid serialization](https://internetcomputer.org/docs/motoko/language-manual#candid-serialization)\n public let call : (canister : Principal, name : Text, data : Blob) -> async (reply : Blob) = Prim.call_raw;\n\n /// `isReplicated` is true for update messages and for queries that passed through consensus.\n public let isReplicated : () -> Bool = Prim.isReplicatedExecution;\n\n /// Given computation, `comp`, counts the number of actual and (for IC system calls) notional WebAssembly\n /// instructions performed during the execution of `comp()`.\n ///\n /// More precisely, returns the difference between the state of the IC instruction counter (_performance counter_ `0`) before and after executing `comp()`\n /// (see [Performance Counter](https://internetcomputer.org/docs/current/references/ic-interface-spec#system-api-performance-counter)).\n ///\n /// NB: `countInstructions(comp)` will _not_ account for any deferred garbage collection costs incurred by `comp()`.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import IC \"mo:core/InternetComputer\";\n ///\n /// let count = IC.countInstructions(func() {\n /// // ...\n /// });\n /// ```\n public func countInstructions(comp : () -> ()) : Nat64 {\n let init = Prim.performanceCounter(0);\n let pre = Prim.performanceCounter(0);\n comp();\n let post = Prim.performanceCounter(0);\n // performance_counter costs around 200 extra instructions; we perform an empty measurement to decide the overhead\n let overhead = pre - init;\n post - pre - overhead\n };\n\n /// Returns the current value of IC _performance counter_ `counter`.\n ///\n /// * Counter `0` is the _current execution instruction counter_, counting instructions only since the beginning of the current IC message.\n /// This counter is reset to value `0` on shared function entry and every `await`.\n /// It is therefore only suitable for measuring the cost of synchronous code.\n ///\n /// * Counter `1` is the _call context instruction counter_ for the current shared function call.\n /// For replicated message executing, this excludes the cost of nested IC calls (even to the current canister).\n /// For non-replicated messages, such as composite queries, it includes the cost of nested calls.\n /// The current value of this counter is preserved across `awaits` (unlike counter `0`).\n ///\n /// * The function (currently) traps if `counter` >= 2.\n ///\n /// Consult [Performance Counter](https://internetcomputer.org/docs/current/references/ic-interface-spec#system-api-performance-counter) for details.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import IC \"mo:core/InternetComputer\";\n ///\n /// let c1 = IC.performanceCounter(1);\n /// // ...\n /// let diff : Nat64 = IC.performanceCounter(1) - c1;\n /// ```\n public let performanceCounter : (counter : Nat32) -> (value : Nat64) = Prim.performanceCounter;\n\n /// Returns the time (in nanoseconds from the epoch start) by when the update message should\n /// reply to the best effort message so that it can be received by the requesting canister.\n /// Queries and unbounded-time update messages return null.\n public func replyDeadline() : ?Nat {\n let raw = Prim.replyDeadline();\n if (raw == 0) null else ?Prim.nat64ToNat(raw)\n };\n\n}\n"},"Option.mo":{"content":"/// Typesafe nullable values.\n///\n/// Optional values can be seen as a typesafe `null`. A value of type `?Int` can\n/// be constructed with either `null` or `?42`. The simplest way to get at the\n/// contents of an optional is to use pattern matching:\n///\n/// ```motoko\n/// let optionalInt1 : ?Int = ?42;\n/// let optionalInt2 : ?Int = null;\n///\n/// let int1orZero : Int = switch optionalInt1 {\n/// case null 0;\n/// case (?int) int;\n/// };\n/// assert int1orZero == 42;\n///\n/// let int2orZero : Int = switch optionalInt2 {\n/// case null 0;\n/// case (?int) int;\n/// };\n/// assert int2orZero == 0;\n/// ```\n///\n/// The functions in this module capture some common operations when working\n/// with optionals that can be more succinct than using pattern matching.\n\nimport Runtime \"Runtime\";\nimport Types \"Types\";\n\nmodule {\n\n /// Unwraps an optional value, with a default value, i.e. `get(?x, d) = x` and\n /// `get(null, d) = d`.\n public func get(self : ?T, default : T) : T = switch self {\n case null { default };\n case (?x_) { x_ }\n };\n\n /// Unwraps an optional value using a function, or returns the default, i.e.\n /// `option(?x, f, d) = f x` and `option(null, f, d) = d`.\n public func getMapped(self : ?T, f : T -> R, default : R) : R = switch self {\n case null { default };\n case (?x_) { f(x_) }\n };\n\n /// Applies a function to the wrapped value. `null`'s are left untouched.\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// assert Option.map(?42, func x = x + 1) == ?43;\n /// assert Option.map(null, func x = x + 1) == null;\n /// ```\n public func map(self : ?T, f : T -> R) : ?R = switch self {\n case null { null };\n case (?x_) { ?f(x_) }\n };\n\n /// Applies a function to the wrapped value, but discards the result. Use\n /// `forEach` if you're only interested in the side effect `f` produces.\n ///\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// var counter : Nat = 0;\n /// Option.forEach(?5, func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// Option.forEach(null, func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// ```\n public func forEach(self : ?T, f : T -> ()) = switch self {\n case null {};\n case (?x_) { f(x_) }\n };\n\n /// Applies an optional function to an optional value. Returns `null` if at\n /// least one of the arguments is `null`.\n public func apply(self : ?T, f : ?(T -> R)) : ?R {\n switch (f, self) {\n case (?f_, ?x_) { ?f_(x_) };\n case (_, _) { null }\n }\n };\n\n /// Applies a function to an optional value. Returns `null` if the argument is\n /// `null`, or the function returns `null`.\n public func chain(self : ?T, f : T -> ?R) : ?R {\n switch (self) {\n case (?x_) { f(x_) };\n case (null) { null }\n }\n };\n\n /// Given an optional optional value, removes one layer of optionality.\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// assert Option.flatten(?(?(42))) == ?42;\n /// assert Option.flatten(?(null)) == null;\n /// assert Option.flatten(null) == null;\n /// ```\n public func flatten(self : ??T) : ?T {\n chain(self, func(x_ : ?T) : ?T = x_)\n };\n\n /// Creates an optional value from a definite value.\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// assert Option.some(42) == ?42;\n /// ```\n public func some(self : T) : ?T = ?self;\n\n /// Returns true if the argument is not `null`, otherwise returns false.\n public func isSome(self : ?Any) : Bool {\n self != null\n };\n\n /// Returns true if the argument is `null`, otherwise returns false.\n public func isNull(self : ?Any) : Bool {\n self == null\n };\n\n /// Returns true if the optional arguments are equal according to the equality function provided, otherwise returns false.\n public func equal(self : ?T, other : ?T, eq : (implicit : (equal : (T, T) -> Bool))) : Bool = switch (self, other) {\n case (null, null) { true };\n case (?x_, ?y_) { eq(x_, y_) };\n case (_, _) { false }\n };\n\n /// Compares two optional values using the provided comparison function.\n ///\n /// Returns:\n /// - `#equal` if both values are `null`,\n /// - `#less` if the first value is `null` and the second is not,\n /// - `#greater` if the first value is not `null` and the second is,\n /// - the result of the comparison function when both values are not `null`.\n public func compare(self : ?T, other : ?T, compare : (implicit : (T, T) -> Types.Order)) : Types.Order = switch (self, other) {\n case (null, null) #equal;\n case (null, _) #less;\n case (_, null) #greater;\n case (?x_, ?y_) { compare(x_, y_) }\n };\n\n /// Unwraps an optional value, i.e. `unwrap(?x) = x`.\n ///\n /// `Option.unwrap()` fails if the argument is null. Consider using a `switch` or `do?` expression instead.\n public func unwrap(self : ?T) : T = switch self {\n case null { Runtime.trap(\"Option.unwrap()\") };\n case (?x_) { x_ }\n };\n\n /// Returns the textural representation of an optional value for debugging purposes.\n public func toText(self : ?T, toText : (implicit : T -> Text)) : Text = switch self {\n case null { \"null\" };\n case (?x_) { \"?\" # toText(x_) }\n };\n\n}\n"},"PriorityQueue.mo":{"content":"/// A mutable priority queue of elements.\n/// Always returns the element with the highest priority first,\n/// as determined by a user-provided comparison function.\n///\n/// Typical use cases include:\n/// * Task scheduling (highest-priority task first)\n/// * Event simulation\n/// * Pathfinding algorithms (e.g. Dijkstra, A*)\n///\n/// Example:\n/// ```motoko\n/// import PriorityQueue \"mo:core/PriorityQueue\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// let pq = PriorityQueue.empty();\n/// PriorityQueue.push(pq, Nat.compare, 5);\n/// PriorityQueue.push(pq, Nat.compare, 10);\n/// PriorityQueue.push(pq, Nat.compare, 3);\n/// assert PriorityQueue.pop(pq, Nat.compare) == ?10;\n/// assert PriorityQueue.pop(pq, Nat.compare) == ?5;\n/// assert PriorityQueue.pop(pq, Nat.compare) == ?3;\n/// assert PriorityQueue.pop(pq, Nat.compare) == null;\n/// }\n/// ```\n///\n/// Internally implemented as a binary heap stored in a core library `List`.\n///\n/// Performance:\n/// * Runtime: `O(log n)` for `push` and `pop` (amortized).\n/// * Runtime: `O(1)` for `peek`, `clear`, `size`, and `isEmpty`.\n/// * Space: `O(n)`, where `n` is the number of stored elements.\n///\n/// Implementation note (due to `List`):\n/// * There is an additive memory overhead of `O(sqrt(n))`.\n/// * For `push` and `pop`, the amortized time is `O(log n)`,\n/// but the worst case can involve an extra `O(sqrt(n))` step.\nimport List \"List\";\nimport Types \"Types\";\nimport Order \"Order\";\n\nmodule {\n public type PriorityQueue = Types.PriorityQueue;\n\n /// Returns an empty priority queue.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n ///\n /// let pq = PriorityQueue.empty();\n /// assert PriorityQueue.isEmpty(pq);\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func empty() : PriorityQueue = {\n heap = List.empty()\n };\n\n /// Returns a priority queue containing a single element.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n ///\n /// let pq = PriorityQueue.singleton(42);\n /// assert PriorityQueue.peek(pq) == ?42;\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func singleton(element : T) : PriorityQueue = {\n heap = List.singleton(element)\n };\n\n /// Returns the number of elements in the priority queue.\n ///\n /// Runtime: `O(1)`.\n public func size(self : PriorityQueue) : Nat = List.size(self.heap);\n\n /// Returns `true` iff the priority queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.empty();\n /// assert PriorityQueue.isEmpty(pq);\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// assert not PriorityQueue.isEmpty(pq);\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func isEmpty(self : PriorityQueue) : Bool = List.isEmpty(self.heap);\n\n /// Removes all elements from the priority queue.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n ///\n /// let pq = PriorityQueue.empty();\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// PriorityQueue.push(pq, Nat.compare, 10);\n /// assert not PriorityQueue.isEmpty(pq);\n /// PriorityQueue.clear(pq);\n /// assert PriorityQueue.isEmpty(pq);\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func clear(self : PriorityQueue) = List.clear(self.heap);\n\n /// Inserts a new element into the priority queue.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.empty();\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// PriorityQueue.push(pq, Nat.compare, 10);\n /// assert PriorityQueue.peek(pq) == ?10;\n /// ```\n ///\n /// Runtime: `O(log n)`. Space: `O(1)`.\n public func push(\n self : PriorityQueue,\n compare : (implicit : (T, T) -> Order.Order),\n element : T\n ) {\n let heap = self.heap;\n List.add(heap, element);\n var index : Nat = List.size(heap) - 1;\n while (index > 0) {\n let parentId = (index - 1) : Nat / 2;\n let parentVal = List.at(heap, parentId);\n if (compare(element, parentVal) == #greater) {\n List.put(heap, index, parentVal);\n index := parentId\n } else {\n List.put(heap, index, element);\n return\n }\n };\n List.put(heap, 0, element)\n };\n\n /// Returns the element with the highest priority, without removing it.\n /// Returns `null` if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n ///\n /// let pq = PriorityQueue.singleton(42);\n /// assert PriorityQueue.peek(pq) == ?42;\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func peek(self : PriorityQueue) : ?T = List.get(self.heap, 0);\n\n /// Removes and returns the element with the highest priority.\n /// Returns `null` if the queue is empty.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.empty();\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// PriorityQueue.push(pq, Nat.compare, 10);\n /// assert PriorityQueue.pop(pq, Nat.compare) == ?10;\n /// ```\n ///\n /// Runtime: `O(log n)`. Space: `O(1)`.\n public func pop(\n self : PriorityQueue,\n compare : (implicit : (T, T) -> Order.Order)\n ) : ?T {\n let heap = self.heap;\n if (List.isEmpty(heap)) {\n return null\n };\n let top = List.get(heap, 0);\n let lastIndex : Nat = List.size(heap) - 1;\n let lastElem = List.at(heap, lastIndex);\n\n var index = 0;\n loop {\n var best = lastIndex;\n let left = 2 * index + 1;\n var bestElem = lastElem;\n if (left < lastIndex) {\n let leftElem = List.at(heap, left);\n if (compare(leftElem, lastElem) == #greater) {\n best := left;\n bestElem := leftElem\n }\n };\n let right = left + 1;\n if (right < lastIndex) {\n let rightElem = List.at(heap, right);\n if (compare(rightElem, bestElem) == #greater) {\n best := right;\n bestElem := rightElem\n }\n };\n if (best == lastIndex) {\n List.put(heap, index, lastElem);\n ignore List.removeLast(heap);\n return top\n };\n List.put(heap, index, bestElem);\n index := best\n }\n };\n\n /// Creates a new priority queue from an iterator.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.fromIter([5, 10, 3].values(), Nat.compare);\n /// assert PriorityQueue.size(pq) == 3;\n /// assert PriorityQueue.peek(pq) == ?10;\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// `n` denotes the number of elements in the iterator.\n public func fromIter(iter : Types.Iter, compare : (implicit : (T, T) -> Order.Order)) : PriorityQueue {\n let pq = empty();\n for (element in iter) {\n push(pq, element)\n };\n pq\n };\n\n /// Creates a copy of the priority queue.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let original = PriorityQueue.fromIter([5, 10, 3].values(), Nat.compare);\n /// let copy = PriorityQueue.clone(original);\n /// assert PriorityQueue.pop(copy, Nat.compare) == ?10;\n /// assert PriorityQueue.size(original) == 3;\n /// ```\n ///\n /// Runtime: `O(n)`. Space: `O(n)`.\n /// `n` denotes the number of elements in the priority queue.\n public func clone(self : PriorityQueue) : PriorityQueue = {\n heap = List.clone(self.heap)\n };\n\n /// Returns an iterator that yields elements in descending priority order\n /// (highest priority first, matching `pop` semantics).\n ///\n /// The original queue is not modified. Internally clones the heap\n /// and pops from the clone on each `next()` call.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let pq = PriorityQueue.fromIter([5, 10, 3].values(), Nat.compare);\n /// assert Iter.toArray(PriorityQueue.values(pq, Nat.compare)) == [10, 5, 3];\n /// ```\n ///\n /// Runtime: `O(n)` to create the iterator, `O(log n)` per `next()` call.\n /// Space: `O(n)` for the internal clone.\n /// `n` denotes the number of elements in the priority queue.\n public func values(self : PriorityQueue, compare : (implicit : (T, T) -> Order.Order)) : Types.Iter {\n let copy : PriorityQueue = clone(self);\n object {\n public func next() : ?T {\n pop(copy)\n }\n }\n }\n}\n"},"Runtime.mo":{"content":"/// Runtime utilities.\n/// These functions were originally part of the `Debug` module.\n///\n/// ```motoko name=import\n/// import Runtime \"mo:core/Runtime\";\n/// ```\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// `trap(t)` traps execution with a user-provided diagnostic message.\n ///\n /// The caller of a future whose execution called `trap(t)` will\n /// observe the trap as an `Error` value, thrown at `await`, with code\n /// `#canister_error` and message `m`. Here `m` is a more descriptive `Text`\n /// message derived from the provided `t`. See example for more details.\n ///\n /// NOTE: Other execution environments that cannot handle traps may only\n /// propagate the trap and terminate execution, with or without some\n /// descriptive message.\n ///\n /// ```motoko include=import no-validate\n /// Runtime.trap(\"An error occurred!\");\n /// ```\n public func trap(errorMessage : Text) : None {\n Prim.trap errorMessage\n };\n\n /// `unreachable()` traps execution when code that should be unreachable is reached.\n ///\n /// This function is useful for marking code paths that should never be executed,\n /// such as after exhaustive pattern matches or unreachable control flow branches.\n /// If execution reaches this function, it indicates a programming error.\n ///\n /// ```motoko include=import no-validate\n /// let number = switch (?5) {\n /// case (?n) n;\n /// case null Runtime.unreachable();\n /// };\n /// assert number == 5;\n /// ```\n public func unreachable() : None {\n trap(\"Runtime.unreachable()\")\n };\n\n /// Returns the names of all canister environment variables.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// let names = Runtime.envVarNames();\n /// ```\n public func envVarNames() : [Text] {\n return Prim.envVarNames()\n };\n\n /// Returns an optional value of the canister environment variable with the given name.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// let value = Runtime.envVar(\"MY_ENV_VAR\");\n /// let result = switch (value) {\n /// case (?v) v;\n /// case null Runtime.trap(\"Unknown environment variable\");\n /// };\n /// ```\n public func envVar(name : Text) : ?Text {\n return Prim.envVar(name)\n }\n\n}\n"},"internal/BTreeHelper.mo":{"content":"// Implementation is courtesy of Byron Becker.\n// Source: https://github.com/canscale/StableHeapBTreeMap\n// Copyright (c) 2022 Byron Becker.\n// Distributed under Apache 2.0 license.\n// With adjustments by the Motoko team.\n\nimport VarArray \"../VarArray\";\nimport Runtime \"../Runtime\";\n\nmodule {\n /// Inserts an element into a mutable array at a specific index, shifting all other elements over\n ///\n /// Parameters:\n ///\n /// array - the array being inserted into\n /// insertElement - the element being inserted\n /// insertIndex - the index at which the element will be inserted\n /// currentLastElementIndex - the index of last **non-null** element in the array (used to start shifting elements over)\n ///\n /// Note: This assumes that there are nulls at the end of the array and that the array is not full.\n /// If the array is already full, this function will overflow the array size when attempting to\n /// insert and will cause the cansiter to trap\n public func insertAtPosition(array : [var ?T], insertElement : ?T, insertIndex : Nat, currentLastElementIndex : Nat) {\n // if inserting at the end of the array, don't need to do any shifting and can just insert and return\n if (insertIndex == currentLastElementIndex + 1) {\n array[insertIndex] := insertElement;\n return\n };\n\n // otherwise, need to shift all of the elements at the end of the array over one by one until\n // the insert index is hit.\n var j = currentLastElementIndex;\n label l loop {\n array[j + 1] := array[j];\n if (j == insertIndex) {\n array[j] := insertElement;\n break l\n };\n\n j -= 1\n }\n };\n\n /// Splits the array into two halves as if the insert has occured, omitting the middle element and returning it so that it can\n /// be promoted to the parent internal node. This is used when inserting an element into an array of elements that\n /// is already full.\n ///\n /// Note: Use only when inserting an element into a FULL array & promoting the resulting midpoint element.\n /// This is NOT the same as just splitting this array!\n ///\n /// Parameters:\n ///\n /// array - the array being split\n /// insertElement - the element being inserted\n /// insertIndex - the position/index that the insertElement should be inserted\n public func insertOneAtIndexAndSplitArray(array : [var ?T], insertElement : T, insertIndex : Nat) : ([var ?T], T, [var ?T]) {\n // split at the BTree order / 2\n let splitIndex = (array.size() + 1) / 2;\n // this function assumes the the splitIndex is in the middle of the kvs array - trap otherwise\n if (splitIndex > array.size()) { assert false };\n\n let leftSplit = if (insertIndex < splitIndex) {\n VarArray.tabulate(\n array.size(),\n func(i) {\n // if below the split index\n if (i < splitIndex) {\n // if below the insert index, copy over\n if (i < insertIndex) { array[i] }\n // if less than the insert index, copy over the previous element (since the inserted element has taken up 1 extra slot)\n else if (i > insertIndex) { array[i - 1] }\n // if equal to the insert index add the element to be inserted to the left split\n else { ?insertElement }\n } else { null }\n }\n )\n }\n // index >= splitIndex\n else {\n VarArray.tabulate(\n array.size(),\n func(i) {\n // right biased splitting\n if (i < splitIndex) { array[i] } else { null }\n }\n )\n };\n\n let (rightSplit, middleElement) : ([var ?T], ?T) =\n // if insert > split index, inserted element will be inserted into the right split\n if (insertIndex > splitIndex) {\n let right = VarArray.tabulate(\n array.size(),\n func(i) {\n let adjIndex = i + splitIndex + 1; // + 1 accounts for the fact that the split element was part of the original array\n if (adjIndex <= array.size()) {\n if (adjIndex < insertIndex) { array[adjIndex] } else if (adjIndex > insertIndex) {\n array[adjIndex - 1]\n } else { ?insertElement }\n } else { null }\n }\n );\n (right, array[splitIndex])\n }\n // if inserted element was placed in the left split\n else if (insertIndex < splitIndex) {\n let right = VarArray.tabulate(\n array.size(),\n func(i) {\n let adjIndex = i + splitIndex;\n if (adjIndex < array.size()) { array[adjIndex] } else { null }\n }\n );\n (right, array[splitIndex - 1])\n }\n // insertIndex == splitIndex\n else {\n let right = VarArray.tabulate(\n array.size(),\n func(i) {\n let adjIndex = i + splitIndex;\n if (adjIndex < array.size()) { array[adjIndex] } else { null }\n }\n );\n (right, ?insertElement)\n };\n\n switch (middleElement) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: insertOneAtIndexAndSplitArray, middle element of a BTree node should never be null\")\n };\n case (?el) { (leftSplit, el, rightSplit) }\n }\n };\n\n /// Context of use: This function is used after inserting a child node into the full child of an internal node that is also full.\n /// From the insertion, the full child is rebalanced and split, and then since the internal node is full, when replacing the two\n /// halves of that rebalanced child into the internal node's children this causes a second split. This function takes in the\n /// internal node's children, and the \"rebalanced\" split child nodes, as well as the index at which the \"rebalanced\" left and right\n /// child will be inserted and replaces the original child with those two halves\n ///\n /// Note: Use when inserting two successive elements into a FULL array and splitting that array.\n /// This is NOT the same as just splitting this array!\n ///\n /// Assumptions: this function also assumes that the children array is full (no nulls)\n ///\n /// Parameters:\n ///\n /// children - the internal node's children array being split\n /// rebalancedChildIndex - the index used to mark where the rebalanced left and right children will be inserted\n /// leftChildInsert - the rebalanced left child being inserted\n /// rightChildInsert - the rebalanced right child being inserted\n public func splitArrayAndInsertTwo(children : [var ?T], rebalancedChildIndex : Nat, leftChildInsert : T, rightChildInsert : T) : ([var ?T], [var ?T]) {\n let splitIndex = children.size() / 2;\n\n let leftRebalancedChildren = VarArray.tabulate(\n children.size(),\n func(i) {\n // only insert elements up to the split index and fill the rest of the children with nulls\n if (i <= splitIndex) {\n if (i < rebalancedChildIndex) { children[i] }\n // insert the left and right rebalanced child halves if the rebalancedChildIndex comes before the splitIndex\n else if (i == rebalancedChildIndex) {\n ?leftChildInsert\n } else if (i == rebalancedChildIndex + 1) { ?rightChildInsert } else {\n children[i - 1]\n } // i > rebalancedChildIndex\n } else { null }\n }\n );\n\n let rightRebalanceChildren : [var ?T] =\n // Case 1: if both left and right rebalanced halves were inserted into the left child can just go from the split index onwards\n if (rebalancedChildIndex + 1 <= splitIndex) {\n VarArray.tabulate(\n children.size(),\n func(i) {\n let adjIndex = i + splitIndex;\n if (adjIndex < children.size()) { children[adjIndex] } else { null }\n }\n )\n }\n // Case 2: if both left and right rebalanced halves will be inserted into the right child\n else if (rebalancedChildIndex > splitIndex) {\n var rebalanceOffset = 0;\n VarArray.tabulate(\n children.size(),\n func(i) {\n let adjIndex = i + splitIndex + 1;\n if (adjIndex == rebalancedChildIndex) { ?leftChildInsert } else if (adjIndex == rebalancedChildIndex + 1) {\n rebalanceOffset := 1; // after inserting both rebalanced children, any elements coming after are from the previous index\n ?rightChildInsert\n } else if (adjIndex <= children.size()) {\n children[adjIndex - rebalanceOffset]\n } else { null }\n }\n )\n }\n // Case 3: if left rebalanced half was in left child, and right rebalanced half will be in right child\n // rebalancedChildIndex == splitIndex\n else {\n VarArray.tabulate(\n children.size(),\n func(i) {\n // first element is the right rebalanced half\n if (i == 0) { ?rightChildInsert } else {\n let adjIndex = i + splitIndex;\n if (adjIndex < children.size()) { children[adjIndex] } else {\n null\n }\n }\n }\n )\n };\n\n (leftRebalancedChildren, rightRebalanceChildren)\n };\n\n /// Specific to the BTree delete implementation (assumes node ordering such that nulls come at the end of the array)\n ///\n /// Assumptions:\n /// * All nulls come at the end of the array\n /// * Assumes the delete index provided is correct and non null - will trap otherwise\n /// * deleteIndex < array.size()\n ///\n /// Deletes an element from the the array, and then shifts all non-null elements coming after that deleted element by 1\n /// to the left. Returns the element that was deleted.\n public func deleteAndShift(array : [var ?T], deleteIndex : Nat) : T {\n var deleted : T = switch (array[deleteIndex]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: deleteAndShift, an invalid/incorrect delete index was passed\")\n };\n case (?el) { el }\n };\n\n array[deleteIndex] := null;\n\n var i = deleteIndex + 1;\n label l loop {\n if (i >= array.size()) { break l };\n\n switch (array[i]) {\n case null { break l };\n case (?_) {\n array[i - 1] := array[i]\n }\n };\n\n i += 1\n };\n\n array[i - 1] := null;\n\n deleted\n };\n\n // replaces two successive elements in the array with a single element and shifts all other elements to the left by 1\n public func replaceTwoWithElementAndShift(array : [var ?T], element : T, replaceIndex : Nat) {\n array[replaceIndex] := ?element;\n\n var i = replaceIndex + 1;\n let endShiftIndex : Nat = array.size() - 1;\n while (i < endShiftIndex) {\n switch (array[i]) {\n case (?_) { array[i] := array[i + 1] };\n case null { return }\n };\n\n i += 1\n };\n\n array[endShiftIndex] := null\n };\n\n /// BTree specific implementation\n ///\n /// In a single iteration insert at one position of the array while deleting at another position of the array, shifting all\n /// elements as appropriate\n ///\n /// This is used when borrowing an element from an inorder predecessor/successor through the parent node\n public func insertAtPostionAndDeleteAtPosition(array : [var ?T], insertElement : ?T, insertIndex : Nat, deleteIndex : Nat) : T {\n var deleted : T = switch (array[deleteIndex]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: insertAtPositionAndDeleteAtPosition, and incorrect delete index was passed\")\n }; // indicated an incorrect delete index was passed - trap\n case (?el) { el }\n };\n\n // Example of this case:\n //\n // Insert Delete\n // V V\n //[var ?10, ?20, ?30, ?40, ?50]\n if (insertIndex < deleteIndex) {\n var i = deleteIndex;\n while (i > insertIndex) {\n array[i] := array[i - 1];\n i -= 1\n };\n\n array[insertIndex] := insertElement\n }\n // Example of this case:\n //\n // Delete Insert\n // V V\n //[var ?10, ?20, ?30, ?40, ?50]\n else if (insertIndex > deleteIndex) {\n array[deleteIndex] := null;\n var i = deleteIndex + 1;\n label l loop {\n if (i >= array.size()) { assert false; break l }; // TODO: remove? this should not happen since the insertIndex should get hit first?\n\n if (i == insertIndex) {\n array[i - 1] := array[i];\n array[i] := insertElement;\n break l\n } else {\n array[i - 1] := array[i]\n };\n\n i += 1\n };\n\n }\n // insertIndex == deleteIndex, can just do a swap\n else { array[deleteIndex] := insertElement };\n\n deleted\n };\n\n // which child the deletionIndex is referring to\n public type DeletionSide = { #left; #right };\n\n // merges a middle (parent) element with the left and right child arrays while deleting the element from the correct child by the deleteIndex passed\n public func mergeParentWithChildrenAndDelete(\n parentElement : ?T,\n childCount : Nat,\n leftChild : [var ?T],\n rightChild : [var ?T],\n deleteIndex : Nat,\n deletionSide : DeletionSide\n ) : ([var ?T], T) {\n let mergedArray = VarArray.repeat(null, leftChild.size());\n var i = 0;\n switch (deletionSide) {\n case (#left) {\n // BTree implementation expects the deleted element to exist - if null, traps\n let deletedElement = switch (leftChild[deleteIndex]) {\n case (?el) { el };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: mergeParentWithChildrenAndDelete, an invalid delete index was passed\")\n }\n };\n\n // copy over left child until deleted element is hit, then copy all elements after the deleted element\n while (i < childCount) {\n if (i < deleteIndex) {\n mergedArray[i] := leftChild[i]\n } else {\n mergedArray[i] := leftChild[i + 1]\n };\n i += 1\n };\n\n // insert parent kv in the middle\n mergedArray[childCount - 1] := parentElement;\n\n // copy over the rest of the right child elements\n while (i < childCount * 2) {\n mergedArray[i] := rightChild[i - childCount];\n i += 1\n };\n\n (mergedArray, deletedElement)\n };\n case (#right) {\n // BTree implementation expects the deleted element to exist - if null, traps\n let deletedElement = switch (rightChild[deleteIndex]) {\n case (?el) { el };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: mergeParentWithChildrenAndDelete: element at deleted index must exist\")\n }\n };\n // since deletion side is #right, can safely copy over all elements from the left child\n while (i < childCount) {\n mergedArray[i] := leftChild[i];\n i += 1\n };\n\n // insert parent kv in the middle\n mergedArray[childCount] := parentElement;\n i += 1;\n\n var j = 0;\n // copy over right child until deleted element is hit, then copy elements after the deleted element\n while (i < childCount * 2) {\n if (j < deleteIndex) {\n mergedArray[i] := rightChild[j]\n } else {\n mergedArray[i] := rightChild[j + 1]\n };\n i += 1;\n j += 1\n };\n\n (mergedArray, deletedElement)\n }\n }\n };\n\n}\n"},"Nat64.mo":{"content":"/// Utility functions on 64-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat64 \"mo:core/Nat64\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 64-bit natural numbers.\n public type Nat64 = Prim.Types.Nat64;\n\n /// Maximum 64-bit natural number. `2 ** 64 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.maxValue == (18446744073709551615 : Nat64);\n /// ```\n public let maxValue : Nat64 = 18446744073709551615;\n\n /// Converts a 64-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat64) -> Nat = Prim.nat64ToNat;\n\n /// Converts an unsigned integer with infinite precision to a 64-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat(123) == (123 : Nat64);\n /// ```\n public let fromNat : Nat -> Nat64 = Prim.natToNat64;\n\n /// Converts a 64-bit unsigned integer to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat8(123) == (123 : Nat8);\n /// ```\n public func toNat8(self : Nat64) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(Prim.nat64ToNat32(self)))\n };\n\n /// Converts a 16-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat16(123) == (123 : Nat64);\n /// ```\n /// @deprecated M0235\n public func fromNat16(x : Nat16) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(x))\n };\n\n /// Converts a 64-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat16(123) == (123 : Nat16);\n /// ```\n public func toNat16(self : Nat64) : Nat16 {\n Prim.nat32ToNat16(Prim.nat64ToNat32(self))\n };\n\n /// Converts an 8-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat8(123) == (123 : Nat64);\n /// ```\n /// @deprecated M0235\n public func fromNat8(x : Nat8) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(Prim.nat8ToNat16(x)))\n };\n\n /// Converts a 32-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat32(123) == (123 : Nat64);\n /// ```\n /// @deprecated M0235\n public let fromNat32 : (x : Nat32) -> Nat64 = Prim.nat32ToNat64;\n\n /// Converts a 64-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat32(123) == (123 : Nat32);\n /// ```\n public let toNat32 : (self : Nat64) -> Nat32 = Prim.nat64ToNat32;\n\n /// Converts a signed integer with infinite precision to a 64-bit unsigned integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromIntWrap(123) == (123 : Nat64);\n /// ```\n public let fromIntWrap : Int -> Nat64 = Prim.intToNat64Wrap;\n\n /// Converts `x` to its textual representation. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toText(1234) == (\"1234\" : Text);\n /// ```\n public func toText(self : Nat64) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.min(123, 456) == (123 : Nat64);\n /// ```\n public func min(x : Nat64, y : Nat64) : Nat64 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.max(123, 456) == (456 : Nat64);\n /// ```\n public func max(x : Nat64, y : Nat64) : Nat64 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat64 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.equal(1, 1);\n /// assert (1 : Nat64) == (1 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat64 = 111;\n /// let b : Nat64 = 222;\n /// assert not Nat64.equal(a, b);\n /// ```\n public func equal(x : Nat64, y : Nat64) : Bool { x == y };\n\n /// Inequality function for Nat64 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.notEqual(1, 2);\n /// assert (1 : Nat64) != (2 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat64, y : Nat64) : Bool { x != y };\n\n /// \"Less than\" function for Nat64 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.less(1, 2);\n /// assert (1 : Nat64) < (2 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat64, y : Nat64) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat64 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.lessOrEqual(1, 2);\n /// assert (1 : Nat64) <= (2 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat64, y : Nat64) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat64 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.greater(2, 1);\n /// assert (2 : Nat64) > (1 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat64, y : Nat64) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat64 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.greaterOrEqual(2, 1);\n /// assert (2 : Nat64) >= (1 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat64, y : Nat64) : Bool {\n x >= y\n };\n\n /// General purpose comparison function for `Nat64`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat64], Nat64.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat64, y : Nat64) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.add(1, 2) == 3;\n /// assert (1 : Nat64) + (2 : Nat64) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat64.add) == 6;\n /// ```\n public func add(x : Nat64, y : Nat64) : Nat64 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.sub(3, 1) == 2;\n /// assert (3 : Nat64) - (1 : Nat64) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 10, Nat64.sub) == 4;\n /// ```\n public func sub(x : Nat64, y : Nat64) : Nat64 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.mul(2, 3) == 6;\n /// assert (2 : Nat64) * (3 : Nat64) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat64.mul) == 6;\n /// ```\n public func mul(x : Nat64, y : Nat64) : Nat64 { x * y };\n\n /// Returns the quotient of `x` divided by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.div(6, 2) == 3;\n /// assert (6 : Nat64) / (2 : Nat64) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat64, y : Nat64) : Nat64 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.rem(6, 4) == 2;\n /// assert (6 : Nat64) % (4 : Nat64) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat64, y : Nat64) : Nat64 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`. Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.pow(2, 3) == 8;\n /// assert (2 : Nat64) ** (3 : Nat64) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat64, y : Nat64) : Nat64 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitnot(0) == 18446744073709551615;\n /// assert ^(0 : Nat64) == 18446744073709551615;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat64) : Nat64 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitand(1, 3) == 1;\n /// assert (1 : Nat64) & (3 : Nat64) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat64, y : Nat64) : Nat64 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitor(1, 3) == 3;\n /// assert (1 : Nat64) | (3 : Nat64) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Nat64, y : Nat64) : Nat64 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitxor(1, 3) == 2;\n /// assert (1 : Nat64) ^ (3 : Nat64) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Nat64, y : Nat64) : Nat64 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitshiftLeft(1, 3) == 8;\n /// assert (1 : Nat64) << (3 : Nat64) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat64, y : Nat64) : Nat64 {\n x << y\n };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitshiftRight(8, 3) == 1;\n /// assert (8 : Nat64) >> (3 : Nat64) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat64, y : Nat64) : Nat64 {\n x >> y\n };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitrotLeft(1, 3) == 8;\n /// assert (1 : Nat64) <<> (3 : Nat64) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat64, y : Nat64) : Nat64 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitrotRight(8, 3) == 1;\n /// assert (8 : Nat64) <>> (3 : Nat64) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat64, y : Nat64) : Nat64 {\n x <>> y\n };\n\n /// Returns the value of bit `p mod 64` in `x`, `(x & 2^(p mod 64)) == 2^(p mod 64)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bittest(5, 2);\n /// ```\n public func bittest(x : Nat64, p : Nat) : Bool {\n Prim.btstNat64(x, Prim.natToNat64(p))\n };\n\n /// Returns the value of setting bit `p mod 64` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitset(5, 1) == 7;\n /// ```\n public func bitset(x : Nat64, p : Nat) : Nat64 {\n x | (1 << Prim.natToNat64(p))\n };\n\n /// Returns the value of clearing bit `p mod 64` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat64, p : Nat) : Nat64 {\n x & ^(1 << Prim.natToNat64(p))\n };\n\n /// Returns the value of flipping bit `p mod 64` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat64, p : Nat) : Nat64 {\n x ^ (1 << Prim.natToNat64(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat64) -> Nat64 = Prim.popcntNat64;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitcountLeadingZero(5) == 61;\n /// ```\n public let bitcountLeadingZero : (x : Nat64) -> Nat64 = Prim.clzNat64;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitcountTrailingZero(16) == 4;\n /// ```\n public let bitcountTrailingZero : (x : Nat64) -> Nat64 = Prim.ctzNat64;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.explode 0xbb772266aa885511 == (187, 119, 34, 102, 170, 136, 85, 17);\n /// ```\n public let explode : (x : Nat64) -> (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeNat64;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.addWrap(Nat64.maxValue, 1) == 0;\n /// assert Nat64.maxValue +% (1 : Nat64) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat64, y : Nat64) : Nat64 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.subWrap(0, 1) == 18446744073709551615;\n /// assert (0 : Nat64) -% (1 : Nat64) == 18446744073709551615;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat64, y : Nat64) : Nat64 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.mulWrap(4294967296, 4294967296) == 0;\n /// assert (4294967296 : Nat64) *% (4294967296 : Nat64) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat64, y : Nat64) : Nat64 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.powWrap(2, 64) == 0;\n /// assert (2 : Nat64) **% (64 : Nat64) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat64, y : Nat64) : Nat64 { x **% y };\n\n /// Returns an iterator over `Nat64` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat64, toExclusive : Nat64) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat64 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat64` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat64, to : Nat64) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat64 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat64 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"Int.mo":{"content":"/// Signed integer numbers with infinite precision (also called big integers).\n///\n/// Most operations on integer numbers (e.g. addition) are available as built-in operators (e.g. `-1 + 1`).\n/// This module provides equivalent functions and `Text` conversion.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int \"mo:core/Int\";\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Char \"Char\";\nimport Runtime \"Runtime\";\nimport Iter \"Iter\";\nimport Order \"Order\";\n\nmodule {\n\n /// Infinite precision signed integers.\n public type Int = Prim.Types.Int;\n\n /// Returns the absolute value of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.abs(-12) == 12;\n /// ```\n public let abs : (x : Int) -> Nat = Prim.abs;\n\n /// Converts an integer number to its textual representation. Textual\n /// representation _do not_ contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toText(-1234) == \"-1234\";\n /// ```\n public func toText(self : Int) : Text {\n if (self == 0) {\n return \"0\"\n };\n\n let isNegative = self < 0;\n var int = if isNegative { -self } else { self };\n\n var text = \"\";\n let base = 10;\n\n while (int > 0) {\n let rem = int % base;\n text := (\n switch (rem) {\n case 0 { \"0\" };\n case 1 { \"1\" };\n case 2 { \"2\" };\n case 3 { \"3\" };\n case 4 { \"4\" };\n case 5 { \"5\" };\n case 6 { \"6\" };\n case 7 { \"7\" };\n case 8 { \"8\" };\n case 9 { \"9\" };\n case _ { Runtime.unreachable() }\n }\n ) # text;\n int := int / base\n };\n\n return if isNegative { \"-\" # text } else { text }\n };\n\n /// Creates a integer from its textual representation. Returns `null`\n /// if the input is not a valid integer.\n ///\n /// The textual representation _must not_ contain underscores but may\n /// begin with a '+' or '-' character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromText(\"-1234\") == ?-1234;\n /// ```\n public func fromText(text : Text) : ?Int {\n if (text == \"\") {\n return null\n };\n var n = 0;\n var isFirst = true;\n var isNegative = false;\n var hasDigits = false;\n for (c in text.chars()) {\n if (isFirst and c == '+') {\n // Skip character\n } else if (isFirst and c == '-') {\n isNegative := true\n } else if (Char.isDigit(c)) {\n hasDigits := true;\n let charAsNat = Prim.nat32ToNat(Prim.charToNat32(c) -% Prim.charToNat32('0'));\n n := n * 10 + charAsNat\n } else {\n return null\n };\n isFirst := false\n };\n if (not hasDigits) {\n return null\n };\n ?(if (isNegative) { -n } else { n })\n };\n\n /// Creates a integer from its textual representation. Returns `null`\n /// if the input is not a valid integer.\n ///\n /// This functions is meant to be used with contextual-dot notation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert \"-1234\".toInt() == ?-1234;\n /// ```\n public func toInt(self : Text) : ?Int {\n fromText(self)\n };\n\n /// Converts an integer to a natural number. Traps if the integer is negative.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Debug \"mo:core/Debug\";\n /// assert Int.toNat(1234 : Int) == (1234 : Nat);\n /// ```\n public func toNat(self : Int) : Nat {\n if (self < 0) {\n Runtime.trap(\"Int.toNat(): negative input value\")\n } else {\n abs(self)\n }\n };\n\n /// Converts a natural number to an integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromNat(1234 : Nat) == (1234 : Int);\n /// ```\n public func fromNat(nat : Nat) : Int {\n nat : Int\n };\n\n /// Conversion to Float. May result in `Inf`.\n ///\n /// Note: The floating point number may be imprecise for large or small Int values.\n /// Returns `inf` if the integer is greater than the maximum floating point number.\n /// Returns `-inf` if the integer is less than the minimum floating point number.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toFloat(-123) == -123.0;\n /// ```\n public let toFloat : (self : Int) -> Float = Prim.intToFloat;\n\n /// Converts a signed integer with infinite precision to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt8(123) == (123 : Int8);\n /// ```\n public let toInt8 : (self : Int) -> Int8 = Prim.intToInt8;\n\n /// Converts a signed integer with infinite precision to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt16(12_345) == (12_345 : Int16);\n /// ```\n public let toInt16 : (self : Int) -> Int16 = Prim.intToInt16;\n\n /// Converts a signed integer with infinite precision to a 32-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt32(123_456) == (123_456 : Int32);\n /// ```\n public let toInt32 : (self : Int) -> Int32 = Prim.intToInt32;\n\n /// Converts a signed integer with infinite precision to a 64-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt64(123_456_789) == (123_456_789 : Int64);\n /// ```\n public let toInt64 : (self : Int) -> Int64 = Prim.intToInt64;\n\n /// Converts an 8-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt8(123 : Int8) == 123;\n /// ```\n public let fromInt8 : (x : Int8) -> Int = Prim.int8ToInt;\n\n /// Converts a 16-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt16(12_345 : Int16) == 12_345;\n /// ```\n public let fromInt16 : (x : Int16) -> Int = Prim.int16ToInt;\n\n /// Converts a 32-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt32(123_456 : Int32) == 123_456;\n /// ```\n public let fromInt32 : (x : Int32) -> Int = Prim.int32ToInt;\n\n /// Converts a 64-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt64(123_456_789 : Int64) == 123_456_789;\n /// ```\n public let fromInt64 : (x : Int64) -> Int = Prim.int64ToInt;\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.min(2, -3) == -3;\n /// ```\n public func min(x : Int, y : Int) : Int {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.max(2, -3) == 2;\n /// ```\n public func max(x : Int, y : Int) : Int {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int = 1;\n /// let b : Int = -1;\n /// assert not Int.equal(a, b);\n /// ```\n public func equal(x : Int, y : Int) : Bool { x == y };\n\n /// Inequality function for Int types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int, y : Int) : Bool { x != y };\n\n /// \"Less than\" function for Int types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int, y : Int) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.lessOrEqual(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int, y : Int) : Bool { x <= y };\n\n /// \"Greater than\" function for Int types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.greater(1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int, y : Int) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.greaterOrEqual(1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int, y : Int) : Bool { x >= y };\n\n /// General-purpose comparison function for `Int`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3], Int.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int, y : Int) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x` .\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int) : Int { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.add(1, -2) == -1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int.add) == -4;\n /// ```\n public func add(x : Int, y : Int) : Int { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.sub(1, 2) == -1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int.sub) == 4;\n /// ```\n public func sub(x : Int, y : Int) : Int { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.mul(-2, 3) == -6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int.mul) == 6;\n /// ```\n public func mul(x : Int, y : Int) : Int { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.div(6, -2) == -3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int, y : Int) : Int { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.rem(6, -4) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int, y : Int) : Int { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps when `y` is negative or `y > 2 ** 32 - 1`.\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.pow(-2, 3) == -8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int, y : Int) : Int { x ** y };\n\n /// Returns an iterator over the integers from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int, toExclusive : Int) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int {\n if (n >= toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int` values from the first to second argument with an exclusive upper bound,\n /// incrementing by the specified step size.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Int.rangeBy(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Int.rangeBy(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeBy(fromInclusive : Int, toExclusive : Int, step : Int) : Iter.Iter {\n if (step == 0) {\n Iter.empty()\n } else if (step > 0 and fromInclusive < toExclusive) {\n object {\n var n = fromInclusive;\n public func next() : ?Int {\n if (n >= toExclusive) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else if (step < 0 and fromInclusive > toExclusive) {\n object {\n var n = fromInclusive;\n public func next() : ?Int {\n if (n <= toExclusive) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else {\n Iter.empty()\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.rangeInclusive(3, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int, to : Int) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n public func next() : ?Int {\n if (n > to) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive,\n /// incrementing by the specified step size.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Int.rangeByInclusive(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == ?7;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Int.rangeByInclusive(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == ?1;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `from == to`, return an iterator which only returns that value.\n ///\n /// Otherwise, if `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeByInclusive(from : Int, to : Int, step : Int) : Iter.Iter {\n if (from == to) {\n Iter.singleton(from)\n } else if (step == 0) {\n Iter.empty()\n } else if (step > 0 and from < to) {\n object {\n var n = from;\n public func next() : ?Int {\n if (n >= to + 1) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else if (step < 0 and from > to) {\n object {\n var n = from;\n public func next() : ?Int {\n if (n + 1 <= to) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else {\n Iter.empty()\n }\n };\n\n}\n"},"Int16.mo":{"content":"/// Utility functions on 16-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int16 \"mo:core/Int16\";\n/// ```\n\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 16-bit signed integers.\n public type Int16 = Prim.Types.Int16;\n\n /// Minimum 16-bit integer value, `-2 ** 15`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.minValue == (-32_768 : Int16);\n /// ```\n public let minValue : Int16 = -32_768;\n\n /// Maximum 16-bit integer value, `+2 ** 15 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.maxValue == (+32_767 : Int16);\n /// ```\n public let maxValue : Int16 = 32_767;\n\n /// Converts a 16-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt(12_345) == (12_345 : Int);\n /// ```\n public let toInt : (self : Int16) -> Int = Prim.int16ToInt;\n\n /// Converts a signed integer with infinite precision to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt(12_345) == (+12_345 : Int16);\n /// ```\n public let fromInt : Int -> Int16 = Prim.intToInt16;\n\n /// Converts a signed integer with infinite precision to a 16-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromIntWrap(-12_345) == (-12_345 : Int);\n /// ```\n public let fromIntWrap : Int -> Int16 = Prim.intToInt16Wrap;\n\n /// Converts a 8-bit signed integer to a 16-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt8(-123) == (-123 : Int16);\n /// ```\n public let fromInt8 : Int8 -> Int16 = Prim.int8ToInt16;\n\n /// Converts a 16-bit signed integer to a 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt8(-123) == (-123 : Int8);\n /// ```\n public let toInt8 : (self : Int16) -> Int8 = Prim.int16ToInt8;\n\n /// Converts a 32-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt32(-12_345) == (-12_345 : Int16);\n /// ```\n public let fromInt32 : Int32 -> Int16 = Prim.int32ToInt16;\n\n /// Converts a 16-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt32(-12_345) == (-12_345 : Int32);\n /// ```\n public let toInt32 : (self : Int16) -> Int32 = Prim.int16ToInt32;\n\n /// Converts a 64-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt64(-12_345) == (-12_345 : Int16);\n /// ```\n public func fromInt64(x : Int64) : Int16 {\n Prim.int32ToInt16(Prim.int64ToInt32(x))\n };\n\n /// Converts a 16-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt64(-12_345) == (-12_345 : Int64);\n /// ```\n public func toInt64(self : Int16) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(self))\n };\n\n /// Converts an unsigned 16-bit integer to a signed 16-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromNat16(12_345) == (+12_345 : Int16);\n /// ```\n public let fromNat16 : Nat16 -> Int16 = Prim.nat16ToInt16;\n\n /// Converts a signed 16-bit integer to an unsigned 16-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toNat16(-1) == (65_535 : Nat16); // underflow\n /// ```\n public let toNat16 : (self : Int16) -> Nat16 = Prim.int16ToNat16;\n\n /// Returns the Text representation of `x`. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toText(-12345) == \"-12345\";\n /// ```\n public func toText(self : Int16) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 15` (the minimum `Int16` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.abs(-12345) == +12_345;\n /// ```\n public func abs(x : Int16) : Int16 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.min(+2, -3) == -3;\n /// ```\n public func min(x : Int16, y : Int16) : Int16 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.max(+2, -3) == +2;\n /// ```\n public func max(x : Int16, y : Int16) : Int16 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int16 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int16 = -123;\n /// let b : Int16 = 123;\n /// assert not Int16.equal(a, b);\n /// ```\n public func equal(x : Int16, y : Int16) : Bool { x == y };\n\n /// Inequality function for Int16 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int16, y : Int16) : Bool { x != y };\n\n /// \"Less than\" function for Int16 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int16, y : Int16) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int16 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int16, y : Int16) : Bool { x <= y };\n\n /// \"Greater than\" function for Int16 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert not Int16.greater(-2, 1);\n /// ```\n public func greater(x : Int16, y : Int16) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int16 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.greaterOrEqual(-2, -2);\n /// ```\n public func greaterOrEqual(x : Int16, y : Int16) : Bool {\n x >= y\n };\n\n /// General-purpose comparison function for `Int16`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int16], Int16.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int16, y : Int16) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 15)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int16) : Int16 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.add(100, 23) == +123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int16.add) == -4;\n /// ```\n public func add(x : Int16, y : Int16) : Int16 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.sub(123, 100) == +23;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int16.sub) == 4;\n /// ```\n public func sub(x : Int16, y : Int16) : Int16 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.mul(12, 10) == +120;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int16.mul) == 6;\n /// ```\n public func mul(x : Int16, y : Int16) : Int16 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int16, y : Int16) : Int16 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int16, y : Int16) : Int16 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 16`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.pow(2, 10) == +1_024;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int16, y : Int16) : Int16 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitnot(-256 /* 0xff00 */) == +255 // 0xff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int16) : Int16 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitand(0x0fff, 0x00f0) == +240 // 0xf0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int16, y : Int16) : Int16 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitor(0x0f0f, 0x00f0) == +4_095 // 0x0fff;\n /// ```\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int16, y : Int16) : Int16 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitxor(0x0fff, 0x00f0) == +3_855 // 0x0f0f;\n /// ```\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int16, y : Int16) : Int16 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 16`, the semantics is the same as for `bitshiftLeft(x, y % 16)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitshiftLeft(1, 8) == +256 // 0x100 equivalent to `2 ** 8`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int16, y : Int16) : Int16 {\n x << y\n };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 16`, the semantics is the same as for `bitshiftRight(x, y % 16)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitshiftRight(1024, 8) == +4 // equivalent to `1024 / (2 ** 8)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int16, y : Int16) : Int16 {\n x >> y\n };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 16`, the semantics is the same as for `bitrotLeft(x, y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitrotLeft(0x2001, 4) == +18 // 0x12.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int16, y : Int16) : Int16 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 16`, the semantics is the same as for `bitrotRight(x, y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitrotRight(0x2010, 8) == +4_128 // 0x01020.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int16, y : Int16) : Int16 {\n x <>> y\n };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 16`, the semantics is the same as for `bittest(x, p % 16)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bittest(128, 7);\n /// ```\n public func bittest(x : Int16, p : Nat) : Bool {\n Prim.btstInt16(x, Prim.intToInt16(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 16`, the semantics is the same as for `bitset(x, p % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitset(0, 7) == +128;\n /// ```\n public func bitset(x : Int16, p : Nat) : Int16 {\n x | (1 << Prim.intToInt16(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 16`, the semantics is the same as for `bitclear(x, p % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitclear(-1, 7) == -129;\n /// ```\n public func bitclear(x : Int16, p : Nat) : Int16 {\n x & ^(1 << Prim.intToInt16(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 16`, the semantics is the same as for `bitclear(x, p % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitflip(255, 7) == +127;\n /// ```\n public func bitflip(x : Int16, p : Nat) : Int16 {\n x ^ (1 << Prim.intToInt16(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitcountNonZero(0xff) == +8;\n /// ```\n public let bitcountNonZero : (x : Int16) -> Int16 = Prim.popcntInt16;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitcountLeadingZero(0x80) == +8;\n /// ```\n public let bitcountLeadingZero : (x : Int16) -> Int16 = Prim.clzInt16;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitcountTrailingZero(0x0100) == +8;\n /// ```\n public let bitcountTrailingZero : (x : Int16) -> Int16 = Prim.ctzInt16;\n\n /// Returns the upper (i.e. most significant) and lower (least significant) byte of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.explode 0x77ee == (119, 238);\n /// ```\n public let explode : (x : Int16) -> (msb : Nat8, lsb : Nat8) = Prim.explodeInt16;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.addWrap(2 ** 14, 2 ** 14) == -32_768; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int16, y : Int16) : Int16 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.subWrap(-2 ** 15, 1) == +32_767; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int16, y : Int16) : Int16 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.mulWrap(2 ** 8, 2 ** 8) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int16, y : Int16) : Int16 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 16`.\n ///\n /// Example:\n /// ```motoko include=import\n ///\n /// assert Int16.powWrap(2, 15) == -32_768; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int16, y : Int16) : Int16 { x **% y };\n\n /// Returns an iterator over `Int16` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int16, toExclusive : Int16) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int16 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int16` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int16, to : Int16) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int16 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int16 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.allValues();\n /// assert iter.next() == ?-32_768;\n /// assert iter.next() == ?-32_767;\n /// assert iter.next() == ?-32_766;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"Int32.mo":{"content":"/// Utility functions on 32-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int32 \"mo:core/Int32\";\n/// ```\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 32-bit signed integers.\n public type Int32 = Prim.Types.Int32;\n\n /// Minimum 32-bit integer value, `-2 ** 31`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.minValue == -2_147_483_648;\n /// ```\n public let minValue : Int32 = -2_147_483_648;\n\n /// Maximum 32-bit integer value, `+2 ** 31 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.maxValue == +2_147_483_647;\n /// ```\n public let maxValue : Int32 = 2_147_483_647;\n\n /// Converts a 32-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt(123_456) == (123_456 : Int);\n /// ```\n public let toInt : (self : Int32) -> Int = Prim.int32ToInt;\n\n /// Converts a signed integer with infinite precision to a 32-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt(123_456) == (+123_456 : Int32);\n /// ```\n public let fromInt : Int -> Int32 = Prim.intToInt32;\n\n /// Converts a signed integer with infinite precision to a 32-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromIntWrap(-123_456) == (-123_456 : Int);\n /// ```\n public let fromIntWrap : Int -> Int32 = Prim.intToInt32Wrap;\n\n /// Converts a 16-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt16(-123) == (-123 : Int32);\n /// ```\n public let fromInt16 : Int16 -> Int32 = Prim.int16ToInt32;\n\n /// Converts an 8-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt8(-123) == (-123 : Int32);\n /// ```\n public func fromInt8(x : Int8) : Int32 {\n Prim.int16ToInt32(Prim.int8ToInt16(x))\n };\n\n /// Converts a 32-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt8(-123) == (-123 : Int8);\n /// ```\n public func toInt8(self : Int32) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(self))\n };\n\n /// Converts a 32-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt16(-123) == (-123 : Int16);\n /// ```\n public func toInt16(self : Int32) : Int16 {\n Prim.int32ToInt16(self)\n };\n\n /// Converts a 64-bit signed integer to a 32-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt64(-123_456) == (-123_456 : Int32);\n /// ```\n public let fromInt64 : Int64 -> Int32 = Prim.int64ToInt32;\n\n /// Converts a 32-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt64(-123_456) == (-123_456 : Int64);\n /// ```\n public let toInt64 : (self : Int32) -> Int64 = Prim.int32ToInt64;\n\n /// Converts an unsigned 32-bit integer to a signed 32-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromNat32(123_456) == (+123_456 : Int32);\n /// ```\n public let fromNat32 : Nat32 -> Int32 = Prim.nat32ToInt32;\n\n /// Converts a signed 32-bit integer to an unsigned 32-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toNat32(-1) == (4_294_967_295 : Nat32); // underflow\n /// ```\n public let toNat32 : (self : Int32) -> Nat32 = Prim.int32ToNat32;\n\n /// Returns the Text representation of `x`. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toText(-123456) == \"-123456\";\n /// ```\n public func toText(self : Int32) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 31` (the minimum `Int32` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.abs(-123456) == +123_456;\n /// ```\n public func abs(x : Int32) : Int32 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.min(+2, -3) == -3;\n /// ```\n public func min(x : Int32, y : Int32) : Int32 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.max(+2, -3) == +2;\n /// ```\n public func max(x : Int32, y : Int32) : Int32 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int32 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int32 = -123;\n /// let b : Int32 = 123;\n /// assert not Int32.equal(a, b);\n /// ```\n public func equal(x : Int32, y : Int32) : Bool { x == y };\n\n /// Inequality function for Int32 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int32, y : Int32) : Bool { x != y };\n\n /// \"Less than\" function for Int32 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int32, y : Int32) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int32 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int32, y : Int32) : Bool { x <= y };\n\n /// \"Greater than\" function for Int32 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.greater(-2, -3);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int32, y : Int32) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int32 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.greaterOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int32, y : Int32) : Bool {\n x >= y\n };\n\n /// General-purpose comparison function for `Int32`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int32], Int32.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int32, y : Int32) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 31)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int32) : Int32 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.add(100, 23) == +123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int32.add) == -4;\n /// ```\n public func add(x : Int32, y : Int32) : Int32 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.sub(1234, 123) == +1_111;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int32.sub) == 4;\n /// ```\n public func sub(x : Int32, y : Int32) : Int32 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.mul(123, 100) == +12_300;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int32.mul) == 6;\n /// ```\n public func mul(x : Int32, y : Int32) : Int32 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int32, y : Int32) : Int32 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int32, y : Int32) : Int32 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 32`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.pow(2, 10) == +1_024;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int32, y : Int32) : Int32 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitnot(-256 /* 0xffff_ff00 */) == +255 // 0xff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int32) : Int32 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitand(0xffff, 0x00f0) == +240 // 0xf0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int32, y : Int32) : Int32 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitor(0xffff, 0x00f0) == +65_535 // 0xffff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int32, y : Int32) : Int32 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitxor(0xffff, 0x00f0) == +65_295 // 0xff0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int32, y : Int32) : Int32 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 32`, the semantics is the same as for `bitshiftLeft(x, y % 32)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitshiftLeft(1, 8) == +256 // 0x100 equivalent to `2 ** 8`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int32, y : Int32) : Int32 {\n x << y\n };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 32`, the semantics is the same as for `bitshiftRight(x, y % 32)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitshiftRight(1024, 8) == +4 // equivalent to `1024 / (2 ** 8)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int32, y : Int32) : Int32 {\n x >> y\n };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 32`, the semantics is the same as for `bitrotLeft(x, y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitrotLeft(0x2000_0001, 4) == +18 // 0x12.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int32, y : Int32) : Int32 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 32`, the semantics is the same as for `bitrotRight(x, y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitrotRight(0x0002_0001, 8) == +16_777_728 // 0x0100_0200.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int32, y : Int32) : Int32 {\n x <>> y\n };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 32`, the semantics is the same as for `bittest(x, p % 32)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bittest(128, 7);\n /// ```\n public func bittest(x : Int32, p : Nat) : Bool {\n Prim.btstInt32(x, Prim.intToInt32(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 32`, the semantics is the same as for `bitset(x, p % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitset(0, 7) == +128;\n /// ```\n public func bitset(x : Int32, p : Nat) : Int32 {\n x | (1 << Prim.intToInt32(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 32`, the semantics is the same as for `bitclear(x, p % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitclear(-1, 7) == -129;\n /// ```\n public func bitclear(x : Int32, p : Nat) : Int32 {\n x & ^(1 << Prim.intToInt32(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 32`, the semantics is the same as for `bitclear(x, p % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitflip(255, 7) == +127;\n /// ```\n public func bitflip(x : Int32, p : Nat) : Int32 {\n x ^ (1 << Prim.intToInt32(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitcountNonZero(0xffff) == +16;\n /// ```\n public let bitcountNonZero : (x : Int32) -> Int32 = Prim.popcntInt32;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitcountLeadingZero(0x8000) == +16;\n /// ```\n public let bitcountLeadingZero : (x : Int32) -> Int32 = Prim.clzInt32;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitcountTrailingZero(0x0201_0000) == +16;\n /// ```\n public let bitcountTrailingZero : (x : Int32) -> Int32 = Prim.ctzInt32;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.explode 0x66885511 == (102, 136, 85, 17);\n /// ```\n public let explode : (x : Int32) -> (msb : Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeInt32;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.addWrap(2 ** 30, 2 ** 30) == -2_147_483_648; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int32, y : Int32) : Int32 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.subWrap(-2 ** 31, 1) == +2_147_483_647; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int32, y : Int32) : Int32 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.mulWrap(2 ** 16, 2 ** 16) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int32, y : Int32) : Int32 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 32`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.powWrap(2, 31) == -2_147_483_648; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int32, y : Int32) : Int32 { x **% y };\n\n /// Returns an iterator over `Int32` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int32, toExclusive : Int32) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int32 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int32` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int32, to : Int32) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int32 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int32 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.allValues();\n /// assert iter.next() == ?-2_147_483_648;\n /// assert iter.next() == ?-2_147_483_647;\n /// assert iter.next() == ?-2_147_483_646;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"Int8.mo":{"content":"/// Utility functions on 8-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int8 \"mo:core/Int8\";\n/// ```\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 8-bit signed integers.\n public type Int8 = Prim.Types.Int8;\n\n /// Minimum 8-bit integer value, `-2 ** 7`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.minValue == -128;\n /// ```\n public let minValue : Int8 = -128;\n\n /// Maximum 8-bit integer value, `+2 ** 7 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.maxValue == +127;\n /// ```\n public let maxValue : Int8 = 127;\n\n /// Converts an 8-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt(123) == (123 : Int);\n /// ```\n public let toInt : (self : Int8) -> Int = Prim.int8ToInt;\n\n /// Converts a signed integer with infinite precision to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt(123) == (+123 : Int8);\n /// ```\n public let fromInt : Int -> Int8 = Prim.intToInt8;\n\n /// Converts a signed integer with infinite precision to an 8-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromIntWrap(-123) == (-123 : Int8);\n /// ```\n public let fromIntWrap : Int -> Int8 = Prim.intToInt8Wrap;\n\n /// Converts a 16-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt16(123) == (+123 : Int8);\n /// ```\n public let fromInt16 : Int16 -> Int8 = Prim.int16ToInt8;\n\n /// Converts an 8-bit signed integer to a 16-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt16(123) == (+123 : Int16);\n /// ```\n public let toInt16 : (self : Int8) -> Int16 = Prim.int8ToInt16;\n\n /// Converts a 32-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt32(123) == (+123 : Int8);\n /// ```\n public func fromInt32(x : Int32) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(x))\n };\n\n /// Converts an 8-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt32(123) == (+123 : Int32);\n /// ```\n public func toInt32(self : Int8) : Int32 {\n Prim.int16ToInt32(Prim.int8ToInt16(self))\n };\n\n /// Converts a 64-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt64(123) == (+123 : Int8);\n /// ```\n public func fromInt64(x : Int64) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(Prim.int64ToInt32(x)))\n };\n\n /// Converts an 8-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt64(123) == (+123 : Int64);\n /// ```\n public func toInt64(self : Int8) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(Prim.int8ToInt16(self)))\n };\n\n /// Converts an unsigned 8-bit integer to a signed 8-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromNat8(123) == (+123 : Int8);\n /// ```\n public let fromNat8 : Nat8 -> Int8 = Prim.nat8ToInt8;\n\n /// Converts a signed 8-bit integer to an unsigned 8-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toNat8(-1) == (255 : Nat8); // underflow\n /// ```\n public let toNat8 : (self : Int8) -> Nat8 = Prim.int8ToNat8;\n\n /// Converts an integer number to its textual representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toText(-123) == \"-123\";\n /// ```\n public func toText(self : Int8) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 7` (the minimum `Int8` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.abs(-123) == +123;\n /// ```\n public func abs(x : Int8) : Int8 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.min(+2, -3) == -3;\n /// ```\n public func min(x : Int8, y : Int8) : Int8 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.max(+2, -3) == +2;\n /// ```\n public func max(x : Int8, y : Int8) : Int8 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int8 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int8 = -123;\n /// let b : Int8 = 123;\n /// assert not Int8.equal(a, b);\n /// ```\n public func equal(x : Int8, y : Int8) : Bool { x == y };\n\n /// Inequality function for Int8 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int8, y : Int8) : Bool { x != y };\n\n /// \"Less than\" function for Int8 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int8, y : Int8) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int8 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int8, y : Int8) : Bool { x <= y };\n\n /// \"Greater than\" function for Int8 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.greater(-2, -3);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int8, y : Int8) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int8 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.greaterOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int8, y : Int8) : Bool { x >= y };\n\n /// General-purpose comparison function for `Int8`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int8], Int8.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int8, y : Int8) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 7)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int8) : Int8 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.add(100, 23) == +123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int8.add) == -4;\n /// ```\n public func add(x : Int8, y : Int8) : Int8 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.sub(123, 23) == +100;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int8.sub) == 4;\n /// ```\n public func sub(x : Int8, y : Int8) : Int8 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.mul(12, 10) == +120;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int8.mul) == 6;\n /// ```\n public func mul(x : Int8, y : Int8) : Int8 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int8, y : Int8) : Int8 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int8, y : Int8) : Int8 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 8`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.pow(2, 6) == +64;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int8, y : Int8) : Int8 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitnot(-16 /* 0xf0 */) == +15 // 0x0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int8) : Int8 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitand(0x1f, 0x70) == +16 // 0x10;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int8, y : Int8) : Int8 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitor(0x0f, 0x70) == +127 // 0x7f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int8, y : Int8) : Int8 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitxor(0x70, 0x7f) == +15 // 0x0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int8, y : Int8) : Int8 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 8`, the semantics is the same as for `bitshiftLeft(x, y % 8)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitshiftLeft(1, 4) == +16 // 0x10 equivalent to `2 ** 4`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int8, y : Int8) : Int8 { x << y };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 8`, the semantics is the same as for `bitshiftRight(x, y % 8)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitshiftRight(64, 4) == +4 // equivalent to `64 / (2 ** 4)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int8, y : Int8) : Int8 { x >> y };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 8`, the semantics is the same as for `bitrotLeft(x, y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitrotLeft(0x11 /* 0b0001_0001 */, 2) == +68 // 0b0100_0100 == 0x44.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int8, y : Int8) : Int8 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 8`, the semantics is the same as for `bitrotRight(x, y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitrotRight(0x11 /* 0b0001_0001 */, 1) == -120 // 0b1000_1000 == 0x88.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int8, y : Int8) : Int8 { x <>> y };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 8`, the semantics is the same as for `bittest(x, p % 8)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bittest(64, 6);\n /// ```\n public func bittest(x : Int8, p : Nat) : Bool {\n Prim.btstInt8(x, Prim.intToInt8(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 8`, the semantics is the same as for `bitset(x, p % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitset(0, 6) == +64;\n /// ```\n public func bitset(x : Int8, p : Nat) : Int8 {\n x | (1 << Prim.intToInt8(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 8`, the semantics is the same as for `bitclear(x, p % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitclear(-1, 6) == -65;\n /// ```\n public func bitclear(x : Int8, p : Nat) : Int8 {\n x & ^(1 << Prim.intToInt8(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 8`, the semantics is the same as for `bitclear(x, p % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitflip(127, 6) == +63;\n /// ```\n public func bitflip(x : Int8, p : Nat) : Int8 {\n x ^ (1 << Prim.intToInt8(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitcountNonZero(0x0f) == +4;\n /// ```\n public let bitcountNonZero : (x : Int8) -> Int8 = Prim.popcntInt8;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitcountLeadingZero(0x08) == +4;\n /// ```\n public let bitcountLeadingZero : (x : Int8) -> Int8 = Prim.clzInt8;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitcountTrailingZero(0x10) == +4;\n /// ```\n public let bitcountTrailingZero : (x : Int8) -> Int8 = Prim.ctzInt8;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.addWrap(2 ** 6, 2 ** 6) == -128; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int8, y : Int8) : Int8 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.subWrap(-2 ** 7, 1) == +127; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int8, y : Int8) : Int8 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.mulWrap(2 ** 4, 2 ** 4) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int8, y : Int8) : Int8 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 8`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.powWrap(2, 7) == -128; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int8, y : Int8) : Int8 { x **% y };\n\n /// Returns an iterator over `Int8` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int8, toExclusive : Int8) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int8 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int8` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int8, to : Int8) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int8 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int8 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.allValues();\n /// assert iter.next() == ?-128;\n /// assert iter.next() == ?-127;\n /// assert iter.next() == ?-126;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"Timer.mo":{"content":"/// Timers for one-off or periodic tasks. Applicable as part of the default mechanism.\n/// If `moc` is invoked with `-no-timer`, the importing will fail. Furthermore, if passed `--trap-on-call-error`, a congested canister send queue may prevent timer expirations to execute at runtime. It may also deactivate the global timer.\n///\n/// ```motoko name=import\n/// import Timer \"mo:core/Timer\";\n/// ```\n///\n/// The resolution of the timers is similar to the block rate,\n/// so durations should be chosen well above that. For frequent\n/// canister wake-ups, consider using the [heartbeat](https://internetcomputer.org/docs/motoko/icp-features/system-functions#heartbeat) mechanism; however, when possible, canisters should prefer timers.\n///\n/// The functionality described below is enabled only when the actor does not override it by declaring an explicit `system func timer`.\n///\n/// Timers are _not_ persisted across upgrades. One possible strategy\n/// to re-establish timers after an upgrade is to use stable variables\n/// in the `post_upgrade` hook and distill necessary timer information\n/// from there.\n///\n/// Using timers for security (e.g., access control) is strongly discouraged.\n/// Make sure to inform yourself about state-of-the-art dapp security.\n/// If you must use timers for security controls, be sure\n/// to consider reentrancy issues as well as the vanishing of timers on upgrades\n/// and reinstalls.\n///\n/// For further usage information for timers on the IC, please consult\n/// [the documentation](https://internetcomputer.org/docs/building-apps/network-features/periodic-tasks-timers#timers-library-limitations).\nimport { setTimer = setTimerNano; cancelTimer = cancel } = \"mo:⛔\";\nimport Nat64 = \"Nat64\";\nimport Time \"Time\";\n\nmodule {\n\n public type TimerId = Nat;\n\n /// Installs a one-off timer that upon expiration after given duration `d`\n /// executes the future `job()`.\n ///\n /// ```motoko include=import no-repl\n /// import Int \"mo:core/Int\";\n ///\n /// func runIn30Minutes() : async () {\n /// // ...\n /// };\n /// let timerId = Timer.setTimer(#minutes 30, runIn30Minutes);\n /// ```\n public func setTimer(duration : Time.Duration, job : () -> async ()) : TimerId {\n setTimerNano(Nat64.fromNat(Time.toNanoseconds duration), false, job)\n };\n\n /// Installs a recurring timer that upon expiration after given duration `d`\n /// executes the future `job()` and reinserts itself for another expiration.\n ///\n /// Note: A duration of 0 will only expire once.\n ///\n /// ```motoko include=import no-repl\n /// func runEvery30Minutes() : async () {\n /// // ...\n /// };\n /// let timerId = Timer.recurringTimer(#minutes 30, runEvery30Minutes);\n /// ```\n public func recurringTimer(duration : Time.Duration, job : () -> async ()) : TimerId {\n setTimerNano(Nat64.fromNat(Time.toNanoseconds duration), true, job)\n };\n\n /// Cancels a still active timer with `(id : TimerId)`. For expired timers\n /// and not recognised `id`s nothing happens.\n ///\n /// ```motoko include=import no-repl\n /// var counter = 0;\n /// var timerId : ?Timer.TimerId = null;\n /// func runFiveTimes() : async () {\n /// counter += 1;\n /// if (counter == 5) {\n /// switch (timerId) {\n /// case (?id) { Timer.cancelTimer(id) };\n /// case null { assert false /* timer already cancelled */ };\n /// };\n /// }\n /// };\n /// timerId := ?Timer.recurringTimer(#minutes 30, runFiveTimes);\n /// ```\n public let cancelTimer : TimerId -> () = cancel;\n\n}\n"},"Result.mo":{"content":"/// Module for error handling with the Result type.\n///\n/// The Result type is used for returning and propagating errors. It has two variants:\n/// `#ok(Ok)`, representing success and containing a value, and `#err(Err)`, representing\n/// error and containing an error value.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Result \"mo:core/Result\";\n/// ```\n\nimport Order \"Order\";\nimport Types \"Types\";\n\nmodule {\n\n /// The Result type used for returning and propagating errors.\n ///\n /// The simplest way of working with Results is to pattern match on them.\n /// For example:\n /// ```motoko include=import\n /// import Text \"mo:core/Text\";\n ///\n /// type Email = Text;\n /// type ErrorMessage = Text;\n ///\n /// func validateEmail(email : Text) : Result.Result {\n /// let parts = Text.split(email, #char '@');\n /// let beforeAt = parts.next();\n /// let afterAt = parts.next();\n /// switch (beforeAt, afterAt) {\n /// case (?local, ?domain) {\n /// if (local == \"\") return #err(\"Username cannot be empty\");\n /// if (not Text.contains(domain, #char '.')) return #err(\"Invalid domain format\");\n /// #ok(email)\n /// };\n /// case _ #err(\"Email must contain exactly one @ symbol\")\n /// }\n /// };\n ///\n /// assert validateEmail(\"user@example.com\") == #ok(\"user@example.com\");\n /// assert validateEmail(\"invalid.email\") == #err(\"Email must contain exactly one @ symbol\");\n /// assert validateEmail(\"@domain.com\") == #err(\"Username cannot be empty\");\n /// assert validateEmail(\"user@invalid\") == #err(\"Invalid domain format\");\n /// ```\n /// @deprecated M0235\n public type Result = Types.Result;\n\n /// Compares two Results for equality.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let result1 = #ok 10;\n /// let result2 = #ok 10;\n /// let result3 = #err \"error\";\n ///\n /// assert Result.equal(result1, result2, Nat.equal, Text.equal);\n /// assert not Result.equal(result1, result3, Nat.equal, Text.equal);\n /// ```\n public func equal(\n self : Result,\n other : Result,\n equalOk : (implicit : (equal : Ok, Ok) -> Bool),\n equalErr : (implicit : (equal : (Err, Err) -> Bool))\n ) : Bool {\n switch (self, other) {\n case (#ok(ok1), #ok(ok2)) {\n equalOk(ok1, ok2)\n };\n case (#err(err1), #err(err2)) {\n equalErr(err1, err2)\n };\n case _ { false }\n }\n };\n\n /// Compares two Result values. `#ok` is larger than `#err`. This ordering is\n /// arbitrary, but it lets you for example use Results as keys in ordered maps.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let result1 = #ok 5;\n /// let result2 = #ok 10;\n /// let result3 = #err \"error\";\n ///\n /// assert Result.compare(result1, result2, Nat.compare, Text.compare) == #less;\n /// assert Result.compare(result2, result1, Nat.compare, Text.compare) == #greater;\n /// assert Result.compare(result1, result3, Nat.compare, Text.compare) == #greater;\n /// ```\n public func compare(\n self : Result,\n other : Result,\n compareOk : (implicit : (compare : (Ok, Ok) -> Order.Order)),\n compareErr : (implicit : (compare : (Err, Err) -> Order.Order))\n ) : Order.Order {\n switch (self, other) {\n case (#ok(ok1), #ok(ok2)) {\n compareOk(ok1, ok2)\n };\n case (#err(err1), #err(err2)) {\n compareErr(err1, err2)\n };\n case (#ok(_), _) { #greater };\n case (#err(_), _) { #less }\n }\n };\n\n /// Allows sequencing of Result values and functions that return\n /// Results themselves.\n /// ```motoko include=import\n /// type Result = Result.Result;\n /// func largerThan10(x : Nat) : Result =\n /// if (x > 10) { #ok(x) } else { #err(\"Not larger than 10.\") };\n ///\n /// func smallerThan20(x : Nat) : Result =\n /// if (x < 20) { #ok(x) } else { #err(\"Not smaller than 20.\") };\n ///\n /// func between10And20(x : Nat) : Result =\n /// Result.chain(largerThan10(x), smallerThan20);\n ///\n /// assert between10And20(15) == #ok(15);\n /// assert between10And20(9) == #err(\"Not larger than 10.\");\n /// assert between10And20(21) == #err(\"Not smaller than 20.\");\n /// ```\n public func chain(\n self : Result,\n f : Ok1 -> Result\n ) : Result {\n switch self {\n case (#err(e)) { #err(e) };\n case (#ok(r)) { f(r) }\n }\n };\n\n /// Flattens a nested Result.\n ///\n /// ```motoko include=import\n /// assert Result.flatten(#ok(#ok(10))) == #ok(10);\n /// assert Result.flatten(#err(\"Wrong\")) == #err(\"Wrong\");\n /// assert Result.flatten(#ok(#err(\"Wrong\"))) == #err(\"Wrong\");\n /// ```\n public func flatten(\n self : Result, Err>\n ) : Result {\n switch self {\n case (#ok(ok)) { ok };\n case (#err(err)) { #err(err) }\n }\n };\n\n /// Maps the `Ok` type/value, leaving any `Err` type/value unchanged.\n ///\n /// Example:\n /// ```motoko include=import\n /// let result1 = #ok(42);\n /// let result2 = #err(\"error\");\n ///\n /// let doubled1 = Result.mapOk(result1, func x = x * 2);\n /// assert doubled1 == #ok(84);\n ///\n /// let doubled2 = Result.mapOk(result2, func x = x * 2);\n /// assert doubled2 == #err(\"error\");\n /// ```\n public func mapOk(\n self : Result,\n f : Ok1 -> Ok2\n ) : Result {\n switch self {\n case (#err(e)) { #err(e) };\n case (#ok(r)) { #ok(f(r)) }\n }\n };\n\n /// Maps the `Err` type/value, leaving any `Ok` type/value unchanged.\n ///\n /// Example:\n /// ```motoko include=import\n /// let result1 = #ok(42);\n /// let result2 = #err(\"error\");\n ///\n /// let mapped1 = Result.mapErr(result1, func x = x # \"!\");\n /// assert mapped1 == #ok(42);\n ///\n /// let mapped2 = Result.mapErr(result2, func x = x # \"!\");\n /// assert mapped2 == #err(\"error!\");\n /// ```\n public func mapErr(\n self : Result,\n f : Err1 -> Err2\n ) : Result {\n switch self {\n case (#err(e)) { #err(f(e)) };\n case (#ok(r)) { #ok(r) }\n }\n };\n\n /// Create a result from an option, including an error value to handle the `null` case.\n /// ```motoko include=import\n /// assert Result.fromOption(?42, \"err\") == #ok(42);\n /// assert Result.fromOption(null, \"err\") == #err(\"err\");\n /// ```\n public func fromOption(x : ?Ok, err : Err) : Result {\n switch x {\n case (?x) { #ok(x) };\n case null { #err(err) }\n }\n };\n\n /// Create an option from a result, turning all #err into `null`.\n /// ```motoko include=import\n /// assert Result.toOption(#ok(42)) == ?42;\n /// assert Result.toOption(#err(\"err\")) == null;\n /// ```\n public func toOption(self : Result) : ?Ok {\n switch self {\n case (#ok(x)) { ?x };\n case (#err(_)) { null }\n }\n };\n\n /// Applies a function to a successful value and discards the result. Use\n /// `forOk` if you're only interested in the side effect `f` produces.\n ///\n /// ```motoko include=import\n /// var counter : Nat = 0;\n /// Result.forOk(#ok(5), func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// Result.forOk(#err(\"Error\"), func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// ```\n public func forOk(self : Result, f : Ok -> ()) {\n switch self {\n case (#ok(ok)) { f(ok) };\n case _ {}\n }\n };\n\n /// Applies a function to an error value and discards the result. Use\n /// `forErr` if you're only interested in the side effect `f` produces.\n ///\n /// ```motoko include=import\n /// var counter : Nat = 0;\n /// Result.forErr(#err(\"Error\"), func (x : Text) { counter += 1 });\n /// assert counter == 1;\n /// Result.forErr(#ok(5), func (x : Text) { counter += 1 });\n /// assert counter == 1;\n /// ```\n public func forErr(self : Result, f : Err -> ()) {\n switch self {\n case (#err(err)) { f(err) };\n case _ {}\n }\n };\n\n /// Whether this Result is an `#ok`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Result.isOk(#ok(42));\n /// assert not Result.isOk(#err(\"error\"));\n /// ```\n public func isOk(self : Result) : Bool {\n switch self {\n case (#ok(_)) { true };\n case (#err(_)) { false }\n }\n };\n\n /// Whether this Result is an `#err`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Result.isErr(#err(\"error\"));\n /// assert not Result.isErr(#ok(42));\n /// ```\n public func isErr(self : Result) : Bool {\n switch self {\n case (#ok(_)) { false };\n case (#err(_)) { true }\n }\n };\n\n /// Asserts that its argument is an `#ok` result, traps otherwise.\n ///\n /// Example:\n /// ```motoko include=import\n /// Result.assertOk(#ok(42)); // succeeds\n /// // Result.assertOk(#err(\"error\")); // would trap\n /// ```\n public func assertOk(self : Result) {\n switch self {\n case (#err(_)) { assert false };\n case (#ok(_)) {}\n }\n };\n\n /// Asserts that its argument is an `#err` result, traps otherwise.\n ///\n /// Example:\n /// ```motoko include=import\n /// Result.assertErr(#err(\"error\")); // succeeds\n /// // Result.assertErr(#ok(42)); // would trap\n /// ```\n public func assertErr(self : Result) {\n switch self {\n case (#err(_)) {};\n case (#ok(_)) assert false\n }\n };\n\n /// Converts an upper cased `#Ok`, `#Err` result type into a lowercased `#ok`, `#err` result type.\n /// On the IC, a common convention is to use `#Ok` and `#Err` as the variants of a result type,\n /// but in Motoko, we use `#ok` and `#err` instead.\n ///\n /// Example:\n /// ```motoko include=import\n /// let upper = #Ok(42);\n /// let lower = Result.fromUpper(upper);\n /// assert lower == #ok(42);\n /// ```\n public func fromUpper(\n result : { #Ok : Ok; #Err : Err }\n ) : Result {\n switch result {\n case (#Ok(ok)) { #ok(ok) };\n case (#Err(err)) { #err(err) }\n }\n };\n\n /// Converts a lower cased `#ok`, `#err` result type into an upper cased `#Ok`, `#Err` result type.\n /// On the IC, a common convention is to use `#Ok` and `#Err` as the variants of a result type,\n /// but in Motoko, we use `#ok` and `#err` instead.\n ///\n /// Example:\n /// ```motoko include=import\n /// let lower = #ok(42);\n /// let upper = Result.toUpper(lower);\n /// assert upper == #Ok(42);\n /// ```\n public func toUpper(\n self : Result\n ) : { #Ok : Ok; #Err : Err } {\n switch self {\n case (#ok(ok)) { #Ok(ok) };\n case (#err(err)) { #Err(err) }\n }\n };\n\n}\n"},"Time.mo":{"content":"/// System time utilities and timers.\n///\n/// The following example illustrates using the system time:\n///\n/// ```motoko\n/// import Int = \"mo:core/Int\";\n/// import Time = \"mo:core/Time\";\n///\n/// persistent actor {\n/// var lastTime = Time.now();\n///\n/// public func greet(name : Text) : async Text {\n/// let now = Time.now();\n/// let elapsedSeconds = (now - lastTime) / 1000_000_000;\n/// lastTime := now;\n/// return \"Hello, \" # name # \"!\" #\n/// \" I was last called \" # Int.toText(elapsedSeconds) # \" seconds ago\";\n/// };\n/// };\n/// ```\n///\n/// Note: If `moc` is invoked with `-no-timer`, the importing will fail.\n/// Note: The resolution of the timers is in the order of the block rate,\n/// so durations should be chosen well above that. For frequent\n/// canister wake-ups the heartbeat mechanism should be considered.\n\nimport Types \"Types\";\nimport Nat \"Nat\";\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// System time is represent as nanoseconds since 1970-01-01.\n public type Time = Types.Time;\n\n /// Quantity of time expressed in `#days`, `#hours`, `#minutes`, `#seconds`, `#milliseconds`, or `#nanoseconds`.\n public type Duration = Types.Duration;\n\n /// Current system time given as nanoseconds since 1970-01-01. The system guarantees that:\n ///\n /// * the time, as observed by the canister smart contract, is monotonically increasing, even across canister upgrades.\n /// * within an invocation of one entry point, the time is constant.\n ///\n /// The system times of different canisters are unrelated, and calls from one canister to another may appear to travel \"backwards in time\"\n ///\n /// Note: While an implementation will likely try to keep the system time close to the real time, this is not formally guaranteed.\n public func now() : Time = Prim.nat64ToNat(Prim.time());\n\n public type TimerId = Nat;\n\n public func toNanoseconds(duration : Duration) : Nat {\n switch duration {\n case (#days n) n * 86_400_000_000_000;\n case (#hours n) n * 3_600_000_000_000;\n case (#minutes n) n * 60_000_000_000;\n case (#seconds n) n * 1_000_000_000;\n case (#milliseconds n) n * 1_000_000;\n case (#nanoseconds n) n\n }\n };\n\n}\n"},"WeakReference.mo":{"content":"/// Module that implements a weak reference to an object.\n///\n/// ATTENTION: This functionality does not work with classical persistence (`--legacy-persistence` moc flag).\n///\n/// Usage example:\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import WeakReference \"mo:core/WeakReference\";\n/// ```\n\nimport Prim \"mo:⛔\"\n\nmodule {\n public type WeakReference = {\n ref : weak T\n };\n\n /// Allocate a new weak reference to the given object.\n ///\n /// The `obj` parameter is the object to allocate a weak reference for.\n /// Returns a new weak reference pointingto the given object.\n /// ```motoko include=import\n /// let obj = { x = 1 };\n /// let weakRef = WeakReference.allocate(obj);\n /// ```\n public func allocate(obj : T) : WeakReference {\n return { ref = Prim.allocWeakRef(obj) }\n };\n\n /// Get the value that the weak reference is pointing to.\n ///\n /// The `self` parameter is the weak reference pointing to the value the function returns.\n /// The function returns the value that the weak reference is pointing to,\n /// or `null` if the value has been collected by the garbage collector.\n /// ```motoko include=import\n /// let obj = { x = 1 };\n /// let weakRef = WeakReference.allocate(obj);\n /// let value = weakRef.get();\n /// ```\n public func get(self : WeakReference) : ?T {\n return Prim.weakGet(self.ref)\n };\n\n /// Check if the weak reference is still alive.\n ///\n /// The `self` parameter is the weak reference to check whether it is still alive.\n /// Returns `true` if the weak reference is still alive, `false` otherwise.\n /// False means that the value has been collected by the garbage collector.\n /// ```motoko include=import\n /// let obj = { x = 1 };\n /// let weakRef = WeakReference.allocate(obj);\n /// let isLive = weakRef.isLive();\n /// assert isLive == true;\n /// ```\n public func isLive(self : WeakReference) : Bool {\n return Prim.isLive(self.ref)\n };\n\n}\n"},"Types.mo":{"content":"/// Common types used throughout the core package.\n///\n/// Example usage:\n///\n/// ```motoko name=import\n/// import { type Result; type Iter } \"mo:core/Types\";\n///\n/// // Result for error handling\n/// let result : Result = #ok(42);\n///\n/// // Iterator for sequences\n/// let iter : Iter = { next = func() { ?1 } };\n/// ```\n\nimport Prim \"mo:⛔\";\n\nmodule {\n public type Blob = Prim.Types.Blob;\n public type Bool = Prim.Types.Bool;\n public type Char = Prim.Types.Char;\n public type Error = Prim.Types.Error;\n public type ErrorCode = Prim.ErrorCode;\n public type Float = Prim.Types.Float;\n public type Int = Prim.Types.Int;\n public type Int8 = Prim.Types.Int8;\n public type Int16 = Prim.Types.Int16;\n public type Int32 = Prim.Types.Int32;\n public type Int64 = Prim.Types.Int64;\n public type Nat = Prim.Types.Nat;\n public type Nat8 = Prim.Types.Nat8;\n public type Nat16 = Prim.Types.Nat16;\n public type Nat32 = Prim.Types.Nat32;\n public type Nat64 = Prim.Types.Nat64;\n public type Principal = Prim.Types.Principal;\n public type Region = Prim.Types.Region;\n public type Text = Prim.Types.Text;\n\n public type Hash = Nat32;\n public type Iter = { next : () -> ?T };\n public type Order = { #less; #equal; #greater };\n public type Result = { #ok : T; #err : E };\n public type Pattern = {\n #char : Char;\n #text : Text;\n #predicate : (Char -> Bool)\n };\n public type Time = Int;\n public type Duration = {\n #days : Nat;\n #hours : Nat;\n #minutes : Nat;\n #seconds : Nat;\n #milliseconds : Nat;\n #nanoseconds : Nat\n };\n public type TimerId = Nat;\n\n public type List = {\n var blocks : [var [var ?T]];\n var blockIndex : Nat;\n var elementIndex : Nat\n };\n\n public module Queue {\n public type Queue = {\n var front : ?Node;\n var back : ?Node;\n var size : Nat\n };\n\n public type Node = {\n value : T;\n var next : ?Node;\n var previous : ?Node\n }\n };\n public type Queue = Queue.Queue;\n\n public module PriorityQueue {\n public type PriorityQueue = {\n heap : List\n }\n };\n public type PriorityQueue = PriorityQueue.PriorityQueue;\n\n public module Set {\n public type Node = {\n #leaf : Leaf;\n #internal : Internal\n };\n\n public type Data = {\n elements : [var ?T];\n var count : Nat\n };\n\n public type Internal = {\n data : Data;\n children : [var ?Node]\n };\n\n public type Leaf = {\n data : Data\n };\n\n public type Set = {\n var root : Node;\n var size : Nat\n }\n };\n public type Set = Set.Set;\n\n public module Map {\n public type Node = {\n #leaf : Leaf;\n #internal : Internal\n };\n\n public type Data = {\n kvs : [var ?(K, V)];\n var count : Nat\n };\n\n public type Internal = {\n data : Data;\n children : [var ?Node]\n };\n\n public type Leaf = {\n data : Data\n };\n\n public type Map = {\n var root : Node;\n var size : Nat\n }\n };\n\n public type Map = Map.Map;\n\n public module Stack {\n public type Stack = {\n var top : Pure.List;\n var size : Nat\n }\n };\n public type Stack = Stack.Stack;\n\n public module Pure {\n public type List = ?(T, List);\n\n public module Map {\n public type Map = {\n size : Nat;\n root : Tree\n };\n public type Tree = {\n #red : (Tree, K, V, Tree);\n #black : (Tree, K, V, Tree);\n #leaf\n };\n\n };\n public type Map = Map.Map;\n\n public type Queue = (List, Nat, List);\n\n public module Set {\n public type Tree = {\n #red : (Tree, T, Tree);\n #black : (Tree, T, Tree);\n #leaf\n };\n\n public type Set = { size : Nat; root : Tree }\n };\n\n public type Set = Set.Set;\n\n }\n}\n"},"Queue.mo":{"content":"/// A mutable double-ended queue of elements.\n/// The queue has two ends, front and back.\n/// Elements can be added and removed at the two ends.\n///\n/// This can be used for different use cases, such as:\n/// * Queue (FIFO) by using `pushBack()` and `popFront()`\n/// * Stack (LIFO) by using `pushFront()` and `popFront()`.\n///\n/// Example:\n/// ```motoko\n/// import Queue \"mo:core/Queue\";\n///\n/// persistent actor {\n/// let orders = Queue.empty();\n/// Queue.pushBack(orders, \"Motoko\");\n/// Queue.pushBack(orders, \"Mops\");\n/// Queue.pushBack(orders, \"IC\");\n/// assert Queue.popFront(orders) == ?\"Motoko\";\n/// assert Queue.popFront(orders) == ?\"Mops\";\n/// assert Queue.popFront(orders) == ?\"IC\";\n/// assert Queue.popFront(orders) == null;\n/// }\n/// ```\n///\n/// The internal implementation is a doubly-linked list.\n///\n/// Performance:\n/// * Runtime: `O(1)` for push, pop, and peek operations.\n/// * Space: `O(n)`.\n/// `n` denotes the number of elements stored in the queue.\n\nimport PureQueue \"pure/Queue\";\nimport Iter \"Iter\";\nimport Order \"Order\";\nimport Types \"Types\";\nimport Array \"Array\";\nimport Prim \"mo:⛔\";\n\nmodule {\n public type Queue = Types.Queue.Queue;\n\n type Node = Types.Queue.Node;\n\n /// Converts a mutable queue to an immutable, purely functional queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let pureQueue = Queue.toPure(queue);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n /// @deprecated M0235\n public func toPure(self : Queue) : PureQueue.Queue {\n let pureQueue = PureQueue.empty();\n let iter = values(self);\n var current = pureQueue;\n loop {\n switch (iter.next()) {\n case null { return current };\n case (?val) { current := PureQueue.pushBack(current, val) }\n }\n }\n };\n\n /// Converts an immutable, purely functional queue to a mutable queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import PureQueue \"mo:core/pure/Queue\";\n ///\n /// persistent actor {\n /// let pureQueue = PureQueue.fromIter([1, 2, 3].values());\n /// let queue = Queue.fromPure(pureQueue);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n /// @deprecated M0235\n public func fromPure(pureQueue : PureQueue.Queue) : Queue {\n let queue = empty();\n let iter = PureQueue.values(pureQueue);\n loop {\n switch (iter.next()) {\n case null { return queue };\n case (?val) { pushBack(queue, val) }\n }\n }\n };\n\n /// Create a new empty mutable double-ended queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.size(queue) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Queue {\n { var front = null; var back = null; var size = 0 }\n };\n\n /// Creates a new queue with a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.singleton(123);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func singleton(element : T) : Queue {\n let queue = empty();\n pushBack(queue, element);\n queue\n };\n\n /// Removes all elements from the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// Queue.clear(queue);\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func clear(self : Queue) {\n self.front := null;\n self.back := null;\n self.size := 0\n };\n\n /// Creates a deep copy of the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let original = Queue.fromIter([1, 2, 3].values());\n /// let copy = Queue.clone(original);\n /// Queue.clear(original);\n /// assert Queue.size(original) == 0;\n /// assert Queue.size(copy) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func clone(self : Queue) : Queue {\n let copy = empty();\n for (element in values(self)) {\n pushBack(copy, element)\n };\n copy\n };\n\n /// Returns the number of elements in the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// assert Queue.size(queue) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func size(self : Queue) : Nat {\n self.size\n };\n\n /// Returns `true` if the queue contains no elements.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func isEmpty(self : Queue) : Bool {\n self.size == 0\n };\n\n /// Checks if an element exists in the queue using the provided equality function.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.contains(queue, Nat.equal, 2);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func contains(self : Queue, equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (existing in values(self)) {\n if (equal(existing, element)) {\n return true\n }\n };\n false\n };\n\n /// Returns the first element in the queue without removing it.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func peekFront(self : Queue) : ?T {\n switch (self.front) {\n case null null;\n case (?node) ?node.value\n }\n };\n\n /// Returns the last element in the queue without removing it.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.peekBack(queue) == ?3;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func peekBack(self : Queue) : ?T {\n switch (self.back) {\n case null null;\n case (?node) ?node.value\n }\n };\n\n /// Adds an element to the front of the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// Queue.pushFront(queue, 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func pushFront(self : Queue, element : T) {\n let node : Node = {\n value = element;\n var next = self.front;\n var previous = null\n };\n switch (self.front) {\n case null {};\n case (?first) first.previous := ?node\n };\n self.front := ?node;\n switch (self.back) {\n case null self.back := ?node;\n case (?_) {}\n };\n self.size += 1\n };\n\n /// Adds an element to the back of the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// Queue.pushBack(queue, 1);\n /// assert Queue.peekBack(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func pushBack(self : Queue, element : T) {\n let node : Node = {\n value = element;\n var next = null;\n var previous = self.back\n };\n switch (self.back) {\n case null {};\n case (?last) last.next := ?node\n };\n self.back := ?node;\n switch (self.front) {\n case null self.front := ?node;\n case (?_) {}\n };\n self.size += 1\n };\n\n /// Removes and returns the first element in the queue.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.popFront(queue) == ?1;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func popFront(self : Queue) : ?T {\n switch (self.front) {\n case null null;\n case (?first) {\n self.front := first.next;\n switch (self.front) {\n case null { self.back := null };\n case (?newFirst) { newFirst.previous := null }\n };\n self.size -= 1;\n ?first.value\n }\n }\n };\n\n /// Removes and returns the last element in the queue.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.popBack(queue) == ?3;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func popBack(self : Queue) : ?T {\n switch (self.back) {\n case null null;\n case (?last) {\n self.back := last.previous;\n switch (self.back) {\n case null { self.front := null };\n case (?newLast) { newLast.next := null }\n };\n self.size -= 1;\n ?last.value\n }\n }\n };\n\n /// Creates a new queue from an iterator.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// assert Queue.size(queue) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func fromIter(iter : Iter.Iter) : Queue {\n let queue = empty();\n for (element in iter) {\n pushBack(queue, element)\n };\n queue\n };\n\n /// Converts an iterator to a queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// transient let iter = [\"A\", \"B\", \"C\"].values();\n ///\n /// let queue = iter.toQueue();\n ///\n /// assert Queue.size(queue) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func toQueue(self : Iter.Iter) : Queue {\n fromIter(self)\n };\n\n /// Creates a new queue from an array.\n /// Elements appear in the same order as in the array.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// assert Queue.size(queue) == 3;\n /// assert Queue.peekFront(queue) == ?\"A\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the array.\n public func fromArray(array : [T]) : Queue {\n let queue = empty();\n for (element in array.vals()) {\n pushBack(queue, element)\n };\n queue\n };\n\n public func fromVarArray(array : [var T]) : Queue {\n fromIter(array.values())\n };\n\n /// Creates a new immutable array containing all elements from the queue.\n /// Elements appear in the same order as in the queue (front to back).\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Array \"mo:core/Array\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// let array = Queue.toArray(queue);\n /// assert array == [\"A\", \"B\", \"C\"];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func toArray(self : Queue) : [T] {\n let iter = values(self);\n Array.tabulate(\n self.size,\n func(i) {\n switch (iter.next()) {\n case null { Prim.trap(\"Queue.toArray(): unexpected end of iterator\") };\n case (?value) { value }\n }\n }\n )\n };\n\n public func toVarArray(self : Queue) : [var T] {\n Array.toVarArray(toArray(self))\n };\n\n /// Returns an iterator over the elements in the queue.\n /// Iterates from front to back.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// persistent actor {\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// transient let iter = Queue.values(queue);\n /// assert iter.next() == ?\"A\";\n /// assert iter.next() == ?\"B\";\n /// assert iter.next() == ?\"C\";\n /// assert iter.next() == null;\n /// }\n /// ```\n ///\n /// Runtime: O(1) for iterator creation, O(n) for full iteration\n /// Space: O(1)\n public func values(self : Queue) : Iter.Iter {\n object {\n var current = self.front;\n\n public func next() : ?T {\n switch (current) {\n case null null;\n case (?node) {\n current := node.next;\n ?node.value\n }\n }\n }\n }\n };\n\n public func reverseValues(self : Queue) : Iter.Iter {\n Iter.reverse(values(self))\n };\n\n /// Tests whether all elements in the queue satisfy the given predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([2, 4, 6].values());\n /// assert Queue.all(queue, func(x) { x % 2 == 0 });\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n public func all(self : Queue, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Tests whether any element in the queue satisfies the given predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.any(queue, func (x) { x > 2 });\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func any(self : Queue, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Applies the given operation to all elements in the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// var sum = 0;\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// Queue.forEach(queue, func(x) { sum += x });\n /// assert sum == 6;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func forEach(self : Queue, operation : T -> ()) {\n for (element in values(self)) {\n operation(element)\n }\n };\n\n /// Creates a new queue by applying the given function to all elements.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let doubled = Queue.map(queue, func(x) { x * 2 });\n /// assert Queue.peekFront(doubled) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func map(self : Queue, project : T -> U) : Queue {\n let result = empty();\n for (element in values(self)) {\n pushBack(result, project(element))\n };\n result\n };\n\n /// Creates a new queue containing only elements that satisfy the given predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let evens = Queue.filter(queue, func(x) { x % 2 == 0 });\n /// assert Queue.size(evens) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func filter(self : Queue, criterion : T -> Bool) : Queue {\n let result = empty();\n for (element in values(self)) {\n if (criterion(element)) {\n pushBack(result, element)\n }\n };\n result\n };\n\n /// Creates a new queue by applying the given function to all elements\n /// and keeping only the non-null results.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let evenDoubled = Queue.filterMap(\n /// queue,\n /// func(x) {\n /// if (x % 2 == 0) { ?(x * 2) } else { null }\n /// }\n /// );\n /// assert Queue.size(evenDoubled) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func filterMap(self : Queue, project : T -> ?U) : Queue {\n let result = empty();\n for (element in values(self)) {\n switch (project(element)) {\n case null {};\n case (?newElement) pushBack(result, newElement)\n }\n };\n result\n };\n\n /// Compares two queues for equality using the provided equality function.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2, 3].values());\n /// let queue2 = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.equal(queue1, queue2, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func equal(self : Queue, other : Queue, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n let element1 = iterator1.next();\n let element2 = iterator2.next();\n switch (element1, element2) {\n case (null, null) {\n return true\n };\n case (?element1, ?element2) {\n if (not equal(element1, element2)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Converts a queue to its string representation using the provided element formatter.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.toText(queue, Nat.toText) == \"Queue[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func toText(self : Queue, format : (implicit : (toText : T -> Text))) : Text {\n var text = \"Queue[\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # format(element);\n sep := \", \"\n };\n text #= \"]\";\n text\n };\n\n /// Compares two queues using the provided comparison function.\n /// Returns #less, #equal, or #greater.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2].values());\n /// let queue2 = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.compare(queue1, queue2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func compare(self : Queue, other : Queue, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n }\n}\n"},"Random.mo":{"content":"/// Random number generation.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Random \"mo:core/Random\";\n/// ```\n\nimport Nat8 \"Nat8\";\nimport Nat64 \"Nat64\";\nimport Int \"Int\";\nimport Nat \"Nat\";\nimport Blob \"Blob\";\nimport Runtime \"Runtime\";\n\nmodule {\n\n public type State = {\n var bytes : [Nat8];\n var index : Nat;\n var bits : Nat8;\n var bitMask : Nat8\n };\n\n public type SeedState = {\n random : State;\n prng : PRNG.State\n };\n\n let rawRand = (actor \"aaaaa-aa\" : actor { raw_rand : () -> async Blob }).raw_rand;\n\n public let blob : shared () -> async Blob = rawRand;\n\n public func bool() : async Bool {\n await* crypto().bool()\n };\n public func nat8() : async Nat8 {\n await* crypto().nat8()\n };\n public func nat64() : async Nat64 {\n await* crypto().nat64()\n };\n public func nat64Range(fromInclusive : Nat64, toExclusive : Nat64) : async Nat64 {\n await* crypto().nat64Range(fromInclusive, toExclusive)\n };\n public func natRange(fromInclusive : Nat, toExclusive : Nat) : async Nat {\n await* crypto().natRange(fromInclusive, toExclusive)\n };\n public func intRange(fromInclusive : Int, toExclusive : Int) : async Int {\n await* crypto().intRange(fromInclusive, toExclusive)\n };\n\n /// Initializes a random number generator state. This is used\n /// to create a `Random` or `AsyncRandom` instance with a specific state.\n /// The state is empty, but it can be reused after upgrading the canister.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.emptyState();\n /// transient let random = Random.cryptoFromState(state);\n ///\n /// public func main() : async () {\n /// let coin = await* random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func emptyState() : State = {\n var bytes = [];\n var index = 0;\n var bits = 0x00;\n var bitMask = 0x00\n };\n\n /// Initializes a pseudo-random number generator state with a 64-bit seed.\n /// This is used to create a `Random` instance with a specific seed.\n /// The seed is used to initialize the PRNG state.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.seedState(123);\n /// transient let random = Random.seedFromState(state);\n ///\n /// public func main() : async () {\n /// let coin = random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func seedState(seed : Nat64) : SeedState = {\n random = emptyState();\n prng = PRNG.init(seed)\n };\n\n /// Creates a pseudo-random number generator from a 64-bit seed.\n /// The seed is used to initialize the PRNG state.\n /// This is suitable for simulations and testing, but not for cryptographic purposes.\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(123);\n /// let coin = random.bool(); // true or false\n /// ```\n /// @deprecated M0235\n public func seed(seed : Nat64) : Random {\n seedFromState(seedState(seed))\n };\n\n /// Creates a pseudo-random number generator with the given state.\n /// This provides statistical randomness suitable for simulations and testing,\n /// but should not be used for cryptographic purposes.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.seedState(123);\n /// transient let random = Random.seedFromState(state);\n ///\n /// public func main() : async () {\n /// let coin = random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func seedFromState(state : SeedState) : Random {\n Random(\n state.random,\n func() : Blob {\n // Generate 8 bytes directly from a single 64-bit number\n let n = PRNG.next(state.prng);\n let (b7, b6, b5, b4, b3, b2, b1, b0) = Nat64.explode(n);\n Blob.fromArray([b0, b1, b2, b3, b4, b5, b6, b7])\n }\n )\n };\n\n /// Initializes a cryptographic random number generator\n /// using entropy from the ICP management canister.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// transient let random = Random.crypto();\n ///\n /// public func main() : async () {\n /// let coin = await* random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func crypto() : AsyncRandom {\n cryptoFromState(emptyState())\n };\n\n /// Creates a random number generator suitable for cryptography\n /// using entropy from the ICP management canister. Initializing\n /// from a state makes it possible to reuse entropy after\n /// upgrading the canister.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.emptyState();\n /// transient let random = Random.cryptoFromState(state);\n ///\n /// func example() : async () {\n /// let coin = await* random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func cryptoFromState(state : State) : AsyncRandom {\n AsyncRandom(state, func() : async* Blob { await rawRand() })\n };\n\n /// @deprecated M0235\n public class Random(state : State, generator : () -> Blob) {\n\n func nextBit() : Bool {\n if (0 : Nat8 == state.bitMask) {\n state.bits := nat8();\n state.bitMask := 0x40;\n 0 : Nat8 != state.bits & (0x80 : Nat8)\n } else {\n let m = state.bitMask;\n state.bitMask >>= (1 : Nat8);\n 0 : Nat8 != state.bits & m\n }\n };\n\n /// Random choice between `true` and `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let coin = random.bool(); // true or false\n /// ```\n /// @deprecated M0235\n public func bool() : Bool {\n nextBit()\n };\n\n /// Random `Nat8` value in the range [0, 256).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let byte = random.nat8(); // 0 to 255\n /// ```\n /// @deprecated M0235\n public func nat8() : Nat8 {\n if (state.index >= state.bytes.size()) {\n let newBytes = Blob.toArray(generator());\n if (newBytes.size() == 0) {\n Runtime.trap(\"Random: generator produced empty Blob\")\n };\n state.bytes := newBytes;\n state.index := 0\n };\n let byte = state.bytes[state.index];\n state.index += 1;\n byte\n };\n\n // Helper function which returns a uniformly sampled `Nat64` in the range `[0, max]`.\n // Uses rejection sampling to ensure uniform distribution even when the range\n // doesn't divide evenly into 2^64. This avoids modulo bias that would occur\n // from simply taking the modulo of a random 64-bit number.\n func uniform64(max : Nat64) : Nat64 {\n if (max == 0) {\n return 0\n };\n // if (max == 1) {\n // return switch (bool()) {\n // case false 0;\n // case true 1\n // }\n // };\n if (max == Nat64.maxValue) {\n return nat64()\n };\n let toExclusive = max + 1;\n // 2^64 - (2^64 % toExclusive) = (2^64-1) - (2^64-1 % toExclusive):\n let cutoff = Nat64.maxValue - (Nat64.maxValue % toExclusive);\n // 2^64 / toExclusive, with toExclusive > 1:\n let multiple = Nat64.fromNat(/* 2^64 */ 0x10000000000000000 / Nat64.toNat(toExclusive));\n loop {\n // Build up a random Nat64 from bytes\n var number = nat64();\n // If number is below cutoff, we can use it\n if (number < cutoff) {\n // Scale down to desired range\n return number / multiple\n };\n // Otherwise reject and try again\n }\n };\n\n /// Random `Nat64` value in the range [0, 2^64).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let number = random.nat64(); // 0 to 18446744073709551615\n /// ```\n /// @deprecated M0235\n public func nat64() : Nat64 {\n (Nat64.fromNat(Nat8.toNat(nat8())) << 56) | (Nat64.fromNat(Nat8.toNat(nat8())) << 48) | (Nat64.fromNat(Nat8.toNat(nat8())) << 40) | (Nat64.fromNat(Nat8.toNat(nat8())) << 32) | (Nat64.fromNat(Nat8.toNat(nat8())) << 24) | (Nat64.fromNat(Nat8.toNat(nat8())) << 16) | (Nat64.fromNat(Nat8.toNat(nat8())) << 8) | Nat64.fromNat(Nat8.toNat(nat8()))\n };\n\n /// Random `Nat64` value in the range [fromInclusive, toExclusive).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let dice = random.nat64Range(1, 7); // 1 to 6\n /// ```\n /// @deprecated M0235\n public func nat64Range(fromInclusive : Nat64, toExclusive : Nat64) : Nat64 {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"Random.nat64Range(): fromInclusive >= toExclusive\")\n };\n uniform64(toExclusive - fromInclusive - 1) + fromInclusive\n };\n\n /// Random `Nat` value in the range [fromInclusive, toExclusive).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let index = random.natRange(0, 10); // 0 to 9\n /// ```\n /// @deprecated M0235\n public func natRange(fromInclusive : Nat, toExclusive : Nat) : Nat {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"Random.natRange(): fromInclusive >= toExclusive\")\n };\n Nat64.toNat(uniform64(Nat64.fromNat(toExclusive - fromInclusive - 1))) + fromInclusive\n };\n\n /// @deprecated M0235\n public func intRange(fromInclusive : Int, toExclusive : Int) : Int {\n let range = Nat.fromInt(toExclusive - fromInclusive - 1);\n Nat64.toNat(uniform64(Nat64.fromNat(range))) + fromInclusive\n };\n\n };\n\n /// @deprecated M0235\n public class AsyncRandom(state : State, generator : () -> async* Blob) {\n\n func nextBit() : async* Bool {\n if (0 : Nat8 == state.bitMask) {\n state.bits := await* nat8();\n state.bitMask := 0x40;\n 0 : Nat8 != state.bits & (0x80 : Nat8)\n } else {\n let m = state.bitMask;\n state.bitMask >>= (1 : Nat8);\n 0 : Nat8 != state.bits & m\n }\n };\n\n /// Random choice between `true` and `false`.\n /// @deprecated M0235\n public func bool() : async* Bool {\n await* nextBit()\n };\n\n /// Random `Nat8` value in the range [0, 256).\n /// @deprecated M0235\n public func nat8() : async* Nat8 {\n if (state.index >= state.bytes.size()) {\n let newBytes = Blob.toArray(await* generator());\n if (newBytes.size() == 0) {\n Runtime.trap(\"AsyncRandom: generator produced empty Blob\")\n };\n state.bytes := newBytes;\n state.index := 0\n };\n let byte = state.bytes[state.index];\n state.index += 1;\n byte\n };\n\n // Helper function which returns a uniformly sampled `Nat64` in the range `[0, max]`.\n // Uses rejection sampling to ensure uniform distribution even when the range\n // doesn't divide evenly into 2^64. This avoids modulo bias that would occur\n // from simply taking the modulo of a random 64-bit number.\n func uniform64(max : Nat64) : async* Nat64 {\n if (max == 0) {\n return 0\n };\n if (max == Nat64.maxValue) {\n return await* nat64()\n };\n let toExclusive = max + 1;\n // 2^64 - (2^64 % toExclusive) = (2^64-1) - (2^64-1 % toExclusive):\n let cutoff = Nat64.maxValue - (Nat64.maxValue % toExclusive);\n // 2^64 / toExclusive, with toExclusive > 1:\n let multiple = Nat64.fromNat(/* 2^64 */ 0x10000000000000000 / Nat64.toNat(toExclusive));\n loop {\n // Build up a random Nat64 from bytes\n var number = await* nat64();\n // If number is below cutoff, we can use it\n if (number < cutoff) {\n // Scale down to desired range\n return number / multiple\n };\n // Otherwise reject and try again\n }\n };\n\n /// Random `Nat64` value in the range [0, 2^64).\n /// @deprecated M0235\n public func nat64() : async* Nat64 {\n (Nat64.fromNat(Nat8.toNat(await* nat8())) << 56) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 48) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 40) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 32) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 24) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 16) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 8) | Nat64.fromNat(Nat8.toNat(await* nat8()))\n };\n\n /// Random `Nat64` value in the range [fromInclusive, toExclusive).\n /// @deprecated M0235\n public func nat64Range(fromInclusive : Nat64, toExclusive : Nat64) : async* Nat64 {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"AsyncRandom.nat64Range(): fromInclusive >= toExclusive\")\n };\n (await* uniform64(toExclusive - fromInclusive - 1)) + fromInclusive\n };\n\n /// Random `Nat` value in the range [fromInclusive, toExclusive).\n /// @deprecated M0235\n public func natRange(fromInclusive : Nat, toExclusive : Nat) : async* Nat {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"AsyncRandom.natRange(): fromInclusive >= toExclusive\")\n };\n Nat64.toNat(await* uniform64(Nat64.fromNat(toExclusive - fromInclusive - 1))) + fromInclusive\n };\n\n /// Random `Int` value in the range [fromInclusive, toExclusive).\n /// @deprecated M0235\n public func intRange(fromInclusive : Int, toExclusive : Int) : async* Int {\n let range = Nat.fromInt(toExclusive - fromInclusive - 1);\n Nat64.toNat(await* uniform64(Nat64.fromNat(range))) + fromInclusive\n };\n\n };\n\n // Derived from https://github.com/research-ag/prng\n module PRNG {\n let p : Nat64 = 24;\n let q : Nat64 = 11;\n let r : Nat64 = 3;\n\n public type State = {\n var a : Nat64;\n var b : Nat64;\n var c : Nat64;\n var d : Nat64\n };\n\n public func init(seed : Nat64) : State {\n init3(seed, seed, seed)\n };\n\n public func init3(seed1 : Nat64, seed2 : Nat64, seed3 : Nat64) : State {\n let state : State = {\n var a = seed1;\n var b = seed2;\n var c = seed3;\n var d = 1\n };\n for (_ in Nat.range(0, 11)) ignore next(state);\n state\n };\n\n public func next(state : State) : Nat64 {\n let tmp = state.a +% state.b +% state.d;\n state.a := state.b ^ (state.b >> q);\n state.b := state.c +% (state.c << r);\n state.c := (state.c <<> p) +% tmp;\n state.d +%= 1;\n tmp\n }\n }\n\n}\n"},"Region.mo":{"content":"/// Byte-level access to isolated, virtual stable memory regions.\n///\n/// This is a moderately lightweight abstraction over IC _stable memory_ and supports persisting\n/// regions of binary data across Motoko upgrades.\n/// Use of this module is fully compatible with Motoko's use of\n/// _stable variables_, whose persistence mechanism also uses (real) IC stable memory internally, but does not interfere with this API.\n/// It is also fully compatible with existing uses of the `ExperimentalStableMemory` library, which has a similar interface, but,\n/// only supported a single memory region, without isolation between different applications.\n///\n/// The `Region` type is stable and can be used in stable data structures.\n///\n/// A new, empty `Region` is allocated using function `new()`.\n///\n/// Regions are stateful objects and can be distinguished by the numeric identifier returned by function `id(region)`.\n/// Every region owns an initially empty, but growable sequence of virtual IC stable memory pages.\n/// The current size, in pages, of a region is returned by function `size(region)`.\n/// The size of a region determines the range, [ 0, ..., size(region)*2^16 ), of valid byte-offsets into the region; these offsets are used as the source and destination of `load`/`store` operations on the region.\n///\n/// Memory is allocated to a region, using function `grow(region, pages)`, sequentially and on demand, in units of 64KiB logical pages, starting with 0 allocated pages.\n/// A call to `grow` may succeed, returning the previous size of the region, or fail, returning a sentinel value. New pages are zero initialized.\n///\n/// A size of a region can only grow and never shrink.\n/// In addition, the stable memory pages allocated to a region will *not* be reclaimed by garbage collection, even\n/// if the region object itself becomes unreachable.\n///\n/// Growth is capped by a soft limit on physical page count controlled by compile-time flag\n/// `--max-stable-pages ` (the default is 65536, or 4GiB).\n///\n/// Each `load` operation loads from region relative byte address `offset` in little-endian\n/// format using the natural bit-width of the type in question.\n/// The operation traps if attempting to read beyond the current region size.\n///\n/// Each `store` operation stores to region relative byte address `offset` in little-endian format using the natural bit-width of the type in question.\n/// The operation traps if attempting to write beyond the current region size.\n///\n/// Text values can be handled by using `Text.decodeUtf8` and `Text.encodeUtf8`, in conjunction with `loadBlob` and `storeBlob`.\n///\n/// The current region allocation and region contents are preserved across upgrades.\n///\n/// NB: The IC's actual stable memory size (`ic0.stable_size`) may exceed the\n/// total page size reported by summing all regions sizes.\n/// This (and the cap on growth) are to accommodate Motoko's stable variables and bookkeeping for regions.\n/// Applications that plan to use Motoko stable variables sparingly or not at all can\n/// increase `--max-stable-pages` as desired, approaching the IC maximum (initially 8GiB, then 32Gib, currently 64Gib).\n/// All applications should reserve at least one page for stable variable data, even when no stable variables are used.\n///\n/// Usage:\n/// ```motoko no-repl name=import\n/// import Region \"mo:core/Region\";\n/// ```\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// A stateful handle to an isolated region of IC stable memory.\n /// `Region` is a stable type and regions can be stored in stable variables.\n /// @deprecated M0235\n public type Region = Prim.Types.Region;\n\n /// Allocate a new, isolated Region of size 0.\n ///\n /// Example:\n ///\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// assert Region.size(region) == 0;\n /// }\n /// }\n /// ```\n public let new : () -> Region = Prim.regionNew;\n\n /// Return a Nat identifying the given region.\n /// May be used for equality, comparison and hashing.\n /// NB: Regions returned by `new()` are numbered from 16\n /// (regions 0..15 are currently reserved for internal use).\n /// Allocate a new, isolated Region of size 0.\n ///\n /// Example:\n ///\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// assert Region.id(region) == 16;\n /// }\n /// }\n /// ```\n public let id : (self : Region) -> Nat = Prim.regionId;\n\n /// Current size of `region`, in pages.\n /// Each page is 64KiB (65536 bytes).\n /// Initially `0`.\n /// Preserved across upgrades, together with contents of allocated\n /// stable memory.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let beforeSize = Region.size(region);\n /// ignore Region.grow(region, 10);\n /// let afterSize = Region.size(region);\n /// assert afterSize - beforeSize == 10;\n /// }\n /// }\n /// ```\n public let size : (self : Region) -> (pages : Nat64) = Prim.regionSize;\n\n /// Grow current `size` of `region` by the given number of pages.\n /// Each page is 64KiB (65536 bytes).\n /// Returns the previous `size` when able to grow.\n /// Returns `0xFFFF_FFFF_FFFF_FFFF` if remaining pages insufficient.\n /// Every new page is zero-initialized, containing byte 0x00 at every offset.\n /// Function `grow` is capped by a soft limit on `size` controlled by compile-time flag\n /// `--max-stable-pages ` (the default is 65536, or 4GiB).\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// import Error \"mo:core/Error\";\n ///\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let beforeSize = Region.grow(region, 10);\n /// if (beforeSize == 0xFFFF_FFFF_FFFF_FFFF) {\n /// throw Error.reject(\"Out of memory\");\n /// };\n /// let afterSize = Region.size(region);\n /// assert afterSize - beforeSize == 10;\n /// }\n /// }\n /// ```\n public let grow : (self : Region, newPages : Nat64) -> (oldPages : Nat64) = Prim.regionGrow;\n\n /// Within `region`, load a `Nat8` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat8 = 123;\n /// Region.storeNat8(region, offset, value);\n /// assert Region.loadNat8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat8 : (self : Region, offset : Nat64) -> Nat8 = Prim.regionLoadNat8;\n\n /// Within `region`, store a `Nat8` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat8 = 123;\n /// Region.storeNat8(region, offset, value);\n /// assert Region.loadNat8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeNat8 : (self : Region, offset : Nat64, value : Nat8) -> () = Prim.regionStoreNat8;\n\n /// Within `region`, load a `Nat16` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat16 = 123;\n /// Region.storeNat16(region, offset, value);\n /// assert Region.loadNat16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat16 : (self : Region, offset : Nat64) -> Nat16 = Prim.regionLoadNat16;\n\n /// Within `region`, store a `Nat16` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat16 = 123;\n /// Region.storeNat16(region, offset, value);\n /// assert Region.loadNat16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeNat16 : (self : Region, offset : Nat64, value : Nat16) -> () = Prim.regionStoreNat16;\n\n /// Within `region`, load a `Nat32` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat32 = 123;\n /// Region.storeNat32(region, offset, value);\n /// assert Region.loadNat32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat32 : (self : Region, offset : Nat64) -> Nat32 = Prim.regionLoadNat32;\n\n /// Within `region`, store a `Nat32` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat32 = 123;\n /// Region.storeNat32(region, offset, value);\n /// assert Region.loadNat32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public func storeNat32(self : Region, offset : Nat64, value : Nat32) : () = Prim.regionStoreNat32(self, offset, value);\n\n /// Within `region`, load a `Nat64` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat64 = 123;\n /// Region.storeNat64(region, offset, value);\n /// assert Region.loadNat64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat64 : (self : Region, offset : Nat64) -> Nat64 = Prim.regionLoadNat64;\n\n /// Within `region`, store a `Nat64` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat64 = 123;\n /// Region.storeNat64(region, offset, value);\n /// assert Region.loadNat64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeNat64 : (self : Region, offset : Nat64, value : Nat64) -> () = Prim.regionStoreNat64;\n\n /// Within `region`, load a `Int8` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int8 = 123;\n /// Region.storeInt8(region, offset, value);\n /// assert Region.loadInt8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt8 : (self : Region, offset : Nat64) -> Int8 = Prim.regionLoadInt8;\n\n /// Within `region`, store a `Int8` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int8 = 123;\n /// Region.storeInt8(region, offset, value);\n /// assert Region.loadInt8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt8 : (self : Region, offset : Nat64, value : Int8) -> () = Prim.regionStoreInt8;\n\n /// Within `region`, load a `Int16` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int16 = 123;\n /// Region.storeInt16(region, offset, value);\n /// assert Region.loadInt16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt16 : (self : Region, offset : Nat64) -> Int16 = Prim.regionLoadInt16;\n\n /// Within `region`, store a `Int16` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int16 = 123;\n /// Region.storeInt16(region, offset, value);\n /// assert Region.loadInt16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt16 : (self : Region, offset : Nat64, value : Int16) -> () = Prim.regionStoreInt16;\n\n /// Within `region`, load a `Int32` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int32 = 123;\n /// Region.storeInt32(region, offset, value);\n /// assert Region.loadInt32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt32 : (self : Region, offset : Nat64) -> Int32 = Prim.regionLoadInt32;\n\n /// Within `region`, store a `Int32` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int32 = 123;\n /// Region.storeInt32(region, offset, value);\n /// assert Region.loadInt32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt32 : (self : Region, offset : Nat64, value : Int32) -> () = Prim.regionStoreInt32;\n\n /// Within `region`, load a `Int64` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int64 = 123;\n /// Region.storeInt64(region, offset, value);\n /// assert Region.loadInt64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt64 : (self : Region, offset : Nat64) -> Int64 = Prim.regionLoadInt64;\n\n /// Within `region`, store a `Int64` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int64 = 123;\n /// Region.storeInt64(region, offset, value);\n /// assert Region.loadInt64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt64 : (self : Region, offset : Nat64, value : Int64) -> () = Prim.regionStoreInt64;\n\n /// Within `region`, loads a `Float` value from the given `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = 1.25;\n /// Region.storeFloat(region, offset, value);\n /// assert Region.loadFloat(region, offset) == 1.25;\n /// }\n /// }\n /// ```\n public let loadFloat : (self : Region, offset : Nat64) -> Float = Prim.regionLoadFloat;\n\n /// Within `region`, store float `value` at the given `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = 1.25;\n /// Region.storeFloat(region, offset, value);\n /// assert Region.loadFloat(region, offset) == 1.25;\n /// }\n /// }\n /// ```\n public let storeFloat : (self : Region, offset : Nat64, value : Float) -> () = Prim.regionStoreFloat;\n\n /// Within `region,` load `size` bytes starting from `offset` as a `Blob`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// import Blob \"mo:core/Blob\";\n ///\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = Blob.fromArray([1, 2, 3]);\n /// let size = value.size();\n /// Region.storeBlob(region, offset, value);\n /// assert Blob.toArray(Region.loadBlob(region, offset, size)) == [1, 2, 3];\n /// }\n /// }\n /// ```\n public let loadBlob : (self : Region, offset : Nat64, size : Nat) -> Blob = Prim.regionLoadBlob;\n\n /// Within `region, write `blob.size()` bytes of `blob` beginning at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// import Blob \"mo:core/Blob\";\n ///\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = Blob.fromArray([1, 2, 3]);\n /// let size = value.size();\n /// Region.storeBlob(region, offset, value);\n /// assert Blob.toArray(Region.loadBlob(region, offset, size)) == [1, 2, 3];\n /// }\n /// }\n /// ```\n public let storeBlob : (self : Region, offset : Nat64, value : Blob) -> () = Prim.regionStoreBlob;\n\n}\n"},"Stack.mo":{"content":"/// A mutable stack data structure.\n/// Elements can be pushed on top of the stack\n/// and removed from top of the stack (LIFO).\n///\n/// Example:\n/// ```motoko\n/// import Stack \"mo:core/Stack\";\n/// import Debug \"mo:core/Debug\";\n///\n/// persistent actor {\n/// let levels = Stack.empty();\n/// Stack.push(levels, \"Inner\");\n/// Stack.push(levels, \"Middle\");\n/// Stack.push(levels, \"Outer\");\n/// assert Stack.pop(levels) == ?\"Outer\";\n/// assert Stack.pop(levels) == ?\"Middle\";\n/// assert Stack.pop(levels) == ?\"Inner\";\n/// assert Stack.pop(levels) == null;\n/// }\n/// ```\n///\n/// The internal implementation is a singly-linked list.\n///\n/// Performance:\n/// * Runtime: `O(1)` for push, pop, and peek operation.\n/// * Space: `O(n)`.\n/// `n` denotes the number of elements stored on the stack.\n\n// TODO: optimize or re-use pure/List operations (e.g. for `any` etc)\n\nimport Order \"Order\";\nimport Iter \"Iter\";\nimport Types \"Types\";\nimport PureList \"pure/List\";\n\nmodule {\n type List = Types.Pure.List;\n public type Stack = Types.Stack;\n\n /// Convert a mutable stack to an immutable, purely functional list.\n /// Please note that functional lists are ordered like stacks (FIFO).\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import PureList \"mo:core/pure/List\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let mutableStack = Stack.empty();\n /// Stack.push(mutableStack, 3);\n /// Stack.push(mutableStack, 2);\n /// Stack.push(mutableStack, 1);\n /// let immutableList = Stack.toPure(mutableStack);\n /// assert Iter.toArray(PureList.values(immutableList)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the stack.\n /// @deprecated M0235\n public func toPure(self : Stack) : PureList.List {\n self.top\n };\n\n public func toArray(self : Stack) : [T] {\n Iter.toArray(values(self))\n };\n\n public func toVarArray(self : Stack) : [var T] {\n Iter.toVarArray(values(self))\n };\n\n /// Convert an immutable, purely functional list to a mutable stack.\n /// Please note that functional lists are ordered like stacks (FIFO).\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import PureList \"mo:core/pure/List\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let immutableList = PureList.fromIter([1, 2, 3].values());\n /// let mutableStack = Stack.fromPure(immutableList);\n /// assert Iter.toArray(Stack.values(mutableStack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the queue.\n /// @deprecated M0235\n public func fromPure(list : PureList.List) : Stack {\n var size = 0;\n var cur = list;\n loop {\n switch cur {\n case (?(_, next)) {\n size += 1;\n cur := next\n };\n case null {\n return { var top = list; var size }\n }\n }\n }\n };\n\n public func fromVarArray(array : [var T]) : Stack {\n fromIter(array.values())\n };\n\n public func fromArray(array : [T]) : Stack {\n fromIter(array.values())\n };\n\n /// Create a new empty mutable stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// assert Stack.size(stack) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Stack {\n {\n var top = null;\n var size = 0\n }\n };\n\n /// Creates a new stack with `size` elements by applying the `generator` function to indices `[0..size-1]`.\n /// Elements are pushed in ascending index order.\n /// Which means that the generated element with the index `0` will be at the bottom of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.tabulate(3, func(i) { 2 * i });\n /// assert Iter.toArray(Stack.values(stack)) == [4, 2, 0];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `generator` has O(1) costs.\n public func tabulate(size : Nat, generator : Nat -> T) : Stack {\n let stack = empty();\n var index = 0;\n while (index < size) {\n let element = generator(index);\n push(stack, element);\n index += 1\n };\n stack\n };\n\n /// Creates a new stack containing a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.singleton(\"motoko\");\n /// assert Stack.peek(stack) == ?\"motoko\";\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func singleton(element : T) : Stack {\n let stack = empty();\n push(stack, element);\n stack\n };\n\n /// Removes all elements from the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// Stack.clear(stack);\n /// assert Stack.isEmpty(stack);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func clear(self : Stack) {\n self.top := null;\n self.size := 0\n };\n\n /// Creates a deep copy of the stack with the same elements in the same order.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let original = Stack.fromIter([3, 2, 1].values());\n /// let copy = Stack.clone(original);\n /// assert Stack.equal(copy, original, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack.\n public func clone(self : Stack) : Stack {\n let copy = empty();\n for (element in values(self)) {\n push(copy, element)\n };\n reverse(copy);\n copy\n };\n\n /// Returns true if the stack contains no elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// assert Stack.isEmpty(stack);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func isEmpty(self : Stack) : Bool {\n self.size == 0\n };\n\n /// Returns the number of elements on the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.size(stack) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func size(self : Stack) : Nat {\n self.size\n };\n\n /// Returns true if the stack contains the specified element.\n /// Uses the provided equality function to compare elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.contains(stack, Nat.equal, 2);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and assuming\n /// that `equal` has O(1) costs.\n public func contains(self : Stack, equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (existing in values(self)) {\n if (equal(existing, element)) {\n return true\n }\n };\n false\n };\n\n public func reverseValues(self : Stack) : Iter.Iter {\n Iter.reverse(values(self))\n };\n\n /// Pushes a new element onto the top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 42);\n /// assert Stack.peek(stack) == ?42;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func push(self : Stack, value : T) {\n self.top := ?(value, self.top);\n self.size += 1\n };\n\n /// Returns the top element of the stack without removing it.\n /// Returns null if the stack is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// assert Stack.peek(stack) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func peek(self : Stack) : ?T {\n switch (self.top) {\n case null null;\n case (?(value, _)) ?value\n }\n };\n\n /// Removes and returns the top element of the stack.\n /// Returns null if the stack is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// assert Stack.pop(stack) == ?1;\n /// assert Stack.pop(stack) == ?2;\n /// assert Stack.pop(stack) == ?3;\n /// assert Stack.pop(stack) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func pop(self : Stack) : ?T {\n switch (self.top) {\n case null null;\n case (?(value, next)) {\n self.top := next;\n self.size -= 1;\n ?value\n }\n }\n };\n\n /// Returns the element at the specified position from the top of the stack.\n /// Returns null if position is out of bounds.\n /// Position 0 is the top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 'c');\n /// Stack.push(stack, 'b');\n /// Stack.push(stack, 'a');\n /// assert Stack.get(stack, 0) == ?'a';\n /// assert Stack.get(stack, 1) == ?'b';\n /// assert Stack.get(stack, 2) == ?'c';\n /// assert Stack.get(stack, 3) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack.\n public func get(self : Stack, position : Nat) : ?T {\n var index = 0;\n var current = self.top;\n while (index < position) {\n switch (current) {\n case null return null;\n case (?(_, next)) {\n current := next\n }\n };\n index += 1\n };\n switch (current) {\n case null null;\n case (?(value, _)) ?value\n }\n };\n\n /// Reverses the order of elements in the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// Stack.reverse(stack);\n /// assert Stack.pop(stack) == ?3;\n /// assert Stack.pop(stack) == ?2;\n /// assert Stack.pop(stack) == ?1;\n /// assert Stack.pop(stack) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack.\n public func reverse(self : Stack) {\n var last : List = null;\n for (element in values(self)) {\n last := ?(element, last)\n };\n self.top := last\n };\n\n /// Returns an iterator over the elements in the stack, from top to bottom.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// assert Iter.toArray(Stack.values(stack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(1) for iterator creation, O(n) for full traversal\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack.\n public func values(self : Stack) : Types.Iter {\n object {\n var current = self.top;\n\n public func next() : ?T {\n switch (current) {\n case null null;\n case (?(value, next)) {\n current := next;\n ?value\n }\n }\n }\n }\n };\n\n /// Returns true if all elements in the stack satisfy the predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([2, 4, 6].values());\n /// assert Stack.all(stack, func(n) = n % 2 == 0);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `predicate` has O(1) costs.\n public func all(self : Stack, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Returns true if any element in the stack satisfies the predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.any(stack, func(n) = n == 2);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming `predicate` has O(1) costs.\n public func any(self : Stack, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Applies the operation to each element in the stack, from top to bottom.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// var text = \"\";\n /// Stack.forEach(stack, func(n) = text #= Nat.toText(n));\n /// assert text == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `operation` has O(1) costs.\n public func forEach(self : Stack, operation : T -> ()) {\n for (element in values(self)) {\n operation(element)\n }\n };\n\n /// Creates a new stack by applying the projection function to each element.\n /// Maintains the original order of elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// let doubled = Stack.map(stack, func(n) { 2 * n });\n /// assert Stack.get(doubled, 0) == ?2;\n /// assert Stack.get(doubled, 1) == ?4;\n /// assert Stack.get(doubled, 2) == ?6;\n /// assert Stack.get(doubled, 3) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `project` has O(1) costs.\n public func map(self : Stack, project : T -> U) : Stack {\n let result = empty();\n for (element in values(self)) {\n push(result, project(element))\n };\n reverse(result);\n result\n };\n\n /// Creates a new stack containing only elements that satisfy the predicate.\n /// Maintains the relative order of elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 4);\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// let evens = Stack.filter(stack, func(n) { n % 2 == 0 });\n /// assert Stack.pop(evens) == ?2;\n /// assert Stack.pop(evens) == ?4;\n /// assert Stack.pop(evens) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming `predicate` has O(1) costs.\n public func filter(self : Stack, predicate : T -> Bool) : Stack {\n let result = empty();\n for (element in values(self)) {\n if (predicate(element)) {\n push(result, element)\n }\n };\n reverse(result);\n result\n };\n\n /// Creates a new stack by applying the projection function to each element\n /// and keeping only the successful results (where project returns ?value).\n /// Maintains the relative order of elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 4);\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// let evenDoubled = Stack.filterMap(stack, func(n) {\n /// if (n % 2 == 0) {\n /// ?(n * 2)\n /// } else {\n /// null\n /// }\n /// });\n /// assert Stack.pop(evenDoubled) == ?4;\n /// assert Stack.pop(evenDoubled) == ?8;\n /// assert Stack.pop(evenDoubled) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `project` has O(1) costs.\n public func filterMap(self : Stack, project : T -> ?U) : Stack {\n let result = empty();\n for (element in values(self)) {\n switch (project(element)) {\n case null {};\n case (?newElement) {\n push(result, newElement)\n }\n }\n };\n reverse(result);\n result\n };\n\n /// Return the first element for which the given `predicate` is true,\n /// if such an element exists.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromPure(?(1, ?(2, ?(3, null))));\n /// assert Stack.find(stack, func n = n > 1) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n\n public func find(self : Stack, predicate : T -> Bool) : ?T = PureList.find(self.top, predicate);\n\n /// Return the first index for which the given `predicate` is true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromPure(?('A', ?('B', ?('C', ?('D', null)))));\n /// let found = Stack.findIndex(stack, func x = x == 'C');\n /// assert found == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : Stack, predicate : T -> Bool) : ?Nat = PureList.findIndex(self.top, predicate);\n\n /// Compares two stacks for equality using the provided equality function.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack1 = Stack.fromIter([3, 2, 1].values());\n /// let stack2 = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.equal(stack1, stack2, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `equal` has O(1) costs.\n public func equal(self : Stack, other : Stack, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n let element1 = iterator1.next();\n let element2 = iterator2.next();\n switch (element1, element2) {\n case (null, null) {\n return true\n };\n case (?element1, ?element2) {\n if (not equal(element1, element2)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Creates a new stack from an iterator.\n /// Elements are pushed in iteration order. Which means that the last element\n /// of the iterator will be the first element on top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Iter.toArray(Stack.values(stack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of iterated elements.\n public func fromIter(iter : Types.Iter) : Stack {\n let stack = empty();\n for (element in iter) {\n push(stack, element)\n };\n stack\n };\n\n /// Convert an iterator into a stack.\n /// Elements are pushed in iteration order. Which means that the last element\n /// of the iterator will be the first element on top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter = [3, 2, 1].values();\n ///\n /// let stack = iter.toStack();\n ///\n /// assert Iter.toArray(Stack.values(stack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of iterated elements.\n public func toStack(self : Types.Iter) : Stack {\n fromIter(self)\n };\n\n /// Converts the stack to its string representation using the provided\n /// element formatting function.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.toText(stack, Nat.toText) == \"Stack[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `format` has O(1) costs.\n public func toText(self : Stack, format : (implicit : (toText : T -> Text))) : Text {\n var text = \"Stack[\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # format(element);\n sep := \", \"\n };\n text #= \"]\";\n text\n };\n\n /// Compares two stacks lexicographically using the provided comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack1 = Stack.fromIter([2, 1].values());\n /// let stack2 = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.compare(stack1, stack2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `compare` has O(1) costs.\n public func compare(self : Stack, other : Stack, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n }\n}\n"},"internal/SortHelper.mo":{"content":"import Runtime \"../Runtime\";\nimport Order \"../Order\";\nimport Prim \"mo:⛔\";\n\nmodule {\n let nat = Prim.nat32ToNat;\n\n // Must have: len <= 8\n // Use dest = buffer when sorting in place\n public func insertionSortSmall(buffer : [var T], dest : [var T], compare : (T, T) -> Order.Order, newFrom : Nat32, len : Nat32) {\n debug assert len > 0;\n switch (len) {\n case (1) {\n let index0 = nat(newFrom);\n dest[index0] := buffer[index0]\n };\n case (2) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let t0 = buffer[index0];\n let t1 = buffer[index1];\n switch (compare(t1, t0)) {\n case (#less) {\n dest[index0] := t1;\n dest[index1] := t0\n };\n case (_) {\n dest[index0] := t0;\n dest[index1] := t1\n }\n }\n };\n case (3) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n let t2 = buffer[index2];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n switch (compare(t2, t1)) {\n case (#less) {\n switch (compare(t2, t0)) {\n case (#less) {\n dest[index0] := t2;\n dest[index1] := t0;\n dest[index2] := t1\n };\n case (_) {\n dest[index0] := t0;\n dest[index1] := t2;\n dest[index2] := t1\n }\n }\n };\n case (_) {\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2\n }\n }\n };\n case (4) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n\n switch (compare(t3, t2)) {\n case (#less) {\n tv := t3;\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3\n };\n case (5) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4\n };\n case (6) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n let index5 = nat(newFrom +% 5);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n var t5 = buffer[index5];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4;\n dest[index5] := t5\n };\n case (7) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n let index5 = nat(newFrom +% 5);\n let index6 = nat(newFrom +% 6);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n var t5 = buffer[index5];\n var t6 = buffer[index6];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4;\n dest[index5] := t5;\n dest[index6] := t6\n };\n case (8) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n let index5 = nat(newFrom +% 5);\n let index6 = nat(newFrom +% 6);\n let index7 = nat(newFrom +% 7);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n var t5 = buffer[index5];\n var t6 = buffer[index6];\n var t7 = buffer[index7];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n tv := t7;\n switch (compare(tv, t6)) {\n case (#less) {\n t7 := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) { t6 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4;\n dest[index5] := t5;\n dest[index6] := t6;\n dest[index7] := t7\n };\n case (_) Runtime.trap(\"insertionSortSmall for len > 8 is not implemented.\")\n }\n };\n\n // sort from buffer to dest array at the given offset\n public func insertionSortSmallMove(buffer : [var T], dest : [var T], compare : (T, T) -> Order.Order, newFrom : Nat32, len : Nat32, offset : Nat32) {\n debug assert len > 0;\n switch (len) {\n case (1) {\n dest[nat(offset)] := buffer[nat(newFrom)]\n };\n case (2) {\n let t0 = buffer[nat(newFrom)];\n let t1 = buffer[nat(newFrom +% 1)];\n switch (compare(t1, t0)) {\n case (#less) {\n dest[nat(offset)] := t1;\n dest[nat(offset +% 1)] := t0\n };\n case (_) {\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1\n }\n }\n };\n case (3) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n let t2 = buffer[nat(newFrom +% 2)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n switch (compare(t2, t1)) {\n case (#less) {\n switch (compare(t2, t0)) {\n case (#less) {\n dest[nat(offset)] := t2;\n dest[nat(offset +% 1)] := t0;\n dest[nat(offset +% 2)] := t1\n };\n case (_) {\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t2;\n dest[nat(offset +% 2)] := t1\n }\n }\n };\n case (_) {\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2\n }\n }\n };\n case (4) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n\n switch (compare(t3, t2)) {\n case (#less) {\n tv := t3;\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3\n };\n case (5) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4\n };\n case (6) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n var t5 = buffer[nat(newFrom +% 5)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4;\n dest[nat(offset +% 5)] := t5\n };\n case (7) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n var t5 = buffer[nat(newFrom +% 5)];\n var t6 = buffer[nat(newFrom +% 6)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4;\n dest[nat(offset +% 5)] := t5;\n dest[nat(offset +% 6)] := t6\n };\n case (8) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n var t5 = buffer[nat(newFrom +% 5)];\n var t6 = buffer[nat(newFrom +% 6)];\n var t7 = buffer[nat(newFrom +% 7)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n tv := t7;\n switch (compare(tv, t6)) {\n case (#less) {\n t7 := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) { t6 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4;\n dest[nat(offset +% 5)] := t5;\n dest[nat(offset +% 6)] := t6;\n dest[nat(offset +% 7)] := t7\n };\n case (_) Runtime.trap(\"insertionSortSmall for len > 8 is not implemented.\")\n }\n }\n}\n"},"Nat32.mo":{"content":"/// Utility functions on 32-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat32 \"mo:core/Nat32\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 32-bit natural numbers.\n public type Nat32 = Prim.Types.Nat32;\n\n /// Maximum 32-bit natural number. `2 ** 32 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.maxValue == (4294967295 : Nat32);\n /// ```\n public let maxValue : Nat32 = 4294967295;\n\n /// Converts a 32-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat32) -> Nat = Prim.nat32ToNat;\n\n /// Converts an unsigned integer with infinite precision to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat(123) == (123 : Nat32);\n /// ```\n public let fromNat : Nat -> Nat32 = Prim.natToNat32;\n\n /// Converts a 32-bit unsigned integer to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat8(123) == (123 : Nat8);\n /// ```\n public func toNat8(self : Nat32) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(self))\n };\n\n /// Converts an 8-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat8(123) == (123 : Nat32);\n /// ```\n /// @deprecated M0235\n public func fromNat8(x : Nat8) : Nat32 {\n Prim.nat16ToNat32(Prim.nat8ToNat16(x))\n };\n\n /// Converts a 16-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat16(123) == (123 : Nat32);\n /// ```\n /// @deprecated M0235\n public let fromNat16 : (x : Nat16) -> Nat32 = Prim.nat16ToNat32;\n\n /// Converts a 32-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat16(123) == (123 : Nat16);\n /// ```\n public let toNat16 : (self : Nat32) -> Nat16 = Prim.nat32ToNat16;\n\n /// Converts a 64-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat64(123) == (123 : Nat32);\n /// ```\n /// @deprecated M0235\n public let fromNat64 : (x : Nat64) -> Nat32 = Prim.nat64ToNat32;\n\n /// Converts a 32-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat64(123) == (123 : Nat64);\n /// ```\n public let toNat64 : (self : Nat32) -> Nat64 = Prim.nat32ToNat64;\n\n /// Converts a signed integer with infinite precision to a 32-bit unsigned integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromIntWrap(123) == (123 : Nat32);\n /// ```\n public let fromIntWrap : Int -> Nat32 = Prim.intToNat32Wrap;\n\n /// Convert a Nat32 `char` to a Char in its Unicode representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let unicode = Nat32.toChar(65);\n /// assert unicode == 'A';\n /// ```\n public let toChar : (self : Nat32) -> Char = Prim.nat32ToChar;\n\n /// Converts `x` to its textual representation. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toText(1234) == (\"1234\" : Text);\n /// ```\n public func toText(self : Nat32) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.min(123, 456) == (123 : Nat32);\n /// ```\n public func min(x : Nat32, y : Nat32) : Nat32 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.max(123, 456) == (456 : Nat32);\n /// ```\n public func max(x : Nat32, y : Nat32) : Nat32 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat32 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.equal(1, 1);\n /// assert (1 : Nat32) == (1 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat32 = 111;\n /// let b : Nat32 = 222;\n /// assert not Nat32.equal(a, b);\n /// ```\n public func equal(x : Nat32, y : Nat32) : Bool { x == y };\n\n /// Inequality function for Nat32 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.notEqual(1, 2);\n /// assert (1 : Nat32) != (2 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat32, y : Nat32) : Bool { x != y };\n\n /// \"Less than\" function for Nat32 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.less(1, 2);\n /// assert (1 : Nat32) < (2 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat32, y : Nat32) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat32 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.lessOrEqual(1, 2);\n /// assert (1 : Nat32) <= (2 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat32, y : Nat32) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat32 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.greater(2, 1);\n /// assert (2 : Nat32) > (1 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat32, y : Nat32) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat32 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.greaterOrEqual(2, 1);\n /// assert (2 : Nat32) >= (1 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat32, y : Nat32) : Bool {\n x >= y\n };\n\n /// General purpose comparison function for `Nat32`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat32], Nat32.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat32, y : Nat32) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.add(1, 2) == 3;\n /// assert (1 : Nat32) + (2 : Nat32) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat32.add) == 6;\n /// ```\n public func add(x : Nat32, y : Nat32) : Nat32 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.sub(2, 1) == 1;\n /// assert (2 : Nat32) - (1 : Nat32) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 20, Nat32.sub) == 14;\n /// ```\n public func sub(x : Nat32, y : Nat32) : Nat32 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.mul(2, 3) == 6;\n /// assert (2 : Nat32) * (3 : Nat32) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat32.mul) == 6;\n /// ```\n public func mul(x : Nat32, y : Nat32) : Nat32 { x * y };\n\n /// Returns the division of `x by y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.div(6, 2) == 3;\n /// assert (6 : Nat32) / (2 : Nat32) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat32, y : Nat32) : Nat32 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.rem(6, 4) == 2;\n /// assert (6 : Nat32) % (4 : Nat32) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat32, y : Nat32) : Nat32 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`. Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.pow(2, 3) == 8;\n /// assert (2 : Nat32) ** (3 : Nat32) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat32, y : Nat32) : Nat32 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitnot(0) == 4294967295;\n /// assert ^(0 : Nat32) == 4294967295;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat32) : Nat32 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitand(1, 3) == 1;\n /// assert (1 : Nat32) & (3 : Nat32) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat32, y : Nat32) : Nat32 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitor(1, 3) == 3;\n /// assert (1 : Nat32) | (3 : Nat32) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Nat32, y : Nat32) : Nat32 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitxor(1, 3) == 2;\n /// assert (1 : Nat32) ^ (3 : Nat32) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Nat32, y : Nat32) : Nat32 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitshiftLeft(1, 3) == 8;\n /// assert (1 : Nat32) << (3 : Nat32) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat32, y : Nat32) : Nat32 {\n x << y\n };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitshiftRight(8, 3) == 1;\n /// assert (8 : Nat32) >> (3 : Nat32) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat32, y : Nat32) : Nat32 {\n x >> y\n };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitrotLeft(1, 3) == 8;\n /// assert (1 : Nat32) <<> (3 : Nat32) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat32, y : Nat32) : Nat32 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitrotRight(1, 1) == 2147483648;\n /// assert (1 : Nat32) <>> (1 : Nat32) == 2147483648;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat32, y : Nat32) : Nat32 {\n x <>> y\n };\n\n /// Returns the value of bit `p mod 32` in `x`, `(x & 2^(p mod 32)) == 2^(p mod 32)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bittest(5, 2);\n /// ```\n public func bittest(x : Nat32, p : Nat) : Bool {\n Prim.btstNat32(x, Prim.natToNat32(p))\n };\n\n /// Returns the value of setting bit `p mod 32` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitset(5, 1) == 7;\n /// ```\n public func bitset(x : Nat32, p : Nat) : Nat32 {\n x | (1 << Prim.natToNat32(p))\n };\n\n /// Returns the value of clearing bit `p mod 32` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat32, p : Nat) : Nat32 {\n x & ^(1 << Prim.natToNat32(p))\n };\n\n /// Returns the value of flipping bit `p mod 32` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat32, p : Nat) : Nat32 {\n x ^ (1 << Prim.natToNat32(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat32) -> Nat32 = Prim.popcntNat32;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitcountLeadingZero(5) == 29;\n /// ```\n public let bitcountLeadingZero : (x : Nat32) -> Nat32 = Prim.clzNat32;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitcountTrailingZero(16) == 4;\n /// ```\n public let bitcountTrailingZero : (x : Nat32) -> Nat32 = Prim.ctzNat32;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.explode 0xaa885511 == (170, 136, 85, 17);\n /// ```\n public let explode : (x : Nat32) -> (msb : Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeNat32;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.addWrap(4294967295, 1) == 0;\n /// assert (4294967295 : Nat32) +% (1 : Nat32) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat32, y : Nat32) : Nat32 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.subWrap(0, 1) == 4294967295;\n /// assert (0 : Nat32) -% (1 : Nat32) == 4294967295;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat32, y : Nat32) : Nat32 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.mulWrap(2147483648, 2) == 0;\n /// assert (2147483648 : Nat32) *% (2 : Nat32) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat32, y : Nat32) : Nat32 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.powWrap(2, 32) == 0;\n /// assert (2 : Nat32) **% (32 : Nat32) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat32, y : Nat32) : Nat32 { x **% y };\n\n /// Returns an iterator over `Nat32` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat32, toExclusive : Nat32) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat32 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat32` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat32, to : Nat32) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat32 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat32 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"Float.mo":{"content":"/// Double precision (64-bit) floating-point numbers in IEEE 754 representation.\n///\n/// This module contains common floating-point constants and utility functions.\n///\n/// ```motoko name=import\n/// import Float \"mo:core/Float\";\n/// ```\n///\n/// Notation for special values in the documentation below:\n/// `+inf`: Positive infinity\n/// `-inf`: Negative infinity\n/// `NaN`: \"not a number\" (can have different sign bit values, but `NaN != NaN` regardless of the sign).\n///\n/// Note:\n/// Floating point numbers have limited precision and operations may inherently result in numerical errors.\n///\n/// Examples of numerical errors:\n/// ```motoko\n/// assert 0.1 + 0.1 + 0.1 != 0.3;\n/// ```\n///\n/// ```motoko\n/// assert not (1e16 + 1.0 != 1e16);\n/// ```\n///\n/// (and many more cases)\n///\n/// Advice:\n/// * Floating point number comparisons by `==` or `!=` are discouraged. Instead, it is better to compare\n/// floating-point numbers with a numerical tolerance, called epsilon.\n///\n/// Example:\n/// ```motoko\n/// import Float \"mo:core/Float\";\n/// let x = 0.1 + 0.1 + 0.1;\n/// let y = 0.3;\n///\n/// let epsilon = 1e-6; // This depends on the application case (needs a numerical error analysis).\n/// assert Float.equal(x, y, epsilon);\n/// ```\n///\n/// * For absolute precision, it is recommened to encode the fraction number as a pair of a Nat for the base\n/// and a Nat for the exponent (decimal point).\n///\n/// NaN sign:\n/// * The NaN sign is only applied by `abs`, `neg`, and `copySign`. Other operations can have an arbitrary\n/// sign bit for NaN results.\n\nimport Prim \"mo:⛔\";\nimport Int \"Int\";\nimport Order \"Order\";\n\nmodule {\n\n /// 64-bit floating point number type.\n public type Float = Prim.Types.Float;\n\n /// Ratio of the circumference of a circle to its diameter.\n /// Note: Limited precision.\n public let pi : Float = 3.14159265358979323846; // taken from musl math.h\n\n /// Base of the natural logarithm.\n /// Note: Limited precision.\n public let e : Float = 2.7182818284590452354; // taken from musl math.h\n\n /// Determines whether the `number` is a `NaN` (\"not a number\" in the floating point representation).\n /// Notes:\n /// * Equality test of `NaN` with itself or another number is always `false`.\n /// * There exist many internal `NaN` value representations, such as positive and negative NaN,\n /// signalling and quiet NaNs, each with many different bit representations.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.isNaN(0.0/0.0);\n /// ```\n public func isNaN(self : Float) : Bool {\n self != self\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Special cases:\n /// ```\n /// abs(+inf) => +inf\n /// abs(-inf) => +inf\n /// abs(-NaN) => +NaN\n /// abs(-0.0) => 0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.abs(-1.2), 1.2, epsilon);\n /// ```\n public let abs : (x : Float) -> Float = Prim.floatAbs;\n\n /// Returns the square root of `x`.\n ///\n /// Special cases:\n /// ```\n /// sqrt(+inf) => +inf\n /// sqrt(-0.0) => -0.0\n /// sqrt(x) => NaN if x < 0.0\n /// sqrt(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.sqrt(6.25), 2.5, epsilon);\n /// ```\n public let sqrt : (x : Float) -> Float = Prim.floatSqrt;\n\n /// Returns the smallest integral float greater than or equal to `x`.\n ///\n /// Special cases:\n /// ```\n /// ceil(+inf) => +inf\n /// ceil(-inf) => -inf\n /// ceil(NaN) => NaN\n /// ceil(0.0) => 0.0\n /// ceil(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.ceil(1.2), 2.0, epsilon);\n /// ```\n public let ceil : (x : Float) -> Float = Prim.floatCeil;\n\n /// Returns the largest integral float less than or equal to `x`.\n ///\n /// Special cases:\n /// ```\n /// floor(+inf) => +inf\n /// floor(-inf) => -inf\n /// floor(NaN) => NaN\n /// floor(0.0) => 0.0\n /// floor(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.floor(1.2), 1.0, epsilon);\n /// ```\n public let floor : (x : Float) -> Float = Prim.floatFloor;\n\n /// Returns the nearest integral float not greater in magnitude than `x`.\n /// This is equivalent to returning `x` with truncating its decimal places.\n ///\n /// Special cases:\n /// ```\n /// trunc(+inf) => +inf\n /// trunc(-inf) => -inf\n /// trunc(NaN) => NaN\n /// trunc(0.0) => 0.0\n /// trunc(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.trunc(2.75), 2.0, epsilon);\n /// ```\n public let trunc : (x : Float) -> Float = Prim.floatTrunc;\n\n /// Returns the nearest integral float to `x`.\n /// A decimal place of exactly .5 is rounded to the nearest even integral float.\n /// and rounded down for `x < 0`\n ///\n /// Special cases:\n /// ```\n /// nearest(+inf) => +inf\n /// nearest(-inf) => -inf\n /// nearest(NaN) => NaN\n /// nearest(0.0) => 0.0\n /// nearest(-0.0) => -0.0\n /// nearest(14.5) => 14.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.nearest(2.75) == 3.0\n /// ```\n public let nearest : (x : Float) -> Float = Prim.floatNearest;\n\n /// Returns `x` if `x` and `y` have same sign, otherwise `x` with negated sign.\n ///\n /// The sign bit of zero, infinity, and `NaN` is considered.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.copySign(1.2, -2.3), -1.2, epsilon);\n /// ```\n public let copySign : (x : Float, y : Float) -> Float = Prim.floatCopySign;\n\n /// Returns the smaller value of `x` and `y`.\n ///\n /// Special cases:\n /// ```\n /// min(NaN, y) => NaN for any Float y\n /// min(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.min(1.2, -2.3) == -2.3; // with numerical imprecision\n /// ```\n public let min : (x : Float, y : Float) -> Float = Prim.floatMin;\n\n /// Returns the larger value of `x` and `y`.\n ///\n /// Special cases:\n /// ```\n /// max(NaN, y) => NaN for any Float y\n /// max(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.max(1.2, -2.3) == 1.2;\n /// ```\n public let max : (x : Float, y : Float) -> Float = Prim.floatMax;\n\n /// Returns the sine of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// sin(+inf) => NaN\n /// sin(-inf) => NaN\n /// sin(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.sin(Float.pi / 2), 1.0, epsilon);\n /// ```\n public let sin : (x : Float) -> Float = Prim.sin;\n\n /// Returns the cosine of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// cos(+inf) => NaN\n /// cos(-inf) => NaN\n /// cos(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.cos(Float.pi / 2), 0.0, epsilon);\n /// ```\n public let cos : (x : Float) -> Float = Prim.cos;\n\n /// Returns the tangent of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// tan(+inf) => NaN\n /// tan(-inf) => NaN\n /// tan(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.tan(Float.pi / 4), 1.0, epsilon);\n /// ```\n public let tan : (x : Float) -> Float = Prim.tan;\n\n /// Returns the arc sine of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arcsin(x) => NaN if x > 1.0\n /// arcsin(x) => NaN if x < -1.0\n /// arcsin(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.arcsin(1.0), Float.pi / 2, epsilon);\n /// ```\n public let arcsin : (x : Float) -> Float = Prim.arcsin;\n\n /// Returns the arc cosine of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arccos(x) => NaN if x > 1.0\n /// arccos(x) => NaN if x < -1.0\n /// arcos(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.arccos(1.0), 0.0, epsilon);\n /// ```\n public let arccos : (x : Float) -> Float = Prim.arccos;\n\n /// Returns the arc tangent of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arctan(+inf) => pi / 2\n /// arctan(-inf) => -pi / 2\n /// arctan(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.arctan(1.0), Float.pi / 4, epsilon);\n /// ```\n public let arctan : (x : Float) -> Float = Prim.arctan;\n\n /// Given `(y,x)`, returns the arc tangent in radians of `y/x` based on the signs of both values to determine the correct quadrant.\n ///\n /// Special cases:\n /// ```\n /// arctan2(0.0, 0.0) => 0.0\n /// arctan2(-0.0, 0.0) => -0.0\n /// arctan2(0.0, -0.0) => pi\n /// arctan2(-0.0, -0.0) => -pi\n /// arctan2(+inf, +inf) => pi / 4\n /// arctan2(+inf, -inf) => 3 * pi / 4\n /// arctan2(-inf, +inf) => -pi / 4\n /// arctan2(-inf, -inf) => -3 * pi / 4\n /// arctan2(NaN, x) => NaN for any Float x\n /// arctan2(y, NaN) => NaN for any Float y\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let sqrt2over2 = Float.sqrt(2) / 2;\n /// assert Float.arctan2(sqrt2over2, sqrt2over2) == Float.pi / 4;\n /// ```\n public let arctan2 : (x : Float, y : Float) -> Float = Prim.arctan2;\n\n /// Returns the value of `e` raised to the `x`-th power.\n ///\n /// Special cases:\n /// ```\n /// exp(+inf) => +inf\n /// exp(-inf) => 0.0\n /// exp(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.exp(1.0), Float.e, epsilon);\n /// ```\n public let exp : (x : Float) -> Float = Prim.exp;\n\n /// Returns the natural logarithm (base-`e`) of `x`.\n ///\n /// Special cases:\n /// ```\n /// log(0.0) => -inf\n /// log(-0.0) => -inf\n /// log(x) => NaN if x < 0.0\n /// log(+inf) => +inf\n /// log(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.log(Float.e), 1.0, epsilon);\n /// ```\n public let log : (x : Float) -> Float = Prim.log;\n\n /// Formatting. `format(fmt, x)` formats `x` to `Text` according to the\n /// formatting directive `fmt`, which can take one of the following forms:\n ///\n /// * `#fix prec` as fixed-point format with `prec` digits\n /// * `#exp prec` as exponential format with `prec` digits\n /// * `#gen prec` as generic format with `prec` digits\n /// * `#exact` as exact format that can be decoded without loss.\n ///\n /// `-0.0` is formatted with negative sign bit.\n /// Positive infinity is formatted as \"inf\".\n /// Negative infinity is formatted as \"-inf\".\n ///\n /// The numerical precision and the text format can vary between\n /// Motoko versions and runtime configuration. Moreover, `NaN` can be printed\n /// differently, i.e. \"NaN\" or \"nan\", potentially omitting the `NaN` sign.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// assert Float.format(#exp 3, 123.0) == \"1.230e+02\";\n /// ```\n public func format(self : Float, fmt : { #fix : Nat8; #exp : Nat8; #gen : Nat8; #exact }) : Text = switch fmt {\n case (#fix(prec)) { Prim.floatToFormattedText(self, prec, 0) };\n case (#exp(prec)) { Prim.floatToFormattedText(self, prec, 1) };\n case (#gen(prec)) { Prim.floatToFormattedText(self, prec, 2) };\n case (#exact) { Prim.floatToFormattedText(self, 17, 2) }\n };\n\n /// Conversion to Text. Use `format(fmt, x)` for more detailed control.\n ///\n /// `-0.0` is formatted with negative sign bit.\n /// Positive infinity is formatted as `inf`.\n /// Negative infinity is formatted as `-inf`.\n /// `NaN` is formatted as `NaN` or `-NaN` depending on its sign bit.\n ///\n /// The numerical precision and the text format can vary between\n /// Motoko versions and runtime configuration. Moreover, `NaN` can be printed\n /// differently, i.e. \"NaN\" or \"nan\", potentially omitting the `NaN` sign.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// assert Float.toText(1.2) == \"1.2\";\n /// ```\n public let toText : (self : Float) -> Text = Prim.floatToText;\n\n /// Conversion to Int64 by truncating Float, equivalent to `toInt64(trunc(f))`\n ///\n /// Traps if the floating point number is larger or smaller than the representable Int64.\n /// Also traps for `inf`, `-inf`, and `NaN`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.toInt64(-12.3) == -12;\n /// ```\n public let toInt64 : (self : Float) -> Int64 = Prim.floatToInt64;\n\n /// Conversion from Int64.\n ///\n /// Note: The floating point number may be imprecise for large or small Int64.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.fromInt64(-42) == -42.0;\n /// ```\n public let fromInt64 : (x : Int64) -> Float = Prim.int64ToFloat;\n\n /// Conversion to Int.\n ///\n /// Traps for `inf`, `-inf`, and `NaN`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.toInt(1.2e6) == +1_200_000;\n /// ```\n public let toInt : (self : Float) -> Int = Prim.floatToInt;\n\n /// Conversion from Int. May result in `Inf`.\n ///\n /// Note: The floating point number may be imprecise for large or small Int values.\n /// Returns `inf` if the integer is greater than the maximum floating point number.\n /// Returns `-inf` if the integer is less than the minimum floating point number.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.fromInt(-123) == -123.0;\n /// ```\n /// @deprecated M0235\n public let fromInt : (x : Int) -> Float = Prim.intToFloat;\n\n /// Determines whether `x` is equal to `y` within the defined tolerance of `epsilon`.\n /// The `epsilon` considers numerical erros, see comment above.\n /// Equivalent to `Float.abs(x - y) <= epsilon` for a non-negative epsilon.\n ///\n /// Traps if `epsilon` is negative or `NaN`.\n ///\n /// Special cases:\n /// ```\n /// equal(+0.0, -0.0, epsilon) => true for any `epsilon >= 0.0`\n /// equal(-0.0, +0.0, epsilon) => true for any `epsilon >= 0.0`\n /// equal(+inf, +inf, epsilon) => true for any `epsilon >= 0.0`\n /// equal(-inf, -inf, epsilon) => true for any `epsilon >= 0.0`\n /// equal(x, NaN, epsilon) => false for any x and `epsilon >= 0.0`\n /// equal(NaN, y, epsilon) => false for any y and `epsilon >= 0.0`\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(-12.3, -1.23e1, epsilon);\n /// ```\n public func equal(x : Float, y : Float, epsilon : Float) : Bool {\n if (not (epsilon >= 0.0)) {\n // also considers NaN, not identical to `epsilon < 0.0`\n Prim.trap(\"Float.equal(): epsilon must be greater or equal 0.0\")\n };\n x == y or abs(x - y) <= epsilon // `x == y` to also consider infinity equal\n };\n\n /// Determines whether `x` is not equal to `y` within the defined tolerance of `epsilon`.\n /// The `epsilon` considers numerical erros, see comment above.\n /// Equivalent to `not equal(x, y, epsilon)`.\n ///\n /// Traps if `epsilon` is negative or `NaN`.\n ///\n /// Special cases:\n /// ```\n /// notEqual(+0.0, -0.0, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(-0.0, +0.0, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(+inf, +inf, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(-inf, -inf, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(x, NaN, epsilon) => true for any x and `epsilon >= 0.0`\n /// notEqual(NaN, y, epsilon) => true for any y and `epsilon >= 0.0`\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert not Float.notEqual(-12.3, -1.23e1, epsilon);\n /// ```\n public func notEqual(x : Float, y : Float, epsilon : Float) : Bool {\n if (not (epsilon >= 0.0)) {\n // also considers NaN, not identical to `epsilon < 0.0`\n Prim.trap(\"Float.notEqual(): epsilon must be greater or equal 0.0\")\n };\n not (x == y or abs(x - y) <= epsilon)\n };\n\n /// Returns `x < y`.\n ///\n /// Special cases:\n /// ```\n /// less(+0.0, -0.0) => false\n /// less(-0.0, +0.0) => false\n /// less(NaN, y) => false for any Float y\n /// less(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.less(Float.e, Float.pi);\n /// ```\n public func less(x : Float, y : Float) : Bool { x < y };\n\n /// Returns `x <= y`.\n ///\n /// Special cases:\n /// ```\n /// lessOrEqual(+0.0, -0.0) => true\n /// lessOrEqual(-0.0, +0.0) => true\n /// lessOrEqual(NaN, y) => false for any Float y\n /// lessOrEqual(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.lessOrEqual(0.123, 0.1234);\n /// ```\n public func lessOrEqual(x : Float, y : Float) : Bool { x <= y };\n\n /// Returns `x > y`.\n ///\n /// Special cases:\n /// ```\n /// greater(+0.0, -0.0) => false\n /// greater(-0.0, +0.0) => false\n /// greater(NaN, y) => false for any Float y\n /// greater(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.greater(Float.pi, Float.e);\n /// ```\n public func greater(x : Float, y : Float) : Bool { x > y };\n\n /// Returns `x >= y`.\n ///\n /// Special cases:\n /// ```\n /// greaterOrEqual(+0.0, -0.0) => true\n /// greaterOrEqual(-0.0, +0.0) => true\n /// greaterOrEqual(NaN, y) => false for any Float y\n /// greaterOrEqual(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.greaterOrEqual(0.1234, 0.123);\n /// ```\n public func greaterOrEqual(x : Float, y : Float) : Bool {\n x >= y\n };\n\n /// Defines a total order of `x` and `y` for use in sorting.\n ///\n /// Note: Using this operation to determine equality or inequality is discouraged for two reasons:\n /// * It does not consider numerical errors, see comment above. Use `equal(x, y, espilon)` or\n /// `notEqual(x, y, epsilon)` to test for equality or inequality, respectively.\n /// * `NaN` are here considered equal if their sign matches, which is different to the standard equality\n /// by `==` or when using `equal()` or `notEqual()`.\n ///\n /// Total order:\n /// * negative NaN (no distinction between signalling and quiet negative NaN)\n /// * negative infinity\n /// * negative numbers (including negative subnormal numbers in standard order)\n /// * negative zero (`-0.0`)\n /// * positive zero (`+0.0`)\n /// * positive numbers (including positive subnormal numbers in standard order)\n /// * positive infinity\n /// * positive NaN (no distinction between signalling and quiet positive NaN)\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.compare(0.123, 0.1234) == #less;\n /// ```\n public func compare(x : Float, y : Float) : Order.Order {\n if (isNaN(x)) {\n if (isNegative(x)) {\n if (isNaN(y) and isNegative(y)) { #equal } else { #less }\n } else {\n if (isNaN(y) and not isNegative(y)) { #equal } else { #greater }\n }\n } else if (isNaN(y)) {\n if (isNegative(y)) {\n #greater\n } else {\n #less\n }\n } else {\n if (x == y) { #equal } else if (x < y) { #less } else {\n #greater\n }\n }\n };\n\n func isNegative(self : Float) : Bool {\n copySign(1.0, self) < 0.0\n };\n\n /// Returns the negation of `x`, `-x` .\n ///\n /// Changes the sign bit for infinity.\n ///\n /// Special cases:\n /// ```\n /// neg(+inf) => -inf\n /// neg(-inf) => +inf\n /// neg(+NaN) => -NaN\n /// neg(-NaN) => +NaN\n /// neg(+0.0) => -0.0\n /// neg(-0.0) => +0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.neg(1.23), -1.23, epsilon);\n /// ```\n public func neg(x : Float) : Float { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// add(+inf, y) => +inf if y is any Float except -inf and NaN\n /// add(-inf, y) => -inf if y is any Float except +inf and NaN\n /// add(+inf, -inf) => NaN\n /// add(NaN, y) => NaN for any Float y\n /// ```\n /// The same cases apply commutatively, i.e. for `add(y, x)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.add(1.23, 0.123), 1.353, epsilon);\n /// ```\n public func add(x : Float, y : Float) : Float { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// sub(+inf, y) => +inf if y is any Float except +inf or NaN\n /// sub(-inf, y) => -inf if y is any Float except -inf and NaN\n /// sub(x, +inf) => -inf if x is any Float except +inf and NaN\n /// sub(x, -inf) => +inf if x is any Float except -inf and NaN\n /// sub(+inf, +inf) => NaN\n /// sub(-inf, -inf) => NaN\n /// sub(NaN, y) => NaN for any Float y\n /// sub(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.sub(1.23, 0.123), 1.107, epsilon);\n /// ```\n public func sub(x : Float, y : Float) : Float { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// mul(+inf, y) => +inf if y > 0.0\n /// mul(-inf, y) => -inf if y > 0.0\n /// mul(+inf, y) => -inf if y < 0.0\n /// mul(-inf, y) => +inf if y < 0.0\n /// mul(+inf, 0.0) => NaN\n /// mul(-inf, 0.0) => NaN\n /// mul(NaN, y) => NaN for any Float y\n /// ```\n /// The same cases apply commutatively, i.e. for `mul(y, x)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.mul(1.23, 1e2), 123.0, epsilon);\n /// ```\n public func mul(x : Float, y : Float) : Float { x * y };\n\n /// Returns the division of `x` by `y`, `x / y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// div(0.0, 0.0) => NaN\n /// div(x, 0.0) => +inf for x > 0.0\n /// div(x, 0.0) => -inf for x < 0.0\n /// div(x, +inf) => 0.0 for any x except +inf, -inf, and NaN\n /// div(x, -inf) => 0.0 for any x except +inf, -inf, and NaN\n /// div(+inf, y) => +inf if y >= 0.0\n /// div(+inf, y) => -inf if y < 0.0\n /// div(-inf, y) => -inf if y >= 0.0\n /// div(-inf, y) => +inf if y < 0.0\n /// div(NaN, y) => NaN for any Float y\n /// div(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.div(1.23, 1e2), 0.0123, epsilon);\n /// ```\n public func div(x : Float, y : Float) : Float { x / y };\n\n /// Returns the floating point division remainder `x % y`,\n /// which is defined as `x - trunc(x / y) * y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// rem(0.0, 0.0) => NaN\n /// rem(x, y) => +inf if sign(x) == sign(y) for any x and y not being +inf, -inf, or NaN\n /// rem(x, y) => -inf if sign(x) != sign(y) for any x and y not being +inf, -inf, or NaN\n /// rem(x, +inf) => x for any x except +inf, -inf, and NaN\n /// rem(x, -inf) => x for any x except +inf, -inf, and NaN\n /// rem(+inf, y) => NaN for any Float y\n /// rem(-inf, y) => NaN for any Float y\n /// rem(NaN, y) => NaN for any Float y\n /// rem(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.rem(7.2, 2.3), 0.3, epsilon);\n /// ```\n public func rem(x : Float, y : Float) : Float { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// pow(+inf, y) => +inf for any y > 0.0 including +inf\n /// pow(+inf, 0.0) => 1.0\n /// pow(+inf, y) => 0.0 for any y < 0.0 including -inf\n /// pow(x, +inf) => +inf if x > 0.0 or x < 0.0\n /// pow(0.0, +inf) => 0.0\n /// pow(x, -inf) => 0.0 if x > 0.0 or x < 0.0\n /// pow(0.0, -inf) => +inf\n /// pow(x, y) => NaN if x < 0.0 and y is a non-integral Float\n /// pow(-inf, y) => +inf if y > 0.0 and y is a non-integral or an even integral Float\n /// pow(-inf, y) => -inf if y > 0.0 and y is an odd integral Float\n /// pow(-inf, 0.0) => 1.0\n /// pow(-inf, y) => 0.0 if y < 0.0\n /// pow(-inf, +inf) => +inf\n /// pow(-inf, -inf) => 1.0\n /// pow(NaN, y) => NaN if y != 0.0\n /// pow(NaN, 0.0) => 1.0\n /// pow(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.pow(2.5, 2.0), 6.25, epsilon);\n /// ```\n public func pow(x : Float, y : Float) : Float { x ** y };\n\n}\n"},"Nat.mo":{"content":"/// Natural numbers with infinite precision.\n///\n/// Most operations on natural numbers (e.g. addition) are available as built-in operators (e.g. `1 + 1`).\n/// This module provides equivalent functions and `Text` conversion.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat \"mo:core/Nat\";\n/// ```\n\nimport Int \"Int\";\nimport Prim \"mo:⛔\";\nimport Char \"Char\";\nimport Iter \"Iter\";\nimport Runtime \"Runtime\";\nimport Order \"Order\";\n\nmodule {\n\n /// Infinite precision natural numbers.\n public type Nat = Prim.Types.Nat;\n\n /// Converts a natural number to its textual representation. Textual\n /// representation _do not_ contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toText(1234) == \"1234\";\n /// ```\n public let toText : (self : Nat) -> Text = Int.toText;\n\n /// Creates a natural number from its textual representation. Returns `null`\n /// if the input is not a valid natural number.\n ///\n /// The textual representation _must not_ contain underscores.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromText(\"1234\") == ?1234;\n /// ```\n public func fromText(text : Text) : ?Nat {\n if (text == \"\") {\n return null\n };\n var n = 0;\n for (c in text.chars()) {\n if (Char.isDigit(c)) {\n let charAsNat = Prim.nat32ToNat(Prim.charToNat32(c) -% Prim.charToNat32('0'));\n n := n * 10 + charAsNat\n } else {\n return null\n }\n };\n ?n\n };\n\n /// Creates a natural number from its textual representation. Returns `null`\n /// if the input is not a valid natural number.\n ///\n /// The textual representation _must not_ contain underscores.\n ///\n /// This functions is meant to be used with contextual-dot notation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert \"1234\".toNat() == ?1234;\n /// ```\n public let toNat : (self : Text) -> ?Nat = fromText;\n\n /// Converts an integer to a natural number. Traps if the integer is negative.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromInt(1234) == (1234 : Nat);\n /// ```\n /// @deprecated M0235\n public func fromInt(int : Int) : Nat {\n if (int < 0) {\n Runtime.trap(\"Nat.fromInt(): negative input value\")\n } else {\n Int.abs(int)\n }\n };\n\n /// Conversion to Float. May result in `Inf`.\n ///\n /// Note: The floating point number may be imprecise for large Nat values.\n /// Returns `inf` if the integer is greater than the maximum floating point number.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toFloat(123) == 123.0;\n /// ```\n public let toFloat : (self : Nat) -> Float = Int.toFloat;\n\n /// Converts a natural number to an integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toInt(1234) == 1234;\n /// ```\n public func toInt(self : Nat) : Int {\n self : Int\n };\n\n /// Converts an unsigned integer with infinite precision to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat8(123) == (123 : Nat8);\n /// ```\n public let toNat8 : (self : Nat) -> Nat8 = Prim.natToNat8;\n\n /// Converts an unsigned integer with infinite precision to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat16(123) == (123 : Nat16);\n /// ```\n public let toNat16 : (self : Nat) -> Nat16 = Prim.natToNat16;\n\n /// Converts an unsigned integer with infinite precision to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat32(123) == (123 : Nat32);\n /// ```\n public let toNat32 : (self : Nat) -> Nat32 = Prim.natToNat32;\n\n /// Converts an unsigned integer with infinite precision to a 64-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat64(123) == (123 : Nat64);\n /// ```\n public let toNat64 : (self : Nat) -> Nat64 = Prim.natToNat64;\n\n /// Converts an 8-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat8(123) == (123 : Nat);\n /// ```\n public let fromNat8 : Nat8 -> Nat = Prim.nat8ToNat;\n\n /// Converts a 16-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat16(123) == (123 : Nat);\n /// ```\n public let fromNat16 : Nat16 -> Nat = Prim.nat16ToNat;\n\n /// Converts a 32-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat32(123) == (123 : Nat);\n /// ```\n public let fromNat32 : Nat32 -> Nat = Prim.nat32ToNat;\n\n /// Converts a 64-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat64(123) == (123 : Nat);\n /// ```\n public let fromNat64 : Nat64 -> Nat = Prim.nat64ToNat;\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.min(1, 2) == 1;\n /// ```\n public func min(x : Nat, y : Nat) : Nat {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.max(1, 2) == 2;\n /// ```\n public func max(x : Nat, y : Nat) : Nat {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.equal(1, 1);\n /// assert 1 == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a = 111;\n /// let b = 222;\n /// assert not Nat.equal(a, b);\n /// ```\n public func equal(x : Nat, y : Nat) : Bool { x == y };\n\n /// Inequality function for Nat types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.notEqual(1, 2);\n /// assert 1 != 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat, y : Nat) : Bool { x != y };\n\n /// \"Less than\" function for Nat types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.less(1, 2);\n /// assert 1 < 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat, y : Nat) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.lessOrEqual(1, 2);\n /// assert 1 <= 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat, y : Nat) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.greater(2, 1);\n /// assert 2 > 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat, y : Nat) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.greaterOrEqual(2, 1);\n /// assert 2 >= 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat, y : Nat) : Bool { x >= y };\n\n /// General purpose comparison function for `Nat`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1], Nat.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat, y : Nat) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`. This operator will never overflow\n /// because `Nat` is infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.add(1, 2) == 3;\n /// assert 1 + 2 == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat.add) == 6;\n /// ```\n public func add(x : Nat, y : Nat) : Nat { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow below `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.sub(2, 1) == 1;\n /// // Add a type annotation to avoid a warning about the subtraction\n /// assert 2 - 1 : Nat == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 10, Nat.sub) == 4;\n /// ```\n public func sub(x : Nat, y : Nat) : Nat { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`. This operator will never\n /// overflow because `Nat` is infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.mul(2, 3) == 6;\n /// assert 2 * 3 == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat.mul) == 6;\n /// ```\n public func mul(x : Nat, y : Nat) : Nat { x * y };\n\n /// Returns the unsigned integer division of `x` by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// The quotient is rounded down, which is equivalent to truncating the\n /// decimal places of the quotient.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.div(6, 2) == 3;\n /// assert 6 / 2 == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat, y : Nat) : Nat { x / y };\n\n /// Returns the remainder of unsigned integer division of `x` by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.rem(6, 4) == 2;\n /// assert 6 % 4 == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat, y : Nat) : Nat { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`. Traps when `y > 2^32`. This operator\n /// will never overflow because `Nat` is infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.pow(2, 3) == 8;\n /// assert 2 ** 3 == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat, y : Nat) : Nat { x ** y };\n\n /// Returns the (conceptual) bitwise shift left of `x` by `y`, `x * (2 ** y)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.bitshiftLeft(1, 3) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in absence\n /// of the `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. While `Nat` is not defined in terms\n /// of bit patterns, conceptually it can be regarded as such, and the operation\n /// is provided as a high-performance version of the corresponding arithmetic\n /// rule.\n public let bitshiftLeft : (x : Nat, y : Nat32) -> Nat = Prim.shiftLeft;\n\n /// Returns the (conceptual) bitwise shift right of `x` by `y`, `x / (2 ** y)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.bitshiftRight(8, 3) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in absence\n /// of the `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. While `Nat` is not defined in terms\n /// of bit patterns, conceptually it can be regarded as such, and the operation\n /// is provided as a high-performance version of the corresponding arithmetic\n /// rule.\n public let bitshiftRight : (x : Nat, y : Nat32) -> Nat = Prim.shiftRight;\n\n /// Returns an iterator over `Nat` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat, toExclusive : Nat) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat {\n if (n >= toExclusive) {\n return null\n };\n let current = n;\n n += 1;\n ?current\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat` values from the first to second argument with an exclusive upper bound,\n /// incrementing by the specified step size. The step can be positive or negative.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Nat.rangeBy(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Nat.rangeBy(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeBy(fromInclusive : Nat, toExclusive : Nat, step : Int) : Iter.Iter {\n if (step == 0 or (step > 0 and fromInclusive >= toExclusive) or (step < 0 and fromInclusive <= toExclusive)) {\n Iter.empty()\n } else if (step > 0) {\n object {\n let stepMagnitude = Int.abs(step);\n var n = fromInclusive;\n public func next() : ?Nat {\n if (n >= toExclusive) {\n return null\n };\n let current = n;\n n += stepMagnitude;\n ?current\n }\n }\n } else {\n object {\n let stepMagnitude = Int.abs(step);\n var n = fromInclusive;\n public func next() : ?Nat {\n if (n <= toExclusive) {\n return null\n };\n let current = n;\n if (stepMagnitude > n) {\n n := 0\n } else {\n n -= stepMagnitude\n };\n ?current\n }\n }\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.rangeInclusive(3, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat, to : Nat) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n public func next() : ?Nat {\n if (n > to) {\n return null\n };\n let current = n;\n n += 1;\n ?current\n }\n }\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive,\n /// incrementing by the specified step size. The step can be positive or negative.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Nat.rangeByInclusive(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == ?7;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Nat.rangeByInclusive(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == ?1;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `from == to`, return an iterator which only returns that value.\n ///\n /// Otherwise, if `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeByInclusive(from : Nat, to : Nat, step : Int) : Iter.Iter {\n if (from == to) {\n Iter.singleton(from)\n } else if (step == 0 or (step > 0 and from > to) or (step < 0 and from < to)) {\n Iter.empty()\n } else if (step > 0) {\n object {\n let stepMagnitude = Int.abs(step);\n var n = from;\n public func next() : ?Nat {\n if (n > to) {\n return null\n };\n let current = n;\n n += stepMagnitude;\n ?current\n }\n }\n } else {\n object {\n let stepMagnitude = Int.abs(step);\n var n = from;\n var done = false;\n public func next() : ?Nat {\n if (done) {\n null\n } else {\n let current = n;\n if (n < to + stepMagnitude) {\n done := true\n } else {\n n -= stepMagnitude\n };\n ?current\n }\n }\n }\n }\n };\n\n /// Returns an infinite iterator over all possible `Nat` values.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter = object {\n var n = 0;\n public func next() : ?Nat {\n let current = n;\n n += 1;\n ?current\n }\n };\n\n}\n"},"Principal.mo":{"content":"/// Module for interacting with Principals (users and canisters).\n///\n/// Principals are used to identify entities that can interact with the Internet\n/// Computer. These entities are either users or canisters.\n///\n/// Example textual representation of Principals:\n///\n/// `un4fu-tqaaa-aaaab-qadjq-cai`\n///\n/// In Motoko, there is a primitive Principal type called `Principal`. As an example\n/// of where you might see Principals, you can access the Principal of the\n/// caller of your shared function.\n///\n/// ```motoko no-repl\n/// persistent actor {\n/// public shared(msg) func foo() {\n/// let caller : Principal = msg.caller;\n/// };\n/// }\n/// ```\n///\n/// Then, you can use this module to work with the `Principal`.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Principal \"mo:core/Principal\";\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Blob \"Blob\";\nimport Array \"Array\";\nimport VarArray \"VarArray\";\nimport Nat8 \"Nat8\";\nimport Nat32 \"Nat32\";\nimport Nat64 \"Nat64\";\nimport Text \"Text\";\nimport Types \"Types\";\n\nmodule {\n\n public type Principal = Prim.Types.Principal;\n\n /// Get the `Principal` identifier of an actor.\n ///\n /// Example:\n /// ```motoko include=import no-repl\n /// persistent actor MyCanister {\n /// func getPrincipal() : Principal {\n /// let principal = Principal.fromActor(MyCanister);\n /// }\n /// }\n /// ```\n public let fromActor : (a : actor {}) -> Principal = Prim.principalOfActor;\n\n /// Compute the Ledger account identifier of a principal. Optionally specify a sub-account.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let subAccount : Blob = \"\\4A\\8D\\3F\\2B\\6E\\01\\C8\\7D\\9E\\03\\B4\\56\\7C\\F8\\9A\\01\\D2\\34\\56\\78\\9A\\BC\\DE\\F0\\12\\34\\56\\78\\9A\\BC\\DE\\F0\";\n /// let account = Principal.toLedgerAccount(principal, ?subAccount);\n /// assert account == \"\\8C\\5C\\20\\C6\\15\\3F\\7F\\51\\E2\\0D\\0F\\0F\\B5\\08\\51\\5B\\47\\65\\63\\A9\\62\\B4\\A9\\91\\5F\\4F\\02\\70\\8A\\ED\\4F\\82\";\n /// ```\n public func toLedgerAccount(self : Principal, subAccount : ?Blob) : Blob {\n let sha224 = SHA224();\n let accountSeparator : Blob = \"\\0Aaccount-id\";\n sha224.writeBlob(accountSeparator);\n sha224.writeBlob(toBlob(self));\n switch subAccount {\n case (?subAccount) {\n sha224.writeBlob(subAccount)\n };\n case (null) {\n let defaultSubAccount = Array.tabulate(32, func _ = 0);\n sha224.writeArray(defaultSubAccount)\n }\n };\n\n let hashSum = sha224.sum();\n\n // hashBlob is a CRC32 implementation\n let crc32Bytes = nat32ToByteArray(Prim.hashBlob hashSum);\n\n Blob.fromArray(Array.concat(crc32Bytes, Blob.toArray(hashSum)))\n };\n\n /// Convert a `Principal` to its `Blob` (bytes) representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let blob = Principal.toBlob(principal);\n /// assert blob == \"\\00\\00\\00\\00\\00\\30\\00\\D3\\01\\01\";\n /// ```\n public let toBlob : (self : Principal) -> Blob = Prim.blobOfPrincipal;\n\n /// Converts a `Blob` (bytes) representation of a `Principal` to a `Principal` value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\00\\00\\00\\00\\00\\30\\00\\D3\\01\\01\" : Blob;\n /// let principal = Principal.fromBlob(blob);\n /// assert Principal.toText(principal) == \"un4fu-tqaaa-aaaab-qadjq-cai\";\n /// ```\n public let fromBlob : (self : Blob) -> Principal = Prim.principalOfBlob;\n\n /// Converts a `Principal` to its `Text` representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.toText(principal) == \"un4fu-tqaaa-aaaab-qadjq-cai\";\n /// ```\n public func toText(self : Principal) : Text = debug_show (self);\n\n /// Converts a `Text` representation of a `Principal` to a `Principal` value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.toText(principal) == \"un4fu-tqaaa-aaaab-qadjq-cai\";\n /// ```\n public func fromText(t : Text) : Principal = fromActor(actor (t));\n\n private let anonymousBlob : Blob = \"\\04\";\n\n /// Constructs and returns the anonymous principal.\n public func anonymous() : Principal = Prim.principalOfBlob(anonymousBlob);\n\n /// Checks if the given principal represents an anonymous user.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert not Principal.isAnonymous(principal);\n /// ```\n public func isAnonymous(self : Principal) : Bool = Prim.blobOfPrincipal self == anonymousBlob;\n\n /// Checks if the given principal is a canister.\n ///\n /// The last byte for opaque principal ids must be 0x01\n /// https://internetcomputer.org/docs/current/references/ic-interface-spec#principal\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.isCanister(principal);\n /// ```\n public func isCanister(self : Principal) : Bool {\n let byteArray = toByteArray(self);\n\n byteArray.size() >= 0 and byteArray.size() <= 29 and isLastByte(byteArray, 1)\n };\n\n /// Checks if the given principal is a self authenticating principal.\n /// Most of the time, this is a user principal.\n ///\n /// The last byte for user principal ids must be 0x02\n /// https://internetcomputer.org/docs/current/references/ic-interface-spec#principal\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"6rgy7-3uukz-jrj2k-crt3v-u2wjm-dmn3t-p26d6-ndilt-3gusv-75ybk-jae\");\n /// assert Principal.isSelfAuthenticating(principal);\n /// ```\n public func isSelfAuthenticating(self : Principal) : Bool {\n let byteArray = toByteArray(self);\n\n byteArray.size() == 29 and isLastByte(byteArray, 2)\n };\n\n /// Checks if the given principal is a reserved principal.\n ///\n /// The last byte for reserved principal ids must be 0x7f\n /// https://internetcomputer.org/docs/current/references/ic-interface-spec#principal\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert not Principal.isReserved(principal);\n /// ```\n public func isReserved(self : Principal) : Bool {\n let byteArray = toByteArray(self);\n\n byteArray.size() >= 0 and byteArray.size() <= 29 and isLastByte(byteArray, 127)\n };\n\n /// Checks if the given principal can control this canister.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert not Principal.isController(principal);\n /// ```\n public func isController(self : Principal) : Bool = Prim.isController self;\n\n /// Hashes the given principal by hashing its `Blob` representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.hash(principal) == 2_742_573_646;\n /// ```\n public func hash(self : Principal) : Types.Hash = Blob.hash(Prim.blobOfPrincipal(self));\n\n /// General purpose comparison function for `Principal`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `principal1` with\n /// `principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.compare(principal1, principal2) == #equal;\n /// ```\n public func compare(self : Principal, other : Principal) : {\n #less;\n #equal;\n #greater\n } {\n if (self < other) {\n #less\n } else if (self == other) {\n #equal\n } else {\n #greater\n }\n };\n\n /// Equality function for Principal types.\n /// This is equivalent to `principal1 == principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.equal(principal1, principal2);\n /// assert principal1 == principal2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.anonymous();\n /// let principal2 = Principal.fromBlob(\"\\04\");\n /// assert Principal.equal(principal1, principal2);\n /// ```\n public func equal(self : Principal, other : Principal) : Bool {\n self == other\n };\n\n /// Inequality function for Principal types.\n /// This is equivalent to `principal1 != principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.notEqual(principal1, principal2);\n /// assert not (principal1 != principal2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(self : Principal, other : Principal) : Bool {\n self != other\n };\n\n /// \"Less than\" function for Principal types.\n /// This is equivalent to `principal1 < principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.less(principal1, principal2);\n /// assert not (principal1 < principal2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(self : Principal, other : Principal) : Bool {\n self < other\n };\n\n /// \"Less than or equal to\" function for Principal types.\n /// This is equivalent to `principal1 <= principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.lessOrEqual(principal1, principal2);\n /// assert principal1 <= principal2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(self : Principal, other : Principal) : Bool {\n self <= other\n };\n\n /// \"Greater than\" function for Principal types.\n /// This is equivalent to `principal1 > principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.greater(principal1, principal2);\n /// assert not (principal1 > principal2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(self : Principal, other : Principal) : Bool {\n self > other\n };\n\n /// \"Greater than or equal to\" function for Principal types.\n /// This is equivalent to `principal1 >= principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.greaterOrEqual(principal1, principal2);\n /// assert principal1 >= principal2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(self : Principal, other : Principal) : Bool {\n self >= other\n };\n\n /**\n * SHA224 Utilities used in toAccount().\n * Utilities are not exposed as public functions.\n * Taken with permission from https://github.com/research-ag/sha2\n **/\n let K00 : Nat32 = 0x428a2f98;\n let K01 : Nat32 = 0x71374491;\n let K02 : Nat32 = 0xb5c0fbcf;\n let K03 : Nat32 = 0xe9b5dba5;\n let K04 : Nat32 = 0x3956c25b;\n let K05 : Nat32 = 0x59f111f1;\n let K06 : Nat32 = 0x923f82a4;\n let K07 : Nat32 = 0xab1c5ed5;\n let K08 : Nat32 = 0xd807aa98;\n let K09 : Nat32 = 0x12835b01;\n let K10 : Nat32 = 0x243185be;\n let K11 : Nat32 = 0x550c7dc3;\n let K12 : Nat32 = 0x72be5d74;\n let K13 : Nat32 = 0x80deb1fe;\n let K14 : Nat32 = 0x9bdc06a7;\n let K15 : Nat32 = 0xc19bf174;\n let K16 : Nat32 = 0xe49b69c1;\n let K17 : Nat32 = 0xefbe4786;\n let K18 : Nat32 = 0x0fc19dc6;\n let K19 : Nat32 = 0x240ca1cc;\n let K20 : Nat32 = 0x2de92c6f;\n let K21 : Nat32 = 0x4a7484aa;\n let K22 : Nat32 = 0x5cb0a9dc;\n let K23 : Nat32 = 0x76f988da;\n let K24 : Nat32 = 0x983e5152;\n let K25 : Nat32 = 0xa831c66d;\n let K26 : Nat32 = 0xb00327c8;\n let K27 : Nat32 = 0xbf597fc7;\n let K28 : Nat32 = 0xc6e00bf3;\n let K29 : Nat32 = 0xd5a79147;\n let K30 : Nat32 = 0x06ca6351;\n let K31 : Nat32 = 0x14292967;\n let K32 : Nat32 = 0x27b70a85;\n let K33 : Nat32 = 0x2e1b2138;\n let K34 : Nat32 = 0x4d2c6dfc;\n let K35 : Nat32 = 0x53380d13;\n let K36 : Nat32 = 0x650a7354;\n let K37 : Nat32 = 0x766a0abb;\n let K38 : Nat32 = 0x81c2c92e;\n let K39 : Nat32 = 0x92722c85;\n let K40 : Nat32 = 0xa2bfe8a1;\n let K41 : Nat32 = 0xa81a664b;\n let K42 : Nat32 = 0xc24b8b70;\n let K43 : Nat32 = 0xc76c51a3;\n let K44 : Nat32 = 0xd192e819;\n let K45 : Nat32 = 0xd6990624;\n let K46 : Nat32 = 0xf40e3585;\n let K47 : Nat32 = 0x106aa070;\n let K48 : Nat32 = 0x19a4c116;\n let K49 : Nat32 = 0x1e376c08;\n let K50 : Nat32 = 0x2748774c;\n let K51 : Nat32 = 0x34b0bcb5;\n let K52 : Nat32 = 0x391c0cb3;\n let K53 : Nat32 = 0x4ed8aa4a;\n let K54 : Nat32 = 0x5b9cca4f;\n let K55 : Nat32 = 0x682e6ff3;\n let K56 : Nat32 = 0x748f82ee;\n let K57 : Nat32 = 0x78a5636f;\n let K58 : Nat32 = 0x84c87814;\n let K59 : Nat32 = 0x8cc70208;\n let K60 : Nat32 = 0x90befffa;\n let K61 : Nat32 = 0xa4506ceb;\n let K62 : Nat32 = 0xbef9a3f7;\n let K63 : Nat32 = 0xc67178f2;\n\n let ivs : [[Nat32]] = [\n [\n // 224\n 0xc1059ed8,\n 0x367cd507,\n 0x3070dd17,\n 0xf70e5939,\n 0xffc00b31,\n 0x68581511,\n 0x64f98fa7,\n 0xbefa4fa4\n ],\n [\n // 256\n 0x6a09e667,\n 0xbb67ae85,\n 0x3c6ef372,\n 0xa54ff53a,\n 0x510e527f,\n 0x9b05688c,\n 0x1f83d9ab,\n 0x5be0cd19\n ]\n ];\n\n let rot = Nat32.bitrotRight;\n\n class SHA224() {\n let (sum_bytes, iv) = (28, 0);\n\n var s0 : Nat32 = 0;\n var s1 : Nat32 = 0;\n var s2 : Nat32 = 0;\n var s3 : Nat32 = 0;\n var s4 : Nat32 = 0;\n var s5 : Nat32 = 0;\n var s6 : Nat32 = 0;\n var s7 : Nat32 = 0;\n\n let msg : [var Nat32] = VarArray.repeat(0, 16);\n let digest = VarArray.repeat(0, sum_bytes);\n var word : Nat32 = 0;\n\n var i_msg : Nat8 = 0;\n var i_byte : Nat8 = 4;\n var i_block : Nat64 = 0;\n\n public func reset() {\n i_msg := 0;\n i_byte := 4;\n i_block := 0;\n s0 := ivs[iv][0];\n s1 := ivs[iv][1];\n s2 := ivs[iv][2];\n s3 := ivs[iv][3];\n s4 := ivs[iv][4];\n s5 := ivs[iv][5];\n s6 := ivs[iv][6];\n s7 := ivs[iv][7]\n };\n\n reset();\n\n private func writeByte(val : Nat8) : () {\n word := (word << 8) ^ Nat32.fromIntWrap(Nat8.toNat(val));\n i_byte -%= 1;\n if (i_byte == 0) {\n msg[Nat8.toNat(i_msg)] := word;\n word := 0;\n i_byte := 4;\n i_msg +%= 1;\n if (i_msg == 16) {\n process_block();\n i_msg := 0;\n i_block +%= 1\n }\n }\n };\n\n private func process_block() : () {\n let w00 = msg[0];\n let w01 = msg[1];\n let w02 = msg[2];\n let w03 = msg[3];\n let w04 = msg[4];\n let w05 = msg[5];\n let w06 = msg[6];\n let w07 = msg[7];\n let w08 = msg[8];\n let w09 = msg[9];\n let w10 = msg[10];\n let w11 = msg[11];\n let w12 = msg[12];\n let w13 = msg[13];\n let w14 = msg[14];\n let w15 = msg[15];\n let w16 = w00 +% rot(w01, 07) ^ rot(w01, 18) ^ (w01 >> 03) +% w09 +% rot(w14, 17) ^ rot(w14, 19) ^ (w14 >> 10);\n let w17 = w01 +% rot(w02, 07) ^ rot(w02, 18) ^ (w02 >> 03) +% w10 +% rot(w15, 17) ^ rot(w15, 19) ^ (w15 >> 10);\n let w18 = w02 +% rot(w03, 07) ^ rot(w03, 18) ^ (w03 >> 03) +% w11 +% rot(w16, 17) ^ rot(w16, 19) ^ (w16 >> 10);\n let w19 = w03 +% rot(w04, 07) ^ rot(w04, 18) ^ (w04 >> 03) +% w12 +% rot(w17, 17) ^ rot(w17, 19) ^ (w17 >> 10);\n let w20 = w04 +% rot(w05, 07) ^ rot(w05, 18) ^ (w05 >> 03) +% w13 +% rot(w18, 17) ^ rot(w18, 19) ^ (w18 >> 10);\n let w21 = w05 +% rot(w06, 07) ^ rot(w06, 18) ^ (w06 >> 03) +% w14 +% rot(w19, 17) ^ rot(w19, 19) ^ (w19 >> 10);\n let w22 = w06 +% rot(w07, 07) ^ rot(w07, 18) ^ (w07 >> 03) +% w15 +% rot(w20, 17) ^ rot(w20, 19) ^ (w20 >> 10);\n let w23 = w07 +% rot(w08, 07) ^ rot(w08, 18) ^ (w08 >> 03) +% w16 +% rot(w21, 17) ^ rot(w21, 19) ^ (w21 >> 10);\n let w24 = w08 +% rot(w09, 07) ^ rot(w09, 18) ^ (w09 >> 03) +% w17 +% rot(w22, 17) ^ rot(w22, 19) ^ (w22 >> 10);\n let w25 = w09 +% rot(w10, 07) ^ rot(w10, 18) ^ (w10 >> 03) +% w18 +% rot(w23, 17) ^ rot(w23, 19) ^ (w23 >> 10);\n let w26 = w10 +% rot(w11, 07) ^ rot(w11, 18) ^ (w11 >> 03) +% w19 +% rot(w24, 17) ^ rot(w24, 19) ^ (w24 >> 10);\n let w27 = w11 +% rot(w12, 07) ^ rot(w12, 18) ^ (w12 >> 03) +% w20 +% rot(w25, 17) ^ rot(w25, 19) ^ (w25 >> 10);\n let w28 = w12 +% rot(w13, 07) ^ rot(w13, 18) ^ (w13 >> 03) +% w21 +% rot(w26, 17) ^ rot(w26, 19) ^ (w26 >> 10);\n let w29 = w13 +% rot(w14, 07) ^ rot(w14, 18) ^ (w14 >> 03) +% w22 +% rot(w27, 17) ^ rot(w27, 19) ^ (w27 >> 10);\n let w30 = w14 +% rot(w15, 07) ^ rot(w15, 18) ^ (w15 >> 03) +% w23 +% rot(w28, 17) ^ rot(w28, 19) ^ (w28 >> 10);\n let w31 = w15 +% rot(w16, 07) ^ rot(w16, 18) ^ (w16 >> 03) +% w24 +% rot(w29, 17) ^ rot(w29, 19) ^ (w29 >> 10);\n let w32 = w16 +% rot(w17, 07) ^ rot(w17, 18) ^ (w17 >> 03) +% w25 +% rot(w30, 17) ^ rot(w30, 19) ^ (w30 >> 10);\n let w33 = w17 +% rot(w18, 07) ^ rot(w18, 18) ^ (w18 >> 03) +% w26 +% rot(w31, 17) ^ rot(w31, 19) ^ (w31 >> 10);\n let w34 = w18 +% rot(w19, 07) ^ rot(w19, 18) ^ (w19 >> 03) +% w27 +% rot(w32, 17) ^ rot(w32, 19) ^ (w32 >> 10);\n let w35 = w19 +% rot(w20, 07) ^ rot(w20, 18) ^ (w20 >> 03) +% w28 +% rot(w33, 17) ^ rot(w33, 19) ^ (w33 >> 10);\n let w36 = w20 +% rot(w21, 07) ^ rot(w21, 18) ^ (w21 >> 03) +% w29 +% rot(w34, 17) ^ rot(w34, 19) ^ (w34 >> 10);\n let w37 = w21 +% rot(w22, 07) ^ rot(w22, 18) ^ (w22 >> 03) +% w30 +% rot(w35, 17) ^ rot(w35, 19) ^ (w35 >> 10);\n let w38 = w22 +% rot(w23, 07) ^ rot(w23, 18) ^ (w23 >> 03) +% w31 +% rot(w36, 17) ^ rot(w36, 19) ^ (w36 >> 10);\n let w39 = w23 +% rot(w24, 07) ^ rot(w24, 18) ^ (w24 >> 03) +% w32 +% rot(w37, 17) ^ rot(w37, 19) ^ (w37 >> 10);\n let w40 = w24 +% rot(w25, 07) ^ rot(w25, 18) ^ (w25 >> 03) +% w33 +% rot(w38, 17) ^ rot(w38, 19) ^ (w38 >> 10);\n let w41 = w25 +% rot(w26, 07) ^ rot(w26, 18) ^ (w26 >> 03) +% w34 +% rot(w39, 17) ^ rot(w39, 19) ^ (w39 >> 10);\n let w42 = w26 +% rot(w27, 07) ^ rot(w27, 18) ^ (w27 >> 03) +% w35 +% rot(w40, 17) ^ rot(w40, 19) ^ (w40 >> 10);\n let w43 = w27 +% rot(w28, 07) ^ rot(w28, 18) ^ (w28 >> 03) +% w36 +% rot(w41, 17) ^ rot(w41, 19) ^ (w41 >> 10);\n let w44 = w28 +% rot(w29, 07) ^ rot(w29, 18) ^ (w29 >> 03) +% w37 +% rot(w42, 17) ^ rot(w42, 19) ^ (w42 >> 10);\n let w45 = w29 +% rot(w30, 07) ^ rot(w30, 18) ^ (w30 >> 03) +% w38 +% rot(w43, 17) ^ rot(w43, 19) ^ (w43 >> 10);\n let w46 = w30 +% rot(w31, 07) ^ rot(w31, 18) ^ (w31 >> 03) +% w39 +% rot(w44, 17) ^ rot(w44, 19) ^ (w44 >> 10);\n let w47 = w31 +% rot(w32, 07) ^ rot(w32, 18) ^ (w32 >> 03) +% w40 +% rot(w45, 17) ^ rot(w45, 19) ^ (w45 >> 10);\n let w48 = w32 +% rot(w33, 07) ^ rot(w33, 18) ^ (w33 >> 03) +% w41 +% rot(w46, 17) ^ rot(w46, 19) ^ (w46 >> 10);\n let w49 = w33 +% rot(w34, 07) ^ rot(w34, 18) ^ (w34 >> 03) +% w42 +% rot(w47, 17) ^ rot(w47, 19) ^ (w47 >> 10);\n let w50 = w34 +% rot(w35, 07) ^ rot(w35, 18) ^ (w35 >> 03) +% w43 +% rot(w48, 17) ^ rot(w48, 19) ^ (w48 >> 10);\n let w51 = w35 +% rot(w36, 07) ^ rot(w36, 18) ^ (w36 >> 03) +% w44 +% rot(w49, 17) ^ rot(w49, 19) ^ (w49 >> 10);\n let w52 = w36 +% rot(w37, 07) ^ rot(w37, 18) ^ (w37 >> 03) +% w45 +% rot(w50, 17) ^ rot(w50, 19) ^ (w50 >> 10);\n let w53 = w37 +% rot(w38, 07) ^ rot(w38, 18) ^ (w38 >> 03) +% w46 +% rot(w51, 17) ^ rot(w51, 19) ^ (w51 >> 10);\n let w54 = w38 +% rot(w39, 07) ^ rot(w39, 18) ^ (w39 >> 03) +% w47 +% rot(w52, 17) ^ rot(w52, 19) ^ (w52 >> 10);\n let w55 = w39 +% rot(w40, 07) ^ rot(w40, 18) ^ (w40 >> 03) +% w48 +% rot(w53, 17) ^ rot(w53, 19) ^ (w53 >> 10);\n let w56 = w40 +% rot(w41, 07) ^ rot(w41, 18) ^ (w41 >> 03) +% w49 +% rot(w54, 17) ^ rot(w54, 19) ^ (w54 >> 10);\n let w57 = w41 +% rot(w42, 07) ^ rot(w42, 18) ^ (w42 >> 03) +% w50 +% rot(w55, 17) ^ rot(w55, 19) ^ (w55 >> 10);\n let w58 = w42 +% rot(w43, 07) ^ rot(w43, 18) ^ (w43 >> 03) +% w51 +% rot(w56, 17) ^ rot(w56, 19) ^ (w56 >> 10);\n let w59 = w43 +% rot(w44, 07) ^ rot(w44, 18) ^ (w44 >> 03) +% w52 +% rot(w57, 17) ^ rot(w57, 19) ^ (w57 >> 10);\n let w60 = w44 +% rot(w45, 07) ^ rot(w45, 18) ^ (w45 >> 03) +% w53 +% rot(w58, 17) ^ rot(w58, 19) ^ (w58 >> 10);\n let w61 = w45 +% rot(w46, 07) ^ rot(w46, 18) ^ (w46 >> 03) +% w54 +% rot(w59, 17) ^ rot(w59, 19) ^ (w59 >> 10);\n let w62 = w46 +% rot(w47, 07) ^ rot(w47, 18) ^ (w47 >> 03) +% w55 +% rot(w60, 17) ^ rot(w60, 19) ^ (w60 >> 10);\n let w63 = w47 +% rot(w48, 07) ^ rot(w48, 18) ^ (w48 >> 03) +% w56 +% rot(w61, 17) ^ rot(w61, 19) ^ (w61 >> 10);\n\n /*\n for ((i, j, k, l, m) in expansion_rounds.values()) {\n // (j,k,l,m) = (i+1,i+9,i+14,i+16)\n let (v0, v1) = (msg[j], msg[l]);\n let s0 = rot(v0, 07) ^ rot(v0, 18) ^ (v0 >> 03);\n let s1 = rot(v1, 17) ^ rot(v1, 19) ^ (v1 >> 10);\n msg[m] := msg[i] +% s0 +% msg[k] +% s1;\n };\n */\n // compress\n var a = s0;\n var b = s1;\n var c = s2;\n var d = s3;\n var e = s4;\n var f = s5;\n var g = s6;\n var h = s7;\n var t = 0 : Nat32;\n\n t := h +% K00 +% w00 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K01 +% w01 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K02 +% w02 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K03 +% w03 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K04 +% w04 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K05 +% w05 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K06 +% w06 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K07 +% w07 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K08 +% w08 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K09 +% w09 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K10 +% w10 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K11 +% w11 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K12 +% w12 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K13 +% w13 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K14 +% w14 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K15 +% w15 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K16 +% w16 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K17 +% w17 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K18 +% w18 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K19 +% w19 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K20 +% w20 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K21 +% w21 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K22 +% w22 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K23 +% w23 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K24 +% w24 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K25 +% w25 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K26 +% w26 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K27 +% w27 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K28 +% w28 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K29 +% w29 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K30 +% w30 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K31 +% w31 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K32 +% w32 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K33 +% w33 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K34 +% w34 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K35 +% w35 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K36 +% w36 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K37 +% w37 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K38 +% w38 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K39 +% w39 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K40 +% w40 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K41 +% w41 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K42 +% w42 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K43 +% w43 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K44 +% w44 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K45 +% w45 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K46 +% w46 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K47 +% w47 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K48 +% w48 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K49 +% w49 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K50 +% w50 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K51 +% w51 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K52 +% w52 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K53 +% w53 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K54 +% w54 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K55 +% w55 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K56 +% w56 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K57 +% w57 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K58 +% w58 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K59 +% w59 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K60 +% w60 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K61 +% w61 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K62 +% w62 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K63 +% w63 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n\n /*\n for (i in compression_rounds.keys()) {\n let ch = (e & f) ^ (^ e & g);\n let maj = (a & b) ^ (a & c) ^ (b & c);\n let sigma0 = rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n let sigma1 = rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n let t = h +% K[i] +% msg[i] +% ch +% sigma1;\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% maj +% sigma0;\n };\n */\n // final addition\n s0 +%= a;\n s1 +%= b;\n s2 +%= c;\n s3 +%= d;\n s4 +%= e;\n s5 +%= f;\n s6 +%= g;\n s7 +%= h\n };\n\n public func writeIter(iter : { next() : ?Nat8 }) : () {\n label reading loop {\n switch (iter.next()) {\n case (?val) {\n writeByte(val);\n continue reading\n };\n case (null) {\n break reading\n }\n }\n }\n };\n\n public func writeArray(arr : [Nat8]) : () = writeIter(arr.vals());\n public func writeBlob(blob : Blob) : () = writeIter(blob.vals());\n\n public func sum() : Blob {\n // calculate padding\n // t = bytes in the last incomplete block (0-63)\n let t : Nat8 = (i_msg << 2) +% 4 -% i_byte;\n // p = length of padding (1-64)\n var p : Nat8 = if (t < 56) (56 -% t) else (120 -% t);\n // n_bits = length of message in bits\n let n_bits : Nat64 = ((i_block << 6) +% Nat64.fromIntWrap(Nat8.toNat(t))) << 3;\n\n // write padding\n writeByte(0x80);\n p -%= 1;\n while (p != 0) {\n writeByte(0x00);\n p -%= 1\n };\n\n // write length (8 bytes)\n // Note: this exactly fills the block buffer, hence process_block will get\n // triggered by the last writeByte\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 56) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 48) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 40) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 32) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 24) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 16) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 8) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat(n_bits & 0xff)));\n\n // retrieve sum\n digest[0] := Nat8.fromIntWrap(Nat32.toNat((s0 >> 24) & 0xff));\n digest[1] := Nat8.fromIntWrap(Nat32.toNat((s0 >> 16) & 0xff));\n digest[2] := Nat8.fromIntWrap(Nat32.toNat((s0 >> 8) & 0xff));\n digest[3] := Nat8.fromIntWrap(Nat32.toNat(s0 & 0xff));\n digest[4] := Nat8.fromIntWrap(Nat32.toNat((s1 >> 24) & 0xff));\n digest[5] := Nat8.fromIntWrap(Nat32.toNat((s1 >> 16) & 0xff));\n digest[6] := Nat8.fromIntWrap(Nat32.toNat((s1 >> 8) & 0xff));\n digest[7] := Nat8.fromIntWrap(Nat32.toNat(s1 & 0xff));\n digest[8] := Nat8.fromIntWrap(Nat32.toNat((s2 >> 24) & 0xff));\n digest[9] := Nat8.fromIntWrap(Nat32.toNat((s2 >> 16) & 0xff));\n digest[10] := Nat8.fromIntWrap(Nat32.toNat((s2 >> 8) & 0xff));\n digest[11] := Nat8.fromIntWrap(Nat32.toNat(s2 & 0xff));\n digest[12] := Nat8.fromIntWrap(Nat32.toNat((s3 >> 24) & 0xff));\n digest[13] := Nat8.fromIntWrap(Nat32.toNat((s3 >> 16) & 0xff));\n digest[14] := Nat8.fromIntWrap(Nat32.toNat((s3 >> 8) & 0xff));\n digest[15] := Nat8.fromIntWrap(Nat32.toNat(s3 & 0xff));\n digest[16] := Nat8.fromIntWrap(Nat32.toNat((s4 >> 24) & 0xff));\n digest[17] := Nat8.fromIntWrap(Nat32.toNat((s4 >> 16) & 0xff));\n digest[18] := Nat8.fromIntWrap(Nat32.toNat((s4 >> 8) & 0xff));\n digest[19] := Nat8.fromIntWrap(Nat32.toNat(s4 & 0xff));\n digest[20] := Nat8.fromIntWrap(Nat32.toNat((s5 >> 24) & 0xff));\n digest[21] := Nat8.fromIntWrap(Nat32.toNat((s5 >> 16) & 0xff));\n digest[22] := Nat8.fromIntWrap(Nat32.toNat((s5 >> 8) & 0xff));\n digest[23] := Nat8.fromIntWrap(Nat32.toNat(s5 & 0xff));\n digest[24] := Nat8.fromIntWrap(Nat32.toNat((s6 >> 24) & 0xff));\n digest[25] := Nat8.fromIntWrap(Nat32.toNat((s6 >> 16) & 0xff));\n digest[26] := Nat8.fromIntWrap(Nat32.toNat((s6 >> 8) & 0xff));\n digest[27] := Nat8.fromIntWrap(Nat32.toNat(s6 & 0xff));\n\n return Blob.fromVarArray(digest)\n }\n }; // class SHA224\n\n func nat32ToByteArray(n : Nat32) : [Nat8] {\n func byte(n : Nat32) : Nat8 {\n Nat8.fromNat(Nat32.toNat(n & 0xff))\n };\n [byte(n >> 24), byte(n >> 16), byte(n >> 8), byte(n)]\n };\n\n func toByteArray(p : Principal) : [Nat8] = Blob.toArray(toBlob(p));\n\n func isLastByte(byteArray : [Nat8], byte : Nat8) : Bool {\n let size = byteArray.size();\n size > 0 and byteArray[size - 1] == byte\n }\n}\n"},"Text.mo":{"content":"/// Utility functions for `Text` values.\n///\n/// A `Text` value represents human-readable text as a sequence of characters of type `Char`.\n///\n/// ```motoko\n/// let text = \"Hello!\";\n/// let size = text.size();\n/// assert size == 6;\n/// let iter = text.chars();\n/// assert iter.next() == ?'H';\n/// assert iter.next() == ?'e';\n/// assert iter.next() == ?'l';\n/// assert iter.next() == ?'l';\n/// assert iter.next() == ?'o';\n/// assert iter.next() == ?'!';\n/// assert iter.next() == null;\n/// let concat = text # \" 👋\";\n/// assert concat == \"Hello! 👋\";\n/// ```\n///\n/// The `\"mo:core/Text\"` module defines additional operations on `Text` values.\n///\n/// Import the module from the core package:\n///\n/// ```motoko name=import\n/// import Text \"mo:core/Text\";\n/// ```\n///\n/// Note: `Text` values are represented as ropes of UTF-8 character sequences with O(1) concatenation.\n///\n\nimport Char \"Char\";\nimport Iter \"Iter\";\nimport Stack \"Stack\";\nimport Types \"Types\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// The type corresponding to primitive `Text` values.\n ///\n /// ```motoko\n /// let hello = \"Hello!\";\n /// let emoji = \"👋\";\n /// let concat = hello # \" \" # emoji;\n /// assert concat == \"Hello! 👋\";\n /// ```\n public type Text = Prim.Types.Text;\n\n /// Converts the given `Char` to a `Text` value.\n ///\n /// ```motoko include=import\n /// let text = Text.fromChar('A');\n /// assert text == \"A\";\n /// ```\n public let fromChar : (c : Char) -> Text = Prim.charToText;\n\n /// Converts the given `[Char]` to a `Text` value.\n ///\n /// ```motoko include=import\n /// let text = Text.fromArray(['A', 'v', 'o', 'c', 'a', 'd', 'o']);\n /// assert text == \"Avocado\";\n /// ```\n ///\n /// Runtime: O(a.size())\n /// Space: O(a.size())\n public func fromArray(a : [Char]) : Text = fromIter(a.vals());\n\n /// Converts the given `[var Char]` to a `Text` value.\n ///\n /// ```motoko include=import\n /// let text = Text.fromVarArray([var 'E', 'g', 'g', 'p', 'l', 'a', 'n', 't']);\n /// assert text == \"Eggplant\";\n /// ```\n ///\n /// Runtime: O(a.size())\n /// Space: O(a.size())\n public func fromVarArray(a : [var Char]) : Text = fromIter(a.vals());\n\n /// Iterates over each `Char` value in the given `Text`.\n ///\n /// Equivalent to calling the `t.chars()` method where `t` is a `Text` value.\n ///\n /// ```motoko include=import\n /// let chars = Text.toIter(\"abc\");\n /// assert chars.next() == ?'a';\n /// assert chars.next() == ?'b';\n /// assert chars.next() == ?'c';\n /// assert chars.next() == null;\n /// ```\n public func toIter(self : Text) : Iter.Iter = self.chars();\n\n /// Collapses the characters in `text` into a single value by starting with `base`\n /// and progessively combining characters into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// ```motoko include=import\n ///\n /// let text = \"Mississippi\";\n /// let count =\n /// Text.foldLeft(\n /// text,\n /// 0, // start the sum at 0\n /// func(ss, c) = if (c == 's') ss + 1 else ss\n /// );\n /// assert count == 4;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : Text, base : A, combine : (A, Char) -> A) : A {\n var acc = base;\n for (c in self.chars()) acc := combine(acc, c);\n acc\n };\n\n /// Creates a new `Array` containing characters of the given `Text`.\n ///\n /// Equivalent to `Iter.toArray(t.chars())`.\n ///\n /// ```motoko include=import\n /// assert Text.toArray(\"Café\") == ['C', 'a', 'f', 'é'];\n /// ```\n ///\n /// Runtime: O(t.size())\n /// Space: O(t.size())\n public func toArray(self : Text) : [Char] {\n let cs = self.chars();\n // We rely on Array_tabulate's implementation details: it fills\n // the array from left to right sequentially.\n Prim.Array_tabulate(\n self.size(),\n func _ {\n switch (cs.next()) {\n case (?c) { c };\n case null { Prim.trap(\"Text.toArray()\") }\n }\n }\n )\n };\n\n /// Creates a new mutable `Array` containing characters of the given `Text`.\n ///\n /// Equivalent to `Iter.toArrayMut(t.chars())`.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Char \"mo:core/Char\";\n ///\n /// assert VarArray.equal(Text.toVarArray(\"Café\"), [var 'C', 'a', 'f', 'é'], Char.equal);\n /// ```\n ///\n /// Runtime: O(t.size())\n /// Space: O(t.size())\n public func toVarArray(self : Text) : [var Char] {\n let n = self.size();\n if (n == 0) {\n return [var]\n };\n let array = Prim.Array_init(n, ' ');\n var i = 0;\n for (c in self.chars()) {\n array[i] := c;\n i += 1\n };\n array\n };\n\n /// Creates a `Text` value from a `Char` iterator.\n ///\n /// ```motoko include=import\n /// let text = Text.fromIter(['a', 'b', 'c'].values());\n /// assert text == \"abc\";\n /// ```\n public func fromIter(cs : Iter.Iter) : Text {\n var r = \"\";\n for (c in cs) {\n r #= Prim.charToText(c)\n };\n return r\n };\n\n /// Returns whether the given `Text` is empty (has a size of zero).\n ///\n /// ```motoko include=import\n /// let text1 = \"\";\n /// let text2 = \"example\";\n /// assert Text.isEmpty(text1);\n /// assert not Text.isEmpty(text2);\n /// ```\n public func isEmpty(self : Text) : Bool = self == \"\";\n\n /// Returns the number of characters in the given `Text`.\n ///\n /// Equivalent to calling `t.size()` where `t` is a `Text` value.\n ///\n /// ```motoko include=import\n /// let size = Text.size(\"abc\");\n /// assert size == 3;\n /// ```\n public func size(self : Text) : Nat = self.size();\n\n /// Returns `t1 # t2`, where `#` is the `Text` concatenation operator.\n ///\n /// ```motoko include=import\n /// let a = \"Hello\";\n /// let b = \"There\";\n /// let together = a # b;\n /// assert together == \"HelloThere\";\n /// let withSpace = a # \" \" # b;\n /// assert withSpace == \"Hello There\";\n /// let togetherAgain = Text.concat(a, b);\n /// assert togetherAgain == \"HelloThere\";\n /// ```\n public func concat(self : Text, other : Text) : Text = self # other;\n\n /// Returns a new `Text` with the characters of the input `Text` in reverse order.\n ///\n /// ```motoko include=import\n /// let text = Text.reverse(\"Hello\");\n /// assert text == \"olleH\";\n /// ```\n ///\n /// Runtime: O(t.size())\n /// Space: O(t.size())\n public func reverse(self : Text) : Text {\n fromIter(Iter.reverse(self.chars()))\n };\n\n /// Returns true if two text values are equal.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.equal(\"hello\", \"hello\");\n /// assert not Text.equal(\"hello\", \"world\");\n /// ```\n public func equal(self : Text, other : Text) : Bool { self == other };\n\n /// Returns true if two text values are not equal.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.notEqual(\"hello\", \"world\");\n /// assert not Text.notEqual(\"hello\", \"hello\");\n /// ```\n public func notEqual(self : Text, other : Text) : Bool { self != other };\n\n /// Returns true if the first text value is lexicographically less than the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.less(\"apple\", \"banana\");\n /// assert not Text.less(\"banana\", \"apple\");\n /// ```\n public func less(self : Text, other : Text) : Bool { self < other };\n\n /// Returns true if the first text value is lexicographically less than or equal to the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.lessOrEqual(\"apple\", \"banana\");\n /// assert Text.lessOrEqual(\"apple\", \"apple\");\n /// assert not Text.lessOrEqual(\"banana\", \"apple\");\n /// ```\n public func lessOrEqual(self : Text, other : Text) : Bool { self <= other };\n\n /// Returns true if the first text value is lexicographically greater than the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.greater(\"banana\", \"apple\");\n /// assert not Text.greater(\"apple\", \"banana\");\n /// ```\n public func greater(self : Text, other : Text) : Bool { self > other };\n\n /// Returns true if the first text value is lexicographically greater than or equal to the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.greaterOrEqual(\"banana\", \"apple\");\n /// assert Text.greaterOrEqual(\"apple\", \"apple\");\n /// assert not Text.greaterOrEqual(\"apple\", \"banana\");\n /// ```\n public func greaterOrEqual(self : Text, other : Text) : Bool { self >= other };\n\n /// Compares `t1` and `t2` lexicographically.\n ///\n /// ```motoko include=import\n /// assert Text.compare(\"abc\", \"abc\") == #equal;\n /// assert Text.compare(\"abc\", \"def\") == #less;\n /// assert Text.compare(\"abc\", \"ABC\") == #greater;\n /// ```\n public func compare(self : Text, other : Text) : Order.Order {\n let c = Prim.textCompare(self, other);\n if (c < 0) #less else if (c == 0) #equal else #greater\n };\n\n private func extract(self : Text, i : Nat, j : Nat) : Text {\n let size = self.size();\n if (i == 0 and j == size) return self;\n assert (j <= size);\n let cs = self.chars();\n var r = \"\";\n var n = i;\n while (n > 0) {\n ignore cs.next();\n n -= 1\n };\n n := j;\n while (n > 0) {\n switch (cs.next()) {\n case null { assert false };\n case (?c) { r #= Prim.charToText(c) }\n };\n n -= 1\n };\n return r\n };\n\n /// Join an iterator of `Text` values with a given delimiter.\n ///\n /// ```motoko include=import\n /// let joined = Text.join([\"a\", \"b\", \"c\"].values(), \", \");\n /// assert joined == \"a, b, c\";\n /// ```\n public func join(self : Iter.Iter, sep : Text) : Text {\n var r = \"\";\n if (sep.size() == 0) {\n for (t in self) {\n r #= t\n };\n return r\n };\n let next = self.next;\n switch (next()) {\n case null { return r };\n case (?t) {\n r #= t\n }\n };\n loop {\n switch (next()) {\n case null { return r };\n case (?t) {\n r #= sep;\n r #= t\n }\n }\n }\n };\n\n /// Applies a function to each character in a `Text` value, returning the concatenated `Char` results.\n ///\n /// ```motoko include=import\n /// // Replace all occurrences of '?' with '!'\n /// let result = Text.map(\"Motoko?\", func(c) {\n /// if (c == '?') '!'\n /// else c\n /// });\n /// assert result == \"Motoko!\";\n /// ```\n public func map(self : Text, f : Char -> Char) : Text {\n var r = \"\";\n for (c in self.chars()) {\n r #= Prim.charToText(f(c))\n };\n r\n };\n\n /// Returns the result of applying `f` to each character in `ts`, concatenating the intermediate text values.\n ///\n /// ```motoko include=import\n /// // Replace all occurrences of '?' with \"!!\"\n /// let result = Text.flatMap(\"Motoko?\", func(c) {\n /// if (c == '?') \"!!\"\n /// else Text.fromChar(c)\n /// });\n /// assert result == \"Motoko!!\";\n /// ```\n public func flatMap(self : Text, f : Char -> Text) : Text {\n var r = \"\";\n for (c in self.chars()) {\n r #= f(c)\n };\n r\n };\n\n /// A pattern `p` describes a sequence of characters. A pattern has one of the following forms:\n ///\n /// * `#char c` matches the single character sequence, `c`.\n /// * `#text t` matches multi-character text sequence `t`.\n /// * `#predicate p` matches any single character sequence `c` satisfying predicate `p(c)`.\n ///\n /// A _match_ for `p` is any sequence of characters matching the pattern `p`.\n ///\n /// ```motoko include=import\n /// let charPattern = #char 'A';\n /// let textPattern = #text \"phrase\";\n /// let predicatePattern : Text.Pattern = #predicate (func(c) { c == 'A' or c == 'B' });\n /// assert Text.contains(\"A\", predicatePattern);\n /// assert Text.contains(\"B\", predicatePattern);\n /// ```\n public type Pattern = Types.Pattern;\n\n private func take(n : Nat, cs : Iter.Iter) : Iter.Iter {\n var i = n;\n object {\n public func next() : ?Char {\n if (i == 0) return null;\n i -= 1;\n return cs.next()\n }\n }\n };\n\n private func empty() : Iter.Iter {\n object {\n public func next() : ?Char = null\n }\n };\n\n private type Match = {\n /// #success on complete match\n #success;\n /// #fail(cs,c) on partial match of cs, but failing match on c\n #fail : (cs : Iter.Iter, c : Char);\n /// #empty(cs) on partial match of cs and empty stream\n #empty : (cs : Iter.Iter)\n };\n\n private func sizeOfPattern(pat : Pattern) : Nat {\n switch pat {\n case (#text(t)) { t.size() };\n case (#predicate(_) or #char(_)) { 1 }\n }\n };\n\n private func matchOfPattern(pat : Pattern) : (cs : Iter.Iter) -> Match {\n switch pat {\n case (#char(p)) {\n func(cs : Iter.Iter) : Match {\n switch (cs.next()) {\n case (?c) {\n if (p == c) {\n #success\n } else {\n #fail(empty(), c)\n }\n };\n case null { #empty(empty()) }\n }\n }\n };\n case (#predicate(p)) {\n func(cs : Iter.Iter) : Match {\n switch (cs.next()) {\n case (?c) {\n if (p(c)) {\n #success\n } else {\n #fail(empty(), c)\n }\n };\n case null { #empty(empty()) }\n }\n }\n };\n case (#text(p)) {\n func(cs : Iter.Iter) : Match {\n var i = 0;\n let ds = p.chars();\n loop {\n switch (ds.next()) {\n case (?d) {\n switch (cs.next()) {\n case (?c) {\n if (c != d) {\n return #fail(take(i, p.chars()), c)\n };\n i += 1\n };\n case null {\n return #empty(take(i, p.chars()))\n }\n }\n };\n case null { return #success }\n }\n }\n }\n }\n }\n };\n\n private class CharBuffer(cs : Iter.Iter) : Iter.Iter = {\n\n var stack : Stack.Stack<(Iter.Iter, Char)> = Stack.empty();\n\n public func pushBack(cs0 : Iter.Iter, c : Char) {\n Stack.push(stack, (cs0, c))\n };\n\n public func next() : ?Char {\n switch (Stack.peek(stack)) {\n case (?(buff, c)) {\n switch (buff.next()) {\n case null {\n ignore Stack.pop(stack);\n return ?c\n };\n case oc {\n return oc\n }\n }\n };\n case null {\n return cs.next()\n }\n }\n }\n };\n\n /// Splits the input `Text` with the specified `Pattern`.\n ///\n /// Two fields are separated by exactly one match.\n ///\n /// ```motoko include=import\n /// let words = Text.split(\"This is a sentence.\", #char ' ');\n /// assert Text.join(words, \"|\") == \"This|is|a|sentence.\";\n /// ```\n public func split(self : Text, p : Pattern) : Iter.Iter {\n let match = matchOfPattern(p);\n let cs = CharBuffer(self.chars());\n var state = 0;\n var field = \"\";\n object {\n public func next() : ?Text {\n switch state {\n case (0 or 1) {\n loop {\n switch (match(cs)) {\n case (#success) {\n let r = field;\n field := \"\";\n state := 1;\n return ?r\n };\n case (#empty(cs1)) {\n for (c in cs1) {\n field #= fromChar(c)\n };\n let r = if (state == 0 and field == \"\") {\n null\n } else {\n ?field\n };\n state := 2;\n return r\n };\n case (#fail(cs1, c)) {\n cs.pushBack(cs1, c);\n switch (cs.next()) {\n case (?ci) {\n field #= fromChar(ci)\n };\n case null {\n let r = if (state == 0 and field == \"\") {\n null\n } else {\n ?field\n };\n state := 2;\n return r\n }\n }\n }\n }\n }\n };\n case _ { return null }\n }\n }\n }\n };\n\n /// Returns a sequence of tokens from the input `Text` delimited by the specified `Pattern`, derived from start to end.\n /// A \"token\" is a non-empty maximal subsequence of `t` not containing a match for pattern `p`.\n /// Two tokens may be separated by one or more matches of `p`.\n ///\n /// ```motoko include=import\n /// let tokens = Text.tokens(\"this needs\\n an example\", #predicate (func(c) { c == ' ' or c == '\\n' }));\n /// assert Text.join(tokens, \"|\") == \"this|needs|an|example\";\n /// ```\n public func tokens(self : Text, p : Pattern) : Iter.Iter {\n let fs = split(self, p);\n object {\n public func next() : ?Text {\n switch (fs.next()) {\n case (?\"\") { next() };\n case ot { ot }\n }\n }\n }\n };\n\n /// Returns `true` if the input `Text` contains a match for the specified `Pattern`.\n ///\n /// ```motoko include=import\n /// assert Text.contains(\"Motoko\", #text \"oto\");\n /// assert not Text.contains(\"Motoko\", #text \"xyz\");\n /// ```\n public func contains(self : Text, p : Pattern) : Bool {\n let match = matchOfPattern(p);\n let cs = CharBuffer(self.chars());\n loop {\n switch (match(cs)) {\n case (#success) {\n return true\n };\n case (#empty(_cs1)) {\n return false\n };\n case (#fail(cs1, c)) {\n cs.pushBack(cs1, c);\n switch (cs.next()) {\n case null {\n return false\n };\n case _ {}; // continue\n }\n }\n }\n }\n };\n\n /// Returns `true` if the input `Text` starts with a prefix matching the specified `Pattern`.\n ///\n /// ```motoko include=import\n /// assert Text.startsWith(\"Motoko\", #text \"Mo\");\n /// ```\n public func startsWith(self : Text, p : Pattern) : Bool {\n var cs = self.chars();\n let match = matchOfPattern(p);\n switch (match(cs)) {\n case (#success) { true };\n case _ { false }\n }\n };\n\n /// Returns `true` if the input `Text` ends with a suffix matching the specified `Pattern`.\n ///\n /// ```motoko include=import\n /// assert Text.endsWith(\"Motoko\", #char 'o');\n /// ```\n public func endsWith(self : Text, p : Pattern) : Bool {\n let s2 = sizeOfPattern(p);\n if (s2 == 0) return true;\n let s1 = self.size();\n if (s2 > s1) return false;\n let match = matchOfPattern(p);\n var cs1 = self.chars();\n var diff : Nat = s1 - s2;\n while (diff > 0) {\n ignore cs1.next();\n diff -= 1\n };\n switch (match(cs1)) {\n case (#success) { true };\n case _ { false }\n }\n };\n\n /// Returns the input text `t` with all matches of pattern `p` replaced by text `r`.\n ///\n /// ```motoko include=import\n /// let result = Text.replace(\"abcabc\", #char 'a', \"A\");\n /// assert result == \"AbcAbc\";\n /// ```\n public func replace(self : Text, p : Pattern, r : Text) : Text {\n let match = matchOfPattern(p);\n let size = sizeOfPattern(p);\n let cs = CharBuffer(self.chars());\n var res = \"\";\n label l loop {\n switch (match(cs)) {\n case (#success) {\n res #= r;\n if (size > 0) {\n continue l\n }\n };\n case (#empty(cs1)) {\n for (c1 in cs1) {\n res #= fromChar(c1)\n };\n break l\n };\n case (#fail(cs1, c)) {\n cs.pushBack(cs1, c)\n }\n };\n switch (cs.next()) {\n case null {\n break l\n };\n case (?c1) {\n res #= fromChar(c1)\n }; // continue\n }\n };\n return res\n };\n\n /// Strips one occurrence of the given `Pattern` from the beginning of the input `Text`.\n /// If you want to remove multiple instances of the pattern, use `Text.trimStart()` instead.\n ///\n /// ```motoko include=import\n /// // Try to strip a nonexistent character\n /// let none = Text.stripStart(\"abc\", #char '-');\n /// assert none == null;\n /// // Strip just one '-'\n /// let one = Text.stripStart(\"--abc\", #char '-');\n /// assert one == ?\"-abc\";\n /// ```\n public func stripStart(self : Text, p : Pattern) : ?Text {\n let s = sizeOfPattern(p);\n if (s == 0) return ?self;\n var cs = self.chars();\n let match = matchOfPattern(p);\n switch (match(cs)) {\n case (#success) return ?fromIter(cs);\n case _ return null\n }\n };\n\n /// Strips one occurrence of the given `Pattern` from the end of the input `Text`.\n /// If you want to remove multiple instances of the pattern, use `Text.trimEnd()` instead.\n ///\n /// ```motoko include=import\n /// // Try to strip a nonexistent character\n /// let none = Text.stripEnd(\"xyz\", #char '-');\n /// assert none == null;\n /// // Strip just one '-'\n /// let one = Text.stripEnd(\"xyz--\", #char '-');\n /// assert one == ?\"xyz-\";\n /// ```\n public func stripEnd(self : Text, p : Pattern) : ?Text {\n let s2 = sizeOfPattern(p);\n if (s2 == 0) return ?self;\n let s1 = self.size();\n if (s2 > s1) return null;\n let match = matchOfPattern(p);\n var cs1 = self.chars();\n var diff : Nat = s1 - s2;\n while (diff > 0) {\n ignore cs1.next();\n diff -= 1\n };\n switch (match(cs1)) {\n case (#success) return ?extract(self, 0, s1 - s2);\n case _ return null\n }\n };\n\n /// Trims the given `Pattern` from the start of the input `Text`.\n /// If you only want to remove a single instance of the pattern, use `Text.stripStart()` instead.\n ///\n /// ```motoko include=import\n /// let trimmed = Text.trimStart(\"---abc\", #char '-');\n /// assert trimmed == \"abc\";\n /// ```\n public func trimStart(self : Text, p : Pattern) : Text {\n let cs = self.chars();\n let size = sizeOfPattern(p);\n if (size == 0) return self;\n var matchSize = 0;\n let match = matchOfPattern(p);\n loop {\n switch (match(cs)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(cs1)) {\n return if (matchSize == 0) {\n self\n } else {\n fromIter(cs1)\n }\n };\n case (#fail(cs1, c)) {\n return if (matchSize == 0) {\n self\n } else {\n fromIter(cs1) # fromChar(c) # fromIter(cs)\n }\n }\n }\n }\n };\n\n /// Trims the given `Pattern` from the end of the input `Text`.\n /// If you only want to remove a single instance of the pattern, use `Text.stripEnd()` instead.\n ///\n /// ```motoko include=import\n /// let trimmed = Text.trimEnd(\"xyz---\", #char '-');\n /// assert trimmed == \"xyz\";\n /// ```\n public func trimEnd(self : Text, p : Pattern) : Text {\n let cs = CharBuffer(self.chars());\n let size = sizeOfPattern(p);\n if (size == 0) return self;\n let match = matchOfPattern(p);\n var matchSize = 0;\n label l loop {\n switch (match(cs)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(cs1)) {\n switch (cs1.next()) {\n case null break l;\n case (?_) return self\n }\n };\n case (#fail(cs1, c)) {\n matchSize := 0;\n cs.pushBack(cs1, c);\n ignore cs.next()\n }\n }\n };\n extract(self, 0, self.size() - matchSize)\n };\n\n /// Trims the given `Pattern` from both the start and end of the input `Text`.\n ///\n /// ```motoko include=import\n /// let trimmed = Text.trim(\"---abcxyz---\", #char '-');\n /// assert trimmed == \"abcxyz\";\n /// ```\n public func trim(self : Text, p : Pattern) : Text {\n let cs = self.chars();\n let size = sizeOfPattern(p);\n if (size == 0) return self;\n var matchSize = 0;\n let match = matchOfPattern(p);\n loop {\n switch (match(cs)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(cs1)) {\n return if (matchSize == 0) { self } else { fromIter(cs1) }\n };\n case (#fail(cs1, c)) {\n let start = matchSize;\n let cs2 = CharBuffer(cs);\n cs2.pushBack(cs1, c);\n ignore cs2.next();\n matchSize := 0;\n label l loop {\n switch (match(cs2)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(_cs3)) {\n switch (cs1.next()) {\n case null break l;\n case (?_) return self\n }\n };\n case (#fail(cs3, c1)) {\n matchSize := 0;\n cs2.pushBack(cs3, c1);\n ignore cs2.next()\n }\n }\n };\n return extract(self, start, self.size() - matchSize - start)\n }\n }\n }\n };\n\n /// Compares `t1` and `t2` using the provided character-wise comparison function.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// assert Text.compareWith(\"abc\", \"ABC\", func(c1, c2) { Char.compare(c1, c2) }) == #greater;\n /// ```\n public func compareWith(\n self : Text,\n other : Text,\n compare : (Char, Char) -> Order.Order\n ) : Order.Order {\n let cs1 = self.chars();\n let cs2 = other.chars();\n loop {\n switch (cs1.next(), cs2.next()) {\n case (null, null) { return #equal };\n case (null, ?_) { return #less };\n case (?_, null) { return #greater };\n case (?c1, ?c2) {\n switch (compare(c1, c2)) {\n case (#equal) {}; // continue\n case other { return other }\n }\n }\n }\n }\n };\n\n /// Returns a UTF-8 encoded `Blob` from the given `Text`.\n ///\n /// ```motoko include=import\n /// let blob = Text.encodeUtf8(\"Hello\");\n /// assert blob == \"\\48\\65\\6C\\6C\\6F\";\n /// ```\n public let encodeUtf8 : (self : Text) -> Blob = Prim.encodeUtf8;\n\n /// Tries to decode the given `Blob` as UTF-8.\n /// Returns `null` if the blob is not valid UTF-8.\n ///\n /// ```motoko include=import\n /// let text = Text.decodeUtf8(\"\\48\\65\\6C\\6C\\6F\");\n /// assert text == ?\"Hello\";\n /// ```\n public let decodeUtf8 : (self : Blob) -> ?Text = Prim.decodeUtf8;\n\n /// Returns the text argument in lowercase.\n /// WARNING: Unicode compliant only when compiled, not interpreted.\n ///\n /// ```motoko include=import\n /// let text = Text.toLower(\"Good Day\");\n /// assert text == \"good day\";\n /// ```\n public let toLower : (self : Text) -> Text = Prim.textLowercase;\n\n /// Returns the text argument in uppercase. Unicode compliant.\n /// WARNING: Unicode compliant only when compiled, not interpreted.\n ///\n /// ```motoko include=import\n /// let text = Text.toUpper(\"Good Day\");\n /// assert text == \"GOOD DAY\";\n /// ```\n public let toUpper : (self : Text) -> Text = Prim.textUppercase;\n\n /// Returns the given text value unchanged.\n /// This function is provided for consistency with other modules.\n ///\n /// ```motoko include=import\n /// assert Text.toText(\"Hello\") == \"Hello\";\n /// ```\n public func toText(self : Text) : Text = self\n\n}\n"},"pure/Queue.mo":{"content":"/// Double-ended queue of a generic element type `T`.\n///\n/// The interface is purely functional, not imperative, and queues are immutable values.\n/// In particular, Queue operations such as push and pop do not update their input queue but, instead, return the\n/// value of the modified Queue, alongside any other data.\n/// The input queue is left unchanged.\n///\n/// Examples of use-cases:\n/// Queue (FIFO) by using `pushBack()` and `popFront()`.\n/// Stack (LIFO) by using `pushFront()` and `popFront()`.\n///\n/// A Queue is internally implemented as two lists, a head access list and a (reversed) tail access list,\n/// that are dynamically size-balanced by splitting.\n///\n/// Construction: Create a new queue with the `empty()` function.\n///\n/// Note on the costs of push and pop functions:\n/// * Runtime: `O(1)` amortized costs, `O(size)` worst case cost per single call.\n/// * Space: `O(1)` amortized costs, `O(size)` worst case cost per single call.\n///\n/// `n` denotes the number of elements stored in the queue.\n///\n/// Note that some operations that traverse the elements of the queue (e.g. `forEach`, `values`) preserve the order of the elements,\n/// whereas others (e.g. `map`, `contains`) do NOT guarantee that the elements are visited in any order.\n/// The order is undefined to avoid allocations, making these operations more efficient.\n///\n/// ```motoko name=import\n/// import Queue \"mo:core/pure/Queue\";\n/// ```\n\nimport Iter \"../Iter\";\nimport List \"List\";\nimport Order \"../Order\";\nimport Types \"../Types\";\nimport Array \"../Array\";\nimport Prim \"mo:⛔\";\n\nmodule {\n /// @deprecated M0235\n type List = Types.Pure.List;\n\n /// Double-ended queue data type.\n public type Queue = Types.Pure.Queue;\n\n /// Create a new empty queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func empty() : Queue = (null, 0, null);\n\n /// Determine whether a queue is empty.\n /// Returns true if `queue` is empty, otherwise `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func isEmpty(self : Queue) : Bool = self.1 == 0;\n\n /// Create a new queue comprising a single element.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(25);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func singleton(item : T) : Queue = (null, 1, ?(item, null));\n\n /// Determine the number of elements contained in a queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(42);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` in Release profile (compiled with `--release` flag), `O(size)` otherwise.\n ///\n /// Space: `O(1)`.\n public func size(self : Queue) : Nat {\n debug assert self.1 == List.size(self.0) + List.size(self.2);\n self.1\n };\n\n /// Check if a queue contains a specific element.\n /// Returns true if the queue contains an element equal to `item` according to the `equal` function.\n ///\n /// Note: The order in which elements are visited is undefined, for performance reasons.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.contains(queue, Nat.equal, 2);\n /// assert not Queue.contains(queue, Nat.equal, 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func contains(self : Queue, equal : (implicit : (T, T) -> Bool), item : T) : Bool = List.contains(self.0, equal, item) or List.contains(self.2, equal, item);\n\n /// Inspect the optional element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the front element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekFront(self : Queue) : ?T = switch self {\n case ((?(x, _), _, _) or (_, _, ?(x, null))) ?x;\n case _ { debug assert List.isEmpty(self.2); null }\n };\n\n /// Inspect the optional element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the back element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.peekBack(queue) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekBack(self : Queue) : ?T = switch self {\n case ((_, _, ?(x, _)) or (?(x, null), _, _)) ?x;\n case _ { debug assert List.isEmpty(self.0); null }\n };\n\n // helper to rebalance the queue after getting lopsided\n func check(q : Queue) : Queue {\n switch q {\n case (null, n, r) {\n let (a, b) = List.split(r, n / 2);\n (List.reverse b, n, a)\n };\n case (f, n, null) {\n let (a, b) = List.split(f, n / 2);\n (a, n, List.reverse b)\n };\n case q q\n }\n };\n\n /// Insert a new element on the front end of a queue.\n /// Returns the new queue with `element` in the front followed by the elements of `queue`.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func pushFront(self : Queue, element : T) : Queue = check(?(element, self.0), self.1 + 1, self.2);\n\n /// Insert a new element on the back end of a queue.\n /// Returns the new queue with all the elements of `queue`, followed by `element` on the back.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func pushBack(self : Queue, element : T) : Queue = check(self.0, self.1 + 1, ?(element, self.2));\n\n /// Remove the element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// the first element and a new queue that contains all the remaining elements of `queue`.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// // initial queue with elements [1, 2]\n /// switch (Queue.popFront(initial)) {\n /// case null Runtime.trap \"Empty queue impossible\";\n /// case (?(frontElement, remainingQueue)) {\n /// assert frontElement == 1;\n /// assert Queue.size(remainingQueue) == 1\n /// }\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func popFront(self : Queue) : ?(T, Queue) = if (self.1 == 0) null else switch self {\n case (?(i, f), n, b) ?(i, (f, n - 1, b));\n case (null, _, ?(i, null)) ?(i, (null, 0, null));\n case _ popFront(check self)\n };\n\n /// Remove the element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// a new queue that contains the remaining elements of `queue`\n /// and, as the second pair item, the removed back element.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// // initial queue with elements [1, 2]\n /// let reduced = Queue.popBack(initial);\n /// switch reduced {\n /// case null Runtime.trap(\"Empty queue impossible\");\n /// case (?result) {\n /// let reducedQueue = result.0;\n /// let removedElement = result.1;\n /// assert removedElement == 2;\n /// assert Queue.size(reducedQueue) == 1;\n /// }\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func popBack(self : Queue) : ?(Queue, T) = if (self.1 == 0) null else switch self {\n case (f, n, ?(i, b)) ?((f, n - 1, b), i);\n case (?(i, null), _, null) ?((null, 0, null), i);\n case _ popBack(check self)\n };\n\n /// Turn an iterator into a queue, consuming it.\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2, 3, 4].values());\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromIter(iter : Iter.Iter) : Queue {\n let list = List.fromIter iter;\n check(list, List.size list, null)\n };\n\n /// Convert an iterator to a queue, consuming it.\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// transient let iter = [0, 1, 2, 3, 4].values();\n ///\n /// let queue = iter.toQueue();\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toQueue(self : Iter.Iter) : Queue {\n fromIter(self)\n };\n\n /// Create a queue from an array.\n /// Elements appear in the same order as in the array.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// assert Queue.size(queue) == 3;\n /// assert Queue.peekFront(queue) == ?\"A\";\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromArray(array : [T]) : Queue {\n let list = List.fromArray array;\n check(list, array.size(), null)\n };\n\n /// Create an immutable array from a queue.\n /// Elements appear in the same order as in the queue (front to back).\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// let array = Queue.toArray(queue);\n /// assert array == [\"A\", \"B\", \"C\"];\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toArray(self : Queue) : [T] {\n let iter = values(self);\n Array.tabulate(\n self.1,\n func(i) {\n switch (iter.next()) {\n case null {\n Prim.trap(\"pure/Queue.toArray: unexpected end of iterator\")\n };\n case (?value) { value }\n }\n }\n )\n };\n\n /// Convert a queue to an iterator of its elements in front-to-back order.\n ///\n /// Performance note: Creating the iterator needs `O(size)` runtime and space!\n ///\n /// Example:\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Iter.toArray(Queue.values(queue)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func values(self : Queue) : Iter.Iter = Iter.concat(List.values(self.0), List.values(List.reverse(self.2)));\n\n /// Compare two queues for equality using the provided equality function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2].values());\n /// let queue2 = Queue.fromIter([1, 2].values());\n /// let queue3 = Queue.fromIter([1, 3].values());\n /// assert Queue.equal(queue1, queue2, Nat.equal);\n /// assert not Queue.equal(queue1, queue3, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func equal(self : Queue, other : Queue, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (self.1 != other.1) {\n return false\n };\n let (iter1, iter2) = (values(self), values(other));\n loop {\n switch (iter1.next(), iter2.next()) {\n case (null, null) { return true };\n case (?v1, ?v2) {\n if (not equal(v1, v2)) { return false }\n };\n case (_, _) { return false }\n }\n }\n };\n\n /// Return true if the given predicate `f` is true for all queue\n /// elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let allGreaterThanOne = Queue.all(queue, func n = n > 1);\n /// assert not allGreaterThanOne; // false because 1 is not > 1\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func all(self : Queue, predicate : T -> Bool) : Bool {\n for (item in values self) if (not (predicate item)) return false;\n return true\n };\n\n /// Return true if there exists a queue element for which\n /// the given predicate `f` is true.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let hasGreaterThanOne = Queue.any(queue, func n = n > 1);\n /// assert hasGreaterThanOne; // true because 2 and 3 are > 1\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func any(self : Queue, predicate : T -> Bool) : Bool {\n for (item in values self) if (predicate item) return true;\n return false\n };\n\n /// Call the given function for its side effect, with each queue element in turn.\n /// The order of visiting elements is front-to-back.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// var text = \"\";\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// Queue.forEach(queue, func n = text #= n);\n /// assert text == \"ABC\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func forEach(self : Queue, f : T -> ()) = for (item in values self) f item;\n\n /// Call the given function `f` on each queue element and collect the results\n /// in a new queue.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2].values());\n /// let textQueue = Queue.map(queue, Nat.toText);\n /// assert Iter.toArray(Queue.values(textQueue)) == [\"0\", \"1\", \"2\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func map(self : Queue, f : T1 -> T2) : Queue {\n let (fr, n, b) = self;\n (List.map(fr, f), n, List.map(b, f))\n };\n\n /// Create a new queue with only those elements of the original queue for which\n /// the given function (often called the _predicate_) returns true.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2, 1].values());\n /// let filtered = Queue.filter(queue, func n = n != 1);\n /// assert Queue.size(filtered) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func filter(self : Queue, predicate : T -> Bool) : Queue {\n let (fr, _, b) = self;\n let front = List.filter(fr, predicate);\n let back = List.filter(b, predicate);\n check(front, List.size front + List.size back, back)\n };\n\n /// Call the given function on each queue element, and collect the non-null results\n /// in a new queue.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let doubled = Queue.filterMap(\n /// queue,\n /// func n = if (n > 1) ?(n * 2) else null\n /// );\n /// assert Queue.size(doubled) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func filterMap(self : Queue, f : T -> ?U) : Queue {\n let (fr, _n, b) = self;\n let front = List.filterMap(fr, f);\n let back = List.filterMap(b, f);\n check(front, List.size front + List.size back, back)\n };\n\n /// Convert a queue to its text representation using the provided conversion function.\n /// This function is meant to be used for debugging and testing purposes.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.toText(queue, Nat.toText) == \"PureQueue[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func toText(self : Queue, f : (implicit : (toText : T -> Text))) : Text {\n var text = \"PureQueue[\";\n func add(item : T) {\n if (text.size() > 10) text #= \", \";\n text #= f(item)\n };\n List.forEach(self.0, add);\n List.forEach(List.reverse(self.2), add);\n text # \"]\"\n };\n\n /// Compare two queues using lexicographic ordering specified by argument function `compareItem`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2].values());\n /// let queue2 = Queue.fromIter([1, 3].values());\n /// assert Queue.compare(queue1, queue2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that argument `compareItem` runs in `O(1)` time and space.\n public func compare(self : Queue, other : Queue, compareItem : (implicit : (compare : (T, T) -> Order.Order))) : Order.Order {\n let (i1, i2) = (values self, values other);\n loop switch (i1.next(), i2.next()) {\n case (?v1, ?v2) switch (compareItem(v1, v2)) {\n case (#equal) ();\n case c return c\n };\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater\n }\n };\n\n /// Reverse the order of elements in a queue.\n /// This operation is cheap, it does NOT require copying the elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let reversed = Queue.reverse(queue);\n /// assert Queue.peekFront(reversed) == ?3;\n /// assert Queue.peekBack(reversed) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func reverse(self : Queue) : Queue = (self.2, self.1, self.0)\n}\n"},"pure/List.mo":{"content":"/// Purely-functional, singly-linked list data structure.\n/// This module provides immutable lists with efficient prepend and traversal operations.\n///\n/// A list of type `List` is either `null` or an optional pair of a value of type `T` and a tail, itself of type `List`.\n///\n/// To use this library, import it using:\n///\n/// ```motoko name=import\n/// import List \"mo:core/pure/List\";\n/// ```\n\nimport { Array_tabulate } \"mo:⛔\";\nimport Array \"../Array\";\nimport Iter \"../Iter\";\nimport Order \"../Order\";\nimport Result \"../Result\";\nimport { trap } \"../Runtime\";\nimport Types \"../Types\";\nimport Runtime \"../Runtime\";\n\nmodule {\n\n /// @deprecated M0235\n public type List = Types.Pure.List;\n\n /// Create an empty list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.empty() == null;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func empty() : List = null;\n\n /// Check whether a list is empty and return true if the list is empty.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.isEmpty(null);\n /// assert not List.isEmpty(?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func isEmpty(self : List) : Bool = switch self {\n case null true;\n case _ false\n };\n\n /// Return the length of the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.size(list) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func size(self : List) : Nat = (\n func go(n : Nat, list : List) : Nat = switch list {\n case (?(_, t)) go(n + 1, t);\n case null n\n }\n )(0, self);\n\n /// Check whether the list contains a given value. Uses the provided equality function to compare values.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.contains(list, Nat.equal, 2);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func contains(self : List, equal : (implicit : (T, T) -> Bool), item : T) : Bool = switch self {\n case (?(h, t)) equal(h, item) or contains(t, equal, item);\n case _ false\n };\n\n /// Access any item in a list, zero-based.\n ///\n /// NOTE: Indexing into a list is a linear operation, and usually an\n /// indication that a list might not be the best data structure\n /// to use.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.get(list, 1) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func get(self : List, n : Nat) : ?T = switch self {\n case (?(h, t)) if (n == 0) ?h else get(t, n - 1 : Nat);\n case null null\n };\n\n /// Add `item` to the head of `list`, and return the new list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.pushFront(null, 0) == ?(0, null);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func pushFront(self : List, item : T) : List = ?(item, self);\n\n /// Return the last element of the list, if present.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.last(list) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func last(self : List) : ?T = switch self {\n case (?(h, null)) ?h;\n case null null;\n case (?(_, t)) last t\n };\n\n /// Remove the head of the list, returning the optioned head and the tail of the list in a pair.\n /// Returns `(null, null)` if the list is empty.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.popFront(list) == (?0, ?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func popFront(self : List) : (?T, List) = switch self {\n case null (null, null);\n case (?(h, t)) (?h, t)\n };\n\n /// Reverses the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.reverse(list) == ?(2, ?(1, ?(0, null)));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func reverse(self : List) : List = (\n func go(acc : List, list : List) : List = switch list {\n case (?(h, t)) go(?(h, acc), t);\n case null acc\n }\n )(null, self);\n\n /// Call the given function for its side effect, with each list element in turn.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// var sum = 0;\n /// List.forEach(list, func n = sum += n);\n /// assert sum == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : List, f : T -> ()) = switch self {\n case (?(h, t)) { f h; forEach(t, f) };\n case null ()\n };\n\n /// Call the given function `f` on each list element and collect the results\n /// in a new list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.map(list, Nat.toText) == ?(\"0\", ?(\"1\", ?(\"2\", null)));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func map(self : List, f : T1 -> T2) : List = (\n func go(list : List, f : T1 -> T2, acc : List) : List = switch list {\n case (?(h, t)) go(t, f, ?(f h, acc));\n case null reverse acc\n }\n )(self, f, null);\n\n /// Create a new list with only those elements of the original list for which\n /// the given function (often called the _predicate_) returns true.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.filter(list, func n = n != 1) == ?(0, ?(2, null));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func filter(self : List, f : T -> Bool) : List = (\n func go(list : List, f : T -> Bool, acc : List) : List = switch list {\n case (?(h, t)) if (f h) go(t, f, ?(h, acc)) else go(t, f, acc);\n case null reverse acc\n }\n )(self, f, null);\n\n /// Call the given function on each list element, and collect the non-null results\n /// in a new list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.filterMap(\n /// list,\n /// func n = if (n > 1) ?(n * 2) else null\n /// ) == ?(4, ?(6, null));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func filterMap(self : List, f : T -> ?R) : List = (\n func go(list : List, f : T -> ?R, acc : List) : List = switch list {\n case (?(h, t)) switch (f h) {\n case null go(t, f, acc);\n case (?r) go(t, f, ?(r, acc))\n };\n case null reverse acc\n }\n )(self, f, null);\n\n /// Maps a `Result`-returning function `f` over a `List` and returns either\n /// the first error or a list of successful values.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.mapResult(\n /// list,\n /// func n = if (n > 0) #ok(n * 2) else #err \"Some element is zero\"\n /// ) == #ok(?(2, ?(4, ?(6, null))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapResult(self : List, f : T -> Result.Result) : Result.Result, E> = (\n func rev(acc : List, list : List, f : T -> Result.Result) : Result.Result, E> = switch list {\n case (?(h, t)) switch (f h) {\n case (#ok fh) rev(?(fh, acc), t, f);\n case (#err e) #err e\n };\n case null #ok(reverse acc)\n }\n )(null, self, f);\n\n /// Create two new lists from the results of a given function (`f`).\n /// The first list only includes the elements for which the given\n /// function `f` returns true and the second list only includes\n /// the elements for which the function returns false.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.partition(list, func n = n != 1) == (?(0, ?(2, null)), ?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func partition(self : List, f : T -> Bool) : (List, List) = (\n func go(list : List, f : T -> Bool, acc1 : List, acc2 : List) : (List, List) = switch list {\n case (?(h, t)) if (f h) go(t, f, ?(h, acc1), acc2) else go(t, f, acc1, ?(h, acc2));\n case null (reverse acc1, reverse acc2)\n }\n )(self, f, null, null);\n\n /// Append the elements from one list to another list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list1 = ?(0, ?(1, ?(2, null)));\n /// let list2 = ?(3, ?(4, ?(5, null)));\n /// assert List.concat(list1, list2) == ?(0, ?(1, ?(2, ?(3, ?(4, ?(5, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size(l))\n ///\n /// Space: O(size(l))\n public func concat(self : List, other : List) : List = revAppend(reverse self, other);\n\n /// Flatten, or repatedly concatenate, an iterator of lists as a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let lists = [ ?(0, ?(1, ?(2, null))),\n /// ?(3, ?(4, ?(5, null))) ];\n /// assert List.join(lists |> Iter.fromArray(_)) == ?(0, ?(1, ?(2, ?(3, ?(4, ?(5, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size*size)\n ///\n /// Space: O(size*size)\n public func join(iter : Iter.Iter>) : List {\n var acc : List = null;\n for (list in iter) {\n acc := revAppend(list, acc)\n };\n reverse acc\n };\n\n /// Flatten, or repatedly concatenate, a list of lists as a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let lists = ?(?(0, ?(1, ?(2, null))),\n /// ?(?(3, ?(4, ?(5, null))),\n /// null));\n /// assert List.flatten(lists) == ?(0, ?(1, ?(2, ?(3, ?(4, ?(5, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size*size)\n ///\n /// Space: O(size*size)\n public func flatten(self : List>) : List = (\n func go(lists : List>, acc : List) : List = switch lists {\n case (?(list, t)) go(t, revAppend(list, acc));\n case null reverse acc\n }\n )(self, null);\n\n /// Returns the first `n` elements of the given list.\n /// If the given list has fewer than `n` elements, this function returns\n /// a copy of the full input list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.take(list, 2) == ?(0, ?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n public func take(self : List, n : Nat) : List = (\n func go(n : Nat, list : List, acc : List) : List = if (n == 0) reverse acc else switch list {\n case (?(h, t)) go(n - 1 : Nat, t, ?(h, acc));\n case null reverse acc\n }\n )(n, self, null);\n\n /// Drop the first `n` elements from the given list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.drop(list, 2) == ?(2, null);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(1)\n public func drop(self : List, n : Nat) : List = if (n == 0) self else switch self {\n case (?(_, t)) drop(t, n - 1 : Nat);\n case null null\n };\n\n /// Collapses the elements in `list` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.foldLeft(\n /// list,\n /// \"\",\n /// func (acc, x) = acc # Nat.toText(x)\n /// ) == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: O(size(list))\n ///\n /// Space: O(1) heap, O(1) stack\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : List, base : A, combine : (A, T) -> A) : A = switch self {\n case null base;\n case (?(h, t)) foldLeft(t, combine(base, h), combine)\n };\n\n /// Collapses the elements in `buffer` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.foldRight(\n /// list,\n /// \"\",\n /// func (x, acc) = Nat.toText(x) # acc\n /// ) == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: O(size(list))\n ///\n /// Space: O(1) heap, O(size(list)) stack\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldRight(self : List, base : A, combine : (T, A) -> A) : A = (\n func go(list : List, base : A, combine : (T, A) -> A) : A = switch list {\n case null base;\n case (?(h, t)) go(t, combine(h, base), combine)\n }\n )(reverse self, base, combine);\n\n /// Return the first element for which the given predicate `f` is true,\n /// if such an element exists.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.find(list, func n = n > 1) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func find(self : List, f : T -> Bool) : ?T = switch self {\n case null null;\n case (?(h, t)) if (f h) ?h else find(t, f)\n };\n\n /// Return the first index for which the given predicate `f` is true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromArray(['A', 'B', 'C', 'D']);\n /// let found = List.findIndex(list, func(x) { x == 'C' });\n /// assert found == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func findIndex(self : List, f : T -> Bool) : ?Nat {\n findIndex_(self, 0, f)\n };\n\n private func findIndex_(self : List, index : Nat, f : T -> Bool) : ?Nat = switch self {\n case null null;\n case (?(h, t)) if (f h) ?index else findIndex_(t, index + 1, f)\n };\n\n /// Return true if the given predicate `f` is true for all list\n /// elements.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert not List.all(list, func n = n > 1);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func all(self : List, f : T -> Bool) : Bool = switch self {\n case null true;\n case (?(h, t)) f h and all(t, f)\n };\n\n /// Return true if there exists a list element for which\n /// the given predicate `f` is true.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.any(list, func n = n > 1);\n /// }\n /// ```\n ///\n /// Runtime: O(size(list))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func any(self : List, f : T -> Bool) : Bool = switch self {\n case null false;\n case (?(h, t)) f h or any(t, f)\n };\n\n /// Merge two ordered lists into a single ordered list.\n /// This function requires both list to be ordered as specified\n /// by the given relation `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list1 = ?(1, ?(2, ?(4, null)));\n /// let list2 = ?(2, ?(4, ?(6, null)));\n /// assert List.merge(list1, list2, Nat.compare) == ?(1, ?(2, ?(2, ?(4, ?(4, ?(6, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size(l1) + size(l2))\n ///\n /// Space: O(size(l1) + size(l2))\n ///\n /// *Runtime and space assumes that `lessThanOrEqual` runs in O(1) time and space.\n public func merge(self : List, other : List, compare : (implicit : (T, T) -> Order.Order)) : List = (\n func go(list1 : List, list2 : List, compare : (T, T) -> Order.Order, acc : List) : List = switch (list1, list2) {\n case ((null, l) or (l, null)) reverse(revAppend(l, acc));\n case (?(h1, t1), ?(h2, t2)) switch (compare(h1, h2)) {\n case (#less or #equal) go(t1, list2, compare, ?(h1, acc));\n case (#greater) go(list1, t2, compare, ?(h2, acc))\n }\n }\n )(self, other, compare, null);\n\n /// Check if two lists are equal using the given equality function to compare elements.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list1 = ?(1, ?(2, null));\n /// let list2 = ?(1, ?(2, null));\n /// assert List.equal(list1, list2, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equalItem` runs in O(1) time and space.\n public func equal(self : List, other : List, equalItem : (implicit : (equal : (T, T) -> Bool))) : Bool = switch (self, other) {\n case (null, null) true;\n case (?(h1, t1), ?(h2, t2)) equalItem(h1, h2) and equal(t1, t2, equalItem);\n case _ false\n };\n\n /// Compare two lists using lexicographic ordering specified by argument function `compareItem`.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list1 = ?(1, ?(2, null));\n /// let list2 = ?(3, ?(4, null));\n /// assert List.compare(list1, list2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: O(size(l1))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that argument `compare` runs in O(1) time and space.\n public func compare(self : List, other : List, compareItem : (implicit : (compare : (T, T) -> Order.Order))) : Order.Order = switch (self, other) {\n case (?(h1, t1), ?(h2, t2)) switch (compareItem(h1, h2)) {\n case (#equal) compare(t1, t2, compareItem);\n case o o\n };\n case (null, null) #equal;\n case (null, _) #less;\n case _ #greater\n };\n\n /// Generate a list based on a length and a function that maps from\n /// a list index to a list element.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.tabulate(3, func n = n * 2);\n /// assert list == ?(0, ?(2, ?(4, null)));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func tabulate(n : Nat, f : Nat -> T) : List {\n var i = 0;\n var l : List = null;\n while (i < n) {\n l := ?(f i, l);\n i += 1\n };\n reverse l\n };\n\n /// Create a list with exactly one element.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.singleton(0) == ?(0, null);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func singleton(item : T) : List = ?(item, null);\n\n /// Create a list of the given length with the same value in each position.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.repeat('a', 3);\n /// assert list == ?('a', ?('a', ?('a', null)));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n public func repeat(item : T, n : Nat) : List {\n var res : List = null;\n var i : Int = n;\n while (i != 0) {\n i -= 1;\n res := ?(item, res)\n };\n res\n };\n\n /// Create a list of pairs from a pair of lists.\n ///\n /// If the given lists have different lengths, then the created list will have a\n /// length equal to the length of the smaller list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list1 = ?(0, ?(1, ?(2, null)));\n /// let list2 = ?(\"0\", ?(\"1\", null));\n /// assert List.zip(list1, list2) == ?((0, \"0\"), ?((1, \"1\"), null));\n /// }\n /// ```\n ///\n /// Runtime: O(min(size(xs), size(ys)))\n ///\n /// Space: O(min(size(xs), size(ys)))\n public func zip(self : List, other : List) : List<(T, U)> = zipWith(self, other, func(x, y) = (x, y));\n\n /// Create a list in which elements are created by applying function `f` to each pair `(x, y)` of elements\n /// occuring at the same position in list `xs` and list `ys`.\n ///\n /// If the given lists have different lengths, then the created list will have a\n /// length equal to the length of the smaller list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n /// import Char \"mo:core/Char\";\n ///\n /// persistent actor {\n /// let list1 = ?(0, ?(1, ?(2, null)));\n /// let list2 = ?('a', ?('b', null));\n /// assert List.zipWith(\n /// list1,\n /// list2,\n /// func (n, c) = Nat.toText(n) # Char.toText(c)\n /// ) == ?(\"0a\", ?(\"1b\", null));\n /// }\n /// ```\n ///\n /// Runtime: O(min(size(xs), size(ys)))\n ///\n /// Space: O(min(size(xs), size(ys)))\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func zipWith(self : List, other : List, f : (T, U) -> V) : List = (\n func go(list1 : List, list2 : List, f : (T, U) -> V, acc : List) : List = switch (list1, list2) {\n case ((null, _) or (_, null)) reverse acc;\n case (?(h1, t1), ?(h2, t2)) go(t1, t2, f, ?(f(h1, h2), acc))\n }\n )(self, other, f, null);\n\n /// Split the given list at the given zero-based index.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.split(list, 2) == (?(0, ?(1, null)), ?(2, null));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n public func split(self : List, n : Nat) : (List, List) {\n func go(n : Nat, list : List, acc : List) : (List, List) = if (n == 0) (reverse acc, list) else switch list {\n case (?(h, t)) go(n - 1 : Nat, t, ?(h, acc));\n case null (reverse acc, null)\n };\n go(n, self, null)\n };\n\n /// Split the given list into chunks of length `n`.\n /// The last chunk will be shorter if the length of the given list\n /// does not divide by `n` evenly. Traps if `n` = 0.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// assert List.chunks(list, 2) == ?(?(0, ?(1, null)), ?(?(2, ?(3, null)), ?(?(4, null), null)));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func chunks(self : List, n : Nat) : List> {\n if (n == 0) trap \"pure/List.chunks()\";\n func go(list : List, n : Nat, acc : List>) : List> = switch (split(list, n)) {\n case (null, _) reverse acc;\n case (pre, null) reverse(?(pre, acc));\n case (pre, post) go(post, n, ?(pre, acc))\n };\n go(self, n, null)\n };\n\n /// Returns an iterator to the elements in the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = List.fromArray([3, 1, 4]);\n /// var text = \"\";\n /// for (item in List.values(list)) {\n /// text #= Nat.toText(item);\n /// };\n /// assert text == \"314\";\n /// }\n /// ```\n public func values(self : List) : Iter.Iter = object {\n var l = self;\n public func next() : ?T = switch l {\n case null null;\n case (?(h, t)) {\n l := t;\n ?h\n }\n }\n };\n\n /// Returns an iterator to the `(index, element)` pairs in the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = List.fromArray([3, 1, 4]);\n /// var text = \"\";\n /// for ((index, element) in List.enumerate(list)) {\n /// text #= Nat.toText(index);\n /// };\n /// assert text == \"012\";\n /// }\n /// ```\n public func enumerate(self : List) : Iter.Iter<(Nat, T)> = object {\n var i = 0;\n var l = self;\n public func next() : ?(Nat, T) = switch l {\n case null null;\n case (?(h, t)) {\n l := t;\n let index = i;\n i += 1;\n ?(index, h)\n }\n }\n };\n\n /// Convert an array into a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromArray([0, 1, 2, 3, 4]);\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromArray(array : [T]) : List {\n func go(from : Nat) : List = if (from < array.size()) ?(array.get from, go(from + 1)) else null;\n go 0\n };\n\n /// Convert a mutable array into a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromVarArray([var 0, 1, 2, 3, 4]);\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromVarArray(array : [var T]) : List = fromArray(Array.fromVarArray(array));\n\n /// Create an array from a list.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Array \"mo:core/Array\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let array = List.toArray(?(0, ?(1, ?(2, ?(3, ?(4, null))))));\n /// assert Array.equal(array, [0, 1, 2, 3, 4], Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toArray(self : List) : [T] {\n var l = self;\n Array_tabulate(size self, func _ { let ?(h, t) = l else Runtime.trap(\"List.toArray(): unreachable\"); l := t; h })\n };\n\n /// Create a mutable array from a list.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Array \"mo:core/Array\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let array = List.toVarArray(?(0, ?(1, ?(2, ?(3, ?(4, null))))));\n /// assert Array.equal(Array.fromVarArray(array), [0, 1, 2, 3, 4], Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toVarArray(self : List) : [var T] = Array.toVarArray(toArray(self));\n\n /// Create a list from an iterator, consuming the iterator.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromIter([0, 1, 2, 3, 4].vals());\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromIter(iter : Iter.Iter) : List {\n var result : List = null;\n for (x in iter) {\n result := ?(x, result)\n };\n reverse result\n };\n\n /// Convert an iterator to a list, consuming the iterator.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// transient let iter = [0, 1, 2, 3, 4].vals();\n ///\n /// let list = iter.toList();\n ///\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toList(self : Iter.Iter) : List {\n fromIter(self)\n };\n\n /// Convert a list to a text representation using the provided function to convert each element to text.\n /// The resulting text will be in the format \"[element1, element2, ...]\".\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.toText(list, Nat.toText) == \"PureList[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toText(self : List, f : (implicit : T -> Text)) : Text {\n var text = \"PureList[\";\n var first = true;\n forEach(\n self,\n func(item : T) {\n if first {\n first := false\n } else {\n text #= \", \"\n };\n text #= f item\n }\n );\n text # \"]\"\n };\n\n // revAppend([x1 .. xn], [y1 .. ym]) = [xn .. x1, y1 .. ym]\n func revAppend(l : List, m : List) : List = switch l {\n case (?(h, t)) revAppend(t, ?(h, m));\n case null m\n }\n}\n"},"pure/RealTimeQueue.mo":{"content":"/// Double-ended immutable queue with guaranteed `O(1)` push/pop operations (caveat: high constant factor).\n/// For a default immutable queue implementation, see `pure/Queue`.\n///\n/// This module provides an alternative implementation with better worst-case performance for single operations, e.g. `pushBack` and `popFront`.\n/// These operations are always constant time, `O(1)`, which eliminates spikes in performance of `pure/Queue` operations\n/// that are caused by the amortized nature of the `pure/Queue` implementation, which can lead to `O(n)` worst-case performance for a single operation.\n/// The spikes in performance can cause a single message to take multiple more rounds to complete than most other messages.\n///\n/// However, the `O(1)` operations come at a cost of higher constant factor than the `pure/Queue` implementation:\n/// - 'pop' operations are on average 3x more expensive\n/// - 'push' operations are on average 8x more expensive\n///\n/// For better performance across multiple operations and when the spikes in single operations are not a problem, use `pure/Queue`.\n/// For guaranteed `O(1)` operations, use `pure/RealTimeQueue`.\n///\n/// ---\n///\n/// The interface is purely functional, not imperative, and queues are immutable values.\n/// In particular, Queue operations such as push and pop do not update their input queue but, instead, return the\n/// value of the modified Queue, alongside any other data.\n/// The input queue is left unchanged.\n///\n/// Examples of use-cases:\n/// - Queue (FIFO) by using `pushBack()` and `popFront()`.\n/// - Stack (LIFO) by using `pushFront()` and `popFront()`.\n/// - Deque (double-ended queue) by using any combination of push/pop operations on either end.\n///\n/// A Queue is internally implemented as a real-time double-ended queue based on the paper\n/// \"Real-Time Double-Ended Queue Verified (Proof Pearl)\". The implementation maintains\n/// worst-case constant time `O(1)` for push/pop operations through gradual rebalancing steps.\n///\n/// Construction: Create a new queue with the `empty()` function.\n///\n/// Note that some operations that traverse the elements of the queue (e.g. `forEach`, `values`) preserve the order of the elements,\n/// whereas others (e.g. `map`, `contains`) do NOT guarantee that the elements are visited in any order.\n/// The order is undefined to avoid allocations, making these operations more efficient.\n///\n/// ```motoko name=import\n/// import Queue \"mo:core/pure/RealTimeQueue\";\n/// ```\n\nimport Types \"../Types\";\nimport List \"List\";\nimport Option \"../Option\";\nimport { trap } \"../Runtime\";\nimport Iter \"../Iter\";\n\nmodule {\n /// The real-time queue data structure can be in one of the following states:\n ///\n /// - `#empty`: the queue is empty\n /// - `#one`: the queue contains a single element\n /// - `#two`: the queue contains two elements\n /// - `#three`: the queue contains three elements\n /// - `#idles`: the queue is in the idle state, where `l` and `r` are non-empty stacks of elements fulfilling the size invariant\n /// - `#rebal`: the queue is in the rebalancing state\n public type Queue = {\n #empty;\n #one : T;\n #two : (T, T);\n #three : (T, T, T);\n #idles : (Idle, Idle);\n #rebal : States\n };\n\n /// Create a new empty queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func empty() : Queue = #empty;\n\n /// Determine whether a queue is empty.\n /// Returns true if `queue` is empty, otherwise `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func isEmpty(self : Queue) : Bool = switch self {\n case (#empty) true;\n case _ false\n };\n\n /// Create a new queue comprising a single element.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(25);\n /// assert Queue.size(queue) == 1;\n /// assert Queue.peekFront(queue) == ?25;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func singleton(element : T) : Queue = #one(element);\n\n /// Determine the number of elements contained in a queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(42);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func size(self : Queue) : Nat = switch self {\n case (#empty) 0;\n case (#one _) 1;\n case (#two _) 2;\n case (#three _) 3;\n case (#idles((l, nL), (r, nR))) {\n debug assert Stacks.size(l) == nL and Stacks.size(r) == nR;\n nL + nR\n };\n case (#rebal(_, big, small)) BigState.size(big) + SmallState.size(small)\n };\n\n /// Test if a queue contains a given value.\n /// Returns true if the queue contains the item, otherwise false.\n ///\n /// Note: The order in which elements are visited is undefined, for performance reasons.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.contains(queue, Nat.equal, 1);\n /// assert not Queue.contains(queue, Nat.equal, 3);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func contains(self : Queue, equal : (implicit : (T, T) -> Bool), item : T) : Bool = switch self {\n case (#empty) false;\n case (#one(x)) equal(x, item);\n case (#two(x, y)) equal(x, item) or equal(y, item);\n case (#three(x, y, z)) equal(x, item) or equal(y, item) or equal(z, item);\n case (#idles(((l1, l2), _), ((r1, r2), _))) List.contains(l1, equal, item) or List.contains(l2, equal, item) or List.contains(r2, equal, item) or List.contains(r1, equal, item); // note that the order of the right stack is reversed, but for this operation it does not matter\n case (#rebal(_, big, small)) {\n let (extraB, _, (oldB1, oldB2), _) = BigState.current(big);\n let (extraS, _, (oldS1, oldS2), _) = SmallState.current(small);\n // note that the order of one of the stacks is reversed (depending on the `direction` field), but for this operation it does not matter\n List.contains(extraB, equal, item) or List.contains(oldB1, equal, item) or List.contains(oldB2, equal, item) or List.contains(extraS, equal, item) or List.contains(oldS1, equal, item) or List.contains(oldS2, equal, item)\n }\n };\n\n /// Inspect the optional element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the front element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekFront(self : Queue) : ?T = switch self {\n case (#idles((l, _), _)) Stacks.first(l);\n case (#rebal(dir, big, small)) switch dir {\n case (#left) ?SmallState.peek(small);\n case (#right) ?BigState.peek(big)\n };\n case (#empty) null;\n case (#one(x)) ?x;\n case (#two(x, _)) ?x;\n case (#three(x, _, _)) ?x\n };\n\n /// Inspect the optional element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the back element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekBack(queue) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekBack(self : Queue) : ?T = switch self {\n case (#idles(_, (r, _))) Stacks.first(r);\n case (#rebal(dir, big, small)) switch dir {\n case (#left) ?BigState.peek(big);\n case (#right) ?SmallState.peek(small)\n };\n case (#empty) null;\n case (#one(x)) ?x;\n case (#two(_, y)) ?y;\n case (#three(_, _, z)) ?z\n };\n\n /// Insert a new element on the front end of a queue.\n /// Returns the new queue with `element` in the front followed by the elements of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func pushFront(self : Queue, element : T) : Queue = switch self {\n case (#idles(l0, rnR)) {\n let lnL = Idle.push(l0, element); // enque the element to the left end\n // check if the size invariant still holds\n if (3 * rnR.1 >= lnL.1) {\n debug assert 3 * lnL.1 >= rnR.1;\n #idles(lnL, rnR)\n } else {\n // initiate the rebalancing process\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = nL - nR - 1 : Nat;\n let targetSizeR = 2 * nR + 1;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let big = #big1(Current.new(l, targetSizeL), l, null, targetSizeL);\n let small = #small1(Current.new(r, targetSizeR), r, null);\n let states = (#right, big, small);\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n #rebal(states6)\n }\n };\n // if the queue is in the middle of a rebalancing process: push the element and advance the rebalancing process by 4 steps\n // move back into the idle state if the rebalancing is done\n case (#rebal(dir, big0, small0)) switch dir {\n case (#right) {\n let big = BigState.push(big0, element);\n let states4 = States.step(States.step(States.step(States.step((#right, big, small0)))));\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n #idles(big, small)\n };\n case _ #rebal(states4)\n }\n };\n case (#left) {\n let small = SmallState.push(small0, element);\n let states4 = States.step(States.step(States.step(States.step((#left, big0, small)))));\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n #idles(small, big) // swapped because dir=left\n };\n case _ #rebal(states4)\n }\n }\n };\n case (#empty) #one(element);\n case (#one(y)) #two(element, y);\n case (#two(y, z)) #three(element, y, z);\n case (#three(a, b, c)) {\n let i1 = ((?(element, ?(a, null)), null), 2);\n let i2 = ((?(c, ?(b, null)), null), 2);\n #idles(i1, i2)\n }\n };\n\n /// Insert a new element on the back end of a queue.\n /// Returns the new queue with all the elements of `queue`, followed by `element` on the back.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func pushBack(self : Queue, element : T) : Queue = switch self {\n // Equivalent to: `reverse(pushFront(reverse(queue), element))`. Inlined for performance.\n case (#idles(rnR, l0)) {\n // ^ reversed input\n let lnL = Idle.push(l0, element);\n if (3 * rnR.1 >= lnL.1) {\n debug assert 3 * lnL.1 >= rnR.1;\n #idles(rnR, lnL) // reversed output\n } else {\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = nL - nR - 1 : Nat;\n let targetSizeR = 2 * nR + 1;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let big = #big1(Current.new(l, targetSizeL), l, null, targetSizeL);\n let small = #small1(Current.new(r, targetSizeR), r, null);\n let states = (#left, big, small); // reversed output\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n #rebal(states6)\n }\n };\n case (#rebal(dir, big0, small0)) switch dir {\n case (#left) {\n // ^ reversed input\n let big = BigState.push(big0, element);\n let states4 = States.step(States.step(States.step(States.step((#left, big, small0))))); // reversed output\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n #idles(small, big) // reversed output\n };\n case _ #rebal(states4)\n }\n };\n case (#right) {\n // ^ reversed input\n let small = SmallState.push(small0, element);\n let states4 = States.step(States.step(States.step(States.step((#right, big0, small))))); // reversed output\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n #idles(big, small) // reversed output\n };\n case _ #rebal(states4)\n }\n }\n };\n case (#empty) #one(element);\n case (#one(y)) #two(y, element);\n case (#two(y, z)) #three(y, z, element);\n case (#three(a, b, c)) {\n let i1 = ((?(a, ?(b, null)), null), 2);\n let i2 = ((?(element, ?(c, null)), null), 2);\n #idles(i1, i2)\n }\n };\n\n /// Remove the element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// the first element and a new queue that contains all the remaining elements of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// do {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// let ?(frontElement, remainingQueue) = Queue.popFront(initial) else Runtime.trap \"Empty queue impossible\";\n /// assert frontElement == 1;\n /// assert Queue.size(remainingQueue) == 1;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func popFront(self : Queue) : ?(T, Queue) = switch self {\n case (#idles(l0, rnR)) {\n let (x, lnL) = Idle.pop(l0);\n if (3 * lnL.1 >= rnR.1) {\n ?(x, #idles(lnL, rnR))\n } else if (lnL.1 >= 1) {\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = 2 * nL + 1;\n let targetSizeR = nR - nL - 1 : Nat;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let small = #small1(Current.new(l, targetSizeL), l, null);\n let big = #big1(Current.new(r, targetSizeR), r, null, targetSizeR);\n let states = (#left, big, small);\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n ?(x, #rebal(states6))\n } else {\n ?(x, Stacks.smallqueue(rnR.0))\n }\n };\n case (#rebal(dir, big0, small0)) switch dir {\n case (#left) {\n let (x, small) = SmallState.pop(small0);\n let states4 = States.step(States.step(States.step(States.step((#left, big0, small)))));\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n ?(x, #idles(small, big))\n };\n case _ ?(x, #rebal(states4))\n }\n };\n case (#right) {\n let (x, big) = BigState.pop(big0);\n let states4 = States.step(States.step(States.step(States.step((#right, big, small0)))));\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n ?(x, #idles(big, small))\n };\n case _ ?(x, #rebal(states4))\n }\n }\n };\n case (#empty) null;\n case (#one(x)) ?(x, #empty);\n case (#two(x, y)) ?(x, #one(y));\n case (#three(x, y, z)) ?(x, #two(y, z))\n };\n\n /// Remove the element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// a new queue that contains the remaining elements of `queue`\n /// and, as the second pair item, the removed back element.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// do {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// let ?(reducedQueue, removedElement) = Queue.popBack(initial) else Runtime.trap \"Empty queue impossible\";\n /// assert removedElement == 2;\n /// assert Queue.size(reducedQueue) == 1;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func popBack(self : Queue) : ?(Queue, T) = switch self {\n // Equivalent to:\n // = do ? { let (x, queue2) = popFront(reverse(queue))!; (reverse(queue2), x) };\n // Inlined for performance.\n case (#idles(rnR, l0)) {\n // ^ reversed input\n let (x, lnL) = Idle.pop(l0);\n if (3 * lnL.1 >= rnR.1) {\n ?(#idles(rnR, lnL), x) // reversed output\n } else if (lnL.1 >= 1) {\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = 2 * nL + 1;\n let targetSizeR = nR - nL - 1 : Nat;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let small = #small1(Current.new(l, targetSizeL), l, null);\n let big = #big1(Current.new(r, targetSizeR), r, null, targetSizeR);\n let states = (#right, big, small); // reversed output\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n ?(#rebal(states6), x)\n } else {\n ?(Stacks.smallqueueReversed(rnR.0), x) // reversed output\n }\n };\n case (#rebal(dir, big0, small0)) switch dir {\n case (#right) {\n // ^ reversed input\n let (x, small) = SmallState.pop(small0);\n let states4 = States.step(States.step(States.step(States.step((#right, big0, small))))); // reversed output\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n ?(#idles(big, small), x) // reversed output\n };\n case _ ?(#rebal(states4), x)\n }\n };\n case (#left) {\n // ^ reversed input\n let (x, big) = BigState.pop(big0);\n let states4 = States.step(States.step(States.step(States.step((#left, big, small0))))); // reversed output\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n ?(#idles(small, big), x) // reversed output\n };\n case _ ?(#rebal(states4), x)\n }\n }\n };\n case (#empty) null;\n case (#one(x)) ?(#empty, x);\n case (#two(x, y)) ?(#one(x), y);\n case (#three(x, y, z)) ?(#two(x, y), z)\n };\n\n /// Turn an iterator into a queue, consuming it.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2, 3, 4].values());\n /// assert Queue.peekFront(queue) == ?0;\n /// assert Queue.peekBack(queue) == ?4;\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func fromIter(iter : Iter) : Queue {\n var queue = empty();\n Iter.forEach(iter, func(t : T) = queue := pushBack(queue, t));\n queue\n };\n\n /// Convert an iterator into a queue, consuming the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// transient let iter = [0, 1, 2, 3, 4].values();\n ///\n /// let queue = iter.toQueue();\n ///\n /// assert Queue.peekFront(queue) == ?0;\n /// assert Queue.peekBack(queue) == ?4;\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func toQueue(self : Iter) : Queue {\n fromIter(self)\n };\n\n /// Create an iterator over the elements in the queue. The order of the elements is from front to back.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Iter.toArray(Queue.values(queue)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` to create the iterator and for each `next()` call.\n ///\n /// Space: `O(1)` to create the iterator and for each `next()` call.\n public func values(self : Queue) : Iter.Iter {\n object {\n var current = self;\n public func next() : ?T {\n switch (popFront(current)) {\n case null null;\n case (?result) {\n current := result.1;\n ?result.0\n }\n }\n }\n }\n };\n\n /// Compare two queues for equality using a provided equality function to compare their elements.\n /// Two queues are considered equal if they contain the same elements in the same order.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2, 3].values());\n /// let queue2 = Queue.fromIter([1, 2, 3].values());\n /// let queue3 = Queue.fromIter([1, 3, 2].values());\n /// assert Queue.equal(queue1, queue2, Nat.equal);\n /// assert not Queue.equal(queue1, queue3, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func equal(self : Queue, other : Queue, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n func go(self : Queue, other : Queue, equal : (T, T) -> Bool) : Bool = switch (popFront self, popFront other) {\n case (null, null) true;\n case (?(x1, tail1), ?(x2, tail2)) equal(x1, x2) and go(tail1, tail2, equal); // Note that this is tail recursive (`and` is expanded to `if`).\n case _ false\n };\n go(self, other, equal)\n };\n\n /// Compare two queues lexicographically using a provided comparison function to compare their elements.\n /// Returns `#less` if `queue1` is lexicographically less than `queue2`, `#equal` if they are equal, and `#greater` otherwise.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2, 3].values());\n /// let queue2 = Queue.fromIter([1, 2, 4].values());\n /// assert Queue.compare(queue1, queue2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func compare(self : Queue, other : Queue, compareItem : (implicit : (compare : (T, T) -> Types.Order))) : Types.Order = switch (popFront self, popFront other) {\n case (null, null) #equal;\n case (null, _) #less;\n case (_, null) #greater;\n case (?(x1, selfTail), ?(x2, otherTail)) {\n switch (compareItem(x1, x2)) {\n case (#equal) compare(selfTail, otherTail, compareItem);\n case order order\n }\n }\n };\n\n /// Return true if the given predicate is true for all queue elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([2, 4, 6].values());\n /// assert Queue.all(queue, func n = n % 2 == 0);\n /// assert not Queue.all(queue, func n = n > 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func all(self : Queue, predicate : T -> Bool) : Bool = switch self {\n case (#empty) true;\n case (#one(x)) predicate x;\n case (#two(x, y)) predicate x and predicate y;\n case (#three(x, y, z)) predicate x and predicate y and predicate z;\n case _ {\n for (item in values self) if (not (predicate item)) return false;\n return true\n }\n };\n\n /// Return true if the given predicate is true for any queue element.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.any(queue, func n = n > 2);\n /// assert not Queue.any(queue, func n = n > 3);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func any(self : Queue, predicate : T -> Bool) : Bool = switch self {\n case (#empty) false;\n case (#one(x)) predicate x;\n case (#two(x, y)) predicate x or predicate y;\n case (#three(x, y, z)) predicate x or predicate y or predicate z;\n case _ {\n for (item in values self) if (predicate item) return true;\n return false\n }\n };\n\n /// Call the given function for its side effect on each queue element in order: from front to back.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// persistent actor {\n /// var text = \"\";\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// Queue.forEach(queue, func n = text #= Nat.toText(n));\n /// assert text == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func forEach(self : Queue, f : T -> ()) = switch self {\n case (#empty) ();\n case (#one(x)) f x;\n case (#two(x, y)) { f x; f y };\n case (#three(x, y, z)) { f x; f y; f z };\n // Preserve the order when visiting the elements. Note that the #idles case would require reversing the second stack.\n case _ {\n for (t in values self) f t\n }\n };\n\n /// Create a new queue by applying the given function to each element of the original queue.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let mapped = Queue.map(queue, func n = n * 2);\n /// assert Queue.size(mapped) == 3;\n /// assert Queue.peekFront(mapped) == ?2;\n /// assert Queue.peekBack(mapped) == ?6;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func map(self : Queue, f : T1 -> T2) : Queue = switch self {\n case (#empty) #empty;\n case (#one(x)) #one(f x);\n case (#two(x, y)) #two(f x, f y);\n case (#three(x, y, z)) #three(f x, f y, f z);\n case (#idles(l, r)) #idles(Idle.map(l, f), Idle.map(r, f));\n case (#rebal(_)) {\n // No reason to rebuild the #rebal state.\n // future work: It could be further optimized by building a balanced #idles state directly since we know the sizes.\n var q = empty();\n for (t in values self) q := pushBack(q, f t);\n q\n }\n };\n\n /// Create a new queue with only those elements of the original queue for which\n /// the given predicate returns true.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let filtered = Queue.filter(queue, func n = n % 2 == 0);\n /// assert Queue.size(filtered) == 2;\n /// assert Queue.peekFront(filtered) == ?2;\n /// assert Queue.peekBack(filtered) == ?4;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func filter(self : Queue, predicate : T -> Bool) : Queue {\n var q = empty();\n for (t in values self) if (predicate t) q := pushBack(q, t);\n q\n };\n\n /// Create a new queue by applying the given function to each element of the original queue\n /// and collecting the results for which the function returns a non-null value.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let filtered = Queue.filterMap(queue, func n = if (n % 2 == 0) { ?n } else null);\n /// assert Queue.size(filtered) == 2;\n /// assert Queue.peekFront(filtered) == ?2;\n /// assert Queue.peekBack(filtered) == ?4;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that f runs in `O(1)` time and space.\n public func filterMap(self : Queue, f : T -> ?U) : Queue {\n var q = empty();\n for (t in values self) {\n switch (f t) {\n case (?x) q := pushBack(q, x);\n case null ()\n }\n };\n q\n };\n\n /// Create a `Text` representation of a queue for debugging purposes.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.toText(queue, Nat.toText) == \"RealTimeQueue[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that f runs in `O(1)` time and space.\n public func toText(self : Queue, f : (implicit : (toText : T -> Text))) : Text {\n var text = \"RealTimeQueue[\";\n var first = true;\n for (t in values self) {\n if (first) first := false else text #= \", \";\n text #= f(t)\n };\n text # \"]\"\n };\n\n /// Reverse the order of elements in a queue.\n /// This operation is cheap, it does NOT require copying the elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let reversed = Queue.reverse(queue);\n /// assert Queue.peekFront(reversed) == ?3;\n /// assert Queue.peekBack(reversed) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func reverse(self : Queue) : Queue = switch self {\n case (#idles(l, r)) #idles(r, l);\n case (#rebal(#left, big, small)) #rebal(#right, big, small);\n case (#rebal(#right, big, small)) #rebal(#left, big, small);\n case (#empty) self;\n case (#one(_)) self;\n case (#two(x, y)) #two(y, x);\n case (#three(x, y, z)) #three(z, y, x)\n };\n\n type Stacks = (left : List, right : List);\n\n module Stacks {\n public func push((left, right) : Stacks, t : T) : Stacks = (?(t, left), right);\n\n public func pop(stacks : Stacks) : Stacks = switch stacks {\n case (?(_, leftTail), right) (leftTail, right);\n case (null, ?(_, rightTail)) (null, rightTail);\n case (null, null) stacks\n };\n\n public func first((left, right) : Stacks) : ?T = switch (left) {\n case (?(h, _)) ?h;\n case (null) do ? { right!.0 }\n };\n\n public func unsafeFirst((left, right) : Stacks) : T = switch (left) {\n case (?(h, _)) h;\n case (null) Option.unwrap(right).0\n };\n\n public func isEmpty((left, right) : Stacks) : Bool = List.isEmpty(left) and List.isEmpty(right);\n\n public func size((left, right) : Stacks) : Nat = List.size(left) + List.size(right);\n\n public func smallqueue((left, right) : Stacks) : Queue = switch (left, right) {\n case (null, null) #empty;\n case (null, ?(x, null)) #one(x);\n case (?(x, null), null) #one(x);\n case (null, ?(x, ?(y, null))) #two(y, x);\n case (?(x, null), ?(y, null)) #two(y, x);\n case (?(x, ?(y, null)), null) #two(y, x);\n case (null, ?(x, ?(y, ?(z, null)))) #three(z, y, x);\n case (?(x, ?(y, ?(z, null))), null) #three(z, y, x);\n case (?(x, ?(y, null)), ?(z, null)) #three(z, y, x);\n case (?(x, null), ?(y, ?(z, null))) #three(z, y, x);\n case _ (trap \"Queue.Stacks.smallqueue() impossible\")\n };\n\n public func smallqueueReversed((left, right) : Stacks) : Queue = switch (left, right) {\n case (null, null) #empty;\n case (null, ?(x, null)) #one(x);\n case (?(x, null), null) #one(x);\n case (null, ?(x, ?(y, null))) #two(x, y);\n case (?(x, null), ?(y, null)) #two(x, y);\n case (?(x, ?(y, null)), null) #two(x, y);\n case (null, ?(x, ?(y, ?(z, null)))) #three(x, y, z);\n case (?(x, ?(y, ?(z, null))), null) #three(x, y, z);\n case (?(x, ?(y, null)), ?(z, null)) #three(x, y, z);\n case (?(x, null), ?(y, ?(z, null))) #three(x, y, z);\n case _ (trap \"Queue.Stacks.smallqueueReversed() impossible\")\n };\n public func map((left, right) : Stacks, f : T -> U) : Stacks = (List.map(left, f), List.map(right, f))\n };\n\n /// Represents an end of the queue that is not in a rebalancing process. It is a stack and its size.\n type Idle = (stacks : Stacks, size : Nat);\n module Idle {\n public func push((stacks, size) : Idle, t : T) : Idle = (Stacks.push(stacks, t), 1 + size);\n public func pop((stacks, size) : Idle) : (T, Idle) = (Stacks.unsafeFirst(stacks), (Stacks.pop(stacks), size - 1 : Nat));\n public func peek((stacks, _) : Idle) : T = Stacks.unsafeFirst(stacks);\n\n public func map((stacks, size) : Idle, f : T -> U) : Idle = (Stacks.map(stacks, f), size)\n };\n\n /// Stores information about operations that happen during rebalancing but which have not become part of the old state that is being rebalanced.\n ///\n /// - `extra`: newly added elements\n /// - `extraSize`: size of `extra`\n /// - `old`: elements contained before the rebalancing process\n /// - `targetSize`: the number of elements which will be contained after the rebalancing is finished\n type Current = (extra : List, extraSize : Nat, old : Stacks, targetSize : Nat);\n\n module Current {\n public func new(old : Stacks, targetSize : Nat) : Current = (null, 0, old, targetSize);\n\n public func push((extra, extraSize, old, targetSize) : Current, t : T) : Current = (?(t, extra), 1 + extraSize, old, targetSize);\n\n public func pop((extra, extraSize, old, targetSize) : Current) : (T, Current) = switch (extra) {\n case (?(h, t)) (h, (t, extraSize - 1 : Nat, old, targetSize));\n case (null) (Stacks.unsafeFirst(old), (null, extraSize, Stacks.pop(old), targetSize - 1 : Nat))\n };\n\n public func peek((extra, _, old, _) : Current) : T = switch (extra) {\n case (?(h, _)) h;\n case (null) Stacks.unsafeFirst(old)\n };\n\n public func size((_, extraSize, _, targetSize) : Current) : Nat = extraSize + targetSize\n };\n\n /// The bigger end of the queue during rebalancing. It is used to split the bigger end of the queue into the new big end and a portion to be added to the small end. Can be in one of the following states:\n ///\n /// - `#big1(cur, big, aux, n)`: Initial state. Using the step function it takes `n`-elements from the `big` stack and puts them to `aux` in reversed order. `#big1(cur, x1 .. xn : bigTail, [], n) ->* #big1(cur, bigTail, xn .. x1, 0)`. The `bigTail` is later given to the `small` end.\n /// - `#big2(common)`: Is used to reverse the elements from the previous phase to restore the original order. `common = #copy(cur, xn .. x1, [], 0) ->* #copy(cur, [], x1 .. xn, n)`.\n type BigState = {\n #big1 : (Current, Stacks, List, Nat);\n #big2 : CommonState\n };\n\n module BigState {\n public func push(big : BigState, t : T) : BigState = switch big {\n case (#big1(cur, big, aux, n)) #big1(Current.push(cur, t), big, aux, n);\n case (#big2(state)) #big2(CommonState.push(state, t))\n };\n\n public func pop(big : BigState) : (T, BigState) = switch big {\n case (#big1(cur, big, aux, n)) {\n let (x, cur2) = Current.pop(cur);\n (x, #big1(cur2, big, aux, n))\n };\n case (#big2(state)) {\n let (x, state2) = CommonState.pop(state);\n (x, #big2(state2))\n }\n };\n\n public func peek(big : BigState) : T = switch big {\n case (#big1(cur, _, _, _)) Current.peek(cur);\n case (#big2(state)) CommonState.peek(state)\n };\n\n public func step(big : BigState) : BigState = switch big {\n case (#big1(cur, big, aux, n)) {\n if (n == 0)\n #big2(CommonState.norm(#copy(cur, aux, null, 0))) else\n #big1(cur, Stacks.pop(big), ?(Stacks.unsafeFirst(big), aux), n - 1 : Nat)\n };\n case (#big2(state)) #big2(CommonState.step(state))\n };\n\n public func size(big : BigState) : Nat = switch big {\n case (#big1(cur, _, _, _)) Current.size(cur);\n case (#big2(state)) CommonState.size(state)\n };\n\n public func current(big : BigState) : Current = switch big {\n case (#big1(cur, _, _, _)) cur;\n case (#big2(state)) CommonState.current(state)\n }\n };\n\n /// The smaller end of the queue during rebalancing. Can be in one of the following states:\n ///\n /// - `#small1(cur, small, aux)`: Initial state. Using the step function the original elements are reversed. `#small1(cur, s1 .. sn, []) ->* #small1(cur, [], sn .. s1)`, note that `aux` is initially empty, at the end contains the reversed elements from the small stack.\n /// - `#small2(cur, aux, big, new, size)`: Using the step function the newly transfered tail from the bigger end is reversed on top of the `new` list. `#small2(cur, sn .. s1, b1 .. bm, [], 0) ->* #small2(cur, sn .. s1, [], bm .. b1, m)`, note that `aux` is the reversed small stack from the previous phase, `new` is initially empty, `size` corresponds to the size of `new`.\n /// - `#small3(common)`: Is used to reverse the elements from the two previous phases again to get them again in the original order. `#copy(cur, sn .. s1, bm .. b1, m) ->* #copy(cur, [], s1 .. sn : bm .. b1, n + m)`, note that the correct order of the elements from the big stack is reversed.\n type SmallState = {\n #small1 : (Current, Stacks, List);\n #small2 : (Current, List, Stacks, List, Nat);\n #small3 : CommonState\n };\n\n module SmallState {\n public func push(state : SmallState, t : T) : SmallState = switch state {\n case (#small1(cur, small, aux)) #small1(Current.push(cur, t), small, aux);\n case (#small2(cur, aux, big, new, newN)) #small2(Current.push(cur, t), aux, big, new, newN);\n case (#small3(common)) #small3(CommonState.push(common, t))\n };\n\n public func pop(state : SmallState) : (T, SmallState) = switch state {\n case (#small1(cur0, small, aux)) {\n let (t, cur) = Current.pop(cur0);\n (t, #small1(cur, small, aux))\n };\n case (#small2(cur0, aux, big, new, newN)) {\n let (t, cur) = Current.pop(cur0);\n (t, #small2(cur, aux, big, new, newN))\n };\n case (#small3(common0)) {\n let (t, common) = CommonState.pop(common0);\n (t, #small3(common))\n }\n };\n\n public func peek(state : SmallState) : T = switch state {\n case (#small1(cur, _, _)) Current.peek(cur);\n case (#small2(cur, _, _, _, _)) Current.peek(cur);\n case (#small3(common)) CommonState.peek(common)\n };\n\n public func step(state : SmallState) : SmallState = switch state {\n case (#small1(cur, small, aux)) {\n if (Stacks.isEmpty(small)) state else #small1(cur, Stacks.pop(small), ?(Stacks.unsafeFirst(small), aux))\n };\n case (#small2(cur, aux, big, new, newN)) {\n if (Stacks.isEmpty(big)) #small3(CommonState.norm(#copy(cur, aux, new, newN))) else #small2(cur, aux, Stacks.pop(big), ?(Stacks.unsafeFirst(big), new), 1 + newN)\n };\n case (#small3(common)) #small3(CommonState.step(common))\n };\n\n public func size(state : SmallState) : Nat = switch state {\n case (#small1(cur, _, _)) Current.size(cur);\n case (#small2(cur, _, _, _, _)) Current.size(cur);\n case (#small3(common)) CommonState.size(common)\n };\n\n public func current(state : SmallState) : Current = switch state {\n case (#small1(cur, _, _)) cur;\n case (#small2(cur, _, _, _, _)) cur;\n case (#small3(common)) CommonState.current(common)\n }\n };\n\n type CopyState = { #copy : (Current, List, List, Nat) };\n\n /// Represents the last rebalancing phase of both small and big ends of the queue. It is used to reverse the elements from the previous phases to restore the original order. It can be in one of the following states:\n ///\n /// - `#copy(cur, aux, new, sizeOfNew)`: Puts the elements from `aux` in reversed order on top of `new`. `#copy(cur, xn .. x1, new, sizeOfNew) ->* #copy(cur, [], x1 .. xn : new, n + sizeOfNew)`.\n /// - `#idle(cur, idle)`: The rebalancing process is done and the queue is in the idle state.\n type CommonState = CopyState or { #idle : (Current, Idle) };\n\n module CommonState {\n public func step(common : CommonState) : CommonState = switch common {\n case (#copy copy) {\n let (cur, aux, new, sizeOfNew) = copy;\n let (_, _, _, targetSize) = cur;\n norm(if (sizeOfNew < targetSize) #copy(cur, unsafeTail(aux), ?(unsafeHead(aux), new), 1 + sizeOfNew) else #copy copy)\n };\n case (#idle _) common\n };\n\n public func norm(copy : CopyState) : CommonState {\n let #copy(cur, _, new, sizeOfNew) = copy;\n let (extra, extraSize, _, targetSize) = cur;\n debug assert sizeOfNew <= targetSize;\n if (sizeOfNew >= targetSize) {\n #idle(cur, ((extra, new), extraSize + sizeOfNew)) // note: aux can be non-empty, thus ignored here, when the target size decreases after pop operations\n } else copy\n };\n\n public func push(common : CommonState, t : T) : CommonState = switch common {\n case (#copy(cur, aux, new, sizeOfNew)) #copy(Current.push(cur, t), aux, new, sizeOfNew);\n case (#idle(cur, idle)) #idle(Current.push(cur, t), Idle.push(idle, t)) // yes, push to both\n };\n\n public func pop(common : CommonState) : (T, CommonState) = switch common {\n case (#copy(cur, aux, new, sizeOfNew)) {\n let (t, cur2) = Current.pop(cur);\n (t, norm(#copy(cur2, aux, new, sizeOfNew)))\n };\n case (#idle(cur, idle)) {\n let (t, idle2) = Idle.pop(idle);\n (t, #idle(Current.pop(cur).1, idle2))\n }\n };\n\n public func peek(common : CommonState) : T = switch common {\n case (#copy(cur, _, _, _)) Current.peek(cur);\n case (#idle(_, idle)) Idle.peek(idle)\n };\n\n public func size(common : CommonState) : Nat = switch common {\n case (#copy(cur, _, _, _)) Current.size(cur);\n case (#idle(_, (_, size))) size\n };\n\n public func current(common : CommonState) : Current = switch common {\n case (#copy(cur, _, _, _)) cur;\n case (#idle(cur, _)) cur\n }\n };\n\n type States = (\n direction : Direction,\n bigState : BigState,\n smallState : SmallState\n );\n\n module States {\n public func step(states : States) : States = switch states {\n case (dir, #big1(_, bigTail, _, 0), #small1(currentS, _, auxS)) {\n (dir, BigState.step(states.1), #small2(currentS, auxS, bigTail, null, 0))\n };\n case (dir, big, small) (dir, BigState.step(big), SmallState.step(small))\n }\n };\n\n type Direction = { #left; #right };\n\n func idlesInvariant(((l, nL), (r, nR)) : (Idle, Idle)) : Bool = Stacks.size(l) == nL and Stacks.size(r) == nR and 3 * nL >= nR and 3 * nR >= nL;\n\n type List = Types.Pure.List;\n type Iter = Types.Iter;\n func unsafeHead(l : List) : T = Option.unwrap(l).0;\n func unsafeTail(l : List) : List = Option.unwrap(l).1\n}\n"},"pure/Set.mo":{"content":"/// Pure (immutable) sets based on order/comparison of elements.\n/// A set is a collection of elements without duplicates.\n/// The set data structure type is stable and can be used for orthogonal persistence.\n///\n/// Example:\n/// ```motoko\n/// import Set \"mo:core/pure/Set\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// let set = Set.fromIter([3, 1, 2, 3].values(), Nat.compare);\n/// assert Set.size(set) == 3;\n/// assert not Set.contains(set, Nat.compare, 4);\n/// let diff = Set.difference(set, set, Nat.compare);\n/// assert Set.isEmpty(diff);\n/// }\n/// ```\n///\n/// These sets are implemented as red-black trees, a balanced binary search tree of ordered elements.\n///\n/// The tree data structure internally colors each of its nodes either red or black,\n/// and uses this information to balance the tree during modifying operations.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire tree.\n/// `n` denotes the number of elements (i.e. nodes) stored in the tree.\n///\n/// Credits:\n///\n/// The core of this implementation is derived from:\n///\n/// * Ken Friis Larsen's [RedBlackMap.sml](https://github.com/kfl/mosml/blob/master/src/mosmllib/Redblackmap.sml), which itself is based on:\n/// * Stefan Kahrs, \"Red-black trees with types\", Journal of Functional Programming, 11(4): 425-432 (2001), [version 1 in web appendix](http://www.cs.ukc.ac.uk/people/staff/smk/redblack/rb.html).\n\nimport Runtime \"../Runtime\";\nimport List \"../List\"; // NB: imperative!\nimport Iter \"../Iter\";\nimport Types \"../Types\";\nimport Nat \"../Nat\";\nimport Order \"../Order\";\n\nmodule {\n\n /// Ordered collection of unique elements of the generic type `T`.\n /// If type `T` is stable then `Set` is also stable.\n /// To ensure that property the `Set` does not have any methods,\n /// instead they are gathered in the functor-like class `Operations` (see example there).\n\n /// @deprecated M0235\n public type Set = Types.Pure.Set;\n\n /// Red-black tree of nodes with ordered set elements.\n /// Leaves are considered implicitly black.\n type Tree = Types.Pure.Set.Tree;\n\n /// Create a set with the elements obtained from an iterator.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrences of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2, 1].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func fromIter(iter : Iter.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n var set = empty() : Set;\n for (val in iter) {\n set := Internal.add(set, compare, val)\n };\n set\n };\n\n /// Convert an iterator into a set.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrences of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter = [3, 1, 2, 1].values();\n ///\n /// let set = iter.toSet(Nat.compare);\n ///\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func toSet(self : Iter.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(self, compare)\n };\n\n /// Given a `set` ordered by `compare`, insert the new `element`,\n /// returning the new set.\n ///\n /// Return the set unchanged if the element already exists in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set0 = Set.empty();\n /// let set1 = Set.add(set0, Nat.compare, 2);\n /// let set2 = Set.add(set1, Nat.compare, 1);\n /// let set3 = Set.add(set2, Nat.compare, 2);\n /// assert Iter.toArray(Set.values(set0)) == [];\n /// assert Iter.toArray(Set.values(set1)) == [2];\n /// assert Iter.toArray(Set.values(set2)) == [1, 2];\n /// assert Iter.toArray(Set.values(set3)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned set shares with the `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.add(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func add(self : Set, compare : (implicit : (T, T) -> Order.Order), elem : T) : Set = Internal.add(self, compare, elem);\n\n /// Given `set` ordered by `compare`, insert the new `element`,\n /// returning the set extended with `element` and a Boolean indicating\n /// if the element was already present in `set`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set0 = Set.empty();\n /// do {\n /// let (set1, new1) = Set.insert(set0, Nat.compare, 2);\n /// assert new1;\n /// let (set2, new2) = Set.insert(set1, Nat.compare, 1);\n /// assert new2;\n /// let (set3, new3) = Set.insert(set2, Nat.compare, 2);\n /// assert not new3;\n /// assert Iter.toArray(Set.values(set3)) == [1, 2]\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned set shares with the `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.add(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func insert(self : Set, compare : (implicit : (T, T) -> Order.Order), elem : T) : (Set, Bool) = Internal.insert(self, compare, elem);\n\n /// Given `set` ordered by `compare` return the set with `element` removed.\n /// Return the set unchanged if the element was absent.\n ///\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n ///\n /// let set1 = Set.remove(set, Nat.compare, 2);\n /// let set2 = Set.remove(set1, Nat.compare, 4);\n /// assert Iter.toArray(Set.values(set2)) == [1, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// Note: The returned set shares with `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.delete(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func remove(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Set = Internal.remove(self, compare, element);\n\n /// Given `set` ordered by `compare`, delete `element` from the set, returning\n /// either the set without the element and a Boolean indicating whether\n /// whether `element` was contained in `set`.\n ///\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// do {\n /// let (set1, contained1) = Set.delete(set, Nat.compare, 2);\n /// assert contained1;\n /// assert Iter.toArray(Set.values(set1)) == [1, 3];\n /// let (set2, contained2) = Set.delete(set1, Nat.compare, 4);\n /// assert not contained2;\n /// assert Iter.toArray(Set.values(set2)) == [1, 3];\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// Note: The returned set shares with `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.delete(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func delete(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : (Set, Bool) = Internal.delete(self, compare, element);\n\n /// Tests whether the set contains the provided element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Bool \"mo:core/Bool\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// assert Set.contains(set, Nat.compare, 1);\n /// assert not Set.contains(set, Nat.compare, 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func contains(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool = Internal.contains(self.root, compare, element);\n\n /// Get the maximal element of the set `set` if it is not empty, otherwise returns `null`\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 2, 1].values(), Nat.compare);\n /// let set2 = Set.empty();\n /// assert Set.max(set1) == ?2;\n /// assert Set.max(set2) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements in the set\n public func max(self : Set) : ?T = Internal.max(self.root);\n\n /// Retrieves the minimum element from the set.\n /// If the set is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([2, 0, 1].values(), Nat.compare);\n /// let set2 = Set.empty();\n /// assert Set.min(set1) == ?0;\n /// assert Set.min(set2) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func min(self : Set) : ?T = Internal.min(self.root);\n\n /// Returns a new set that is the union of `set1` and `set2`,\n /// i.e. a new set that all the elements that exist in at least on of the two sets.\n /// Potential duplicates are ignored, i.e. if the same element occurs in both `set1`\n /// and `set2`, it only occurs once in the returned set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let union = Set.union(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(union)) == [1, 2, 3, 4, 5];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(m)`, retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in the sets, and `m <= n`.\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(m * log(n))` temporary objects that will be collected as garbage.\n public func union(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n if (size(self) < size(other)) {\n foldLeft(self, other, func(acc : Set, elem : T) : Set { Internal.add(acc, compare, elem) })\n } else {\n foldLeft(other, self, func(acc : Set, elem : T) : Set { Internal.add(acc, compare, elem) })\n }\n };\n\n /// Returns a new set that is the intersection of `set1` and `set2`,\n /// i.e. a new set that contains all the elements that exist in both sets.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let intersection = Set.intersection(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(intersection)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(m)` temporary objects that will be collected as garbage.\n public func intersection(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let elems = List.empty();\n if (self.size < other.size) {\n Internal.iterate(\n self.root,\n func(x : T) {\n if (Internal.contains(other.root, compare, x)) {\n List.add(elems, x)\n }\n }\n )\n } else {\n Internal.iterate(\n other.root,\n func(x : T) {\n if (Internal.contains(self.root, compare, x)) {\n List.add(elems, x)\n }\n }\n )\n };\n { root = Internal.buildFromSorted(elems); size = List.size(elems) }\n };\n\n /// Returns a new set that is the difference between `set1` and `other` (`set1` minus `set2`),\n /// i.e. a new set that contains all the elements of `set1` that do not exist in `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let difference = Set.difference(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(difference)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(m * log(n))` temporary objects that will be collected as garbage.\n public func difference(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n if (size(self) < size(other)) {\n let elems = List.empty(); /* imperative! */\n Internal.iterate(\n self.root,\n func(x : T) {\n if (not Internal.contains(other.root, compare, x)) {\n List.add(elems, x)\n }\n }\n );\n { root = Internal.buildFromSorted(elems); size = List.size(elems) }\n } else {\n foldLeft(\n other,\n self,\n func(acc : Set, elem : T) : Set {\n if (Internal.contains(acc.root, compare, elem)) {\n Internal.remove(acc, compare, elem)\n } else { acc }\n }\n )\n }\n };\n\n /// Project all elements of the set in a new set.\n /// Apply a mapping function to each element in the set and\n /// collect the mapped elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// let textNumbers =\n /// Set.map(numbers, Text.compare, Nat.toText);\n /// assert Iter.toArray(Set.values(textNumbers)) == [\"1\", \"2\", \"3\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func map(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> T2) : Set = Internal.foldLeft(self.root, empty(), func(acc : Set, elem : T1) : Set { Internal.add(acc, compare, project(elem)) });\n\n /// Apply an operation on each element contained in the set.\n /// The operation is applied in ascending order of the elements.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// var text = \"\";\n /// Set.forEach(numbers, func (element) {\n /// text #= \" \" # Nat.toText(element)\n /// });\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory.\n /// where `n` denotes the number of elements stored in the set.\n ///\n public func forEach(self : Set, operation : T -> ()) {\n ignore foldLeft(self, null, func(acc, e) : Null { operation(e); null })\n };\n\n /// Filter elements in a new set.\n /// Create a copy of the mutable set that only contains the elements\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let evenNumbers = Set.filter(numbers, Nat.compare, func (number) {\n /// number % 2 == 0\n /// });\n /// assert Iter.toArray(Set.values(evenNumbers)) == [0, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Set, compare : (implicit : (T, T) -> Order.Order), criterion : T -> Bool) : Set {\n foldLeft>(\n self,\n empty(),\n func(acc, e) {\n if (criterion(e)) (add(acc, compare, e)) else acc\n }\n )\n };\n\n /// Filter all elements in the set by also applying a projection to the elements.\n /// Apply a mapping function `project` to all elements in the set and collect all\n /// elements, for which the function returns a non-null new element. Collect all\n /// non-discarded new elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 0, 2, 1].values(), Nat.compare);\n ///\n /// let evenTextNumbers = Set.filterMap(numbers, Text.compare, func (number) {\n /// if (number % 2 == 0) {\n /// ?Nat.toText(number)\n /// } else {\n /// null // discard odd numbers\n /// }\n /// });\n /// assert Iter.toArray(Set.values(evenTextNumbers)) == [\"0\", \"2\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> ?T2) : Set {\n func combine(acc : Set, elem : T1) : Set {\n switch (project(elem)) {\n case null { acc };\n case (?elem2) {\n Internal.add(acc, compare, elem2)\n }\n }\n };\n Internal.foldLeft(self.root, empty(), combine)\n };\n\n /// Test whether `set1` is a sub-set of `set2`, i.e. each element in `set1` is\n /// also contained in `set2`. Returns `true` if both sets are equal.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// let set3 = Set.fromIter([3, 4].values(), Nat.compare);\n /// assert Set.isSubset(set1, set2, Nat.compare);\n /// assert not Set.isSubset(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets set1 and set2, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func isSubset(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Bool {\n if (self.size > other.size) { return false };\n isSubsetHelper(self.root, other.root, compare)\n };\n\n /// Test whether two sets are equal.\n /// Both sets have to be constructed by the same comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1].values(), Nat.compare);\n /// let set3 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// assert Set.equal(set1, set2, Nat.compare);\n /// assert not Set.equal(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets set1 and set2, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func equal(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Bool {\n if (self.size != other.size) { return false };\n isSubsetHelper(self.root, other.root, compare)\n };\n\n func isSubsetHelper(t1 : Tree, t2 : Tree, compare : (T, T) -> Order.Order) : Bool {\n switch (t1, t2) {\n case (#leaf, _) { true };\n case (_, #leaf) { false };\n case ((#red(t1l, x1, t1r) or #black(t1l, x1, t1r)), (#red(t2l, x2, t2r)) or #black(t2l, x2, t2r)) {\n switch (compare(x1, x2)) {\n case (#equal) {\n isSubsetHelper(t1l, t2l, compare) and isSubsetHelper(t1r, t2r, compare)\n };\n // x1 < x2 ==> x1 \\in t2l /\\ t1l \\subset t2l\n case (#less) {\n Internal.contains(t2l, compare, x1) and isSubsetHelper(t1l, t2l, compare) and isSubsetHelper(t1r, t2, compare)\n };\n // x2 < x1 ==> x1 \\in t2r /\\ t1r \\subset t2r\n case (#greater) {\n Internal.contains(t2r, compare, x1) and isSubsetHelper(t1l, t2, compare) and isSubsetHelper(t1r, t2r, compare)\n }\n }\n }\n }\n };\n\n /// Compare two sets by comparing the elements.\n /// Both sets must have been created by the same comparison function.\n /// The two sets are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `set1` is less than `set2` if:\n /// * the pairwise iteration hits an element pair `element1` and `element2` where\n /// `element1` is less than `element2` and all preceding elements are equal, or,\n /// * `set1` is a strict prefix of `set2`, i.e. `set2` has more elements than `set1`\n /// and all elements of `set1` occur at the beginning of iteration `set2`.\n /// Equal:\n /// `set1` and `set2` have same series of equal elements by pairwise iteration.\n /// Greater:\n /// `set1` is neither less nor equal `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1].values(), Nat.compare);\n /// let set2 = Set.fromIter([0, 2].values(), Nat.compare);\n ///\n /// assert Set.compare(set1, set2, Nat.compare) == #less;\n /// assert Set.compare(set1, set1, Nat.compare) == #equal;\n /// assert Set.compare(set2, set1, Nat.compare) == #greater;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `compare` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n // TODO: optimize using recursion on self?\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var text = \"\";\n /// for (number in Set.values(set)) {\n /// text #= \" \" # Nat.toText(number);\n /// };\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func values(self : Set) : Iter.Iter = Internal.iter(self.root, #fwd);\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// for (number in Set.reverseValues(set)) {\n /// tmp #= \" \" # Nat.toText(number);\n /// };\n /// assert tmp == \" 3 2 1 0\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseValues(self : Set) : Iter.Iter = Internal.iter(self.root, #bwd);\n\n /// Create a new empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Iter.toArray(Set.values(set)) == [];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Set = { root = #leaf; size = 0 };\n\n /// Create a new set with a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.singleton(0);\n /// assert Iter.toArray(Set.values(set)) == [0];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(element : T) : Set {\n {\n size = 1;\n root = #red(#leaf, element, #leaf)\n }\n };\n\n /// Return the number of elements in a set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1, 3].values(), Nat.compare);\n ///\n /// assert Set.size(set) == 4;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func size(self : Set) : Nat = self.size;\n\n /// Iterate all elements in ascending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldLeft(\n /// set,\n /// \"\",\n /// func (accumulator, element) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n public func foldLeft(\n self : Set,\n base : A,\n combine : (A, T) -> A\n ) : A = Internal.foldLeft(self.root, base, combine);\n\n /// Iterate all elements in descending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldRight(\n /// set,\n /// \"\",\n /// func (element, accumulator) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 3 2 1 0\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n public func foldRight(\n self : Set,\n base : A,\n combine : (T, A) -> A\n ) : A = Internal.foldRight(self.root, base, combine);\n\n /// Determines whether a set is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.empty();\n /// let set2 = Set.singleton(1);\n ///\n /// assert Set.isEmpty(set1);\n /// assert not Set.isEmpty(set2);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Set) : Bool {\n switch (self.root) {\n case (#leaf) { true };\n case _ { false }\n }\n };\n\n /// Check whether all element in the set satisfy a predicate, i.e.\n /// the `predicate` function returns `true` for all elements in the set.\n /// Returns `true` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let belowTen = Set.all(set, func (number) {\n /// number < 10\n /// });\n /// assert belowTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func all(self : Set, predicate : T -> Bool) : Bool = Internal.all(self.root, predicate);\n\n /// Check whether at least one element in the set satisfies a predicate, i.e.\n /// the `predicate` function returns `true` for at least one element in the set.\n /// Returns `false` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let aboveTen = Set.any(set, func (number) {\n /// number > 10\n /// });\n /// assert not aboveTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func any(self : Set, pred : T -> Bool) : Bool = Internal.any(self.root, pred);\n\n /// Test helper that check internal invariant for the given set `s`.\n /// Raise an error (for a stack trace) if invariants are violated.\n public func assertValid(self : Set, compare : (implicit : (T, T) -> Order.Order)) : () {\n Internal.assertValid(self, compare)\n };\n\n /// Generate a textual representation of all the elements in the set.\n /// Primarily to be used for testing and debugging.\n /// The elements are formatted according to `elementFormat`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// assert Set.toText(set, Nat.toText) == \"PureSet{0, 1, 2, 3}\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `elementFormat` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func toText(self : Set, elementFormat : (implicit : (toText : T -> Text))) : Text {\n var text = \"PureSet{\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # elementFormat(element);\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Construct the union of a set of element sets, i.e. all elements of\n /// each element set are included in the result set.\n /// Any duplicates are ignored, i.e. if the same element occurs in multiple element sets,\n /// it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Order \"mo:core/Order\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// func setCompare(first: Set.Set, second: Set.Set) : Order.Order {\n /// Set.compare(first, second, Nat.compare)\n /// };\n ///\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let setOfSets = Set.fromIter([set1, set2, set3].values(), setCompare);\n /// let flatSet = Set.flatten(setOfSets, Nat.compare);\n /// assert Iter.toArray(Set.values(flatSet)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in all the sub-sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func flatten(self : Set>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n var result = empty();\n for (set in values(self)) {\n result := union(result, set, compare)\n };\n result\n };\n\n /// Construct the union of a series of sets, i.e. all elements of\n /// each set are included in the result set.\n /// Any duplicates are ignored, i.e. if an element occurs\n /// in several of the iterated sets, it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let combined = Set.join([set1, set2, set3].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(combined)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the iterated sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func join(self : Iter.Iter>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n var result = empty();\n for (set in self) {\n result := union(result, set, compare)\n };\n result\n };\n\n module Internal {\n public func contains(tree : Tree, compare : (T, T) -> Order.Order, elem : T) : Bool {\n func f(t : Tree, x : T) : Bool {\n switch t {\n case (#black(l, x1, r)) {\n switch (compare(x, x1)) {\n case (#less) { f(l, x) };\n case (#equal) { true };\n case (#greater) { f(r, x) }\n }\n };\n case (#red(l, x1, r)) {\n switch (compare(x, x1)) {\n case (#less) { f(l, x) };\n case (#equal) { true };\n case (#greater) { f(r, x) }\n }\n };\n case (#leaf) { false }\n }\n };\n f(tree, elem)\n };\n\n public func max(m : Tree) : ?V {\n func rightmost(m : Tree) : V {\n switch m {\n case (#red(_, v, #leaf)) { v };\n case (#red(_, _, r)) { rightmost(r) };\n case (#black(_, v, #leaf)) { v };\n case (#black(_, _, r)) { rightmost(r) };\n case (#leaf) { Runtime.trap \"pure/Set.max() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?rightmost(m) }\n }\n };\n\n public func min(m : Tree) : ?V {\n func leftmost(m : Tree) : V {\n switch m {\n case (#red(#leaf, v, _)) { v };\n case (#red(l, _, _)) { leftmost(l) };\n case (#black(#leaf, v, _)) { v };\n case (#black(l, _, _)) { leftmost(l) };\n case (#leaf) { Runtime.trap \"pure/Set.min() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?leftmost(m) }\n }\n };\n\n public func all(m : Tree, pred : V -> Bool) : Bool {\n switch m {\n case (#red(l, v, r)) {\n pred(v) and all(l, pred) and all(r, pred)\n };\n case (#black(l, v, r)) {\n pred(v) and all(l, pred) and all(r, pred)\n };\n case (#leaf) { true }\n }\n };\n\n public func any(m : Tree, pred : V -> Bool) : Bool {\n switch m {\n case (#red(l, v, r)) {\n pred(v) or any(l, pred) or any(r, pred)\n };\n case (#black(l, v, r)) {\n pred(v) or any(l, pred) or any(r, pred)\n };\n case (#leaf) { false }\n }\n };\n\n public func iterate(m : Tree, f : V -> ()) {\n switch m {\n case (#leaf) {};\n case (#black(l, v, r)) { iterate(l, f); f(v); iterate(r, f) };\n case (#red(l, v, r)) { iterate(l, f); f(v); iterate(r, f) }\n }\n };\n\n // build tree from elements arr[l]..arr[r-1]\n public func buildFromSorted(buf : List.List) : Tree {\n var maxDepth = 0;\n var maxSize = 1;\n while (maxSize < List.size(buf)) {\n maxDepth += 1;\n maxSize += maxSize + 1\n };\n maxDepth := if (maxDepth == 0) { 1 } else { maxDepth }; // keep root black for 1 element tree\n func buildFromSortedHelper(l : Nat, r : Nat, depth : Nat) : Tree {\n if (l + 1 == r) {\n if (depth == maxDepth) {\n return #red(#leaf, List.at(buf, l), #leaf)\n } else {\n return #black(#leaf, List.at(buf, l), #leaf)\n }\n };\n if (l >= r) {\n return #leaf\n };\n let m = (l + r) / 2;\n return #black(\n buildFromSortedHelper(l, m, depth + 1),\n List.at(buf, m),\n buildFromSortedHelper(m + 1, r, depth + 1)\n )\n };\n buildFromSortedHelper(0, List.size(buf), 0)\n };\n\n type IterRep = Types.Pure.List<{ #tr : Tree; #x : T }>;\n\n type SetTraverser = (Tree, T, Tree, IterRep) -> IterRep;\n\n class IterSet(tree : Tree, setTraverser : SetTraverser) {\n var trees : IterRep = ?(#tr(tree), null);\n public func next() : ?T {\n switch (trees) {\n case (null) { null };\n case (?(#tr(#leaf), ts)) {\n trees := ts;\n next()\n };\n case (?(#x(x), ts)) {\n trees := ts;\n ?x\n };\n case (?(#tr(#black(l, x, r)), ts)) {\n trees := setTraverser(l, x, r, ts);\n next()\n };\n case (?(#tr(#red(l, x, r)), ts)) {\n trees := setTraverser(l, x, r, ts);\n next()\n }\n }\n }\n };\n\n public func iter(s : Tree, direction : { #fwd; #bwd }) : Iter.Iter {\n let turnLeftFirst : SetTraverser = func(l, x, r, ts) {\n ?(#tr(l), ?(#x(x), ?(#tr(r), ts)))\n };\n\n let turnRightFirst : SetTraverser = func(l, x, r, ts) {\n ?(#tr(r), ?(#x(x), ?(#tr(l), ts)))\n };\n\n switch direction {\n case (#fwd) IterSet(s, turnLeftFirst);\n case (#bwd) IterSet(s, turnRightFirst)\n }\n };\n\n public func foldLeft(\n tree : Tree,\n base : Accum,\n combine : (Accum, T) -> Accum\n ) : Accum {\n switch (tree) {\n case (#leaf) { base };\n case (#black(l, x, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, x);\n foldLeft(r, middle, combine)\n };\n case (#red(l, x, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, x);\n foldLeft(r, middle, combine)\n }\n }\n };\n\n public func foldRight(\n tree : Tree,\n base : Accum,\n combine : (T, Accum) -> Accum\n ) : Accum {\n switch (tree) {\n case (#leaf) { base };\n case (#black(l, x, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(x, right);\n foldRight(l, middle, combine)\n };\n case (#red(l, x, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(x, right);\n foldRight(l, middle, combine)\n }\n }\n };\n\n func redden(t : Tree) : Tree {\n switch t {\n case (#black(l, x, r)) { (#red(l, x, r)) };\n case _ {\n Runtime.trap \"pure/Set.redden() impossible\"\n }\n }\n };\n\n func lbalance(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (#red(#red(l1, x1, r1), x2, r2), r) {\n #red(\n #black(l1, x1, r1),\n x2,\n #black(r2, x, r)\n )\n };\n case (#red(l1, x1, #red(l2, x2, r2)), r) {\n #red(\n #black(l1, x1, l2),\n x2,\n #black(r2, x, r)\n )\n };\n case _ {\n #black(left, x, right)\n }\n }\n };\n\n func rbalance(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, #red(l2, x2, r2))) {\n #red(\n #black(l, x, l1),\n x1,\n #black(l2, x2, r2)\n )\n };\n case (l, #red(#red(l1, x1, r1), x2, r2)) {\n #red(\n #black(l, x, l1),\n x1,\n #black(r1, x2, r2)\n )\n };\n case _ {\n #black(left, x, right)\n }\n }\n };\n\n public func add(\n set : Set,\n compare : (T, T) -> Order.Order,\n elem : T\n ) : Set {\n insert(set, compare, elem).0\n };\n\n public func insert(\n s : Set,\n compare : (T, T) -> Order.Order,\n elem : T\n ) : (Set, Bool) {\n var newNodeIsCreated : Bool = false;\n func ins(tree : Tree) : Tree {\n switch tree {\n case (#black(left, x, right)) {\n switch (compare(elem, x)) {\n case (#less) {\n lbalance(ins left, x, right)\n };\n case (#greater) {\n rbalance(left, x, ins right)\n };\n case (#equal) {\n #black(left, x, right)\n }\n }\n };\n case (#red(left, x, right)) {\n switch (compare(elem, x)) {\n case (#less) {\n #red(ins left, x, right)\n };\n case (#greater) {\n #red(left, x, ins right)\n };\n case (#equal) {\n #red(left, x, right)\n }\n }\n };\n case (#leaf) {\n newNodeIsCreated := true;\n #red(#leaf, elem, #leaf)\n }\n }\n };\n let newRoot = switch (ins(s.root)) {\n case (#red(left, x, right)) {\n #black(left, x, right)\n };\n case other { other }\n };\n if newNodeIsCreated ({ root = newRoot; size = s.size + 1 }, true) else (s, false)\n };\n\n func balLeft(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (#red(l1, x1, r1), r) {\n #red(#black(l1, x1, r1), x, r)\n };\n case (_, #black(l2, x2, r2)) {\n rbalance(left, x, #red(l2, x2, r2))\n };\n case (_, #red(#black(l2, x2, r2), x3, r3)) {\n #red(\n #black(left, x, l2),\n x2,\n rbalance(r2, x3, redden r3)\n )\n };\n case _ { Runtime.trap \"pure/Set.balLeft() impossible\" }\n }\n };\n\n func balRight(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, r1)) {\n #red(l, x, #black(l1, x1, r1))\n };\n case (#black(l1, x1, r1), r) {\n lbalance(#red(l1, x1, r1), x, r)\n };\n case (#red(l1, x1, #black(l2, x2, r2)), r3) {\n #red(\n lbalance(redden l1, x1, l2),\n x2,\n #black(r2, x, r3)\n )\n };\n case _ { Runtime.trap \"pure/Set.balRight() impossible\" }\n }\n };\n\n func append(left : Tree, right : Tree) : Tree {\n switch (left, right) {\n case (#leaf, _) { right };\n case (_, #leaf) { left };\n case (\n #red(l1, x1, r1),\n #red(l2, x2, r2)\n ) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, r3)) {\n #red(\n #red(l1, x1, l3),\n x3,\n #red(r3, x2, r2)\n )\n };\n case r1l2 {\n #red(l1, x1, #red(r1l2, x2, r2))\n }\n }\n };\n case (t1, #red(l2, x2, r2)) {\n #red(append(t1, l2), x2, r2)\n };\n case (#red(l1, x1, r1), t2) {\n #red(l1, x1, append(r1, t2))\n };\n case (#black(l1, x1, r1), #black(l2, x2, r2)) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, r3)) {\n #red(\n #black(l1, x1, l3),\n x3,\n #black(r3, x2, r2)\n )\n };\n case r1l2 {\n balLeft(\n l1,\n x1,\n #black(r1l2, x2, r2)\n )\n }\n }\n }\n }\n };\n\n public func remove(set : Set, compare : (T, T) -> Order.Order, elem : T) : Set {\n delete(set, compare, elem).0\n };\n\n public func delete(s : Set, compare : (T, T) -> Order.Order, x : T) : (Set, Bool) {\n var changed : Bool = false;\n func delNode(left : Tree, x1 : T, right : Tree) : Tree {\n switch (compare(x, x1)) {\n case (#less) {\n let newLeft = del left;\n switch left {\n case (#black(_, _, _)) {\n balLeft(newLeft, x1, right)\n };\n case _ {\n #red(newLeft, x1, right)\n }\n }\n };\n case (#greater) {\n let newRight = del right;\n switch right {\n case (#black(_, _, _)) {\n balRight(left, x1, newRight)\n };\n case _ {\n #red(left, x1, newRight)\n }\n }\n };\n case (#equal) {\n changed := true;\n append(left, right)\n }\n }\n };\n func del(tree : Tree) : Tree {\n switch tree {\n case (#black(left, x1, right)) {\n delNode(left, x1, right)\n };\n case (#red(left, x1, right)) {\n delNode(left, x1, right)\n };\n case (#leaf) {\n tree\n }\n }\n };\n let newRoot = switch (del(s.root)) {\n case (#red(left, x1, right)) {\n #black(left, x1, right)\n };\n case other { other }\n };\n if changed ({ root = newRoot; size = s.size - 1 }, true) else (s, false)\n };\n\n // check binary search tree order of elements and black depth invariant of the RB-tree\n public func assertValid(s : Set, comp : (T, T) -> Order.Order) {\n ignore blackDepth(s.root, comp)\n };\n\n func blackDepth(node : Tree, comp : (T, T) -> Order.Order) : Nat {\n func checkNode(left : Tree, x1 : T, right : Tree) : Nat {\n checkElem(left, func(x : T) : Bool { comp(x, x1) == #less });\n checkElem(right, func(x : T) : Bool { comp(x, x1) == #greater });\n let leftBlacks = blackDepth(left, comp);\n let rightBlacks = blackDepth(right, comp);\n assert (leftBlacks == rightBlacks);\n leftBlacks\n };\n switch node {\n case (#leaf) 0;\n case (#red(left, x1, right)) {\n assert (not isRed(left));\n assert (not isRed(right));\n checkNode(left, x1, right)\n };\n case (#black(left, x1, right)) {\n checkNode(left, x1, right) + 1\n }\n }\n };\n\n func isRed(node : Tree) : Bool {\n switch node {\n case (#red(_, _, _)) true;\n case _ false\n }\n };\n\n func checkElem(node : Tree, isValid : T -> Bool) {\n switch node {\n case (#leaf) {};\n case (#black(_, elem, _)) {\n assert (isValid(elem))\n };\n case (#red(_, elem, _)) {\n assert (isValid(elem))\n }\n }\n }\n };\n\n}\n"},"VarArray.mo":{"content":"/// Provides extended utility functions on mutable Arrays (`[var]`).\n///\n/// Note the difference between mutable (`[var]`) and immutable (`[]`) arrays.\n/// Mutable arrays allow their elements to be modified after creation, while\n/// immutable arrays are fixed once created.\n///\n/// WARNING: If you are looking for a list that can grow and shrink in size,\n/// it is recommended you use `List` for those purposes.\n/// Arrays must be created with a fixed size.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import VarArray \"mo:core/VarArray\";\n/// ```\n\nimport Types \"Types\";\nimport Order \"Order\";\nimport Result \"Result\";\nimport Option \"Option\";\nimport Prim \"mo:⛔\";\nimport InsertionSort \"internal/SortHelper\";\n\nmodule {\n let nat = Prim.nat32ToNat;\n\n /// Creates an empty mutable array (equivalent to `[var]`).\n ///\n /// ```motoko include=import\n /// let array = VarArray.empty();\n /// assert array.size() == 0;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func empty() : [var T] = [var];\n\n /// Creates a mutable array containing `item` repeated `size` times.\n ///\n /// ```motoko include=import\n /// import Text \"mo:core/Text\";\n ///\n /// let array = VarArray.repeat(\"Echo\", 3);\n /// assert VarArray.equal(array, [var \"Echo\", \"Echo\", \"Echo\"], Text.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func repeat(item : T, size : Nat) : [var T] = Prim.Array_init(size, item);\n\n /// Duplicates `array`, returning a shallow copy of the original.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [var 1, 2, 3];\n /// let array2 = VarArray.clone(array1);\n /// array2[0] := 0;\n /// assert VarArray.equal(array1, [var 1, 2, 3], Nat.equal);\n /// assert VarArray.equal(array2, [var 0, 2, 3], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func clone(self : [var T]) : [var T] = Prim.Array_tabulateVar(self.size(), func i = self[i]);\n\n /// Creates a mutable array of size `size`. Each element at index i\n /// is created by applying `generator` to i.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array : [var Nat] = VarArray.tabulate(4, func i = i * 2);\n /// assert VarArray.equal(array, [var 0, 2, 4, 6], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `generator` runs in O(1) time and space.\n public let tabulate : (size : Nat, generator : Nat -> T) -> [var T] = Prim.Array_tabulateVar;\n\n /// Tests if two arrays contain equal values (i.e. they represent the same\n /// list of elements). Uses `equal` to compare elements in the arrays.\n ///\n /// ```motoko include=import\n /// // Use the equal function from the Nat module to compare Nats\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [var 0, 1, 2, 3];\n /// let array2 = [var 0, 1, 2, 3];\n /// assert VarArray.equal(array1, array2, Nat.equal);\n /// ```\n ///\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func equal(self : [var T], other : [var T], equal : (implicit : (T, T) -> Bool)) : Bool {\n let size1 = self.size();\n let size2 = other.size();\n if (size1 != size2) {\n return false\n };\n var i = 0;\n while (i < size1) {\n if (not equal(self[i], other[i])) {\n return false\n };\n i += 1\n };\n true\n };\n\n /// Returns the first value in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 9, 4, 8];\n /// let found = VarArray.find(array, func x = x > 8);\n /// assert found == ?9;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func find(self : [var T], predicate : T -> Bool) : ?T {\n for (element in self.vals()) {\n if (predicate element) {\n return ?element\n }\n };\n null\n };\n\n /// Returns the first index in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = [var 'A', 'B', 'C', 'D'];\n /// let found = VarArray.findIndex(array, func(x) { x == 'C' });\n /// assert found == ?2;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : [var T], predicate : T -> Bool) : ?Nat {\n for ((index, element) in enumerate(self)) {\n if (predicate element) {\n return ?index\n }\n };\n null\n };\n\n /// Create a new mutable array by concatenating the values of `array1` and `array2`.\n /// Note that `VarArray.concat` copies its arguments and has linear complexity.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [var 1, 2, 3];\n /// let array2 = [var 4, 5, 6];\n /// let result = VarArray.concat(array1, array2);\n /// assert VarArray.equal(result, [var 1, 2, 3, 4, 5, 6], Nat.equal);\n /// ```\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(size1 + size2)\n public func concat(self : [var T], other : [var T]) : [var T] {\n let size1 = self.size();\n let size2 = other.size();\n tabulate(\n size1 + size2,\n func i {\n if (i < size1) {\n self[i]\n } else {\n other[i - size1]\n }\n }\n )\n };\n\n /// Creates a new sorted copy of the mutable array according to `compare`.\n /// Sort is deterministic and stable.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 6];\n /// let sorted = VarArray.sort(array, Nat.compare);\n /// assert VarArray.equal(sorted, [var 2, 4, 6], Nat.equal);\n /// ```\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sort(self : [var T], compare : (implicit : (T, T) -> Order.Order)) : [var T] {\n let newArray = clone(self);\n sortInPlace(newArray, compare);\n newArray\n };\n\n /// Sorts the elements in a mutable array in place according to `compare`.\n /// Sort is deterministic and stable. This modifies the original array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 6];\n /// VarArray.sortInPlace(array, Nat.compare);\n /// assert VarArray.equal(array, [var 2, 4, 6], Nat.equal);\n /// ```\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sortInPlace(self : [var T], compare : (implicit : (T, T) -> Order.Order)) : () {\n let size = Prim.natToNat32(self.size());\n if (size <= 1) return;\n if (size <= 8) {\n InsertionSort.insertionSortSmall(self, self, compare, 0 : Nat32, size);\n return\n };\n let buffer = repeat(self[0], nat(size / 2));\n mergeSortRec(self, buffer, compare, 0 : Nat32, size, true, 0 : Nat32)\n };\n\n // input data is alwways in array\n // even: write output data to array in place\n // odd: write output data to buffer at offset\n // offset is only used when odd\n func mergeSortRec(\n array : [var T],\n buffer : [var T],\n compare : (T, T) -> Order.Order,\n from : Nat32,\n to : Nat32,\n even : Bool,\n offset : Nat32\n ) {\n debug assert from < to;\n let size = to -% from;\n debug assert size >= 4;\n\n if (size <= 8) {\n if (even) {\n InsertionSort.insertionSortSmall(array, array, compare, from, size); // sorts array in place\n } else {\n InsertionSort.insertionSortSmallMove(array, buffer, compare, from, size, offset); // sorts to buffer at offset\n };\n return\n };\n\n let len1 = size / 2;\n let mid = from +% len1;\n if (even) {\n // merge to array in place\n mergeSortRec(array, buffer, compare, mid, to, true, 0 : Nat32); // sort upper half to array in place\n mergeSortRec(array, buffer, compare, from, mid, false, 0 : Nat32); // sort lower half to beginning of buffer\n merge1(array, buffer, compare, from, mid, to); // merge to array in place\n } else {\n // merge to buffer at offset\n mergeSortRec(array, buffer, compare, from, mid, true, 0 : Nat32); // lower half to array in place\n mergeSortRec(array, buffer, compare, mid, to, false, offset +% len1); // sort upper half to buffer starting shifted offset\n merge2(array, buffer, compare, from, mid, size, offset); // merge to buffer at offset\n }\n };\n\n func merge1(array : [var T], buffer : [var T], compare : (T, T) -> Order.Order, from : Nat32, mid : Nat32, to : Nat32) {\n debug assert from < mid;\n debug assert mid < to;\n let len = mid -% from;\n var pos = from;\n var i = 0 : Nat32;\n var j = mid;\n\n var iElem = buffer[nat(i)];\n var jElem = array[nat(j)];\n label L loop {\n switch (compare(jElem, iElem)) {\n case (#less) {\n array[nat(pos)] := jElem;\n j +%= 1;\n pos +%= 1;\n if (j == to) {\n while (i < len) {\n array[nat(pos)] := buffer[nat(i)];\n i +%= 1;\n pos +%= 1\n };\n break L\n };\n jElem := array[nat(j)]\n };\n case (_) {\n array[nat(pos)] := iElem;\n i +%= 1;\n pos +%= 1;\n if (i == len) break L;\n iElem := buffer[nat(i)]\n }\n }\n }\n };\n\n func merge2(array : [var T], buffer : [var T], compare : (T, T) -> Order.Order, from : Nat32, mid : Nat32, size : Nat32, offset : Nat32) {\n debug assert from < mid;\n debug assert mid < from +% size;\n let len = mid -% from;\n var pos = offset;\n var i = from;\n var j = offset +% len;\n let j_max = offset +% size;\n\n var iElem = array[nat(i)];\n var jElem = buffer[nat(j)];\n label L loop {\n switch (compare(jElem, iElem)) {\n case (#less) {\n buffer[nat(pos)] := jElem;\n j +%= 1;\n pos +%= 1;\n if (j == j_max) {\n while (i < mid) {\n buffer[nat(pos)] := array[nat(i)];\n i +%= 1;\n pos +%= 1\n };\n break L\n };\n jElem := buffer[nat(j)]\n };\n case (_) {\n buffer[nat(pos)] := iElem;\n i +%= 1;\n pos +%= 1;\n if (i == mid) break L;\n iElem := array[nat(i)]\n }\n }\n }\n };\n\n /// Creates a new mutable array by reversing the order of elements in `array`.\n /// The original array is not modified.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 10, 11, 12];\n /// let reversed = VarArray.reverse(array);\n /// assert VarArray.equal(reversed, [var 12, 11, 10], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func reverse(self : [var T]) : [var T] {\n let size = self.size();\n tabulate(size, func i = self[size - i - 1])\n };\n\n /// Reverses the order of elements in a mutable array in place.\n /// This modifies the original array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 10, 11, 12];\n /// VarArray.reverseInPlace(array);\n /// assert VarArray.equal(array, [var 12, 11, 10], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func reverseInPlace(self : [var T]) : () {\n let size = self.size();\n if (size == 0) {\n return\n };\n var i = 0;\n var j = (size - 1) : Nat;\n while (i < j) {\n let temp = self[i];\n self[i] := self[j];\n self[j] := temp;\n i += 1;\n j -= 1\n }\n };\n\n /// Calls `f` with each element in `array`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// let array = [var 0, 1, 2, 3];\n /// VarArray.forEach(array, func(x) {\n /// sum += x;\n /// });\n /// assert sum == 6;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : [var T], f : T -> ()) {\n for (item in self.vals()) {\n f(item)\n }\n };\n\n /// Creates a new mutable array by applying `f` to each element in `array`. `f` \"maps\"\n /// each element it is applied to of type `T` to an element of type `R`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 0, 1, 2, 3];\n /// let array2 = VarArray.map(array, func x = x * 2);\n /// assert VarArray.equal(array2, [var 0, 2, 4, 6], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func map(self : [var T], f : T -> R) : [var R] {\n tabulate(\n self.size(),\n func(index) {\n f(self[index])\n }\n )\n };\n\n /// Applies `f` to each element of `array` in place,\n /// retaining the original ordering of elements.\n /// This modifies the original array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 0, 1, 2, 3];\n /// VarArray.mapInPlace(array, func x = x * 3);\n /// assert VarArray.equal(array, [var 0, 3, 6, 9], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapInPlace(self : [var T], f : T -> T) {\n var index = 0;\n let size = self.size();\n while (index < size) {\n self[index] := f(self[index]);\n index += 1\n }\n };\n\n /// Creates a new mutable array by applying `predicate` to every element\n /// in `array`, retaining the elements for which `predicate` returns true.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 6, 1, 5];\n /// let evenElements = VarArray.filter(array, func x = x % 2 == 0);\n /// assert VarArray.equal(evenElements, [var 4, 2, 6], Nat.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func filter(self : [var T], f : T -> Bool) : [var T] {\n var count = 0;\n let keep = Prim.Array_tabulate(\n self.size(),\n func i {\n if (f(self[i])) {\n count += 1;\n true\n } else {\n false\n }\n }\n );\n var nextKeep = 0;\n tabulate(\n count,\n func _ {\n while (not keep[nextKeep]) {\n nextKeep += 1\n };\n nextKeep += 1;\n self[nextKeep - 1]\n }\n )\n };\n\n /// Creates a new mutable array by applying `f` to each element in `array`,\n /// and keeping all non-null elements. The ordering is retained.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let array = [var 4, 2, 0, 1];\n /// let newArray =\n /// VarArray.filterMap( // mapping from Nat to Text values\n /// array,\n /// func x = if (x == 0) { null } else { ?Nat.toText(100 / x) } // can't divide by 0, so return null\n /// );\n /// assert VarArray.equal(newArray, [var \"25\", \"50\", \"100\"], Text.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func filterMap(self : [var T], f : T -> ?R) : [var R] {\n var count = 0;\n let options = Prim.Array_tabulate(\n self.size(),\n func i {\n let result = f(self[i]);\n switch (result) {\n case (?element) {\n count += 1;\n result\n };\n case null {\n null\n }\n }\n }\n );\n\n var nextSome = 0;\n tabulate(\n count,\n func _ {\n while (Option.isNull(options[nextSome])) {\n nextSome += 1\n };\n nextSome += 1;\n switch (options[nextSome - 1]) {\n case (?element) element;\n case null {\n Prim.trap \"VarArray.filterMap(): malformed array\"\n }\n }\n }\n )\n };\n\n /// Creates a new mutable array by applying `f` to each element in `array`.\n /// If any invocation of `f` produces an `#err`, returns an `#err`. Otherwise\n /// returns an `#ok` containing the new array.\n ///\n /// ```motoko include=import\n /// import Result \"mo:core/Result\";\n ///\n /// let array = [var 4, 3, 2, 1, 0];\n /// // divide 100 by every element in the array\n /// let result = VarArray.mapResult(array, func x {\n /// if (x > 0) {\n /// #ok(100 / x)\n /// } else {\n /// #err \"Cannot divide by zero\"\n /// }\n /// });\n /// assert Result.isErr(result);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n /// @deprecated M0235\n public func mapResult(self : [var T], f : T -> Result.Result) : Result.Result<[var R], E> {\n let size = self.size();\n\n var error : ?Result.Result<[var R], E> = null;\n let results = tabulate(\n size,\n func i {\n switch (f(self[i])) {\n case (#ok element) {\n ?element\n };\n case (#err e) {\n switch (error) {\n case null {\n // only take the first error\n error := ?(#err e)\n };\n case _ {}\n };\n null\n }\n }\n }\n );\n\n switch error {\n case null {\n // unpack the option\n #ok(\n map(\n results,\n func element {\n switch element {\n case (?element) {\n element\n };\n case null {\n Prim.trap \"VarArray.mapResults(): malformed array\"\n }\n }\n }\n )\n )\n };\n case (?error) {\n error\n }\n }\n };\n\n /// Creates a new array by applying `f` to each element in `array` and its index.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 10, 10, 10, 10];\n /// let newArray = VarArray.mapEntries(array, func (x, i) = i * x);\n /// assert VarArray.equal(newArray, [var 0, 10, 20, 30], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapEntries(self : [var T], f : (T, Nat) -> R) : [var R] {\n tabulate(self.size(), func i = f(self[i], i))\n };\n\n /// Creates a new mutable array by applying `k` to each element in `array`,\n /// and concatenating the resulting arrays in order.\n ///\n /// ```motoko include=import\n /// import Int \"mo:core/Int\"\n ///\n /// let array = [var 1, 2, 3, 4];\n /// let newArray = VarArray.flatMap(array, func x = [x, -x].vals());\n /// assert VarArray.equal(newArray, [var 1, -1, 2, -2, 3, -3, 4, -4], Int.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `k` runs in O(1) time and space.\n public func flatMap(self : [var T], k : T -> Types.Iter) : [var R] {\n var flatSize = 0;\n let arrays = Prim.Array_tabulate<[var R]>(\n self.size(),\n func i {\n let subArray = fromIter(k(self[i])); // TODO: optimize\n flatSize += subArray.size();\n subArray\n }\n );\n\n // could replace with a call to flatten,\n // but it would require an extra pass (to compute `flatSize`)\n var outer = 0;\n var inner = 0;\n tabulate(\n flatSize,\n func _ {\n while (inner == arrays[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = arrays[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// ```motoko include=import\n /// import {add} \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 0, 1];\n /// let sum =\n /// VarArray.foldLeft(\n /// array,\n /// 0, // start the sum at 0\n /// func(sumSoFar, x) = sumSoFar + x // this entire function can be replaced with `add`!\n /// );\n /// assert sum == 7;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : [var T], base : A, combine : (A, T) -> A) : A {\n var acc = base;\n for (element in self.vals()) {\n acc := combine(acc, element)\n };\n acc\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// ```motoko include=import\n /// import {toText} \"mo:core/Nat\";\n ///\n /// let array = [var 1, 9, 4, 8];\n /// let bookTitle = VarArray.foldRight(array, \"\", func(x, acc) = toText(x) # acc);\n /// assert bookTitle == \"1948\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldRight(self : [var T], base : A, combine : (T, A) -> A) : A {\n var acc = base;\n let size = self.size();\n var i = size;\n while (i > 0) {\n i -= 1;\n acc := combine(self[i], acc)\n };\n acc\n };\n\n /// Combines an iterator of mutable arrays into a single mutable array.\n /// Retains the original ordering of the elements.\n ///\n /// Consider using `VarArray.flatten()` for better performance.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let arrays : [[var Nat]] = [[var 0, 1, 2], [var 2, 3], [var], [var 4]];\n /// let joinedArray = VarArray.join(arrays.vals());\n /// assert VarArray.equal(joinedArray, [var 0, 1, 2, 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func join(self : Types.Iter<[var T]>) : [var T] {\n flatten(fromIter(self))\n };\n\n /// Combines a mutable array of mutable arrays into a single mutable array. Retains the original\n /// ordering of the elements.\n ///\n /// This has better performance compared to `VarArray.join()`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let arrays : [var [var Nat]] = [var [var 0, 1, 2], [var 2, 3], [var], [var 4]];\n /// let flatArray = VarArray.flatten(arrays);\n /// assert VarArray.equal(flatArray, [var 0, 1, 2, 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func flatten(self : [var [var T]]) : [var T] {\n var flatSize = 0;\n for (subArray in self.vals()) {\n flatSize += subArray.size()\n };\n\n var outer = 0;\n var inner = 0;\n tabulate(\n flatSize,\n func _ {\n while (inner == self[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = self[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Create an array containing a single value.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = VarArray.singleton(2);\n /// assert VarArray.equal(array, [var 2], Nat.equal);\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func singleton(element : T) : [var T] = [var element];\n\n /// Returns the size of a mutable array. Equivalent to `array.size()`.\n public func size(self : [var T]) : Nat = self.size();\n\n /// Returns whether a mutable array is empty, i.e. contains zero elements.\n public func isEmpty(self : [var T]) : Bool = self.size() == 0;\n\n /// Transforms an immutable array into a mutable array.\n ///\n /// ```motoko include=import\n /// let array = [0, 1, 2];\n /// let varArray = VarArray.fromArray(array);\n /// assert varArray.size() == 3;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n /// @deprecated M0235\n public func fromArray(array : [T]) : [var T] = Prim.Array_tabulateVar(array.size(), func i = array[i]);\n\n /// Converts an iterator to a mutable array.\n public func fromIter(iter : Types.Iter) : [var T] {\n var list : Types.Pure.List = null;\n var size = 0;\n label l loop {\n switch (iter.next()) {\n case (?element) {\n list := ?(element, list);\n size += 1\n };\n case null { break l }\n }\n };\n if (size == 0) { return [var] };\n let array = Prim.Array_init(\n size,\n switch list {\n case (?(h, _)) h;\n case null {\n Prim.trap(\"VarArray.fromIter(): unreachable\")\n }\n }\n );\n var i = size;\n while (i > 0) {\n i -= 1;\n switch list {\n case (?(h, t)) {\n array[i] := h;\n list := t\n };\n case null {\n Prim.trap(\"VarArray.fromIter(): unreachable\")\n }\n }\n };\n array\n };\n\n /// Returns an iterator (`Iter`) over the indices of `array`.\n /// An iterator provides a single method `next()`, which returns\n /// indices in order, or `null` when out of index to iterate over.\n ///\n /// NOTE: You can also use `array.keys()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [var 10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.keys()) {\n /// sum += element;\n /// };\n /// assert sum == 3; // 0 + 1 + 2\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func keys(self : [var T]) : Types.Iter = self.keys();\n\n /// Iterator provides a single method `next()`, which returns\n /// elements in order, or `null` when out of elements to iterate over.\n ///\n /// Note: You can also use `array.values()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [var 10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.values()) {\n /// sum += element;\n /// };\n /// assert sum == 33; // 10 + 11 + 12\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func values(self : [var T]) : Types.Iter = self.vals();\n\n /// Returns an iterator that provides pairs of (index, element) in order, or `null`\n /// when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// let array = [var 10, 11, 12];\n ///\n /// var sum = 0;\n /// for ((index, element) in VarArray.enumerate(array)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func enumerate(self : [var T]) : Types.Iter<(Nat, T)> = object {\n let size = self.size();\n var index = 0;\n public func next() : ?(Nat, T) {\n if (index >= size) {\n return null\n };\n let i = index;\n index += 1;\n ?(i, self[i])\n }\n };\n\n /// Returns true if all elements in `array` satisfy the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4];\n /// assert VarArray.all(array, func x = x > 0);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func all(self : [var T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Returns true if any element in `array` satisfies the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4];\n /// assert VarArray.any(array, func x = x > 3);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func any(self : [var T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Returns the index of the first `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.indexOf(array, Char.equal, 'c') == ?0;\n /// assert VarArray.indexOf(array, Char.equal, 'f') == ?2;\n /// assert VarArray.indexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func indexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = nextIndexOf(self, equal, element, 0);\n\n /// Returns the index of the next occurence of `element` in the `array` starting from the `from` index (inclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.nextIndexOf(array, Char.equal, 'c', 0) == ?0;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 0) == ?2;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 2) == ?2;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 3) == ?3;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func nextIndexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T, fromInclusive : Nat) : ?Nat {\n var index = fromInclusive;\n let size = self.size();\n while (index < size) {\n if (equal(self[index], element)) {\n return ?index\n } else {\n index += 1\n }\n };\n null\n };\n\n /// Returns the index of the last `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.lastIndexOf(array, Char.equal, 'c') == ?0;\n /// assert VarArray.lastIndexOf(array, Char.equal, 'f') == ?3;\n /// assert VarArray.lastIndexOf(array, Char.equal, 'e') == ?5;\n /// assert VarArray.lastIndexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func lastIndexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = prevIndexOf(self, equal, element, self.size());\n\n /// Returns the index of the previous occurence of `element` in the `array` starting from the `from` index (exclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.prevIndexOf(array, Char.equal, 'c', array.size()) == ?0;\n /// assert VarArray.prevIndexOf(array, Char.equal, 'e', array.size()) == ?5;\n /// assert VarArray.prevIndexOf(array, Char.equal, 'e', 5) == ?4;\n /// assert VarArray.prevIndexOf(array, Char.equal, 'e', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size());\n /// Space: O(1);\n public func prevIndexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T, fromExclusive : Nat) : ?Nat {\n var i = fromExclusive;\n while (i > 0) {\n i -= 1;\n if (equal(self[i], element)) {\n return ?i\n }\n };\n null\n };\n\n /// Returns true if the `array` contains `element` using the provided `equal` function.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.contains(array, Char.equal, 'f');\n /// assert not VarArray.contains(array, Char.equal, 'g');\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func contains(self : [var T], equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (item in self.vals()) {\n if (equal(item, element)) {\n return true\n }\n };\n false\n };\n\n /// Returns an iterator over a slice of `array` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// Negative indices are relative to the end of the array. For example, `-1` corresponds to the last element in the array.\n ///\n /// If the indices are out of bounds, they are clamped to the array bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4, 5];\n /// let iter1 = VarArray.range(array, 3, array.size());\n /// assert iter1.next() == ?4;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// let iter2 = VarArray.range(array, 3, -1);\n /// assert iter2.next() == ?4;\n /// assert iter2.next() == null;\n ///\n /// let iter3 = VarArray.range(array, 0, 0);\n /// assert iter3.next() == null;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func range(self : [var T], fromInclusive : Int, toExclusive : Int) : Types.Iter {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (values are non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n object {\n var pos = start;\n public func next() : ?T {\n if (pos >= end) {\n null\n } else {\n let elem = self[pos];\n pos += 1;\n ?elem\n }\n }\n }\n };\n\n /// Returns a new array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4, 5];\n ///\n /// let slice1 = VarArray.sliceToArray(array, 1, 4);\n /// assert slice1 == [2, 3, 4];\n ///\n /// let slice2 = VarArray.sliceToArray(array, 1, -1);\n /// assert slice2 == [2, 3, 4];\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToArray(self : [var T], fromInclusive : Int, toExclusive : Int) : [T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return []\n };\n Prim.Array_tabulate(end - start, func i = self[start + i])\n };\n\n /// Returns a new mutable array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 1, 2, 3, 4, 5];\n ///\n /// let slice1 = VarArray.sliceToVarArray(array, 1, 4);\n /// assert VarArray.equal(slice1, [var 2, 3, 4], Nat.equal);\n ///\n /// let slice2 = VarArray.sliceToVarArray(array, 1, -1);\n /// assert VarArray.equal(slice2, [var 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToVarArray(self : [var T], fromInclusive : Int, toExclusive : Int) : [var T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return [var]\n };\n Prim.Array_tabulateVar(end - start, func i = self[start + i])\n };\n\n /// Transforms a mutable array into an immutable array.\n ///\n /// ```motoko include=import\n /// let varArray = [var 0, 1, 2];\n /// varArray[2] := 3;\n /// let array = VarArray.toArray(varArray);\n /// assert array == [0, 1, 3];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func toArray(self : [var T]) : [T] = Prim.Array_tabulate(self.size(), func i = self[i]);\n\n /// Converts the mutable array to its textual representation using `f` to convert each element to `Text`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 1, 2, 3];\n /// assert VarArray.toText(array, Nat.toText) == \"[var 1, 2, 3]\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func toText(self : [var T], f : (implicit : (toText : T -> Text))) : Text {\n let size = self.size();\n if (size == 0) { return \"[var]\" };\n var text = \"[var \";\n var i = 0;\n while (i < size) {\n if (i != 0) {\n text #= \", \"\n };\n text #= f(self[i]);\n i += 1\n };\n text #= \"]\";\n text\n };\n\n /// Compares two mutable arrays using the provided comparison function for elements.\n /// Returns #less, #equal, or #greater if `array1` is less than, equal to,\n /// or greater than `array2` respectively.\n ///\n /// If arrays have different sizes but all elements up to the shorter length are equal,\n /// the shorter array is considered #less than the longer array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// let array1 = [var 1, 2, 3];\n /// let array2 = [var 1, 2, 4];\n /// assert VarArray.compare(array1, array2, Nat.compare) == #less;\n ///\n /// let array3 = [var 1, 2];\n /// let array4 = [var 1, 2, 3];\n /// assert VarArray.compare(array3, array4, Nat.compare) == #less;\n /// ```\n ///\n /// Runtime: O(min(size1, size2))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func compare(self : [var T], other : [var T], compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let size1 = self.size();\n let size2 = other.size();\n var i = 0;\n let minSize = if (size1 < size2) { size1 } else { size2 };\n while (i < minSize) {\n switch (compare(self[i], other[i])) {\n case (#less) { return #less };\n case (#greater) { return #greater };\n case (#equal) { i += 1 }\n }\n };\n if (size1 < size2) { #less } else if (size1 > size2) { #greater } else {\n #equal\n }\n };\n\n /// Performs binary search on a sorted mutable array to find the index of the `element`.\n /// Returns `#found(index)` if the element is found, or `#insertionIndex(index)` with the index\n ///\n /// If there are multiple equal elements, no guarantee is made about which index is returned.\n /// The array must be sorted in ascending order according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let sorted = [var 1, 3, 5, 7, 9, 11];\n /// assert VarArray.binarySearch(sorted, Nat.compare, 5) == #found(2);\n /// assert VarArray.binarySearch(sorted, Nat.compare, 6) == #insertionIndex(3);\n /// ```\n ///\n /// Runtime: O(log(size))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func binarySearch(self : [var T], compare : (implicit : (T, T) -> Order.Order), element : T) : {\n #found : Nat;\n #insertionIndex : Nat\n } {\n var left = 0;\n var right = self.size();\n while (left < right) {\n let mid = (left + right) / 2;\n switch (compare(self[mid], element)) {\n case (#less) left := mid + 1;\n case (#greater) right := mid;\n case (#equal) return #found mid\n }\n };\n #insertionIndex left\n };\n\n /// Checks whether the mutable `array` is sorted according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 1, 2, 3];\n /// assert VarArray.isSorted(array, Nat.compare);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func isSorted(self : [var T], compare : (implicit : (T, T) -> Order.Order)) : Bool {\n let size = self.size();\n if (size <= 1) return true;\n var i = 1;\n while (i < size) {\n switch (compare(self[i - 1], self[i])) {\n case (#greater) return false;\n case _ { i += 1 }\n }\n };\n true\n }\n\n}\n"},"pure/Map.mo":{"content":"/// Immutable, ordered key-value maps.\n///\n/// The map type is stable whenever the key and value types are stable, allowing\n/// map values to be stored in stable variables.\n///\n/// Keys are ordered by an explicit `compare` function, which *must* be the same\n/// across all operations on a given map.\n///\n///\n/// Example:\n/// ```motoko\n/// import Map \"mo:core/pure/Map\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// // creation\n/// let empty = Map.empty();\n/// // insertion\n/// let map1 = Map.add(empty, Nat.compare, 0, \"Zero\");\n/// // retrieval\n/// assert Map.get(empty, Nat.compare, 0) == null;\n/// assert Map.get(map1, Nat.compare, 0) == ?\"Zero\";\n/// // removal\n/// let map2 = Map.remove(map1, Nat.compare, 0);\n/// assert not Map.isEmpty(map1);\n/// assert Map.isEmpty(map2);\n/// }\n/// ```\n///\n/// The internal representation is a red-black tree.\n///\n/// A red-black tree is a balanced binary search tree ordered by the keys.\n///\n/// The tree data structure internally colors each of its nodes either red or black,\n/// and uses this information to balance the tree during the modifying operations.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire tree.\n/// `n` denotes the number of key-value entries (i.e. nodes) stored in the tree.\n///\n/// Note:\n/// * Map operations, such as retrieval, insertion, and removal create `O(log(n))` temporary objects that become garbage.\n///\n/// Credits:\n///\n/// The core of this implementation is derived from:\n///\n/// * Ken Friis Larsen's [RedBlackMap.sml](https://github.com/kfl/mosml/blob/master/src/mosmllib/Redblackmap.sml), which itself is based on:\n/// * Stefan Kahrs, \"Red-black trees with types\", Journal of Functional Programming, 11(4): 425-432 (2001), [version 1 in web appendix](http://www.cs.ukc.ac.uk/people/staff/smk/redblack/rb.html).\n\nimport Order \"../Order\";\nimport Iter \"../Iter\";\nimport Types \"../Types\";\nimport Runtime \"../Runtime\";\n\n// TODO: inline Internal?\n// TODO: Do we want clone or clear, just to match imperative API?\n// inline Tree type, remove Types.Pure.Tree?\n\nmodule {\n\n /// @deprecated M0235\n public type Map = Types.Pure.Map;\n\n type Tree = Types.Pure.Map.Tree;\n\n /// Create a new empty immutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Map {\n Internal.empty()\n };\n\n /// Determines whether a key-value map is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map0 = Map.empty();\n /// let map1 = Map.add(map0, Nat.compare, 0, \"Zero\");\n ///\n /// assert Map.isEmpty(map0);\n /// assert not Map.isEmpty(map1);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Map) : Bool {\n self.size == 0\n };\n\n /// Determine the size of the map as the number of key-value entries.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.size(map) == 3;\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func size(self : Map) : Nat = self.size;\n\n /// Test whether the map `map`, ordered by `compare`, contains a binding for the given `key`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.containsKey(map, Nat.compare, 1);\n /// assert not Map.containsKey(map, Nat.compare, 42);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func containsKey(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Bool = Internal.contains(self.root, compare, key);\n\n /// Given, `map` ordered by `compare`, return the value associated with key `key` if present and `null` otherwise.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.get(map, Nat.compare, 1) == ?\"One\";\n /// assert Map.get(map, Nat.compare, 42) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func get(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : ?V = Internal.get(self.root, compare, key);\n\n /// Given `map` ordered by `compare`, insert a mapping from `key` to `value`.\n /// Returns the modified map and `true` if the key is new to map, otherwise `false`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 = Map.empty();\n ///\n /// do {\n /// let (map1, new1) = Map.insert(map0, Nat.compare, 0, \"Zero\");\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Zero\")];\n /// assert new1;\n /// let (map2, new2) = Map.insert(map1, Nat.compare, 0, \"Nil\");\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Nil\")];\n /// assert not new2\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `m := Map.add(m, cmp, k, v)`)\n /// causes collecting `O(log(n))` nodes.\n public func insert(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : (Map, Bool) {\n switch (swap(self, compare, key, value)) {\n case (map1, null) (map1, true);\n case (map1, _) (map1, false)\n }\n };\n\n /// Given `map` ordered by `compare`, add a new mapping from `key` to `value`.\n /// Replaces any existing entry with key `key`.\n /// Returns the modified map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// var map = Map.empty();\n ///\n /// map := Map.add(map, Nat.compare, 0, \"Zero\");\n /// map := Map.add(map, Nat.compare, 1, \"One\");\n /// map := Map.add(map, Nat.compare, 0, \"Nil\");\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `m := Map.add(m, cmp, k, v)`)\n /// causes collecting `O(log(n))` nodes.\n public func add(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : Map {\n swap(self, compare, key, value).0\n };\n\n /// Given `map` ordered by `compare`, add a mapping from `key` to `value`. Overwrites any existing entry with key `key`.\n /// Returns the modified map and the previous value associated with key `key`\n /// or `null` if no such value exists.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// do {\n /// let (map1, old1) = Map.swap(map0, Nat.compare, 0, \"Nil\");\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Nil\"), (1, \"One\"), (2, \"Two\")];\n /// assert old1 == ?\"Zero\";\n ///\n /// let (map2, old2) = Map.swap(map0, Nat.compare, 3, \"Three\");\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\"), (3, \"Three\")];\n /// assert old2 == null;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `m := Map.swap(m, Nat.compare, k, v).0`)\n /// causes collecting `O(log(n))` nodes.\n public func swap(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : (Map, ?V) {\n switch (Internal.swap(self.root, compare, key, value)) {\n case (t, null) { ({ root = t; size = self.size + 1 }, null) };\n case (t, v) { ({ root = t; size = self.size }, v) }\n }\n };\n\n /// Overwrites the value of an existing key and returns the updated map and previous value.\n /// If the key does not exist, returns the original map and `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let singleton = Map.singleton(0, \"Zero\");\n ///\n /// do {\n /// let (map1, prev1) = Map.replace(singleton, Nat.compare, 0, \"Nil\"); // overwrites the value for existing key.\n /// assert prev1 == ?\"Zero\";\n /// assert Map.get(map1, Nat.compare, 0) == ?\"Nil\";\n ///\n /// let (map2, prev2) = Map.replace(map1, Nat.compare, 1, \"One\"); // no effect, key is absent\n /// assert prev2 == null;\n /// assert Map.get(map2, Nat.compare, 1) == null;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func replace(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : (Map, ?V) {\n // TODO: Could be optimized in future\n if (containsKey(self, compare, key)) {\n swap(self, compare, key, value)\n } else { (self, null) }\n };\n\n /// Given a `map`, ordered by `compare`, deletes any entry for `key` from `map`.\n /// Has no effect if `key` is not present in the map.\n /// Returns the updated map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 =\n /// Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// let map1 = Map.remove(map0, Nat.compare, 1);\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Zero\"), (2, \"Two\")];\n /// let map2 = Map.remove(map0, Nat.compare, 42);\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `map := Map.delete(map, compare, k).0`)\n /// causes collecting `O(log(n))` nodes.\n public func remove(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Map {\n switch (Internal.remove(self.root, compare, key)) {\n case (_, null) self;\n case (t, ?_) { { root = t; size = self.size - 1 } }\n }\n };\n\n /// Given a `map`, ordered by `compare`, deletes any entry for `key` from `map`.\n /// Has no effect if `key` is not present in the map.\n /// Returns the updated map and `true` if the `key` was present in `map`, otherwise `false`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 =\n /// Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// do {\n /// let (map1, pres1) = Map.delete(map0, Nat.compare, 1);\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Zero\"), (2, \"Two\")];\n /// assert pres1;\n /// let (map2, pres2) = Map.delete(map0, Nat.compare, 42);\n /// assert not pres2;\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `map := Map.delete(map, compare, k).0`)\n /// causes collecting `O(log(n))` nodes.\n public func delete(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : (Map, Bool) {\n switch (Internal.remove(self.root, compare, key)) {\n case (_, null) { (self, false) };\n case (t, ?_) { ({ root = t; size = self.size - 1 }, true) }\n }\n };\n\n /// Given a `map`, ordered by `compare`, deletes the entry for `key`. Returns a modified map, leaving `map` unchanged, and the\n /// previous value associated with `key` or `null` if no such value exists.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// do {\n /// let (map1, prev1) = Map.take(map0, Nat.compare, 0);\n /// assert Iter.toArray(Map.entries(map1)) == [(1, \"One\"), (2, \"Two\")];\n /// assert prev1 == ?\"Zero\";\n ///\n /// let (map2, prev2) = Map.take(map0, Nat.compare, 42);\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// assert prev2 == null;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `map := Map.remove(map, compare, key)`)\n /// causes collecting `O(log(n))` nodes.\n public func take(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : (Map, ?V) {\n switch (Internal.remove(self.root, compare, key)) {\n case (t, null) { ({ root = t; size = self.size }, null) };\n case (t, v) { ({ root = t; size = self.size - 1 }, v) }\n }\n };\n\n /// Given a `map` retrieves the key-value pair in `map` with a maximal key. If `map` is empty returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.maxEntry(map) == ?(2, \"Two\");\n /// assert Map.maxEntry(Map.empty()) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func maxEntry(self : Map) : ?(K, V) = Internal.maxEntry(self.root);\n\n /// Retrieves a key-value pair from `map` with the minimal key. If the map is empty returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.minEntry(map) == ?(0, \"Zero\");\n /// assert Map.minEntry(Map.empty()) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func minEntry(self : Map) : ?(K, V) = Internal.minEntry(self.root);\n\n /// Returns an Iterator (`Iter`) over the key-value pairs in the map.\n /// Iterator provides a single method `next()`, which returns\n /// pairs in ascending order by keys, or `null` when out of pairs to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.entries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func entries(self : Map) : Iter.Iter<(K, V)> = Internal.iter(self.root, #fwd);\n\n /// Returns an Iterator (`Iter`) over the key-value pairs in the map.\n /// Iterator provides a single method `next()`, which returns\n /// pairs in descending order by keys, or `null` when out of pairs to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.reverseEntries(map)) == [(2, \"Two\"), (1, \"One\"), (0, \"Zero\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.reverseEntries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"TwoOneZero\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func reverseEntries(self : Map) : Iter.Iter<(K, V)> = Internal.iter(self.root, #bwd);\n\n /// Given a `map`, returns an Iterator (`Iter`) over the keys of the `map`.\n /// Iterator provides a single method `next()`, which returns\n /// keys in ascending order, or `null` when out of keys to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.keys(map)) == [0, 1, 2];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func keys(self : Map) : Iter.Iter = Iter.map(entries(self), func(kv : (K, V)) : K { kv.0 });\n\n /// Given a `map`, returns an Iterator (`Iter`) over the values of the map.\n /// Iterator provides a single method `next()`, which returns\n /// values in ascending order of associated keys, or `null` when out of values to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.values(map)) == [\"Zero\", \"One\", \"Two\"];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func values(self : Map) : Iter.Iter = Iter.map(entries(self), func(kv : (K, V)) : V { kv.1 });\n\n /// Returns a new map, containing all entries given by the iterator `i`.\n /// If there are multiple entries with the same key the last one is taken.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = Map.fromIter(iter, Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func fromIter(iter : Iter.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map = Internal.fromIter(iter, compare);\n\n /// Convert an iterator of entries into a map.\n /// If there are multiple entries with the same key the last one is taken.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = iter.toMap(Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func toMap(self : Iter.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map = Internal.fromIter(self, compare);\n\n /// Given a `map` and function `f`, creates a new map by applying `f` to each entry in the map `m`. Each entry\n /// `(k, v)` in the old map is transformed into a new entry `(k, v2)`, where\n /// the new value `v2` is created by applying `f` to `(k, v)`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, _val : Text) : Nat = key * 2;\n ///\n /// let resMap = Map.map(map, f);\n ///\n /// assert Iter.toArray(Map.entries(resMap)) == [(0, 0), (1, 2), (2, 4)];\n /// }\n /// ```\n ///\n /// Cost of mapping all the elements:\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory\n /// where `n` denotes the number of key-value entries stored in the map.\n public func map(self : Map, f : (K, V1) -> V2) : Map = Internal.map(self, f);\n\n /// Collapses the elements in the `map` into a single value by starting with `base`\n /// and progressively combining keys and values into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(accum : (Nat, Text), key : Nat, val : Text) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldLeft(map, (0, \"\"), folder) == (3, \"ZeroOneTwo\");\n /// }\n /// ```\n ///\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: depends on `combine` function plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func foldLeft(\n self : Map,\n base : A,\n combine : (A, K, V) -> A\n ) : A = Internal.foldLeft(self.root, base, combine);\n\n /// Collapses the elements in the `map` into a single value by starting with `base`\n /// and progressively combining keys and values into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(key : Nat, val : Text, accum : (Nat, Text)) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldRight(map, (0, \"\"), folder) == (3, \"TwoOneZero\");\n /// }\n /// ```\n ///\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: depends on `combine` function plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func foldRight(\n self : Map,\n base : A,\n combine : (K, V, A) -> A\n ) : A = Internal.foldRight(self.root, base, combine);\n\n /// Test whether all key-value pairs in `map` satisfy the given predicate `pred`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.all(map, func (k, v) = v == Nat.toText(k));\n /// assert not Map.all(map, func (k, v) = k < 2);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func all(self : Map, pred : (K, V) -> Bool) : Bool = Internal.all(self.root, pred);\n\n /// Test if any key-value pair in `map` satisfies the given predicate `pred`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.any(map, func (k, v) = (k >= 0));\n /// assert not Map.any(map, func (k, v) = (k >= 3));\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func any(self : Map, pred : (K, V) -> Bool) : Bool = Internal.any(self.root, pred);\n\n /// Create a new immutable key-value `map` with a single entry.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(0, \"Zero\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(key : K, value : V) : Map {\n {\n size = 1;\n root = #red(#leaf, key, value, #leaf)\n }\n };\n\n /// Apply an operation for each key-value pair contained in the map.\n /// The operation is applied in ascending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// var sum = 0;\n /// var text = \"\";\n /// Map.forEach(map, func (key, value) {\n /// sum += key;\n /// text #= value;\n /// });\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func forEach(self : Map, operation : (K, V) -> ()) = Internal.forEach(self, operation);\n\n /// Filter entries in a new map.\n /// Returns a new map that only contains the key-value pairs\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numberNames = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// let evenNames = Map.filter(numberNames, Nat.compare, func (key, value) {\n /// key % 2 == 0\n /// });\n ///\n /// assert Iter.toArray(Map.entries(evenNames)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Map, compare : (implicit : (K, K) -> Order.Order), criterion : (K, V) -> Bool) : Map = Internal.filter(self, compare, criterion);\n\n /// Given a `map`, comparison `compare` and function `f`,\n /// constructs a new map ordered by `compare`, by applying `f` to each entry in `map`.\n /// For each entry `(k, v)` in the old map, if `f` evaluates to `null`, the entry is discarded.\n /// Otherwise, the entry is transformed into a new entry `(k, v2)`, where\n /// the new value `v2` is the result of applying `f` to `(k, v)`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, val : Text) : ?Text {\n /// if(key == 0) {null}\n /// else { ?(\"Twenty \" # val)}\n /// };\n ///\n /// let newMap = Map.filterMap(map, Nat.compare, f);\n ///\n /// assert Iter.toArray(Map.entries(newMap)) == [(1, \"Twenty One\"), (2, \"Twenty Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Map, compare : (implicit : (K, K) -> Order.Order), f : (K, V1) -> ?V2) : Map = Internal.mapFilter(self, compare : (K, K) -> Order.Order, f);\n\n /// Validate the representation invariants of the given `map`.\n /// Assert if any invariants are violated.\n public func assertValid(self : Map, compare : (implicit : (K, K) -> Order.Order)) : () = Internal.validate(self, compare);\n\n /// Converts the `map` to its textual representation using `keyFormat` and `valueFormat` to convert each key and value to `Text`.\n ///\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// assert Map.toText(map, Nat.toText, func t { t }) == \"PureMap{(0, Zero), (1, One), (2, Two)}\";\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `keyFormat` and `valueFormat` run in O(1) time and space.\n public func toText(self : Map, keyFormat : (implicit : (toText : K -> Text)), valueFormat : (implicit : (toText : V -> Text))) : Text {\n var text = \"PureMap{\";\n var sep = \"\";\n for ((k, v) in entries(self)) {\n text #= sep # \"(\" # keyFormat(k) # \", \" # valueFormat(v) # \")\";\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Test whether two immutable maps have equal entries.\n /// Assumes both maps are ordered equivalently.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter([(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(), Nat.compare);\n /// let map2 = Map.fromIter([(2, \"Two\"), (1, \"One\"), (0, \"Zero\")].values(), Nat.compare);\n /// assert(Map.equal(map1, map2, Nat.compare, Text.equal));\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func equal(self : Map, other : Map, compare : (implicit : (K, K) -> Order.Order), equal : (implicit : (V, V) -> Bool)) : Bool {\n if (self.size != other.size) {\n return false\n };\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n let next1 = iterator1.next();\n let next2 = iterator2.next();\n switch (next1, next2) {\n case (null, null) {\n return true\n };\n case (?(key1, value1), ?(key2, value2)) {\n if (not (compare(key1, key2) == #equal) or not equal(value1, value2)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Compare two maps by primarily comparing keys and secondarily values.\n /// Both maps are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `map1` is less than `map2` if:\n /// * the pairwise iteration hits a entry pair `entry1` and `entry2` where\n /// `entry1` is less than `entry2` and all preceding entry pairs are equal, or,\n /// * `map1` is a strict prefix of `map2`, i.e. `map2` has more entries than `map1`\n /// and all entries of `map1` occur at the beginning of iteration `map2`.\n /// `entry1` is less than `entry2` if:\n /// * the key of `entry1` is less than the key of `entry2`, or\n /// * `entry1` and `entry2` have equal keys and the value of `entry1` is less than\n /// the value of `entry2`.\n /// Equal:\n /// `map1` and `map2` have same series of equal entries by pairwise iteration.\n /// Greater:\n /// `map1` is neither less nor equal `map2`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter([(0, \"Zero\"), (1, \"One\")].values(), Nat.compare);\n /// let map2 = Map.fromIter([(0, \"Zero\"), (2, \"Two\")].values(), Nat.compare);\n ///\n /// assert Map.compare(map1, map2, Nat.compare, Text.compare) == #less;\n /// assert Map.compare(map1, map1, Nat.compare, Text.compare) == #equal;\n /// assert Map.compare(map2, map1, Nat.compare, Text.compare) == #greater\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that `compareKey` and `compareValue` have runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Map, other : Map, compareKey : (implicit : (compare : (K, K) -> Order.Order)), compareValue : (implicit : (compare : (V, V) -> Order.Order))) : Order.Order {\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?(key1, value1), ?(key2, value2)) {\n let keyComparison = compareKey(key1, key2);\n if (keyComparison != #equal) {\n return keyComparison\n };\n let valueComparison = compareValue(value1, value2);\n if (valueComparison != #equal) {\n return valueComparison\n }\n }\n }\n }\n };\n\n module Internal {\n\n public func empty() : Map { { size = 0; root = #leaf } };\n\n public func fromIter(i : Iter.Iter<(K, V)>, compare : (K, K) -> Order.Order) : Map {\n var map = #leaf : Tree;\n var size = 0;\n for (val in i) {\n map := add(map, compare, val.0, val.1);\n size += 1\n };\n { root = map; size }\n };\n\n type List = Types.Pure.List;\n\n type IterRep = List<{ #tr : Tree; #xy : (K, V) }>;\n\n public func iter(map : Tree, direction : { #fwd; #bwd }) : Iter.Iter<(K, V)> {\n let turnLeftFirst : MapTraverser = func(l, x, y, r, ts) {\n ?(#tr(l), ?(#xy(x, y), ?(#tr(r), ts)))\n };\n\n let turnRightFirst : MapTraverser = func(l, x, y, r, ts) {\n ?(#tr(r), ?(#xy(x, y), ?(#tr(l), ts)))\n };\n\n switch direction {\n case (#fwd) IterMap(map, turnLeftFirst);\n case (#bwd) IterMap(map, turnRightFirst)\n }\n };\n\n type MapTraverser = (Tree, K, V, Tree, IterRep) -> IterRep;\n\n class IterMap(tree : Tree, mapTraverser : MapTraverser) {\n var trees : IterRep = ?(#tr(tree), null);\n public func next() : ?(K, V) {\n switch (trees) {\n case (null) { null };\n case (?(#tr(#leaf), ts)) {\n trees := ts;\n next()\n };\n case (?(#xy(xy), ts)) {\n trees := ts;\n ?xy\n };\n case (?(#tr(#red(l, x, y, r)), ts)) {\n trees := mapTraverser(l, x, y, r, ts);\n next()\n };\n case (?(#tr(#black(l, x, y, r)), ts)) {\n trees := mapTraverser(l, x, y, r, ts);\n next()\n }\n }\n }\n };\n\n public func map(map : Map, f : (K, V1) -> V2) : Map {\n func mapRec(m : Tree) : Tree {\n switch m {\n case (#leaf) { #leaf };\n case (#red(l, x, y, r)) {\n #red(mapRec l, x, f(x, y), mapRec r)\n };\n case (#black(l, x, y, r)) {\n #black(mapRec l, x, f(x, y), mapRec r)\n }\n }\n };\n { size = map.size; root = mapRec(map.root) }\n };\n\n public func foldLeft(\n map : Tree,\n base : Accum,\n combine : (Accum, Key, Value) -> Accum\n ) : Accum {\n switch (map) {\n case (#leaf) { base };\n case (#red(l, k, v, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, k, v);\n foldLeft(r, middle, combine)\n };\n case (#black(l, k, v, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, k, v);\n foldLeft(r, middle, combine)\n }\n }\n };\n\n public func foldRight(\n map : Tree,\n base : Accum,\n combine : (Key, Value, Accum) -> Accum\n ) : Accum {\n switch (map) {\n case (#leaf) { base };\n case (#red(l, k, v, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(k, v, right);\n foldRight(l, middle, combine)\n };\n case (#black(l, k, v, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(k, v, right);\n foldRight(l, middle, combine)\n }\n }\n };\n\n public func forEach(map : Map, operation : (K, V) -> ()) {\n func combine(_acc : Null, key : K, value : V) : Null {\n operation(key, value);\n null\n };\n ignore foldLeft(map.root, null, combine)\n };\n\n public func filter(map : Map, compare : (K, K) -> Order.Order, criterion : (K, V) -> Bool) : Map {\n var size = 0;\n func combine(acc : Tree, key : K, value : V) : Tree {\n if (criterion(key, value)) {\n size += 1;\n add(acc, compare, key, value)\n } else acc\n };\n { root = foldLeft(map.root, #leaf, combine); size }\n };\n\n public func mapFilter(map : Map, compare : (K, K) -> Order.Order, f : (K, V1) -> ?V2) : Map {\n var size = 0;\n func combine(acc : Tree, key : K, value1 : V1) : Tree {\n switch (f(key, value1)) {\n case null { acc };\n case (?value2) {\n size += 1;\n add(acc, compare, key, value2)\n }\n }\n };\n { root = foldLeft(map.root, #leaf, combine); size }\n };\n\n public func get(t : Tree, compare : (K, K) -> Order.Order, x : K) : ?V {\n switch t {\n case (#red(l, x1, y1, r)) {\n switch (compare(x, x1)) {\n case (#less) { get(l, compare, x) };\n case (#equal) { ?y1 };\n case (#greater) { get(r, compare, x) }\n }\n };\n case (#black(l, x1, y1, r)) {\n switch (compare(x, x1)) {\n case (#less) { get(l, compare, x) };\n case (#equal) { ?y1 };\n case (#greater) { get(r, compare, x) }\n }\n };\n case (#leaf) { null }\n }\n };\n\n public func contains(m : Tree, compare : (K, K) -> Order.Order, key : K) : Bool {\n switch (get(m, compare, key)) {\n case (null) { false };\n case (_) { true }\n }\n };\n\n public func maxEntry(m : Tree) : ?(K, V) {\n func rightmost(m : Tree) : (K, V) {\n switch m {\n case (#red(_, k, v, #leaf)) { (k, v) };\n case (#red(_, _, _, r)) { rightmost(r) };\n case (#black(_, k, v, #leaf)) { (k, v) };\n case (#black(_, _, _, r)) { rightmost(r) };\n case (#leaf) { Runtime.trap \"pure/Map.maxEntry() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?rightmost(m) }\n }\n };\n\n public func minEntry(m : Tree) : ?(K, V) {\n func leftmost(m : Tree) : (K, V) {\n switch m {\n case (#red(#leaf, k, v, _)) { (k, v) };\n case (#red(l, _, _, _)) { leftmost(l) };\n case (#black(#leaf, k, v, _)) { (k, v) };\n case (#black(l, _, _, _)) { leftmost(l) };\n case (#leaf) { Runtime.trap \"pure/Map.minEntry() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?leftmost(m) }\n }\n };\n\n public func all(m : Tree, pred : (K, V) -> Bool) : Bool {\n switch m {\n case (#red(l, k, v, r)) {\n pred(k, v) and all(l, pred) and all(r, pred)\n };\n case (#black(l, k, v, r)) {\n pred(k, v) and all(l, pred) and all(r, pred)\n };\n case (#leaf) { true }\n }\n };\n\n public func any(m : Tree, pred : (K, V) -> Bool) : Bool {\n switch m {\n case (#red(l, k, v, r)) {\n pred(k, v) or any(l, pred) or any(r, pred)\n };\n case (#black(l, k, v, r)) {\n pred(k, v) or any(l, pred) or any(r, pred)\n };\n case (#leaf) { false }\n }\n };\n\n func redden(t : Tree) : Tree {\n switch t {\n case (#black(l, x, y, r)) { (#red(l, x, y, r)) };\n case _ {\n Runtime.trap \"pure/Map.redden() impossible\"\n }\n }\n };\n\n func lbalance(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (#red(#red(l1, x1, y1, r1), x2, y2, r2), r) {\n #red(\n #black(l1, x1, y1, r1),\n x2,\n y2,\n #black(r2, x, y, r)\n )\n };\n case (#red(l1, x1, y1, #red(l2, x2, y2, r2)), r) {\n #red(\n #black(l1, x1, y1, l2),\n x2,\n y2,\n #black(r2, x, y, r)\n )\n };\n case _ {\n #black(left, x, y, right)\n }\n }\n };\n\n func rbalance(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, y1, #red(l2, x2, y2, r2))) {\n #red(\n #black(l, x, y, l1),\n x1,\n y1,\n #black(l2, x2, y2, r2)\n )\n };\n case (l, #red(#red(l1, x1, y1, r1), x2, y2, r2)) {\n #red(\n #black(l, x, y, l1),\n x1,\n y1,\n #black(r1, x2, y2, r2)\n )\n };\n case _ {\n #black(left, x, y, right)\n }\n }\n };\n\n type ClashResolver = { old : A; new : A } -> A;\n\n func insertWith(\n m : Tree,\n compare : (K, K) -> Order.Order,\n key : K,\n val : V,\n onClash : ClashResolver\n ) : Tree {\n func ins(tree : Tree) : Tree {\n switch tree {\n case (#black(left, x, y, right)) {\n switch (compare(key, x)) {\n case (#less) {\n lbalance(ins left, x, y, right)\n };\n case (#greater) {\n rbalance(left, x, y, ins right)\n };\n case (#equal) {\n let newVal = onClash({ new = val; old = y });\n #black(left, key, newVal, right)\n }\n }\n };\n case (#red(left, x, y, right)) {\n switch (compare(key, x)) {\n case (#less) {\n #red(ins left, x, y, right)\n };\n case (#greater) {\n #red(left, x, y, ins right)\n };\n case (#equal) {\n let newVal = onClash { new = val; old = y };\n #red(left, key, newVal, right)\n }\n }\n };\n case (#leaf) {\n #red(#leaf, key, val, #leaf)\n }\n }\n };\n switch (ins m) {\n case (#red(left, x, y, right)) {\n #black(left, x, y, right)\n };\n case other { other }\n }\n };\n\n public func swap(\n m : Tree,\n compare : (K, K) -> Order.Order,\n key : K,\n val : V\n ) : (Tree, ?V) {\n var oldVal : ?V = null;\n func onClash(clash : { old : V; new : V }) : V {\n oldVal := ?clash.old;\n clash.new\n };\n let res = insertWith(m, compare, key, val, onClash);\n (res, oldVal)\n };\n\n public func add(\n m : Tree,\n compare : (K, K) -> Order.Order,\n key : K,\n val : V\n ) : Tree = swap(m, compare, key, val).0;\n\n func balLeft(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (#red(l1, x1, y1, r1), r) {\n #red(\n #black(l1, x1, y1, r1),\n x,\n y,\n r\n )\n };\n case (_, #black(l2, x2, y2, r2)) {\n rbalance(left, x, y, #red(l2, x2, y2, r2))\n };\n case (_, #red(#black(l2, x2, y2, r2), x3, y3, r3)) {\n #red(\n #black(left, x, y, l2),\n x2,\n y2,\n rbalance(r2, x3, y3, redden r3)\n )\n };\n case _ { Runtime.trap \"pure/Map.balLeft() impossible\" }\n }\n };\n\n func balRight(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, y1, r1)) {\n #red(\n l,\n x,\n y,\n #black(l1, x1, y1, r1)\n )\n };\n case (#black(l1, x1, y1, r1), r) {\n lbalance(#red(l1, x1, y1, r1), x, y, r)\n };\n case (#red(l1, x1, y1, #black(l2, x2, y2, r2)), r3) {\n #red(\n lbalance(redden l1, x1, y1, l2),\n x2,\n y2,\n #black(r2, x, y, r3)\n )\n };\n case _ { Runtime.trap \"pure/Map.balRight() impossible\" }\n }\n };\n\n func append(left : Tree, right : Tree) : Tree {\n switch (left, right) {\n case (#leaf, _) { right };\n case (_, #leaf) { left };\n case (\n #red(l1, x1, y1, r1),\n #red(l2, x2, y2, r2)\n ) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, y3, r3)) {\n #red(\n #red(l1, x1, y1, l3),\n x3,\n y3,\n #red(r3, x2, y2, r2)\n )\n };\n case r1l2 {\n #red(l1, x1, y1, #red(r1l2, x2, y2, r2))\n }\n }\n };\n case (t1, #red(l2, x2, y2, r2)) {\n #red(append(t1, l2), x2, y2, r2)\n };\n case (#red(l1, x1, y1, r1), t2) {\n #red(l1, x1, y1, append(r1, t2))\n };\n case (#black(l1, x1, y1, r1), #black(l2, x2, y2, r2)) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, y3, r3)) {\n #red(\n #black(l1, x1, y1, l3),\n x3,\n y3,\n #black(r3, x2, y2, r2)\n )\n };\n case r1l2 {\n balLeft(\n l1,\n x1,\n y1,\n #black(r1l2, x2, y2, r2)\n )\n }\n }\n }\n }\n };\n\n public func delete(m : Tree, compare : (K, K) -> Order.Order, key : K) : Tree = remove(m, compare, key).0;\n\n public func remove(tree : Tree, compare : (K, K) -> Order.Order, x : K) : (Tree, ?V) {\n var y0 : ?V = null;\n func delNode(left : Tree, x1 : K, y1 : V, right : Tree) : Tree {\n switch (compare(x, x1)) {\n case (#less) {\n let newLeft = del left;\n switch left {\n case (#black(_, _, _, _)) {\n balLeft(newLeft, x1, y1, right)\n };\n case _ {\n #red(newLeft, x1, y1, right)\n }\n }\n };\n case (#greater) {\n let newRight = del right;\n switch right {\n case (#black(_, _, _, _)) {\n balRight(left, x1, y1, newRight)\n };\n case _ {\n #red(left, x1, y1, newRight)\n }\n }\n };\n case (#equal) {\n y0 := ?y1;\n append(left, right)\n }\n }\n };\n func del(tree : Tree) : Tree {\n switch tree {\n case (#red(left, x, y, right)) {\n delNode(left, x, y, right)\n };\n case (#black(left, x, y, right)) {\n delNode(left, x, y, right)\n };\n case (#leaf) {\n tree\n }\n }\n };\n switch (del(tree)) {\n case (#red(left, x, y, right)) { (#black(left, x, y, right), y0) };\n case other { (other, y0) }\n }\n };\n\n // Test helper\n public func validate(rbMap : Map, comp : (K, K) -> Order.Order) {\n ignore blackDepth(rbMap.root, comp)\n };\n\n func blackDepth(node : Tree, comp : (K, K) -> Order.Order) : Nat {\n func checkNode(left : Tree, key : K, right : Tree) : Nat {\n checkKey(left, func(x : K) : Bool { comp(x, key) == #less });\n checkKey(right, func(x : K) : Bool { comp(x, key) == #greater });\n let leftBlacks = blackDepth(left, comp);\n let rightBlacks = blackDepth(right, comp);\n assert (leftBlacks == rightBlacks);\n leftBlacks\n };\n switch node {\n case (#leaf) 0;\n case (#red(left, key, _, right)) {\n let leftBlacks = checkNode(left, key, right);\n assert (not isRed(left));\n assert (not isRed(right));\n leftBlacks\n };\n case (#black(left, key, _, right)) {\n checkNode(left, key, right) + 1\n }\n }\n };\n\n func isRed(node : Tree) : Bool {\n switch node {\n case (#red(_, _, _, _)) true;\n case _ false\n }\n };\n\n func checkKey(node : Tree, isValid : K -> Bool) {\n switch node {\n case (#leaf) {};\n case (#red(_, key, _, _)) {\n assert (isValid(key))\n };\n case (#black(_, key, _, _)) {\n assert (isValid(key))\n }\n }\n }\n };\n\n}\n"},"List.mo":{"content":"/// A mutable growable array data structure with efficient random access and dynamic resizing.\n/// `List` provides O(1) access time and O(sqrt(n)) memory overhead. In contrast, `pure/List` is a purely functional linked list.\n/// Can be declared `stable` for orthogonal persistence.\n///\n/// This implementation is adapted with permission from the `vector` Mops package created by Research AG.\n///\n/// Copyright: 2023 MR Research AG\n/// Main author: Andrii Stepanov (AStepanov25)\n/// Contributors: Timo Hanke (timohanke), Andy Gura (andygura), react0r-com\n///\n/// ```motoko name=import\n/// import List \"mo:core/List\";\n/// ```\n\nimport PureList \"pure/List\";\nimport Prim \"mo:⛔\";\nimport Nat32 \"Nat32\";\nimport Array \"Array\";\nimport Nat \"Nat\";\nimport Option \"Option\";\nimport VarArray \"VarArray\";\nimport Types \"Types\";\n\nmodule {\n /// `List` provides a mutable list of elements of type `T`.\n /// Based on the paper \"Resizable Arrays in Optimal Time and Space\" by Brodnik, Carlsson, Demaine, Munro and Sedgewick (1999).\n /// Since this is internally a two-dimensional array the access times for put and get operations\n /// will naturally be 2x slower than Buffer and Array. However, Array is not resizable and Buffer\n /// has `O(size)` memory waste.\n ///\n /// The maximum number of elements in a `List` is 2^32.\n public type List = Types.List;\n\n let INTERNAL_ERROR = \"List: internal error\";\n\n /// Creates a new empty List for elements of type T.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty(); // Creates a new List\n /// ```\n public func empty() : List = {\n // the first block is always empty and is present in each List\n // this is done to optimize locate, at, get, etc\n var blocks = [var [var]];\n // can't be 0 in any List\n var blockIndex = 1;\n var elementIndex = 0\n };\n\n /// Returns a new list with capacity and size 1, containing `element`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.singleton(1);\n /// assert List.toText(list, Nat.toText) == \"List[1]\";\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func singleton(element : T) : List = {\n var blockIndex = 2;\n var blocks = [var [var], [var ?element]];\n var elementIndex = 0\n };\n\n func repeatInternal(initValue : ?T, size : Nat) : List {\n let (blockIndex, elementIndex) = locate(size);\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n var i = 1;\n while (i < blockIndex) {\n dataBlocks[i] := VarArray.repeat(initValue, dataBlockSize(i));\n i += 1\n };\n if (elementIndex != 0) {\n dataBlocks[blockIndex] := if (Option.isNull(initValue)) VarArray.repeat(\n null,\n dataBlockSize(blockIndex)\n ) else VarArray.tabulate(\n dataBlockSize(blockIndex),\n func i = if (i < elementIndex) initValue else null\n )\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Creates a new List with `size` copies of the initial value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.repeat(2, 4);\n /// assert List.toArray(list) == [2, 2, 2, 2];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func repeat(initValue : T, size : Nat) : List = repeatInternal(?initValue, size);\n\n /// Fills all elements in the list with the given value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3]);\n /// List.fill(list, 0); // fills the list with 0\n /// assert List.toArray(list) == [0, 0, 0];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func fill(self : List, value : T) {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = if (i == blockIndex) elementIndex else db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n db[j] := ?value;\n j += 1\n };\n i += 1\n }\n };\n\n /// Converts a mutable `List` to a purely functional `PureList`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3]);\n /// let pureList = List.toPure(list); // converts to immutable PureList\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n /// @deprecated M0235\n public func toPure(self : List) : PureList.List {\n var result : PureList.List = null;\n\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) result := ?(x, result);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n result\n };\n\n /// Converts a purely functional `PureList` to a `List`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import PureList \"mo:core/pure/List\";\n ///\n /// let pureList = PureList.fromArray([1, 2, 3]);\n /// let list = List.fromPure(pureList); // converts to List\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n /// @deprecated M0235\n public func fromPure(pure : PureList.List) : List {\n var p = pure;\n var list = empty();\n loop {\n switch (p) {\n case (?(x, xs)) {\n add(list, x);\n p := xs\n };\n case null return list\n }\n }\n };\n\n func addRepeatInternal(list : List, initValue : ?T, count : Nat) {\n let (b, e) = locate(size(list) + count);\n let blocksCount = newIndexBlockLength(Nat32.fromNat(if (e == 0) b - 1 else b));\n\n let oldBlocksCount = list.blocks.size();\n if (oldBlocksCount < blocksCount) {\n let oldBlocks = list.blocks;\n let blocks = VarArray.repeat<[var ?T]>([var], blocksCount);\n var i = 0;\n while (i < oldBlocksCount) {\n blocks[i] := oldBlocks[i];\n i += 1\n };\n list.blocks := blocks\n };\n\n let blocks = list.blocks;\n var blockIndex = list.blockIndex;\n var elementIndex = list.elementIndex;\n\n var cnt = count;\n label L while (cnt > 0) {\n if (blocks[blockIndex].size() == 0) {\n let dbSize = dataBlockSize(blockIndex);\n if (cnt >= dbSize) {\n blocks[blockIndex] := VarArray.repeat(initValue, dbSize);\n blockIndex += 1;\n cnt -= dbSize;\n continue L\n };\n blocks[blockIndex] := VarArray.repeat(null, dbSize)\n };\n\n let block = blocks[blockIndex];\n let dbSize = block.size();\n let to = Nat.min(elementIndex + cnt, dbSize);\n cnt -= to - elementIndex;\n\n while (elementIndex < to) {\n block[elementIndex] := initValue;\n elementIndex += 1\n };\n\n if (elementIndex == dbSize) {\n elementIndex := 0;\n blockIndex += 1\n }\n };\n\n list.blockIndex := blockIndex;\n list.elementIndex := elementIndex\n };\n\n private func reserve(list : List, size : Nat) {\n let blockIndex = list.blockIndex;\n let elementIndex = list.elementIndex;\n\n addRepeatInternal(list, null, size);\n\n list.blockIndex := blockIndex;\n list.elementIndex := elementIndex\n };\n\n /// Add to list `count` copies of the initial value.\n ///\n /// ```motoko include=import\n /// let list = List.repeat(2, 4); // [2, 2, 2, 2]\n /// List.addRepeat(list, 2, 1); // [2, 2, 2, 2, 1, 1]\n /// ```\n ///\n /// The maximum number of elements in a `List` is 2^32.\n ///\n /// Runtime: `O(count)`\n public func addRepeat(self : List, initValue : T, count : Nat) = addRepeatInternal(self, ?initValue, count);\n\n /// Truncates the list to the specified size.\n /// If the new size is larger than the current size, it will do nothing.\n /// If the new size is equal to the current list size, after the operation list will be equal to cloned version of itself.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// List.truncate(list, 3); // list is now [1, 2, 3]\n /// assert List.toArray(list) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func truncate(self : List, newSize : Nat) {\n if (newSize > size(self)) return;\n\n // if newSize == size(self) then after the operation self will be equal to List.clone(self)\n let (blockIndex, elementIndex) = locate(newSize);\n self.blockIndex := blockIndex;\n self.elementIndex := elementIndex;\n let newBlocksCount = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) blockIndex - 1 else blockIndex));\n\n let newBlocks = if (newBlocksCount < self.blocks.size()) {\n let oldDataBlocks = self.blocks;\n self.blocks := VarArray.tabulate<[var ?T]>(newBlocksCount, func(i) = oldDataBlocks[i]);\n self.blocks\n } else self.blocks;\n\n var i = if (elementIndex == 0) blockIndex else blockIndex + 1;\n while (i < newBlocksCount) {\n newBlocks[i] := [var];\n i += 1\n };\n if (elementIndex != 0) {\n let block = newBlocks[blockIndex];\n var i = elementIndex;\n var to = block.size();\n while (i < to) {\n block[i] := null;\n i += 1\n }\n }\n };\n\n /// Resets the list to size 0, de-referencing all elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n /// List.clear(list); // list is now empty\n /// assert List.toArray(list) == [];\n /// ```\n ///\n /// Runtime: `O(1)`\n public func clear(self : List) {\n self.blocks := [var [var]];\n self.blockIndex := 1;\n self.elementIndex := 0\n };\n\n /// Creates a list of size `size`. Each element at index i\n /// is created by applying `generator` to i.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.tabulate(4, func i = i * 2);\n /// assert List.toArray(list) == [0, 2, 4, 6];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `generator` runs in O(1) time and space.\n public func tabulate(size : Nat, generator : Nat -> T) : List {\n let (blockIndex, elementIndex) = locate(size);\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n\n var i = 1;\n var pos = 0;\n\n while (i < blockIndex) {\n let len = dataBlockSize(i);\n dataBlocks[i] := VarArray.tabulate(len, func i = ?generator(pos + i));\n pos += len;\n i += 1\n };\n if (elementIndex != 0 and blockIndex < blocks) {\n dataBlocks[i] := VarArray.tabulate(\n dataBlockSize(blockIndex),\n func i = if (i < elementIndex) ?generator(pos + i) else null\n )\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Combines a list of lists into a single list. Retains the original\n /// ordering of the elements.\n ///\n /// This has better performance compared to `List.join()`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let lists = List.fromArray>([\n /// List.fromArray([0, 1, 2]), List.fromArray([2, 3]), List.fromArray([]), List.fromArray([4])\n /// ]);\n /// let flatList = List.flatten(lists);\n /// assert List.equal(flatList, List.fromArray([0, 1, 2, 2, 3, 4]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in list)\n ///\n /// Space: O(number of elements in list)\n public func flatten(self : List>) : List {\n var sz = 0;\n forEach>(self, func(sublist) = sz += size(sublist));\n\n let result = repeatInternal(null, sz);\n result.blockIndex := 1;\n result.elementIndex := 0;\n\n forEach>(\n self,\n func(sublist) {\n forEach(\n sublist,\n func(item) {\n add(result, item)\n }\n )\n }\n );\n result\n };\n\n /// Combines an iterator of lists into a single list.\n /// Retains the original ordering of the elements.\n ///\n /// Consider using `List.flatten()` for better performance.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let lists = [List.fromArray([0, 1, 2]), List.fromArray([2, 3]), List.fromArray([]), List.fromArray([4])];\n /// let joinedList = List.join(lists.vals());\n /// assert List.equal(joinedList, List.fromArray([0, 1, 2, 2, 3, 4]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in list)\n ///\n /// Space: O(number of elements in list)\n public func join(self : Types.Iter>) : List {\n var result = empty();\n for (list in self) {\n reserve(result, size(list));\n forEach(list, func item = addUnsafe(result, item))\n };\n result\n };\n\n /// Returns a copy of a List, with the same size.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 1);\n ///\n /// let clone = List.clone(list);\n /// assert List.toArray(clone) == [1];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func clone(self : List) : List = {\n var blocks = VarArray.tabulate<[var ?T]>(\n Nat.min(\n newIndexBlockLength(Nat32.fromNat(if (self.elementIndex == 0) self.blockIndex - 1 else self.blockIndex)),\n self.blocks.size()\n ),\n func(i) = VarArray.clone(self.blocks[i])\n );\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n };\n\n /// Creates a new list by applying the provided function to each element in the input list.\n /// The resulting list has the same size as the input list.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.singleton(123);\n /// let textList = List.map(list, Nat.toText);\n /// assert List.toArray(textList) == [\"123\"];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func map(self : List, f : T -> R) : List {\n let blocksCount = Nat.min(\n newIndexBlockLength(Nat32.fromNat(if (self.elementIndex == 0) self.blockIndex - 1 else self.blockIndex)),\n self.blocks.size()\n );\n let blocks = VarArray.repeat<[var ?R]>([var], blocksCount);\n\n var i = 1;\n label l while (i < blocksCount) {\n let oldBlock = self.blocks[i];\n let blockSize = oldBlock.size();\n let newBlock = VarArray.repeat(null, blockSize);\n blocks[i] := newBlock;\n var j = 0;\n\n while (j < blockSize) {\n switch (oldBlock[j]) {\n case (?item) newBlock[j] := ?f(item);\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n }\n };\n\n /// Applies `f` to each element of `list` in place,\n /// retaining the original ordering of elements.\n /// This modifies the original list.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([0, 1, 2, 3]);\n /// List.mapInPlace(list, func x = x * 3);\n /// assert List.equal(list, List.fromArray([0, 3, 6, 9]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapInPlace(self : List, f : T -> T) {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) db[j] := ?f(x);\n case null return\n };\n j += 1\n };\n i += 1\n }\n };\n\n /// Creates a new list by applying `f` to each element in `list` and its index.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([10, 10, 10, 10]);\n /// let newList = List.mapEntries(list, func (x, i) = i * x);\n /// assert List.equal(newList, List.fromArray([0, 10, 20, 30]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapEntries(self : List, f : (T, Nat) -> R) : List {\n let blocks = VarArray.repeat<[var ?R]>([var], self.blocks.size());\n let blocksCount = self.blocks.size();\n\n var index = 0;\n\n var i = 1;\n label l while (i < blocksCount) {\n let oldBlock = self.blocks[i];\n let blockSize = oldBlock.size();\n let newBlock = VarArray.repeat(null, blockSize);\n blocks[i] := newBlock;\n var j = 0;\n\n while (j < blockSize) {\n switch (oldBlock[j]) {\n case (?item) newBlock[j] := ?f(item, index);\n case null break l\n };\n j += 1;\n index += 1\n };\n i += 1\n };\n\n {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n }\n };\n\n /// Creates a new list by applying `f` to each element in `list`.\n /// If any invocation of `f` produces an `#err`, returns an `#err`. Otherwise\n /// returns an `#ok` containing the new list.\n ///\n /// ```motoko include=import\n /// import Result \"mo:core/Result\";\n ///\n /// let list = List.fromArray([4, 3, 2, 1, 0]);\n /// // divide 100 by every element in the list\n /// let result = List.mapResult(list, func x {\n /// if (x > 0) {\n /// #ok(100 / x)\n /// } else {\n /// #err \"Cannot divide by zero\"\n /// }\n /// });\n /// assert Result.isErr(result);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapResult(self : List, f : T -> Types.Result) : Types.Result, E> {\n var error : ?E = null;\n\n let blocks = VarArray.repeat<[var ?R]>([var], self.blocks.size());\n let blocksCount = self.blocks.size();\n\n var i = 1;\n while (i < blocksCount) {\n let oldBlock = self.blocks[i];\n let blockSize = oldBlock.size();\n let newBlock = VarArray.repeat(null, blockSize);\n blocks[i] := newBlock;\n var j = 0;\n\n while (j < blockSize) {\n switch (oldBlock[j]) {\n case (?item) newBlock[j] := switch (f(item)) {\n case (#ok x) ?x;\n case (#err e) switch (error) {\n case (null) {\n error := ?e;\n null\n };\n case (?_) null\n }\n };\n case null return switch (error) {\n case (null) return #ok {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n };\n case (?e) return #err e\n }\n };\n j += 1\n };\n i += 1\n };\n\n switch (error) {\n case (null) return #ok {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n };\n case (?e) return #err e\n }\n };\n\n /// Returns a new list containing only the elements from `list` for which the predicate returns true.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// let evenNumbers = List.filter(list, func x = x % 2 == 0);\n /// assert List.toArray(evenNumbers) == [2, 4];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func filter(self : List, predicate : T -> Bool) : List {\n let filtered = empty();\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return filtered;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (predicate(x)) add(filtered, x);\n case null return filtered\n };\n j += 1\n };\n i += 1\n };\n\n filtered\n };\n\n /// Retains only the elements in `list` for which the predicate returns true.\n /// Modifies the original list in place.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// List.retain(list, func x = x % 2 == 0);\n /// assert List.toArray(list) == [2, 4];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(sqrt(size))` if `list` was truncated otherwise `O(1)`\n public func retain(self : List, predicate : T -> Bool) {\n self.blockIndex := 1;\n self.elementIndex := 0;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n label l while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) break l;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (predicate(x)) addUnsafe(self, x);\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n truncate(self, size(self))\n };\n\n /// Returns a new list containing all elements from `list` for which the function returns ?element.\n /// Discards all elements for which the function returns null.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// let doubled = List.filterMap(list, func x = if (x % 2 == 0) ?(x * 2) else null);\n /// assert List.toArray(doubled) == [4, 8];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func filterMap(self : List, f : T -> ?R) : List {\n let filtered = empty();\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return filtered;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (f(x)) {\n case (?y) add(filtered, y);\n case null {}\n };\n case null return filtered\n };\n j += 1\n };\n i += 1\n };\n\n filtered\n };\n\n /// Creates a new list by applying `k` to each element in `list`,\n /// and concatenating the resulting iterators in order.\n ///\n /// ```motoko include=import\n /// import Int \"mo:core/Int\"\n ///\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// let newList = List.flatMap(list, func x = [x, -x].vals());\n /// assert List.equal(newList, List.fromArray([1, -1, 2, -2, 3, -3, 4, -4]), Int.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `k` runs in O(1) time and space.\n public func flatMap(self : List, k : T -> Types.Iter) : List {\n let result = empty();\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return result;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) for (y in k(x)) add(result, y);\n case _ return result\n };\n j += 1\n };\n i += 1\n };\n\n result\n };\n\n func indexByBlockElement(blockIndex : Nat, elementIndex : Nat) : Nat {\n let d = Nat32.fromNat(blockIndex);\n\n // We call all data blocks of the same capacity an \"epoch\". We number the epochs 0,1,2,...\n // A data block is in epoch e iff the data block has capacity 2 ** e.\n // Each epoch starting with epoch 1 spans exactly two super blocks.\n // Super block s falls in epoch ceil(s/2).\n\n // epoch of last data block\n // e = 32 - lz\n let lz = Nat32.bitcountLeadingZero(d / 3);\n\n // capacity of all prior epochs combined\n // capacity_before_e = 2 * 4 ** (e - 1) - 1\n\n // data blocks in all prior epochs combined\n // blocks_before_e = 3 * 2 ** (e - 1) - 2\n\n // then size = d * 2 ** e + i - c\n // where c = blocks_before_e * 2 ** e - capacity_before_e\n\n // there can be overflows, but the result is without overflows, so use addWrap and subWrap\n // we don't erase bits by >>, so to use <>> is ok\n Nat32.toNat((d -% (1 <>> lz)) <>> lz +% Nat32.fromNat(elementIndex))\n };\n\n /// Returns the current number of elements in the list.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// assert List.size(list) == 0\n /// ```\n ///\n /// Runtime: `O(1)` (with some internal calculations)\n public func size(self : List) : Nat {\n // due to the design of List (blockIndex, elementIndex) pair points\n // exactly to the place where size-th element should be added\n // so, it's the inlined version of indexByBlockElement\n let d = Nat32.fromNat(self.blockIndex);\n let lz = Nat32.bitcountLeadingZero(d / 3);\n Nat32.toNat((d -% (1 <>> lz)) <>> lz +% Nat32.fromNat(self.elementIndex))\n };\n\n func dataBlockSize(blockIndex : Nat) : Nat {\n // formula for the size of given blockIndex\n // don't call it for blockIndex == 0\n Nat32.toNat(1 <>> Nat32.bitcountLeadingZero(Nat32.fromNat(blockIndex) / 3))\n };\n\n func newIndexBlockLength(blockIndex : Nat32) : Nat {\n if (blockIndex <= 1) 2 else {\n let s = 30 - Nat32.bitcountLeadingZero(blockIndex);\n Nat32.toNat(((blockIndex >> s) +% 1) << s)\n }\n };\n\n func growIndexBlockIfNeeded(list : List) {\n if (list.blocks.size() == list.blockIndex) {\n let newBlocks = VarArray.repeat<[var ?T]>([var], newIndexBlockLength(Nat32.fromNat(list.blockIndex)));\n var i = 0;\n while (i < list.blockIndex) {\n newBlocks[i] := list.blocks[i];\n i += 1\n };\n list.blocks := newBlocks\n }\n };\n\n func shrinkIndexBlockIfNeeded(list : List) {\n let blockIndex = Nat32.fromNat(list.blockIndex);\n // kind of index of the first block in the super block\n if ((blockIndex << Nat32.bitcountLeadingZero(blockIndex)) << 2 == 0) {\n let newLength = newIndexBlockLength(blockIndex);\n if (newLength < list.blocks.size()) {\n let newBlocks = VarArray.repeat<[var ?T]>([var], newLength);\n var i = 0;\n while (i < newLength) {\n newBlocks[i] := list.blocks[i];\n i += 1\n };\n list.blocks := newBlocks\n }\n }\n };\n\n /// Adds a single element to the end of a List,\n /// allocating a new internal data block if needed,\n /// and resizing the internal index block if needed.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 0); // add 0 to list\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// assert List.toArray(list) == [0, 1, 2, 3];\n /// ```\n ///\n /// The maximum number of elements in a `List` is 2^32.\n ///\n /// Amortized Runtime: `O(1)`, Worst Case Runtime: `O(sqrt(n))`\n public func add(self : List, element : T) {\n var elementIndex = self.elementIndex;\n if (elementIndex == 0) {\n growIndexBlockIfNeeded(self);\n let blockIndex = self.blockIndex;\n\n // When removing last we keep one more data block, so can be not empty\n if (self.blocks[blockIndex].size() == 0) {\n self.blocks[blockIndex] := VarArray.repeat(\n null,\n dataBlockSize(blockIndex)\n )\n }\n };\n\n let lastDataBlock = self.blocks[self.blockIndex];\n\n lastDataBlock[elementIndex] := ?element;\n\n elementIndex += 1;\n if (elementIndex == lastDataBlock.size()) {\n elementIndex := 0;\n self.blockIndex += 1\n };\n self.elementIndex := elementIndex\n };\n\n // Add an element without checking and resizing the List\n private func addUnsafe(list : List, element : T) {\n var elementIndex = list.elementIndex;\n let lastDataBlock = list.blocks[list.blockIndex];\n lastDataBlock[elementIndex] := ?element;\n\n elementIndex += 1;\n if (elementIndex == lastDataBlock.size()) {\n elementIndex := 0;\n list.blockIndex += 1\n };\n list.elementIndex := elementIndex\n };\n\n /// Removes and returns the last item in the list or `null` if\n /// the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// assert List.removeLast(list) == ?11;\n /// assert List.removeLast(list) == ?10;\n /// assert List.removeLast(list) == null;\n /// ```\n ///\n /// Amortized Runtime: `O(1)`, Worst Case Runtime: `O(sqrt(n))`\n ///\n /// Amortized Space: `O(1)`, Worst Case Space: `O(sqrt(n))`\n public func removeLast(self : List) : ?T {\n var elementIndex = self.elementIndex;\n if (elementIndex == 0) {\n var blockIndex = self.blockIndex;\n if (blockIndex == 1) {\n return null\n };\n\n shrinkIndexBlockIfNeeded(self);\n\n blockIndex -= 1;\n elementIndex := self.blocks[blockIndex].size();\n\n // Keep one totally empty block when removing\n if (blockIndex + 2 < self.blocks.size()) self.blocks[blockIndex + 2] := [var];\n\n self.blockIndex := blockIndex\n };\n elementIndex -= 1;\n\n let lastDataBlock = self.blocks[self.blockIndex];\n\n let element = lastDataBlock[elementIndex];\n lastDataBlock[elementIndex] := null;\n\n self.elementIndex := elementIndex;\n return element\n };\n\n func locate(index : Nat) : (Nat, Nat) {\n // see comments in tests\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n if (lz & 1 == 0) {\n (Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2)), Nat32.toNat(i & (0xFFFF >> lz2)))\n } else {\n (Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2)), Nat32.toNat(i & (0x7FFF >> lz2)))\n }\n };\n\n /// Returns the element at index `index`. Indexing is zero-based.\n /// Traps if `index >= size`, error message may not be descriptive.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// assert List.at(list, 0) == 10;\n /// ```\n ///\n /// Runtime: `O(1)`\n public func at(self : List, index : Nat) : T {\n // inlined version of:\n // let (a,b) = locate(index);\n // switch(self.blocks[a][b]) {\n // case (?element) element;\n // case (null) Prim.trap \"\";\n // };\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n switch (\n if (lz & 1 == 0) {\n self.blocks[Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2))][Nat32.toNat(i & (0xFFFF >> lz2))]\n } else {\n self.blocks[Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2))][Nat32.toNat(i & (0x7FFF >> lz2))]\n }\n ) {\n case (?result) return result;\n case (_) Prim.trap \"List index out of bounds in get\"\n }\n };\n\n /// Returns the element at index `index` as an option.\n /// Returns `null` when `index >= size`. Indexing is zero-based.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// assert List.get(list, 0) == ?10;\n /// assert List.get(list, 2) == null;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n /// @deprecated M0235\n public func get(self : List, index : Nat) : ?T {\n // inlined version of locate\n let (a, b) = do {\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n if (lz & 1 == 0) {\n (Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2)), Nat32.toNat(i & (0xFFFF >> lz2)))\n } else {\n (Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2)), Nat32.toNat(i & (0x7FFF >> lz2)))\n }\n };\n if (a < self.blockIndex or self.elementIndex != 0 and a == self.blockIndex) {\n self.blocks[a][b]\n } else null\n };\n\n /// Overwrites the current element at `index` with `element`.\n /// Traps if `index` >= size, error message may not be descriptive. Indexing is zero-based.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.put(list, 0, 20); // overwrites 10 at index 0 with 20\n /// assert List.toArray(list) == [20];\n /// ```\n ///\n /// Runtime: `O(1)`\n public func put(self : List, index : Nat, value : T) {\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n let (block, element) = if (lz & 1 == 0) {\n (self.blocks[Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2))], Nat32.toNat(i & (0xFFFF >> lz2)))\n } else {\n (self.blocks[Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2))], Nat32.toNat(i & (0x7FFF >> lz2)))\n };\n\n switch (block[element]) {\n case (?_) block[element] := ?value;\n case _ Prim.trap \"List index out of bounds in put\"\n }\n };\n\n /// Sorts the elements in the list according to `compare`.\n /// Sort is deterministic, stable, and in-place.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 3);\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.sortInPlace(list, Nat.compare);\n /// assert List.toArray(list) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sortInPlace(self : List, compare : (implicit : (T, T) -> Types.Order)) {\n if (size(self) < 2) return;\n let array = toVarArray(self);\n\n VarArray.sortInPlace(array, compare);\n\n var index = 0;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?_) db[j] := ?array[index];\n case _ return\n };\n index += 1;\n j += 1\n };\n i += 1\n }\n };\n\n /// Sorts the elements in the list according to `compare`.\n /// Sort is deterministic, stable, and in-place.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 3);\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// let sorted = List.sort(list, Nat.compare);\n /// assert List.toArray(sorted) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sort(self : List, compare : (implicit : (T, T) -> Types.Order)) : List {\n let array = toVarArray(self);\n VarArray.sortInPlace(array, compare);\n fromVarArray(array)\n };\n\n /// Checks whether the `list` is sorted.\n ///\n /// Example:\n /// ```\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n /// assert List.isSorted(list, Nat.compare);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func isSorted(self : List, compare : (implicit : (T, T) -> Types.Order)) : Bool {\n var prev = switch (first(self)) {\n case (?x) x;\n case _ return true\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return true;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (compare(x, prev)) {\n case (#greater or #equal) prev := x;\n case (#less) return false\n };\n case null return true\n };\n j += 1\n };\n i += 1\n };\n\n true\n };\n\n /// Remove adjacent duplicates from the `list`, if the `list` is sorted all elements will be unique.\n ///\n /// Example:\n /// ```\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 1, 2, 2, 3]);\n /// List.deduplicate(list, Nat.equal);\n /// assert List.equal(list, List.fromArray([1, 2, 3]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func deduplicate(self : List, equal : (implicit : (T, T) -> Bool)) {\n var prev = switch (first(self)) {\n case (?x) x;\n case _ return\n };\n\n self.blockIndex := 1;\n self.elementIndex := 0;\n\n addUnsafe(self, prev);\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n label l while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return break l;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) {\n if (not equal(x, prev)) addUnsafe(self, x);\n prev := x\n };\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n truncate(self, size(self))\n };\n\n /// Finds the first index of `element` in `list` using equality of elements defined\n /// by `equal`. Returns `null` if `element` is not found.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.indexOf(list, Nat.equal, 3) == ?2;\n /// assert List.indexOf(list, Nat.equal, 5) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `equal` runs in `O(1)` time and space.\n public func indexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T) : ?Nat {\n if (isEmpty(self)) return null;\n nextIndexOf(self, equal, element, 0)\n };\n\n /// Returns the index of the next occurence of `element` in the `list` starting from the `from` index (inclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let list = List.fromArray(['c', 'o', 'f', 'f', 'e', 'e']);\n /// assert List.nextIndexOf(list, Char.equal, 'c', 0) == ?0;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 0) == ?2;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 2) == ?2;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 3) == ?3;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 4) == null;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func nextIndexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T, fromInclusive : Nat) : ?Nat {\n if (fromInclusive >= size(self)) Prim.trap \"List index out of bounds in nextIndexOf\";\n\n let (blockIndex, elementIndex) = locate(fromInclusive);\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = blockIndex;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return null;\n\n var j = if (i == blockIndex) elementIndex else 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (equal(x, element)) return ?indexByBlockElement(i, j);\n case null return null\n };\n j += 1\n };\n i += 1\n };\n null\n };\n\n /// Finds the last index of `element` in `list` using equality of elements defined\n /// by `equal`. Returns `null` if `element` is not found.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 2, 3, 4, 2, 2]);\n ///\n /// assert List.lastIndexOf(list, Nat.equal, 2) == ?5;\n /// assert List.lastIndexOf(list, Nat.equal, 5) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `equal` runs in `O(1)` time and space.\n public func lastIndexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = prevIndexOf(\n self,\n equal,\n element,\n size(self)\n );\n\n /// Returns the index of the previous occurence of `element` in the `list` starting from the `from` index (exclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let list = List.fromArray(['c', 'o', 'f', 'f', 'e', 'e']);\n /// assert List.prevIndexOf(list, Char.equal, 'c', List.size(list)) == ?0;\n /// assert List.prevIndexOf(list, Char.equal, 'e', List.size(list)) == ?5;\n /// assert List.prevIndexOf(list, Char.equal, 'e', 5) == ?4;\n /// assert List.prevIndexOf(list, Char.equal, 'e', 4) == null;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func prevIndexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T, fromExclusive : Nat) : ?Nat {\n if (fromExclusive > size(self)) Prim.trap \"List index out of bounds in prevIndexOf\";\n\n let blocks = self.blocks;\n let (blockIndex, elementIndex) = locate(fromExclusive);\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) if (equal(x, element)) return ?indexByBlockElement(i, j);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n null\n };\n\n /// Returns the first value in `list` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let list = List.fromArray([1, 9, 4, 8]);\n /// let found = List.find(list, func(x) { x > 8 });\n /// assert found == ?9;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func find(self : List, predicate : T -> Bool) : ?T {\n Option.map(findIndex(self, predicate), func(i) = at(self, i))\n };\n\n /// Finds the index of the first element in `list` for which `predicate` is true.\n /// Returns `null` if no such element is found.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.findIndex(list, func(i) { i % 2 == 0 }) == ?1;\n /// assert List.findIndex(list, func(i) { i > 5 }) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func findIndex(self : List, predicate : T -> Bool) : ?Nat {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return null;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (predicate(x)) return ?indexByBlockElement(i, j);\n case null return null\n };\n j += 1\n };\n i += 1\n };\n null\n };\n\n /// Finds the index of the last element in `list` for which `predicate` is true.\n /// Returns `null` if no such element is found.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.findLastIndex(list, func(i) { i % 2 == 0 }) == ?3;\n /// assert List.findLastIndex(list, func(i) { i > 5 }) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func findLastIndex(self : List, predicate : T -> Bool) : ?Nat {\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) if (predicate(x)) return ?indexByBlockElement(i, j);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n null\n };\n\n /// Performs binary search on a sorted list to find the index of the `element`.\n /// Returns `#found(index)` if the element is found, or `#insertionIndex(index)` with the index\n /// where the element would be inserted according to the ordering if not found.\n ///\n /// If there are multiple equal elements, no guarantee is made about which index is returned.\n /// The list must be sorted in ascending order according to the `compare` function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 3, 5, 7, 9, 11]);\n /// assert List.binarySearch(list, Nat.compare, 5) == #found(2);\n /// assert List.binarySearch(list, Nat.compare, 6) == #insertionIndex(3);\n /// ```\n ///\n /// Runtime: `O(log(size))`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in `O(1)` time and space.\n public func binarySearch(self : List, compare : (implicit : (T, T) -> Types.Order), element : T) : {\n #found : Nat;\n #insertionIndex : Nat\n } {\n // We call all data blocks of the same capacity an \"epoch\". We number the epochs 0,1,2,...\n // A data block is in epoch e iff the data block has capacity 2 ** e.\n // Each epoch starting with epoch 1 spans exactly two super blocks.\n // Super block s falls in epoch ceil(s/2).\n // Each epoch except e=0 contains 3 * 2 ** (e - 1) data blocks\n\n let blocks = self.blocks;\n let b = self.blockIndex - (if (self.elementIndex == 0) 1 else 0) : Nat;\n\n // block index x such that blocks[x][0] <= element\n let lessOrEqual = do {\n // epoch of the last data block\n let epoch = 32 - Nat32.bitcountLeadingZero(Nat32.fromNat(b) / 3);\n // initially block index is the first in the epoch\n var lessOrEqual = Nat32.toNat((1 << epoch) / 2);\n\n // lessOrEqual * 3 is always the first data block in an epoch\n // while the first element of the first data block in an epoch is actually grater then element go to the previous epoch\n // as the last epoch is half of the array we each iteration of the search divides the interval in four\n while (lessOrEqual != 0 and compare(Option.unwrap(blocks[lessOrEqual * 3][0]), element) == #greater) {\n lessOrEqual /= 2\n };\n\n lessOrEqual * 3\n };\n\n // Linear search in e=0, there are just two elements\n if (lessOrEqual == 0) {\n let to = Nat.min(size(self), 2);\n for (i in Nat.range(0, to)) {\n let x = at(self, i);\n switch (compare(x, element)) {\n case (#less) {};\n case (#equal) return #found(i);\n case (#greater) return #insertionIndex(i)\n }\n };\n return #insertionIndex(to)\n };\n\n // binary search the blockIndex in [left, right)\n let blockIndex = do {\n // guarateed less or equal to element\n var left = lessOrEqual;\n // right is either outside of the array or greater than element\n var right = Nat.min(b + 1, lessOrEqual * 2);\n while (right - left : Nat > 1) {\n let mid = (left + right) / 2;\n switch (compare(Option.unwrap(blocks[mid][0]), element)) {\n case (#less) left := mid;\n case (#greater) right := mid;\n case (#equal) return #found(indexByBlockElement(mid, 0))\n }\n };\n left\n };\n\n // binary search the elementIndex\n let elementIndex = do {\n let block = blocks[blockIndex];\n var left = 0;\n var right = if (blockIndex == self.blockIndex) self.elementIndex else block.size();\n while (left != right) {\n let mid = (left + right) / 2;\n switch (compare(Option.unwrap(block[mid]), element)) {\n case (#less) left := mid + 1;\n case (#greater) right := mid;\n case (#equal) return #found(indexByBlockElement(blockIndex, mid))\n }\n };\n left\n };\n\n #insertionIndex(indexByBlockElement(blockIndex, elementIndex))\n };\n\n /// Returns true iff every element in `list` satisfies `predicate`.\n /// In particular, if `list` is empty the function returns `true`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.all(list, func x { x > 1 });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func all(self : List, predicate : T -> Bool) : Bool {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return true;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (not predicate(x)) return false;\n case null return true\n };\n j += 1\n };\n i += 1\n };\n true\n };\n\n /// Returns true iff some element in `list` satisfies `predicate`.\n /// In particular, if `list` is empty the function returns `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.any(list, func x { x > 3 });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func any(self : List, predicate : T -> Bool) : Bool = findIndex(self, predicate) != null;\n\n /// Returns an Iterator (`Iter`) over the elements of a List.\n /// Iterator provides a single method `next()`, which returns\n /// elements in order, or `null` when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n ///\n /// var sum = 0;\n /// for (element in List.values(list)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n public func values(self : List) : Types.Iter = object {\n let blocks = self.blocks.size();\n var blockIndex = 0;\n var elementIndex = 0;\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n\n public func next() : ?T {\n if (elementIndex == dbSize) {\n blockIndex += 1;\n if (blockIndex >= blocks) return null;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n if (dbSize == 0) return null;\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n elementIndex += 1;\n return ?x\n };\n case (_) return null\n }\n }\n };\n\n /// Returns an Iterator (`Iter`) over the items (index-value pairs) in the list.\n /// Each item is a tuple of `(index, value)`. The iterator provides a single method\n /// `next()` which returns elements in order, or `null` when out of elements.\n ///\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n /// assert Iter.toArray(List.enumerate(list)) == [(0, 10), (1, 11), (2, 12)];\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n ///\n /// Warning: Allocates memory on the heap to store ?(Nat, T).\n public func enumerate(self : List) : Types.Iter<(Nat, T)> = object {\n let blocks = self.blocks.size();\n var blockIndex = 0;\n var elementIndex = 0;\n var size = 0;\n var db : [var ?T] = [var];\n var i = 0;\n\n public func next() : ?(Nat, T) {\n if (elementIndex == size) {\n blockIndex += 1;\n if (blockIndex >= blocks) return null;\n db := self.blocks[blockIndex];\n size := db.size();\n if (size == 0) return null;\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n let ret = ?(i, x);\n elementIndex += 1;\n i += 1;\n return ret\n };\n case (_) return null\n }\n }\n };\n\n /// Returns an Iterator (`Iter`) over the elements of the list in reverse order.\n /// The iterator provides a single method `next()` which returns elements from\n /// last to first, or `null` when out of elements.\n ///\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n ///\n /// var sum = 0;\n /// for (element in List.reverseValues(list)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n public func reverseValues(self : List) : Types.Iter = object {\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex;\n var db : [var ?T] = if (blockIndex < self.blocks.size()) {\n self.blocks[blockIndex]\n } else { [var] };\n\n public func next() : ?T {\n if (elementIndex != 0) {\n elementIndex -= 1\n } else {\n blockIndex -= 1;\n if (blockIndex == 0) return null;\n db := self.blocks[blockIndex];\n elementIndex := db.size() - 1\n };\n\n db[elementIndex]\n }\n };\n\n /// Returns an Iterator (`Iter`) over the items in reverse order, i.e. pairs of index and value.\n /// Iterator provides a single method `next()`, which returns\n /// elements in reverse order, or `null` when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n /// assert Iter.toArray(List.reverseEnumerate(list)) == [(2, 12), (1, 11), (0, 10)];\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n ///\n /// Warning: Allocates memory on the heap to store ?(T, Nat).\n public func reverseEnumerate(self : List) : Types.Iter<(Nat, T)> = object {\n var i = size(self);\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex;\n var db : [var ?T] = if (blockIndex < self.blocks.size()) {\n self.blocks[blockIndex]\n } else { [var] };\n\n public func next() : ?(Nat, T) {\n if (elementIndex != 0) {\n elementIndex -= 1\n } else {\n blockIndex -= 1;\n if (blockIndex == 0) return null;\n db := self.blocks[blockIndex];\n elementIndex := db.size() - 1\n };\n switch (db[elementIndex]) {\n case (?x) {\n i -= 1;\n return ?(i, x)\n };\n case (_) Prim.trap INTERNAL_ERROR\n }\n }\n };\n\n /// Returns an Iterator (`Iter`) over the indices (keys) of the list.\n /// The iterator provides a single method `next()` which returns indices\n /// from 0 to size-1, or `null` when out of elements.\n ///\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.empty();\n /// List.add(list, \"A\");\n /// List.add(list, \"B\");\n /// List.add(list, \"C\");\n /// Iter.toArray(List.keys(list)) // [0, 1, 2]\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n public func keys(self : List) : Types.Iter = Nat.range(0, size(self));\n\n /// Creates a new List containing all elements from the provided iterator.\n /// Elements are added in the order they are returned by the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [1, 1, 1];\n /// let iter = array.vals();\n ///\n /// let list = List.fromIter(iter);\n /// assert Iter.toArray(List.values(list)) == [1, 1, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func fromIter(iter : Types.Iter) : List {\n let list = empty();\n for (element in iter) add(list, element);\n list\n };\n\n /// Convert an iterator to a new mutable List.\n /// Elements are added in the order they are returned by the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [1, 1, 1];\n /// let iter = array.vals();\n ///\n /// let list = iter.toList();\n /// assert Iter.toArray(List.values(list)) == [1, 1, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func toList(self : Types.Iter) : List {\n fromIter(self)\n };\n\n /// Appends all elements from `added` to the end of `list`.\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2]);\n /// let added = List.fromArray([3, 4]);\n /// List.append(list, added);\n /// assert List.toArray(list) == [1, 2, 3, 4];\n /// ```\n ///\n /// Runtime: `O(size(added))`\n ///\n /// Space: `O(size(added))`\n public func append(self : List, added : List) {\n reserve(self, size(added));\n\n let blocks = added.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) addUnsafe(self, x);\n case null return\n };\n j += 1\n };\n i += 1\n }\n };\n\n /// Adds all elements from the provided iterator to the end of the list.\n /// Elements are added in the order they are returned by the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [1, 1, 1];\n /// let iter = array.vals();\n /// let list = List.repeat(2, 1);\n ///\n /// List.addAll(list, iter);\n /// assert Iter.toArray(List.values(list)) == [2, 1, 1, 1];\n /// ```\n ///\n /// The maximum number of elements in a `List` is 2^32.\n ///\n /// Runtime: `O(size)`, where n is the size of iter.\n public func addAll(self : List, iter : Types.Iter) {\n for (element in iter) add(self, element)\n };\n\n /// Creates a new immutable array containing all elements from the list.\n /// Elements appear in the same order as in the list.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// assert List.toArray(list) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func toArray(self : List) : [T] {\n var blockIndex = 0;\n var elementIndex = 0;\n var sz = 0;\n var db : [var ?T] = [var];\n\n func generator(_ : Nat) : T {\n if (elementIndex == sz) {\n blockIndex += 1;\n db := self.blocks[blockIndex];\n sz := db.size();\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n elementIndex += 1;\n return x\n };\n case (_) Prim.trap INTERNAL_ERROR\n }\n };\n\n Array.tabulate(size(self), generator)\n };\n\n /// Creates a List containing elements from an Array.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [2, 3];\n /// let list = List.fromArray(array);\n /// assert Iter.toArray(List.values(list)) == [2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func fromArray(array : [T]) : List {\n let (blockIndex, elementIndex) = locate(array.size());\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n\n var i = 1;\n var pos = 0;\n\n while (i < blockIndex) {\n let len = dataBlockSize(i);\n dataBlocks[i] := VarArray.tabulate(len, func i = ?array[pos + i]);\n pos += len;\n i += 1\n };\n if (elementIndex != 0 and blockIndex < blocks) {\n dataBlocks[i] := VarArray.tabulate(\n dataBlockSize(i),\n func i = if (i < elementIndex) ?array[pos + i] else null\n )\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Creates a new mutable array containing all elements from the list.\n /// Elements appear in the same order as in the list.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// let varArray = List.toVarArray(list);\n /// assert Array.fromVarArray(varArray) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func toVarArray(self : List) : [var T] {\n let ?fs = first(self) else return [var];\n\n let array = VarArray.repeat(fs, size(self));\n\n var index = 0;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return array;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) array[index] := x;\n case null return array\n };\n j += 1;\n index += 1\n };\n i += 1\n };\n array\n };\n\n /// Creates a new List containing all elements from the mutable array.\n /// Elements appear in the same order as in the array.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [var 2, 3];\n /// let list = List.fromVarArray(array);\n /// assert Iter.toArray(List.values(list)) == [2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func fromVarArray(array : [var T]) : List {\n let (blockIndex, elementIndex) = locate(array.size());\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n\n func makeBlock(array : [var T], p : Nat, len : Nat, fill : Nat) : [var ?T] {\n let block = VarArray.repeat(null, len);\n var j = 0;\n var pos = p;\n while (j < fill) {\n block[j] := ?array[pos];\n j += 1;\n pos += 1\n };\n block\n };\n\n var i = 1;\n var pos = 0;\n\n while (i < blockIndex) {\n let len = dataBlockSize(i);\n dataBlocks[i] := makeBlock(array, pos, len, len);\n pos += len;\n i += 1\n };\n if (elementIndex != 0) {\n dataBlocks[i] := makeBlock(array, pos, dataBlockSize(i), elementIndex)\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Returns the first element of `list`, or `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert List.first(List.fromArray([1, 2, 3])) == ?1;\n /// assert List.first(List.empty()) == null;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func first(self : List) : ?T {\n if (self.blockIndex == 1) null else self.blocks[1][0]\n };\n\n /// Returns the last element of `list`, or `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert List.last(List.fromArray([1, 2, 3])) == ?3;\n /// assert List.last(List.empty()) == null;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func last(self : List) : ?T {\n let e = self.elementIndex;\n if (e > 0) return self.blocks[self.blockIndex][e - 1];\n\n let b = self.blockIndex - 1 : Nat;\n if (b == 0) null else {\n let block = self.blocks[b];\n block[block.size() - 1]\n }\n };\n\n /// Applies `f` to each element in `list`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.forEach(list, func(x) {\n /// Debug.print(Nat.toText(x)); // prints each element in list\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : List, f : T -> ()) {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) f(x);\n case null return\n };\n j += 1\n };\n i += 1\n }\n };\n\n /// Applies `f` to each item `(i, x)` in `list` where `i` is the key\n /// and `x` is the value.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.forEachEntry(list, func (i,x) {\n /// // prints each item (i,x) in list\n /// Debug.print(Nat.toText(i) # Nat.toText(x));\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEachEntry(self : List, f : (Nat, T) -> ()) {\n var index = 0;\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) f(index, x);\n case null return\n };\n j += 1;\n index += 1\n };\n i += 1\n }\n };\n\n func actualInterval(fromInclusive : Int, toExclusive : Int, size : Nat) : (Nat, Nat) {\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n (Prim.abs(startInt), Prim.abs(endInt))\n };\n\n /// Returns an iterator over a slice of `list` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// Negative indices are relative to the end of the list. For example, `-1` corresponds to the last element in the list.\n ///\n /// If the indices are out of bounds, they are clamped to the list bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// let iter1 = List.range(list, 3, List.size(list));\n /// assert iter1.next() == ?4;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// let iter2 = List.range(list, 3, -1);\n /// assert iter2.next() == ?4;\n /// assert iter2.next() == null;\n ///\n /// let iter3 = List.range(list, 0, 0);\n /// assert iter3.next() == null;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func range(self : List, fromInclusive : Int, toExclusive : Int) : Types.Iter = object {\n let (start, end) = actualInterval(fromInclusive, toExclusive, size(self));\n let blocks = self.blocks.size();\n var blockIndex = 0;\n var elementIndex = 0;\n if (start != 0) {\n let (block, element) = locate(start - 1);\n blockIndex := block;\n elementIndex := element + 1\n };\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n var index = fromInclusive;\n\n public func next() : ?T {\n if (index >= end) return null;\n index += 1;\n\n if (elementIndex == dbSize) {\n blockIndex += 1;\n if (blockIndex >= blocks) return null;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n if (dbSize == 0) return null;\n elementIndex := 0\n };\n let ret = db[elementIndex];\n elementIndex += 1;\n ret\n }\n };\n\n func sliceToArrayBase(self : List, start : Nat) : {\n next(i : Nat) : T\n } = object {\n var blockIndex = 0;\n var elementIndex = 0;\n if (start != 0) {\n let (block, element) = locate(start - 1);\n blockIndex := block;\n elementIndex := element + 1\n };\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n\n public func next(i : Nat) : T {\n if (elementIndex == dbSize) {\n blockIndex += 1;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n elementIndex += 1;\n return x\n };\n case null Prim.trap INTERNAL_ERROR\n }\n }\n };\n\n /// Returns a new array containing elements from `list` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// let array = List.fromArray([1, 2, 3, 4, 5]);\n ///\n /// let slice1 = List.sliceToArray(array, 1, 4);\n /// assert slice1 == [2, 3, 4];\n ///\n /// let slice2 = List.sliceToArray(array, 1, -1);\n /// assert slice2 == [2, 3, 4];\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToArray(self : List, fromInclusive : Int, toExclusive : Int) : [T] {\n let (start, end) = actualInterval(fromInclusive, toExclusive, size(self));\n Array.tabulate(end - start, sliceToArrayBase(self, start).next)\n };\n\n /// Returns a new var array containing elements from `list` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = List.fromArray([1, 2, 3, 4, 5]);\n ///\n /// let slice1 = List.sliceToVarArray(array, 1, 4);\n /// assert VarArray.equal(slice1, [var 2, 3, 4], Nat.equal);\n ///\n /// let slice2 = List.sliceToVarArray(array, 1, -1);\n /// assert VarArray.equal(slice2, [var 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToVarArray(self : List, fromInclusive : Int, toExclusive : Int) : [var T] {\n let (start, end) = actualInterval(fromInclusive, toExclusive, size(self));\n VarArray.tabulate(end - start, sliceToArrayBase(self, start).next)\n };\n\n /// Like `forEachEntryRev` but iterates through the list in reverse order,\n /// from end to beginning.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.reverseForEachEntry(list, func (i,x) {\n /// // prints each item (i,x) in list\n /// Debug.print(Nat.toText(i) # Nat.toText(x));\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func reverseForEachEntry(self : List, f : (Nat, T) -> ()) {\n var index = 0;\n\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) f(index, x);\n case null Prim.trap INTERNAL_ERROR\n };\n index += 1\n };\n i -= 1\n }\n };\n\n /// Applies `f` to each element in `list` in reverse order.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.reverseForEach(list, func (x) {\n /// Debug.print(Nat.toText(x)); // prints each element in list in reverse order\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func reverseForEach(self : List, f : T -> ()) {\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) f(x);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n }\n };\n\n /// Executes the closure over a slice of `list` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// ```motoko include=import\n /// import Debug \"mo:core/Debug\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// List.forEachInRange(list, func x = Debug.print(Nat.toText(x)), 1, 2); // prints 2 and 3\n /// ```\n ///\n /// Runtime: `O(toExclusive - fromExclusive)`\n ///\n /// Space: `O(1)`\n public func forEachInRange(self : List, f : T -> (), fromInclusive : Nat, toExclusive : Nat) {\n if (not (fromInclusive <= toExclusive and toExclusive <= size(self))) Prim.trap(\"Invalid range\");\n\n func traverseBlock(block : [var ?T], f : T -> (), from : Nat, to : Nat) {\n var i = from;\n while (i < to) {\n switch (block[i]) {\n case (?value) f(value);\n case null Prim.trap(INTERNAL_ERROR)\n };\n i += 1\n }\n };\n\n let (fromBlock, fromElement) = locate(fromInclusive);\n let (toBlock, toElement) = locate(toExclusive);\n\n let blocks = self.blocks;\n let sz = blocks.size();\n\n if (fromBlock == toBlock) {\n if (fromBlock < sz) traverseBlock(blocks[fromBlock], f, fromElement, toElement);\n return\n };\n\n traverseBlock(blocks[fromBlock], f, fromElement, blocks[fromBlock].size());\n\n var i = fromBlock + 1;\n let to = Nat.min(toBlock, sz);\n while (i < to) {\n traverseBlock(blocks[i], f, 0, blocks[i].size());\n i += 1\n };\n\n if (toBlock < sz) traverseBlock(blocks[toBlock], f, 0, toElement)\n };\n\n /// Returns true if the list contains the specified element according to the provided\n /// equality function. Uses the provided `equal` function to compare elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 2);\n /// List.add(list, 0);\n /// List.add(list, 3);\n ///\n /// assert List.contains(list, Nat.equal, 2);\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func contains(self : List, equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n Option.isSome(indexOf(self, equal, element))\n };\n\n /// Returns the greatest element in the list according to the ordering defined by `compare`.\n /// Returns `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n ///\n /// assert List.max(list, Nat.compare) == ?2;\n /// assert List.max(List.empty(), Nat.compare) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func max(self : List, compare : (implicit : (T, T) -> Types.Order)) : ?T {\n var maxSoFar : T = switch (first(self)) {\n case (?x) x;\n case null return null\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return ?maxSoFar;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (compare(x, maxSoFar)) {\n case (#greater) maxSoFar := x;\n case _ {}\n };\n case null return ?maxSoFar\n };\n j += 1\n };\n i += 1\n };\n\n ?maxSoFar\n };\n\n /// Returns the least element in the list according to the ordering defined by `compare`.\n /// Returns `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n ///\n /// assert List.min(list, Nat.compare) == ?1;\n /// assert List.min(List.empty(), Nat.compare) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func min(self : List, compare : (implicit : (T, T) -> Types.Order)) : ?T {\n var minSoFar : T = switch (first(self)) {\n case (?x) x;\n case null return null\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return ?minSoFar;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (compare(x, minSoFar)) {\n case (#less) minSoFar := x;\n case _ {}\n };\n case null return ?minSoFar\n };\n j += 1\n };\n i += 1\n };\n\n ?minSoFar\n };\n\n /// Tests if two lists are equal by comparing their elements using the provided `equal` function.\n /// Returns true if and only if both lists have the same size and all corresponding elements\n /// are equal according to the provided function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list1 = List.fromArray([1,2]);\n /// let list2 = List.empty();\n /// List.add(list2, 1);\n /// List.add(list2, 2);\n ///\n /// assert List.equal(list1, list2, Nat.equal);\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func equal(self : List, other : List, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) return false;\n\n let blocks1 = self.blocks;\n let blocks2 = other.blocks;\n let blockCount = Nat.min(blocks1.size(), blocks2.size());\n\n var i = 1;\n while (i < blockCount) {\n let db1 = blocks1[i];\n let db2 = blocks2[i];\n let sz = Nat.min(db1.size(), db2.size());\n if (sz == 0) return true;\n\n var j = 0;\n while (j < sz) {\n switch (db1[j], db2[j]) {\n case (?x, ?y) if (not equal(x, y)) return false;\n case (_, _) return true\n };\n j += 1\n };\n i += 1\n };\n return true\n };\n\n /// Compares two lists lexicographically using the provided `compare` function.\n /// Elements are compared pairwise until a difference is found or one list ends.\n /// If all elements compare equal, the shorter list is considered less than the longer list.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list1 = List.fromArray([0, 1]);\n /// let list2 = List.fromArray([2]);\n /// let list3 = List.fromArray([0, 1, 2]);\n ///\n /// assert List.compare(list1, list2, Nat.compare) == #less;\n /// assert List.compare(list1, list3, Nat.compare) == #less;\n /// assert List.compare(list2, list3, Nat.compare) == #greater;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func compare(self : List, other : List, compare : (implicit : (T, T) -> Types.Order)) : Types.Order {\n let blocks1 = self.blocks;\n let blocks2 = other.blocks;\n let blockCount = Nat.min(blocks1.size(), blocks2.size());\n\n var i = 1;\n label l while (i < blockCount) {\n let db1 = blocks1[i];\n let db2 = blocks2[i];\n let sz = Nat.min(db1.size(), db2.size());\n if (sz == 0) break l;\n\n var j = 0;\n while (j < sz) {\n switch (db1[j], db2[j]) {\n case (?x, ?y) switch (compare(x, y)) {\n case (#less) return #less;\n case (#greater) return #greater;\n case _ {}\n };\n case (_, _) break l\n };\n j += 1\n };\n i += 1\n };\n return Nat.compare(size(self), size(other))\n };\n\n /// Creates a textual representation of `list`, using `toText` to recursively\n /// convert the elements into Text.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1,2,3,4]);\n ///\n /// assert List.toText(list, Nat.toText) == \"List[1, 2, 3, 4]\";\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `toText` runs in O(1) time and space.\n public func toText(self : List, toText : (implicit : T -> Text)) : Text {\n var text = switch (first(self)) {\n case (?x) toText(x);\n case null \"\"\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n label l while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) break l;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) text #= \", \" # toText(x);\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n \"List[\" # text # \"]\"\n };\n\n /// Collapses the elements in `list` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// assert List.foldLeft(list, \"\", func (acc, x) { acc # Nat.toText(x)}) == \"123\";\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `combine` runs in O(1)` time and space.\n public func foldLeft(self : List, base : A, combine : (A, T) -> A) : A {\n var accumulation = base;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return accumulation;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) accumulation := combine(accumulation, x);\n case null return accumulation\n };\n j += 1\n };\n i += 1\n };\n accumulation\n };\n\n /// Collapses the elements in `list` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// assert List.foldRight(list, \"\", func (x, acc) { Nat.toText(x) # acc }) == \"123\";\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `combine` runs in O(1)` time and space.\n public func foldRight(self : List, base : A, combine : (T, A) -> A) : A {\n var accumulation = base;\n\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) accumulation := combine(x, accumulation);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n accumulation\n };\n\n /// Reverses the order of elements in `list` by overwriting in place.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// List.reverseInPlace(list);\n /// assert Iter.toArray(List.values(list)) == [3, 2, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func reverseInPlace(self : List) {\n let vsize = size(self);\n if (vsize <= 1) return;\n\n let (finalBlock, finalElement) = locate(vsize / 2);\n\n let blocks = self.blocks;\n\n var blockIndexBack = self.blockIndex;\n var elementIndexBack = self.elementIndex;\n var dbBack : [var ?T] = if (blockIndexBack < self.blocks.size()) {\n self.blocks[blockIndexBack]\n } else { [var] };\n\n var i = 1;\n var index = 0;\n while (i <= finalBlock) {\n let db = blocks[i];\n let sz = if (i == finalBlock) finalElement else db.size();\n\n var j = 0;\n while (j < sz) {\n if (elementIndexBack == 0) {\n blockIndexBack -= 1;\n dbBack := self.blocks[blockIndexBack];\n elementIndexBack := dbBack.size() - 1\n } else {\n elementIndexBack -= 1\n };\n\n let temp = db[j];\n db[j] := dbBack[elementIndexBack];\n dbBack[elementIndexBack] := temp;\n\n j += 1;\n index += 1\n };\n i += 1\n }\n };\n\n /// Returns a new List with the elements from `list` in reverse order.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// let rlist = List.reverse(list);\n /// assert Iter.toArray(List.values(rlist)) == [3, 2, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func reverse(self : List) : List {\n let rlist = repeatInternal(null, size(self));\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var blockIndexBack = rlist.blockIndex;\n var elementIndexBack = rlist.elementIndex;\n var dbBack : [var ?T] = if (blockIndexBack < rlist.blocks.size()) {\n rlist.blocks[blockIndexBack]\n } else { [var] };\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return rlist;\n\n var j = 0;\n while (j < sz) {\n if (elementIndexBack == 0) {\n blockIndexBack -= 1;\n if (blockIndexBack == 0) return rlist;\n dbBack := rlist.blocks[blockIndexBack];\n elementIndexBack := dbBack.size() - 1\n } else {\n elementIndexBack -= 1\n };\n\n dbBack[elementIndexBack] := db[j];\n j += 1\n };\n i += 1\n };\n rlist\n };\n\n /// Returns true if and only if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([2,0,3]);\n /// assert not List.isEmpty(list);\n /// assert List.isEmpty(List.empty());\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func isEmpty(self : List) : Bool {\n self.blockIndex == 1\n };\n\n /// Unsafe iterator starting from `start`.\n ///\n /// Example:\n /// ```\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// let reader = List.reader(list, 2);\n /// assert reader() == 3;\n /// assert reader() == 4;\n /// assert reader() == 5;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func reader(self : List, start : Nat) : () -> T {\n var blockIndex = 0;\n var elementIndex = 0;\n if (start != 0) {\n let (block, element) = locate(start - 1);\n blockIndex := block;\n elementIndex := element + 1\n };\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n func next() : T {\n // Note: next() traps when reading beyond end of list\n if (elementIndex == dbSize) {\n blockIndex += 1;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?ret) {\n elementIndex += 1;\n return ret\n };\n case (_) Prim.trap(\"List.reader(): out of bounds\")\n }\n };\n next\n };\n\n}\n"},"Map.mo":{"content":"/// An imperative key-value map based on order/comparison of the keys.\n/// The map data structure type is stable and can be used for orthogonal persistence.\n///\n/// Example:\n/// ```motoko\n/// import Map \"mo:core/Map\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// // creation\n/// let map = Map.empty();\n/// // insertion\n/// Map.add(map, Nat.compare, 0, \"Zero\");\n/// // retrieval\n/// assert Map.get(map, Nat.compare, 0) == ?\"Zero\";\n/// assert Map.get(map, Nat.compare, 1) == null;\n/// // removal\n/// Map.remove(map, Nat.compare, 0);\n/// assert Map.isEmpty(map);\n/// }\n/// ```\n///\n/// The internal implementation is a B-tree with order 32.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire map.\n/// `n` denotes the number of key-value entries stored in the map.\n\n// Data structure implementation is courtesy of Byron Becker.\n// Source: https://github.com/canscale/StableHeapBTreeMap\n// Copyright (c) 2022 Byron Becker.\n// Distributed under Apache 2.0 license.\n// With adjustments by the Motoko team.\n\nimport PureMap \"pure/Map\";\nimport Types \"Types\";\nimport Iter \"Iter\";\nimport Order \"Order\";\nimport VarArray \"VarArray\";\nimport Runtime \"Runtime\";\nimport Stack \"Stack\";\nimport Option \"Option\";\nimport BTreeHelper \"internal/BTreeHelper\";\n\nmodule {\n let btreeOrder = 32; // Should be >= 4 and <= 512.\n\n public type Map = Types.Map;\n\n type Node = Types.Map.Node;\n type Data = Types.Map.Data;\n type Internal = Types.Map.Internal;\n type Leaf = Types.Map.Leaf;\n\n /// Convert the mutable key-value map to an immutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import PureMap \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(), Nat.compare);\n /// let pureMap = Map.toPure(map, Nat.compare);\n /// assert Iter.toArray(PureMap.entries(pureMap)) == Iter.toArray(Map.entries(map))\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n /// @deprecated M0235\n public func toPure(self : Map, compare : (implicit : (K, K) -> Order.Order)) : PureMap.Map {\n PureMap.fromIter(entries(self), compare)\n };\n\n /// Convert an immutable key-value map to a mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import PureMap \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let pureMap = PureMap.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(), Nat.compare);\n /// let map = Map.fromPure(pureMap, Nat.compare);\n /// assert Iter.toArray(Map.entries(map)) == Iter.toArray(PureMap.entries(pureMap))\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func fromPure(map : PureMap.Map, compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(PureMap.entries(map), compare)\n };\n\n /// Create a copy of the mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let originalMap = Map.fromIter(\n /// [(1, \"One\"), (2, \"Two\"), (3, \"Three\")].values(), Nat.compare);\n /// let clonedMap = Map.clone(originalMap);\n /// Map.add(originalMap, Nat.compare, 4, \"Four\");\n /// assert Map.size(clonedMap) == 3;\n /// assert Map.size(originalMap) == 4;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func clone(self : Map) : Map {\n {\n var root = cloneNode(self.root);\n var size = self.size\n }\n };\n\n /// Create a new empty mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Map {\n {\n var root = #leaf({\n data = {\n kvs = VarArray.repeat(null, btreeOrder - 1);\n var count = 0\n }\n });\n var size = 0\n }\n };\n\n /// Create a new mutable key-value map with a single entry.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(0, \"Zero\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(key : K, value : V) : Map {\n let kvs = VarArray.repeat(null, btreeOrder - 1);\n kvs[0] := ?(key, value);\n {\n var root = #leaf { data = { kvs; var count = 1 } };\n var size = 1\n }\n };\n\n /// Delete all the entries in the key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.size(map) == 3;\n ///\n /// Map.clear(map);\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func clear(self : Map) {\n let emptyMap = empty();\n self.root := emptyMap.root;\n self.size := 0\n };\n\n /// Determines whether a key-value map is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert not Map.isEmpty(map);\n /// Map.clear(map);\n /// assert Map.isEmpty(map);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Map) : Bool {\n self.size == 0\n };\n\n /// Return the number of entries in a key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.size(map) == 3;\n /// Map.clear(map);\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func size(self : Map) : Nat {\n self.size\n };\n\n /// Test whether two imperative maps have equal entries.\n /// Both maps have to be constructed by the same comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n /// let map2 = Map.clone(map1);\n ///\n /// assert Map.equal(map1, map2, Nat.compare, Text.equal);\n /// Map.clear(map2);\n /// assert not Map.equal(map1, map2, Nat.compare, Text.equal);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func equal(self : Map, other : Map, compare : (implicit : (K, K) -> Types.Order), equal : (implicit : (V, V) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n let next1 = iterator1.next();\n let next2 = iterator2.next();\n switch (next1, next2) {\n case (null, null) {\n return true\n };\n case (?(key1, value1), ?(key2, value2)) {\n if (\n not (compare(key1, key2) == #equal) or\n not equal(value1, value2)\n ) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Tests whether the map contains the provided key.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.containsKey(map, Nat.compare, 1);\n /// assert not Map.containsKey(map, Nat.compare, 3);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func containsKey(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Bool {\n Option.isSome(get(self, compare, key))\n };\n\n /// Get the value associated with key in the given map if present and `null` otherwise.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.get(map, Nat.compare, 1) == ?\"One\";\n /// assert Map.get(map, Nat.compare, 3) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func get(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : ?V {\n switch (self.root) {\n case (#internal(internalNode)) {\n getFromInternal(internalNode, compare, key)\n };\n case (#leaf(leafNode)) { getFromLeaf(leafNode, compare, key) }\n }\n };\n\n /// Given `map` ordered by `compare`, insert a new mapping from `key` to `value`.\n /// Replaces any existing entry under `key`.\n /// Returns true if the key is new to the map, otherwise false.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n /// assert Map.insert(map, Nat.compare, 0, \"Zero\");\n /// assert Map.insert(map, Nat.compare, 1, \"One\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\")];\n /// assert not Map.insert(map, Nat.compare, 0, \"Nil\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")]\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func insert(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : Bool {\n switch (swap(self, compare, key, value)) {\n case null true;\n case _ false\n }\n };\n\n /// Given `map` ordered by `compare`, add a mapping from `key` to `value` to `map`.\n /// Replaces any existing entry for `key`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n ///\n /// Map.add(map, Nat.compare, 0, \"Zero\");\n /// Map.add(map, Nat.compare, 1, \"One\");\n /// Map.add(map, Nat.compare, 0, \"Nil\");\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")]\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func add(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) {\n ignore swap(self, compare, key, value)\n };\n\n /// Associates the value with the key in the map.\n /// If the key is not yet present in the map, a new key-value pair is added and `null` is returned.\n /// Otherwise, if the key is already present, the value is overwritten and the previous value is returned.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(1, \"One\");\n ///\n /// assert Map.swap(map, Nat.compare, 0, \"Zero\") == null;\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\")];\n ///\n /// assert Map.swap(map, Nat.compare, 0, \"Nil\") == ?\"Zero\";\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func swap(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : ?V {\n let insertResult = switch (self.root) {\n case (#leaf(leafNode)) {\n leafInsertHelper(leafNode, btreeOrder, compare, key, value)\n };\n case (#internal(internalNode)) {\n internalInsertHelper(internalNode, btreeOrder, compare, key, value)\n }\n };\n\n switch (insertResult) {\n case (#insert(ov)) {\n switch (ov) {\n // if inserted a value that was not previously there, increment the tree size counter\n case null { self.size += 1 };\n case _ {}\n };\n ov\n };\n case (#promote({ kv; leftChild; rightChild })) {\n let kvs = VarArray.repeat(null, btreeOrder - 1);\n kvs[0] := ?kv;\n let children = VarArray.repeat>(null, btreeOrder);\n children[0] := ?leftChild;\n children[1] := ?rightChild;\n self.root := #internal({\n data = {\n kvs;\n var count = 1\n };\n children\n });\n // promotion always comes from inserting a new element, so increment the tree size counter\n self.size += 1;\n\n null\n }\n }\n };\n\n /// Overwrites the value of an existing key and returns the previous value.\n /// If the key does not exist, it has no effect and returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(0, \"Zero\");\n ///\n /// let prev1 = Map.replace(map, Nat.compare, 0, \"Nil\"); // overwrites the value for existing key.\n /// assert prev1 == ?\"Zero\";\n /// assert Map.get(map, Nat.compare, 0) == ?\"Nil\";\n ///\n /// let prev2 = Map.replace(map, Nat.compare, 1, \"One\"); // no effect, key is absent\n /// assert prev2 == null;\n /// assert Map.get(map, Nat.compare, 1) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func replace(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : ?V {\n // TODO: Could be optimized in future\n if (containsKey(self, compare, key)) {\n swap(self, compare, key, value)\n } else {\n null\n }\n };\n\n /// Delete an entry by its key in the map.\n /// No effect if the key is not present.\n ///\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(),\n /// Nat.compare);\n ///\n /// Map.remove(map, Nat.compare, 1);\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n /// Map.remove(map, Nat.compare, 42);\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n public func remove(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) {\n ignore delete(self, compare, key)\n };\n\n /// Delete an existing entry by its key in the map.\n /// Returns `true` if the key was present in the map, otherwise `false`.\n ///\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.delete(map, Nat.compare, 1); // present, returns true\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n ///\n /// assert not Map.delete(map, Nat.compare, 42); // absent, returns false\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// @deprecated M0235\n public func delete(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Bool {\n switch (take(self, compare, key)) {\n case null false;\n case _ true\n }\n };\n\n /// Removes any existing entry by its key in the map.\n /// Returns the previous value of the key or `null` if the key was absent.\n ///\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.take(map, Nat.compare, 0) == ?\"Zero\";\n /// assert Iter.toArray(Map.entries(map)) == [(1, \"One\"), (2, \"Two\")];\n ///\n /// assert Map.take(map, Nat.compare, 3) == null;\n /// assert Iter.toArray(Map.entries(map)) == [(1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// @deprecated M0235\n public func take(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : ?V {\n let deletedValue = switch (self.root) {\n case (#leaf(leafNode)) {\n // TODO: think about how this can be optimized so don't have to do two steps (search and then insert)?\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, key)) {\n case (#keyFound(deleteIndex)) {\n leafNode.data.count -= 1;\n let (_, deletedValue) = BTreeHelper.deleteAndShift<(K, V)>(leafNode.data.kvs, deleteIndex);\n self.size -= 1;\n ?deletedValue\n };\n case _ { null }\n }\n };\n case (#internal(internalNode)) {\n let deletedValueResult = switch (internalDeleteHelper(internalNode, btreeOrder, compare, key, false)) {\n case (#delete(value)) { value };\n case (#mergeChild({ internalChild; deletedValue })) {\n if (internalChild.data.count > 0) {\n self.root := #internal(internalChild)\n }\n // This case will be hit if the BTree has order == 4\n // In this case, the internalChild has no keys (last key was merged with new child), so need to promote that merged child (its only child)\n else {\n self.root := switch (internalChild.children[0]) {\n case (?node) { node };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.delete(), element deletion failed, due to a null replacement node error\")\n }\n }\n };\n deletedValue\n }\n };\n switch (deletedValueResult) {\n // if deleted a value from the BTree, decrement the size\n case (?deletedValue) { self.size -= 1 };\n case null {}\n };\n deletedValueResult\n }\n };\n deletedValue\n };\n\n public func toArray(self : Map) : [(K, V)] {\n Iter.toArray(entries(self))\n };\n\n public func toVarArray(self : Map) : [var (K, V)] {\n Iter.toVarArray(entries(self))\n };\n\n /// Retrieves the key-value pair from the map with the maximum key.\n /// If the map is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n ///\n /// assert Map.maxEntry(map) == null;\n ///\n /// Map.add(map, Nat.compare, 0, \"Zero\");\n /// Map.add(map, Nat.compare, 2, \"Two\");\n /// Map.add(map, Nat.compare, 1, \"One\");\n ///\n /// assert Map.maxEntry(map) == ?(2, \"Two\")\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func maxEntry(self : Map) : ?(K, V) {\n reverseEntries(self).next()\n };\n\n /// Retrieves the key-value pair from the map with the minimum key.\n /// If the map is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n ///\n /// assert Map.minEntry(map) == null;\n ///\n /// Map.add(map, Nat.compare, 2, \"Two\");\n /// Map.add(map, Nat.compare, 0, \"Zero\");\n /// Map.add(map, Nat.compare, 1, \"One\");\n ///\n /// assert Map.minEntry(map) == ?(0, \"Zero\")\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func minEntry(self : Map) : ?(K, V) {\n entries(self).next()\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// traversing the entries in the ascending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.entries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func entries(self : Map) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) { return leafEntries(leafNode) };\n case (#internal(internalNode)) { internalEntries(internalNode) }\n }\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// starting from a given key in ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (3, \"Three\"), (1, \"One\")].values(), Nat.compare);\n /// assert Iter.toArray(Map.entriesFrom(map, Nat.compare, 1)) == [(1, \"One\"), (3, \"Three\")];\n /// assert Iter.toArray(Map.entriesFrom(map, Nat.compare, 2)) == [(3, \"Three\")];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func entriesFrom(\n self : Map,\n compare : (implicit : (K, K) -> Order.Order),\n key : K\n ) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) leafEntriesFrom(leafNode, compare, key);\n case (#internal(internalNode)) internalEntriesFrom(internalNode, compare, key)\n }\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// traversing the entries in the descending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.reverseEntries(map)) == [(2, \"Two\"), (1, \"One\"), (0, \"Zero\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.reverseEntries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"TwoOneZero\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseEntries(self : Map) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) reverseLeafEntries(leafNode);\n case (#internal(internalNode)) reverseInternalEntries(internalNode)\n }\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// starting from a given key in descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (1, \"One\"), (3, \"Three\")].values(), Nat.compare);\n /// assert Iter.toArray(Map.reverseEntriesFrom(map, Nat.compare, 0)) == [(0, \"Zero\")];\n /// assert Iter.toArray(Map.reverseEntriesFrom(map, Nat.compare, 2)) == [(1, \"One\"), (0, \"Zero\")];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseEntriesFrom(\n self : Map,\n compare : (implicit : (K, K) -> Order.Order),\n key : K\n ) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) reverseLeafEntriesFrom(leafNode, compare, key);\n case (#internal(internalNode)) reverseInternalEntriesFrom(internalNode, compare, key)\n }\n };\n\n /// Returns an iterator over the keys in the map,\n /// traversing all keys in ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.keys(map)) == [0, 1, 2];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func keys(self : Map) : Types.Iter {\n object {\n let iterator = entries(self);\n\n public func next() : ?K {\n switch (iterator.next()) {\n case null null;\n case (?(key, _)) ?key\n }\n }\n }\n };\n\n /// Returns an iterator over the values in the map,\n /// traversing the values in the ascending order of the keys to which they are associated.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.values(map)) == [\"Zero\", \"One\", \"Two\"];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func values(self : Map) : Types.Iter {\n object {\n let iterator = entries(self);\n\n public func next() : ?V {\n switch (iterator.next()) {\n case null null;\n case (?(_, value)) ?value\n }\n }\n }\n };\n\n /// Create a mutable key-value map with the entries obtained from an iterator.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = Map.fromIter(iter, Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func fromIter(iter : Types.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map {\n let map = empty();\n for ((key, value) in iter) {\n add(map, compare, key, value)\n };\n map\n };\n\n /// Converts an iterator of entries into a Map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = iter.toMap(Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func toMap(self : Types.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(self, compare)\n };\n\n public func fromArray(array : [(K, V)], compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(array.values(), compare)\n };\n\n public func fromVarArray(array : [var (K, V)], compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(array.values(), compare)\n };\n\n /// Apply an operation on each key-value pair contained in the map.\n /// The operation is applied in ascending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// var sum = 0;\n /// var text = \"\";\n /// Map.forEach(map, func (key, value) {\n /// sum += key;\n /// text #= value;\n /// });\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func forEach(self : Map, operation : (K, V) -> ()) {\n for (entry in entries(self)) {\n operation(entry)\n }\n };\n\n /// Filter entries in a new map.\n /// Create a copy of the mutable map that only contains the key-value pairs\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numberNames = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// let evenNames = Map.filter(numberNames, Nat.compare, func (key, value) {\n /// key % 2 == 0\n /// });\n ///\n /// assert Iter.toArray(Map.entries(evenNames)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Map, compare : (implicit : (K, K) -> Order.Order), criterion : (K, V) -> Bool) : Map {\n let result = empty();\n for ((key, value) in entries(self)) {\n if (criterion(key, value)) {\n add(result, compare, key, value)\n }\n };\n result\n };\n\n /// Project all values of the map in a new map.\n /// Apply a mapping function to the values of each entry in the map and\n /// collect the mapped entries in a new mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, _val : Text) : Nat = key * 2;\n ///\n /// let resMap = Map.map(map, f);\n ///\n /// assert Iter.toArray(Map.entries(resMap)) == [(0, 0), (1, 2), (2, 4)];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func map(self : Map, project : (K, V1) -> V2) : Map {\n {\n var root = mapNode(self.root, project);\n var size = self.size\n }\n };\n\n /// Iterate all entries in ascending order of the keys,\n /// and accumulate the entries by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(accum : (Nat, Text), key : Nat, val : Text) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldLeft(map, (0, \"\"), folder) == (3, \"ZeroOneTwo\");\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldLeft(\n self : Map,\n base : A,\n combine : (A, K, V) -> A\n ) : A {\n var accumulator = base;\n for ((key, value) in entries(self)) {\n accumulator := combine(accumulator, key, value)\n };\n accumulator\n };\n\n /// Iterate all entries in descending order of the keys,\n /// and accumulate the entries by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(key : Nat, val : Text, accum : (Nat, Text)) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldRight(map, (0, \"\"), folder) == (3, \"TwoOneZero\");\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldRight(\n self : Map,\n base : A,\n combine : (K, V, A) -> A\n ) : A {\n var accumulator = base;\n for ((key, value) in reverseEntries(self)) {\n accumulator := combine(key, value, accumulator)\n };\n accumulator\n };\n\n /// Check whether all entries in the map fulfil a predicate function, i.e.\n /// the predicate function returns `true` for all entries in the map.\n /// Returns `true` for an empty map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.all(map, func (k, v) = v == Nat.toText(k));\n /// assert not Map.all(map, func (k, v) = k < 2);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func all(self : Map, predicate : (K, V) -> Bool) : Bool {\n //TODO: optimize\n for (entry in entries(self)) {\n if (not predicate(entry)) {\n return false\n }\n };\n true\n };\n\n /// Test if any key-value pair in `map` satisfies the given predicate `pred`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.any(map, func (k, v) = (k >= 0));\n /// assert not Map.any(map, func (k, v) = (k >= 3));\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func any(self : Map, predicate : (K, V) -> Bool) : Bool {\n //TODO: optimize\n for (entry in entries(self)) {\n if (predicate(entry)) {\n return true\n }\n };\n false\n };\n\n /// Filter all entries in the map by also applying a projection to the value.\n /// Apply a mapping function `project` to all entries in the map and collect all\n /// entries, for which the function returns a non-null new value. Collect all\n /// non-discarded entries with the key and new value in a new mutable map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, val : Text) : ?Text {\n /// if(key == 0) {null}\n /// else { ?(\"Twenty \" # val)}\n /// };\n ///\n /// let newMap = Map.filterMap(map, Nat.compare, f);\n ///\n /// assert Iter.toArray(Map.entries(newMap)) == [(1, \"Twenty One\"), (2, \"Twenty Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Map, compare : (implicit : (K, K) -> Order.Order), project : (K, V1) -> ?V2) : Map {\n let result = empty();\n for ((key, value1) in entries(self)) {\n switch (project(key, value1)) {\n case null {};\n case (?value2) add(result, compare, key, value2)\n }\n };\n result\n };\n\n /// Internal sanity check function.\n /// Can be used to check that key/value pairs have been inserted with a consistent key comparison function.\n /// Traps if the internal map structure is invalid.\n /// @deprecated M0235\n public func assertValid(self : Map, compare : (implicit : (K, K) -> Order.Order)) {\n func checkIteration(iterator : Types.Iter<(K, V)>, order : Order.Order) {\n switch (iterator.next()) {\n case null {};\n case (?first) {\n var previous = first;\n loop {\n switch (iterator.next()) {\n case null return;\n case (?next) {\n if (compare(previous.0, next.0) != order) {\n Runtime.trap(\"Invalid order\")\n };\n previous := next\n }\n }\n }\n }\n }\n };\n checkIteration(entries(self), #less);\n checkIteration(reverseEntries(self), #greater)\n };\n\n /// Generate a textual representation of all the entries in the map.\n /// Primarily to be used for testing and debugging.\n /// The keys and values are formatted according to `keyFormat` and `valueFormat`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// assert Map.toText(map, Nat.toText, func t { t }) == \"Map{(0, Zero), (1, One), (2, Two)}\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that `keyFormat` and `valueFormat` have runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func toText(self : Map, keyFormat : (implicit : (toText : K -> Text)), valueFormat : (implicit : (toText : V -> Text))) : Text {\n var text = \"Map{\";\n var sep = \"\";\n for ((key, value) in entries(self)) {\n text #= sep # \"(\" # keyFormat(key) # \", \" # valueFormat(value) # \")\";\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Compare two maps by primarily comparing keys and secondarily values.\n /// Both maps must have been created by the same key comparison function.\n /// The two maps are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `map1` is less than `map2` if:\n /// * the pairwise iteration hits a entry pair `entry1` and `entry2` where\n /// `entry1` is less than `entry2` and all preceding entry pairs are equal, or,\n /// * `map1` is a strict prefix of `map2`, i.e. `map2` has more entries than `map1`\n /// and all entries of `map1` occur at the beginning of iteration `map2`.\n /// `entry1` is less than `entry2` if:\n /// * the key of `entry1` is less than the key of `entry2`, or\n /// * `entry1` and `entry2` have equal keys and the value of `entry1` is less than\n /// the value of `entry2`.\n /// Equal:\n /// `map1` and `map2` have same series of equal entries by pairwise iteration.\n /// Greater:\n /// `map1` is neither less nor equal `map2`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter([(0, \"Zero\"), (1, \"One\")].values(), Nat.compare);\n /// let map2 = Map.fromIter([(0, \"Zero\"), (2, \"Two\")].values(), Nat.compare);\n ///\n /// assert Map.compare(map1, map2, Nat.compare, Text.compare) == #less;\n /// assert Map.compare(map1, map1, Nat.compare, Text.compare) == #equal;\n /// assert Map.compare(map2, map1, Nat.compare, Text.compare) == #greater\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that `compareKey` and `compareValue` have runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Map, other : Map, compareKey : (implicit : (compare : (K, K) -> Order.Order)), compareValue : (implicit : (compare : (V, V) -> Order.Order))) : Order.Order {\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?(key1, value1), ?(key2, value2)) {\n let keyComparison = compareKey(key1, key2);\n if (keyComparison != #equal) {\n return keyComparison\n };\n let valueComparison = compareValue(value1, value2);\n if (valueComparison != #equal) {\n return valueComparison\n }\n }\n }\n }\n };\n\n func leafEntries({ data } : Leaf) : Types.Iter<(K, V)> {\n var i : Nat = 0;\n object {\n public func next() : ?(K, V) {\n if (i >= data.count) {\n null\n } else {\n let res = data.kvs[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func leafEntriesFrom({ data } : Leaf, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n var i = switch (BinarySearch.binarySearchNode(data.kvs, compare, key, data.count)) {\n case (#keyFound(i)) i;\n case (#notFound(i)) i\n };\n object {\n public func next() : ?(K, V) {\n if (i >= data.count) {\n null\n } else {\n let res = data.kvs[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func reverseLeafEntries({ data } : Leaf) : Types.Iter<(K, V)> {\n var i : Nat = data.count;\n object {\n public func next() : ?(K, V) {\n if (i == 0) {\n null\n } else {\n let res = data.kvs[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n func reverseLeafEntriesFrom({ data } : Leaf, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n var i = switch (BinarySearch.binarySearchNode(data.kvs, compare, key, data.count)) {\n case (#keyFound(i)) i + 1; // +1 to include this key\n case (#notFound(i)) i // i is the index of the first key greater than the search key, or count if all keys are less than the search key\n };\n object {\n public func next() : ?(K, V) {\n if (i == 0) {\n null\n } else {\n let res = data.kvs[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n // Cursor type that keeps track of the current node and the current key-value index in the node\n type NodeCursor = { node : Node; kvIndex : Nat };\n\n func internalEntries(internal : Internal) : Types.Iter<(K, V)> {\n // The nodeCursorStack keeps track of the current node and the current key-value index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeForwardNodeCursorStack(internal);\n internalEntriesFromStack(nodeCursorStack)\n };\n\n func internalEntriesFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n let nodeCursorStack = initializeForwardNodeCursorStackFrom(internal, compare, key);\n internalEntriesFromStack(nodeCursorStack)\n };\n\n func internalEntriesFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter<(K, V)> {\n object {\n public func next() : ?(K, V) {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; kvIndex }) {\n switch (node) {\n // if a leaf node, iterate through the leaf node's next key-value pair\n case (#leaf(leafNode)) {\n let lastKV = leafNode.data.count - 1 : Nat;\n if (kvIndex > lastKV) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), leaf kvIndex out of bounds\")\n };\n\n let currentKV = switch (leafNode.data.kvs[kvIndex]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), null key-value pair found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n // if not at the last key-value pair, push the next key-value index of the leaf onto the stack and return the current key-value pair\n if (kvIndex < lastKV) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n kvIndex = kvIndex + 1 : Nat\n }\n )\n };\n\n // return the current key-value pair\n ?currentKV\n };\n // if an internal node\n case (#internal(internalNode)) {\n let lastKV = internalNode.data.count - 1 : Nat;\n // Developer facing message in case of a bug\n if (kvIndex > lastKV) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), internal kvIndex out of bounds\")\n };\n\n let currentKV = switch (internalNode.data.kvs[kvIndex]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), null key-value pair found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n\n let nextCursor = {\n node = #internal(internalNode);\n kvIndex = kvIndex + 1 : Nat\n };\n // if not the last key-value pair, push the next key-value index of the internal node onto the stack\n if (kvIndex < lastKV) {\n Stack.push(nodeCursorStack, nextCursor)\n };\n // traverse the next child's min subtree and push the resulting node cursors onto the stack\n // then return the current key-value pair of the internal node\n traverseMinSubtreeIter(nodeCursorStack, nextCursor);\n ?currentKV\n }\n }\n }\n }\n }\n }\n };\n\n func reverseInternalEntries(internal : Internal) : Types.Iter<(K, V)> {\n // The nodeCursorStack keeps track of the current node and the current key-value index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeReverseNodeCursorStack(internal);\n reverseInternalEntriesFromStack(nodeCursorStack)\n };\n\n func reverseInternalEntriesFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n let nodeCursorStack = initializeReverseNodeCursorStackFrom(internal, compare, key);\n reverseInternalEntriesFromStack(nodeCursorStack)\n };\n\n func reverseInternalEntriesFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter<(K, V)> {\n object {\n public func next() : ?(K, V) {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; kvIndex }) {\n let firstKV = 0 : Nat;\n assert (kvIndex > firstKV);\n switch (node) {\n // if a leaf node, reverse iterate through the leaf node's next key-value pair\n case (#leaf(leafNode)) {\n let currentKV = switch (leafNode.data.kvs[kvIndex - 1]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.reverseInternalEntries(), null key-value pair found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n // if not at the last key-value pair, push the previous key-value index of the leaf onto the stack and return the current key-value pair\n if (kvIndex - 1 : Nat > firstKV) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n kvIndex = kvIndex - 1 : Nat\n }\n )\n };\n\n // return the current key-value pair\n ?currentKV\n };\n // if an internal node\n case (#internal(internalNode)) {\n let currentKV = switch (internalNode.data.kvs[kvIndex - 1]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.reverseInternalEntries(), null key-value pair found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n\n let previousCursor = {\n node = #internal(internalNode);\n kvIndex = kvIndex - 1 : Nat\n };\n // if not the first key-value pair, push the previous key-value index of the internal node onto the stack\n if (kvIndex - 1 : Nat > firstKV) {\n Stack.push(nodeCursorStack, previousCursor)\n };\n // traverse the previous child's max subtree and push the resulting node cursors onto the stack\n // then return the current key-value pair of the internal node\n traverseMaxSubtreeIter(nodeCursorStack, previousCursor);\n ?currentKV\n }\n }\n }\n }\n }\n }\n };\n\n func initializeForwardNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = 0\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMinSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeForwardNodeCursorStackFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = 0\n };\n\n traverseMinSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, key);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = internal.data.count\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMaxSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStackFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = internal.data.count\n };\n\n traverseMaxSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, key);\n nodeCursorStack\n };\n\n // traverse the min subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMinSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.kvIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the minimum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's left most child to the stack and continue traversing\n case (#internal(internalNode)) {\n switch (internalNode.children[childIndex]) {\n // Push the next min (left most) child node to the stack\n case (?childNode) {\n childIndex := 0;\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMinSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMinSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (K, K) -> Order.Order, key : K) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getKeyIndex(node.data, compare, key)) {\n case (#keyFound(i)) (i, true);\n case (#notFound(i)) (i, false)\n };\n if (i < node.data.count) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = i // greater entries to traverse\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMinSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // traverse the max subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMaxSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.kvIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the maximum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's right most child to the stack and continue traversing\n case (#internal(internalNode)) {\n assert (childIndex <= internalNode.data.count); // children are one more than data entries\n switch (internalNode.children[childIndex]) {\n // Push the next max (right most) child node to the stack\n case (?childNode) {\n childIndex := switch (childNode) {\n case (#internal(internalNode)) internalNode.data.count;\n case (#leaf(leafNode)) leafNode.data.count\n };\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMaxSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMaxSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (K, K) -> Order.Order, key : K) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getKeyIndex(node.data, compare, key)) {\n case (#keyFound(i)) (i + 1, true); // +1 to include this key\n case (#notFound(i)) (i, false) // i is the index of the first key less than the search key, or 0 if all keys are greater than the search key\n };\n if (i > 0) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = i\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMaxSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInternalDeleteResult = {\n // element was deleted or not found, returning the old value (?value or null)\n #delete : ?V;\n // deleted an element, but was unable to successfully borrow and rebalance at the previous level without merging children\n // the internalChild is the merged child that needs to be rebalanced at the next level up in the BTree\n #mergeChild : {\n internalChild : Internal;\n deletedValue : ?V\n }\n };\n\n func internalDeleteHelper(internalNode : Internal, order : Nat, compare : (K, K) -> Order.Order, deleteKey : K, skipNode : Bool) : IntermediateInternalDeleteResult {\n let minKeys = NodeUtil.minKeysFromOrder(order);\n let keyIndex = NodeUtil.getKeyIndex(internalNode.data, compare, deleteKey);\n\n // match on both the result of the node binary search, and if this node level should be skipped even if the key is found (internal kv replacement case)\n switch (keyIndex, skipNode) {\n // if key is found in the internal node\n case (#keyFound(deleteIndex), false) {\n let deletedValue = switch (internalNode.data.kvs[deleteIndex]) {\n case (?kv) { ?kv.1 };\n case null { assert false; null }\n };\n // TODO: (optimization) replace with deletion in one step without having to retrieve the maxKey first\n let replaceKV = NodeUtil.getMaxKeyValue(internalNode.children[deleteIndex]);\n internalNode.data.kvs[deleteIndex] := ?replaceKV;\n switch (internalDeleteHelper(internalNode, order, compare, replaceKV.0, true)) {\n case (#delete(_)) { #delete(deletedValue) };\n case (#mergeChild({ internalChild })) {\n #mergeChild({ internalChild; deletedValue })\n }\n }\n };\n // if key is not found in the internal node OR the key is found, but skipping this node (because deleting the in order precessor i.e. replacement kv)\n // in both cases need to descend and traverse to find the kv to delete\n case ((#keyFound(_), true) or (#notFound(_), _)) {\n let childIndex = switch (keyIndex) {\n case (#keyFound(replacedSkipKeyIndex)) { replacedSkipKeyIndex };\n case (#notFound(childIndex)) { childIndex }\n };\n let child = switch (internalNode.children[childIndex]) {\n case (?c) { c };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalDeleteHelper, child index of #keyFound or #notfound is null\")\n }\n };\n switch (child) {\n // if child is internal\n case (#internal(internalChild)) {\n switch (internalDeleteHelper(internalChild, order, compare, deleteKey, false), childIndex == 0) {\n // if value was successfully deleted and no additional tree re-balancing is needed, return the deleted value\n case (#delete(v), _) { #delete(v) };\n // if internalChild needs rebalancing and pulling child is left most\n case (#mergeChild({ internalChild; deletedValue }), true) {\n // try to pull left-most key and child from right sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex + 1, #successor)) {\n // if can pull up sibling kv and child\n case (#borrowed({ deletedSiblingKVPair; child })) {\n NodeUtil.rotateBorrowedKVsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingKVPair,\n child,\n internalChild,\n #right\n );\n #delete(deletedValue)\n };\n // unable to pull from sibling, need to merge with right sibling and push down parent\n case (#notEnoughKeys(sibling)) {\n // get the parent kv that will be pushed down the the child\n let kvPairToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.kvs, 0);\n internalNode.data.count -= 1;\n // merge the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(internalChild, kvPairToBePushedToChild, sibling);\n // update children of the parent\n internalNode.children[0] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, 1);\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({ internalChild = internalNode; deletedValue })\n } else {\n #delete(deletedValue)\n }\n }\n }\n };\n // if internalChild needs rebalancing and pulling child is > 0, so a left sibling exists\n case (#mergeChild({ internalChild; deletedValue }), false) {\n // try to pull right-most key and its child directly from left sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex - 1 : Nat, #predecessor)) {\n case (#borrowed({ deletedSiblingKVPair; child })) {\n NodeUtil.rotateBorrowedKVsAndChildFromSibling(\n internalNode,\n childIndex - 1 : Nat,\n deletedSiblingKVPair,\n child,\n internalChild,\n #left\n );\n #delete(deletedValue)\n };\n // unable to pull from left sibling\n case (#notEnoughKeys(leftSibling)) {\n // if child is not last index, try to pull from the right child\n if (childIndex < internalNode.data.count) {\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex, #successor)) {\n // if can pull up sibling kv and child\n case (#borrowed({ deletedSiblingKVPair; child })) {\n NodeUtil.rotateBorrowedKVsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingKVPair,\n child,\n internalChild,\n #right\n );\n return #delete(deletedValue)\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // get the parent kv that will be pushed down the the child\n let kvPairToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.kvs, childIndex - 1 : Nat);\n internalNode.data.count -= 1;\n // merge it the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(leftSibling, kvPairToBePushedToChild, internalChild);\n\n // update children of the parent\n internalNode.children[childIndex - 1] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, childIndex);\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({ internalChild = internalNode; deletedValue })\n } else {\n #delete(deletedValue)\n }\n }\n }\n }\n }\n };\n // if child is leaf\n case (#leaf(leafChild)) {\n switch (leafDeleteHelper(leafChild, order, compare, deleteKey), childIndex == 0) {\n case (#delete(value), _) { #delete(value) };\n // if delete child is left most, try to borrow from right child\n case (#mergeLeafData({ leafDeleteIndex }), true) {\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedKVPair) {\n let kvPairToBePushedToChild = internalNode.data.kvs[childIndex];\n internalNode.data.kvs[childIndex] := ?borrowedKVPair;\n\n let deletedKV = BTreeHelper.insertAtPostionAndDeleteAtPosition<(K, V)>(leafChild.data.kvs, kvPairToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n #delete(?deletedKV.1)\n };\n\n case null {\n // can't borrow from right child, delete from leaf and merge with right child and parent kv, then push down into new leaf\n let rightChild = switch (internalNode.children[childIndex + 1]) {\n case (?#leaf(rc)) { rc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalDeleteHelper, if trying to borrow from right leaf child is null, rightChild index cannot be null or internal\")\n }\n };\n let (mergedLeaf, deletedKV) = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.kvs[childIndex],\n leafChild,\n rightChild,\n leafDeleteIndex,\n #left\n );\n // delete the left most internal node kv, since was merging from a deletion in left most child (0) and the parent kv was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift<(K, V)>(internalNode.data.kvs, 0);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), 0);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({\n internalChild = internalNode;\n deletedValue = ?deletedKV.1\n })\n } else {\n #delete(?deletedKV.1)\n }\n\n }\n }\n };\n // if delete child is middle or right most, try to borrow from left child\n case (#mergeLeafData({ leafDeleteIndex }), false) {\n // if delete child is right most, try to borrow from left child\n switch (NodeUtil.borrowFromLeftLeafChild(internalNode.children, childIndex)) {\n case (?borrowedKVPair) {\n let kvPairToBePushedToChild = internalNode.data.kvs[childIndex - 1];\n internalNode.data.kvs[childIndex - 1] := ?borrowedKVPair;\n let kvDelete = BTreeHelper.insertAtPostionAndDeleteAtPosition<(K, V)>(leafChild.data.kvs, kvPairToBePushedToChild, 0, leafDeleteIndex);\n #delete(?kvDelete.1)\n };\n case null {\n // if delete child is in the middle, try to borrow from right child\n if (childIndex < internalNode.data.count) {\n // try to borrow from right\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedKVPair) {\n let kvPairToBePushedToChild = internalNode.data.kvs[childIndex];\n internalNode.data.kvs[childIndex] := ?borrowedKVPair;\n // insert the successor at the very last element\n let kvDelete = BTreeHelper.insertAtPostionAndDeleteAtPosition<(K, V)>(leafChild.data.kvs, kvPairToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n return #delete(?kvDelete.1)\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // can't borrow from left child, delete from leaf and merge with left child and parent kv, then push down into new leaf\n let leftChild = switch (internalNode.children[childIndex - 1]) {\n case (?#leaf(lc)) { lc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalDeleteHelper, if trying to borrow from left leaf child is null, then left child index must not be null or internal\")\n }\n };\n let (mergedLeaf, deletedKV) = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.kvs[childIndex - 1],\n leftChild,\n leafChild,\n leafDeleteIndex,\n #right\n );\n // delete the right most internal node kv, since was merging from a deletion in the right most child and the parent kv was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift<(K, V)>(internalNode.data.kvs, childIndex - 1);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), childIndex - 1);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({\n internalChild = internalNode;\n deletedValue = ?deletedKV.1\n })\n } else {\n #delete(?deletedKV.1)\n }\n }\n }\n }\n }\n }\n }\n }\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateLeafDeleteResult = {\n // element was deleted or not found, returning the old value (?value or null)\n #delete : ?V;\n // leaf had the minimum number of keys when deleting, so returns the leaf node's data and the index of the key that will be deleted\n #mergeLeafData : {\n data : Data;\n leafDeleteIndex : Nat\n }\n };\n\n func leafDeleteHelper(leafNode : Leaf, order : Nat, compare : (K, K) -> Order.Order, deleteKey : K) : IntermediateLeafDeleteResult {\n let minKeys = NodeUtil.minKeysFromOrder(order);\n\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, deleteKey)) {\n case (#keyFound(deleteIndex)) {\n if (leafNode.data.count > minKeys) {\n leafNode.data.count -= 1;\n #delete(?BTreeHelper.deleteAndShift<(K, V)>(leafNode.data.kvs, deleteIndex).1)\n } else {\n #mergeLeafData({\n data = leafNode.data;\n leafDeleteIndex = deleteIndex\n })\n }\n };\n case (#notFound(_)) {\n #delete(null)\n }\n }\n };\n\n // get helper if internal node\n func getFromInternal(internalNode : Internal, compare : (K, K) -> Order.Order, key : K) : ?V {\n switch (NodeUtil.getKeyIndex(internalNode.data, compare, key)) {\n case (#keyFound(index)) {\n getExistingValueFromIndex(internalNode.data, index)\n };\n case (#notFound(index)) {\n switch (internalNode.children[index]) {\n // expects the child to be there, otherwise there's a bug in binary search or the tree is invalid\n case null { Runtime.trap(\"Internal bug: Map.getFromInternal\") };\n case (?#leaf(leafNode)) { getFromLeaf(leafNode, compare, key) };\n case (?#internal(internalNode)) {\n getFromInternal(internalNode, compare, key)\n }\n }\n }\n }\n };\n\n // get function helper if leaf node\n func getFromLeaf(leafNode : Leaf, compare : (K, K) -> Order.Order, key : K) : ?V {\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, key)) {\n case (#keyFound(index)) {\n getExistingValueFromIndex(leafNode.data, index)\n };\n case _ null\n }\n };\n\n // get function helper that retrieves an existing value in the case that the key is found\n func getExistingValueFromIndex(data : Data, index : Nat) : ?V {\n switch (data.kvs[index]) {\n case null { null };\n case (?ov) { ?ov.1 }\n }\n };\n\n // which child the deletionIndex is referring to\n type DeletionSide = { #left; #right };\n\n func mergeParentWithLeftRightChildLeafNodesAndDelete(\n parentKV : ?(K, V),\n leftChild : Leaf,\n rightChild : Leaf,\n deleteIndex : Nat,\n deletionSide : DeletionSide\n ) : (Leaf, (K, V)) {\n let count = leftChild.data.count * 2;\n let (kvs, deletedKV) = BTreeHelper.mergeParentWithChildrenAndDelete<(K, V)>(\n parentKV,\n leftChild.data.count,\n leftChild.data.kvs,\n rightChild.data.kvs,\n deleteIndex,\n deletionSide\n );\n (\n {\n data = {\n kvs;\n var count = count\n }\n },\n deletedKV\n )\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInsertResult = {\n // element was inserted or replaced, returning the old value (?value or null)\n #insert : ?V;\n // child was full when inserting, so returns the promoted kv pair and the split left and right child\n #promote : {\n kv : (K, V);\n leftChild : Node;\n rightChild : Node\n }\n };\n\n // Helper for inserting into a leaf node\n func leafInsertHelper(leafNode : Leaf, order : Nat, compare : (K, K) -> Order.Order, key : K, value : V) : (IntermediateInsertResult) {\n // Perform binary search to see if the element exists in the node\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, key)) {\n case (#keyFound(insertIndex)) {\n let previous = leafNode.data.kvs[insertIndex];\n leafNode.data.kvs[insertIndex] := ?(key, value);\n switch (previous) {\n case (?ov) { #insert(?ov.1) };\n case null { assert false; #insert(null) }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxKeys : Nat = order - 1;\n // If the leaf is full, insert, split the node, and promote the middle element\n if (leafNode.data.count >= maxKeys) {\n let (leftKVs, promotedParentElement, rightKVs) = BTreeHelper.insertOneAtIndexAndSplitArray(\n leafNode.data.kvs,\n (key, value),\n insertIndex\n );\n\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n (\n #promote({\n kv = promotedParentElement;\n leftChild = createLeaf(leftKVs, leftCount);\n rightChild = createLeaf(rightKVs, rightCount)\n })\n )\n }\n // Otherwise, insert at the specified index (shifting elements over if necessary)\n else {\n NodeUtil.insertAtIndexOfNonFullNodeData(leafNode.data, ?(key, value), insertIndex);\n #insert(null)\n }\n }\n }\n };\n\n // Helper for inserting into an internal node\n func internalInsertHelper(internalNode : Internal, order : Nat, compare : (K, K) -> Order.Order, key : K, value : V) : IntermediateInsertResult {\n switch (NodeUtil.getKeyIndex(internalNode.data, compare, key)) {\n case (#keyFound(insertIndex)) {\n let previous = internalNode.data.kvs[insertIndex];\n internalNode.data.kvs[insertIndex] := ?(key, value);\n switch (previous) {\n case (?ov) { #insert(?ov.1) };\n case null { assert false; #insert(null) }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n let insertResult = switch (internalNode.children[insertIndex]) {\n case null { assert false; #insert(null) };\n case (?#leaf(leafNode)) {\n leafInsertHelper(leafNode, order, compare, key, value)\n };\n case (?#internal(internalChildNode)) {\n internalInsertHelper(internalChildNode, order, compare, key, value)\n }\n };\n\n switch (insertResult) {\n case (#insert(ov)) { #insert(ov) };\n case (#promote({ kv; leftChild; rightChild })) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxKeys : Nat = order - 1;\n // if current internal node is full, need to split the internal node\n if (internalNode.data.count >= maxKeys) {\n // insert and split internal kvs, determine new promotion target kv\n let (leftKVs, promotedParentElement, rightKVs) = BTreeHelper.insertOneAtIndexAndSplitArray(\n internalNode.data.kvs,\n (kv),\n insertIndex\n );\n\n // calculate the element count in the left KVs and the element count in the right KVs\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n // split internal children\n let (leftChildren, rightChildren) = NodeUtil.splitChildrenInTwoWithRebalances(\n internalNode.children,\n insertIndex,\n leftChild,\n rightChild\n );\n\n // send the kv to be promoted, as well as the internal children left and right split\n #promote({\n kv = promotedParentElement;\n leftChild = #internal({\n data = { kvs = leftKVs; var count = leftCount };\n children = leftChildren\n });\n rightChild = #internal({\n data = { kvs = rightKVs; var count = rightCount };\n children = rightChildren\n })\n })\n } else {\n // insert the new kvs into the internal node\n NodeUtil.insertAtIndexOfNonFullNodeData(internalNode.data, ?kv, insertIndex);\n // split and re-insert the single child that needs rebalancing\n NodeUtil.insertRebalancedChild(internalNode.children, insertIndex, leftChild, rightChild);\n #insert(null)\n }\n }\n }\n }\n }\n };\n\n func createLeaf(kvs : [var ?(K, V)], count : Nat) : Node {\n #leaf({\n data = {\n kvs;\n var count\n }\n })\n };\n\n // Additional functionality compared to original source.\n\n func mapData(data : Data, project : (K, V1) -> V2) : Data {\n {\n kvs = VarArray.map(\n data.kvs,\n func entry {\n switch entry {\n case (?kv) ?(kv.0, project kv);\n case null null\n }\n }\n );\n var count = data.count\n }\n };\n\n func mapNode(node : Node, project : (K, V1) -> V2) : Node {\n switch node {\n case (#leaf { data }) {\n #leaf { data = mapData(data, project) }\n };\n case (#internal { data; children }) {\n let mappedData = mapData(data, project);\n let mappedChildren = VarArray.map, ?Node>(\n children,\n func child {\n switch child {\n case null null;\n case (?childNode) ?mapNode(childNode, project)\n }\n }\n );\n # internal({\n data = mappedData;\n children = mappedChildren\n })\n }\n }\n };\n\n func cloneNode(node : Node) : Node = mapNode(node, func(k, v) = v);\n\n module BinarySearch {\n public type SearchResult = {\n #keyFound : Nat;\n #notFound : Nat\n };\n\n /// Searches an array for a specific key, returning the index it occurs at if #keyFound, or the child/insert index it may occur at\n /// if #notFound. This is used when determining if a key exists in an internal or leaf node, where a key should be inserted in a\n /// leaf node, or which child of an internal node a key could be in.\n ///\n /// Note: This function expects a mutable, nullable, array of keys in sorted order, where all nulls appear at the end of the array.\n /// This function may trap if a null value appears before any values. It also expects a maxIndex, which is the right-most index (bound)\n /// from which to begin the binary search (the left most bound is expected to be 0)\n ///\n /// Parameters:\n ///\n /// * array - the sorted array that the binary search is performed upon\n /// * compare - the comparator used to perform the search\n /// * searchKey - the key being compared against in the search\n /// * maxIndex - the right-most index (bound) from which to begin the search\n public func binarySearchNode(array : [var ?(K, V)], compare : (implicit : (K, K) -> Order.Order), searchKey : K, maxIndex : Nat) : SearchResult {\n // TODO: get rid of this check?\n // Trap if array is size 0 (should not happen)\n if (array.size() == 0) {\n assert false\n };\n\n // if all elements in the array are null (i.e. first element is null), return #notFound(0)\n if (maxIndex == 0) {\n return #notFound(0)\n };\n\n // Initialize search from first to last index\n var left : Nat = 0;\n var right = maxIndex; // maxIndex does not necessarily mean array.size() - 1\n // Search the array\n while (left < right) {\n let middle = (left + right) / 2;\n switch (array[middle]) {\n case null { assert false };\n case (?(key, _)) {\n switch (compare(searchKey, key)) {\n // If the element is present at the middle itself\n case (#equal) { return #keyFound(middle) };\n // If element is greater than mid, it can only be present in left subarray\n case (#greater) { left := middle + 1 };\n // If element is smaller than mid, it can only be present in right subarray\n case (#less) {\n right := if (middle == 0) { 0 } else { middle - 1 }\n }\n }\n }\n }\n };\n\n if (left == array.size()) {\n return #notFound(left)\n };\n\n // left == right\n switch (array[left]) {\n // inserting at end of array\n case null { #notFound(left) };\n case (?(key, _)) {\n switch (compare(searchKey, key)) {\n // if left is the key\n case (#equal) { #keyFound(left) };\n // if the key is not found, return notFound and the insert location\n case (#greater) { #notFound(left + 1) };\n case (#less) { #notFound(left) }\n }\n }\n }\n }\n };\n\n module NodeUtil {\n /// Inserts element at the given index into a non-full leaf node\n public func insertAtIndexOfNonFullNodeData(data : Data, kvPair : ?(K, V), insertIndex : Nat) {\n let currentLastElementIndex : Nat = if (data.count == 0) { 0 } else {\n data.count - 1\n };\n BTreeHelper.insertAtPosition<(K, V)>(data.kvs, kvPair, insertIndex, currentLastElementIndex);\n\n // increment the count of data in this node since just inserted an element\n data.count += 1\n };\n\n /// Inserts two rebalanced (split) child halves into a non-full array of children.\n public func insertRebalancedChild(children : [var ?Node], rebalancedChildIndex : Nat, leftChildInsert : Node, rightChildInsert : Node) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n var j : Nat = children.size() - 2;\n\n // This is just a sanity check to ensure the children aren't already full (should split promote otherwise)\n // TODO: Remove this check once confident\n if (Option.isSome(children[j + 1])) { assert false };\n\n // Iterate backwards over the array and shift each element over to the right by one until the rebalancedChildIndex is hit\n while (j > rebalancedChildIndex) {\n children[j + 1] := children[j];\n j -= 1\n };\n\n // Insert both the left and right rebalanced children (replacing the pre-split child)\n children[j] := ?leftChildInsert;\n children[j + 1] := ?rightChildInsert\n };\n\n /// Used when splitting the children of an internal node\n ///\n /// Takes in the rebalanced child index, as well as both halves of the rebalanced child and splits the children, inserting the left and right child halves appropriately\n ///\n /// For more context, see the documentation for the splitArrayAndInsertTwo method in BTreeHelper.mo\n public func splitChildrenInTwoWithRebalances(\n children : [var ?Node],\n rebalancedChildIndex : Nat,\n leftChildInsert : Node,\n rightChildInsert : Node\n ) : ([var ?Node], [var ?Node]) {\n BTreeHelper.splitArrayAndInsertTwo>(children, rebalancedChildIndex, leftChildInsert, rightChildInsert)\n };\n\n /// Helper used to get the key index of of a key within a node\n ///\n /// for more, see the BinarySearch.binarySearchNode() documentation\n public func getKeyIndex(data : Data, compare : (K, K) -> Order.Order, key : K) : BinarySearch.SearchResult {\n BinarySearch.binarySearchNode(data.kvs, compare, key, data.count)\n };\n\n // calculates a BTree Node's minimum allowed keys given the order of the BTree\n public func minKeysFromOrder(order : Nat) : Nat {\n if (order % 2 == 0) { order / 2 - 1 } else { order / 2 }\n };\n\n // Given a node, get the maximum key value (right most leaf kv)\n public func getMaxKeyValue(node : ?Node) : (K, V) {\n switch (node) {\n case (?#leaf({ data })) {\n switch (data.kvs[data.count - 1]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.getMaxKeyValue, data cannot have more elements than it's count\")\n };\n case (?kv) { kv }\n }\n };\n case (?#internal({ data; children })) {\n getMaxKeyValue(children[data.count])\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.getMaxKeyValue, the node provided cannot be null\")\n }\n }\n };\n\n type InorderBorrowType = {\n #predecessor;\n #successor\n };\n\n // attempts to retrieve the in max key of the child leaf node directly to the left if the node will allow it\n // returns the deleted max key if able to retrieve, null if not able\n //\n // mutates the predecessing node's keys\n public func borrowFromLeftLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?(K, V) {\n let predecessorIndex : Nat = ofChildIndex - 1;\n borrowFromLeafChild(children, predecessorIndex, #predecessor)\n };\n\n // attempts to retrieve the in max key of the child leaf node directly to the right if the node will allow it\n // returns the deleted max key if able to retrieve, null if not able\n //\n // mutates the predecessing node's keys\n public func borrowFromRightLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?(K, V) {\n borrowFromLeafChild(children, ofChildIndex + 1, #successor)\n };\n\n func borrowFromLeafChild(children : [var ?Node], borrowChildIndex : Nat, childSide : InorderBorrowType) : ?(K, V) {\n let minKeys = minKeysFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#leaf({ data })) {\n if (data.count > minKeys) {\n // able to borrow a key-value from this child, so decrement the count of kvs\n data.count -= 1; // Since enforce order >= 4, there will always be at least 1 element per node\n switch (childSide) {\n case (#predecessor) {\n let deletedKV = data.kvs[data.count];\n data.kvs[data.count] := null;\n deletedKV\n };\n case (#successor) {\n ?BTreeHelper.deleteAndShift(data.kvs, 0)\n }\n }\n } else { null }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.borrowFromLeafChild, the node at the borrow child index cannot be null or internal\")\n }\n }\n };\n\n type InternalBorrowResult = {\n #borrowed : InternalBorrow;\n #notEnoughKeys : Internal\n };\n\n type InternalBorrow = {\n deletedSiblingKVPair : ?(K, V);\n child : ?Node\n };\n\n // Attempts to borrow a KV and child from an internal sibling node\n public func borrowFromInternalSibling(children : [var ?Node], borrowChildIndex : Nat, borrowType : InorderBorrowType) : InternalBorrowResult {\n let minKeys = minKeysFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#internal({ data; children })) {\n if (data.count > minKeys) {\n data.count -= 1;\n switch (borrowType) {\n case (#predecessor) {\n let deletedSiblingKVPair = data.kvs[data.count];\n data.kvs[data.count] := null;\n let child = children[data.count + 1];\n children[data.count + 1] := null;\n #borrowed({\n deletedSiblingKVPair;\n child\n })\n };\n case (#successor) {\n #borrowed({\n deletedSiblingKVPair = ?BTreeHelper.deleteAndShift(data.kvs, 0);\n child = ?BTreeHelper.deleteAndShift(children, 0)\n })\n }\n }\n } else { #notEnoughKeys({ data; children }) }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.borrowFromInternalSibling from internal sibling, the child at the borrow index cannot be null or a leaf\")\n }\n }\n };\n\n type SiblingSide = { #left; #right };\n\n // Rotates the borrowed KV and child from sibling side of the internal node to the internal child recipient\n public func rotateBorrowedKVsAndChildFromSibling(\n internalNode : Internal,\n parentRotateIndex : Nat,\n borrowedSiblingKVPair : ?(K, V),\n borrowedSiblingChild : ?Node,\n internalChildRecipient : Internal,\n siblingSide : SiblingSide\n ) {\n // if borrowing from the left, the rotated key and child will always be inserted first\n // if borrowing from the right, the rotated key and child will always be inserted last\n let (kvIndex, childIndex) = switch (siblingSide) {\n case (#left) { (0, 0) };\n case (#right) {\n (internalChildRecipient.data.count, internalChildRecipient.data.count + 1)\n }\n };\n\n // get the parent kv that will be pushed down the the child\n let kvPairToBePushedToChild = internalNode.data.kvs[parentRotateIndex];\n // replace the parent with the sibling kv\n internalNode.data.kvs[parentRotateIndex] := borrowedSiblingKVPair;\n // push the kv and child down into the internalChild\n insertAtIndexOfNonFullNodeData(internalChildRecipient.data, kvPairToBePushedToChild, kvIndex);\n\n BTreeHelper.insertAtPosition>(internalChildRecipient.children, borrowedSiblingChild, childIndex, internalChildRecipient.data.count)\n };\n\n // Merges the kvs and children of two internal nodes, pushing the parent kv in between the right and left halves\n public func mergeChildrenAndPushDownParent(leftChild : Internal, parentKV : ?(K, V), rightChild : Internal) : Internal {\n {\n data = mergeData(leftChild.data, parentKV, rightChild.data);\n children = mergeChildren(leftChild.children, rightChild.children)\n }\n };\n\n func mergeData(leftData : Data, parentKV : ?(K, V), rightData : Data) : Data {\n assert leftData.count <= minKeysFromOrder(leftData.kvs.size() + 1);\n assert rightData.count <= minKeysFromOrder(rightData.kvs.size() + 1);\n\n let mergedKVs = VarArray.repeat(null, leftData.kvs.size());\n var i = 0;\n while (i < leftData.count) {\n mergedKVs[i] := leftData.kvs[i];\n i += 1\n };\n\n mergedKVs[i] := parentKV;\n i += 1;\n\n var j = 0;\n while (j < rightData.count) {\n mergedKVs[i] := rightData.kvs[j];\n i += 1;\n j += 1\n };\n\n {\n kvs = mergedKVs;\n var count = leftData.count + 1 + rightData.count\n }\n };\n\n func mergeChildren(leftChildren : [var ?Node], rightChildren : [var ?Node]) : [var ?Node] {\n let mergedChildren = VarArray.repeat>(null, leftChildren.size());\n var i = 0;\n\n while (Option.isSome(leftChildren[i])) {\n mergedChildren[i] := leftChildren[i];\n i += 1\n };\n\n var j = 0;\n while (Option.isSome(rightChildren[j])) {\n mergedChildren[i] := rightChildren[j];\n i += 1;\n j += 1\n };\n\n mergedChildren\n }\n }\n}\n"},"Set.mo":{"content":"/// Imperative (mutable) sets based on order/comparison of elements.\n/// A set is a collection of elements without duplicates.\n/// The set data structure type is stable and can be used for orthogonal persistence.\n///\n/// Example:\n/// ```motoko\n/// import Set \"mo:core/Set\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// let set = Set.fromIter([3, 1, 2, 3].vals(), Nat.compare);\n/// assert Set.size(set) == 3;\n/// assert not Set.contains(set, Nat.compare, 4);\n/// let diff = Set.difference(set, set, Nat.compare);\n/// assert Set.isEmpty(diff);\n/// }\n/// ```\n///\n/// These sets are implemented as B-trees with order 32, a balanced search tree of ordered elements.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire tree,\n/// where `n` denotes the number of elements stored in the set.\n\n// Data structure implementation is courtesy of Byron Becker.\n// Source: https://github.com/canscale/StableHeapBTreeMap\n// Copyright (c) 2022 Byron Becker.\n// Distributed under Apache 2.0 license.\n// With adjustments by the Motoko team.\n\nimport PureSet \"pure/Set\";\nimport Types \"Types\";\nimport Order \"Order\";\nimport Array \"Array\";\nimport VarArray \"VarArray\";\nimport Runtime \"Runtime\";\nimport Stack \"Stack\";\nimport Option \"Option\";\nimport Iter \"Iter\";\nimport BTreeHelper \"internal/BTreeHelper\";\n\nmodule {\n let btreeOrder = 32; // Should be >= 4 and <= 512.\n\n public type Set = Types.Set.Set;\n type Node = Types.Set.Node;\n type Data = Types.Set.Data;\n type Internal = Types.Set.Internal;\n type Leaf = Types.Set.Leaf;\n\n /// Convert the mutable set to an immutable, purely functional set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import PureSet \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 1].values(), Nat.compare);\n /// let pureSet = Set.toPure(set, Nat.compare);\n /// assert Iter.toArray(PureSet.values(pureSet)) == Iter.toArray(Set.values(set));\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n /// @deprecated M0235\n public func toPure(self : Set, compare : (implicit : (T, T) -> Order.Order)) : PureSet.Set {\n PureSet.fromIter(values(self), compare)\n };\n\n /// Convert an immutable, purely functional set to a mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import PureSet \"mo:core/pure/Set\";\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let pureSet = PureSet.fromIter([3, 1, 2].values(), Nat.compare);\n /// let set = Set.fromPure(pureSet, Nat.compare);\n /// assert Iter.toArray(Set.values(set)) == Iter.toArray(PureSet.values(pureSet));\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func fromPure(set : PureSet.Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(PureSet.values(set), compare)\n };\n\n public func fromArray(array : [T], compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(array.values(), compare)\n };\n\n /// Create a copy of the mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let originalSet = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let clonedSet = Set.clone(originalSet);\n /// Set.add(originalSet, Nat.compare, 4);\n /// assert Set.size(clonedSet) == 3;\n /// assert Set.size(originalSet) == 4;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set.\n public func clone(self : Set) : Set {\n {\n var root = cloneNode(self.root);\n var size = self.size\n }\n };\n\n /// Create a new empty mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.size(set) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Set {\n {\n var root = #leaf({\n data = {\n elements = VarArray.repeat(null, btreeOrder - 1);\n var count = 0\n }\n });\n var size = 0\n }\n };\n\n /// Create a new mutable set with a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n ///\n /// persistent actor {\n /// let cities = Set.singleton(\"Zurich\");\n /// assert Set.size(cities) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(element : T) : Set {\n let elements = VarArray.repeat(null, btreeOrder - 1);\n elements[0] := ?element;\n {\n var root =\n #leaf({ data = { elements; var count = 1 } });\n var size = 1\n }\n };\n\n /// Remove all the elements from the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let cities = Set.empty();\n /// Set.add(cities, Text.compare, \"Zurich\");\n /// Set.add(cities, Text.compare, \"San Francisco\");\n /// Set.add(cities, Text.compare, \"London\");\n /// assert Set.size(cities) == 3;\n ///\n /// Set.clear(cities);\n /// assert Set.size(cities) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func clear(self : Set) {\n let emptySet = empty();\n self.root := emptySet.root;\n self.size := 0\n };\n\n /// Determines whether a set is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n ///\n /// assert not Set.isEmpty(set);\n /// Set.clear(set);\n /// assert Set.isEmpty(set);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Set) : Bool {\n self.size == 0\n };\n\n /// Return the number of elements in a set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n ///\n /// assert Set.size(set) == 3;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func size(self : Set) : Nat {\n self.size\n };\n\n /// Test whether two imperative sets are equal.\n /// Both sets have to be constructed by the same comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1].values(), Nat.compare);\n /// let set3 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// assert Set.equal(set1, set2, Nat.compare);\n /// assert not Set.equal(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func equal(self : Set, other : Set, compare : (implicit : (T, T) -> Types.Order)) : Bool {\n if (self.size != other.size) return false;\n // TODO: optimize\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n let next1 = iterator1.next();\n let next2 = iterator2.next();\n switch (next1, next2) {\n case (null, null) {\n return true\n };\n case (?element1, ?element2) {\n if (not (compare(element1, element2) == #equal)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Tests whether the set contains the provided element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n ///\n /// assert Set.contains(set, Nat.compare, 1);\n /// assert not Set.contains(set, Nat.compare, 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func contains(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool {\n switch (self.root) {\n case (#internal(internalNode)) {\n containsInInternal(internalNode, compare, element)\n };\n case (#leaf(leafNode)) { containsInLeaf(leafNode, compare, element) }\n }\n };\n\n /// Add a new element to a set.\n /// No effect if the element already exists in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// assert Iter.toArray(Set.values(set)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func add(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) {\n ignore insert(self, compare, element)\n };\n\n /// Insert a new element in the set.\n /// Returns true if the element is new, false if the element was already contained in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.insert(set, Nat.compare, 2);\n /// assert Set.insert(set, Nat.compare, 1);\n /// assert not Set.insert(set, Nat.compare, 2);\n /// assert Iter.toArray(Set.values(set)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func insert(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool {\n let insertResult = switch (self.root) {\n case (#leaf(leafNode)) {\n leafInsertHelper(leafNode, btreeOrder, compare, element)\n };\n case (#internal(internalNode)) {\n internalInsertHelper(internalNode, btreeOrder, compare, element)\n }\n };\n\n switch (insertResult) {\n case (#inserted) {\n // if inserted an element that was not previously there, increment the tree size counter\n self.size += 1;\n true\n };\n case (#existent) {\n // keep size\n false\n };\n case (#promote({ element = promotedElement; leftChild; rightChild })) {\n let elements = VarArray.repeat(null, btreeOrder - 1);\n elements[0] := ?promotedElement;\n let children = VarArray.repeat>(null, btreeOrder);\n children[0] := ?leftChild;\n children[1] := ?rightChild;\n self.root := #internal({\n data = { elements; var count = 1 };\n children\n });\n // promotion always comes from inserting a new element, so increment the tree size counter\n self.size += 1;\n true\n }\n }\n };\n\n /// Deletes an element from a set.\n /// No effect if the element is not contained in the set.\n ///\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n ///\n /// Set.remove(set, Nat.compare, 2);\n /// assert not Set.contains(set, Nat.compare, 2);\n ///\n /// Set.remove(set, Nat.compare, 4);\n /// assert not Set.contains(set, Nat.compare, 4);\n ///\n /// assert Iter.toArray(Set.values(set)) == [1, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n public func remove(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : () {\n ignore delete(self, compare, element)\n };\n\n /// Deletes an element from a set.\n /// Returns true if the element was contained in the set, false if not.\n ///\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n ///\n /// assert Set.delete(set, Nat.compare, 2);\n /// assert not Set.contains(set, Nat.compare, 2);\n ///\n /// assert not Set.delete(set, Nat.compare, 4);\n /// assert not Set.contains(set, Nat.compare, 4);\n /// assert Iter.toArray(Set.values(set)) == [1, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// @deprecated M0235\n public func delete(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool {\n let deleted = switch (self.root) {\n case (#leaf(leafNode)) {\n // TODO: think about how this can be optimized so don't have to do two steps (search and then insert)?\n switch (NodeUtil.getElementIndex(leafNode.data, compare, element)) {\n case (#elementFound(deleteIndex)) {\n leafNode.data.count -= 1;\n ignore BTreeHelper.deleteAndShift(leafNode.data.elements, deleteIndex);\n self.size -= 1;\n true\n };\n case _ { false }\n }\n };\n case (#internal(internalNode)) {\n let deletedElement = switch (internalDeleteHelper(internalNode, btreeOrder, compare, element, false)) {\n case (#deleted) { true };\n case (#inexistent) { false };\n case (#mergeChild({ internalChild })) {\n if (internalChild.data.count > 0) {\n self.root := #internal(internalChild)\n }\n // This case will be hit if the BTree has order == 4\n // In this case, the internalChild has no element (last element was merged with new child), so need to promote that merged child (its only child)\n else {\n self.root := switch (internalChild.children[0]) {\n case (?node) { node };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.delete(), element deletion failed, due to a null replacement node error\")\n }\n }\n };\n true\n }\n };\n if (deletedElement) {\n // if deleted an element from the BTree, decrement the size\n self.size -= 1\n };\n deletedElement\n }\n };\n deleted\n };\n\n /// Retrieves the maximum element from the set.\n /// If the set is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.max(set) == null;\n /// Set.add(set, Nat.compare, 3);\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// assert Set.max(set) == ?3;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func max(self : Set) : ?T {\n reverseValues(self).next()\n };\n\n /// Retrieves the minimum element from the set.\n /// If the set is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.min(set) == null;\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n /// assert Set.min(set) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func min(self : Set) : ?T {\n values(self).next()\n };\n\n public func toArray(self : Set) : [T] {\n Iter.toArray(values(self))\n };\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// for (number in Set.values(set)) {\n /// tmp #= \" \" # Nat.toText(number);\n /// };\n /// assert tmp == \" 0 1 2 3\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func values(self : Set) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) { return leafElements(leafNode) };\n case (#internal(internalNode)) { internalElements(internalNode) }\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// starting from a given element in ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1].values(), Nat.compare);\n /// assert Iter.toArray(Set.valuesFrom(set, Nat.compare, 1)) == [1, 3];\n /// assert Iter.toArray(Set.valuesFrom(set, Nat.compare, 2)) == [3];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func valuesFrom(\n self : Set,\n compare : (implicit : (T, T) -> Order.Order),\n element : T\n ) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) leafElementsFrom(leafNode, compare, element);\n case (#internal(internalNode)) internalElementsFrom(internalNode, compare, element)\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// for (number in Set.reverseValues(set)) {\n /// tmp #= \" \" # Nat.toText(number);\n /// };\n /// assert tmp == \" 3 2 1 0\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseValues(self : Set) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) { return reverseLeafElements(leafNode) };\n case (#internal(internalNode)) { reverseInternalElements(internalNode) }\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// starting from a given element in descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 1, 3].values(), Nat.compare);\n /// assert Iter.toArray(Set.reverseValuesFrom(set, Nat.compare, 0)) == [0];\n /// assert Iter.toArray(Set.reverseValuesFrom(set, Nat.compare, 2)) == [1, 0];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseValuesFrom(\n self : Set,\n compare : (implicit : (T, T) -> Order.Order),\n element : T\n ) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) reverseLeafElementsFrom(leafNode, compare, element);\n case (#internal(internalNode)) reverseInternalElementsFrom(internalNode, compare, element)\n }\n };\n\n /// Create a mutable set with the elements obtained from an iterator.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrence of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2, 1].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func fromIter(iter : Types.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let set = empty();\n for (element in iter) {\n add(set, compare, element)\n };\n set\n };\n\n /// Convert an iterator of elements to a mutable set.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrence of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter = [3, 1, 2, 1].values();\n ///\n /// let set = iter.toSet(Nat.compare);\n ///\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func toSet(self : Types.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(self, compare)\n };\n\n /// Test whether `set1` is a sub-set of `set2`, i.e. each element in `set1` is\n /// also contained in `set2`. Returns `true` if both sets are equal.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// let set3 = Set.fromIter([3, 4].values(), Nat.compare);\n /// assert Set.isSubset(set1, set2, Nat.compare);\n /// assert not Set.isSubset(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func isSubset(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Bool {\n if (self.size > other.size) { return false };\n // TODO: optimize\n for (element in values(self)) {\n if (not contains(other, compare, element)) {\n return false\n }\n };\n true\n };\n\n /// Returns a new set that is the union of `set1` and `set2`,\n /// i.e. a new set that all the elements that exist in at least on of the two sets.\n /// Potential duplicates are ignored, i.e. if the same element occurs in both `set1`\n /// and `set2`, it only occurs once in the returned set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let union = Set.union(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(union)) == [1, 2, 3, 4, 5];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func union(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = clone(self);\n for (element in values(other)) {\n if (not contains(result, compare, element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Returns a new set that is the intersection of `set1` and `set2`,\n /// i.e. a new set that contains all the elements that exist in both sets.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let intersection = Set.intersection(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(intersection)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func intersection(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (element in values(self)) {\n if (contains(other, compare, element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Returns a new set that is the difference between `set1` and `set2` (`set1` minus `set2`),\n /// i.e. a new set that contains all the elements of `set1` that do not exist in `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let difference = Set.difference(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(difference)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func difference(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (element in values(self)) {\n if (not contains(other, compare, element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Adds all elements from `iter` to the specified `set`.\n /// This is equivalent to `Set.union()` but modifies the set in place.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// Set.addAll(set, Nat.compare, [3, 4, 5].values());\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3, 4, 5];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in `set` and `iter`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func addAll(self : Set, compare : (implicit : (T, T) -> Order.Order), iter : Types.Iter) {\n for (element in iter) {\n add(self, compare, element)\n }\n };\n\n /// Deletes all values in `iter` from the specified `set`.\n /// Returns `true` if any value was present in the set, otherwise false.\n /// The return value indicates whether the size of the set has changed.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// assert Set.deleteAll(set, Nat.compare, [0, 2].values());\n /// assert Iter.toArray(Set.values(set)) == [1];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in `set` and `iter`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func deleteAll(self : Set, compare : (implicit : (T, T) -> Order.Order), iter : Types.Iter) : Bool {\n var deleted = false;\n for (element in iter) {\n deleted := delete(self, compare, element) or deleted // order matters!\n };\n deleted\n };\n\n /// Inserts all values in `iter` into `set`.\n /// Returns true if any value was not contained in the original set, otherwise false.\n /// The return value indicates whether the size of the set has changed.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// assert Set.insertAll(set, Nat.compare, [0, 2, 3].values());\n /// assert Iter.toArray(Set.values(set)) == [0, 1, 2, 3];\n /// assert not Set.insertAll(set, Nat.compare, [0, 1, 2].values()); // no change\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in `set` and `iter`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func insertAll(self : Set, compare : (implicit : (T, T) -> Order.Order), iter : Types.Iter) : Bool {\n var inserted = false;\n for (element in iter) {\n inserted := insert(self, compare, element) or inserted // order matters!\n };\n inserted\n };\n\n /// Removes all values in `set` that do not satisfy the given predicate.\n /// Returns `true` if and only if the size of the set has changed.\n /// Modifies the set in place.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// let sizeChanged = Set.retainAll(set, Nat.compare, func n { n % 2 == 0 });\n /// assert Iter.toArray(Set.values(set)) == [2];\n /// assert sizeChanged;\n /// }\n /// ```\n public func retainAll(self : Set, compare : (implicit : (T, T) -> Order.Order), predicate : T -> Bool) : Bool {\n let array = Array.fromIter(values(self));\n deleteAll(\n self,\n compare,\n Iter.filter(array.vals(), func(element : T) : Bool = not predicate(element))\n )\n };\n\n /// Apply an operation on each element contained in the set.\n /// The operation is applied in ascending order of the elements.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// Set.forEach(numbers, func (element) {\n /// tmp #= \" \" # Nat.toText(element)\n /// });\n /// assert tmp == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func forEach(self : Set, operation : T -> ()) {\n for (element in values(self)) {\n operation(element)\n }\n };\n\n /// Filter elements in a new set.\n /// Create a copy of the mutable set that only contains the elements\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let evenNumbers = Set.filter(numbers, Nat.compare, func (number) {\n /// number % 2 == 0\n /// });\n /// assert Iter.toArray(Set.values(evenNumbers)) == [0, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Set, compare : (implicit : (T, T) -> Order.Order), criterion : T -> Bool) : Set {\n let result = empty();\n for (element in values(self)) {\n if (criterion(element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Project all elements of the set in a new set.\n /// Apply a mapping function to each element in the set and\n /// collect the mapped elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// let textNumbers =\n /// Set.map(numbers, Text.compare, Nat.toText);\n /// assert Iter.toArray(Set.values(textNumbers)) == [\"1\", \"2\", \"3\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func map(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> T2) : Set {\n let result = empty();\n for (element1 in values(self)) {\n let element2 = project(element1);\n add(result, compare, element2)\n };\n result\n };\n\n /// Filter all elements in the set by also applying a projection to the elements.\n /// Apply a mapping function `project` to all elements in the set and collect all\n /// elements, for which the function returns a non-null new element. Collect all\n /// non-discarded new elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 0, 2, 1].values(), Nat.compare);\n ///\n /// let evenTextNumbers = Set.filterMap(numbers, Text.compare, func (number) {\n /// if (number % 2 == 0) {\n /// ?Nat.toText(number)\n /// } else {\n /// null // discard odd numbers\n /// }\n /// });\n /// assert Iter.toArray(Set.values(evenTextNumbers)) == [\"0\", \"2\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> ?T2) : Set {\n let result = empty();\n for (element1 in values(self)) {\n switch (project(element1)) {\n case null {};\n case (?element2) add(result, compare, element2)\n }\n };\n result\n };\n\n /// Iterate all elements in ascending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldLeft(\n /// set,\n /// \"\",\n /// func (accumulator, element) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldLeft(\n self : Set,\n base : A,\n combine : (A, T) -> A\n ) : A {\n var accumulator = base;\n for (element in values(self)) {\n accumulator := combine(accumulator, element)\n };\n accumulator\n };\n\n /// Iterate all elements in descending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldRight(\n /// set,\n /// \"\",\n /// func (element, accumulator) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 3 2 1 0\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldRight(\n self : Set,\n base : A,\n combine : (T, A) -> A\n ) : A {\n var accumulator = base;\n for (element in reverseValues(self)) {\n accumulator := combine(element, accumulator)\n };\n accumulator\n };\n\n /// Construct the union of a series of sets, i.e. all elements of\n /// each set are included in the result set.\n /// Any duplicates are ignored, i.e. if an element occurs\n /// in several of the iterated sets, it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let combined = Set.join([set1, set2, set3].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(combined)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the iterated sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func join(setIterator : Types.Iter>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (set in setIterator) {\n for (element in values(set)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Construct the union of a set of element sets, i.e. all elements of\n /// each element set are included in the result set.\n /// Any duplicates are ignored, i.e. if the same element occurs in multiple element sets,\n /// it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Order \"mo:core/Order\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// func setCompare(first: Set.Set, second: Set.Set) : Order.Order {\n /// Set.compare(first, second, Nat.compare)\n /// };\n ///\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let setOfSets = Set.fromIter([set1, set2, set3].values(), setCompare);\n /// let flatSet = Set.flatten(setOfSets, Nat.compare);\n /// assert Iter.toArray(Set.values(flatSet)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in all the sub-sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func flatten(self : Set>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (subSet in values(self)) {\n for (element in values(subSet)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Check whether all elements in the set satisfy a predicate, i.e.\n /// the `predicate` function returns `true` for all elements in the set.\n /// Returns `true` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let belowTen = Set.all(set, func (number) {\n /// number < 10\n /// });\n /// assert belowTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func all(self : Set, predicate : T -> Bool) : Bool {\n // TODO optimize, avoiding iterator\n for (element in values(self)) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Check whether at least one element in the set satisfies a predicate, i.e.\n /// the `predicate` function returns `true` for at least one element in the set.\n /// Returns `false` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let aboveTen = Set.any(set, func (number) {\n /// number > 10\n /// });\n /// assert not aboveTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func any(self : Set, predicate : T -> Bool) : Bool {\n // TODO optimize, avoiding iterator\n for (element in values(self)) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Internal sanity check function.\n /// Can be used to check that elements have been inserted with a consistent comparison function.\n /// Traps if the internal set structure is invalid.\n /// @deprecated M0235\n public func assertValid(self : Set, compare : (implicit : (T, T) -> Order.Order)) {\n func checkIteration(iterator : Types.Iter, order : Order.Order) {\n switch (iterator.next()) {\n case null {};\n case (?first) {\n var previous = first;\n loop {\n switch (iterator.next()) {\n case null return;\n case (?next) {\n if (compare(previous, next) != order) {\n Runtime.trap(\"Invalid order\")\n };\n previous := next\n }\n }\n }\n }\n }\n };\n checkIteration(values(self), #less);\n checkIteration(reverseValues(self), #greater)\n };\n\n /// Generate a textual representation of all the elements in the set.\n /// Primarily to be used for testing and debugging.\n /// The elements are formatted according to `elementFormat`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// assert Set.toText(set, Nat.toText) == \"Set{0, 1, 2, 3}\"\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `elementFormat` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func toText(self : Set, toText : (implicit : T -> Text)) : Text {\n var text = \"Set{\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # toText(element);\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Compare two sets by comparing the elements.\n /// Both sets must have been created by the same comparison function.\n /// The two sets are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `set1` is less than `set2` if:\n /// * the pairwise iteration hits an element pair `element1` and `element2` where\n /// `element1` is less than `element2` and all preceding elements are equal, or,\n /// * `set1` is a strict prefix of `set2`, i.e. `set2` has more elements than `set1`\n /// and all elements of `set1` occur at the beginning of iteration `set2`.\n /// Equal:\n /// `set1` and `set2` have same series of equal elements by pairwise iteration.\n /// Greater:\n /// `set1` is neither less nor equal `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1].values(), Nat.compare);\n /// let set2 = Set.fromIter([0, 2].values(), Nat.compare);\n ///\n /// assert Set.compare(set1, set2, Nat.compare) == #less;\n /// assert Set.compare(set1, set1, Nat.compare) == #equal;\n /// assert Set.compare(set2, set1, Nat.compare) == #greater;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `compare` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n };\n\n func leafElements({ data } : Leaf) : Types.Iter {\n var i : Nat = 0;\n object {\n public func next() : ?T {\n if (i >= data.count) {\n null\n } else {\n let res = data.elements[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func leafElementsFrom({ data } : Leaf, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n var i = switch (BinarySearch.binarySearchNode(data.elements, compare, element, data.count)) {\n case (#elementFound(i)) i;\n case (#notFound(i)) i\n };\n object {\n public func next() : ?T {\n if (i >= data.count) {\n null\n } else {\n let res = data.elements[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func reverseLeafElements({ data } : Leaf) : Types.Iter {\n var i : Nat = data.count;\n object {\n public func next() : ?T {\n if (i == 0) {\n null\n } else {\n let res = data.elements[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n func reverseLeafElementsFrom({ data } : Leaf, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n var i = switch (BinarySearch.binarySearchNode(data.elements, compare, element, data.count)) {\n case (#elementFound(i)) i + 1; // +1 to include this element\n case (#notFound(i)) i // i is the index of the first element greater than the search element, or count if all elements are less than the search element\n };\n object {\n public func next() : ?T {\n if (i == 0) {\n null\n } else {\n let res = data.elements[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n // Cursor type that keeps track of the current node and the current element index in the node\n type NodeCursor = { node : Node; elementIndex : Nat };\n\n func internalElements(internal : Internal) : Types.Iter {\n // The nodeCursorStack keeps track of the current node and the current element index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeForwardNodeCursorStack(internal);\n internalElementsFromStack(nodeCursorStack)\n };\n\n func internalElementsFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n let nodeCursorStack = initializeForwardNodeCursorStackFrom(internal, compare, element);\n internalElementsFromStack(nodeCursorStack)\n };\n\n func internalElementsFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter {\n object {\n public func next() : ?T {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; elementIndex }) {\n switch (node) {\n // if a leaf node, iterate through the leaf node's next element\n case (#leaf(leafNode)) {\n let lastIndex = leafNode.data.count - 1 : Nat;\n if (elementIndex > lastIndex) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), leaf elementIndex out of bounds\")\n };\n\n let currentElement = switch (leafNode.data.elements[elementIndex]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), null element found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n // if not at the last element, push the next element index of the leaf onto the stack and return the current element\n if (elementIndex < lastIndex) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n elementIndex = elementIndex + 1 : Nat\n }\n )\n };\n\n ?currentElement\n };\n // if an internal node\n case (#internal(internalNode)) {\n let lastIndex = internalNode.data.count - 1 : Nat;\n // Developer facing message in case of a bug\n if (elementIndex > lastIndex) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), internal elementIndex out of bounds\")\n };\n\n let currentElement = switch (internalNode.data.elements[elementIndex]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), null element found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n\n let nextCursor = {\n node = #internal(internalNode);\n elementIndex = elementIndex + 1 : Nat\n };\n // if not the last element, push the next element of the internal node onto the stack\n if (elementIndex < lastIndex) {\n Stack.push(nodeCursorStack, nextCursor)\n };\n // traverse the next child's min subtree and push the resulting node cursors onto the stack\n // then return the current element of the internal node\n traverseMinSubtreeIter(nodeCursorStack, nextCursor);\n ?currentElement\n }\n }\n }\n }\n }\n }\n };\n\n func reverseInternalElements(internal : Internal) : Types.Iter {\n // The nodeCursorStack keeps track of the current node and the current element index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeReverseNodeCursorStack(internal);\n reverseInternalElementsFromStack(nodeCursorStack)\n };\n\n func reverseInternalElementsFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n let nodeCursorStack = initializeReverseNodeCursorStackFrom(internal, compare, element);\n reverseInternalElementsFromStack(nodeCursorStack)\n };\n\n func reverseInternalElementsFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter {\n object {\n public func next() : ?T {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; elementIndex }) {\n let firstIndex = 0 : Nat;\n assert (elementIndex > firstIndex);\n switch (node) {\n // if a leaf node, reverse iterate through the leaf node's next element\n case (#leaf(leafNode)) {\n let currentElement = switch (leafNode.data.elements[elementIndex - 1]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.reverseInternalElements(), null element found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n // if not at the last element, push the previous element index of the leaf onto the stack and return the current element\n if (elementIndex - 1 : Nat > firstIndex) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n elementIndex = elementIndex - 1 : Nat\n }\n )\n };\n\n // return the current element\n ?currentElement\n };\n // if an internal node\n case (#internal(internalNode)) {\n let currentElement = switch (internalNode.data.elements[elementIndex - 1]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.reverseInternalElements(), null element found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n\n let previousCursor = {\n node = #internal(internalNode);\n elementIndex = elementIndex - 1 : Nat\n };\n // if not the first element, push the previous element index of the internal node onto the stack\n if (elementIndex - 1 : Nat > firstIndex) {\n Stack.push(nodeCursorStack, previousCursor)\n };\n // traverse the previous child's max subtree and push the resulting node cursors onto the stack\n // then return the current element of the internal node\n traverseMaxSubtreeIter(nodeCursorStack, previousCursor);\n ?currentElement\n }\n }\n }\n }\n }\n }\n };\n\n func initializeForwardNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = 0\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMinSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeForwardNodeCursorStackFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = 0\n };\n\n traverseMinSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, element);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = internal.data.count\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMaxSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStackFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = internal.data.count\n };\n\n traverseMaxSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, element);\n nodeCursorStack\n };\n\n // traverse the min subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMinSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.elementIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the minimum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's left most child to the stack and continue traversing\n case (#internal(internalNode)) {\n switch (internalNode.children[childIndex]) {\n // Push the next min (left most) child node to the stack\n case (?childNode) {\n childIndex := 0;\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMinSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMinSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (T, T) -> Order.Order, element : T) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getElementIndex(node.data, compare, element)) {\n case (#elementFound(i)) (i, true);\n case (#notFound(i)) (i, false)\n };\n if (i < node.data.count) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = i // greater elements to traverse\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMinSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // traverse the max subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMaxSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.elementIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the maximum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's right most child to the stack and continue traversing\n case (#internal(internalNode)) {\n assert (childIndex <= internalNode.data.count); // children are one more than data elements\n switch (internalNode.children[childIndex]) {\n // Push the next max (right most) child node to the stack\n case (?childNode) {\n childIndex := switch (childNode) {\n case (#internal(internalNode)) internalNode.data.count;\n case (#leaf(leafNode)) leafNode.data.count\n };\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMaxSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMaxSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (T, T) -> Order.Order, element : T) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getElementIndex(node.data, compare, element)) {\n case (#elementFound(i)) (i + 1, true); // +1 to include this element\n case (#notFound(i)) (i, false) // i is the index of the first element less than the search element, or 0 if all elements are greater than the search element\n };\n if (i > 0) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = i\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMaxSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInternalDeleteResult = {\n // element was deleted\n #deleted;\n // element was absent\n #inexistent;\n // deleted an element, but was unable to successfully borrow and rebalance at the previous level without merging children\n // the internalChild is the merged child that needs to be rebalanced at the next level up in the BTree\n #mergeChild : {\n internalChild : Internal\n }\n };\n\n func internalDeleteHelper(internalNode : Internal, order : Nat, compare : (T, T) -> Order.Order, deleteElement : T, skipNode : Bool) : IntermediateInternalDeleteResult {\n let minElements = NodeUtil.minElementsFromOrder(order);\n let elementIndex = NodeUtil.getElementIndex(internalNode.data, compare, deleteElement);\n\n // match on both the result of the node binary search, and if this node level should be skipped even if the element is found (internal element replacement case)\n switch (elementIndex, skipNode) {\n // if element is found in the internal node\n case (#elementFound(deleteIndex), false) {\n if (Option.isNull(internalNode.data.elements[deleteIndex])) {\n Runtime.trap(\"Bug in Set.internalDeleteHelper\")\n };\n // TODO: (optimization) replace with deletion in one step without having to retrieve the max element first\n let replaceElement = NodeUtil.getMaxElement(internalNode.children[deleteIndex]);\n internalNode.data.elements[deleteIndex] := ?replaceElement;\n switch (internalDeleteHelper(internalNode, order, compare, replaceElement, true)) {\n case (#deleted) { #deleted };\n case (#inexistent) { #inexistent };\n case (#mergeChild({ internalChild })) {\n #mergeChild({ internalChild })\n }\n }\n };\n // if element is not found in the internal node OR the element is found, but skipping this node (because deleting the in order precessor i.e. replacement element)\n // in both cases need to descend and traverse to find the element to delete\n case ((#elementFound(_), true) or (#notFound(_), _)) {\n let childIndex = switch (elementIndex) {\n case (#elementFound(replacedSkipElementIndex)) {\n replacedSkipElementIndex\n };\n case (#notFound(childIndex)) { childIndex }\n };\n let child = switch (internalNode.children[childIndex]) {\n case (?c) { c };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalDeleteHelper, child index of #elementFound or #notfound is null\")\n }\n };\n switch (child) {\n // if child is internal\n case (#internal(internalChild)) {\n switch (internalDeleteHelper(internalChild, order, compare, deleteElement, false), childIndex == 0) {\n // if element was successfully deleted and no additional tree re-balancing is needed, return #deleted\n case (#deleted, _) { #deleted };\n case (#inexistent, _) { #inexistent };\n // if internalChild needs rebalancing and pulling child is left most\n case (#mergeChild({ internalChild }), true) {\n // try to pull left-most element and child from right sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex + 1, #successor)) {\n // if can pull up sibling element and child\n case (#borrowed({ deletedSiblingElement; child })) {\n NodeUtil.rotateBorrowedElementsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingElement,\n child,\n internalChild,\n #right\n );\n #deleted\n };\n // unable to pull from sibling, need to merge with right sibling and push down parent\n case (#notEnoughElements(sibling)) {\n // get the parent element that will be pushed down the the child\n let elementsToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.elements, 0);\n internalNode.data.count -= 1;\n // merge the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(internalChild, elementsToBePushedToChild, sibling);\n // update children of the parent\n internalNode.children[0] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, 1);\n\n if (internalNode.data.count < minElements) {\n #mergeChild({ internalChild = internalNode })\n } else {\n #deleted\n }\n }\n }\n };\n // if internalChild needs rebalancing and pulling child is > 0, so a left sibling exists\n case (#mergeChild({ internalChild }), false) {\n // try to pull right-most element and its child directly from left sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex - 1 : Nat, #predecessor)) {\n case (#borrowed({ deletedSiblingElement; child })) {\n NodeUtil.rotateBorrowedElementsAndChildFromSibling(\n internalNode,\n childIndex - 1 : Nat,\n deletedSiblingElement,\n child,\n internalChild,\n #left\n );\n #deleted\n };\n // unable to pull from left sibling\n case (#notEnoughElements(leftSibling)) {\n // if child is not last index, try to pull from the right child\n if (childIndex < internalNode.data.count) {\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex, #successor)) {\n // if can pull up sibling element and child\n case (#borrowed({ deletedSiblingElement; child })) {\n NodeUtil.rotateBorrowedElementsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingElement,\n child,\n internalChild,\n #right\n );\n return #deleted\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // get the parent element that will be pushed down the the child\n let elementToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.elements, childIndex - 1 : Nat);\n internalNode.data.count -= 1;\n // merge it the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(leftSibling, elementToBePushedToChild, internalChild);\n\n // update children of the parent\n internalNode.children[childIndex - 1] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, childIndex);\n\n if (internalNode.data.count < minElements) {\n #mergeChild({ internalChild = internalNode })\n } else {\n #deleted\n }\n }\n }\n }\n }\n };\n // if child is leaf\n case (#leaf(leafChild)) {\n switch (leafDeleteHelper(leafChild, order, compare, deleteElement), childIndex == 0) {\n case (#deleted, _) { #deleted };\n case (#inexistent, _) { #inexistent };\n // if delete child is left most, try to borrow from right child\n case (#mergeLeafData({ leafDeleteIndex }), true) {\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedElement) {\n let elementToBePushedToChild = internalNode.data.elements[childIndex];\n internalNode.data.elements[childIndex] := ?borrowedElement;\n\n ignore BTreeHelper.insertAtPostionAndDeleteAtPosition(leafChild.data.elements, elementToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n #deleted\n };\n\n case null {\n // can't borrow from right child, delete from leaf and merge with right child and parent element, then push down into new leaf\n let rightChild = switch (internalNode.children[childIndex + 1]) {\n case (?#leaf(rc)) { rc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalDeleteHelper, if trying to borrow from right leaf child is null, rightChild index cannot be null or internal\")\n }\n };\n let mergedLeaf = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.elements[childIndex],\n leafChild,\n rightChild,\n leafDeleteIndex,\n #left\n );\n // delete the left most internal node element, since was merging from a deletion in left most child (0) and the parent element was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift(internalNode.data.elements, 0);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), 0);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minElements) {\n #mergeChild({\n internalChild = internalNode\n })\n } else {\n #deleted\n }\n\n }\n }\n };\n // if delete child is middle or right most, try to borrow from left child\n case (#mergeLeafData({ leafDeleteIndex }), false) {\n // if delete child is right most, try to borrow from left child\n switch (NodeUtil.borrowFromLeftLeafChild(internalNode.children, childIndex)) {\n case (?borrowedElement) {\n let elementToBePushedToChild = internalNode.data.elements[childIndex - 1];\n internalNode.data.elements[childIndex - 1] := ?borrowedElement;\n ignore BTreeHelper.insertAtPostionAndDeleteAtPosition(leafChild.data.elements, elementToBePushedToChild, 0, leafDeleteIndex);\n #deleted\n };\n case null {\n // if delete child is in the middle, try to borrow from right child\n if (childIndex < internalNode.data.count) {\n // try to borrow from right\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedElement) {\n let elementToBePushedToChild = internalNode.data.elements[childIndex];\n internalNode.data.elements[childIndex] := ?borrowedElement;\n // insert the successor at the very last element\n ignore BTreeHelper.insertAtPostionAndDeleteAtPosition(leafChild.data.elements, elementToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n return #deleted\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // can't borrow from left child, delete from leaf and merge with left child and parent element, then push down into new leaf\n let leftChild = switch (internalNode.children[childIndex - 1]) {\n case (?#leaf(lc)) { lc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalDeleteHelper, if trying to borrow from left leaf child is null, then left child index must not be null or internal\")\n }\n };\n let mergedLeaf = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.elements[childIndex - 1],\n leftChild,\n leafChild,\n leafDeleteIndex,\n #right\n );\n // delete the right most internal node element, since was merging from a deletion in the right most child and the parent element was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift(internalNode.data.elements, childIndex - 1);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), childIndex - 1);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minElements) {\n #mergeChild({\n internalChild = internalNode\n })\n } else {\n #deleted\n }\n }\n }\n }\n }\n }\n }\n }\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateLeafDeleteResult = {\n // element was deleted\n #deleted;\n // element was absent\n #inexistent;\n // leaf had the minimum number of elements when deleting, so returns the leaf node's data and the index of the element that will be deleted\n #mergeLeafData : {\n data : Data;\n leafDeleteIndex : Nat\n }\n };\n\n func leafDeleteHelper(leafNode : Leaf, order : Nat, compare : (T, T) -> Order.Order, deleteElement : T) : IntermediateLeafDeleteResult {\n let minElements = NodeUtil.minElementsFromOrder(order);\n\n switch (NodeUtil.getElementIndex(leafNode.data, compare, deleteElement)) {\n case (#elementFound(deleteIndex)) {\n if (leafNode.data.count > minElements) {\n leafNode.data.count -= 1;\n ignore BTreeHelper.deleteAndShift(leafNode.data.elements, deleteIndex);\n #deleted\n } else {\n #mergeLeafData({\n data = leafNode.data;\n leafDeleteIndex = deleteIndex\n })\n }\n };\n case (#notFound(_)) {\n #inexistent\n }\n }\n };\n\n func containsInInternal(internalNode : Internal, compare : (T, T) -> Order.Order, element : T) : Bool {\n switch (NodeUtil.getElementIndex(internalNode.data, compare, element)) {\n case (#elementFound _index) {\n true\n };\n case (#notFound(index)) {\n switch (internalNode.children[index]) {\n // expects the child to be there, otherwise there's a bug in binary search or the tree is invalid\n case null { Runtime.trap(\"Internal bug: Set.containsInInternal\") };\n case (?#leaf(leafNode)) { containsInLeaf(leafNode, compare, element) };\n case (?#internal(internalNode)) {\n containsInInternal(internalNode, compare, element)\n }\n }\n }\n }\n };\n\n func containsInLeaf(leafNode : Leaf, compare : (T, T) -> Order.Order, element : T) : Bool {\n switch (NodeUtil.getElementIndex(leafNode.data, compare, element)) {\n case (#elementFound(_index)) {\n true\n };\n case _ false\n }\n };\n\n type DeletionSide = { #left; #right };\n\n func mergeParentWithLeftRightChildLeafNodesAndDelete(\n parentElement : ?T,\n leftChild : Leaf,\n rightChild : Leaf,\n deleteIndex : Nat,\n deletionSide : DeletionSide\n ) : Leaf {\n let count = leftChild.data.count * 2;\n let (elements, _) = BTreeHelper.mergeParentWithChildrenAndDelete(\n parentElement,\n leftChild.data.count,\n leftChild.data.elements,\n rightChild.data.elements,\n deleteIndex,\n deletionSide\n );\n ({\n data = {\n elements;\n var count = count\n }\n })\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInsertResult = {\n // element was inserted\n #inserted;\n // element was alreay present\n #existent;\n // child was full when inserting, so returns the promoted element and the split left and right child\n #promote : {\n element : T;\n leftChild : Node;\n rightChild : Node\n }\n };\n\n // Helper for inserting into a leaf node\n func leafInsertHelper(leafNode : Leaf, order : Nat, compare : (T, T) -> Order.Order, insertedElement : T) : (IntermediateInsertResult) {\n // Perform binary search to see if the element exists in the node\n switch (NodeUtil.getElementIndex(leafNode.data, compare, insertedElement)) {\n case (#elementFound(insertIndex)) {\n let previous = leafNode.data.elements[insertIndex];\n leafNode.data.elements[insertIndex] := ?insertedElement;\n switch (previous) {\n case (?_) { #existent };\n case null { Runtime.trap(\"Bug in Set.leafInsertHelper\") }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxElements : Nat = order - 1;\n // If the leaf is full, insert, split the node, and promote the middle element\n if (leafNode.data.count >= maxElements) {\n let (leftElements, promotedParentElement, rightElements) = BTreeHelper.insertOneAtIndexAndSplitArray(\n leafNode.data.elements,\n insertedElement,\n insertIndex\n );\n\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n (\n #promote({\n element = promotedParentElement;\n leftChild = createLeaf(leftElements, leftCount);\n rightChild = createLeaf(rightElements, rightCount)\n })\n )\n }\n // Otherwise, insert at the specified index (shifting elements over if necessary)\n else {\n NodeUtil.insertAtIndexOfNonFullNodeData(leafNode.data, ?insertedElement, insertIndex);\n #inserted\n }\n }\n }\n };\n\n // Helper for inserting into an internal node\n func internalInsertHelper(internalNode : Internal, order : Nat, compare : (T, T) -> Order.Order, insertElement : T) : IntermediateInsertResult {\n switch (NodeUtil.getElementIndex(internalNode.data, compare, insertElement)) {\n case (#elementFound(insertIndex)) {\n let previous = internalNode.data.elements[insertIndex];\n internalNode.data.elements[insertIndex] := ?insertElement;\n switch (previous) {\n case (?_) { #existent };\n case null {\n Runtime.trap(\"Bug in Set.internalInsertHelper, element found\")\n }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n let insertResult = switch (internalNode.children[insertIndex]) {\n case null {\n Runtime.trap(\"Bug in Set.internalInsertHelper, not found\")\n };\n case (?#leaf(leafNode)) {\n leafInsertHelper(leafNode, order, compare, insertElement)\n };\n case (?#internal(internalChildNode)) {\n internalInsertHelper(internalChildNode, order, compare, insertElement)\n }\n };\n\n switch (insertResult) {\n case (#inserted) #inserted;\n case (#existent) #existent;\n case (#promote({ element = promotedElement; leftChild; rightChild })) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxElements : Nat = order - 1;\n // if current internal node is full, need to split the internal node\n if (internalNode.data.count >= maxElements) {\n // insert and split internal elements, determine new promotion target element\n let (leftElements, promotedParentElement, rightElements) = BTreeHelper.insertOneAtIndexAndSplitArray(\n internalNode.data.elements,\n promotedElement,\n insertIndex\n );\n\n // calculate the element count in the left elements and the element count in the right elements\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n // split internal children\n let (leftChildren, rightChildren) = NodeUtil.splitChildrenInTwoWithRebalances(\n internalNode.children,\n insertIndex,\n leftChild,\n rightChild\n );\n\n // send the element to be promoted, as well as the internal children left and right split\n #promote({\n element = promotedParentElement;\n leftChild = #internal({\n data = { elements = leftElements; var count = leftCount };\n children = leftChildren\n });\n rightChild = #internal({\n data = { elements = rightElements; var count = rightCount };\n children = rightChildren\n })\n })\n } else {\n // insert the new elements into the internal node\n NodeUtil.insertAtIndexOfNonFullNodeData(internalNode.data, ?promotedElement, insertIndex);\n // split and re-insert the single child that needs rebalancing\n NodeUtil.insertRebalancedChild(internalNode.children, insertIndex, leftChild, rightChild);\n #inserted\n }\n }\n }\n }\n }\n };\n\n func createLeaf(elements : [var ?T], count : Nat) : Node {\n #leaf({\n data = {\n elements;\n var count\n }\n })\n };\n\n // FIXME\n // Additional functionality compared to original source.\n\n func cloneData(data : Data) : Data {\n {\n elements = VarArray.clone(data.elements);\n var count = data.count\n }\n };\n\n func cloneNode(node : Node) : Node {\n switch node {\n case (#leaf { data }) {\n #leaf { data = cloneData(data) }\n };\n case (#internal { data; children }) {\n let clonedData = cloneData(data);\n let clonedChildren = VarArray.map, ?Node>(\n children,\n func child {\n switch child {\n case null null;\n case (?childNode) ?cloneNode(childNode)\n }\n }\n );\n #internal({\n data = clonedData;\n children = clonedChildren\n })\n }\n }\n };\n\n module BinarySearch {\n public type SearchResult = {\n #elementFound : Nat;\n #notFound : Nat\n };\n\n /// Searches an array for a specific element, returning the index it occurs at if #elementFound, or the child/insert index it may occur at\n /// if #notFound. This is used when determining if a element exists in an internal or leaf node, where an element should be inserted in a\n /// leaf node, or which child of an internal node a element could be in.\n ///\n /// Note: This function expects a mutable, nullable, array of elements in sorted order, where all nulls appear at the end of the array.\n /// This function may trap if a null element appears before any elements. It also expects a maxIndex, which is the right-most index (bound)\n /// from which to begin the binary search (the left most bound is expected to be 0)\n ///\n /// Parameters:\n ///\n /// * array - the sorted array that the binary search is performed upon\n /// * compare - the comparator used to perform the search\n /// * searchElement - the element being compared against in the search\n /// * maxIndex - the right-most index (bound) from which to begin the search\n public func binarySearchNode(array : [var ?T], compare : (T, T) -> Order.Order, searchElement : T, maxIndex : Nat) : SearchResult {\n // TODO: get rid of this check?\n // Trap if array is size 0 (should not happen)\n if (array.size() == 0) {\n assert false\n };\n\n // if all elements in the array are null (i.e. first element is null), return #notFound(0)\n if (maxIndex == 0) {\n return #notFound(0)\n };\n\n // Initialize search from first to last index\n var left : Nat = 0;\n var right = maxIndex; // maxIndex does not necessarily mean array.size() - 1\n // Search the array\n while (left < right) {\n let middle = (left + right) / 2;\n switch (array[middle]) {\n case null { assert false };\n case (?element) {\n switch (compare(searchElement, element)) {\n // If the element is present at the middle itself\n case (#equal) { return #elementFound(middle) };\n // If element is greater than mid, it can only be present in left subarray\n case (#greater) { left := middle + 1 };\n // If element is smaller than mid, it can only be present in right subarray\n case (#less) {\n right := if (middle == 0) { 0 } else { middle - 1 }\n }\n }\n }\n }\n };\n\n if (left == array.size()) {\n return #notFound(left)\n };\n\n // left == right\n switch (array[left]) {\n // inserting at end of array\n case null { #notFound(left) };\n case (?element) {\n switch (compare(searchElement, element)) {\n // if left is the searched element\n case (#equal) { #elementFound(left) };\n // if the element is not found, return notFound and the insert location\n case (#greater) { #notFound(left + 1) };\n case (#less) { #notFound(left) }\n }\n }\n }\n }\n };\n\n module NodeUtil {\n /// Inserts element at the given index into a non-full leaf node\n public func insertAtIndexOfNonFullNodeData(data : Data, element : ?T, insertIndex : Nat) {\n let currentLastElementIndex : Nat = if (data.count == 0) { 0 } else {\n data.count - 1\n };\n BTreeHelper.insertAtPosition(data.elements, element, insertIndex, currentLastElementIndex);\n\n // increment the count of data in this node since just inserted an element\n data.count += 1\n };\n\n /// Inserts two rebalanced (split) child halves into a non-full array of children.\n public func insertRebalancedChild(children : [var ?Node], rebalancedChildIndex : Nat, leftChildInsert : Node, rightChildInsert : Node) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n var j : Nat = children.size() - 2;\n\n // This is just a sanity check to ensure the children aren't already full (should split promote otherwise)\n // TODO: Remove this check once confident\n if (Option.isSome(children[j + 1])) { assert false };\n\n // Iterate backwards over the array and shift each element over to the right by one until the rebalancedChildIndex is hit\n while (j > rebalancedChildIndex) {\n children[j + 1] := children[j];\n j -= 1\n };\n\n // Insert both the left and right rebalanced children (replacing the pre-split child)\n children[j] := ?leftChildInsert;\n children[j + 1] := ?rightChildInsert\n };\n\n /// Used when splitting the children of an internal node\n ///\n /// Takes in the rebalanced child index, as well as both halves of the rebalanced child and splits the children, inserting the left and right child halves appropriately\n ///\n /// For more context, see the documentation for the splitArrayAndInsertTwo method in ArrayUtils.mo\n public func splitChildrenInTwoWithRebalances(\n children : [var ?Node],\n rebalancedChildIndex : Nat,\n leftChildInsert : Node,\n rightChildInsert : Node\n ) : ([var ?Node], [var ?Node]) {\n BTreeHelper.splitArrayAndInsertTwo>(children, rebalancedChildIndex, leftChildInsert, rightChildInsert)\n };\n\n /// Helper used to get the element index of of a element within a node\n ///\n /// for more, see the BinarySearch.binarySearchNode() documentation\n public func getElementIndex(data : Data, compare : (T, T) -> Order.Order, element : T) : BinarySearch.SearchResult {\n BinarySearch.binarySearchNode(data.elements, compare, element, data.count)\n };\n\n // calculates a BTree Node's minimum allowed elements given the order of the BTree\n public func minElementsFromOrder(order : Nat) : Nat {\n if (order % 2 == 0) { order / 2 - 1 } else { order / 2 }\n };\n\n // Given a node, get the maximum element (right most leaf element)\n public func getMaxElement(node : ?Node) : T {\n switch (node) {\n case (?#leaf({ data })) {\n switch (data.elements[data.count - 1]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.getMaxElement, data cannot have more elements than it's count\")\n };\n case (?element) { element }\n }\n };\n case (?#internal({ data; children })) {\n getMaxElement(children[data.count])\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.getMaxElement, the node provided cannot be null\")\n }\n }\n };\n\n type InorderBorrowType = {\n #predecessor;\n #successor\n };\n\n // attempts to retrieve the in max element of the child leaf node directly to the left if the node will allow it\n // returns the deleted max element if able to retrieve, null if not able\n //\n // mutates the predecessing node's elements\n public func borrowFromLeftLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?T {\n let predecessorIndex : Nat = ofChildIndex - 1;\n borrowFromLeafChild(children, predecessorIndex, #predecessor)\n };\n\n // attempts to retrieve the in max element of the child leaf node directly to the right if the node will allow it\n // returns the deleted max element if able to retrieve, null if not able\n //\n // mutates the predecessing node's elements\n public func borrowFromRightLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?T {\n borrowFromLeafChild(children, ofChildIndex + 1, #successor)\n };\n\n func borrowFromLeafChild(children : [var ?Node], borrowChildIndex : Nat, childSide : InorderBorrowType) : ?T {\n let minElements = minElementsFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#leaf({ data })) {\n if (data.count > minElements) {\n // able to borrow an element from this child, so decrement the count of elements\n data.count -= 1; // Since enforce order >= 4, there will always be at least 1 element per node\n switch (childSide) {\n case (#predecessor) {\n let deletedElement = data.elements[data.count];\n data.elements[data.count] := null;\n deletedElement\n };\n case (#successor) {\n ?BTreeHelper.deleteAndShift(data.elements, 0)\n }\n }\n } else { null }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.borrowFromLeafChild, the node at the borrow child index cannot be null or internal\")\n }\n }\n };\n\n type InternalBorrowResult = {\n #borrowed : InternalBorrow;\n #notEnoughElements : Internal\n };\n\n type InternalBorrow = {\n deletedSiblingElement : ?T;\n child : ?Node\n };\n\n // Attempts to borrow an element and child from an internal sibling node\n public func borrowFromInternalSibling(children : [var ?Node], borrowChildIndex : Nat, borrowType : InorderBorrowType) : InternalBorrowResult {\n let minElements = minElementsFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#internal({ data; children })) {\n if (data.count > minElements) {\n data.count -= 1;\n switch (borrowType) {\n case (#predecessor) {\n let deletedSiblingElement = data.elements[data.count];\n data.elements[data.count] := null;\n let child = children[data.count + 1];\n children[data.count + 1] := null;\n #borrowed({\n deletedSiblingElement;\n child\n })\n };\n case (#successor) {\n #borrowed({\n deletedSiblingElement = ?BTreeHelper.deleteAndShift(data.elements, 0);\n child = ?BTreeHelper.deleteAndShift(children, 0)\n })\n }\n }\n } else { #notEnoughElements({ data; children }) }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.borrowFromInternalSibling from internal sibling, the child at the borrow index cannot be null or a leaf\")\n }\n }\n };\n\n type SiblingSide = { #left; #right };\n\n // Rotates the borrowed elements and child from sibling side of the internal node to the internal child recipient\n public func rotateBorrowedElementsAndChildFromSibling(\n internalNode : Internal,\n parentRotateIndex : Nat,\n borrowedSiblingElement : ?T,\n borrowedSiblingChild : ?Node,\n internalChildRecipient : Internal,\n siblingSide : SiblingSide\n ) {\n // if borrowing from the left, the rotated element and child will always be inserted first\n // if borrowing from the right, the rotated element and child will always be inserted last\n let (elementIndex, childIndex) = switch (siblingSide) {\n case (#left) { (0, 0) };\n case (#right) {\n (internalChildRecipient.data.count, internalChildRecipient.data.count + 1)\n }\n };\n\n // get the parent element that will be pushed down the the child\n let elementToBePushedToChild = internalNode.data.elements[parentRotateIndex];\n // replace the parent with the sibling element\n internalNode.data.elements[parentRotateIndex] := borrowedSiblingElement;\n // push the element and child down into the internalChild\n insertAtIndexOfNonFullNodeData(internalChildRecipient.data, elementToBePushedToChild, elementIndex);\n\n BTreeHelper.insertAtPosition>(internalChildRecipient.children, borrowedSiblingChild, childIndex, internalChildRecipient.data.count)\n };\n\n // Merges the elements and children of two internal nodes, pushing the parent element in between the right and left halves\n public func mergeChildrenAndPushDownParent(leftChild : Internal, parentElement : ?T, rightChild : Internal) : Internal {\n {\n data = mergeData(leftChild.data, parentElement, rightChild.data);\n children = mergeChildren(leftChild.children, rightChild.children)\n }\n };\n\n func mergeData(leftData : Data, parentElement : ?T, rightData : Data) : Data {\n assert leftData.count <= minElementsFromOrder(leftData.elements.size() + 1);\n assert rightData.count <= minElementsFromOrder(rightData.elements.size() + 1);\n\n let mergedElements = VarArray.repeat(null, leftData.elements.size());\n var i = 0;\n while (i < leftData.count) {\n mergedElements[i] := leftData.elements[i];\n i += 1\n };\n\n mergedElements[i] := parentElement;\n i += 1;\n\n var j = 0;\n while (j < rightData.count) {\n mergedElements[i] := rightData.elements[j];\n i += 1;\n j += 1\n };\n\n {\n elements = mergedElements;\n var count = leftData.count + 1 + rightData.count\n }\n };\n\n func mergeChildren(leftChildren : [var ?Node], rightChildren : [var ?Node]) : [var ?Node] {\n let mergedChildren = VarArray.repeat>(null, leftChildren.size());\n var i = 0;\n\n while (Option.isSome(leftChildren[i])) {\n mergedChildren[i] := leftChildren[i];\n i += 1\n };\n\n var j = 0;\n while (Option.isSome(rightChildren[j])) {\n mergedChildren[i] := rightChildren[j];\n i += 1;\n j += 1\n };\n\n mergedChildren\n }\n }\n}\n"},"Array.mo":{"content":"/// Provides extended utility functions on immutable Arrays (values of type `[T]`).\n///\n/// Note the difference between mutable (`[var T]`) and immutable (`[T]`) arrays.\n/// Mutable arrays allow their elements to be modified after creation, while\n/// immutable arrays are fixed once created.\n///\n/// WARNING: If you are looking for a list that can grow and shrink in size,\n/// it is recommended you use `List` for those purposes.\n/// Arrays must be created with a fixed size.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Array \"mo:core/Array\";\n/// ```\n\nimport Order \"Order\";\nimport VarArray \"VarArray\";\nimport Option \"Option\";\nimport Types \"Types\";\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Creates an empty array (equivalent to `[]`).\n ///\n /// ```motoko include=import\n /// let array = Array.empty();\n /// assert array == [];\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func empty() : [T] = [];\n\n /// Creates an array containing `item` repeated `size` times.\n ///\n /// ```motoko include=import\n /// let array = Array.repeat(\"Echo\", 3);\n /// assert array == [\"Echo\", \"Echo\", \"Echo\"];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func repeat(item : T, size : Nat) : [T] = Prim.Array_tabulate(size, func _ = item);\n\n /// Creates an immutable array of size `size`. Each element at index i\n /// is created by applying `generator` to i.\n ///\n /// ```motoko include=import\n /// let array : [Nat] = Array.tabulate(4, func i = i * 2);\n /// assert array == [0, 2, 4, 6];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `generator` runs in O(1) time and space.\n public let tabulate : (size : Nat, generator : Nat -> T) -> [T] = Prim.Array_tabulate;\n\n /// Transforms a mutable array into an immutable array.\n ///\n /// ```motoko include=import\n /// let varArray = [var 0, 1, 2];\n /// varArray[2] := 3;\n /// let array = Array.fromVarArray(varArray);\n /// assert array == [0, 1, 3];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n /// @deprecated M0235\n public func fromVarArray(varArray : [var T]) : [T] = Prim.Array_tabulate(varArray.size(), func i = varArray[i]);\n\n /// Transforms an immutable array into a mutable array.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [0, 1, 2];\n /// let varArray = Array.toVarArray(array);\n /// varArray[2] := 3;\n /// assert VarArray.equal(varArray, [var 0, 1, 3], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func toVarArray(self : [T]) : [var T] {\n let size = self.size();\n if (size == 0) {\n return [var]\n };\n let newArray = Prim.Array_init(size, self[0]);\n var i = 0;\n while (i < size) {\n newArray[i] := self[i];\n i += 1\n };\n newArray\n };\n\n /// Tests if two arrays contain equal values (i.e. they represent the same\n /// list of elements). Uses `equal` to compare elements in the arrays.\n ///\n /// ```motoko include=import\n /// // Use the equal function from the Nat module to compare Nats\n /// import {equal} \"mo:core/Nat\";\n ///\n /// let array1 = [0, 1, 2, 3];\n /// let array2 = [0, 1, 2, 3];\n /// assert Array.equal(array1, array2, equal);\n /// ```\n ///\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func equal(self : [T], other : [T], equal : (implicit : (T, T) -> Bool)) : Bool {\n let size1 = self.size();\n let size2 = other.size();\n if (size1 != size2) {\n return false\n };\n var i = 0;\n while (i < size1) {\n if (not equal(self[i], other[i])) {\n return false\n };\n i += 1\n };\n true\n };\n\n /// Returns the first value in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = [1, 9, 4, 8];\n /// let found = Array.find(array, func x = x > 8);\n /// assert found == ?9;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func find(self : [T], predicate : T -> Bool) : ?T {\n for (element in self.vals()) {\n if (predicate(element)) {\n return ?element\n }\n };\n null\n };\n\n /// Returns the first index in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = ['A', 'B', 'C', 'D'];\n /// let found = Array.findIndex(array, func(x) { x == 'C' });\n /// assert found == ?2;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : [T], predicate : T -> Bool) : ?Nat {\n for ((index, element) in enumerate(self)) {\n if (predicate(element)) {\n return ?index\n }\n };\n null\n };\n\n /// Create a new array by concatenating the values of `array1` and `array2`.\n /// Note that `Array.concat` copies its arguments and has linear complexity.\n ///\n /// ```motoko include=import\n /// let array1 = [1, 2, 3];\n /// let array2 = [4, 5, 6];\n /// let result = Array.concat(array1, array2);\n /// assert result == [1, 2, 3, 4, 5, 6];\n /// ```\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(size1 + size2)\n public func concat(self : [T], other : [T]) : [T] {\n let size1 = self.size();\n let size2 = other.size();\n Prim.Array_tabulate(\n size1 + size2,\n func i {\n if (i < size1) {\n self[i]\n } else {\n other[i - size1]\n }\n }\n )\n };\n\n /// Sorts the elements in the array according to `compare`.\n /// Sort is deterministic and stable.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [4, 2, 6];\n /// let sorted = Array.sort(array, Nat.compare);\n /// assert sorted == [2, 4, 6];\n /// ```\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sort(self : [T], compare : (implicit : (T, T) -> Order.Order)) : [T] {\n let varArray : [var T] = toVarArray(self);\n VarArray.sortInPlace(varArray, compare);\n fromVarArray(varArray)\n };\n\n /// Creates a new array by reversing the order of elements in `array`.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n /// let reversed = Array.reverse(array);\n /// assert reversed == [12, 11, 10];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func reverse(self : [T]) : [T] {\n let size = self.size();\n Prim.Array_tabulate(size, func i = self[size - i - 1])\n };\n\n /// Calls `f` with each element in `array`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// let array = [0, 1, 2, 3];\n /// Array.forEach(array, func(x) {\n /// sum += x;\n /// });\n /// assert sum == 6;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : [T], f : T -> ()) {\n for (item in self.vals()) {\n f(item)\n }\n };\n\n /// Creates a new array by applying `f` to each element in `array`. `f` \"maps\"\n /// each element it is applied to of type `X` to an element of type `Y`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// let array1 = [0, 1, 2, 3];\n /// let array2 = Array.map(array1, func x = x * 2);\n /// assert array2 == [0, 2, 4, 6];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func map(self : [T], f : T -> R) : [R] = Prim.Array_tabulate(self.size(), func i = f(self[i]));\n\n /// Creates a new array by applying `predicate` to every element\n /// in `array`, retaining the elements for which `predicate` returns true.\n ///\n /// ```motoko include=import\n /// let array = [4, 2, 6, 1, 5];\n /// let evenElements = Array.filter(array, func x = x % 2 == 0);\n /// assert evenElements == [4, 2, 6];\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func filter(self : [T], f : T -> Bool) : [T] {\n var count = 0;\n let keep = Prim.Array_tabulate(\n self.size(),\n func i {\n if (f(self[i])) {\n count += 1;\n true\n } else {\n false\n }\n }\n );\n var nextKeep = 0;\n Prim.Array_tabulate(\n count,\n func _ {\n while (not keep[nextKeep]) {\n nextKeep += 1\n };\n nextKeep += 1;\n self[nextKeep - 1]\n }\n )\n };\n\n /// Creates a new array by applying `f` to each element in `array`,\n /// and keeping all non-null elements. The ordering is retained.\n ///\n /// ```motoko include=import\n /// import {toText} \"mo:core/Nat\";\n ///\n /// let array = [4, 2, 0, 1];\n /// let newArray =\n /// Array.filterMap( // mapping from Nat to Text values\n /// array,\n /// func x = if (x == 0) { null } else { ?toText(100 / x) } // can't divide by 0, so return null\n /// );\n /// assert newArray == [\"25\", \"50\", \"100\"];\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func filterMap(self : [T], f : T -> ?R) : [R] {\n var count = 0;\n let options = Prim.Array_tabulate(\n self.size(),\n func i {\n let result = f(self[i]);\n switch (result) {\n case (?element) {\n count += 1;\n result\n };\n case null {\n null\n }\n }\n }\n );\n\n var nextSome = 0;\n Prim.Array_tabulate(\n count,\n func _ {\n while (Option.isNull(options[nextSome])) {\n nextSome += 1\n };\n nextSome += 1;\n switch (options[nextSome - 1]) {\n case (?element) element;\n case null {\n Prim.trap \"Array.filterMap(): malformed array\"\n }\n }\n }\n )\n };\n\n /// Creates a new array by applying `f` to each element in `array`.\n /// If any invocation of `f` produces an `#err`, returns an `#err`. Otherwise\n /// returns an `#ok` containing the new array.\n ///\n /// ```motoko include=import\n /// let array = [4, 3, 2, 1, 0];\n /// // divide 100 by every element in the array\n /// let result = Array.mapResult(array, func x {\n /// if (x > 0) {\n /// #ok(100 / x)\n /// } else {\n /// #err \"Cannot divide by zero\"\n /// }\n /// });\n /// assert result == #err \"Cannot divide by zero\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n /// @deprecated M0235\n public func mapResult(self : [T], f : T -> Types.Result) : Types.Result<[R], E> {\n let size = self.size();\n\n var error : ?Types.Result<[R], E> = null;\n let results = Prim.Array_tabulate(\n size,\n func i {\n switch (f(self[i])) {\n case (#ok element) {\n ?element\n };\n case (#err e) {\n switch (error) {\n case null {\n // only take the first error\n error := ?(#err e)\n };\n case _ {}\n };\n null\n }\n }\n }\n );\n\n switch error {\n case null {\n // unpack the option\n #ok(\n map(\n results,\n func element {\n switch element {\n case (?element) {\n element\n };\n case null {\n Prim.trap \"Array.mapResult(): malformed array\"\n }\n }\n }\n )\n )\n };\n case (?error) {\n error\n }\n }\n };\n\n /// Creates a new array by applying `f` to each element in `array` and its index.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// let array = [10, 10, 10, 10];\n /// let newArray = Array.mapEntries(array, func (x, i) = i * x);\n /// assert newArray == [0, 10, 20, 30];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapEntries(self : [T], f : (T, Nat) -> R) : [R] = Prim.Array_tabulate(self.size(), func i = f(self[i], i));\n\n /// Creates a new array by applying `k` to each element in `array`,\n /// and concatenating the resulting arrays in order.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4];\n /// let newArray = Array.flatMap(array, func x = [x, -x].values());\n /// assert newArray == [1, -1, 2, -2, 3, -3, 4, -4];\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `k` runs in O(1) time and space.\n public func flatMap(self : [T], k : T -> Types.Iter) : [R] {\n var flatSize = 0;\n let arrays = Prim.Array_tabulate<[R]>(\n self.size(),\n func i {\n let subArray = fromIter(k(self[i]));\n flatSize += subArray.size();\n subArray\n }\n );\n\n // could replace with a call to flatten,\n // but it would require an extra pass (to compute `flatSize`)\n var outer = 0;\n var inner = 0;\n Prim.Array_tabulate(\n flatSize,\n func _ {\n while (inner == arrays[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = arrays[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// ```motoko include=import\n /// import {add} \"mo:core/Nat\";\n ///\n /// let array = [4, 2, 0, 1];\n /// let sum =\n /// Array.foldLeft(\n /// array,\n /// 0, // start the sum at 0\n /// func(sumSoFar, x) = sumSoFar + x // this entire function can be replaced with `add`!\n /// );\n /// assert sum == 7;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : [T], base : A, combine : (A, T) -> A) : A {\n var acc = base;\n for (element in self.values()) {\n acc := combine(acc, element)\n };\n acc\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// ```motoko include=import\n /// import {toText} \"mo:core/Nat\";\n ///\n /// let array = [1, 9, 4, 8];\n /// let bookTitle = Array.foldRight(array, \"\", func(x, acc) = toText(x) # acc);\n /// assert bookTitle == \"1948\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldRight(self : [T], base : A, combine : (T, A) -> A) : A {\n var acc = base;\n let size = self.size();\n var i = size;\n while (i > 0) {\n i -= 1;\n acc := combine(self[i], acc)\n };\n acc\n };\n\n /// Combines an iterator of arrays into a single array. Retains the original\n /// ordering of the elements.\n ///\n /// Consider using `Array.flatten()` for better performance.\n ///\n /// ```motoko include=import\n /// let arrays = [[0, 1, 2], [2, 3], [], [4]];\n /// let joinedArray = Array.join(arrays.values());\n /// assert joinedArray == [0, 1, 2, 2, 3, 4];\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func join(self : Types.Iter<[T]>) : [T] {\n flatten(fromIter(self))\n };\n\n /// Combines an array of arrays into a single array. Retains the original\n /// ordering of the elements.\n ///\n /// This has better performance compared to `Array.join()`.\n ///\n /// ```motoko include=import\n /// let arrays = [[0, 1, 2], [2, 3], [], [4]];\n /// let flatArray = Array.flatten(arrays);\n /// assert flatArray == [0, 1, 2, 2, 3, 4];\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func flatten(self : [[T]]) : [T] {\n var flatSize = 0;\n for (subArray in self.vals()) {\n flatSize += subArray.size()\n };\n\n var outer = 0;\n var inner = 0;\n Prim.Array_tabulate(\n flatSize,\n func _ {\n while (inner == self[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = self[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Create an array containing a single value.\n ///\n /// ```motoko include=import\n /// let array = Array.singleton(2);\n /// assert array == [2];\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func singleton(element : T) : [T] = [element];\n\n /// Returns the size of an array. Equivalent to `array.size()`.\n public func size(self : [T]) : Nat = self.size();\n\n /// Returns whether an array is empty, i.e. contains zero elements.\n public func isEmpty(self : [T]) : Bool = self.size() == 0;\n\n /// Converts an iterator to an array.\n /// @deprecated M0235\n public func fromIter(iter : Types.Iter) : [T] {\n var list : Types.Pure.List = null;\n var size = 0;\n label l loop {\n switch (iter.next()) {\n case (?element) {\n list := ?(element, list);\n size += 1\n };\n case null { break l }\n }\n };\n if (size == 0) { return [] };\n let array = Prim.Array_init(\n size,\n switch list {\n case (?(h, _)) h;\n case null {\n Prim.trap(\"Array.fromIter(): unreachable\")\n }\n }\n );\n var i = size : Nat;\n while (i > 0) {\n i -= 1;\n switch list {\n case (?(h, t)) {\n array[i] := h;\n list := t\n };\n case null {\n Prim.trap(\"Array.fromIter(): unreachable\")\n }\n }\n };\n Prim.Array_tabulate(size, func i = array[i])\n };\n\n /// Returns an iterator (`Iter`) over the indices of `array`.\n /// An iterator provides a single method `next()`, which returns\n /// indices in order, or `null` when out of index to iterate over.\n ///\n /// Note: You can also use `array.keys()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.keys()) {\n /// sum += element;\n /// };\n /// assert sum == 3; // 0 + 1 + 2\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func keys(self : [T]) : Types.Iter = self.keys();\n\n /// Iterator provides a single method `next()`, which returns\n /// elements in order, or `null` when out of elements to iterate over.\n ///\n /// Note: You can also use `array.values()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.values()) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func values(self : [T]) : Types.Iter = self.values();\n\n /// Iterator provides a single method `next()`, which returns\n /// pairs of (index, element) in order, or `null` when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n ///\n /// var sum = 0;\n /// for ((index, element) in Array.enumerate(array)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func enumerate(self : [T]) : Types.Iter<(Nat, T)> = object {\n let size = self.size();\n var index = 0;\n public func next() : ?(Nat, T) {\n if (index >= size) {\n return null\n };\n let i = index;\n index += 1;\n ?(i, self[i])\n }\n };\n\n /// Returns true if all elements in `array` satisfy the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4];\n /// assert Array.all(array, func x = x > 0);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func all(self : [T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Returns true if any element in `array` satisfies the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4];\n /// assert Array.any(array, func x = x > 3);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func any(self : [T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Returns the index of the first `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.indexOf(array, Char.equal, 'c') == ?0;\n /// assert Array.indexOf(array, Char.equal, 'f') == ?2;\n /// assert Array.indexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func indexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = nextIndexOf(self, equal, element, 0);\n\n /// Returns the index of the next occurence of `element` in the `array` starting from the `from` index (inclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.nextIndexOf(array, Char.equal, 'c', 0) == ?0;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 0) == ?2;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 2) == ?2;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 3) == ?3;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func nextIndexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T, fromInclusive : Nat) : ?Nat {\n var index = fromInclusive;\n let size = self.size();\n while (index < size) {\n if (equal(self[index], element)) {\n return ?index\n } else {\n index += 1\n }\n };\n null\n };\n\n /// Returns the index of the last `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.lastIndexOf(array, Char.equal, 'c') == ?0;\n /// assert Array.lastIndexOf(array, Char.equal, 'f') == ?3;\n /// assert Array.lastIndexOf(array, Char.equal, 'e') == ?5;\n /// assert Array.lastIndexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func lastIndexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = prevIndexOf(self, equal, element, self.size());\n\n /// Returns the index of the previous occurence of `element` in the `array` starting from the `from` index (exclusive).\n ///\n /// Negative indices are relative to the end of the array. For example, `-1` corresponds to the last element in the array.\n ///\n /// If the indices are out of bounds, they are clamped to the array bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.prevIndexOf(array, Char.equal, 'c', array.size()) == ?0;\n /// assert Array.prevIndexOf(array, Char.equal, 'e', array.size()) == ?5;\n /// assert Array.prevIndexOf(array, Char.equal, 'e', 5) == ?4;\n /// assert Array.prevIndexOf(array, Char.equal, 'e', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size());\n /// Space: O(1);\n public func prevIndexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T, fromExclusive : Nat) : ?Nat {\n var i = fromExclusive;\n while (i > 0) {\n i -= 1;\n if (equal(self[i], element)) {\n return ?i\n }\n };\n null\n };\n\n /// Returns true if the `array` contains `element` using the provided `equal` function.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.contains(array, Char.equal, 'f');\n /// assert not Array.contains(array, Char.equal, 'g');\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func contains(self : [T], equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (item in self.vals()) {\n if (equal(item, element)) {\n return true\n }\n };\n false\n };\n\n /// Returns an iterator over a slice of `array` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// Negative indices are relative to the end of the array. For example, `-1` corresponds to the last element in the array.\n ///\n /// If the indices are out of bounds, they are clamped to the array bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4, 5];\n /// let iter1 = Array.range(array, 3, array.size());\n /// assert iter1.next() == ?4;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// let iter2 = Array.range(array, 3, -1);\n /// assert iter2.next() == ?4;\n /// assert iter2.next() == null;\n ///\n /// let iter3 = Array.range(array, 0, 0);\n /// assert iter3.next() == null;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func range(self : [T], fromInclusive : Int, toExclusive : Int) : Types.Iter {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n object {\n var pos = start;\n public func next() : ?T {\n if (pos >= end) {\n null\n } else {\n let elem = self[pos];\n pos += 1;\n ?elem\n }\n }\n }\n };\n\n /// Returns a new array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4, 5];\n ///\n /// let slice1 = Array.sliceToArray(array, 1, 4);\n /// assert slice1 == [2, 3, 4];\n ///\n /// let slice2 = Array.sliceToArray(array, 1, -1);\n /// assert slice2 == [2, 3, 4];\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToArray(self : [T], fromInclusive : Int, toExclusive : Int) : [T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return []\n };\n Prim.Array_tabulate(end - start, func i = self[start + i])\n };\n\n /// Returns a new mutable array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [1, 2, 3, 4, 5];\n ///\n /// let slice1 = Array.sliceToVarArray(array, 1, 4);\n /// assert VarArray.equal(slice1, [var 2, 3, 4], Nat.equal);\n ///\n /// let slice2 = Array.sliceToVarArray(array, 1, -1);\n /// assert VarArray.equal(slice2, [var 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToVarArray(self : [T], fromInclusive : Int, toExclusive : Int) : [var T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return [var]\n };\n Prim.Array_tabulateVar(end - start, func i = self[start + i])\n };\n\n /// Converts the array to its textual representation using `f` to convert each element to `Text`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [1, 2, 3];\n /// let text = Array.toText(array, Nat.toText);\n /// assert text == \"[1, 2, 3]\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func toText(self : [T], f : (implicit : (toText : T -> Text))) : Text {\n let size = self.size();\n if (size == 0) { return \"[]\" };\n var text = \"[\";\n var i = 0;\n while (i < size) {\n if (i != 0) {\n text #= \", \"\n };\n text #= f(self[i]);\n i += 1\n };\n text #= \"]\";\n text\n };\n\n /// Compares two arrays using the provided comparison function for elements.\n /// Returns #less, #equal, or #greater if `array1` is less than, equal to,\n /// or greater than `array2` respectively.\n ///\n /// If arrays have different sizes but all elements up to the shorter length are equal,\n /// the shorter array is considered #less than the longer array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [1, 2, 3];\n /// let array2 = [1, 2, 4];\n /// assert Array.compare(array1, array2, Nat.compare) == #less;\n /// ```\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array3 = [1, 2];\n /// let array4 = [1, 2, 3];\n /// assert Array.compare(array3, array4, Nat.compare) == #less;\n /// ```\n ///\n /// Runtime: O(min(size1, size2))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func compare(self : [T], other : [T], compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let size1 = self.size();\n let size2 = other.size();\n var i = 0;\n let minSize = if (size1 < size2) { size1 } else { size2 };\n while (i < minSize) {\n switch (compare(self[i], other[i])) {\n case (#less) { return #less };\n case (#greater) { return #greater };\n case (#equal) { i += 1 }\n }\n };\n if (size1 < size2) { #less } else if (size1 > size2) { #greater } else {\n #equal\n }\n };\n\n /// Performs binary search on a sorted array to find the index of the `element`.\n ///\n /// Returns `#found(index)` if the element is found, or `#insertionIndex(index)` with the index\n /// where the element would be inserted according to the ordering if not found.\n ///\n /// If there are multiple equal elements, no guarantee is made about which index is returned.\n /// The array must be sorted in ascending order according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let sorted = [1, 3, 5, 7, 9, 11];\n /// assert Array.binarySearch(sorted, Nat.compare, 5) == #found(2);\n /// assert Array.binarySearch(sorted, Nat.compare, 6) == #insertionIndex(3);\n /// ```\n ///\n /// Runtime: O(log(size))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func binarySearch(self : [T], compare : (implicit : (T, T) -> Order.Order), element : T) : {\n #found : Nat;\n #insertionIndex : Nat\n } {\n var left = 0;\n var right = self.size();\n while (left < right) {\n let mid = (left + right) / 2;\n switch (compare(self[mid], element)) {\n case (#less) left := mid + 1;\n case (#greater) right := mid;\n case (#equal) return #found mid\n }\n };\n #insertionIndex left\n };\n\n /// Checks whether the `array` is sorted according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [1, 2, 3];\n /// assert Array.isSorted(array, Nat.compare);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func isSorted(self : [T], compare : (implicit : (T, T) -> Order.Order)) : Bool {\n let size = self.size();\n if (size <= 1) return true;\n var i = 1;\n while (i < size) {\n switch (compare(self[i - 1], self[i])) {\n case (#greater) return false;\n case _ { i += 1 }\n }\n };\n true\n }\n}\n"},"Nat16.mo":{"content":"/// Utility functions on 16-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat16 \"mo:core/Nat16\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 16-bit natural numbers.\n public type Nat16 = Prim.Types.Nat16;\n\n /// Maximum 16-bit natural number. `2 ** 16 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.maxValue == (65535 : Nat16);\n /// ```\n public let maxValue : Nat16 = 65535;\n\n /// Converts a 16-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat16) -> Nat = Prim.nat16ToNat;\n\n /// Converts an unsigned integer with infinite precision to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat(123) == (123 : Nat16);\n /// ```\n public let fromNat : Nat -> Nat16 = Prim.natToNat16;\n\n /// Converts an 8-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat8(123) == (123 : Nat16);\n /// ```\n /// @deprecated M0235\n public let fromNat8 : (x : Nat8) -> Nat16 = Prim.nat8ToNat16;\n\n /// Converts a 16-bit unsigned integer to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat8(123) == (123 : Nat8);\n /// ```\n public let toNat8 : (self : Nat16) -> Nat8 = Prim.nat16ToNat8;\n\n /// Converts a 32-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat32(123) == (123 : Nat16);\n /// ```\n /// @deprecated M0235\n public let fromNat32 : (x : Nat32) -> Nat16 = Prim.nat32ToNat16;\n\n /// Converts a 16-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat32(123) == (123 : Nat32);\n /// ```\n public let toNat32 : (self : Nat16) -> Nat32 = Prim.nat16ToNat32;\n\n /// Converts a 64-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat64(123) == (123 : Nat16);\n /// ```\n /// @deprecated M0235\n public func fromNat64(x : Nat64) : Nat16 {\n Prim.nat32ToNat16(Prim.nat64ToNat32(x))\n };\n\n /// Converts a 16-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat64(123) == (123 : Nat64);\n /// ```\n public func toNat64(self : Nat16) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(self))\n };\n\n /// Converts a signed integer with infinite precision to a 16-bit unsigned integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromIntWrap(123 : Int) == (123 : Nat16);\n /// ```\n public let fromIntWrap : Int -> Nat16 = Prim.intToNat16Wrap;\n\n /// Converts `x` to its textual representation. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toText(1234) == (\"1234\" : Text);\n /// ```\n public func toText(self : Nat16) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.min(123, 200) == (123 : Nat16);\n /// ```\n public func min(x : Nat16, y : Nat16) : Nat16 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.max(123, 200) == (200 : Nat16);\n /// ```\n public func max(x : Nat16, y : Nat16) : Nat16 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat16 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.equal(1, 1);\n /// assert (1 : Nat16) == (1 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat16 = 111;\n /// let b : Nat16 = 222;\n /// assert not Nat16.equal(a, b);\n /// ```\n public func equal(x : Nat16, y : Nat16) : Bool { x == y };\n\n /// Inequality function for Nat16 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.notEqual(1, 2);\n /// assert (1 : Nat16) != (2 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat16, y : Nat16) : Bool { x != y };\n\n /// \"Less than\" function for Nat16 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.less(1, 2);\n /// assert (1 : Nat16) < (2 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat16, y : Nat16) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat16 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.lessOrEqual(1, 2);\n /// assert (1 : Nat16) <= (2 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat16, y : Nat16) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat16 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.greater(2, 1);\n /// assert (2 : Nat16) > (1 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat16, y : Nat16) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat16 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.greaterOrEqual(2, 1);\n /// assert (2 : Nat16) >= (1 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat16, y : Nat16) : Bool {\n x >= y\n };\n\n /// General purpose comparison function for `Nat16`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat16], Nat16.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat16, y : Nat16) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.add(1, 2) == 3;\n /// assert (1 : Nat16) + (2 : Nat16) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat16.add) == 6;\n /// ```\n public func add(x : Nat16, y : Nat16) : Nat16 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.sub(2, 1) == 1;\n /// assert (2 : Nat16) - (1 : Nat16) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 20, Nat16.sub) == 14;\n /// ```\n public func sub(x : Nat16, y : Nat16) : Nat16 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.mul(2, 3) == 6;\n /// assert (2 : Nat16) * (3 : Nat16) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat16.mul) == 6;\n /// ```\n public func mul(x : Nat16, y : Nat16) : Nat16 { x * y };\n\n /// Returns the quotient of `x` divided by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.div(6, 2) == 3;\n /// assert (6 : Nat16) / (2 : Nat16) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat16, y : Nat16) : Nat16 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.rem(6, 4) == 2;\n /// assert (6 : Nat16) % (4 : Nat16) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat16, y : Nat16) : Nat16 { x % y };\n\n /// Returns the power of `x` to `y`, `x ** y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.pow(2, 3) == 8;\n /// assert (2 : Nat16) ** (3 : Nat16) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat16, y : Nat16) : Nat16 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitnot(0) == 65535;\n /// assert ^(0 : Nat16) == 65535;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat16) : Nat16 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitand(0, 1) == 0;\n /// assert (0 : Nat16) & (1 : Nat16) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat16, y : Nat16) : Nat16 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitor(0, 1) == 1;\n /// assert (0 : Nat16) | (1 : Nat16) == 1;\n /// ```\n public func bitor(x : Nat16, y : Nat16) : Nat16 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitxor(0, 1) == 1;\n /// assert (0 : Nat16) ^ (1 : Nat16) == 1;\n /// ```\n public func bitxor(x : Nat16, y : Nat16) : Nat16 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitshiftLeft(1, 3) == 8;\n /// assert (1 : Nat16) << (3 : Nat16) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat16, y : Nat16) : Nat16 {\n x << y\n };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitshiftRight(8, 3) == 1;\n /// assert (8 : Nat16) >> (3 : Nat16) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat16, y : Nat16) : Nat16 {\n x >> y\n };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitrotLeft(2, 1) == 4;\n /// assert (2 : Nat16) <<> (1 : Nat16) == 4;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat16, y : Nat16) : Nat16 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitrotRight(1, 1) == 32768;\n /// assert (1 : Nat16) <>> (1 : Nat16) == 32768;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat16, y : Nat16) : Nat16 {\n x <>> y\n };\n\n /// Returns the value of bit `p mod 16` in `x`, `(x & 2^(p mod 16)) == 2^(p mod 16)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bittest(5, 2);\n /// ```\n public func bittest(x : Nat16, p : Nat) : Bool {\n Prim.btstNat16(x, Prim.natToNat16(p))\n };\n\n /// Returns the value of setting bit `p mod 16` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitset(0, 2) == 4;\n /// ```\n public func bitset(x : Nat16, p : Nat) : Nat16 {\n x | (1 << Prim.natToNat16(p))\n };\n\n /// Returns the value of clearing bit `p mod 16` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat16, p : Nat) : Nat16 {\n x & ^(1 << Prim.natToNat16(p))\n };\n\n /// Returns the value of flipping bit `p mod 16` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat16, p : Nat) : Nat16 {\n x ^ (1 << Prim.natToNat16(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat16) -> Nat16 = Prim.popcntNat16;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitcountLeadingZero(5) == 13;\n /// ```\n public let bitcountLeadingZero : (x : Nat16) -> Nat16 = Prim.clzNat16;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitcountTrailingZero(5) == 0;\n /// ```\n public let bitcountTrailingZero : (x : Nat16) -> Nat16 = Prim.ctzNat16;\n\n /// Returns the upper (i.e. most significant) and lower (least significant) byte of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.explode 0xaa88 == (170, 136);\n /// ```\n public let explode : (x : Nat16) -> (msb : Nat8, lsb : Nat8) = Prim.explodeNat16;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.addWrap(65532, 5) == 1;\n /// assert (65532 : Nat16) +% (5 : Nat16) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat16, y : Nat16) : Nat16 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.subWrap(1, 2) == 65535;\n /// assert (1 : Nat16) -% (2 : Nat16) == 65535;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat16, y : Nat16) : Nat16 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.mulWrap(655, 101) == 619;\n /// assert (655 : Nat16) *% (101 : Nat16) == 619;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat16, y : Nat16) : Nat16 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.powWrap(2, 16) == 0;\n /// assert (2 : Nat16) **% (16 : Nat16) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat16, y : Nat16) : Nat16 { x **% y };\n\n /// Returns an iterator over `Nat16` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat16, toExclusive : Nat16) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat16 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat16` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat16, to : Nat16) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat16 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat16 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"Int64.mo":{"content":"/// Utility functions on 64-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int64 \"mo:core/Int64\";\n/// ```\n\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 64-bit signed integers.\n public type Int64 = Prim.Types.Int64;\n\n /// Minimum 64-bit integer value, `-2 ** 63`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.minValue == -9_223_372_036_854_775_808;\n /// ```\n public let minValue : Int64 = -9_223_372_036_854_775_808;\n\n /// Maximum 64-bit integer value, `+2 ** 63 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.maxValue == +9_223_372_036_854_775_807;\n /// ```\n public let maxValue : Int64 = 9_223_372_036_854_775_807;\n\n /// Converts a 64-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt(123_456) == (123_456 : Int);\n /// ```\n public let toInt : (self : Int64) -> Int = Prim.int64ToInt;\n\n /// Converts a signed integer with infinite precision to a 64-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt(123_456) == (+123_456 : Int64);\n /// ```\n public let fromInt : (x : Int) -> Int64 = Prim.intToInt64;\n\n /// Converts a 32-bit signed integer to a 64-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt32(-123_456) == (-123_456 : Int64);\n /// ```\n public let fromInt32 : (x : Int32) -> Int64 = Prim.int32ToInt64;\n\n /// Converts a 16-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt16(-123) == (-123 : Int64);\n /// ```\n public func fromInt16(x : Int16) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(x))\n };\n\n /// Converts an 8-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt8(-123) == (-123 : Int64);\n /// ```\n public func fromInt8(x : Int8) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(Prim.int8ToInt16(x)))\n };\n\n /// Converts a 64-bit signed integer to a 32-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt32(-123_456) == (-123_456 : Int32);\n /// ```\n public func toInt32(self : Int64) : Int32 {\n Prim.int64ToInt32(self)\n };\n\n /// Converts a 64-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt16(-123) == (-123 : Int16);\n /// ```\n public func toInt16(self : Int64) : Int16 {\n Prim.int32ToInt16(Prim.int64ToInt32(self))\n };\n\n /// Converts a 64-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt8(-123) == (-123 : Int8);\n /// ```\n public func toInt8(self : Int64) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(Prim.int64ToInt32(self)))\n };\n\n /// Converts a signed integer with infinite precision to a 64-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromIntWrap(-123_456) == (-123_456 : Int64);\n /// ```\n public let fromIntWrap : Int -> Int64 = Prim.intToInt64Wrap;\n\n /// Converts an unsigned 64-bit integer to a signed 64-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromNat64(123_456) == (+123_456 : Int64);\n /// ```\n public let fromNat64 : Nat64 -> Int64 = Prim.nat64ToInt64;\n\n /// Converts a signed 64-bit integer to an unsigned 64-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toNat64(-1) == (18_446_744_073_709_551_615 : Nat64); // underflow\n /// ```\n public let toNat64 : (self : Int64) -> Nat64 = Prim.int64ToNat64;\n\n /// Returns the Text representation of `x`. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toText(-123456) == \"-123456\";\n /// ```\n public func toText(self : Int64) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 63` (the minimum `Int64` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.abs(-123456) == +123_456;\n /// ```\n public func abs(x : Int64) : Int64 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.min(+2, -3) == -3;\n /// ```\n public func min(x : Int64, y : Int64) : Int64 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.max(+2, -3) == +2;\n /// ```\n public func max(x : Int64, y : Int64) : Int64 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int64 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int64 = -123;\n /// let b : Int64 = 123;\n /// assert not Int64.equal(a, b);\n /// ```\n public func equal(x : Int64, y : Int64) : Bool { x == y };\n\n /// Inequality function for Int64 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int64, y : Int64) : Bool { x != y };\n\n /// \"Less than\" function for Int64 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int64, y : Int64) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int64 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int64, y : Int64) : Bool { x <= y };\n\n /// \"Greater than\" function for Int64 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.greater(-2, -3);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int64, y : Int64) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int64 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.greaterOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int64, y : Int64) : Bool {\n x >= y\n };\n\n /// General-purpose comparison function for `Int64`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int64], Int64.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int64, y : Int64) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 63)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int64) : Int64 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.add(1234, 123) == +1_357;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int64.add) == -4;\n /// ```\n public func add(x : Int64, y : Int64) : Int64 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.sub(123, 100) == +23;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int64.sub) == 4;\n /// ```\n public func sub(x : Int64, y : Int64) : Int64 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.mul(123, 10) == +1_230;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int64.mul) == 6;\n /// ```\n public func mul(x : Int64, y : Int64) : Int64 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int64, y : Int64) : Int64 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int64, y : Int64) : Int64 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 64`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.pow(2, 10) == +1_024;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int64, y : Int64) : Int64 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitnot(-256 /* 0xffff_ffff_ffff_ff00 */) == +255 // 0xff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int64) : Int64 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitand(0xffff, 0x00f0) == +240 // 0xf0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int64, y : Int64) : Int64 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitor(0xffff, 0x00f0) == +65_535 // 0xffff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int64, y : Int64) : Int64 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitxor(0xffff, 0x00f0) == +65_295 // 0xff0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int64, y : Int64) : Int64 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 64`, the semantics is the same as for `bitshiftLeft(x, y % 64)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitshiftLeft(1, 8) == +256 // 0x100 equivalent to `2 ** 8`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int64, y : Int64) : Int64 {\n x << y\n };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 64`, the semantics is the same as for `bitshiftRight(x, y % 64)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitshiftRight(1024, 8) == +4 // equivalent to `1024 / (2 ** 8)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int64, y : Int64) : Int64 {\n x >> y\n };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 64`, the semantics is the same as for `bitrotLeft(x, y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n ///\n /// assert Int64.bitrotLeft(0x2000_0000_0000_0001, 4) == +18 // 0x12.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int64, y : Int64) : Int64 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 64`, the semantics is the same as for `bitrotRight(x, y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitrotRight(0x0002_0000_0000_0001, 48) == +65538 // 0x1_0002.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int64, y : Int64) : Int64 {\n x <>> y\n };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 64`, the semantics is the same as for `bittest(x, p % 64)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bittest(128, 7);\n /// ```\n public func bittest(x : Int64, p : Nat) : Bool {\n Prim.btstInt64(x, Prim.intToInt64(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 64`, the semantics is the same as for `bitset(x, p % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitset(0, 7) == +128;\n /// ```\n public func bitset(x : Int64, p : Nat) : Int64 {\n x | (1 << Prim.intToInt64(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 64`, the semantics is the same as for `bitclear(x, p % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitclear(-1, 7) == -129;\n /// ```\n public func bitclear(x : Int64, p : Nat) : Int64 {\n x & ^(1 << Prim.intToInt64(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 64`, the semantics is the same as for `bitclear(x, p % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitflip(255, 7) == +127;\n /// ```\n public func bitflip(x : Int64, p : Nat) : Int64 {\n x ^ (1 << Prim.intToInt64(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitcountNonZero(0xffff) == +16;\n /// ```\n public let bitcountNonZero : (x : Int64) -> Int64 = Prim.popcntInt64;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitcountLeadingZero(0x8000_0000) == +32;\n /// ```\n public let bitcountLeadingZero : (x : Int64) -> Int64 = Prim.clzInt64;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitcountTrailingZero(0x0201_0000) == +16;\n /// ```\n public let bitcountTrailingZero : (x : Int64) -> Int64 = Prim.ctzInt64;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.explode 0x33772266aa885511 == (51, 119, 34, 102, 170, 136, 85, 17);\n /// ```\n public let explode : (x : Int64) -> (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeInt64;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.addWrap(2 ** 62, 2 ** 62) == -9_223_372_036_854_775_808; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int64, y : Int64) : Int64 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.subWrap(-2 ** 63, 1) == +9_223_372_036_854_775_807; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int64, y : Int64) : Int64 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.mulWrap(2 ** 32, 2 ** 32) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int64, y : Int64) : Int64 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 64`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.powWrap(2, 63) == -9_223_372_036_854_775_808; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int64, y : Int64) : Int64 { x **% y };\n\n /// Returns an iterator over `Int64` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int64, toExclusive : Int64) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int64 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int64` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int64, to : Int64) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int64 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int64 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.allValues();\n /// assert iter.next() == ?-9_223_372_036_854_775_808;\n /// assert iter.next() == ?-9_223_372_036_854_775_807;\n /// assert iter.next() == ?-9_223_372_036_854_775_806;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"Iter.mo":{"content":"/// Utilities for `Iter` (iterator) values.\n///\n/// Iterators are a way to represent sequences of values that can be lazily produced.\n/// They can be used to:\n/// - Iterate over collections.\n/// - Represent collections that are too large to fit in memory or that are produced incrementally.\n/// - Transform collections without creating intermediate collections.\n///\n/// Iterators are inherently stateful. Calling `next` \"consumes\" a value from\n/// the Iterator that cannot be put back, so keep that in mind when sharing\n/// iterators between consumers.\n///\n/// ```motoko name=import\n/// import Iter \"mo:core/Iter\";\n/// ```\n///\n///\n/// An iterator can be iterated over using a `for` loop:\n/// ```motoko\n/// let iter = [1, 2, 3].values();\n/// for (x in iter) {\n/// // do something with x...\n/// }\n/// ```\n///\n/// Iterators can be:\n/// - created from other collections (e.g. using `values` or `keys` function on a `Map`) or from scratch (e.g. using `empty` or `singleton`).\n/// - transformed using `map`, `filter`, `concat`, etc. Which can be used to compose several transformations together without materializing intermediate collections.\n/// - consumed using `forEach`, `size`, `toArray`, etc.\n/// - combined using `concat`.\n\nimport Prim \"mo:prim\";\n\nimport Array \"Array\";\nimport Order \"Order\";\nimport Runtime \"Runtime\";\nimport Types \"Types\";\nimport VarArray \"VarArray\";\n\nmodule {\n\n /// An iterator that produces values of type `T`. Calling `next` returns\n /// `null` when iteration is finished.\n ///\n /// Iterators are inherently stateful. Calling `next` \"consumes\" a value from\n /// the Iterator that cannot be put back, so keep that in mind when sharing\n /// iterators between consumers.\n ///\n /// An iterator `i` can be iterated over using\n /// ```motoko\n /// let iter = [1, 2, 3].values();\n /// for (x in iter) {\n /// // do something with x...\n /// }\n /// ```\n public type Iter = Types.Iter;\n\n /// Creates an empty iterator.\n ///\n /// ```motoko include=import\n /// for (x in Iter.empty())\n /// assert false; // This loop body will never run\n /// ```\n public func empty() : Iter {\n object {\n public func next() : ?T {\n null\n }\n }\n };\n\n /// Creates an iterator that produces a single value.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// for (x in Iter.singleton(3))\n /// sum += x;\n /// assert sum == 3;\n /// ```\n public func singleton(value : T) : Iter {\n object {\n var state = ?value;\n public func next() : ?T {\n switch state {\n case null null;\n case some {\n state := null;\n some\n }\n }\n }\n }\n };\n\n /// Calls a function `f` on every value produced by an iterator and discards\n /// the results. If you're looking to keep these results use `map` instead.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// Iter.forEach([1, 2, 3].values(), func(x) {\n /// sum += x;\n /// });\n /// assert sum == 6;\n /// ```\n public func forEach(\n self : Iter,\n f : (T) -> ()\n ) {\n label l loop {\n switch (self.next()) {\n case (?next) {\n f(next)\n };\n case (null) {\n break l\n }\n }\n }\n };\n\n /// Takes an iterator and returns a new iterator that pairs each element with its index.\n /// The index starts at 0 and increments by 1 for each element.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([\"A\", \"B\", \"C\"]);\n /// let enumerated = Iter.enumerate(iter);\n /// let result = Iter.toArray(enumerated);\n /// assert result == [(0, \"A\"), (1, \"B\"), (2, \"C\")];\n /// ```\n public func enumerate(self : Iter) : Iter<(Nat, T)> {\n object {\n var i = 0;\n public func next() : ?(Nat, T) {\n switch (self.next()) {\n case (?x) {\n let current = (i, x);\n i += 1;\n ?current\n };\n case null { null }\n }\n }\n }\n };\n\n /// Creates a new iterator that yields every nth element from the original iterator.\n /// If `interval` is 0, returns an empty iterator. If `interval` is 1, returns the original iterator.\n /// For any other positive interval, returns an iterator that skips `interval - 1` elements after each yielded element.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5, 6]);\n /// let steppedIter = Iter.step(iter, 2); // Take every 2nd element\n /// assert ?1 == steppedIter.next();\n /// assert ?3 == steppedIter.next();\n /// assert ?5 == steppedIter.next();\n /// assert null == steppedIter.next();\n /// ```\n public func step(self : Iter, n : Nat) : Iter {\n if (n == 0) {\n empty()\n } else if (n == 1) {\n self\n } else {\n object {\n public func next() : ?T {\n let item = self.next();\n var i = 1;\n while (i < n) {\n ignore self.next();\n i += 1\n };\n item\n }\n }\n }\n };\n\n /// Consumes an iterator and counts how many elements were produced (discarding them in the process).\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// assert 3 == Iter.size(iter);\n /// ```\n public func size(self : Iter) : Nat {\n var len = 0;\n forEach(self, func(x) { len += 1 });\n len\n };\n\n /// Takes a function and an iterator and returns a new iterator that lazily applies\n /// the function to every element produced by the argument iterator.\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// let mappedIter = Iter.map(iter, func (x) = x * 2);\n /// let result = Iter.toArray(mappedIter);\n /// assert result == [2, 4, 6];\n /// ```\n public func map(self : Iter, f : T -> R) : Iter = object {\n public func next() : ?R {\n switch (self.next()) {\n case (?next) {\n ?f(next)\n };\n case (null) {\n null\n }\n }\n }\n };\n\n /// Creates a new iterator that only includes elements from the original iterator\n /// for which the predicate function returns true.\n ///\n /// ```motoko include=import\n /// let iter = [1, 2, 3, 4, 5].values();\n /// let evenNumbers = Iter.filter(iter, func (x) = x % 2 == 0);\n /// let result = Iter.toArray(evenNumbers);\n /// assert result == [2, 4];\n /// ```\n public func filter(self : Iter, f : T -> Bool) : Iter = object {\n public func next() : ?T {\n loop {\n let ?x = self.next() else return null;\n if (f x) return ?x\n };\n null\n }\n };\n\n /// Creates a new iterator by applying a transformation function to each element\n /// of the original iterator. Elements for which the function returns null are\n /// excluded from the result.\n ///\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// let evenNumbers = Iter.filterMap(iter, func (x) = if (x % 2 == 0) ?x else null);\n /// let result = Iter.toArray(evenNumbers);\n /// assert result == [2];\n /// ```\n public func filterMap(self : Iter, f : T -> ?R) : Iter = object {\n public func next() : ?R {\n loop {\n let ?x = self.next() else return null;\n switch (f x) {\n case (?r) return ?r;\n case null {} // continue\n }\n }\n }\n };\n\n /// Flattens an iterator of iterators into a single iterator by concatenating the inner iterators.\n ///\n /// Possible optimization: Use `flatMap` when you need to transform elements before calling `flatten`. Example: use `flatMap(...)` instead of `flatten(map(...))`.\n /// ```motoko include=import\n /// let iter = Iter.flatten([[1, 2].values(), [3].values(), [4, 5, 6].values()].values());\n /// let result = Iter.toArray(iter);\n /// assert result == [1, 2, 3, 4, 5, 6];\n /// ```\n public func flatten(self : Iter>) : Iter = object {\n var current : Iter = empty();\n public func next() : ?T {\n loop {\n switch (current.next()) {\n case (?x) return ?x;\n case null {\n let ?next = self.next() else return null;\n current := next\n }\n }\n }\n }\n };\n\n /// Transforms every element of an iterator into an iterator and concatenates the results.\n /// ```motoko include=import\n /// let iter = Iter.flatMap([1, 3, 5].values(), func (x) = [x, x + 1].values());\n /// let result = Iter.toArray(iter);\n /// assert result == [1, 2, 3, 4, 5, 6];\n /// ```\n public func flatMap(self : Iter, f : T -> Iter) : Iter = object {\n var current : Iter = empty();\n public func next() : ?R {\n loop {\n switch (current.next()) {\n case (?x) return ?x;\n case null {\n let ?next = self.next() else return null;\n current := f(next)\n }\n }\n }\n }\n };\n\n /// Returns a new iterator that yields at most, first `n` elements from the original iterator.\n /// After `n` elements have been produced or the original iterator is exhausted,\n /// subsequent calls to `next()` will return `null`.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5]);\n /// let first3 = Iter.take(iter, 3);\n /// let result = Iter.toArray(first3);\n /// assert result == [1, 2, 3];\n /// ```\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3]);\n /// let first5 = Iter.take(iter, 5);\n /// let result = Iter.toArray(first5);\n /// assert result == [1, 2, 3]; // only 3 elements in the original iterator\n /// ```\n public func take(self : Iter, n : Nat) : Iter = object {\n var remaining = n;\n public func next() : ?T {\n if (remaining == 0) return null;\n remaining -= 1;\n self.next()\n }\n };\n\n /// Returns a new iterator that yields elements from the original iterator until the predicate function returns false.\n /// The first element for which the predicate returns false is not included in the result.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5, 4, 3, 2, 1]);\n /// let result = Iter.takeWhile(iter, func (x) = x < 4);\n /// let array = Iter.toArray(result);\n /// assert array == [1, 2, 3]; // note the difference between `takeWhile` and `filter`\n /// ```\n public func takeWhile(self : Iter, f : T -> Bool) : Iter = object {\n var done = false;\n public func next() : ?T {\n if done return null;\n let ?x = self.next() else return null;\n if (f x) return ?x;\n done := true;\n null\n }\n };\n\n /// Returns a new iterator that skips the first `n` elements from the original iterator.\n /// If the original iterator has fewer than `n` elements, the result will be an empty iterator.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5]);\n /// let skipped = Iter.drop(iter, 3);\n /// let result = Iter.toArray(skipped);\n /// assert result == [4, 5];\n /// ```\n public func drop(self : Iter, n : Nat) : Iter = object {\n var remaining = n;\n public func next() : ?T {\n while (remaining > 0) {\n let ?_ = self.next() else return null;\n remaining -= 1\n };\n self.next()\n }\n };\n\n /// Returns a new iterator that skips elements from the original iterator until the predicate function returns false.\n /// The first element for which the predicate returns false is the first element produced by the new iterator.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5, 4, 3, 2, 1]);\n /// let result = Iter.dropWhile(iter, func (x) = x < 4);\n /// let array = Iter.toArray(result);\n /// assert array == [4, 5, 4, 3, 2, 1]; // notice that `takeWhile` and `dropWhile` are complementary\n /// ```\n public func dropWhile(self : Iter, f : T -> Bool) : Iter = object {\n var dropping = true;\n public func next() : ?T {\n while dropping {\n let ?x = self.next() else return null;\n if (not f x) {\n dropping := false;\n return ?x\n }\n };\n self.next()\n }\n };\n\n /// Zips two iterators into a single iterator that produces pairs of elements.\n /// The resulting iterator will stop producing elements when either of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [1, 2, 3].values();\n /// let iter2 = [\"A\", \"B\"].values();\n /// let zipped = Iter.zip(iter1, iter2);\n /// let result = Iter.toArray(zipped);\n /// assert result == [(1, \"A\"), (2, \"B\")]; // note that the third element from iter1 is not included, because iter2 is exhausted\n /// ```\n public func zip(self : Iter, other : Iter) : Iter<(A, B)> = object {\n public func next() : ?(A, B) {\n let ?x = self.next() else return null;\n let ?y = other.next() else return null;\n ?(x, y)\n }\n };\n\n /// Zips three iterators into a single iterator that produces triples of elements.\n /// The resulting iterator will stop producing elements when any of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [\"A\", \"B\"].values();\n /// let iter2 = [\"1\", \"2\", \"3\"].values();\n /// let iter3 = [\"x\", \"y\", \"z\", \"xd\"].values();\n /// let zipped = Iter.zip3(iter1, iter2, iter3);\n /// let result = Iter.toArray(zipped);\n /// assert result == [(\"A\", \"1\", \"x\"), (\"B\", \"2\", \"y\")]; // note that the unmatched elements from iter2 and iter3 are not included\n /// ```\n public func zip3(self : Iter, other1 : Iter, other2 : Iter) : Iter<(A, B, C)> = object {\n public func next() : ?(A, B, C) {\n let ?x = self.next() else return null;\n let ?y = other1.next() else return null;\n let ?z = other2.next() else return null;\n ?(x, y, z)\n }\n };\n\n /// Zips two iterators into a single iterator by applying a function to zipped pairs of elements.\n /// The resulting iterator will stop producing elements when either of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [\"A\", \"B\"].values();\n /// let iter2 = [\"1\", \"2\", \"3\"].values();\n /// let zipped = Iter.zipWith(iter1, iter2, func (a, b) = a # b);\n /// let result = Iter.toArray(zipped);\n /// assert result == [\"A1\", \"B2\"]; // note that the third element from iter2 is not included, because iter1 is exhausted\n /// ```\n public func zipWith(self : Iter, other : Iter, f : (A, B) -> R) : Iter = object {\n public func next() : ?R {\n let ?x = self.next() else return null;\n let ?y = other.next() else return null;\n ?f(x, y)\n }\n };\n\n /// Zips three iterators into a single iterator by applying a function to zipped triples of elements.\n /// The resulting iterator will stop producing elements when any of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [\"A\", \"B\"].values();\n /// let iter2 = [\"1\", \"2\", \"3\"].values();\n /// let iter3 = [\"x\", \"y\", \"z\", \"xd\"].values();\n /// let zipped = Iter.zipWith3(iter1, iter2, iter3, func (a, b, c) = a # b # c);\n /// let result = Iter.toArray(zipped);\n /// assert result == [\"A1x\", \"B2y\"]; // note that the unmatched elements from iter2 and iter3 are not included\n /// ```\n public func zipWith3(self : Iter, other1 : Iter, other2 : Iter, f : (A, B, C) -> R) : Iter = object {\n public func next() : ?R {\n let ?x = self.next() else return null;\n let ?y = other1.next() else return null;\n let ?z = other2.next() else return null;\n ?f(x, y, z)\n }\n };\n\n /// Checks if a predicate function is true for all elements produced by an iterator.\n /// It stops consuming elements from the original iterator as soon as the predicate returns false.\n ///\n /// ```motoko include=import\n /// assert Iter.all([1, 2, 3].values(), func (x) = x < 4);\n /// assert not Iter.all([1, 2, 3].values(), func (x) = x < 3);\n /// ```\n public func all(self : Iter, f : T -> Bool) : Bool {\n for (x in self) {\n if (not f x) return false\n };\n true\n };\n\n /// Checks if a predicate function is true for any element produced by an iterator.\n /// It stops consuming elements from the original iterator as soon as the predicate returns true.\n ///\n /// ```motoko include=import\n /// assert Iter.any([1, 2, 3].values(), func (x) = x == 2);\n /// assert not Iter.any([1, 2, 3].values(), func (x) = x == 4);\n /// ```\n public func any(self : Iter, f : T -> Bool) : Bool {\n for (x in self) {\n if (f x) return true\n };\n false\n };\n\n /// Finds the first element produced by an iterator for which a predicate function returns true.\n /// Returns `null` if no such element is found.\n /// It stops consuming elements from the original iterator as soon as the predicate returns true.\n ///\n /// ```motoko include=import\n /// let iter = [1, 2, 3, 4].values();\n /// assert ?2 == Iter.find(iter, func (x) = x % 2 == 0);\n /// ```\n public func find(self : Iter, f : T -> Bool) : ?T {\n for (x in self) {\n if (f x) return ?x\n };\n null\n };\n\n /// Returns the first index in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let iter = ['A', 'B', 'C', 'D'].values();\n /// let found = Iter.findIndex(iter, func(x) { x == 'C' });\n /// assert found == ?2;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : Iter, predicate : T -> Bool) : ?Nat {\n for ((index, element) in enumerate(self)) {\n if (predicate element) {\n return ?index\n }\n };\n null\n };\n\n /// Checks if an element is produced by an iterator.\n /// It stops consuming elements from the original iterator as soon as the predicate returns true.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3, 4].values();\n /// assert Iter.contains(iter, Nat.equal, 2);\n /// ```\n public func contains(self : Iter, equal : (implicit : (T, T) -> Bool), value : T) : Bool {\n for (x in self) {\n if (equal(x, value)) return true\n };\n false\n };\n\n /// Reduces an iterator to a single value by applying a function to each element and an accumulator.\n /// The accumulator is initialized with the `initial` value.\n /// It starts applying the `combine` function starting from the `initial` accumulator value and the first elements produced by the iterator.\n ///\n /// ```motoko include=import\n /// let iter = [\"A\", \"B\", \"C\"].values();\n /// let result = Iter.foldLeft(iter, \"S\", func (acc, x) = \"(\" # acc # x # \")\");\n /// assert result == \"(((SA)B)C)\";\n /// ```\n public func foldLeft(self : Iter, initial : R, combine : (R, T) -> R) : R {\n var acc = initial;\n for (x in self) {\n acc := combine(acc, x)\n };\n acc\n };\n\n /// Reduces an iterator to a single value by applying a function to each element in reverse order and an accumulator.\n /// The accumulator is initialized with the `initial` value and it is first combined with the last element produced by the iterator.\n /// It starts applying the `combine` function starting from the last elements produced by the iterator.\n ///\n /// **Performance note**: Since this function needs to consume the entire iterator to reverse it,\n /// it has to materialize the entire iterator in memory to get to the last element to start applying the `combine` function.\n /// **Use `foldLeft` or `reduce` when possible to avoid the extra memory overhead**.\n ///\n /// ```motoko include=import\n /// let iter = [\"A\", \"B\", \"C\"].values();\n /// let result = Iter.foldRight(iter, \"S\", func (x, acc) = \"(\" # x # acc # \")\");\n /// assert result == \"(A(B(CS)))\";\n /// ```\n public func foldRight(self : Iter, initial : R, combine : (T, R) -> R) : R {\n foldLeft(reverse(self), initial, func(acc, x) = combine(x, acc))\n };\n\n /// Reduces an iterator to a single value by applying a function to each element, starting with the first elements.\n /// The accumulator is initialized with the first element produced by the iterator.\n /// When the iterator is empty, it returns `null`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// assert ?6 == Iter.reduce(iter, Nat.add);\n /// ```\n public func reduce(self : Iter, combine : (T, T) -> T) : ?T {\n let ?first = self.next() else return null;\n ?foldLeft(self, first, combine)\n };\n\n /// Produces an iterator containing cumulative results of applying the `combine` operator going left to right, including the `initial` value.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// let scanned = Iter.scanLeft(iter, 0, Nat.add);\n /// let result = Iter.toArray(scanned);\n /// assert result == [0, 1, 3, 6];\n /// ```\n public func scanLeft(self : Iter, initial : R, combine : (R, T) -> R) : Iter = object {\n var acc = initial;\n var isInitial = true;\n public func next() : ?R {\n if (isInitial) {\n isInitial := false;\n return ?acc\n };\n switch (self.next()) {\n case (?x) {\n acc := combine(acc, x);\n ?acc\n };\n case null null\n }\n }\n };\n\n /// Produces an iterator containing cumulative results of applying the `combine` operator going right to left, including the `initial` value.\n ///\n /// **Performance note**: Since this function needs to consume the entire iterator to reverse it,\n /// it has to materialize the entire iterator in memory to get to the last element to start applying the `combine` function.\n /// **Use `scanLeft` when possible to avoid the extra memory overhead**.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// let scanned = Iter.scanRight(iter, 0, Nat.add);\n /// let result = Iter.toArray(scanned);\n /// assert result == [0, 3, 5, 6];\n /// ```\n public func scanRight(self : Iter, initial : R, combine : (T, R) -> R) : Iter {\n scanLeft(reverse(self), initial, func(x, acc) = combine(acc, x))\n };\n\n /// Creates an iterator that produces elements using the `step` function starting from the `initial` value.\n /// The `step` function takes the current state and returns the next element and the next state, or `null` if the iteration is finished.\n ///\n /// ```motoko include=import\n /// let iter = Iter.unfold(1, func (x) = if (x <= 3) ?(x, x + 1) else null);\n /// let result = Iter.toArray(iter);\n /// assert result == [1, 2, 3];\n /// ```\n public func unfold(initial : S, step : S -> ?(T, S)) : Iter = object {\n var state = initial;\n public func next() : ?T {\n let ?(t, next) = step(state) else return null;\n state := next;\n ?t\n }\n };\n\n // todo: unfold, iterate, cycle, range, rangeStep, rangeStepTo, rangeStepToExclusive\n\n /// Consumes an iterator and returns the first maximum element produced by the iterator.\n /// If the iterator is empty, it returns `null`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// assert ?3 == Iter.max(iter, Nat.compare);\n /// ```\n public func max(self : Iter, compare : (implicit : (T, T) -> Order.Order)) : ?T {\n reduce(\n self,\n func(a, b) {\n switch (compare(a, b)) {\n case (#less) b;\n case _ a\n }\n }\n )\n };\n\n /// Consumes an iterator and returns the first minimum element produced by the iterator.\n /// If the iterator is empty, it returns `null`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// assert ?1 == Iter.min(iter, Nat.compare);\n /// ```\n public func min(self : Iter, compare : (implicit : (T, T) -> Order.Order)) : ?T {\n reduce(\n self,\n func(a, b) {\n switch (compare(a, b)) {\n case (#greater) b;\n case _ a\n }\n }\n )\n };\n\n /// Creates an iterator that produces an infinite sequence of `x`.\n /// ```motoko include=import\n /// let iter = Iter.infinite(10);\n /// assert ?10 == iter.next();\n /// assert ?10 == iter.next();\n /// assert ?10 == iter.next();\n /// // ...\n /// ```\n public func infinite(item : T) : Iter = object {\n public func next() : ?T {\n ?item\n }\n };\n\n /// Takes two iterators and returns a new iterator that produces\n /// elements from the original iterators sequentally.\n /// ```motoko include=import\n /// let iter1 = [1, 2].values();\n /// let iter2 = [5, 6, 7].values();\n /// let concatenatedIter = Iter.concat(iter1, iter2);\n /// let result = Iter.toArray(concatenatedIter);\n /// assert result == [1, 2, 5, 6, 7];\n /// ```\n public func concat(self : Iter, other : Iter) : Iter {\n var aEnded : Bool = false;\n object {\n public func next() : ?T {\n if (aEnded) {\n return other.next()\n };\n switch (self.next()) {\n case (?x) ?x;\n case (null) {\n aEnded := true;\n other.next()\n }\n }\n }\n }\n };\n\n /// Creates an iterator that produces the elements of an Array in ascending index order.\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3]);\n /// assert ?1 == iter.next();\n /// assert ?2 == iter.next();\n /// assert ?3 == iter.next();\n /// assert null == iter.next();\n /// ```\n /// @deprecated M0235\n public func fromArray(array : [T]) : Iter = array.vals();\n\n /// Like `fromArray` but for Arrays with mutable elements. Captures\n /// the elements of the Array at the time the iterator is created, so\n /// further modifications won't be reflected in the iterator.\n /// @deprecated M0235\n public func fromVarArray(array : [var T]) : Iter = array.vals();\n\n /// Consumes an iterator and collects its produced elements in an Array.\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// assert [1, 2, 3] == Iter.toArray(iter);\n /// ```\n public func toArray(self : Iter) : [T] {\n // TODO: Replace implementation. This is just temporay.\n type Node = { value : T; var next : ?Node };\n var first : ?Node = null;\n var last : ?Node = null;\n var count = 0;\n\n func add(value : T) {\n let node : Node = { value; var next = null };\n switch (last) {\n case null {\n first := ?node\n };\n case (?previous) {\n previous.next := ?node\n }\n };\n last := ?node;\n count += 1\n };\n\n for (value in self) {\n add(value)\n };\n if (count == 0) {\n return []\n };\n var current = first;\n Prim.Array_tabulate(\n count,\n func(_) {\n switch (current) {\n case null Runtime.trap(\"Iter.toArray(): node must not be null\");\n case (?node) {\n current := node.next;\n node.value\n }\n }\n }\n )\n };\n\n /// Like `toArray` but for Arrays with mutable elements.\n public func toVarArray(self : Iter) : [var T] {\n Array.toVarArray(toArray(self))\n };\n\n /// Sorted iterator. Will iterate over *all* elements to sort them, necessarily.\n public func sort(self : Iter, compare : (implicit : (T, T) -> Order.Order)) : Iter {\n let array = toVarArray(self);\n VarArray.sortInPlace(array, compare);\n fromVarArray(array)\n };\n\n /// Creates an iterator that produces a given item a specified number of times.\n /// ```motoko include=import\n /// let iter = Iter.repeat(3, 2);\n /// assert ?3 == iter.next();\n /// assert ?3 == iter.next();\n /// assert null == iter.next();\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func repeat(item : T, count : Nat) : Iter = object {\n var remaining = count;\n public func next() : ?T {\n if (remaining == 0) {\n null\n } else {\n remaining -= 1;\n ?item\n }\n }\n };\n\n /// Creates a new iterator that produces elements from the original iterator in reverse order.\n /// Note: This function needs to consume the entire iterator to reverse it.\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3]);\n /// let reversed = Iter.reverse(iter);\n /// assert ?3 == reversed.next();\n /// assert ?2 == reversed.next();\n /// assert ?1 == reversed.next();\n /// assert null == reversed.next();\n /// ```\n ///\n /// Runtime: O(n) where n is the number of elements in the iterator\n ///\n /// Space: O(n) where n is the number of elements in the iterator\n public func reverse(self : Iter) : Iter {\n var acc : Types.Pure.List = null;\n for (x in self) {\n acc := ?(x, acc)\n };\n object {\n public func next() : ?T {\n switch acc {\n case null null;\n case (?(h, t)) {\n acc := t;\n ?h\n }\n }\n }\n }\n };\n\n}\n"},"Tuples.mo":{"content":"/// Contains modules for working with tuples of different sizes.\n///\n/// Usage example:\n///\n/// ```motoko\n/// import { Tuple2; Tuple3 } \"mo:core/Tuples\";\n/// import Bool \"mo:core/Bool\";\n/// import Nat \"mo:core/Nat\";\n///\n/// let swapped = Tuple2.swap((1, \"hello\"));\n/// assert swapped == (\"hello\", 1);\n/// let text = Tuple3.toText((1, true, 3), Nat.toText, Bool.toText, Nat.toText);\n/// assert text == \"(1, true, 3)\";\n/// ```\n\nimport Types \"Types\";\n\nmodule {\n\n public module Tuple2 {\n /// Swaps the elements of a tuple.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// assert Tuple2.swap((1, \"hello\")) == (\"hello\", 1);\n /// ```\n public func swap((a, b) : (A, B)) : (B, A) = (b, a);\n\n /// Creates a textual representation of a tuple for debugging purposes.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// assert Tuple2.toText((1, \"hello\"), Nat.toText, func (x: Text): Text = x) == \"(1, hello)\";\n /// ```\n public func toText(\n self : (A, B),\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text))\n ) : Text = \"(\" # toTextA(self.0) # \", \" # toTextB(self.1) # \")\";\n\n /// Compares two tuples for equality.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple2.equal((1, \"hello\"), (1, \"hello\"), Nat.equal, Text.equal);\n /// ```\n public func equal(\n self : (A, B),\n other : (A, B),\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool))\n ) : Bool = equalA(self.0, other.0) and equalB(self.1, other.1);\n\n /// Compares two tuples lexicographically.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple2.compare((1, \"hello\"), (1, \"world\"), Nat.compare, Text.compare) == #less;\n /// assert Tuple2.compare((1, \"hello\"), (2, \"hello\"), Nat.compare, Text.compare) == #less;\n /// assert Tuple2.compare((1, \"hello\"), (1, \"hello\"), Nat.compare, Text.compare) == #equal;\n /// assert Tuple2.compare((2, \"hello\"), (1, \"hello\"), Nat.compare, Text.compare) == #greater;\n /// assert Tuple2.compare((1, \"world\"), (1, \"hello\"), Nat.compare, Text.compare) == #greater;\n /// ```\n public func compare(\n self : (A, B),\n other : (A, B),\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order))\n ) : Types.Order = switch (compareA(self.0, other.0)) {\n case (#equal) compareB(self.1, other.1);\n case order order\n };\n\n /// Creates a `toText` function for a tuple given `toText` functions for its elements.\n /// This is useful when you need to reuse the same toText conversion multiple times.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let tupleToText = Tuple2.makeToText(Nat.toText, func x = x);\n /// assert tupleToText((1, \"hello\")) == \"(1, hello)\";\n /// ```\n public func makeToText(\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text))\n ) : ((A, B)) -> Text = func t = toText(t, toTextA, toTextB);\n\n /// Creates an `equal` function for a tuple given `equal` functions for its elements.\n /// This is useful when you need to reuse the same equality comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let tupleEqual = Tuple2.makeEqual(Nat.equal, Text.equal);\n /// assert tupleEqual((1, \"hello\"), (1, \"hello\"));\n /// ```\n public func makeEqual(\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool))\n ) : ((A, B), (A, B)) -> Bool = func(t1, t2) = equal(t1, t2, equalA, equalB);\n\n /// Creates a `compare` function for a tuple given `compare` functions for its elements.\n /// This is useful when you need to reuse the same comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let tupleCompare = Tuple2.makeCompare(Nat.compare, Text.compare);\n /// assert tupleCompare((1, \"hello\"), (1, \"world\")) == #less;\n /// ```\n public func makeCompare(\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order))\n ) : ((A, B), (A, B)) -> Types.Order = func(t1, t2) = compare(t1, t2, compareA, compareB)\n };\n\n public module Tuple3 {\n /// Creates a textual representation of a 3-tuple for debugging purposes.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// assert Tuple3.toText((1, \"hello\", 2), Nat.toText, func (x: Text): Text = x, Nat.toText) == \"(1, hello, 2)\";\n /// ```\n public func toText(\n self : (A, B, C),\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text))\n ) : Text = \"(\" # toTextA(self.0) # \", \" # toTextB(self.1) # \", \" # toTextC(self.2) # \")\";\n\n /// Compares two 3-tuples for equality.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple3.equal((1, \"hello\", 2), (1, \"hello\", 2), Nat.equal, Text.equal, Nat.equal);\n /// ```\n public func equal(\n self : (A, B, C),\n other : (A, B, C),\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool))\n ) : Bool = equalA(self.0, other.0) and equalB(self.1, other.1) and equalC(self.2, other.2);\n\n /// Compares two 3-tuples lexicographically.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple3.compare((1, \"hello\", 2), (1, \"world\", 1), Nat.compare, Text.compare, Nat.compare) == #less;\n /// assert Tuple3.compare((1, \"hello\", 2), (2, \"hello\", 2), Nat.compare, Text.compare, Nat.compare) == #less;\n /// assert Tuple3.compare((1, \"hello\", 2), (1, \"hello\", 2), Nat.compare, Text.compare, Nat.compare) == #equal;\n /// assert Tuple3.compare((2, \"hello\", 2), (1, \"hello\", 2), Nat.compare, Text.compare, Nat.compare) == #greater;\n /// ```\n public func compare(\n self : (A, B, C),\n other : (A, B, C),\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order))\n ) : Types.Order = switch (compareA(self.0, other.0)) {\n case (#equal) {\n switch (compareB(self.1, other.1)) {\n case (#equal) compareC(self.2, other.2);\n case order order\n }\n };\n case order order\n };\n\n /// Creates a `toText` function for a 3-tuple given `toText` functions for its elements.\n /// This is useful when you need to reuse the same toText conversion multiple times.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// let toText = Tuple3.makeToText(Nat.toText, func x = x, Nat.toText);\n /// assert toText((1, \"hello\", 2)) == \"(1, hello, 2)\";\n /// ```\n public func makeToText(\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text))\n ) : ((A, B, C)) -> Text = func t = toText(t, toTextA, toTextB, toTextC);\n\n /// Creates an `equal` function for a 3-tuple given `equal` functions for its elements.\n /// This is useful when you need to reuse the same equality comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let equal = Tuple3.makeEqual(Nat.equal, Text.equal, Nat.equal);\n /// assert equal((1, \"hello\", 2), (1, \"hello\", 2));\n /// ```\n public func makeEqual(\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool))\n ) : ((A, B, C), (A, B, C)) -> Bool = func(t1, t2) = equal(t1, t2, equalA, equalB, equalC);\n\n /// Creates a `compare` function for a 3-tuple given `compare` functions for its elements.\n /// This is useful when you need to reuse the same comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let compare = Tuple3.makeCompare(Nat.compare, Text.compare, Nat.compare);\n /// assert compare((1, \"hello\", 2), (1, \"world\", 1)) == #less;\n /// ```\n public func makeCompare(\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order))\n ) : ((A, B, C), (A, B, C)) -> Types.Order = func(t1, t2) = compare(t1, t2, compareA, compareB, compareC)\n };\n\n public module Tuple4 {\n /// Creates a textual representation of a 4-tuple for debugging purposes.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// assert Tuple4.toText((1, \"hello\", 2, 3), Nat.toText, func (x: Text): Text = x, Nat.toText, Nat.toText) == \"(1, hello, 2, 3)\";\n /// ```\n public func toText(\n self : (A, B, C, D),\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text)),\n toTextD : (implicit : (toText : D -> Text))\n ) : Text = \"(\" # toTextA(self.0) # \", \" # toTextB(self.1) # \", \" # toTextC(self.2) # \", \" # toTextD(self.3) # \")\";\n\n /// Compares two 4-tuples for equality.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple4.equal((1, \"hello\", 2, 3), (1, \"hello\", 2, 3), Nat.equal, Text.equal, Nat.equal, Nat.equal);\n /// ```\n public func equal(\n self : (A, B, C, D),\n other : (A, B, C, D),\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool)),\n equalD : (implicit : (equal : (D, D) -> Bool))\n ) : Bool = equalA(self.0, other.0) and equalB(self.1, other.1) and equalC(self.2, other.2) and equalD(self.3, other.3);\n\n /// Compares two 4-tuples lexicographically.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple4.compare((1, \"hello\", 2, 3), (1, \"world\", 1, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #less;\n /// assert Tuple4.compare((1, \"hello\", 2, 3), (2, \"hello\", 2, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #less;\n /// assert Tuple4.compare((1, \"hello\", 2, 3), (1, \"hello\", 2, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #equal;\n /// assert Tuple4.compare((2, \"hello\", 2, 3), (1, \"hello\", 2, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #greater;\n /// ```\n public func compare(\n self : (A, B, C, D),\n other : (A, B, C, D),\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order)),\n compareD : (implicit : (compare : (D, D) -> Types.Order))\n ) : Types.Order = switch (compareA(self.0, other.0)) {\n case (#equal) {\n switch (compareB(self.1, other.1)) {\n case (#equal) {\n switch (compareC(self.2, other.2)) {\n case (#equal) compareD(self.3, other.3);\n case order order\n }\n };\n case order order\n }\n };\n case order order\n };\n\n /// Creates a `toText` function for a 4-tuple given `toText` functions for its elements.\n /// This is useful when you need to reuse the same toText conversion multiple times.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// let toText = Tuple4.makeToText(Nat.toText, func (x: Text): Text = x, Nat.toText, Nat.toText);\n /// assert toText((1, \"hello\", 2, 3)) == \"(1, hello, 2, 3)\";\n /// ```\n public func makeToText(\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text)),\n toTextD : (implicit : (toText : D -> Text))\n ) : ((A, B, C, D)) -> Text = func t = toText(t, toTextA, toTextB, toTextC, toTextD);\n\n /// Creates an `equal` function for a 4-tuple given `equal` functions for its elements.\n /// This is useful when you need to reuse the same equality comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let equal = Tuple4.makeEqual(Nat.equal, Text.equal, Nat.equal, Nat.equal);\n /// assert equal((1, \"hello\", 2, 3), (1, \"hello\", 2, 3));\n /// ```\n public func makeEqual(\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool)),\n equalD : (implicit : (equal : (D, D) -> Bool))\n ) : ((A, B, C, D), (A, B, C, D)) -> Bool = func(t1, t2) = equal(t1, t2, equalA, equalB, equalC, equalD);\n\n /// Creates a `compare` function for a 4-tuple given `compare` functions for its elements.\n /// This is useful when you need to reuse the same comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let compare = Tuple4.makeCompare(Nat.compare, Text.compare, Nat.compare, Nat.compare);\n /// assert compare((1, \"hello\", 2, 3), (1, \"world\", 1, 3)) == #less;\n /// ```\n public func makeCompare(\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order)),\n compareD : (implicit : (compare : (D, D) -> Types.Order))\n ) : ((A, B, C, D), (A, B, C, D)) -> Types.Order = func(t1, t2) = compare(t1, t2, compareA, compareB, compareC, compareD)\n }\n}\n"},"Nat8.mo":{"content":"/// Utility functions on 8-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat8 \"mo:core/Nat8\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 8-bit natural numbers.\n public type Nat8 = Prim.Types.Nat8;\n\n /// Maximum 8-bit natural number. `2 ** 8 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.maxValue == (255 : Nat8);\n /// ```\n public let maxValue : Nat8 = 255;\n\n /// Converts an 8-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat8) -> Nat = Prim.nat8ToNat;\n\n /// Converts an unsigned integer with infinite precision to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat(123) == (123 : Nat8);\n /// ```\n public let fromNat : Nat -> Nat8 = Prim.natToNat8;\n\n /// Converts a 16-bit unsigned integer to a 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat16(123) == (123 : Nat8);\n /// ```\n public let fromNat16 : Nat16 -> Nat8 = Prim.nat16ToNat8;\n\n /// Converts an 8-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat16(123) == (123 : Nat16);\n /// ```\n public let toNat16 : (self : Nat8) -> Nat16 = Prim.nat8ToNat16;\n\n /// Converts a 32-bit unsigned integer to a 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat32(123) == (123 : Nat8);\n /// ```\n public func fromNat32(x : Nat32) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(x))\n };\n\n /// Converts an 8-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat32(123) == (123 : Nat32);\n /// ```\n public func toNat32(self : Nat8) : Nat32 {\n Prim.nat16ToNat32(Prim.nat8ToNat16(self))\n };\n\n /// Converts a 64-bit unsigned integer to a 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat64(123) == (123 : Nat8);\n /// ```\n public func fromNat64(x : Nat64) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(Prim.nat64ToNat32(x)))\n };\n\n /// Converts an 8-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat64(123) == (123 : Nat64);\n /// ```\n public func toNat64(self : Nat8) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(Prim.nat8ToNat16(self)))\n };\n\n /// Converts a signed integer with infinite precision to an 8-bit unsigned integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromIntWrap(123) == (123 : Nat8);\n /// ```\n public let fromIntWrap : Int -> Nat8 = Prim.intToNat8Wrap;\n\n /// Converts `x` to its textual representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toText(123) == (\"123\" : Text);\n /// ```\n public func toText(self : Nat8) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.min(123, 200) == (123 : Nat8);\n /// ```\n public func min(x : Nat8, y : Nat8) : Nat8 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.max(123, 200) == (200 : Nat8);\n /// ```\n public func max(x : Nat8, y : Nat8) : Nat8 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat8 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.equal(1, 1);\n /// assert (1 : Nat8) == (1 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat8 = 111;\n /// let b : Nat8 = 222;\n /// assert not Nat8.equal(a, b);\n /// ```\n public func equal(x : Nat8, y : Nat8) : Bool { x == y };\n\n /// Inequality function for Nat8 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.notEqual(1, 2);\n /// assert (1 : Nat8) != (2 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat8, y : Nat8) : Bool { x != y };\n\n /// \"Less than\" function for Nat8 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.less(1, 2);\n /// assert (1 : Nat8) < (2 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat8, y : Nat8) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat8 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.lessOrEqual(1, 2);\n /// assert 1 <= 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat8, y : Nat8) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat8 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.greater(2, 1);\n /// assert (2 : Nat8) > (1 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat8, y : Nat8) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat8 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.greaterOrEqual(2, 1);\n /// assert (2 : Nat8) >= (1 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat8, y : Nat8) : Bool { x >= y };\n\n /// General purpose comparison function for `Nat8`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat8], Nat8.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat8, y : Nat8) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.add(1, 2) == 3;\n /// assert (1 : Nat8) + (2 : Nat8) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat8.add) == 6;\n /// ```\n public func add(x : Nat8, y : Nat8) : Nat8 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.sub(2, 1) == 1;\n /// assert (2 : Nat8) - (1 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 20, Nat8.sub) == 14;\n /// ```\n public func sub(x : Nat8, y : Nat8) : Nat8 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.mul(2, 3) == 6;\n /// assert (2 : Nat8) * (3 : Nat8) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat8.mul) == 6;\n /// ```\n public func mul(x : Nat8, y : Nat8) : Nat8 { x * y };\n\n /// Returns the quotient of `x` divided by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.div(6, 2) == 3;\n /// assert (6 : Nat8) / (2 : Nat8) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat8, y : Nat8) : Nat8 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.rem(6, 4) == 2;\n /// assert (6 : Nat8) % (4 : Nat8) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat8, y : Nat8) : Nat8 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.pow(2, 3) == 8;\n /// assert (2 : Nat8) ** (3 : Nat8) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat8, y : Nat8) : Nat8 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitnot(0) == 255;\n /// assert ^(0 : Nat8) == 255;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat8) : Nat8 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitand(3, 2) == 2;\n /// assert (3 : Nat8) & (2 : Nat8) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat8, y : Nat8) : Nat8 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitor(3, 2) == 3;\n /// assert (3 : Nat8) | (2 : Nat8) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Nat8, y : Nat8) : Nat8 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitxor(3, 2) == 1;\n /// assert (3 : Nat8) ^ (2 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Nat8, y : Nat8) : Nat8 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitshiftLeft(1, 2) == 4;\n /// assert (1 : Nat8) << (2 : Nat8) == 4;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat8, y : Nat8) : Nat8 { x << y };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitshiftRight(4, 2) == 1;\n /// assert (4 : Nat8) >> (2 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat8, y : Nat8) : Nat8 { x >> y };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitrotLeft(128, 1) == 1;\n /// assert (128 : Nat8) <<> (1 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat8, y : Nat8) : Nat8 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitrotRight(1, 1) == 128;\n /// assert (1 : Nat8) <>> (1 : Nat8) == 128;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat8, y : Nat8) : Nat8 { x <>> y };\n\n /// Returns the value of bit `p mod 8` in `x`, `(x & 2^(p mod 8)) == 2^(p mod 8)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bittest(5, 2);\n /// ```\n public func bittest(x : Nat8, p : Nat) : Bool {\n Prim.btstNat8(x, Prim.natToNat8(p))\n };\n\n /// Returns the value of setting bit `p mod 8` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitset(5, 1) == 7;\n /// ```\n public func bitset(x : Nat8, p : Nat) : Nat8 {\n x | (1 << Prim.natToNat8(p))\n };\n\n /// Returns the value of clearing bit `p mod 8` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat8, p : Nat) : Nat8 {\n x & ^(1 << Prim.natToNat8(p))\n };\n\n /// Returns the value of flipping bit `p mod 8` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat8, p : Nat) : Nat8 {\n x ^ (1 << Prim.natToNat8(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat8) -> Nat8 = Prim.popcntNat8;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitcountLeadingZero(5) == 5;\n /// ```\n public let bitcountLeadingZero : (x : Nat8) -> Nat8 = Prim.clzNat8;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitcountTrailingZero(6) == 1;\n /// ```\n public let bitcountTrailingZero : (x : Nat8) -> Nat8 = Prim.ctzNat8;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.addWrap(230, 26) == 0;\n /// assert (230 : Nat8) +% (26 : Nat8) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat8, y : Nat8) : Nat8 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.subWrap(0, 1) == 255;\n /// assert (0 : Nat8) -% (1 : Nat8) == 255;\n /// ```\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat8, y : Nat8) : Nat8 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.mulWrap(230, 26) == 92;\n /// assert (230 : Nat8) *% (26 : Nat8) == 92;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat8, y : Nat8) : Nat8 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.powWrap(2, 8) == 0;\n /// assert (2 : Nat8) **% (8 : Nat8) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat8, y : Nat8) : Nat8 { x **% y };\n\n /// Returns an iterator over `Nat8` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat8, toExclusive : Nat8) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat8 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat8` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat8, to : Nat8) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat8 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat8 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"Order.mo":{"content":"/// Utilities for `Order` (comparison between two values).\n\nimport Types \"Types\";\n\nmodule {\n\n /// A type to represent an order.\n public type Order = Types.Order;\n\n /// Check if an order is #less.\n public func isLess(self : Order) : Bool {\n switch self {\n case (#less) { true };\n case _ { false }\n }\n };\n\n /// Check if an order is #equal.\n public func isEqual(self : Order) : Bool {\n switch self {\n case (#equal) { true };\n case _ { false }\n }\n };\n\n /// Check if an order is #greater.\n public func isGreater(self : Order) : Bool {\n switch self {\n case (#greater) { true };\n case _ { false }\n }\n };\n\n /// Returns true if only if `order1` and `order2` are the same.\n public func equal(self : Order, other : Order) : Bool {\n switch (self, other) {\n case (#less, #less) { true };\n case (#equal, #equal) { true };\n case (#greater, #greater) { true };\n case _ { false }\n }\n };\n\n /// Returns an iterator that yields all possible `Order` values:\n /// `#less`, `#equal`, `#greater`.\n public func allValues() : Types.Iter {\n var nextState : ?Order = ?#less;\n {\n next = func() : ?Order {\n let state = nextState;\n switch state {\n case (?#less) { nextState := ?#equal };\n case (?#equal) { nextState := ?#greater };\n case (?#greater) { nextState := null };\n case (null) {}\n };\n state\n }\n }\n }\n\n}\n"}}} \ No newline at end of file +{"name":"core","version":"v2.4.0","files":{"Array.mo":{"content":"/// Provides extended utility functions on immutable Arrays (values of type `[T]`).\n///\n/// Note the difference between mutable (`[var T]`) and immutable (`[T]`) arrays.\n/// Mutable arrays allow their elements to be modified after creation, while\n/// immutable arrays are fixed once created.\n///\n/// WARNING: If you are looking for a list that can grow and shrink in size,\n/// it is recommended you use `List` for those purposes.\n/// Arrays must be created with a fixed size.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Array \"mo:core/Array\";\n/// ```\n\nimport Order \"Order\";\nimport VarArray \"VarArray\";\nimport Option \"Option\";\nimport Types \"Types\";\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Creates an empty array (equivalent to `[]`).\n ///\n /// ```motoko include=import\n /// let array = Array.empty();\n /// assert array == [];\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func empty() : [T] = [];\n\n /// Creates an array containing `item` repeated `size` times.\n ///\n /// ```motoko include=import\n /// let array = Array.repeat(\"Echo\", 3);\n /// assert array == [\"Echo\", \"Echo\", \"Echo\"];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func repeat(item : T, size : Nat) : [T] = Prim.Array_tabulate(size, func _ = item);\n\n /// Creates an immutable array of size `size`. Each element at index i\n /// is created by applying `generator` to i.\n ///\n /// ```motoko include=import\n /// let array : [Nat] = Array.tabulate(4, func i = i * 2);\n /// assert array == [0, 2, 4, 6];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `generator` runs in O(1) time and space.\n public let tabulate : (size : Nat, generator : Nat -> T) -> [T] = Prim.Array_tabulate;\n\n /// Transforms a mutable array into an immutable array.\n ///\n /// ```motoko include=import\n /// let varArray = [var 0, 1, 2];\n /// varArray[2] := 3;\n /// let array = Array.fromVarArray(varArray);\n /// assert array == [0, 1, 3];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n /// @deprecated M0235\n public func fromVarArray(varArray : [var T]) : [T] = Prim.Array_tabulate(varArray.size(), func i = varArray[i]);\n\n /// Transforms an immutable array into a mutable array.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [0, 1, 2];\n /// let varArray = Array.toVarArray(array);\n /// varArray[2] := 3;\n /// assert VarArray.equal(varArray, [var 0, 1, 3], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func toVarArray(self : [T]) : [var T] {\n let size = self.size();\n if (size == 0) {\n return [var]\n };\n let newArray = Prim.Array_init(size, self[0]);\n var i = 0;\n while (i < size) {\n newArray[i] := self[i];\n i += 1\n };\n newArray\n };\n\n /// Tests if two arrays contain equal values (i.e. they represent the same\n /// list of elements). Uses `equal` to compare elements in the arrays.\n ///\n /// ```motoko include=import\n /// // Use the equal function from the Nat module to compare Nats\n /// import {equal} \"mo:core/Nat\";\n ///\n /// let array1 = [0, 1, 2, 3];\n /// let array2 = [0, 1, 2, 3];\n /// assert Array.equal(array1, array2, equal);\n /// ```\n ///\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func equal(self : [T], other : [T], equal : (implicit : (T, T) -> Bool)) : Bool {\n let size1 = self.size();\n let size2 = other.size();\n if (size1 != size2) {\n return false\n };\n var i = 0;\n while (i < size1) {\n if (not equal(self[i], other[i])) {\n return false\n };\n i += 1\n };\n true\n };\n\n /// Returns the first value in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = [1, 9, 4, 8];\n /// let found = Array.find(array, func x = x > 8);\n /// assert found == ?9;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func find(self : [T], predicate : T -> Bool) : ?T {\n for (element in self.vals()) {\n if (predicate(element)) {\n return ?element\n }\n };\n null\n };\n\n /// Returns the first index in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = ['A', 'B', 'C', 'D'];\n /// let found = Array.findIndex(array, func(x) { x == 'C' });\n /// assert found == ?2;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : [T], predicate : T -> Bool) : ?Nat {\n for ((index, element) in enumerate(self)) {\n if (predicate(element)) {\n return ?index\n }\n };\n null\n };\n\n /// Create a new array by concatenating the values of `array1` and `array2`.\n /// Note that `Array.concat` copies its arguments and has linear complexity.\n ///\n /// ```motoko include=import\n /// let array1 = [1, 2, 3];\n /// let array2 = [4, 5, 6];\n /// let result = Array.concat(array1, array2);\n /// assert result == [1, 2, 3, 4, 5, 6];\n /// ```\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(size1 + size2)\n public func concat(self : [T], other : [T]) : [T] {\n let size1 = self.size();\n let size2 = other.size();\n Prim.Array_tabulate(\n size1 + size2,\n func i {\n if (i < size1) {\n self[i]\n } else {\n other[i - size1]\n }\n }\n )\n };\n\n /// Sorts the elements in the array according to `compare`.\n /// Sort is deterministic and stable.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [4, 2, 6];\n /// let sorted = Array.sort(array, Nat.compare);\n /// assert sorted == [2, 4, 6];\n /// ```\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sort(self : [T], compare : (implicit : (T, T) -> Order.Order)) : [T] {\n let varArray : [var T] = toVarArray(self);\n VarArray.sortInPlace(varArray, compare);\n fromVarArray(varArray)\n };\n\n /// Creates a new array by reversing the order of elements in `array`.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n /// let reversed = Array.reverse(array);\n /// assert reversed == [12, 11, 10];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func reverse(self : [T]) : [T] {\n let size = self.size();\n Prim.Array_tabulate(size, func i = self[size - i - 1])\n };\n\n /// Calls `f` with each element in `array`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// let array = [0, 1, 2, 3];\n /// Array.forEach(array, func(x) {\n /// sum += x;\n /// });\n /// assert sum == 6;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : [T], f : T -> ()) {\n for (item in self.vals()) {\n f(item)\n }\n };\n\n /// Creates a new array by applying `f` to each element in `array`. `f` \"maps\"\n /// each element it is applied to of type `X` to an element of type `Y`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// let array1 = [0, 1, 2, 3];\n /// let array2 = Array.map(array1, func x = x * 2);\n /// assert array2 == [0, 2, 4, 6];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func map(self : [T], f : T -> R) : [R] = Prim.Array_tabulate(self.size(), func i = f(self[i]));\n\n /// Creates a new array by applying `predicate` to every element\n /// in `array`, retaining the elements for which `predicate` returns true.\n ///\n /// ```motoko include=import\n /// let array = [4, 2, 6, 1, 5];\n /// let evenElements = Array.filter(array, func x = x % 2 == 0);\n /// assert evenElements == [4, 2, 6];\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func filter(self : [T], f : T -> Bool) : [T] {\n var count = 0;\n let keep = Prim.Array_tabulate(\n self.size(),\n func i {\n if (f(self[i])) {\n count += 1;\n true\n } else {\n false\n }\n }\n );\n var nextKeep = 0;\n Prim.Array_tabulate(\n count,\n func _ {\n while (not keep[nextKeep]) {\n nextKeep += 1\n };\n nextKeep += 1;\n self[nextKeep - 1]\n }\n )\n };\n\n /// Creates a new array by applying `f` to each element in `array`,\n /// and keeping all non-null elements. The ordering is retained.\n ///\n /// ```motoko include=import\n /// import {toText} \"mo:core/Nat\";\n ///\n /// let array = [4, 2, 0, 1];\n /// let newArray =\n /// Array.filterMap( // mapping from Nat to Text values\n /// array,\n /// func x = if (x == 0) { null } else { ?toText(100 / x) } // can't divide by 0, so return null\n /// );\n /// assert newArray == [\"25\", \"50\", \"100\"];\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func filterMap(self : [T], f : T -> ?R) : [R] {\n var count = 0;\n let options = Prim.Array_tabulate(\n self.size(),\n func i {\n let result = f(self[i]);\n switch (result) {\n case (?element) {\n count += 1;\n result\n };\n case null {\n null\n }\n }\n }\n );\n\n var nextSome = 0;\n Prim.Array_tabulate(\n count,\n func _ {\n while (Option.isNull(options[nextSome])) {\n nextSome += 1\n };\n nextSome += 1;\n switch (options[nextSome - 1]) {\n case (?element) element;\n case null {\n Prim.trap \"Array.filterMap(): malformed array\"\n }\n }\n }\n )\n };\n\n /// Creates a new array by applying `f` to each element in `array`.\n /// If any invocation of `f` produces an `#err`, returns an `#err`. Otherwise\n /// returns an `#ok` containing the new array.\n ///\n /// ```motoko include=import\n /// let array = [4, 3, 2, 1, 0];\n /// // divide 100 by every element in the array\n /// let result = Array.mapResult(array, func x {\n /// if (x > 0) {\n /// #ok(100 / x)\n /// } else {\n /// #err \"Cannot divide by zero\"\n /// }\n /// });\n /// assert result == #err \"Cannot divide by zero\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n /// @deprecated M0235\n public func mapResult(self : [T], f : T -> Types.Result) : Types.Result<[R], E> {\n let size = self.size();\n\n var error : ?Types.Result<[R], E> = null;\n let results = Prim.Array_tabulate(\n size,\n func i {\n switch (f(self[i])) {\n case (#ok element) {\n ?element\n };\n case (#err e) {\n switch (error) {\n case null {\n // only take the first error\n error := ?(#err e)\n };\n case _ {}\n };\n null\n }\n }\n }\n );\n\n switch error {\n case null {\n // unpack the option\n #ok(\n map(\n results,\n func element {\n switch element {\n case (?element) {\n element\n };\n case null {\n Prim.trap \"Array.mapResult(): malformed array\"\n }\n }\n }\n )\n )\n };\n case (?error) {\n error\n }\n }\n };\n\n /// Creates a new array by applying `f` to each element in `array` and its index.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// let array = [10, 10, 10, 10];\n /// let newArray = Array.mapEntries(array, func (x, i) = i * x);\n /// assert newArray == [0, 10, 20, 30];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapEntries(self : [T], f : (T, Nat) -> R) : [R] = Prim.Array_tabulate(self.size(), func i = f(self[i], i));\n\n /// Creates a new array by applying `k` to each element in `array`,\n /// and concatenating the resulting arrays in order.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4];\n /// let newArray = Array.flatMap(array, func x = [x, -x].values());\n /// assert newArray == [1, -1, 2, -2, 3, -3, 4, -4];\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `k` runs in O(1) time and space.\n public func flatMap(self : [T], k : T -> Types.Iter) : [R] {\n var flatSize = 0;\n let arrays = Prim.Array_tabulate<[R]>(\n self.size(),\n func i {\n let subArray = fromIter(k(self[i]));\n flatSize += subArray.size();\n subArray\n }\n );\n\n // could replace with a call to flatten,\n // but it would require an extra pass (to compute `flatSize`)\n var outer = 0;\n var inner = 0;\n Prim.Array_tabulate(\n flatSize,\n func _ {\n while (inner == arrays[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = arrays[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// ```motoko include=import\n /// import {add} \"mo:core/Nat\";\n ///\n /// let array = [4, 2, 0, 1];\n /// let sum =\n /// Array.foldLeft(\n /// array,\n /// 0, // start the sum at 0\n /// func(sumSoFar, x) = sumSoFar + x // this entire function can be replaced with `add`!\n /// );\n /// assert sum == 7;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : [T], base : A, combine : (A, T) -> A) : A {\n var acc = base;\n for (element in self.values()) {\n acc := combine(acc, element)\n };\n acc\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// ```motoko include=import\n /// import {toText} \"mo:core/Nat\";\n ///\n /// let array = [1, 9, 4, 8];\n /// let bookTitle = Array.foldRight(array, \"\", func(x, acc) = toText(x) # acc);\n /// assert bookTitle == \"1948\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldRight(self : [T], base : A, combine : (T, A) -> A) : A {\n var acc = base;\n let size = self.size();\n var i = size;\n while (i > 0) {\n i -= 1;\n acc := combine(self[i], acc)\n };\n acc\n };\n\n /// Combines an iterator of arrays into a single array. Retains the original\n /// ordering of the elements.\n ///\n /// Consider using `Array.flatten()` for better performance.\n ///\n /// ```motoko include=import\n /// let arrays = [[0, 1, 2], [2, 3], [], [4]];\n /// let joinedArray = Array.join(arrays.values());\n /// assert joinedArray == [0, 1, 2, 2, 3, 4];\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func join(self : Types.Iter<[T]>) : [T] {\n flatten(fromIter(self))\n };\n\n /// Combines an array of arrays into a single array. Retains the original\n /// ordering of the elements.\n ///\n /// This has better performance compared to `Array.join()`.\n ///\n /// ```motoko include=import\n /// let arrays = [[0, 1, 2], [2, 3], [], [4]];\n /// let flatArray = Array.flatten(arrays);\n /// assert flatArray == [0, 1, 2, 2, 3, 4];\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func flatten(self : [[T]]) : [T] {\n var flatSize = 0;\n for (subArray in self.vals()) {\n flatSize += subArray.size()\n };\n\n var outer = 0;\n var inner = 0;\n Prim.Array_tabulate(\n flatSize,\n func _ {\n while (inner == self[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = self[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Create an array containing a single value.\n ///\n /// ```motoko include=import\n /// let array = Array.singleton(2);\n /// assert array == [2];\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func singleton(element : T) : [T] = [element];\n\n /// Returns the size of an array. Equivalent to `array.size()`.\n public func size(self : [T]) : Nat = self.size();\n\n /// Returns whether an array is empty, i.e. contains zero elements.\n public func isEmpty(self : [T]) : Bool = self.size() == 0;\n\n /// Converts an iterator to an array.\n /// @deprecated M0235\n public func fromIter(iter : Types.Iter) : [T] {\n var list : Types.Pure.List = null;\n var size = 0;\n label l loop {\n switch (iter.next()) {\n case (?element) {\n list := ?(element, list);\n size += 1\n };\n case null { break l }\n }\n };\n if (size == 0) { return [] };\n let array = Prim.Array_init(\n size,\n switch list {\n case (?(h, _)) h;\n case null {\n Prim.trap(\"Array.fromIter(): unreachable\")\n }\n }\n );\n var i = size : Nat;\n while (i > 0) {\n i -= 1;\n switch list {\n case (?(h, t)) {\n array[i] := h;\n list := t\n };\n case null {\n Prim.trap(\"Array.fromIter(): unreachable\")\n }\n }\n };\n Prim.Array_tabulate(size, func i = array[i])\n };\n\n /// Returns an iterator (`Iter`) over the indices of `array`.\n /// An iterator provides a single method `next()`, which returns\n /// indices in order, or `null` when out of index to iterate over.\n ///\n /// Note: You can also use `array.keys()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.keys()) {\n /// sum += element;\n /// };\n /// assert sum == 3; // 0 + 1 + 2\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func keys(self : [T]) : Types.Iter = self.keys();\n\n /// Iterator provides a single method `next()`, which returns\n /// elements in order, or `null` when out of elements to iterate over.\n ///\n /// Note: You can also use `array.values()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.values()) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func values(self : [T]) : Types.Iter = self.values();\n\n /// Iterator provides a single method `next()`, which returns\n /// pairs of (index, element) in order, or `null` when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// let array = [10, 11, 12];\n ///\n /// var sum = 0;\n /// for ((index, element) in Array.enumerate(array)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func enumerate(self : [T]) : Types.Iter<(Nat, T)> = object {\n let size = self.size();\n var index = 0;\n public func next() : ?(Nat, T) {\n if (index >= size) {\n return null\n };\n let i = index;\n index += 1;\n ?(i, self[i])\n }\n };\n\n /// Returns true if all elements in `array` satisfy the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4];\n /// assert Array.all(array, func x = x > 0);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func all(self : [T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Returns true if any element in `array` satisfies the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4];\n /// assert Array.any(array, func x = x > 3);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func any(self : [T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Returns the index of the first `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.indexOf(array, Char.equal, 'c') == ?0;\n /// assert Array.indexOf(array, Char.equal, 'f') == ?2;\n /// assert Array.indexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func indexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = nextIndexOf(self, equal, element, 0);\n\n /// Returns the index of the next occurence of `element` in the `array` starting from the `from` index (inclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.nextIndexOf(array, Char.equal, 'c', 0) == ?0;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 0) == ?2;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 2) == ?2;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 3) == ?3;\n /// assert Array.nextIndexOf(array, Char.equal, 'f', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func nextIndexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T, fromInclusive : Nat) : ?Nat {\n var index = fromInclusive;\n let size = self.size();\n while (index < size) {\n if (equal(self[index], element)) {\n return ?index\n } else {\n index += 1\n }\n };\n null\n };\n\n /// Returns the index of the last `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.lastIndexOf(array, Char.equal, 'c') == ?0;\n /// assert Array.lastIndexOf(array, Char.equal, 'f') == ?3;\n /// assert Array.lastIndexOf(array, Char.equal, 'e') == ?5;\n /// assert Array.lastIndexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func lastIndexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = prevIndexOf(self, equal, element, self.size());\n\n /// Returns the index of the previous occurence of `element` in the `array` starting from the `from` index (exclusive).\n ///\n /// Negative indices are relative to the end of the array. For example, `-1` corresponds to the last element in the array.\n ///\n /// If the indices are out of bounds, they are clamped to the array bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.prevIndexOf(array, Char.equal, 'c', array.size()) == ?0;\n /// assert Array.prevIndexOf(array, Char.equal, 'e', array.size()) == ?5;\n /// assert Array.prevIndexOf(array, Char.equal, 'e', 5) == ?4;\n /// assert Array.prevIndexOf(array, Char.equal, 'e', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size());\n /// Space: O(1);\n public func prevIndexOf(self : [T], equal : (implicit : (T, T) -> Bool), element : T, fromExclusive : Nat) : ?Nat {\n var i = fromExclusive;\n while (i > 0) {\n i -= 1;\n if (equal(self[i], element)) {\n return ?i\n }\n };\n null\n };\n\n /// Returns true if the `array` contains `element` using the provided `equal` function.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = ['c', 'o', 'f', 'f', 'e', 'e'];\n /// assert Array.contains(array, Char.equal, 'f');\n /// assert not Array.contains(array, Char.equal, 'g');\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func contains(self : [T], equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (item in self.vals()) {\n if (equal(item, element)) {\n return true\n }\n };\n false\n };\n\n /// Returns an iterator over a slice of `array` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// Negative indices are relative to the end of the array. For example, `-1` corresponds to the last element in the array.\n ///\n /// If the indices are out of bounds, they are clamped to the array bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4, 5];\n /// let iter1 = Array.range(array, 3, array.size());\n /// assert iter1.next() == ?4;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// let iter2 = Array.range(array, 3, -1);\n /// assert iter2.next() == ?4;\n /// assert iter2.next() == null;\n ///\n /// let iter3 = Array.range(array, 0, 0);\n /// assert iter3.next() == null;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func range(self : [T], fromInclusive : Int, toExclusive : Int) : Types.Iter {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n object {\n var pos = start;\n public func next() : ?T {\n if (pos >= end) {\n null\n } else {\n let elem = self[pos];\n pos += 1;\n ?elem\n }\n }\n }\n };\n\n /// Returns a new array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// let array = [1, 2, 3, 4, 5];\n ///\n /// let slice1 = Array.sliceToArray(array, 1, 4);\n /// assert slice1 == [2, 3, 4];\n ///\n /// let slice2 = Array.sliceToArray(array, 1, -1);\n /// assert slice2 == [2, 3, 4];\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToArray(self : [T], fromInclusive : Int, toExclusive : Int) : [T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return []\n };\n Prim.Array_tabulate(end - start, func i = self[start + i])\n };\n\n /// Returns a new mutable array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [1, 2, 3, 4, 5];\n ///\n /// let slice1 = Array.sliceToVarArray(array, 1, 4);\n /// assert VarArray.equal(slice1, [var 2, 3, 4], Nat.equal);\n ///\n /// let slice2 = Array.sliceToVarArray(array, 1, -1);\n /// assert VarArray.equal(slice2, [var 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToVarArray(self : [T], fromInclusive : Int, toExclusive : Int) : [var T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return [var]\n };\n Prim.Array_tabulateVar(end - start, func i = self[start + i])\n };\n\n /// Converts the array to its textual representation using `f` to convert each element to `Text`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [1, 2, 3];\n /// let text = Array.toText(array, Nat.toText);\n /// assert text == \"[1, 2, 3]\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func toText(self : [T], f : (implicit : (toText : T -> Text))) : Text {\n let size = self.size();\n if (size == 0) { return \"[]\" };\n var text = \"[\";\n var i = 0;\n while (i < size) {\n if (i != 0) {\n text #= \", \"\n };\n text #= f(self[i]);\n i += 1\n };\n text #= \"]\";\n text\n };\n\n /// Compares two arrays using the provided comparison function for elements.\n /// Returns #less, #equal, or #greater if `array1` is less than, equal to,\n /// or greater than `array2` respectively.\n ///\n /// If arrays have different sizes but all elements up to the shorter length are equal,\n /// the shorter array is considered #less than the longer array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [1, 2, 3];\n /// let array2 = [1, 2, 4];\n /// assert Array.compare(array1, array2, Nat.compare) == #less;\n /// ```\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array3 = [1, 2];\n /// let array4 = [1, 2, 3];\n /// assert Array.compare(array3, array4, Nat.compare) == #less;\n /// ```\n ///\n /// Runtime: O(min(size1, size2))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func compare(self : [T], other : [T], compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let size1 = self.size();\n let size2 = other.size();\n var i = 0;\n let minSize = if (size1 < size2) { size1 } else { size2 };\n while (i < minSize) {\n switch (compare(self[i], other[i])) {\n case (#less) { return #less };\n case (#greater) { return #greater };\n case (#equal) { i += 1 }\n }\n };\n if (size1 < size2) { #less } else if (size1 > size2) { #greater } else {\n #equal\n }\n };\n\n /// Performs binary search on a sorted array to find the index of the `element`.\n ///\n /// Returns `#found(index)` if the element is found, or `#insertionIndex(index)` with the index\n /// where the element would be inserted according to the ordering if not found.\n ///\n /// If there are multiple equal elements, no guarantee is made about which index is returned.\n /// The array must be sorted in ascending order according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let sorted = [1, 3, 5, 7, 9, 11];\n /// assert Array.binarySearch(sorted, Nat.compare, 5) == #found(2);\n /// assert Array.binarySearch(sorted, Nat.compare, 6) == #insertionIndex(3);\n /// ```\n ///\n /// Runtime: O(log(size))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func binarySearch(self : [T], compare : (implicit : (T, T) -> Order.Order), element : T) : {\n #found : Nat;\n #insertionIndex : Nat\n } {\n var left = 0;\n var right = self.size();\n while (left < right) {\n let mid = (left + right) / 2;\n switch (compare(self[mid], element)) {\n case (#less) left := mid + 1;\n case (#greater) right := mid;\n case (#equal) return #found mid\n }\n };\n #insertionIndex left\n };\n\n /// Checks whether the `array` is sorted according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [1, 2, 3];\n /// assert Array.isSorted(array, Nat.compare);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func isSorted(self : [T], compare : (implicit : (T, T) -> Order.Order)) : Bool {\n let size = self.size();\n if (size <= 1) return true;\n var i = 1;\n while (i < size) {\n switch (compare(self[i - 1], self[i])) {\n case (#greater) return false;\n case _ { i += 1 }\n }\n };\n true\n }\n}\n"},"Nat32.mo":{"content":"/// Utility functions on 32-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat32 \"mo:core/Nat32\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 32-bit natural numbers.\n public type Nat32 = Prim.Types.Nat32;\n\n /// Maximum 32-bit natural number. `2 ** 32 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.maxValue == (4294967295 : Nat32);\n /// ```\n public let maxValue : Nat32 = 4294967295;\n\n /// Converts a 32-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat32) -> Nat = Prim.nat32ToNat;\n\n /// Converts an unsigned integer with infinite precision to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat(123) == (123 : Nat32);\n /// ```\n public let fromNat : Nat -> Nat32 = Prim.natToNat32;\n\n /// Converts a 32-bit unsigned integer to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat8(123) == (123 : Nat8);\n /// ```\n public func toNat8(self : Nat32) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(self))\n };\n\n /// Converts an 8-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat8(123) == (123 : Nat32);\n /// ```\n /// @deprecated M0235\n public func fromNat8(x : Nat8) : Nat32 {\n Prim.nat16ToNat32(Prim.nat8ToNat16(x))\n };\n\n /// Converts a 16-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat16(123) == (123 : Nat32);\n /// ```\n /// @deprecated M0235\n public let fromNat16 : (x : Nat16) -> Nat32 = Prim.nat16ToNat32;\n\n /// Converts a 32-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat16(123) == (123 : Nat16);\n /// ```\n public let toNat16 : (self : Nat32) -> Nat16 = Prim.nat32ToNat16;\n\n /// Converts a 64-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromNat64(123) == (123 : Nat32);\n /// ```\n /// @deprecated M0235\n public let fromNat64 : (x : Nat64) -> Nat32 = Prim.nat64ToNat32;\n\n /// Converts a 32-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toNat64(123) == (123 : Nat64);\n /// ```\n public let toNat64 : (self : Nat32) -> Nat64 = Prim.nat32ToNat64;\n\n /// Converts a signed integer with infinite precision to a 32-bit unsigned integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.fromIntWrap(123) == (123 : Nat32);\n /// ```\n public let fromIntWrap : Int -> Nat32 = Prim.intToNat32Wrap;\n\n /// Convert a Nat32 `char` to a Char in its Unicode representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let unicode = Nat32.toChar(65);\n /// assert unicode == 'A';\n /// ```\n public let toChar : (self : Nat32) -> Char = Prim.nat32ToChar;\n\n /// Converts `x` to its textual representation. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.toText(1234) == (\"1234\" : Text);\n /// ```\n public func toText(self : Nat32) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.min(123, 456) == (123 : Nat32);\n /// ```\n public func min(x : Nat32, y : Nat32) : Nat32 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.max(123, 456) == (456 : Nat32);\n /// ```\n public func max(x : Nat32, y : Nat32) : Nat32 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat32 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.equal(1, 1);\n /// assert (1 : Nat32) == (1 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat32 = 111;\n /// let b : Nat32 = 222;\n /// assert not Nat32.equal(a, b);\n /// ```\n public func equal(x : Nat32, y : Nat32) : Bool { x == y };\n\n /// Inequality function for Nat32 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.notEqual(1, 2);\n /// assert (1 : Nat32) != (2 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat32, y : Nat32) : Bool { x != y };\n\n /// \"Less than\" function for Nat32 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.less(1, 2);\n /// assert (1 : Nat32) < (2 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat32, y : Nat32) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat32 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.lessOrEqual(1, 2);\n /// assert (1 : Nat32) <= (2 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat32, y : Nat32) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat32 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.greater(2, 1);\n /// assert (2 : Nat32) > (1 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat32, y : Nat32) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat32 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.greaterOrEqual(2, 1);\n /// assert (2 : Nat32) >= (1 : Nat32);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat32, y : Nat32) : Bool {\n x >= y\n };\n\n /// General purpose comparison function for `Nat32`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat32], Nat32.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat32, y : Nat32) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.add(1, 2) == 3;\n /// assert (1 : Nat32) + (2 : Nat32) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat32.add) == 6;\n /// ```\n public func add(x : Nat32, y : Nat32) : Nat32 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.sub(2, 1) == 1;\n /// assert (2 : Nat32) - (1 : Nat32) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 20, Nat32.sub) == 14;\n /// ```\n public func sub(x : Nat32, y : Nat32) : Nat32 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.mul(2, 3) == 6;\n /// assert (2 : Nat32) * (3 : Nat32) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat32.mul) == 6;\n /// ```\n public func mul(x : Nat32, y : Nat32) : Nat32 { x * y };\n\n /// Returns the division of `x by y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.div(6, 2) == 3;\n /// assert (6 : Nat32) / (2 : Nat32) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat32, y : Nat32) : Nat32 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.rem(6, 4) == 2;\n /// assert (6 : Nat32) % (4 : Nat32) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat32, y : Nat32) : Nat32 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`. Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.pow(2, 3) == 8;\n /// assert (2 : Nat32) ** (3 : Nat32) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat32, y : Nat32) : Nat32 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitnot(0) == 4294967295;\n /// assert ^(0 : Nat32) == 4294967295;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat32) : Nat32 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitand(1, 3) == 1;\n /// assert (1 : Nat32) & (3 : Nat32) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat32, y : Nat32) : Nat32 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitor(1, 3) == 3;\n /// assert (1 : Nat32) | (3 : Nat32) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Nat32, y : Nat32) : Nat32 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitxor(1, 3) == 2;\n /// assert (1 : Nat32) ^ (3 : Nat32) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Nat32, y : Nat32) : Nat32 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitshiftLeft(1, 3) == 8;\n /// assert (1 : Nat32) << (3 : Nat32) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat32, y : Nat32) : Nat32 {\n x << y\n };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitshiftRight(8, 3) == 1;\n /// assert (8 : Nat32) >> (3 : Nat32) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat32, y : Nat32) : Nat32 {\n x >> y\n };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitrotLeft(1, 3) == 8;\n /// assert (1 : Nat32) <<> (3 : Nat32) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat32, y : Nat32) : Nat32 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitrotRight(1, 1) == 2147483648;\n /// assert (1 : Nat32) <>> (1 : Nat32) == 2147483648;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat32, y : Nat32) : Nat32 {\n x <>> y\n };\n\n /// Returns the value of bit `p mod 32` in `x`, `(x & 2^(p mod 32)) == 2^(p mod 32)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bittest(5, 2);\n /// ```\n public func bittest(x : Nat32, p : Nat) : Bool {\n Prim.btstNat32(x, Prim.natToNat32(p))\n };\n\n /// Returns the value of setting bit `p mod 32` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitset(5, 1) == 7;\n /// ```\n public func bitset(x : Nat32, p : Nat) : Nat32 {\n x | (1 << Prim.natToNat32(p))\n };\n\n /// Returns the value of clearing bit `p mod 32` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat32, p : Nat) : Nat32 {\n x & ^(1 << Prim.natToNat32(p))\n };\n\n /// Returns the value of flipping bit `p mod 32` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat32, p : Nat) : Nat32 {\n x ^ (1 << Prim.natToNat32(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat32) -> Nat32 = Prim.popcntNat32;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitcountLeadingZero(5) == 29;\n /// ```\n public let bitcountLeadingZero : (x : Nat32) -> Nat32 = Prim.clzNat32;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.bitcountTrailingZero(16) == 4;\n /// ```\n public let bitcountTrailingZero : (x : Nat32) -> Nat32 = Prim.ctzNat32;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.explode 0xaa885511 == (170, 136, 85, 17);\n /// ```\n public let explode : (x : Nat32) -> (msb : Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeNat32;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.addWrap(4294967295, 1) == 0;\n /// assert (4294967295 : Nat32) +% (1 : Nat32) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat32, y : Nat32) : Nat32 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.subWrap(0, 1) == 4294967295;\n /// assert (0 : Nat32) -% (1 : Nat32) == 4294967295;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat32, y : Nat32) : Nat32 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.mulWrap(2147483648, 2) == 0;\n /// assert (2147483648 : Nat32) *% (2 : Nat32) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat32, y : Nat32) : Nat32 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat32.powWrap(2, 32) == 0;\n /// assert (2 : Nat32) **% (32 : Nat32) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat32, y : Nat32) : Nat32 { x **% y };\n\n /// Returns an iterator over `Nat32` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat32, toExclusive : Nat32) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat32 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat32` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat32, to : Nat32) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat32 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat32 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat32.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"Runtime.mo":{"content":"/// Runtime utilities.\n/// These functions were originally part of the `Debug` module.\n///\n/// ```motoko name=import\n/// import Runtime \"mo:core/Runtime\";\n/// ```\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// `trap(t)` traps execution with a user-provided diagnostic message.\n ///\n /// The caller of a future whose execution called `trap(t)` will\n /// observe the trap as an `Error` value, thrown at `await`, with code\n /// `#canister_error` and message `m`. Here `m` is a more descriptive `Text`\n /// message derived from the provided `t`. See example for more details.\n ///\n /// NOTE: Other execution environments that cannot handle traps may only\n /// propagate the trap and terminate execution, with or without some\n /// descriptive message.\n ///\n /// ```motoko include=import no-validate\n /// Runtime.trap(\"An error occurred!\");\n /// ```\n public func trap(errorMessage : Text) : None {\n Prim.trap errorMessage\n };\n\n /// `unreachable()` traps execution when code that should be unreachable is reached.\n ///\n /// This function is useful for marking code paths that should never be executed,\n /// such as after exhaustive pattern matches or unreachable control flow branches.\n /// If execution reaches this function, it indicates a programming error.\n ///\n /// ```motoko include=import no-validate\n /// let number = switch (?5) {\n /// case (?n) n;\n /// case null Runtime.unreachable();\n /// };\n /// assert number == 5;\n /// ```\n public func unreachable() : None {\n trap(\"Runtime.unreachable()\")\n };\n\n /// Returns the names of all canister environment variables.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// let names = Runtime.envVarNames();\n /// ```\n public func envVarNames() : [Text] {\n return Prim.envVarNames()\n };\n\n /// Returns an optional value of the canister environment variable with the given name.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// let value = Runtime.envVar(\"MY_ENV_VAR\");\n /// let result = switch (value) {\n /// case (?v) v;\n /// case null Runtime.trap(\"Unknown environment variable\");\n /// };\n /// ```\n public func envVar(name : Text) : ?Text {\n return Prim.envVar(name)\n }\n\n}\n"},"Result.mo":{"content":"/// Module for error handling with the Result type.\n///\n/// The Result type is used for returning and propagating errors. It has two variants:\n/// `#ok(Ok)`, representing success and containing a value, and `#err(Err)`, representing\n/// error and containing an error value.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Result \"mo:core/Result\";\n/// ```\n\nimport Order \"Order\";\nimport Types \"Types\";\n\nmodule {\n\n /// The Result type used for returning and propagating errors.\n ///\n /// The simplest way of working with Results is to pattern match on them.\n /// For example:\n /// ```motoko include=import\n /// import Text \"mo:core/Text\";\n ///\n /// type Email = Text;\n /// type ErrorMessage = Text;\n ///\n /// func validateEmail(email : Text) : Result.Result {\n /// let parts = Text.split(email, #char '@');\n /// let beforeAt = parts.next();\n /// let afterAt = parts.next();\n /// switch (beforeAt, afterAt) {\n /// case (?local, ?domain) {\n /// if (local == \"\") return #err(\"Username cannot be empty\");\n /// if (not Text.contains(domain, #char '.')) return #err(\"Invalid domain format\");\n /// #ok(email)\n /// };\n /// case _ #err(\"Email must contain exactly one @ symbol\")\n /// }\n /// };\n ///\n /// assert validateEmail(\"user@example.com\") == #ok(\"user@example.com\");\n /// assert validateEmail(\"invalid.email\") == #err(\"Email must contain exactly one @ symbol\");\n /// assert validateEmail(\"@domain.com\") == #err(\"Username cannot be empty\");\n /// assert validateEmail(\"user@invalid\") == #err(\"Invalid domain format\");\n /// ```\n /// @deprecated M0235\n public type Result = Types.Result;\n\n /// Compares two Results for equality.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let result1 = #ok 10;\n /// let result2 = #ok 10;\n /// let result3 = #err \"error\";\n ///\n /// assert Result.equal(result1, result2, Nat.equal, Text.equal);\n /// assert not Result.equal(result1, result3, Nat.equal, Text.equal);\n /// ```\n public func equal(\n self : Result,\n other : Result,\n equalOk : (implicit : (equal : Ok, Ok) -> Bool),\n equalErr : (implicit : (equal : (Err, Err) -> Bool))\n ) : Bool {\n switch (self, other) {\n case (#ok(ok1), #ok(ok2)) {\n equalOk(ok1, ok2)\n };\n case (#err(err1), #err(err2)) {\n equalErr(err1, err2)\n };\n case _ { false }\n }\n };\n\n /// Compares two Result values. `#ok` is larger than `#err`. This ordering is\n /// arbitrary, but it lets you for example use Results as keys in ordered maps.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let result1 = #ok 5;\n /// let result2 = #ok 10;\n /// let result3 = #err \"error\";\n ///\n /// assert Result.compare(result1, result2, Nat.compare, Text.compare) == #less;\n /// assert Result.compare(result2, result1, Nat.compare, Text.compare) == #greater;\n /// assert Result.compare(result1, result3, Nat.compare, Text.compare) == #greater;\n /// ```\n public func compare(\n self : Result,\n other : Result,\n compareOk : (implicit : (compare : (Ok, Ok) -> Order.Order)),\n compareErr : (implicit : (compare : (Err, Err) -> Order.Order))\n ) : Order.Order {\n switch (self, other) {\n case (#ok(ok1), #ok(ok2)) {\n compareOk(ok1, ok2)\n };\n case (#err(err1), #err(err2)) {\n compareErr(err1, err2)\n };\n case (#ok(_), _) { #greater };\n case (#err(_), _) { #less }\n }\n };\n\n /// Allows sequencing of Result values and functions that return\n /// Results themselves.\n /// ```motoko include=import\n /// type Result = Result.Result;\n /// func largerThan10(x : Nat) : Result =\n /// if (x > 10) { #ok(x) } else { #err(\"Not larger than 10.\") };\n ///\n /// func smallerThan20(x : Nat) : Result =\n /// if (x < 20) { #ok(x) } else { #err(\"Not smaller than 20.\") };\n ///\n /// func between10And20(x : Nat) : Result =\n /// Result.chain(largerThan10(x), smallerThan20);\n ///\n /// assert between10And20(15) == #ok(15);\n /// assert between10And20(9) == #err(\"Not larger than 10.\");\n /// assert between10And20(21) == #err(\"Not smaller than 20.\");\n /// ```\n public func chain(\n self : Result,\n f : Ok1 -> Result\n ) : Result {\n switch self {\n case (#err(e)) { #err(e) };\n case (#ok(r)) { f(r) }\n }\n };\n\n /// Flattens a nested Result.\n ///\n /// ```motoko include=import\n /// assert Result.flatten(#ok(#ok(10))) == #ok(10);\n /// assert Result.flatten(#err(\"Wrong\")) == #err(\"Wrong\");\n /// assert Result.flatten(#ok(#err(\"Wrong\"))) == #err(\"Wrong\");\n /// ```\n public func flatten(\n self : Result, Err>\n ) : Result {\n switch self {\n case (#ok(ok)) { ok };\n case (#err(err)) { #err(err) }\n }\n };\n\n /// Maps the `Ok` type/value, leaving any `Err` type/value unchanged.\n ///\n /// Example:\n /// ```motoko include=import\n /// let result1 = #ok(42);\n /// let result2 = #err(\"error\");\n ///\n /// let doubled1 = Result.mapOk(result1, func x = x * 2);\n /// assert doubled1 == #ok(84);\n ///\n /// let doubled2 = Result.mapOk(result2, func x = x * 2);\n /// assert doubled2 == #err(\"error\");\n /// ```\n public func mapOk(\n self : Result,\n f : Ok1 -> Ok2\n ) : Result {\n switch self {\n case (#err(e)) { #err(e) };\n case (#ok(r)) { #ok(f(r)) }\n }\n };\n\n /// Maps the `Err` type/value, leaving any `Ok` type/value unchanged.\n ///\n /// Example:\n /// ```motoko include=import\n /// let result1 = #ok(42);\n /// let result2 = #err(\"error\");\n ///\n /// let mapped1 = Result.mapErr(result1, func x = x # \"!\");\n /// assert mapped1 == #ok(42);\n ///\n /// let mapped2 = Result.mapErr(result2, func x = x # \"!\");\n /// assert mapped2 == #err(\"error!\");\n /// ```\n public func mapErr(\n self : Result,\n f : Err1 -> Err2\n ) : Result {\n switch self {\n case (#err(e)) { #err(f(e)) };\n case (#ok(r)) { #ok(r) }\n }\n };\n\n /// Create a result from an option, including an error value to handle the `null` case.\n /// ```motoko include=import\n /// assert Result.fromOption(?42, \"err\") == #ok(42);\n /// assert Result.fromOption(null, \"err\") == #err(\"err\");\n /// ```\n public func fromOption(x : ?Ok, err : Err) : Result {\n switch x {\n case (?x) { #ok(x) };\n case null { #err(err) }\n }\n };\n\n /// Create an option from a result, turning all #err into `null`.\n /// ```motoko include=import\n /// assert Result.toOption(#ok(42)) == ?42;\n /// assert Result.toOption(#err(\"err\")) == null;\n /// ```\n public func toOption(self : Result) : ?Ok {\n switch self {\n case (#ok(x)) { ?x };\n case (#err(_)) { null }\n }\n };\n\n /// Applies a function to a successful value and discards the result. Use\n /// `forOk` if you're only interested in the side effect `f` produces.\n ///\n /// ```motoko include=import\n /// var counter : Nat = 0;\n /// Result.forOk(#ok(5), func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// Result.forOk(#err(\"Error\"), func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// ```\n public func forOk(self : Result, f : Ok -> ()) {\n switch self {\n case (#ok(ok)) { f(ok) };\n case _ {}\n }\n };\n\n /// Applies a function to an error value and discards the result. Use\n /// `forErr` if you're only interested in the side effect `f` produces.\n ///\n /// ```motoko include=import\n /// var counter : Nat = 0;\n /// Result.forErr(#err(\"Error\"), func (x : Text) { counter += 1 });\n /// assert counter == 1;\n /// Result.forErr(#ok(5), func (x : Text) { counter += 1 });\n /// assert counter == 1;\n /// ```\n public func forErr(self : Result, f : Err -> ()) {\n switch self {\n case (#err(err)) { f(err) };\n case _ {}\n }\n };\n\n /// Whether this Result is an `#ok`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Result.isOk(#ok(42));\n /// assert not Result.isOk(#err(\"error\"));\n /// ```\n public func isOk(self : Result) : Bool {\n switch self {\n case (#ok(_)) { true };\n case (#err(_)) { false }\n }\n };\n\n /// Whether this Result is an `#err`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Result.isErr(#err(\"error\"));\n /// assert not Result.isErr(#ok(42));\n /// ```\n public func isErr(self : Result) : Bool {\n switch self {\n case (#ok(_)) { false };\n case (#err(_)) { true }\n }\n };\n\n /// Asserts that its argument is an `#ok` result, traps otherwise.\n ///\n /// Example:\n /// ```motoko include=import\n /// Result.assertOk(#ok(42)); // succeeds\n /// // Result.assertOk(#err(\"error\")); // would trap\n /// ```\n public func assertOk(self : Result) {\n switch self {\n case (#err(_)) { assert false };\n case (#ok(_)) {}\n }\n };\n\n /// Asserts that its argument is an `#err` result, traps otherwise.\n ///\n /// Example:\n /// ```motoko include=import\n /// Result.assertErr(#err(\"error\")); // succeeds\n /// // Result.assertErr(#ok(42)); // would trap\n /// ```\n public func assertErr(self : Result) {\n switch self {\n case (#err(_)) {};\n case (#ok(_)) assert false\n }\n };\n\n /// Converts an upper cased `#Ok`, `#Err` result type into a lowercased `#ok`, `#err` result type.\n /// On the IC, a common convention is to use `#Ok` and `#Err` as the variants of a result type,\n /// but in Motoko, we use `#ok` and `#err` instead.\n ///\n /// Example:\n /// ```motoko include=import\n /// let upper = #Ok(42);\n /// let lower = Result.fromUpper(upper);\n /// assert lower == #ok(42);\n /// ```\n public func fromUpper(\n result : { #Ok : Ok; #Err : Err }\n ) : Result {\n switch result {\n case (#Ok(ok)) { #ok(ok) };\n case (#Err(err)) { #err(err) }\n }\n };\n\n /// Converts a lower cased `#ok`, `#err` result type into an upper cased `#Ok`, `#Err` result type.\n /// On the IC, a common convention is to use `#Ok` and `#Err` as the variants of a result type,\n /// but in Motoko, we use `#ok` and `#err` instead.\n ///\n /// Example:\n /// ```motoko include=import\n /// let lower = #ok(42);\n /// let upper = Result.toUpper(lower);\n /// assert upper == #Ok(42);\n /// ```\n public func toUpper(\n self : Result\n ) : { #Ok : Ok; #Err : Err } {\n switch self {\n case (#ok(ok)) { #Ok(ok) };\n case (#err(err)) { #Err(err) }\n }\n };\n\n}\n"},"PriorityQueue.mo":{"content":"/// A mutable priority queue of elements.\n/// Always returns the element with the highest priority first,\n/// as determined by a user-provided comparison function.\n///\n/// Typical use cases include:\n/// * Task scheduling (highest-priority task first)\n/// * Event simulation\n/// * Pathfinding algorithms (e.g. Dijkstra, A*)\n///\n/// Example:\n/// ```motoko\n/// import PriorityQueue \"mo:core/PriorityQueue\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// let pq = PriorityQueue.empty();\n/// PriorityQueue.push(pq, Nat.compare, 5);\n/// PriorityQueue.push(pq, Nat.compare, 10);\n/// PriorityQueue.push(pq, Nat.compare, 3);\n/// assert PriorityQueue.pop(pq, Nat.compare) == ?10;\n/// assert PriorityQueue.pop(pq, Nat.compare) == ?5;\n/// assert PriorityQueue.pop(pq, Nat.compare) == ?3;\n/// assert PriorityQueue.pop(pq, Nat.compare) == null;\n/// }\n/// ```\n///\n/// Internally implemented as a binary heap stored in a core library `List`.\n///\n/// Performance:\n/// * Runtime: `O(log n)` for `push` and `pop` (amortized).\n/// * Runtime: `O(1)` for `peek`, `clear`, `size`, and `isEmpty`.\n/// * Space: `O(n)`, where `n` is the number of stored elements.\n///\n/// Implementation note (due to `List`):\n/// * There is an additive memory overhead of `O(sqrt(n))`.\n/// * For `push` and `pop`, the amortized time is `O(log n)`,\n/// but the worst case can involve an extra `O(sqrt(n))` step.\nimport List \"List\";\nimport Types \"Types\";\nimport Order \"Order\";\n\nmodule {\n public type PriorityQueue = Types.PriorityQueue;\n\n /// Returns an empty priority queue.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n ///\n /// let pq = PriorityQueue.empty();\n /// assert PriorityQueue.isEmpty(pq);\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func empty() : PriorityQueue = {\n heap = List.empty()\n };\n\n /// Returns a priority queue containing a single element.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n ///\n /// let pq = PriorityQueue.singleton(42);\n /// assert PriorityQueue.peek(pq) == ?42;\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func singleton(element : T) : PriorityQueue = {\n heap = List.singleton(element)\n };\n\n /// Returns the number of elements in the priority queue.\n ///\n /// Runtime: `O(1)`.\n public func size(self : PriorityQueue) : Nat = List.size(self.heap);\n\n /// Returns `true` iff the priority queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.empty();\n /// assert PriorityQueue.isEmpty(pq);\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// assert not PriorityQueue.isEmpty(pq);\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func isEmpty(self : PriorityQueue) : Bool = List.isEmpty(self.heap);\n\n /// Removes all elements from the priority queue.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n ///\n /// let pq = PriorityQueue.empty();\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// PriorityQueue.push(pq, Nat.compare, 10);\n /// assert not PriorityQueue.isEmpty(pq);\n /// PriorityQueue.clear(pq);\n /// assert PriorityQueue.isEmpty(pq);\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func clear(self : PriorityQueue) = List.clear(self.heap);\n\n /// Inserts a new element into the priority queue.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.empty();\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// PriorityQueue.push(pq, Nat.compare, 10);\n /// assert PriorityQueue.peek(pq) == ?10;\n /// ```\n ///\n /// Runtime: `O(log n)`. Space: `O(1)`.\n public func push(\n self : PriorityQueue,\n compare : (implicit : (T, T) -> Order.Order),\n element : T\n ) {\n let heap = self.heap;\n List.add(heap, element);\n var index : Nat = List.size(heap) - 1;\n while (index > 0) {\n let parentId = (index - 1) : Nat / 2;\n let parentVal = List.at(heap, parentId);\n if (compare(element, parentVal) == #greater) {\n List.put(heap, index, parentVal);\n index := parentId\n } else {\n List.put(heap, index, element);\n return\n }\n };\n List.put(heap, 0, element)\n };\n\n /// Returns the element with the highest priority, without removing it.\n /// Returns `null` if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n ///\n /// let pq = PriorityQueue.singleton(42);\n /// assert PriorityQueue.peek(pq) == ?42;\n /// ```\n ///\n /// Runtime: `O(1)`. Space: `O(1)`.\n public func peek(self : PriorityQueue) : ?T = List.get(self.heap, 0);\n\n /// Removes and returns the element with the highest priority.\n /// Returns `null` if the queue is empty.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.empty();\n /// PriorityQueue.push(pq, Nat.compare, 5);\n /// PriorityQueue.push(pq, Nat.compare, 10);\n /// assert PriorityQueue.pop(pq, Nat.compare) == ?10;\n /// ```\n ///\n /// Runtime: `O(log n)`. Space: `O(1)`.\n public func pop(\n self : PriorityQueue,\n compare : (implicit : (T, T) -> Order.Order)\n ) : ?T {\n let heap = self.heap;\n if (List.isEmpty(heap)) {\n return null\n };\n let top = List.get(heap, 0);\n let lastIndex : Nat = List.size(heap) - 1;\n let lastElem = List.at(heap, lastIndex);\n\n var index = 0;\n loop {\n var best = lastIndex;\n let left = 2 * index + 1;\n var bestElem = lastElem;\n if (left < lastIndex) {\n let leftElem = List.at(heap, left);\n if (compare(leftElem, lastElem) == #greater) {\n best := left;\n bestElem := leftElem\n }\n };\n let right = left + 1;\n if (right < lastIndex) {\n let rightElem = List.at(heap, right);\n if (compare(rightElem, bestElem) == #greater) {\n best := right;\n bestElem := rightElem\n }\n };\n if (best == lastIndex) {\n List.put(heap, index, lastElem);\n ignore List.removeLast(heap);\n return top\n };\n List.put(heap, index, bestElem);\n index := best\n }\n };\n\n /// Creates a new priority queue from an iterator.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let pq = PriorityQueue.fromIter([5, 10, 3].values(), Nat.compare);\n /// assert PriorityQueue.size(pq) == 3;\n /// assert PriorityQueue.peek(pq) == ?10;\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// `n` denotes the number of elements in the iterator.\n public func fromIter(iter : Types.Iter, compare : (implicit : (T, T) -> Order.Order)) : PriorityQueue {\n let pq = empty();\n for (element in iter) {\n push(pq, element)\n };\n pq\n };\n\n /// Creates a copy of the priority queue.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let original = PriorityQueue.fromIter([5, 10, 3].values(), Nat.compare);\n /// let copy = PriorityQueue.clone(original);\n /// assert PriorityQueue.pop(copy, Nat.compare) == ?10;\n /// assert PriorityQueue.size(original) == 3;\n /// ```\n ///\n /// Runtime: `O(n)`. Space: `O(n)`.\n /// `n` denotes the number of elements in the priority queue.\n public func clone(self : PriorityQueue) : PriorityQueue = {\n heap = List.clone(self.heap)\n };\n\n /// Returns an iterator that yields elements in descending priority order\n /// (highest priority first, matching `pop` semantics).\n ///\n /// The original queue is not modified. Internally clones the heap\n /// and pops from the clone on each `next()` call.\n ///\n /// `compare` – comparison function that defines priority ordering.\n ///\n /// Example:\n /// ```motoko\n /// import PriorityQueue \"mo:core/PriorityQueue\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let pq = PriorityQueue.fromIter([5, 10, 3].values(), Nat.compare);\n /// assert Iter.toArray(PriorityQueue.values(pq, Nat.compare)) == [10, 5, 3];\n /// ```\n ///\n /// Runtime: `O(n)` to create the iterator, `O(log n)` per `next()` call.\n /// Space: `O(n)` for the internal clone.\n /// `n` denotes the number of elements in the priority queue.\n public func values(self : PriorityQueue, compare : (implicit : (T, T) -> Order.Order)) : Types.Iter {\n let copy : PriorityQueue = clone(self);\n object {\n public func next() : ?T {\n pop(copy)\n }\n }\n }\n}\n"},"Random.mo":{"content":"/// Random number generation.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Random \"mo:core/Random\";\n/// ```\n\nimport Nat8 \"Nat8\";\nimport Nat64 \"Nat64\";\nimport Int \"Int\";\nimport Nat \"Nat\";\nimport Blob \"Blob\";\nimport Runtime \"Runtime\";\n\nmodule {\n\n public type State = {\n var bytes : [Nat8];\n var index : Nat;\n var bits : Nat8;\n var bitMask : Nat8\n };\n\n public type SeedState = {\n random : State;\n prng : PRNG.State\n };\n\n let rawRand = (actor \"aaaaa-aa\" : actor { raw_rand : () -> async Blob }).raw_rand;\n\n public let blob : shared () -> async Blob = rawRand;\n\n public func bool() : async Bool {\n await* crypto().bool()\n };\n public func nat8() : async Nat8 {\n await* crypto().nat8()\n };\n public func nat64() : async Nat64 {\n await* crypto().nat64()\n };\n public func nat64Range(fromInclusive : Nat64, toExclusive : Nat64) : async Nat64 {\n await* crypto().nat64Range(fromInclusive, toExclusive)\n };\n public func natRange(fromInclusive : Nat, toExclusive : Nat) : async Nat {\n await* crypto().natRange(fromInclusive, toExclusive)\n };\n public func intRange(fromInclusive : Int, toExclusive : Int) : async Int {\n await* crypto().intRange(fromInclusive, toExclusive)\n };\n\n /// Initializes a random number generator state. This is used\n /// to create a `Random` or `AsyncRandom` instance with a specific state.\n /// The state is empty, but it can be reused after upgrading the canister.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.emptyState();\n /// transient let random = Random.cryptoFromState(state);\n ///\n /// public func main() : async () {\n /// let coin = await* random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func emptyState() : State = {\n var bytes = [];\n var index = 0;\n var bits = 0x00;\n var bitMask = 0x00\n };\n\n /// Initializes a pseudo-random number generator state with a 64-bit seed.\n /// This is used to create a `Random` instance with a specific seed.\n /// The seed is used to initialize the PRNG state.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.seedState(123);\n /// transient let random = Random.seedFromState(state);\n ///\n /// public func main() : async () {\n /// let coin = random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func seedState(seed : Nat64) : SeedState = {\n random = emptyState();\n prng = PRNG.init(seed)\n };\n\n /// Creates a pseudo-random number generator from a 64-bit seed.\n /// The seed is used to initialize the PRNG state.\n /// This is suitable for simulations and testing, but not for cryptographic purposes.\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(123);\n /// let coin = random.bool(); // true or false\n /// ```\n /// @deprecated M0235\n public func seed(seed : Nat64) : Random {\n seedFromState(seedState(seed))\n };\n\n /// Creates a pseudo-random number generator with the given state.\n /// This provides statistical randomness suitable for simulations and testing,\n /// but should not be used for cryptographic purposes.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.seedState(123);\n /// transient let random = Random.seedFromState(state);\n ///\n /// public func main() : async () {\n /// let coin = random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func seedFromState(state : SeedState) : Random {\n Random(\n state.random,\n func() : Blob {\n // Generate 8 bytes directly from a single 64-bit number\n let n = PRNG.next(state.prng);\n let (b7, b6, b5, b4, b3, b2, b1, b0) = Nat64.explode(n);\n Blob.fromArray([b0, b1, b2, b3, b4, b5, b6, b7])\n }\n )\n };\n\n /// Initializes a cryptographic random number generator\n /// using entropy from the ICP management canister.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// transient let random = Random.crypto();\n ///\n /// public func main() : async () {\n /// let coin = await* random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func crypto() : AsyncRandom {\n cryptoFromState(emptyState())\n };\n\n /// Creates a random number generator suitable for cryptography\n /// using entropy from the ICP management canister. Initializing\n /// from a state makes it possible to reuse entropy after\n /// upgrading the canister.\n ///\n /// Example:\n /// ```motoko\n /// import Random \"mo:core/Random\";\n ///\n /// persistent actor {\n /// let state = Random.emptyState();\n /// transient let random = Random.cryptoFromState(state);\n ///\n /// func example() : async () {\n /// let coin = await* random.bool(); // true or false\n /// }\n /// }\n /// ```\n /// @deprecated M0235\n public func cryptoFromState(state : State) : AsyncRandom {\n AsyncRandom(state, func() : async* Blob { await rawRand() })\n };\n\n /// @deprecated M0235\n public class Random(state : State, generator : () -> Blob) {\n\n func nextBit() : Bool {\n if (0 : Nat8 == state.bitMask) {\n state.bits := nat8();\n state.bitMask := 0x40;\n 0 : Nat8 != state.bits & (0x80 : Nat8)\n } else {\n let m = state.bitMask;\n state.bitMask >>= (1 : Nat8);\n 0 : Nat8 != state.bits & m\n }\n };\n\n /// Random choice between `true` and `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let coin = random.bool(); // true or false\n /// ```\n /// @deprecated M0235\n public func bool() : Bool {\n nextBit()\n };\n\n /// Random `Nat8` value in the range [0, 256).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let byte = random.nat8(); // 0 to 255\n /// ```\n /// @deprecated M0235\n public func nat8() : Nat8 {\n if (state.index >= state.bytes.size()) {\n let newBytes = Blob.toArray(generator());\n if (newBytes.size() == 0) {\n Runtime.trap(\"Random: generator produced empty Blob\")\n };\n state.bytes := newBytes;\n state.index := 0\n };\n let byte = state.bytes[state.index];\n state.index += 1;\n byte\n };\n\n // Helper function which returns a uniformly sampled `Nat64` in the range `[0, max]`.\n // Uses rejection sampling to ensure uniform distribution even when the range\n // doesn't divide evenly into 2^64. This avoids modulo bias that would occur\n // from simply taking the modulo of a random 64-bit number.\n func uniform64(max : Nat64) : Nat64 {\n if (max == 0) {\n return 0\n };\n // if (max == 1) {\n // return switch (bool()) {\n // case false 0;\n // case true 1\n // }\n // };\n if (max == Nat64.maxValue) {\n return nat64()\n };\n let toExclusive = max + 1;\n // 2^64 - (2^64 % toExclusive) = (2^64-1) - (2^64-1 % toExclusive):\n let cutoff = Nat64.maxValue - (Nat64.maxValue % toExclusive);\n // 2^64 / toExclusive, with toExclusive > 1:\n let multiple = Nat64.fromNat(/* 2^64 */ 0x10000000000000000 / Nat64.toNat(toExclusive));\n loop {\n // Build up a random Nat64 from bytes\n var number = nat64();\n // If number is below cutoff, we can use it\n if (number < cutoff) {\n // Scale down to desired range\n return number / multiple\n };\n // Otherwise reject and try again\n }\n };\n\n /// Random `Nat64` value in the range [0, 2^64).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let number = random.nat64(); // 0 to 18446744073709551615\n /// ```\n /// @deprecated M0235\n public func nat64() : Nat64 {\n (Nat64.fromNat(Nat8.toNat(nat8())) << 56) | (Nat64.fromNat(Nat8.toNat(nat8())) << 48) | (Nat64.fromNat(Nat8.toNat(nat8())) << 40) | (Nat64.fromNat(Nat8.toNat(nat8())) << 32) | (Nat64.fromNat(Nat8.toNat(nat8())) << 24) | (Nat64.fromNat(Nat8.toNat(nat8())) << 16) | (Nat64.fromNat(Nat8.toNat(nat8())) << 8) | Nat64.fromNat(Nat8.toNat(nat8()))\n };\n\n /// Random `Nat64` value in the range [fromInclusive, toExclusive).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let dice = random.nat64Range(1, 7); // 1 to 6\n /// ```\n /// @deprecated M0235\n public func nat64Range(fromInclusive : Nat64, toExclusive : Nat64) : Nat64 {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"Random.nat64Range(): fromInclusive >= toExclusive\")\n };\n uniform64(toExclusive - fromInclusive - 1) + fromInclusive\n };\n\n /// Random `Nat` value in the range [fromInclusive, toExclusive).\n ///\n /// Example:\n /// ```motoko include=import\n /// let random = Random.seed(42);\n /// let index = random.natRange(0, 10); // 0 to 9\n /// ```\n /// @deprecated M0235\n public func natRange(fromInclusive : Nat, toExclusive : Nat) : Nat {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"Random.natRange(): fromInclusive >= toExclusive\")\n };\n Nat64.toNat(uniform64(Nat64.fromNat(toExclusive - fromInclusive - 1))) + fromInclusive\n };\n\n /// @deprecated M0235\n public func intRange(fromInclusive : Int, toExclusive : Int) : Int {\n let range = Nat.fromInt(toExclusive - fromInclusive - 1);\n Nat64.toNat(uniform64(Nat64.fromNat(range))) + fromInclusive\n };\n\n };\n\n /// @deprecated M0235\n public class AsyncRandom(state : State, generator : () -> async* Blob) {\n\n func nextBit() : async* Bool {\n if (0 : Nat8 == state.bitMask) {\n state.bits := await* nat8();\n state.bitMask := 0x40;\n 0 : Nat8 != state.bits & (0x80 : Nat8)\n } else {\n let m = state.bitMask;\n state.bitMask >>= (1 : Nat8);\n 0 : Nat8 != state.bits & m\n }\n };\n\n /// Random choice between `true` and `false`.\n /// @deprecated M0235\n public func bool() : async* Bool {\n await* nextBit()\n };\n\n /// Random `Nat8` value in the range [0, 256).\n /// @deprecated M0235\n public func nat8() : async* Nat8 {\n if (state.index >= state.bytes.size()) {\n let newBytes = Blob.toArray(await* generator());\n if (newBytes.size() == 0) {\n Runtime.trap(\"AsyncRandom: generator produced empty Blob\")\n };\n state.bytes := newBytes;\n state.index := 0\n };\n let byte = state.bytes[state.index];\n state.index += 1;\n byte\n };\n\n // Helper function which returns a uniformly sampled `Nat64` in the range `[0, max]`.\n // Uses rejection sampling to ensure uniform distribution even when the range\n // doesn't divide evenly into 2^64. This avoids modulo bias that would occur\n // from simply taking the modulo of a random 64-bit number.\n func uniform64(max : Nat64) : async* Nat64 {\n if (max == 0) {\n return 0\n };\n if (max == Nat64.maxValue) {\n return await* nat64()\n };\n let toExclusive = max + 1;\n // 2^64 - (2^64 % toExclusive) = (2^64-1) - (2^64-1 % toExclusive):\n let cutoff = Nat64.maxValue - (Nat64.maxValue % toExclusive);\n // 2^64 / toExclusive, with toExclusive > 1:\n let multiple = Nat64.fromNat(/* 2^64 */ 0x10000000000000000 / Nat64.toNat(toExclusive));\n loop {\n // Build up a random Nat64 from bytes\n var number = await* nat64();\n // If number is below cutoff, we can use it\n if (number < cutoff) {\n // Scale down to desired range\n return number / multiple\n };\n // Otherwise reject and try again\n }\n };\n\n /// Random `Nat64` value in the range [0, 2^64).\n /// @deprecated M0235\n public func nat64() : async* Nat64 {\n (Nat64.fromNat(Nat8.toNat(await* nat8())) << 56) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 48) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 40) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 32) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 24) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 16) | (Nat64.fromNat(Nat8.toNat(await* nat8())) << 8) | Nat64.fromNat(Nat8.toNat(await* nat8()))\n };\n\n /// Random `Nat64` value in the range [fromInclusive, toExclusive).\n /// @deprecated M0235\n public func nat64Range(fromInclusive : Nat64, toExclusive : Nat64) : async* Nat64 {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"AsyncRandom.nat64Range(): fromInclusive >= toExclusive\")\n };\n (await* uniform64(toExclusive - fromInclusive - 1)) + fromInclusive\n };\n\n /// Random `Nat` value in the range [fromInclusive, toExclusive).\n /// @deprecated M0235\n public func natRange(fromInclusive : Nat, toExclusive : Nat) : async* Nat {\n if (fromInclusive >= toExclusive) {\n Runtime.trap(\"AsyncRandom.natRange(): fromInclusive >= toExclusive\")\n };\n Nat64.toNat(await* uniform64(Nat64.fromNat(toExclusive - fromInclusive - 1))) + fromInclusive\n };\n\n /// Random `Int` value in the range [fromInclusive, toExclusive).\n /// @deprecated M0235\n public func intRange(fromInclusive : Int, toExclusive : Int) : async* Int {\n let range = Nat.fromInt(toExclusive - fromInclusive - 1);\n Nat64.toNat(await* uniform64(Nat64.fromNat(range))) + fromInclusive\n };\n\n };\n\n // Derived from https://github.com/research-ag/prng\n module PRNG {\n let p : Nat64 = 24;\n let q : Nat64 = 11;\n let r : Nat64 = 3;\n\n public type State = {\n var a : Nat64;\n var b : Nat64;\n var c : Nat64;\n var d : Nat64\n };\n\n public func init(seed : Nat64) : State {\n init3(seed, seed, seed)\n };\n\n public func init3(seed1 : Nat64, seed2 : Nat64, seed3 : Nat64) : State {\n let state : State = {\n var a = seed1;\n var b = seed2;\n var c = seed3;\n var d = 1\n };\n for (_ in Nat.range(0, 11)) ignore next(state);\n state\n };\n\n public func next(state : State) : Nat64 {\n let tmp = state.a +% state.b +% state.d;\n state.a := state.b ^ (state.b >> q);\n state.b := state.c +% (state.c << r);\n state.c := (state.c <<> p) +% tmp;\n state.d +%= 1;\n tmp\n }\n }\n\n}\n"},"pure/List.mo":{"content":"/// Purely-functional, singly-linked list data structure.\n/// This module provides immutable lists with efficient prepend and traversal operations.\n///\n/// A list of type `List` is either `null` or an optional pair of a value of type `T` and a tail, itself of type `List`.\n///\n/// To use this library, import it using:\n///\n/// ```motoko name=import\n/// import List \"mo:core/pure/List\";\n/// ```\n\nimport { Array_tabulate } \"mo:⛔\";\nimport Array \"../Array\";\nimport Iter \"../Iter\";\nimport Order \"../Order\";\nimport Result \"../Result\";\nimport { trap } \"../Runtime\";\nimport Types \"../Types\";\nimport Runtime \"../Runtime\";\n\nmodule {\n\n /// @deprecated M0235\n public type List = Types.Pure.List;\n\n /// Create an empty list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.empty() == null;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func empty() : List = null;\n\n /// Check whether a list is empty and return true if the list is empty.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.isEmpty(null);\n /// assert not List.isEmpty(?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func isEmpty(self : List) : Bool = switch self {\n case null true;\n case _ false\n };\n\n /// Return the length of the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.size(list) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func size(self : List) : Nat = (\n func go(n : Nat, list : List) : Nat = switch list {\n case (?(_, t)) go(n + 1, t);\n case null n\n }\n )(0, self);\n\n /// Check whether the list contains a given value. Uses the provided equality function to compare values.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.contains(list, Nat.equal, 2);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func contains(self : List, equal : (implicit : (T, T) -> Bool), item : T) : Bool = switch self {\n case (?(h, t)) equal(h, item) or contains(t, equal, item);\n case _ false\n };\n\n /// Access any item in a list, zero-based.\n ///\n /// NOTE: Indexing into a list is a linear operation, and usually an\n /// indication that a list might not be the best data structure\n /// to use.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.get(list, 1) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func get(self : List, n : Nat) : ?T = switch self {\n case (?(h, t)) if (n == 0) ?h else get(t, n - 1 : Nat);\n case null null\n };\n\n /// Add `item` to the head of `list`, and return the new list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.pushFront(null, 0) == ?(0, null);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func pushFront(self : List, item : T) : List = ?(item, self);\n\n /// Return the last element of the list, if present.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.last(list) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func last(self : List) : ?T = switch self {\n case (?(h, null)) ?h;\n case null null;\n case (?(_, t)) last t\n };\n\n /// Remove the head of the list, returning the optioned head and the tail of the list in a pair.\n /// Returns `(null, null)` if the list is empty.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, null));\n /// assert List.popFront(list) == (?0, ?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func popFront(self : List) : (?T, List) = switch self {\n case null (null, null);\n case (?(h, t)) (?h, t)\n };\n\n /// Reverses the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.reverse(list) == ?(2, ?(1, ?(0, null)));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func reverse(self : List) : List = (\n func go(acc : List, list : List) : List = switch list {\n case (?(h, t)) go(?(h, acc), t);\n case null acc\n }\n )(null, self);\n\n /// Call the given function for its side effect, with each list element in turn.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// var sum = 0;\n /// List.forEach(list, func n = sum += n);\n /// assert sum == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : List, f : T -> ()) = switch self {\n case (?(h, t)) { f h; forEach(t, f) };\n case null ()\n };\n\n /// Call the given function `f` on each list element and collect the results\n /// in a new list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.map(list, Nat.toText) == ?(\"0\", ?(\"1\", ?(\"2\", null)));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func map(self : List, f : T1 -> T2) : List = (\n func go(list : List, f : T1 -> T2, acc : List) : List = switch list {\n case (?(h, t)) go(t, f, ?(f h, acc));\n case null reverse acc\n }\n )(self, f, null);\n\n /// Create a new list with only those elements of the original list for which\n /// the given function (often called the _predicate_) returns true.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.filter(list, func n = n != 1) == ?(0, ?(2, null));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func filter(self : List, f : T -> Bool) : List = (\n func go(list : List, f : T -> Bool, acc : List) : List = switch list {\n case (?(h, t)) if (f h) go(t, f, ?(h, acc)) else go(t, f, acc);\n case null reverse acc\n }\n )(self, f, null);\n\n /// Call the given function on each list element, and collect the non-null results\n /// in a new list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.filterMap(\n /// list,\n /// func n = if (n > 1) ?(n * 2) else null\n /// ) == ?(4, ?(6, null));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func filterMap(self : List, f : T -> ?R) : List = (\n func go(list : List, f : T -> ?R, acc : List) : List = switch list {\n case (?(h, t)) switch (f h) {\n case null go(t, f, acc);\n case (?r) go(t, f, ?(r, acc))\n };\n case null reverse acc\n }\n )(self, f, null);\n\n /// Maps a `Result`-returning function `f` over a `List` and returns either\n /// the first error or a list of successful values.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.mapResult(\n /// list,\n /// func n = if (n > 0) #ok(n * 2) else #err \"Some element is zero\"\n /// ) == #ok(?(2, ?(4, ?(6, null))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapResult(self : List, f : T -> Result.Result) : Result.Result, E> = (\n func rev(acc : List, list : List, f : T -> Result.Result) : Result.Result, E> = switch list {\n case (?(h, t)) switch (f h) {\n case (#ok fh) rev(?(fh, acc), t, f);\n case (#err e) #err e\n };\n case null #ok(reverse acc)\n }\n )(null, self, f);\n\n /// Create two new lists from the results of a given function (`f`).\n /// The first list only includes the elements for which the given\n /// function `f` returns true and the second list only includes\n /// the elements for which the function returns false.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.partition(list, func n = n != 1) == (?(0, ?(2, null)), ?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func partition(self : List, f : T -> Bool) : (List, List) = (\n func go(list : List, f : T -> Bool, acc1 : List, acc2 : List) : (List, List) = switch list {\n case (?(h, t)) if (f h) go(t, f, ?(h, acc1), acc2) else go(t, f, acc1, ?(h, acc2));\n case null (reverse acc1, reverse acc2)\n }\n )(self, f, null, null);\n\n /// Append the elements from one list to another list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list1 = ?(0, ?(1, ?(2, null)));\n /// let list2 = ?(3, ?(4, ?(5, null)));\n /// assert List.concat(list1, list2) == ?(0, ?(1, ?(2, ?(3, ?(4, ?(5, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size(l))\n ///\n /// Space: O(size(l))\n public func concat(self : List, other : List) : List = revAppend(reverse self, other);\n\n /// Flatten, or repatedly concatenate, an iterator of lists as a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let lists = [ ?(0, ?(1, ?(2, null))),\n /// ?(3, ?(4, ?(5, null))) ];\n /// assert List.join(lists |> Iter.fromArray(_)) == ?(0, ?(1, ?(2, ?(3, ?(4, ?(5, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size*size)\n ///\n /// Space: O(size*size)\n public func join(iter : Iter.Iter>) : List {\n var acc : List = null;\n for (list in iter) {\n acc := revAppend(list, acc)\n };\n reverse acc\n };\n\n /// Flatten, or repatedly concatenate, a list of lists as a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let lists = ?(?(0, ?(1, ?(2, null))),\n /// ?(?(3, ?(4, ?(5, null))),\n /// null));\n /// assert List.flatten(lists) == ?(0, ?(1, ?(2, ?(3, ?(4, ?(5, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size*size)\n ///\n /// Space: O(size*size)\n public func flatten(self : List>) : List = (\n func go(lists : List>, acc : List) : List = switch lists {\n case (?(list, t)) go(t, revAppend(list, acc));\n case null reverse acc\n }\n )(self, null);\n\n /// Returns the first `n` elements of the given list.\n /// If the given list has fewer than `n` elements, this function returns\n /// a copy of the full input list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.take(list, 2) == ?(0, ?(1, null));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n public func take(self : List, n : Nat) : List = (\n func go(n : Nat, list : List, acc : List) : List = if (n == 0) reverse acc else switch list {\n case (?(h, t)) go(n - 1 : Nat, t, ?(h, acc));\n case null reverse acc\n }\n )(n, self, null);\n\n /// Drop the first `n` elements from the given list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.drop(list, 2) == ?(2, null);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(1)\n public func drop(self : List, n : Nat) : List = if (n == 0) self else switch self {\n case (?(_, t)) drop(t, n - 1 : Nat);\n case null null\n };\n\n /// Collapses the elements in `list` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.foldLeft(\n /// list,\n /// \"\",\n /// func (acc, x) = acc # Nat.toText(x)\n /// ) == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: O(size(list))\n ///\n /// Space: O(1) heap, O(1) stack\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : List, base : A, combine : (A, T) -> A) : A = switch self {\n case null base;\n case (?(h, t)) foldLeft(t, combine(base, h), combine)\n };\n\n /// Collapses the elements in `buffer` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.foldRight(\n /// list,\n /// \"\",\n /// func (x, acc) = Nat.toText(x) # acc\n /// ) == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: O(size(list))\n ///\n /// Space: O(1) heap, O(size(list)) stack\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldRight(self : List, base : A, combine : (T, A) -> A) : A = (\n func go(list : List, base : A, combine : (T, A) -> A) : A = switch list {\n case null base;\n case (?(h, t)) go(t, combine(h, base), combine)\n }\n )(reverse self, base, combine);\n\n /// Return the first element for which the given predicate `f` is true,\n /// if such an element exists.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.find(list, func n = n > 1) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func find(self : List, f : T -> Bool) : ?T = switch self {\n case null null;\n case (?(h, t)) if (f h) ?h else find(t, f)\n };\n\n /// Return the first index for which the given predicate `f` is true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromArray(['A', 'B', 'C', 'D']);\n /// let found = List.findIndex(list, func(x) { x == 'C' });\n /// assert found == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func findIndex(self : List, f : T -> Bool) : ?Nat {\n findIndex_(self, 0, f)\n };\n\n private func findIndex_(self : List, index : Nat, f : T -> Bool) : ?Nat = switch self {\n case null null;\n case (?(h, t)) if (f h) ?index else findIndex_(t, index + 1, f)\n };\n\n /// Return true if the given predicate `f` is true for all list\n /// elements.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert not List.all(list, func n = n > 1);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func all(self : List, f : T -> Bool) : Bool = switch self {\n case null true;\n case (?(h, t)) f h and all(t, f)\n };\n\n /// Return true if there exists a list element for which\n /// the given predicate `f` is true.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.any(list, func n = n > 1);\n /// }\n /// ```\n ///\n /// Runtime: O(size(list))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func any(self : List, f : T -> Bool) : Bool = switch self {\n case null false;\n case (?(h, t)) f h or any(t, f)\n };\n\n /// Merge two ordered lists into a single ordered list.\n /// This function requires both list to be ordered as specified\n /// by the given relation `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list1 = ?(1, ?(2, ?(4, null)));\n /// let list2 = ?(2, ?(4, ?(6, null)));\n /// assert List.merge(list1, list2, Nat.compare) == ?(1, ?(2, ?(2, ?(4, ?(4, ?(6, null))))));\n /// }\n /// ```\n ///\n /// Runtime: O(size(l1) + size(l2))\n ///\n /// Space: O(size(l1) + size(l2))\n ///\n /// *Runtime and space assumes that `lessThanOrEqual` runs in O(1) time and space.\n public func merge(self : List, other : List, compare : (implicit : (T, T) -> Order.Order)) : List = (\n func go(list1 : List, list2 : List, compare : (T, T) -> Order.Order, acc : List) : List = switch (list1, list2) {\n case ((null, l) or (l, null)) reverse(revAppend(l, acc));\n case (?(h1, t1), ?(h2, t2)) switch (compare(h1, h2)) {\n case (#less or #equal) go(t1, list2, compare, ?(h1, acc));\n case (#greater) go(list1, t2, compare, ?(h2, acc))\n }\n }\n )(self, other, compare, null);\n\n /// Check if two lists are equal using the given equality function to compare elements.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list1 = ?(1, ?(2, null));\n /// let list2 = ?(1, ?(2, null));\n /// assert List.equal(list1, list2, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equalItem` runs in O(1) time and space.\n public func equal(self : List, other : List, equalItem : (implicit : (equal : (T, T) -> Bool))) : Bool = switch (self, other) {\n case (null, null) true;\n case (?(h1, t1), ?(h2, t2)) equalItem(h1, h2) and equal(t1, t2, equalItem);\n case _ false\n };\n\n /// Compare two lists using lexicographic ordering specified by argument function `compareItem`.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list1 = ?(1, ?(2, null));\n /// let list2 = ?(3, ?(4, null));\n /// assert List.compare(list1, list2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: O(size(l1))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that argument `compare` runs in O(1) time and space.\n public func compare(self : List, other : List, compareItem : (implicit : (compare : (T, T) -> Order.Order))) : Order.Order = switch (self, other) {\n case (?(h1, t1), ?(h2, t2)) switch (compareItem(h1, h2)) {\n case (#equal) compare(t1, t2, compareItem);\n case o o\n };\n case (null, null) #equal;\n case (null, _) #less;\n case _ #greater\n };\n\n /// Generate a list based on a length and a function that maps from\n /// a list index to a list element.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.tabulate(3, func n = n * 2);\n /// assert list == ?(0, ?(2, ?(4, null)));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func tabulate(n : Nat, f : Nat -> T) : List {\n var i = 0;\n var l : List = null;\n while (i < n) {\n l := ?(f i, l);\n i += 1\n };\n reverse l\n };\n\n /// Create a list with exactly one element.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// assert List.singleton(0) == ?(0, null);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func singleton(item : T) : List = ?(item, null);\n\n /// Create a list of the given length with the same value in each position.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.repeat('a', 3);\n /// assert list == ?('a', ?('a', ?('a', null)));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n public func repeat(item : T, n : Nat) : List {\n var res : List = null;\n var i : Int = n;\n while (i != 0) {\n i -= 1;\n res := ?(item, res)\n };\n res\n };\n\n /// Create a list of pairs from a pair of lists.\n ///\n /// If the given lists have different lengths, then the created list will have a\n /// length equal to the length of the smaller list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list1 = ?(0, ?(1, ?(2, null)));\n /// let list2 = ?(\"0\", ?(\"1\", null));\n /// assert List.zip(list1, list2) == ?((0, \"0\"), ?((1, \"1\"), null));\n /// }\n /// ```\n ///\n /// Runtime: O(min(size(xs), size(ys)))\n ///\n /// Space: O(min(size(xs), size(ys)))\n public func zip(self : List, other : List) : List<(T, U)> = zipWith(self, other, func(x, y) = (x, y));\n\n /// Create a list in which elements are created by applying function `f` to each pair `(x, y)` of elements\n /// occuring at the same position in list `xs` and list `ys`.\n ///\n /// If the given lists have different lengths, then the created list will have a\n /// length equal to the length of the smaller list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n /// import Char \"mo:core/Char\";\n ///\n /// persistent actor {\n /// let list1 = ?(0, ?(1, ?(2, null)));\n /// let list2 = ?('a', ?('b', null));\n /// assert List.zipWith(\n /// list1,\n /// list2,\n /// func (n, c) = Nat.toText(n) # Char.toText(c)\n /// ) == ?(\"0a\", ?(\"1b\", null));\n /// }\n /// ```\n ///\n /// Runtime: O(min(size(xs), size(ys)))\n ///\n /// Space: O(min(size(xs), size(ys)))\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func zipWith(self : List, other : List, f : (T, U) -> V) : List = (\n func go(list1 : List, list2 : List, f : (T, U) -> V, acc : List) : List = switch (list1, list2) {\n case ((null, _) or (_, null)) reverse acc;\n case (?(h1, t1), ?(h2, t2)) go(t1, t2, f, ?(f(h1, h2), acc))\n }\n )(self, other, f, null);\n\n /// Split the given list at the given zero-based index.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, null)));\n /// assert List.split(list, 2) == (?(0, ?(1, null)), ?(2, null));\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n ///\n /// Space: O(n)\n public func split(self : List, n : Nat) : (List, List) {\n func go(n : Nat, list : List, acc : List) : (List, List) = if (n == 0) (reverse acc, list) else switch list {\n case (?(h, t)) go(n - 1 : Nat, t, ?(h, acc));\n case null (reverse acc, null)\n };\n go(n, self, null)\n };\n\n /// Split the given list into chunks of length `n`.\n /// The last chunk will be shorter if the length of the given list\n /// does not divide by `n` evenly. Traps if `n` = 0.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// assert List.chunks(list, 2) == ?(?(0, ?(1, null)), ?(?(2, ?(3, null)), ?(?(4, null), null)));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func chunks(self : List, n : Nat) : List> {\n if (n == 0) trap \"pure/List.chunks()\";\n func go(list : List, n : Nat, acc : List>) : List> = switch (split(list, n)) {\n case (null, _) reverse acc;\n case (pre, null) reverse(?(pre, acc));\n case (pre, post) go(post, n, ?(pre, acc))\n };\n go(self, n, null)\n };\n\n /// Returns an iterator to the elements in the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = List.fromArray([3, 1, 4]);\n /// var text = \"\";\n /// for (item in List.values(list)) {\n /// text #= Nat.toText(item);\n /// };\n /// assert text == \"314\";\n /// }\n /// ```\n public func values(self : List) : Iter.Iter = object {\n var l = self;\n public func next() : ?T = switch l {\n case null null;\n case (?(h, t)) {\n l := t;\n ?h\n }\n }\n };\n\n /// Returns an iterator to the `(index, element)` pairs in the list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = List.fromArray([3, 1, 4]);\n /// var text = \"\";\n /// for ((index, element) in List.enumerate(list)) {\n /// text #= Nat.toText(index);\n /// };\n /// assert text == \"012\";\n /// }\n /// ```\n public func enumerate(self : List) : Iter.Iter<(Nat, T)> = object {\n var i = 0;\n var l = self;\n public func next() : ?(Nat, T) = switch l {\n case null null;\n case (?(h, t)) {\n l := t;\n let index = i;\n i += 1;\n ?(index, h)\n }\n }\n };\n\n /// Convert an array into a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromArray([0, 1, 2, 3, 4]);\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromArray(array : [T]) : List {\n func go(from : Nat) : List = if (from < array.size()) ?(array.get from, go(from + 1)) else null;\n go 0\n };\n\n /// Convert a mutable array into a list.\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromVarArray([var 0, 1, 2, 3, 4]);\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromVarArray(array : [var T]) : List = fromArray(Array.fromVarArray(array));\n\n /// Create an array from a list.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Array \"mo:core/Array\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let array = List.toArray(?(0, ?(1, ?(2, ?(3, ?(4, null))))));\n /// assert Array.equal(array, [0, 1, 2, 3, 4], Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toArray(self : List) : [T] {\n var l = self;\n Array_tabulate(size self, func _ { let ?(h, t) = l else Runtime.trap(\"List.toArray(): unreachable\"); l := t; h })\n };\n\n /// Create a mutable array from a list.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Array \"mo:core/Array\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let array = List.toVarArray(?(0, ?(1, ?(2, ?(3, ?(4, null))))));\n /// assert Array.equal(Array.fromVarArray(array), [0, 1, 2, 3, 4], Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toVarArray(self : List) : [var T] = Array.toVarArray(toArray(self));\n\n /// Create a list from an iterator, consuming the iterator.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// let list = List.fromIter([0, 1, 2, 3, 4].vals());\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromIter(iter : Iter.Iter) : List {\n var result : List = null;\n for (x in iter) {\n result := ?(x, result)\n };\n reverse result\n };\n\n /// Convert an iterator to a list, consuming the iterator.\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n ///\n /// persistent actor {\n /// transient let iter = [0, 1, 2, 3, 4].vals();\n ///\n /// let list = iter.toList();\n ///\n /// assert list == ?(0, ?(1, ?(2, ?(3, ?(4, null)))));\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toList(self : Iter.Iter) : List {\n fromIter(self)\n };\n\n /// Convert a list to a text representation using the provided function to convert each element to text.\n /// The resulting text will be in the format \"[element1, element2, ...]\".\n ///\n /// Example:\n /// ```motoko\n /// import List \"mo:core/pure/List\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let list = ?(1, ?(2, ?(3, null)));\n /// assert List.toText(list, Nat.toText) == \"PureList[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toText(self : List, f : (implicit : T -> Text)) : Text {\n var text = \"PureList[\";\n var first = true;\n forEach(\n self,\n func(item : T) {\n if first {\n first := false\n } else {\n text #= \", \"\n };\n text #= f item\n }\n );\n text # \"]\"\n };\n\n // revAppend([x1 .. xn], [y1 .. ym]) = [xn .. x1, y1 .. ym]\n func revAppend(l : List, m : List) : List = switch l {\n case (?(h, t)) revAppend(t, ?(h, m));\n case null m\n }\n}\n"},"pure/Map.mo":{"content":"/// Immutable, ordered key-value maps.\n///\n/// The map type is stable whenever the key and value types are stable, allowing\n/// map values to be stored in stable variables.\n///\n/// Keys are ordered by an explicit `compare` function, which *must* be the same\n/// across all operations on a given map.\n///\n///\n/// Example:\n/// ```motoko\n/// import Map \"mo:core/pure/Map\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// // creation\n/// let empty = Map.empty();\n/// // insertion\n/// let map1 = Map.add(empty, Nat.compare, 0, \"Zero\");\n/// // retrieval\n/// assert Map.get(empty, Nat.compare, 0) == null;\n/// assert Map.get(map1, Nat.compare, 0) == ?\"Zero\";\n/// // removal\n/// let map2 = Map.remove(map1, Nat.compare, 0);\n/// assert not Map.isEmpty(map1);\n/// assert Map.isEmpty(map2);\n/// }\n/// ```\n///\n/// The internal representation is a red-black tree.\n///\n/// A red-black tree is a balanced binary search tree ordered by the keys.\n///\n/// The tree data structure internally colors each of its nodes either red or black,\n/// and uses this information to balance the tree during the modifying operations.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire tree.\n/// `n` denotes the number of key-value entries (i.e. nodes) stored in the tree.\n///\n/// Note:\n/// * Map operations, such as retrieval, insertion, and removal create `O(log(n))` temporary objects that become garbage.\n///\n/// Credits:\n///\n/// The core of this implementation is derived from:\n///\n/// * Ken Friis Larsen's [RedBlackMap.sml](https://github.com/kfl/mosml/blob/master/src/mosmllib/Redblackmap.sml), which itself is based on:\n/// * Stefan Kahrs, \"Red-black trees with types\", Journal of Functional Programming, 11(4): 425-432 (2001), [version 1 in web appendix](http://www.cs.ukc.ac.uk/people/staff/smk/redblack/rb.html).\n\nimport Order \"../Order\";\nimport Iter \"../Iter\";\nimport Types \"../Types\";\nimport Runtime \"../Runtime\";\n\n// TODO: inline Internal?\n// TODO: Do we want clone or clear, just to match imperative API?\n// inline Tree type, remove Types.Pure.Tree?\n\nmodule {\n\n /// @deprecated M0235\n public type Map = Types.Pure.Map;\n\n type Tree = Types.Pure.Map.Tree;\n\n /// Create a new empty immutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Map {\n Internal.empty()\n };\n\n /// Determines whether a key-value map is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map0 = Map.empty();\n /// let map1 = Map.add(map0, Nat.compare, 0, \"Zero\");\n ///\n /// assert Map.isEmpty(map0);\n /// assert not Map.isEmpty(map1);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Map) : Bool {\n self.size == 0\n };\n\n /// Determine the size of the map as the number of key-value entries.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.size(map) == 3;\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func size(self : Map) : Nat = self.size;\n\n /// Test whether the map `map`, ordered by `compare`, contains a binding for the given `key`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.containsKey(map, Nat.compare, 1);\n /// assert not Map.containsKey(map, Nat.compare, 42);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func containsKey(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Bool = Internal.contains(self.root, compare, key);\n\n /// Given, `map` ordered by `compare`, return the value associated with key `key` if present and `null` otherwise.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.get(map, Nat.compare, 1) == ?\"One\";\n /// assert Map.get(map, Nat.compare, 42) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func get(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : ?V = Internal.get(self.root, compare, key);\n\n /// Given `map` ordered by `compare`, insert a mapping from `key` to `value`.\n /// Returns the modified map and `true` if the key is new to map, otherwise `false`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 = Map.empty();\n ///\n /// do {\n /// let (map1, new1) = Map.insert(map0, Nat.compare, 0, \"Zero\");\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Zero\")];\n /// assert new1;\n /// let (map2, new2) = Map.insert(map1, Nat.compare, 0, \"Nil\");\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Nil\")];\n /// assert not new2\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `m := Map.add(m, cmp, k, v)`)\n /// causes collecting `O(log(n))` nodes.\n public func insert(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : (Map, Bool) {\n switch (swap(self, compare, key, value)) {\n case (map1, null) (map1, true);\n case (map1, _) (map1, false)\n }\n };\n\n /// Given `map` ordered by `compare`, add a new mapping from `key` to `value`.\n /// Replaces any existing entry with key `key`.\n /// Returns the modified map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// var map = Map.empty();\n ///\n /// map := Map.add(map, Nat.compare, 0, \"Zero\");\n /// map := Map.add(map, Nat.compare, 1, \"One\");\n /// map := Map.add(map, Nat.compare, 0, \"Nil\");\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `m := Map.add(m, cmp, k, v)`)\n /// causes collecting `O(log(n))` nodes.\n public func add(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : Map {\n swap(self, compare, key, value).0\n };\n\n /// Given `map` ordered by `compare`, add a mapping from `key` to `value`. Overwrites any existing entry with key `key`.\n /// Returns the modified map and the previous value associated with key `key`\n /// or `null` if no such value exists.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// do {\n /// let (map1, old1) = Map.swap(map0, Nat.compare, 0, \"Nil\");\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Nil\"), (1, \"One\"), (2, \"Two\")];\n /// assert old1 == ?\"Zero\";\n ///\n /// let (map2, old2) = Map.swap(map0, Nat.compare, 3, \"Three\");\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\"), (3, \"Three\")];\n /// assert old2 == null;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `m := Map.swap(m, Nat.compare, k, v).0`)\n /// causes collecting `O(log(n))` nodes.\n public func swap(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : (Map, ?V) {\n switch (Internal.swap(self.root, compare, key, value)) {\n case (t, null) { ({ root = t; size = self.size + 1 }, null) };\n case (t, v) { ({ root = t; size = self.size }, v) }\n }\n };\n\n /// Overwrites the value of an existing key and returns the updated map and previous value.\n /// If the key does not exist, returns the original map and `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let singleton = Map.singleton(0, \"Zero\");\n ///\n /// do {\n /// let (map1, prev1) = Map.replace(singleton, Nat.compare, 0, \"Nil\"); // overwrites the value for existing key.\n /// assert prev1 == ?\"Zero\";\n /// assert Map.get(map1, Nat.compare, 0) == ?\"Nil\";\n ///\n /// let (map2, prev2) = Map.replace(map1, Nat.compare, 1, \"One\"); // no effect, key is absent\n /// assert prev2 == null;\n /// assert Map.get(map2, Nat.compare, 1) == null;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func replace(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : (Map, ?V) {\n // TODO: Could be optimized in future\n if (containsKey(self, compare, key)) {\n swap(self, compare, key, value)\n } else { (self, null) }\n };\n\n /// Given a `map`, ordered by `compare`, deletes any entry for `key` from `map`.\n /// Has no effect if `key` is not present in the map.\n /// Returns the updated map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 =\n /// Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// let map1 = Map.remove(map0, Nat.compare, 1);\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Zero\"), (2, \"Two\")];\n /// let map2 = Map.remove(map0, Nat.compare, 42);\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `map := Map.delete(map, compare, k).0`)\n /// causes collecting `O(log(n))` nodes.\n public func remove(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Map {\n switch (Internal.remove(self.root, compare, key)) {\n case (_, null) self;\n case (t, ?_) { { root = t; size = self.size - 1 } }\n }\n };\n\n /// Given a `map`, ordered by `compare`, deletes any entry for `key` from `map`.\n /// Has no effect if `key` is not present in the map.\n /// Returns the updated map and `true` if the `key` was present in `map`, otherwise `false`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 =\n /// Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// do {\n /// let (map1, pres1) = Map.delete(map0, Nat.compare, 1);\n /// assert Iter.toArray(Map.entries(map1)) == [(0, \"Zero\"), (2, \"Two\")];\n /// assert pres1;\n /// let (map2, pres2) = Map.delete(map0, Nat.compare, 42);\n /// assert not pres2;\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `map := Map.delete(map, compare, k).0`)\n /// causes collecting `O(log(n))` nodes.\n public func delete(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : (Map, Bool) {\n switch (Internal.remove(self.root, compare, key)) {\n case (_, null) { (self, false) };\n case (t, ?_) { ({ root = t; size = self.size - 1 }, true) }\n }\n };\n\n /// Given a `map`, ordered by `compare`, deletes the entry for `key`. Returns a modified map, leaving `map` unchanged, and the\n /// previous value associated with `key` or `null` if no such value exists.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map0 = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// do {\n /// let (map1, prev1) = Map.take(map0, Nat.compare, 0);\n /// assert Iter.toArray(Map.entries(map1)) == [(1, \"One\"), (2, \"Two\")];\n /// assert prev1 == ?\"Zero\";\n ///\n /// let (map2, prev2) = Map.take(map0, Nat.compare, 42);\n /// assert Iter.toArray(Map.entries(map2)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// assert prev2 == null;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned map shares with the `m` most of the tree nodes.\n /// Garbage collecting one of maps (e.g. after an assignment `map := Map.remove(map, compare, key)`)\n /// causes collecting `O(log(n))` nodes.\n public func take(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : (Map, ?V) {\n switch (Internal.remove(self.root, compare, key)) {\n case (t, null) { ({ root = t; size = self.size }, null) };\n case (t, v) { ({ root = t; size = self.size - 1 }, v) }\n }\n };\n\n /// Given a `map` retrieves the key-value pair in `map` with a maximal key. If `map` is empty returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.maxEntry(map) == ?(2, \"Two\");\n /// assert Map.maxEntry(Map.empty()) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func maxEntry(self : Map) : ?(K, V) = Internal.maxEntry(self.root);\n\n /// Retrieves a key-value pair from `map` with the minimal key. If the map is empty returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Map.minEntry(map) == ?(0, \"Zero\");\n /// assert Map.minEntry(Map.empty()) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func minEntry(self : Map) : ?(K, V) = Internal.minEntry(self.root);\n\n /// Returns an Iterator (`Iter`) over the key-value pairs in the map.\n /// Iterator provides a single method `next()`, which returns\n /// pairs in ascending order by keys, or `null` when out of pairs to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.entries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func entries(self : Map) : Iter.Iter<(K, V)> = Internal.iter(self.root, #fwd);\n\n /// Returns an Iterator (`Iter`) over the key-value pairs in the map.\n /// Iterator provides a single method `next()`, which returns\n /// pairs in descending order by keys, or `null` when out of pairs to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.reverseEntries(map)) == [(2, \"Two\"), (1, \"One\"), (0, \"Zero\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.reverseEntries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"TwoOneZero\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func reverseEntries(self : Map) : Iter.Iter<(K, V)> = Internal.iter(self.root, #bwd);\n\n /// Given a `map`, returns an Iterator (`Iter`) over the keys of the `map`.\n /// Iterator provides a single method `next()`, which returns\n /// keys in ascending order, or `null` when out of keys to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.keys(map)) == [0, 1, 2];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func keys(self : Map) : Iter.Iter = Iter.map(entries(self), func(kv : (K, V)) : K { kv.0 });\n\n /// Given a `map`, returns an Iterator (`Iter`) over the values of the map.\n /// Iterator provides a single method `next()`, which returns\n /// values in ascending order of associated keys, or `null` when out of values to iterate over.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.values(map)) == [\"Zero\", \"One\", \"Two\"];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(log(n))` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func values(self : Map) : Iter.Iter = Iter.map(entries(self), func(kv : (K, V)) : V { kv.1 });\n\n /// Returns a new map, containing all entries given by the iterator `i`.\n /// If there are multiple entries with the same key the last one is taken.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = Map.fromIter(iter, Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func fromIter(iter : Iter.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map = Internal.fromIter(iter, compare);\n\n /// Convert an iterator of entries into a map.\n /// If there are multiple entries with the same key the last one is taken.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = iter.toMap(Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func toMap(self : Iter.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map = Internal.fromIter(self, compare);\n\n /// Given a `map` and function `f`, creates a new map by applying `f` to each entry in the map `m`. Each entry\n /// `(k, v)` in the old map is transformed into a new entry `(k, v2)`, where\n /// the new value `v2` is created by applying `f` to `(k, v)`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, _val : Text) : Nat = key * 2;\n ///\n /// let resMap = Map.map(map, f);\n ///\n /// assert Iter.toArray(Map.entries(resMap)) == [(0, 0), (1, 2), (2, 4)];\n /// }\n /// ```\n ///\n /// Cost of mapping all the elements:\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory\n /// where `n` denotes the number of key-value entries stored in the map.\n public func map(self : Map, f : (K, V1) -> V2) : Map = Internal.map(self, f);\n\n /// Collapses the elements in the `map` into a single value by starting with `base`\n /// and progressively combining keys and values into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(accum : (Nat, Text), key : Nat, val : Text) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldLeft(map, (0, \"\"), folder) == (3, \"ZeroOneTwo\");\n /// }\n /// ```\n ///\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: depends on `combine` function plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func foldLeft(\n self : Map,\n base : A,\n combine : (A, K, V) -> A\n ) : A = Internal.foldLeft(self.root, base, combine);\n\n /// Collapses the elements in the `map` into a single value by starting with `base`\n /// and progressively combining keys and values into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(key : Nat, val : Text, accum : (Nat, Text)) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldRight(map, (0, \"\"), folder) == (3, \"TwoOneZero\");\n /// }\n /// ```\n ///\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: depends on `combine` function plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Full map iteration creates `O(n)` temporary objects that will be collected as garbage.\n public func foldRight(\n self : Map,\n base : A,\n combine : (K, V, A) -> A\n ) : A = Internal.foldRight(self.root, base, combine);\n\n /// Test whether all key-value pairs in `map` satisfy the given predicate `pred`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.all(map, func (k, v) = v == Nat.toText(k));\n /// assert not Map.all(map, func (k, v) = k < 2);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func all(self : Map, pred : (K, V) -> Bool) : Bool = Internal.all(self.root, pred);\n\n /// Test if any key-value pair in `map` satisfies the given predicate `pred`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.any(map, func (k, v) = (k >= 0));\n /// assert not Map.any(map, func (k, v) = (k >= 3));\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func any(self : Map, pred : (K, V) -> Bool) : Bool = Internal.any(self.root, pred);\n\n /// Create a new immutable key-value `map` with a single entry.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(0, \"Zero\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(key : K, value : V) : Map {\n {\n size = 1;\n root = #red(#leaf, key, value, #leaf)\n }\n };\n\n /// Apply an operation for each key-value pair contained in the map.\n /// The operation is applied in ascending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// var sum = 0;\n /// var text = \"\";\n /// Map.forEach(map, func (key, value) {\n /// sum += key;\n /// text #= value;\n /// });\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func forEach(self : Map, operation : (K, V) -> ()) = Internal.forEach(self, operation);\n\n /// Filter entries in a new map.\n /// Returns a new map that only contains the key-value pairs\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numberNames = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// let evenNames = Map.filter(numberNames, Nat.compare, func (key, value) {\n /// key % 2 == 0\n /// });\n ///\n /// assert Iter.toArray(Map.entries(evenNames)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Map, compare : (implicit : (K, K) -> Order.Order), criterion : (K, V) -> Bool) : Map = Internal.filter(self, compare, criterion);\n\n /// Given a `map`, comparison `compare` and function `f`,\n /// constructs a new map ordered by `compare`, by applying `f` to each entry in `map`.\n /// For each entry `(k, v)` in the old map, if `f` evaluates to `null`, the entry is discarded.\n /// Otherwise, the entry is transformed into a new entry `(k, v2)`, where\n /// the new value `v2` is the result of applying `f` to `(k, v)`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, val : Text) : ?Text {\n /// if(key == 0) {null}\n /// else { ?(\"Twenty \" # val)}\n /// };\n ///\n /// let newMap = Map.filterMap(map, Nat.compare, f);\n ///\n /// assert Iter.toArray(Map.entries(newMap)) == [(1, \"Twenty One\"), (2, \"Twenty Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Map, compare : (implicit : (K, K) -> Order.Order), f : (K, V1) -> ?V2) : Map = Internal.mapFilter(self, compare : (K, K) -> Order.Order, f);\n\n /// Validate the representation invariants of the given `map`.\n /// Assert if any invariants are violated.\n public func assertValid(self : Map, compare : (implicit : (K, K) -> Order.Order)) : () = Internal.validate(self, compare);\n\n /// Converts the `map` to its textual representation using `keyFormat` and `valueFormat` to convert each key and value to `Text`.\n ///\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// assert Map.toText(map, Nat.toText, func t { t }) == \"PureMap{(0, Zero), (1, One), (2, Two)}\";\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `keyFormat` and `valueFormat` run in O(1) time and space.\n public func toText(self : Map, keyFormat : (implicit : (toText : K -> Text)), valueFormat : (implicit : (toText : V -> Text))) : Text {\n var text = \"PureMap{\";\n var sep = \"\";\n for ((k, v) in entries(self)) {\n text #= sep # \"(\" # keyFormat(k) # \", \" # valueFormat(v) # \")\";\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Test whether two immutable maps have equal entries.\n /// Assumes both maps are ordered equivalently.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter([(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(), Nat.compare);\n /// let map2 = Map.fromIter([(2, \"Two\"), (1, \"One\"), (0, \"Zero\")].values(), Nat.compare);\n /// assert(Map.equal(map1, map2, Nat.compare, Text.equal));\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func equal(self : Map, other : Map, compare : (implicit : (K, K) -> Order.Order), equal : (implicit : (V, V) -> Bool)) : Bool {\n if (self.size != other.size) {\n return false\n };\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n let next1 = iterator1.next();\n let next2 = iterator2.next();\n switch (next1, next2) {\n case (null, null) {\n return true\n };\n case (?(key1, value1), ?(key2, value2)) {\n if (not (compare(key1, key2) == #equal) or not equal(value1, value2)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Compare two maps by primarily comparing keys and secondarily values.\n /// Both maps are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `map1` is less than `map2` if:\n /// * the pairwise iteration hits a entry pair `entry1` and `entry2` where\n /// `entry1` is less than `entry2` and all preceding entry pairs are equal, or,\n /// * `map1` is a strict prefix of `map2`, i.e. `map2` has more entries than `map1`\n /// and all entries of `map1` occur at the beginning of iteration `map2`.\n /// `entry1` is less than `entry2` if:\n /// * the key of `entry1` is less than the key of `entry2`, or\n /// * `entry1` and `entry2` have equal keys and the value of `entry1` is less than\n /// the value of `entry2`.\n /// Equal:\n /// `map1` and `map2` have same series of equal entries by pairwise iteration.\n /// Greater:\n /// `map1` is neither less nor equal `map2`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter([(0, \"Zero\"), (1, \"One\")].values(), Nat.compare);\n /// let map2 = Map.fromIter([(0, \"Zero\"), (2, \"Two\")].values(), Nat.compare);\n ///\n /// assert Map.compare(map1, map2, Nat.compare, Text.compare) == #less;\n /// assert Map.compare(map1, map1, Nat.compare, Text.compare) == #equal;\n /// assert Map.compare(map2, map1, Nat.compare, Text.compare) == #greater\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that `compareKey` and `compareValue` have runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Map, other : Map, compareKey : (implicit : (compare : (K, K) -> Order.Order)), compareValue : (implicit : (compare : (V, V) -> Order.Order))) : Order.Order {\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?(key1, value1), ?(key2, value2)) {\n let keyComparison = compareKey(key1, key2);\n if (keyComparison != #equal) {\n return keyComparison\n };\n let valueComparison = compareValue(value1, value2);\n if (valueComparison != #equal) {\n return valueComparison\n }\n }\n }\n }\n };\n\n module Internal {\n\n public func empty() : Map { { size = 0; root = #leaf } };\n\n public func fromIter(i : Iter.Iter<(K, V)>, compare : (K, K) -> Order.Order) : Map {\n var map = #leaf : Tree;\n var size = 0;\n for (val in i) {\n map := add(map, compare, val.0, val.1);\n size += 1\n };\n { root = map; size }\n };\n\n type List = Types.Pure.List;\n\n type IterRep = List<{ #tr : Tree; #xy : (K, V) }>;\n\n public func iter(map : Tree, direction : { #fwd; #bwd }) : Iter.Iter<(K, V)> {\n let turnLeftFirst : MapTraverser = func(l, x, y, r, ts) {\n ?(#tr(l), ?(#xy(x, y), ?(#tr(r), ts)))\n };\n\n let turnRightFirst : MapTraverser = func(l, x, y, r, ts) {\n ?(#tr(r), ?(#xy(x, y), ?(#tr(l), ts)))\n };\n\n switch direction {\n case (#fwd) IterMap(map, turnLeftFirst);\n case (#bwd) IterMap(map, turnRightFirst)\n }\n };\n\n type MapTraverser = (Tree, K, V, Tree, IterRep) -> IterRep;\n\n class IterMap(tree : Tree, mapTraverser : MapTraverser) {\n var trees : IterRep = ?(#tr(tree), null);\n public func next() : ?(K, V) {\n switch (trees) {\n case (null) { null };\n case (?(#tr(#leaf), ts)) {\n trees := ts;\n next()\n };\n case (?(#xy(xy), ts)) {\n trees := ts;\n ?xy\n };\n case (?(#tr(#red(l, x, y, r)), ts)) {\n trees := mapTraverser(l, x, y, r, ts);\n next()\n };\n case (?(#tr(#black(l, x, y, r)), ts)) {\n trees := mapTraverser(l, x, y, r, ts);\n next()\n }\n }\n }\n };\n\n public func map(map : Map, f : (K, V1) -> V2) : Map {\n func mapRec(m : Tree) : Tree {\n switch m {\n case (#leaf) { #leaf };\n case (#red(l, x, y, r)) {\n #red(mapRec l, x, f(x, y), mapRec r)\n };\n case (#black(l, x, y, r)) {\n #black(mapRec l, x, f(x, y), mapRec r)\n }\n }\n };\n { size = map.size; root = mapRec(map.root) }\n };\n\n public func foldLeft(\n map : Tree,\n base : Accum,\n combine : (Accum, Key, Value) -> Accum\n ) : Accum {\n switch (map) {\n case (#leaf) { base };\n case (#red(l, k, v, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, k, v);\n foldLeft(r, middle, combine)\n };\n case (#black(l, k, v, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, k, v);\n foldLeft(r, middle, combine)\n }\n }\n };\n\n public func foldRight(\n map : Tree,\n base : Accum,\n combine : (Key, Value, Accum) -> Accum\n ) : Accum {\n switch (map) {\n case (#leaf) { base };\n case (#red(l, k, v, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(k, v, right);\n foldRight(l, middle, combine)\n };\n case (#black(l, k, v, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(k, v, right);\n foldRight(l, middle, combine)\n }\n }\n };\n\n public func forEach(map : Map, operation : (K, V) -> ()) {\n func combine(_acc : Null, key : K, value : V) : Null {\n operation(key, value);\n null\n };\n ignore foldLeft(map.root, null, combine)\n };\n\n public func filter(map : Map, compare : (K, K) -> Order.Order, criterion : (K, V) -> Bool) : Map {\n var size = 0;\n func combine(acc : Tree, key : K, value : V) : Tree {\n if (criterion(key, value)) {\n size += 1;\n add(acc, compare, key, value)\n } else acc\n };\n { root = foldLeft(map.root, #leaf, combine); size }\n };\n\n public func mapFilter(map : Map, compare : (K, K) -> Order.Order, f : (K, V1) -> ?V2) : Map {\n var size = 0;\n func combine(acc : Tree, key : K, value1 : V1) : Tree {\n switch (f(key, value1)) {\n case null { acc };\n case (?value2) {\n size += 1;\n add(acc, compare, key, value2)\n }\n }\n };\n { root = foldLeft(map.root, #leaf, combine); size }\n };\n\n public func get(t : Tree, compare : (K, K) -> Order.Order, x : K) : ?V {\n switch t {\n case (#red(l, x1, y1, r)) {\n switch (compare(x, x1)) {\n case (#less) { get(l, compare, x) };\n case (#equal) { ?y1 };\n case (#greater) { get(r, compare, x) }\n }\n };\n case (#black(l, x1, y1, r)) {\n switch (compare(x, x1)) {\n case (#less) { get(l, compare, x) };\n case (#equal) { ?y1 };\n case (#greater) { get(r, compare, x) }\n }\n };\n case (#leaf) { null }\n }\n };\n\n public func contains(m : Tree, compare : (K, K) -> Order.Order, key : K) : Bool {\n switch (get(m, compare, key)) {\n case (null) { false };\n case (_) { true }\n }\n };\n\n public func maxEntry(m : Tree) : ?(K, V) {\n func rightmost(m : Tree) : (K, V) {\n switch m {\n case (#red(_, k, v, #leaf)) { (k, v) };\n case (#red(_, _, _, r)) { rightmost(r) };\n case (#black(_, k, v, #leaf)) { (k, v) };\n case (#black(_, _, _, r)) { rightmost(r) };\n case (#leaf) { Runtime.trap \"pure/Map.maxEntry() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?rightmost(m) }\n }\n };\n\n public func minEntry(m : Tree) : ?(K, V) {\n func leftmost(m : Tree) : (K, V) {\n switch m {\n case (#red(#leaf, k, v, _)) { (k, v) };\n case (#red(l, _, _, _)) { leftmost(l) };\n case (#black(#leaf, k, v, _)) { (k, v) };\n case (#black(l, _, _, _)) { leftmost(l) };\n case (#leaf) { Runtime.trap \"pure/Map.minEntry() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?leftmost(m) }\n }\n };\n\n public func all(m : Tree, pred : (K, V) -> Bool) : Bool {\n switch m {\n case (#red(l, k, v, r)) {\n pred(k, v) and all(l, pred) and all(r, pred)\n };\n case (#black(l, k, v, r)) {\n pred(k, v) and all(l, pred) and all(r, pred)\n };\n case (#leaf) { true }\n }\n };\n\n public func any(m : Tree, pred : (K, V) -> Bool) : Bool {\n switch m {\n case (#red(l, k, v, r)) {\n pred(k, v) or any(l, pred) or any(r, pred)\n };\n case (#black(l, k, v, r)) {\n pred(k, v) or any(l, pred) or any(r, pred)\n };\n case (#leaf) { false }\n }\n };\n\n func redden(t : Tree) : Tree {\n switch t {\n case (#black(l, x, y, r)) { (#red(l, x, y, r)) };\n case _ {\n Runtime.trap \"pure/Map.redden() impossible\"\n }\n }\n };\n\n func lbalance(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (#red(#red(l1, x1, y1, r1), x2, y2, r2), r) {\n #red(\n #black(l1, x1, y1, r1),\n x2,\n y2,\n #black(r2, x, y, r)\n )\n };\n case (#red(l1, x1, y1, #red(l2, x2, y2, r2)), r) {\n #red(\n #black(l1, x1, y1, l2),\n x2,\n y2,\n #black(r2, x, y, r)\n )\n };\n case _ {\n #black(left, x, y, right)\n }\n }\n };\n\n func rbalance(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, y1, #red(l2, x2, y2, r2))) {\n #red(\n #black(l, x, y, l1),\n x1,\n y1,\n #black(l2, x2, y2, r2)\n )\n };\n case (l, #red(#red(l1, x1, y1, r1), x2, y2, r2)) {\n #red(\n #black(l, x, y, l1),\n x1,\n y1,\n #black(r1, x2, y2, r2)\n )\n };\n case _ {\n #black(left, x, y, right)\n }\n }\n };\n\n type ClashResolver = { old : A; new : A } -> A;\n\n func insertWith(\n m : Tree,\n compare : (K, K) -> Order.Order,\n key : K,\n val : V,\n onClash : ClashResolver\n ) : Tree {\n func ins(tree : Tree) : Tree {\n switch tree {\n case (#black(left, x, y, right)) {\n switch (compare(key, x)) {\n case (#less) {\n lbalance(ins left, x, y, right)\n };\n case (#greater) {\n rbalance(left, x, y, ins right)\n };\n case (#equal) {\n let newVal = onClash({ new = val; old = y });\n #black(left, key, newVal, right)\n }\n }\n };\n case (#red(left, x, y, right)) {\n switch (compare(key, x)) {\n case (#less) {\n #red(ins left, x, y, right)\n };\n case (#greater) {\n #red(left, x, y, ins right)\n };\n case (#equal) {\n let newVal = onClash { new = val; old = y };\n #red(left, key, newVal, right)\n }\n }\n };\n case (#leaf) {\n #red(#leaf, key, val, #leaf)\n }\n }\n };\n switch (ins m) {\n case (#red(left, x, y, right)) {\n #black(left, x, y, right)\n };\n case other { other }\n }\n };\n\n public func swap(\n m : Tree,\n compare : (K, K) -> Order.Order,\n key : K,\n val : V\n ) : (Tree, ?V) {\n var oldVal : ?V = null;\n func onClash(clash : { old : V; new : V }) : V {\n oldVal := ?clash.old;\n clash.new\n };\n let res = insertWith(m, compare, key, val, onClash);\n (res, oldVal)\n };\n\n public func add(\n m : Tree,\n compare : (K, K) -> Order.Order,\n key : K,\n val : V\n ) : Tree = swap(m, compare, key, val).0;\n\n func balLeft(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (#red(l1, x1, y1, r1), r) {\n #red(\n #black(l1, x1, y1, r1),\n x,\n y,\n r\n )\n };\n case (_, #black(l2, x2, y2, r2)) {\n rbalance(left, x, y, #red(l2, x2, y2, r2))\n };\n case (_, #red(#black(l2, x2, y2, r2), x3, y3, r3)) {\n #red(\n #black(left, x, y, l2),\n x2,\n y2,\n rbalance(r2, x3, y3, redden r3)\n )\n };\n case _ { Runtime.trap \"pure/Map.balLeft() impossible\" }\n }\n };\n\n func balRight(left : Tree, x : K, y : V, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, y1, r1)) {\n #red(\n l,\n x,\n y,\n #black(l1, x1, y1, r1)\n )\n };\n case (#black(l1, x1, y1, r1), r) {\n lbalance(#red(l1, x1, y1, r1), x, y, r)\n };\n case (#red(l1, x1, y1, #black(l2, x2, y2, r2)), r3) {\n #red(\n lbalance(redden l1, x1, y1, l2),\n x2,\n y2,\n #black(r2, x, y, r3)\n )\n };\n case _ { Runtime.trap \"pure/Map.balRight() impossible\" }\n }\n };\n\n func append(left : Tree, right : Tree) : Tree {\n switch (left, right) {\n case (#leaf, _) { right };\n case (_, #leaf) { left };\n case (\n #red(l1, x1, y1, r1),\n #red(l2, x2, y2, r2)\n ) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, y3, r3)) {\n #red(\n #red(l1, x1, y1, l3),\n x3,\n y3,\n #red(r3, x2, y2, r2)\n )\n };\n case r1l2 {\n #red(l1, x1, y1, #red(r1l2, x2, y2, r2))\n }\n }\n };\n case (t1, #red(l2, x2, y2, r2)) {\n #red(append(t1, l2), x2, y2, r2)\n };\n case (#red(l1, x1, y1, r1), t2) {\n #red(l1, x1, y1, append(r1, t2))\n };\n case (#black(l1, x1, y1, r1), #black(l2, x2, y2, r2)) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, y3, r3)) {\n #red(\n #black(l1, x1, y1, l3),\n x3,\n y3,\n #black(r3, x2, y2, r2)\n )\n };\n case r1l2 {\n balLeft(\n l1,\n x1,\n y1,\n #black(r1l2, x2, y2, r2)\n )\n }\n }\n }\n }\n };\n\n public func delete(m : Tree, compare : (K, K) -> Order.Order, key : K) : Tree = remove(m, compare, key).0;\n\n public func remove(tree : Tree, compare : (K, K) -> Order.Order, x : K) : (Tree, ?V) {\n var y0 : ?V = null;\n func delNode(left : Tree, x1 : K, y1 : V, right : Tree) : Tree {\n switch (compare(x, x1)) {\n case (#less) {\n let newLeft = del left;\n switch left {\n case (#black(_, _, _, _)) {\n balLeft(newLeft, x1, y1, right)\n };\n case _ {\n #red(newLeft, x1, y1, right)\n }\n }\n };\n case (#greater) {\n let newRight = del right;\n switch right {\n case (#black(_, _, _, _)) {\n balRight(left, x1, y1, newRight)\n };\n case _ {\n #red(left, x1, y1, newRight)\n }\n }\n };\n case (#equal) {\n y0 := ?y1;\n append(left, right)\n }\n }\n };\n func del(tree : Tree) : Tree {\n switch tree {\n case (#red(left, x, y, right)) {\n delNode(left, x, y, right)\n };\n case (#black(left, x, y, right)) {\n delNode(left, x, y, right)\n };\n case (#leaf) {\n tree\n }\n }\n };\n switch (del(tree)) {\n case (#red(left, x, y, right)) { (#black(left, x, y, right), y0) };\n case other { (other, y0) }\n }\n };\n\n // Test helper\n public func validate(rbMap : Map, comp : (K, K) -> Order.Order) {\n ignore blackDepth(rbMap.root, comp)\n };\n\n func blackDepth(node : Tree, comp : (K, K) -> Order.Order) : Nat {\n func checkNode(left : Tree, key : K, right : Tree) : Nat {\n checkKey(left, func(x : K) : Bool { comp(x, key) == #less });\n checkKey(right, func(x : K) : Bool { comp(x, key) == #greater });\n let leftBlacks = blackDepth(left, comp);\n let rightBlacks = blackDepth(right, comp);\n assert (leftBlacks == rightBlacks);\n leftBlacks\n };\n switch node {\n case (#leaf) 0;\n case (#red(left, key, _, right)) {\n let leftBlacks = checkNode(left, key, right);\n assert (not isRed(left));\n assert (not isRed(right));\n leftBlacks\n };\n case (#black(left, key, _, right)) {\n checkNode(left, key, right) + 1\n }\n }\n };\n\n func isRed(node : Tree) : Bool {\n switch node {\n case (#red(_, _, _, _)) true;\n case _ false\n }\n };\n\n func checkKey(node : Tree, isValid : K -> Bool) {\n switch node {\n case (#leaf) {};\n case (#red(_, key, _, _)) {\n assert (isValid(key))\n };\n case (#black(_, key, _, _)) {\n assert (isValid(key))\n }\n }\n }\n };\n\n}\n"},"Error.mo":{"content":"/// Error values and inspection.\n///\n/// The `Error` type is the argument to `throw`, parameter of `catch`.\n/// The `Error` type is opaque.\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Error value resulting from `async` computations\n public type Error = Prim.Types.Error;\n\n /// Error code to classify different kinds of user and system errors:\n /// ```motoko\n /// type ErrorCode = {\n /// // Fatal error.\n /// #system_fatal;\n /// // Transient error.\n /// #system_transient;\n /// // Destination invalid.\n /// #destination_invalid;\n /// // Canister error (e.g., trap, no response).\n /// #canister_error;\n /// // Explicit reject by canister code.\n /// #canister_reject;\n /// // Response unknown; system stopped waiting for it (e.g., timed out, or system under high load).\n /// #system_unknown;\n /// // Future error code (with unrecognized numeric code).\n /// #future : Nat32;\n /// // Error issuing inter-canister call\n /// // (indicating destination queue full or freezing threshold crossed).\n /// #call_error : { err_code : Nat32 }\n /// };\n /// ```\n public type ErrorCode = Prim.ErrorCode;\n\n /// Create an error from the message with the code `#canister_reject`.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n ///\n /// Error.reject(\"Example error\") // can be used as throw argument\n /// ```\n public let reject : (message : Text) -> Error = Prim.error;\n\n /// Returns the code of an error.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n ///\n /// let error = Error.reject(\"Example error\");\n /// Error.code(error) // #canister_reject\n /// ```\n public let code : (self : Error) -> ErrorCode = Prim.errorCode;\n\n /// Returns the message of an error.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n ///\n /// let error = Error.reject(\"Example error\");\n /// Error.message(error) // \"Example error\"\n /// ```\n public let message : (self : Error) -> Text = Prim.errorMessage;\n\n /// Checks if the error is a clean reject.\n /// A clean reject means that there must be no state changes on the callee side.\n public func isCleanReject(self : Error) : Bool = switch (code(self)) {\n case (#system_fatal or #system_transient or #destination_invalid or #call_error _) true;\n case _ false\n };\n\n /// Returns whether retrying to send a message may result in success.\n ///\n /// Example:\n /// ```motoko\n /// import Error \"mo:core/Error\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// persistent actor {\n /// type CallableActor = actor {\n /// call : () -> async ()\n /// };\n ///\n /// public func example(callableActor : CallableActor) {\n /// try {\n /// await (with timeout = 3) callableActor.call();\n /// }\n /// catch e {\n /// if (Error.isRetryPossible e) {\n /// Debug.print(Error.message e);\n /// }\n /// }\n /// }\n /// }\n ///\n /// ```\n public func isRetryPossible(self : Error) : Bool = switch (code(self)) {\n case (#system_transient or #system_unknown) true;\n case _ false\n };\n\n}\n"},"Stack.mo":{"content":"/// A mutable stack data structure.\n/// Elements can be pushed on top of the stack\n/// and removed from top of the stack (LIFO).\n///\n/// Example:\n/// ```motoko\n/// import Stack \"mo:core/Stack\";\n/// import Debug \"mo:core/Debug\";\n///\n/// persistent actor {\n/// let levels = Stack.empty();\n/// Stack.push(levels, \"Inner\");\n/// Stack.push(levels, \"Middle\");\n/// Stack.push(levels, \"Outer\");\n/// assert Stack.pop(levels) == ?\"Outer\";\n/// assert Stack.pop(levels) == ?\"Middle\";\n/// assert Stack.pop(levels) == ?\"Inner\";\n/// assert Stack.pop(levels) == null;\n/// }\n/// ```\n///\n/// The internal implementation is a singly-linked list.\n///\n/// Performance:\n/// * Runtime: `O(1)` for push, pop, and peek operation.\n/// * Space: `O(n)`.\n/// `n` denotes the number of elements stored on the stack.\n\n// TODO: optimize or re-use pure/List operations (e.g. for `any` etc)\n\nimport Order \"Order\";\nimport Iter \"Iter\";\nimport Types \"Types\";\nimport PureList \"pure/List\";\n\nmodule {\n type List = Types.Pure.List;\n public type Stack = Types.Stack;\n\n /// Convert a mutable stack to an immutable, purely functional list.\n /// Please note that functional lists are ordered like stacks (FIFO).\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import PureList \"mo:core/pure/List\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let mutableStack = Stack.empty();\n /// Stack.push(mutableStack, 3);\n /// Stack.push(mutableStack, 2);\n /// Stack.push(mutableStack, 1);\n /// let immutableList = Stack.toPure(mutableStack);\n /// assert Iter.toArray(PureList.values(immutableList)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the stack.\n /// @deprecated M0235\n public func toPure(self : Stack) : PureList.List {\n self.top\n };\n\n public func toArray(self : Stack) : [T] {\n Iter.toArray(values(self))\n };\n\n public func toVarArray(self : Stack) : [var T] {\n Iter.toVarArray(values(self))\n };\n\n /// Convert an immutable, purely functional list to a mutable stack.\n /// Please note that functional lists are ordered like stacks (FIFO).\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import PureList \"mo:core/pure/List\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let immutableList = PureList.fromIter([1, 2, 3].values());\n /// let mutableStack = Stack.fromPure(immutableList);\n /// assert Iter.toArray(Stack.values(mutableStack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the queue.\n /// @deprecated M0235\n public func fromPure(list : PureList.List) : Stack {\n var size = 0;\n var cur = list;\n loop {\n switch cur {\n case (?(_, next)) {\n size += 1;\n cur := next\n };\n case null {\n return { var top = list; var size }\n }\n }\n }\n };\n\n public func fromVarArray(array : [var T]) : Stack {\n fromIter(array.values())\n };\n\n public func fromArray(array : [T]) : Stack {\n fromIter(array.values())\n };\n\n /// Create a new empty mutable stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// assert Stack.size(stack) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Stack {\n {\n var top = null;\n var size = 0\n }\n };\n\n /// Creates a new stack with `size` elements by applying the `generator` function to indices `[0..size-1]`.\n /// Elements are pushed in ascending index order.\n /// Which means that the generated element with the index `0` will be at the bottom of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.tabulate(3, func(i) { 2 * i });\n /// assert Iter.toArray(Stack.values(stack)) == [4, 2, 0];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `generator` has O(1) costs.\n public func tabulate(size : Nat, generator : Nat -> T) : Stack {\n let stack = empty();\n var index = 0;\n while (index < size) {\n let element = generator(index);\n push(stack, element);\n index += 1\n };\n stack\n };\n\n /// Creates a new stack containing a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.singleton(\"motoko\");\n /// assert Stack.peek(stack) == ?\"motoko\";\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func singleton(element : T) : Stack {\n let stack = empty();\n push(stack, element);\n stack\n };\n\n /// Removes all elements from the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// Stack.clear(stack);\n /// assert Stack.isEmpty(stack);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func clear(self : Stack) {\n self.top := null;\n self.size := 0\n };\n\n /// Creates a deep copy of the stack with the same elements in the same order.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let original = Stack.fromIter([3, 2, 1].values());\n /// let copy = Stack.clone(original);\n /// assert Stack.equal(copy, original, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack.\n public func clone(self : Stack) : Stack {\n let copy = empty();\n for (element in values(self)) {\n push(copy, element)\n };\n reverse(copy);\n copy\n };\n\n /// Returns true if the stack contains no elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// assert Stack.isEmpty(stack);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func isEmpty(self : Stack) : Bool {\n self.size == 0\n };\n\n /// Returns the number of elements on the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.size(stack) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func size(self : Stack) : Nat {\n self.size\n };\n\n /// Returns true if the stack contains the specified element.\n /// Uses the provided equality function to compare elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.contains(stack, Nat.equal, 2);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and assuming\n /// that `equal` has O(1) costs.\n public func contains(self : Stack, equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (existing in values(self)) {\n if (equal(existing, element)) {\n return true\n }\n };\n false\n };\n\n public func reverseValues(self : Stack) : Iter.Iter {\n Iter.reverse(values(self))\n };\n\n /// Pushes a new element onto the top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 42);\n /// assert Stack.peek(stack) == ?42;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func push(self : Stack, value : T) {\n self.top := ?(value, self.top);\n self.size += 1\n };\n\n /// Returns the top element of the stack without removing it.\n /// Returns null if the stack is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// assert Stack.peek(stack) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func peek(self : Stack) : ?T {\n switch (self.top) {\n case null null;\n case (?(value, _)) ?value\n }\n };\n\n /// Removes and returns the top element of the stack.\n /// Returns null if the stack is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// assert Stack.pop(stack) == ?1;\n /// assert Stack.pop(stack) == ?2;\n /// assert Stack.pop(stack) == ?3;\n /// assert Stack.pop(stack) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func pop(self : Stack) : ?T {\n switch (self.top) {\n case null null;\n case (?(value, next)) {\n self.top := next;\n self.size -= 1;\n ?value\n }\n }\n };\n\n /// Returns the element at the specified position from the top of the stack.\n /// Returns null if position is out of bounds.\n /// Position 0 is the top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 'c');\n /// Stack.push(stack, 'b');\n /// Stack.push(stack, 'a');\n /// assert Stack.get(stack, 0) == ?'a';\n /// assert Stack.get(stack, 1) == ?'b';\n /// assert Stack.get(stack, 2) == ?'c';\n /// assert Stack.get(stack, 3) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack.\n public func get(self : Stack, position : Nat) : ?T {\n var index = 0;\n var current = self.top;\n while (index < position) {\n switch (current) {\n case null return null;\n case (?(_, next)) {\n current := next\n }\n };\n index += 1\n };\n switch (current) {\n case null null;\n case (?(value, _)) ?value\n }\n };\n\n /// Reverses the order of elements in the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// Stack.reverse(stack);\n /// assert Stack.pop(stack) == ?3;\n /// assert Stack.pop(stack) == ?2;\n /// assert Stack.pop(stack) == ?1;\n /// assert Stack.pop(stack) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack.\n public func reverse(self : Stack) {\n var last : List = null;\n for (element in values(self)) {\n last := ?(element, last)\n };\n self.top := last\n };\n\n /// Returns an iterator over the elements in the stack, from top to bottom.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// assert Iter.toArray(Stack.values(stack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(1) for iterator creation, O(n) for full traversal\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack.\n public func values(self : Stack) : Types.Iter {\n object {\n var current = self.top;\n\n public func next() : ?T {\n switch (current) {\n case null null;\n case (?(value, next)) {\n current := next;\n ?value\n }\n }\n }\n }\n };\n\n /// Returns true if all elements in the stack satisfy the predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([2, 4, 6].values());\n /// assert Stack.all(stack, func(n) = n % 2 == 0);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `predicate` has O(1) costs.\n public func all(self : Stack, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Returns true if any element in the stack satisfies the predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.any(stack, func(n) = n == 2);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming `predicate` has O(1) costs.\n public func any(self : Stack, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Applies the operation to each element in the stack, from top to bottom.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// var text = \"\";\n /// Stack.forEach(stack, func(n) = text #= Nat.toText(n));\n /// assert text == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `operation` has O(1) costs.\n public func forEach(self : Stack, operation : T -> ()) {\n for (element in values(self)) {\n operation(element)\n }\n };\n\n /// Creates a new stack by applying the projection function to each element.\n /// Maintains the original order of elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// let doubled = Stack.map(stack, func(n) { 2 * n });\n /// assert Stack.get(doubled, 0) == ?2;\n /// assert Stack.get(doubled, 1) == ?4;\n /// assert Stack.get(doubled, 2) == ?6;\n /// assert Stack.get(doubled, 3) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `project` has O(1) costs.\n public func map(self : Stack, project : T -> U) : Stack {\n let result = empty();\n for (element in values(self)) {\n push(result, project(element))\n };\n reverse(result);\n result\n };\n\n /// Creates a new stack containing only elements that satisfy the predicate.\n /// Maintains the relative order of elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 4);\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// let evens = Stack.filter(stack, func(n) { n % 2 == 0 });\n /// assert Stack.pop(evens) == ?2;\n /// assert Stack.pop(evens) == ?4;\n /// assert Stack.pop(evens) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming `predicate` has O(1) costs.\n public func filter(self : Stack, predicate : T -> Bool) : Stack {\n let result = empty();\n for (element in values(self)) {\n if (predicate(element)) {\n push(result, element)\n }\n };\n reverse(result);\n result\n };\n\n /// Creates a new stack by applying the projection function to each element\n /// and keeping only the successful results (where project returns ?value).\n /// Maintains the relative order of elements.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.empty();\n /// Stack.push(stack, 4);\n /// Stack.push(stack, 3);\n /// Stack.push(stack, 2);\n /// Stack.push(stack, 1);\n /// let evenDoubled = Stack.filterMap(stack, func(n) {\n /// if (n % 2 == 0) {\n /// ?(n * 2)\n /// } else {\n /// null\n /// }\n /// });\n /// assert Stack.pop(evenDoubled) == ?4;\n /// assert Stack.pop(evenDoubled) == ?8;\n /// assert Stack.pop(evenDoubled) == null;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `project` has O(1) costs.\n public func filterMap(self : Stack, project : T -> ?U) : Stack {\n let result = empty();\n for (element in values(self)) {\n switch (project(element)) {\n case null {};\n case (?newElement) {\n push(result, newElement)\n }\n }\n };\n reverse(result);\n result\n };\n\n /// Return the first element for which the given `predicate` is true,\n /// if such an element exists.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromPure(?(1, ?(2, ?(3, null))));\n /// assert Stack.find(stack, func n = n > 1) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n\n public func find(self : Stack, predicate : T -> Bool) : ?T = PureList.find(self.top, predicate);\n\n /// Return the first index for which the given `predicate` is true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromPure(?('A', ?('B', ?('C', ?('D', null)))));\n /// let found = Stack.findIndex(stack, func x = x == 'C');\n /// assert found == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : Stack, predicate : T -> Bool) : ?Nat = PureList.findIndex(self.top, predicate);\n\n /// Compares two stacks for equality using the provided equality function.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack1 = Stack.fromIter([3, 2, 1].values());\n /// let stack2 = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.equal(stack1, stack2, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `equal` has O(1) costs.\n public func equal(self : Stack, other : Stack, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n let element1 = iterator1.next();\n let element2 = iterator2.next();\n switch (element1, element2) {\n case (null, null) {\n return true\n };\n case (?element1, ?element2) {\n if (not equal(element1, element2)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Creates a new stack from an iterator.\n /// Elements are pushed in iteration order. Which means that the last element\n /// of the iterator will be the first element on top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Iter.toArray(Stack.values(stack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of iterated elements.\n public func fromIter(iter : Types.Iter) : Stack {\n let stack = empty();\n for (element in iter) {\n push(stack, element)\n };\n stack\n };\n\n /// Convert an iterator into a stack.\n /// Elements are pushed in iteration order. Which means that the last element\n /// of the iterator will be the first element on top of the stack.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter = [3, 2, 1].values();\n ///\n /// let stack = iter.toStack();\n ///\n /// assert Iter.toArray(Stack.values(stack)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of iterated elements.\n public func toStack(self : Types.Iter) : Stack {\n fromIter(self)\n };\n\n /// Converts the stack to its string representation using the provided\n /// element formatting function.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.toText(stack, Nat.toText) == \"Stack[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `format` has O(1) costs.\n public func toText(self : Stack, format : (implicit : (toText : T -> Text))) : Text {\n var text = \"Stack[\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # format(element);\n sep := \", \"\n };\n text #= \"]\";\n text\n };\n\n /// Compares two stacks lexicographically using the provided comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Stack \"mo:core/Stack\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let stack1 = Stack.fromIter([2, 1].values());\n /// let stack2 = Stack.fromIter([3, 2, 1].values());\n /// assert Stack.compare(stack1, stack2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// where `n` denotes the number of elements stored on the stack and\n /// assuming that `compare` has O(1) costs.\n public func compare(self : Stack, other : Stack, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n }\n}\n"},"pure/RealTimeQueue.mo":{"content":"/// Double-ended immutable queue with guaranteed `O(1)` push/pop operations (caveat: high constant factor).\n/// For a default immutable queue implementation, see `pure/Queue`.\n///\n/// This module provides an alternative implementation with better worst-case performance for single operations, e.g. `pushBack` and `popFront`.\n/// These operations are always constant time, `O(1)`, which eliminates spikes in performance of `pure/Queue` operations\n/// that are caused by the amortized nature of the `pure/Queue` implementation, which can lead to `O(n)` worst-case performance for a single operation.\n/// The spikes in performance can cause a single message to take multiple more rounds to complete than most other messages.\n///\n/// However, the `O(1)` operations come at a cost of higher constant factor than the `pure/Queue` implementation:\n/// - 'pop' operations are on average 3x more expensive\n/// - 'push' operations are on average 8x more expensive\n///\n/// For better performance across multiple operations and when the spikes in single operations are not a problem, use `pure/Queue`.\n/// For guaranteed `O(1)` operations, use `pure/RealTimeQueue`.\n///\n/// ---\n///\n/// The interface is purely functional, not imperative, and queues are immutable values.\n/// In particular, Queue operations such as push and pop do not update their input queue but, instead, return the\n/// value of the modified Queue, alongside any other data.\n/// The input queue is left unchanged.\n///\n/// Examples of use-cases:\n/// - Queue (FIFO) by using `pushBack()` and `popFront()`.\n/// - Stack (LIFO) by using `pushFront()` and `popFront()`.\n/// - Deque (double-ended queue) by using any combination of push/pop operations on either end.\n///\n/// A Queue is internally implemented as a real-time double-ended queue based on the paper\n/// \"Real-Time Double-Ended Queue Verified (Proof Pearl)\". The implementation maintains\n/// worst-case constant time `O(1)` for push/pop operations through gradual rebalancing steps.\n///\n/// Construction: Create a new queue with the `empty()` function.\n///\n/// Note that some operations that traverse the elements of the queue (e.g. `forEach`, `values`) preserve the order of the elements,\n/// whereas others (e.g. `map`, `contains`) do NOT guarantee that the elements are visited in any order.\n/// The order is undefined to avoid allocations, making these operations more efficient.\n///\n/// ```motoko name=import\n/// import Queue \"mo:core/pure/RealTimeQueue\";\n/// ```\n\nimport Types \"../Types\";\nimport List \"List\";\nimport Option \"../Option\";\nimport { trap } \"../Runtime\";\nimport Iter \"../Iter\";\n\nmodule {\n /// The real-time queue data structure can be in one of the following states:\n ///\n /// - `#empty`: the queue is empty\n /// - `#one`: the queue contains a single element\n /// - `#two`: the queue contains two elements\n /// - `#three`: the queue contains three elements\n /// - `#idles`: the queue is in the idle state, where `l` and `r` are non-empty stacks of elements fulfilling the size invariant\n /// - `#rebal`: the queue is in the rebalancing state\n public type Queue = {\n #empty;\n #one : T;\n #two : (T, T);\n #three : (T, T, T);\n #idles : (Idle, Idle);\n #rebal : States\n };\n\n /// Create a new empty queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func empty() : Queue = #empty;\n\n /// Determine whether a queue is empty.\n /// Returns true if `queue` is empty, otherwise `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func isEmpty(self : Queue) : Bool = switch self {\n case (#empty) true;\n case _ false\n };\n\n /// Create a new queue comprising a single element.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(25);\n /// assert Queue.size(queue) == 1;\n /// assert Queue.peekFront(queue) == ?25;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func singleton(element : T) : Queue = #one(element);\n\n /// Determine the number of elements contained in a queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(42);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func size(self : Queue) : Nat = switch self {\n case (#empty) 0;\n case (#one _) 1;\n case (#two _) 2;\n case (#three _) 3;\n case (#idles((l, nL), (r, nR))) {\n debug assert Stacks.size(l) == nL and Stacks.size(r) == nR;\n nL + nR\n };\n case (#rebal(_, big, small)) BigState.size(big) + SmallState.size(small)\n };\n\n /// Test if a queue contains a given value.\n /// Returns true if the queue contains the item, otherwise false.\n ///\n /// Note: The order in which elements are visited is undefined, for performance reasons.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.contains(queue, Nat.equal, 1);\n /// assert not Queue.contains(queue, Nat.equal, 3);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func contains(self : Queue, equal : (implicit : (T, T) -> Bool), item : T) : Bool = switch self {\n case (#empty) false;\n case (#one(x)) equal(x, item);\n case (#two(x, y)) equal(x, item) or equal(y, item);\n case (#three(x, y, z)) equal(x, item) or equal(y, item) or equal(z, item);\n case (#idles(((l1, l2), _), ((r1, r2), _))) List.contains(l1, equal, item) or List.contains(l2, equal, item) or List.contains(r2, equal, item) or List.contains(r1, equal, item); // note that the order of the right stack is reversed, but for this operation it does not matter\n case (#rebal(_, big, small)) {\n let (extraB, _, (oldB1, oldB2), _) = BigState.current(big);\n let (extraS, _, (oldS1, oldS2), _) = SmallState.current(small);\n // note that the order of one of the stacks is reversed (depending on the `direction` field), but for this operation it does not matter\n List.contains(extraB, equal, item) or List.contains(oldB1, equal, item) or List.contains(oldB2, equal, item) or List.contains(extraS, equal, item) or List.contains(oldS1, equal, item) or List.contains(oldS2, equal, item)\n }\n };\n\n /// Inspect the optional element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the front element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekFront(self : Queue) : ?T = switch self {\n case (#idles((l, _), _)) Stacks.first(l);\n case (#rebal(dir, big, small)) switch dir {\n case (#left) ?SmallState.peek(small);\n case (#right) ?BigState.peek(big)\n };\n case (#empty) null;\n case (#one(x)) ?x;\n case (#two(x, _)) ?x;\n case (#three(x, _, _)) ?x\n };\n\n /// Inspect the optional element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the back element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekBack(queue) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekBack(self : Queue) : ?T = switch self {\n case (#idles(_, (r, _))) Stacks.first(r);\n case (#rebal(dir, big, small)) switch dir {\n case (#left) ?BigState.peek(big);\n case (#right) ?SmallState.peek(small)\n };\n case (#empty) null;\n case (#one(x)) ?x;\n case (#two(_, y)) ?y;\n case (#three(_, _, z)) ?z\n };\n\n /// Insert a new element on the front end of a queue.\n /// Returns the new queue with `element` in the front followed by the elements of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func pushFront(self : Queue, element : T) : Queue = switch self {\n case (#idles(l0, rnR)) {\n let lnL = Idle.push(l0, element); // enque the element to the left end\n // check if the size invariant still holds\n if (3 * rnR.1 >= lnL.1) {\n debug assert 3 * lnL.1 >= rnR.1;\n #idles(lnL, rnR)\n } else {\n // initiate the rebalancing process\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = nL - nR - 1 : Nat;\n let targetSizeR = 2 * nR + 1;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let big = #big1(Current.new(l, targetSizeL), l, null, targetSizeL);\n let small = #small1(Current.new(r, targetSizeR), r, null);\n let states = (#right, big, small);\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n #rebal(states6)\n }\n };\n // if the queue is in the middle of a rebalancing process: push the element and advance the rebalancing process by 4 steps\n // move back into the idle state if the rebalancing is done\n case (#rebal(dir, big0, small0)) switch dir {\n case (#right) {\n let big = BigState.push(big0, element);\n let states4 = States.step(States.step(States.step(States.step((#right, big, small0)))));\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n #idles(big, small)\n };\n case _ #rebal(states4)\n }\n };\n case (#left) {\n let small = SmallState.push(small0, element);\n let states4 = States.step(States.step(States.step(States.step((#left, big0, small)))));\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n #idles(small, big) // swapped because dir=left\n };\n case _ #rebal(states4)\n }\n }\n };\n case (#empty) #one(element);\n case (#one(y)) #two(element, y);\n case (#two(y, z)) #three(element, y, z);\n case (#three(a, b, c)) {\n let i1 = ((?(element, ?(a, null)), null), 2);\n let i2 = ((?(c, ?(b, null)), null), 2);\n #idles(i1, i2)\n }\n };\n\n /// Insert a new element on the back end of a queue.\n /// Returns the new queue with all the elements of `queue`, followed by `element` on the back.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func pushBack(self : Queue, element : T) : Queue = switch self {\n // Equivalent to: `reverse(pushFront(reverse(queue), element))`. Inlined for performance.\n case (#idles(rnR, l0)) {\n // ^ reversed input\n let lnL = Idle.push(l0, element);\n if (3 * rnR.1 >= lnL.1) {\n debug assert 3 * lnL.1 >= rnR.1;\n #idles(rnR, lnL) // reversed output\n } else {\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = nL - nR - 1 : Nat;\n let targetSizeR = 2 * nR + 1;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let big = #big1(Current.new(l, targetSizeL), l, null, targetSizeL);\n let small = #small1(Current.new(r, targetSizeR), r, null);\n let states = (#left, big, small); // reversed output\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n #rebal(states6)\n }\n };\n case (#rebal(dir, big0, small0)) switch dir {\n case (#left) {\n // ^ reversed input\n let big = BigState.push(big0, element);\n let states4 = States.step(States.step(States.step(States.step((#left, big, small0))))); // reversed output\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n #idles(small, big) // reversed output\n };\n case _ #rebal(states4)\n }\n };\n case (#right) {\n // ^ reversed input\n let small = SmallState.push(small0, element);\n let states4 = States.step(States.step(States.step(States.step((#right, big0, small))))); // reversed output\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n #idles(big, small) // reversed output\n };\n case _ #rebal(states4)\n }\n }\n };\n case (#empty) #one(element);\n case (#one(y)) #two(y, element);\n case (#two(y, z)) #three(y, z, element);\n case (#three(a, b, c)) {\n let i1 = ((?(a, ?(b, null)), null), 2);\n let i2 = ((?(element, ?(c, null)), null), 2);\n #idles(i1, i2)\n }\n };\n\n /// Remove the element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// the first element and a new queue that contains all the remaining elements of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// do {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// let ?(frontElement, remainingQueue) = Queue.popFront(initial) else Runtime.trap \"Empty queue impossible\";\n /// assert frontElement == 1;\n /// assert Queue.size(remainingQueue) == 1;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func popFront(self : Queue) : ?(T, Queue) = switch self {\n case (#idles(l0, rnR)) {\n let (x, lnL) = Idle.pop(l0);\n if (3 * lnL.1 >= rnR.1) {\n ?(x, #idles(lnL, rnR))\n } else if (lnL.1 >= 1) {\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = 2 * nL + 1;\n let targetSizeR = nR - nL - 1 : Nat;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let small = #small1(Current.new(l, targetSizeL), l, null);\n let big = #big1(Current.new(r, targetSizeR), r, null, targetSizeR);\n let states = (#left, big, small);\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n ?(x, #rebal(states6))\n } else {\n ?(x, Stacks.smallqueue(rnR.0))\n }\n };\n case (#rebal(dir, big0, small0)) switch dir {\n case (#left) {\n let (x, small) = SmallState.pop(small0);\n let states4 = States.step(States.step(States.step(States.step((#left, big0, small)))));\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n ?(x, #idles(small, big))\n };\n case _ ?(x, #rebal(states4))\n }\n };\n case (#right) {\n let (x, big) = BigState.pop(big0);\n let states4 = States.step(States.step(States.step(States.step((#right, big, small0)))));\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n ?(x, #idles(big, small))\n };\n case _ ?(x, #rebal(states4))\n }\n }\n };\n case (#empty) null;\n case (#one(x)) ?(x, #empty);\n case (#two(x, y)) ?(x, #one(y));\n case (#three(x, y, z)) ?(x, #two(y, z))\n };\n\n /// Remove the element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// a new queue that contains the remaining elements of `queue`\n /// and, as the second pair item, the removed back element.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// do {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// let ?(reducedQueue, removedElement) = Queue.popBack(initial) else Runtime.trap \"Empty queue impossible\";\n /// assert removedElement == 2;\n /// assert Queue.size(reducedQueue) == 1;\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` worst-case!\n ///\n /// Space: `O(1)` worst-case!\n public func popBack(self : Queue) : ?(Queue, T) = switch self {\n // Equivalent to:\n // = do ? { let (x, queue2) = popFront(reverse(queue))!; (reverse(queue2), x) };\n // Inlined for performance.\n case (#idles(rnR, l0)) {\n // ^ reversed input\n let (x, lnL) = Idle.pop(l0);\n if (3 * lnL.1 >= rnR.1) {\n ?(#idles(rnR, lnL), x) // reversed output\n } else if (lnL.1 >= 1) {\n let (l, nL) = lnL;\n let (r, nR) = rnR;\n let targetSizeL = 2 * nL + 1;\n let targetSizeR = nR - nL - 1 : Nat;\n debug assert targetSizeL + targetSizeR == nL + nR;\n let small = #small1(Current.new(l, targetSizeL), l, null);\n let big = #big1(Current.new(r, targetSizeR), r, null, targetSizeR);\n let states = (#right, big, small); // reversed output\n let states6 = States.step(States.step(States.step(States.step(States.step(States.step(states))))));\n ?(#rebal(states6), x)\n } else {\n ?(Stacks.smallqueueReversed(rnR.0), x) // reversed output\n }\n };\n case (#rebal(dir, big0, small0)) switch dir {\n case (#right) {\n // ^ reversed input\n let (x, small) = SmallState.pop(small0);\n let states4 = States.step(States.step(States.step(States.step((#right, big0, small))))); // reversed output\n debug assert states4.0 == #right;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(big, small);\n ?(#idles(big, small), x) // reversed output\n };\n case _ ?(#rebal(states4), x)\n }\n };\n case (#left) {\n // ^ reversed input\n let (x, big) = BigState.pop(big0);\n let states4 = States.step(States.step(States.step(States.step((#left, big, small0))))); // reversed output\n debug assert states4.0 == #left;\n switch states4 {\n case (_, #big2(#idle(_, big)), #small3(#idle(_, small))) {\n debug assert idlesInvariant(small, big);\n ?(#idles(small, big), x) // reversed output\n };\n case _ ?(#rebal(states4), x)\n }\n }\n };\n case (#empty) null;\n case (#one(x)) ?(#empty, x);\n case (#two(x, y)) ?(#one(x), y);\n case (#three(x, y, z)) ?(#two(x, y), z)\n };\n\n /// Turn an iterator into a queue, consuming it.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2, 3, 4].values());\n /// assert Queue.peekFront(queue) == ?0;\n /// assert Queue.peekBack(queue) == ?4;\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func fromIter(iter : Iter) : Queue {\n var queue = empty();\n Iter.forEach(iter, func(t : T) = queue := pushBack(queue, t));\n queue\n };\n\n /// Convert an iterator into a queue, consuming the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// transient let iter = [0, 1, 2, 3, 4].values();\n ///\n /// let queue = iter.toQueue();\n ///\n /// assert Queue.peekFront(queue) == ?0;\n /// assert Queue.peekBack(queue) == ?4;\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func toQueue(self : Iter) : Queue {\n fromIter(self)\n };\n\n /// Create an iterator over the elements in the queue. The order of the elements is from front to back.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Iter.toArray(Queue.values(queue)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` to create the iterator and for each `next()` call.\n ///\n /// Space: `O(1)` to create the iterator and for each `next()` call.\n public func values(self : Queue) : Iter.Iter {\n object {\n var current = self;\n public func next() : ?T {\n switch (popFront(current)) {\n case null null;\n case (?result) {\n current := result.1;\n ?result.0\n }\n }\n }\n }\n };\n\n /// Compare two queues for equality using a provided equality function to compare their elements.\n /// Two queues are considered equal if they contain the same elements in the same order.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2, 3].values());\n /// let queue2 = Queue.fromIter([1, 2, 3].values());\n /// let queue3 = Queue.fromIter([1, 3, 2].values());\n /// assert Queue.equal(queue1, queue2, Nat.equal);\n /// assert not Queue.equal(queue1, queue3, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func equal(self : Queue, other : Queue, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n func go(self : Queue, other : Queue, equal : (T, T) -> Bool) : Bool = switch (popFront self, popFront other) {\n case (null, null) true;\n case (?(x1, tail1), ?(x2, tail2)) equal(x1, x2) and go(tail1, tail2, equal); // Note that this is tail recursive (`and` is expanded to `if`).\n case _ false\n };\n go(self, other, equal)\n };\n\n /// Compare two queues lexicographically using a provided comparison function to compare their elements.\n /// Returns `#less` if `queue1` is lexicographically less than `queue2`, `#equal` if they are equal, and `#greater` otherwise.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2, 3].values());\n /// let queue2 = Queue.fromIter([1, 2, 4].values());\n /// assert Queue.compare(queue1, queue2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func compare(self : Queue, other : Queue, compareItem : (implicit : (compare : (T, T) -> Types.Order))) : Types.Order = switch (popFront self, popFront other) {\n case (null, null) #equal;\n case (null, _) #less;\n case (_, null) #greater;\n case (?(x1, selfTail), ?(x2, otherTail)) {\n switch (compareItem(x1, x2)) {\n case (#equal) compare(selfTail, otherTail, compareItem);\n case order order\n }\n }\n };\n\n /// Return true if the given predicate is true for all queue elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([2, 4, 6].values());\n /// assert Queue.all(queue, func n = n % 2 == 0);\n /// assert not Queue.all(queue, func n = n > 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func all(self : Queue, predicate : T -> Bool) : Bool = switch self {\n case (#empty) true;\n case (#one(x)) predicate x;\n case (#two(x, y)) predicate x and predicate y;\n case (#three(x, y, z)) predicate x and predicate y and predicate z;\n case _ {\n for (item in values self) if (not (predicate item)) return false;\n return true\n }\n };\n\n /// Return true if the given predicate is true for any queue element.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.any(queue, func n = n > 2);\n /// assert not Queue.any(queue, func n = n > 3);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func any(self : Queue, predicate : T -> Bool) : Bool = switch self {\n case (#empty) false;\n case (#one(x)) predicate x;\n case (#two(x, y)) predicate x or predicate y;\n case (#three(x, y, z)) predicate x or predicate y or predicate z;\n case _ {\n for (item in values self) if (predicate item) return true;\n return false\n }\n };\n\n /// Call the given function for its side effect on each queue element in order: from front to back.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// persistent actor {\n /// var text = \"\";\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// Queue.forEach(queue, func n = text #= Nat.toText(n));\n /// assert text == \"123\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func forEach(self : Queue, f : T -> ()) = switch self {\n case (#empty) ();\n case (#one(x)) f x;\n case (#two(x, y)) { f x; f y };\n case (#three(x, y, z)) { f x; f y; f z };\n // Preserve the order when visiting the elements. Note that the #idles case would require reversing the second stack.\n case _ {\n for (t in values self) f t\n }\n };\n\n /// Create a new queue by applying the given function to each element of the original queue.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let mapped = Queue.map(queue, func n = n * 2);\n /// assert Queue.size(mapped) == 3;\n /// assert Queue.peekFront(mapped) == ?2;\n /// assert Queue.peekBack(mapped) == ?6;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func map(self : Queue, f : T1 -> T2) : Queue = switch self {\n case (#empty) #empty;\n case (#one(x)) #one(f x);\n case (#two(x, y)) #two(f x, f y);\n case (#three(x, y, z)) #three(f x, f y, f z);\n case (#idles(l, r)) #idles(Idle.map(l, f), Idle.map(r, f));\n case (#rebal(_)) {\n // No reason to rebuild the #rebal state.\n // future work: It could be further optimized by building a balanced #idles state directly since we know the sizes.\n var q = empty();\n for (t in values self) q := pushBack(q, f t);\n q\n }\n };\n\n /// Create a new queue with only those elements of the original queue for which\n /// the given predicate returns true.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let filtered = Queue.filter(queue, func n = n % 2 == 0);\n /// assert Queue.size(filtered) == 2;\n /// assert Queue.peekFront(filtered) == ?2;\n /// assert Queue.peekBack(filtered) == ?4;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func filter(self : Queue, predicate : T -> Bool) : Queue {\n var q = empty();\n for (t in values self) if (predicate t) q := pushBack(q, t);\n q\n };\n\n /// Create a new queue by applying the given function to each element of the original queue\n /// and collecting the results for which the function returns a non-null value.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let filtered = Queue.filterMap(queue, func n = if (n % 2 == 0) { ?n } else null);\n /// assert Queue.size(filtered) == 2;\n /// assert Queue.peekFront(filtered) == ?2;\n /// assert Queue.peekBack(filtered) == ?4;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that f runs in `O(1)` time and space.\n public func filterMap(self : Queue, f : T -> ?U) : Queue {\n var q = empty();\n for (t in values self) {\n switch (f t) {\n case (?x) q := pushBack(q, x);\n case null ()\n }\n };\n q\n };\n\n /// Create a `Text` representation of a queue for debugging purposes.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.toText(queue, Nat.toText) == \"RealTimeQueue[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that f runs in `O(1)` time and space.\n public func toText(self : Queue, f : (implicit : (toText : T -> Text))) : Text {\n var text = \"RealTimeQueue[\";\n var first = true;\n for (t in values self) {\n if (first) first := false else text #= \", \";\n text #= f(t)\n };\n text # \"]\"\n };\n\n /// Reverse the order of elements in a queue.\n /// This operation is cheap, it does NOT require copying the elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let reversed = Queue.reverse(queue);\n /// assert Queue.peekFront(reversed) == ?3;\n /// assert Queue.peekBack(reversed) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func reverse(self : Queue) : Queue = switch self {\n case (#idles(l, r)) #idles(r, l);\n case (#rebal(#left, big, small)) #rebal(#right, big, small);\n case (#rebal(#right, big, small)) #rebal(#left, big, small);\n case (#empty) self;\n case (#one(_)) self;\n case (#two(x, y)) #two(y, x);\n case (#three(x, y, z)) #three(z, y, x)\n };\n\n type Stacks = (left : List, right : List);\n\n module Stacks {\n public func push((left, right) : Stacks, t : T) : Stacks = (?(t, left), right);\n\n public func pop(stacks : Stacks) : Stacks = switch stacks {\n case (?(_, leftTail), right) (leftTail, right);\n case (null, ?(_, rightTail)) (null, rightTail);\n case (null, null) stacks\n };\n\n public func first((left, right) : Stacks) : ?T = switch (left) {\n case (?(h, _)) ?h;\n case (null) do ? { right!.0 }\n };\n\n public func unsafeFirst((left, right) : Stacks) : T = switch (left) {\n case (?(h, _)) h;\n case (null) Option.unwrap(right).0\n };\n\n public func isEmpty((left, right) : Stacks) : Bool = List.isEmpty(left) and List.isEmpty(right);\n\n public func size((left, right) : Stacks) : Nat = List.size(left) + List.size(right);\n\n public func smallqueue((left, right) : Stacks) : Queue = switch (left, right) {\n case (null, null) #empty;\n case (null, ?(x, null)) #one(x);\n case (?(x, null), null) #one(x);\n case (null, ?(x, ?(y, null))) #two(y, x);\n case (?(x, null), ?(y, null)) #two(y, x);\n case (?(x, ?(y, null)), null) #two(y, x);\n case (null, ?(x, ?(y, ?(z, null)))) #three(z, y, x);\n case (?(x, ?(y, ?(z, null))), null) #three(z, y, x);\n case (?(x, ?(y, null)), ?(z, null)) #three(z, y, x);\n case (?(x, null), ?(y, ?(z, null))) #three(z, y, x);\n case _ (trap \"Queue.Stacks.smallqueue() impossible\")\n };\n\n public func smallqueueReversed((left, right) : Stacks) : Queue = switch (left, right) {\n case (null, null) #empty;\n case (null, ?(x, null)) #one(x);\n case (?(x, null), null) #one(x);\n case (null, ?(x, ?(y, null))) #two(x, y);\n case (?(x, null), ?(y, null)) #two(x, y);\n case (?(x, ?(y, null)), null) #two(x, y);\n case (null, ?(x, ?(y, ?(z, null)))) #three(x, y, z);\n case (?(x, ?(y, ?(z, null))), null) #three(x, y, z);\n case (?(x, ?(y, null)), ?(z, null)) #three(x, y, z);\n case (?(x, null), ?(y, ?(z, null))) #three(x, y, z);\n case _ (trap \"Queue.Stacks.smallqueueReversed() impossible\")\n };\n public func map((left, right) : Stacks, f : T -> U) : Stacks = (List.map(left, f), List.map(right, f))\n };\n\n /// Represents an end of the queue that is not in a rebalancing process. It is a stack and its size.\n type Idle = (stacks : Stacks, size : Nat);\n module Idle {\n public func push((stacks, size) : Idle, t : T) : Idle = (Stacks.push(stacks, t), 1 + size);\n public func pop((stacks, size) : Idle) : (T, Idle) = (Stacks.unsafeFirst(stacks), (Stacks.pop(stacks), size - 1 : Nat));\n public func peek((stacks, _) : Idle) : T = Stacks.unsafeFirst(stacks);\n\n public func map((stacks, size) : Idle, f : T -> U) : Idle = (Stacks.map(stacks, f), size)\n };\n\n /// Stores information about operations that happen during rebalancing but which have not become part of the old state that is being rebalanced.\n ///\n /// - `extra`: newly added elements\n /// - `extraSize`: size of `extra`\n /// - `old`: elements contained before the rebalancing process\n /// - `targetSize`: the number of elements which will be contained after the rebalancing is finished\n type Current = (extra : List, extraSize : Nat, old : Stacks, targetSize : Nat);\n\n module Current {\n public func new(old : Stacks, targetSize : Nat) : Current = (null, 0, old, targetSize);\n\n public func push((extra, extraSize, old, targetSize) : Current, t : T) : Current = (?(t, extra), 1 + extraSize, old, targetSize);\n\n public func pop((extra, extraSize, old, targetSize) : Current) : (T, Current) = switch (extra) {\n case (?(h, t)) (h, (t, extraSize - 1 : Nat, old, targetSize));\n case (null) (Stacks.unsafeFirst(old), (null, extraSize, Stacks.pop(old), targetSize - 1 : Nat))\n };\n\n public func peek((extra, _, old, _) : Current) : T = switch (extra) {\n case (?(h, _)) h;\n case (null) Stacks.unsafeFirst(old)\n };\n\n public func size((_, extraSize, _, targetSize) : Current) : Nat = extraSize + targetSize\n };\n\n /// The bigger end of the queue during rebalancing. It is used to split the bigger end of the queue into the new big end and a portion to be added to the small end. Can be in one of the following states:\n ///\n /// - `#big1(cur, big, aux, n)`: Initial state. Using the step function it takes `n`-elements from the `big` stack and puts them to `aux` in reversed order. `#big1(cur, x1 .. xn : bigTail, [], n) ->* #big1(cur, bigTail, xn .. x1, 0)`. The `bigTail` is later given to the `small` end.\n /// - `#big2(common)`: Is used to reverse the elements from the previous phase to restore the original order. `common = #copy(cur, xn .. x1, [], 0) ->* #copy(cur, [], x1 .. xn, n)`.\n type BigState = {\n #big1 : (Current, Stacks, List, Nat);\n #big2 : CommonState\n };\n\n module BigState {\n public func push(big : BigState, t : T) : BigState = switch big {\n case (#big1(cur, big, aux, n)) #big1(Current.push(cur, t), big, aux, n);\n case (#big2(state)) #big2(CommonState.push(state, t))\n };\n\n public func pop(big : BigState) : (T, BigState) = switch big {\n case (#big1(cur, big, aux, n)) {\n let (x, cur2) = Current.pop(cur);\n (x, #big1(cur2, big, aux, n))\n };\n case (#big2(state)) {\n let (x, state2) = CommonState.pop(state);\n (x, #big2(state2))\n }\n };\n\n public func peek(big : BigState) : T = switch big {\n case (#big1(cur, _, _, _)) Current.peek(cur);\n case (#big2(state)) CommonState.peek(state)\n };\n\n public func step(big : BigState) : BigState = switch big {\n case (#big1(cur, big, aux, n)) {\n if (n == 0)\n #big2(CommonState.norm(#copy(cur, aux, null, 0))) else\n #big1(cur, Stacks.pop(big), ?(Stacks.unsafeFirst(big), aux), n - 1 : Nat)\n };\n case (#big2(state)) #big2(CommonState.step(state))\n };\n\n public func size(big : BigState) : Nat = switch big {\n case (#big1(cur, _, _, _)) Current.size(cur);\n case (#big2(state)) CommonState.size(state)\n };\n\n public func current(big : BigState) : Current = switch big {\n case (#big1(cur, _, _, _)) cur;\n case (#big2(state)) CommonState.current(state)\n }\n };\n\n /// The smaller end of the queue during rebalancing. Can be in one of the following states:\n ///\n /// - `#small1(cur, small, aux)`: Initial state. Using the step function the original elements are reversed. `#small1(cur, s1 .. sn, []) ->* #small1(cur, [], sn .. s1)`, note that `aux` is initially empty, at the end contains the reversed elements from the small stack.\n /// - `#small2(cur, aux, big, new, size)`: Using the step function the newly transfered tail from the bigger end is reversed on top of the `new` list. `#small2(cur, sn .. s1, b1 .. bm, [], 0) ->* #small2(cur, sn .. s1, [], bm .. b1, m)`, note that `aux` is the reversed small stack from the previous phase, `new` is initially empty, `size` corresponds to the size of `new`.\n /// - `#small3(common)`: Is used to reverse the elements from the two previous phases again to get them again in the original order. `#copy(cur, sn .. s1, bm .. b1, m) ->* #copy(cur, [], s1 .. sn : bm .. b1, n + m)`, note that the correct order of the elements from the big stack is reversed.\n type SmallState = {\n #small1 : (Current, Stacks, List);\n #small2 : (Current, List, Stacks, List, Nat);\n #small3 : CommonState\n };\n\n module SmallState {\n public func push(state : SmallState, t : T) : SmallState = switch state {\n case (#small1(cur, small, aux)) #small1(Current.push(cur, t), small, aux);\n case (#small2(cur, aux, big, new, newN)) #small2(Current.push(cur, t), aux, big, new, newN);\n case (#small3(common)) #small3(CommonState.push(common, t))\n };\n\n public func pop(state : SmallState) : (T, SmallState) = switch state {\n case (#small1(cur0, small, aux)) {\n let (t, cur) = Current.pop(cur0);\n (t, #small1(cur, small, aux))\n };\n case (#small2(cur0, aux, big, new, newN)) {\n let (t, cur) = Current.pop(cur0);\n (t, #small2(cur, aux, big, new, newN))\n };\n case (#small3(common0)) {\n let (t, common) = CommonState.pop(common0);\n (t, #small3(common))\n }\n };\n\n public func peek(state : SmallState) : T = switch state {\n case (#small1(cur, _, _)) Current.peek(cur);\n case (#small2(cur, _, _, _, _)) Current.peek(cur);\n case (#small3(common)) CommonState.peek(common)\n };\n\n public func step(state : SmallState) : SmallState = switch state {\n case (#small1(cur, small, aux)) {\n if (Stacks.isEmpty(small)) state else #small1(cur, Stacks.pop(small), ?(Stacks.unsafeFirst(small), aux))\n };\n case (#small2(cur, aux, big, new, newN)) {\n if (Stacks.isEmpty(big)) #small3(CommonState.norm(#copy(cur, aux, new, newN))) else #small2(cur, aux, Stacks.pop(big), ?(Stacks.unsafeFirst(big), new), 1 + newN)\n };\n case (#small3(common)) #small3(CommonState.step(common))\n };\n\n public func size(state : SmallState) : Nat = switch state {\n case (#small1(cur, _, _)) Current.size(cur);\n case (#small2(cur, _, _, _, _)) Current.size(cur);\n case (#small3(common)) CommonState.size(common)\n };\n\n public func current(state : SmallState) : Current = switch state {\n case (#small1(cur, _, _)) cur;\n case (#small2(cur, _, _, _, _)) cur;\n case (#small3(common)) CommonState.current(common)\n }\n };\n\n type CopyState = { #copy : (Current, List, List, Nat) };\n\n /// Represents the last rebalancing phase of both small and big ends of the queue. It is used to reverse the elements from the previous phases to restore the original order. It can be in one of the following states:\n ///\n /// - `#copy(cur, aux, new, sizeOfNew)`: Puts the elements from `aux` in reversed order on top of `new`. `#copy(cur, xn .. x1, new, sizeOfNew) ->* #copy(cur, [], x1 .. xn : new, n + sizeOfNew)`.\n /// - `#idle(cur, idle)`: The rebalancing process is done and the queue is in the idle state.\n type CommonState = CopyState or { #idle : (Current, Idle) };\n\n module CommonState {\n public func step(common : CommonState) : CommonState = switch common {\n case (#copy copy) {\n let (cur, aux, new, sizeOfNew) = copy;\n let (_, _, _, targetSize) = cur;\n norm(if (sizeOfNew < targetSize) #copy(cur, unsafeTail(aux), ?(unsafeHead(aux), new), 1 + sizeOfNew) else #copy copy)\n };\n case (#idle _) common\n };\n\n public func norm(copy : CopyState) : CommonState {\n let #copy(cur, _, new, sizeOfNew) = copy;\n let (extra, extraSize, _, targetSize) = cur;\n debug assert sizeOfNew <= targetSize;\n if (sizeOfNew >= targetSize) {\n #idle(cur, ((extra, new), extraSize + sizeOfNew)) // note: aux can be non-empty, thus ignored here, when the target size decreases after pop operations\n } else copy\n };\n\n public func push(common : CommonState, t : T) : CommonState = switch common {\n case (#copy(cur, aux, new, sizeOfNew)) #copy(Current.push(cur, t), aux, new, sizeOfNew);\n case (#idle(cur, idle)) #idle(Current.push(cur, t), Idle.push(idle, t)) // yes, push to both\n };\n\n public func pop(common : CommonState) : (T, CommonState) = switch common {\n case (#copy(cur, aux, new, sizeOfNew)) {\n let (t, cur2) = Current.pop(cur);\n (t, norm(#copy(cur2, aux, new, sizeOfNew)))\n };\n case (#idle(cur, idle)) {\n let (t, idle2) = Idle.pop(idle);\n (t, #idle(Current.pop(cur).1, idle2))\n }\n };\n\n public func peek(common : CommonState) : T = switch common {\n case (#copy(cur, _, _, _)) Current.peek(cur);\n case (#idle(_, idle)) Idle.peek(idle)\n };\n\n public func size(common : CommonState) : Nat = switch common {\n case (#copy(cur, _, _, _)) Current.size(cur);\n case (#idle(_, (_, size))) size\n };\n\n public func current(common : CommonState) : Current = switch common {\n case (#copy(cur, _, _, _)) cur;\n case (#idle(cur, _)) cur\n }\n };\n\n type States = (\n direction : Direction,\n bigState : BigState,\n smallState : SmallState\n );\n\n module States {\n public func step(states : States) : States = switch states {\n case (dir, #big1(_, bigTail, _, 0), #small1(currentS, _, auxS)) {\n (dir, BigState.step(states.1), #small2(currentS, auxS, bigTail, null, 0))\n };\n case (dir, big, small) (dir, BigState.step(big), SmallState.step(small))\n }\n };\n\n type Direction = { #left; #right };\n\n func idlesInvariant(((l, nL), (r, nR)) : (Idle, Idle)) : Bool = Stacks.size(l) == nL and Stacks.size(r) == nR and 3 * nL >= nR and 3 * nR >= nL;\n\n type List = Types.Pure.List;\n type Iter = Types.Iter;\n func unsafeHead(l : List) : T = Option.unwrap(l).0;\n func unsafeTail(l : List) : List = Option.unwrap(l).1\n}\n"},"Text.mo":{"content":"/// Utility functions for `Text` values.\n///\n/// A `Text` value represents human-readable text as a sequence of characters of type `Char`.\n///\n/// ```motoko\n/// let text = \"Hello!\";\n/// let size = text.size();\n/// assert size == 6;\n/// let iter = text.chars();\n/// assert iter.next() == ?'H';\n/// assert iter.next() == ?'e';\n/// assert iter.next() == ?'l';\n/// assert iter.next() == ?'l';\n/// assert iter.next() == ?'o';\n/// assert iter.next() == ?'!';\n/// assert iter.next() == null;\n/// let concat = text # \" 👋\";\n/// assert concat == \"Hello! 👋\";\n/// ```\n///\n/// The `\"mo:core/Text\"` module defines additional operations on `Text` values.\n///\n/// Import the module from the core package:\n///\n/// ```motoko name=import\n/// import Text \"mo:core/Text\";\n/// ```\n///\n/// Note: `Text` values are represented as ropes of UTF-8 character sequences with O(1) concatenation.\n///\n\nimport Char \"Char\";\nimport Iter \"Iter\";\nimport Stack \"Stack\";\nimport Types \"Types\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// The type corresponding to primitive `Text` values.\n ///\n /// ```motoko\n /// let hello = \"Hello!\";\n /// let emoji = \"👋\";\n /// let concat = hello # \" \" # emoji;\n /// assert concat == \"Hello! 👋\";\n /// ```\n public type Text = Prim.Types.Text;\n\n /// Converts the given `Char` to a `Text` value.\n ///\n /// ```motoko include=import\n /// let text = Text.fromChar('A');\n /// assert text == \"A\";\n /// ```\n public let fromChar : (c : Char) -> Text = Prim.charToText;\n\n /// Converts the given `[Char]` to a `Text` value.\n ///\n /// ```motoko include=import\n /// let text = Text.fromArray(['A', 'v', 'o', 'c', 'a', 'd', 'o']);\n /// assert text == \"Avocado\";\n /// ```\n ///\n /// Runtime: O(a.size())\n /// Space: O(a.size())\n public func fromArray(a : [Char]) : Text = fromIter(a.vals());\n\n /// Converts the given `[var Char]` to a `Text` value.\n ///\n /// ```motoko include=import\n /// let text = Text.fromVarArray([var 'E', 'g', 'g', 'p', 'l', 'a', 'n', 't']);\n /// assert text == \"Eggplant\";\n /// ```\n ///\n /// Runtime: O(a.size())\n /// Space: O(a.size())\n public func fromVarArray(a : [var Char]) : Text = fromIter(a.vals());\n\n /// Iterates over each `Char` value in the given `Text`.\n ///\n /// Equivalent to calling the `t.chars()` method where `t` is a `Text` value.\n ///\n /// ```motoko include=import\n /// let chars = Text.toIter(\"abc\");\n /// assert chars.next() == ?'a';\n /// assert chars.next() == ?'b';\n /// assert chars.next() == ?'c';\n /// assert chars.next() == null;\n /// ```\n public func toIter(self : Text) : Iter.Iter = self.chars();\n\n /// Collapses the characters in `text` into a single value by starting with `base`\n /// and progessively combining characters into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// ```motoko include=import\n ///\n /// let text = \"Mississippi\";\n /// let count =\n /// Text.foldLeft(\n /// text,\n /// 0, // start the sum at 0\n /// func(ss, c) = if (c == 's') ss + 1 else ss\n /// );\n /// assert count == 4;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : Text, base : A, combine : (A, Char) -> A) : A {\n var acc = base;\n for (c in self.chars()) acc := combine(acc, c);\n acc\n };\n\n /// Creates a new `Array` containing characters of the given `Text`.\n ///\n /// Equivalent to `Iter.toArray(t.chars())`.\n ///\n /// ```motoko include=import\n /// assert Text.toArray(\"Café\") == ['C', 'a', 'f', 'é'];\n /// ```\n ///\n /// Runtime: O(t.size())\n /// Space: O(t.size())\n public func toArray(self : Text) : [Char] {\n let cs = self.chars();\n // We rely on Array_tabulate's implementation details: it fills\n // the array from left to right sequentially.\n Prim.Array_tabulate(\n self.size(),\n func _ {\n switch (cs.next()) {\n case (?c) { c };\n case null { Prim.trap(\"Text.toArray()\") }\n }\n }\n )\n };\n\n /// Creates a new mutable `Array` containing characters of the given `Text`.\n ///\n /// Equivalent to `Iter.toArrayMut(t.chars())`.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Char \"mo:core/Char\";\n ///\n /// assert VarArray.equal(Text.toVarArray(\"Café\"), [var 'C', 'a', 'f', 'é'], Char.equal);\n /// ```\n ///\n /// Runtime: O(t.size())\n /// Space: O(t.size())\n public func toVarArray(self : Text) : [var Char] {\n let n = self.size();\n if (n == 0) {\n return [var]\n };\n let array = Prim.Array_init(n, ' ');\n var i = 0;\n for (c in self.chars()) {\n array[i] := c;\n i += 1\n };\n array\n };\n\n /// Creates a `Text` value from a `Char` iterator.\n ///\n /// ```motoko include=import\n /// let text = Text.fromIter(['a', 'b', 'c'].values());\n /// assert text == \"abc\";\n /// ```\n public func fromIter(cs : Iter.Iter) : Text {\n var r = \"\";\n for (c in cs) {\n r #= Prim.charToText(c)\n };\n return r\n };\n\n /// Returns whether the given `Text` is empty (has a size of zero).\n ///\n /// ```motoko include=import\n /// let text1 = \"\";\n /// let text2 = \"example\";\n /// assert Text.isEmpty(text1);\n /// assert not Text.isEmpty(text2);\n /// ```\n public func isEmpty(self : Text) : Bool = self == \"\";\n\n /// Returns the number of characters in the given `Text`.\n ///\n /// Equivalent to calling `t.size()` where `t` is a `Text` value.\n ///\n /// ```motoko include=import\n /// let size = Text.size(\"abc\");\n /// assert size == 3;\n /// ```\n public func size(self : Text) : Nat = self.size();\n\n /// Returns `t1 # t2`, where `#` is the `Text` concatenation operator.\n ///\n /// ```motoko include=import\n /// let a = \"Hello\";\n /// let b = \"There\";\n /// let together = a # b;\n /// assert together == \"HelloThere\";\n /// let withSpace = a # \" \" # b;\n /// assert withSpace == \"Hello There\";\n /// let togetherAgain = Text.concat(a, b);\n /// assert togetherAgain == \"HelloThere\";\n /// ```\n public func concat(self : Text, other : Text) : Text = self # other;\n\n /// Returns a new `Text` with the characters of the input `Text` in reverse order.\n ///\n /// ```motoko include=import\n /// let text = Text.reverse(\"Hello\");\n /// assert text == \"olleH\";\n /// ```\n ///\n /// Runtime: O(t.size())\n /// Space: O(t.size())\n public func reverse(self : Text) : Text {\n fromIter(Iter.reverse(self.chars()))\n };\n\n /// Returns true if two text values are equal.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.equal(\"hello\", \"hello\");\n /// assert not Text.equal(\"hello\", \"world\");\n /// ```\n public func equal(self : Text, other : Text) : Bool { self == other };\n\n /// Returns true if two text values are not equal.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.notEqual(\"hello\", \"world\");\n /// assert not Text.notEqual(\"hello\", \"hello\");\n /// ```\n public func notEqual(self : Text, other : Text) : Bool { self != other };\n\n /// Returns true if the first text value is lexicographically less than the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.less(\"apple\", \"banana\");\n /// assert not Text.less(\"banana\", \"apple\");\n /// ```\n public func less(self : Text, other : Text) : Bool { self < other };\n\n /// Returns true if the first text value is lexicographically less than or equal to the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.lessOrEqual(\"apple\", \"banana\");\n /// assert Text.lessOrEqual(\"apple\", \"apple\");\n /// assert not Text.lessOrEqual(\"banana\", \"apple\");\n /// ```\n public func lessOrEqual(self : Text, other : Text) : Bool { self <= other };\n\n /// Returns true if the first text value is lexicographically greater than the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.greater(\"banana\", \"apple\");\n /// assert not Text.greater(\"apple\", \"banana\");\n /// ```\n public func greater(self : Text, other : Text) : Bool { self > other };\n\n /// Returns true if the first text value is lexicographically greater than or equal to the second.\n ///\n /// ```motoko\n /// import Text \"mo:core/Text\";\n ///\n /// assert Text.greaterOrEqual(\"banana\", \"apple\");\n /// assert Text.greaterOrEqual(\"apple\", \"apple\");\n /// assert not Text.greaterOrEqual(\"apple\", \"banana\");\n /// ```\n public func greaterOrEqual(self : Text, other : Text) : Bool { self >= other };\n\n /// Compares `t1` and `t2` lexicographically.\n ///\n /// ```motoko include=import\n /// assert Text.compare(\"abc\", \"abc\") == #equal;\n /// assert Text.compare(\"abc\", \"def\") == #less;\n /// assert Text.compare(\"abc\", \"ABC\") == #greater;\n /// ```\n public func compare(self : Text, other : Text) : Order.Order {\n let c = Prim.textCompare(self, other);\n if (c < 0) #less else if (c == 0) #equal else #greater\n };\n\n private func extract(self : Text, i : Nat, j : Nat) : Text {\n let size = self.size();\n if (i == 0 and j == size) return self;\n assert (j <= size);\n let cs = self.chars();\n var r = \"\";\n var n = i;\n while (n > 0) {\n ignore cs.next();\n n -= 1\n };\n n := j;\n while (n > 0) {\n switch (cs.next()) {\n case null { assert false };\n case (?c) { r #= Prim.charToText(c) }\n };\n n -= 1\n };\n return r\n };\n\n /// Join an iterator of `Text` values with a given delimiter.\n ///\n /// ```motoko include=import\n /// let joined = Text.join([\"a\", \"b\", \"c\"].values(), \", \");\n /// assert joined == \"a, b, c\";\n /// ```\n public func join(self : Iter.Iter, sep : Text) : Text {\n var r = \"\";\n if (sep.size() == 0) {\n for (t in self) {\n r #= t\n };\n return r\n };\n let next = self.next;\n switch (next()) {\n case null { return r };\n case (?t) {\n r #= t\n }\n };\n loop {\n switch (next()) {\n case null { return r };\n case (?t) {\n r #= sep;\n r #= t\n }\n }\n }\n };\n\n /// Applies a function to each character in a `Text` value, returning the concatenated `Char` results.\n ///\n /// ```motoko include=import\n /// // Replace all occurrences of '?' with '!'\n /// let result = Text.map(\"Motoko?\", func(c) {\n /// if (c == '?') '!'\n /// else c\n /// });\n /// assert result == \"Motoko!\";\n /// ```\n public func map(self : Text, f : Char -> Char) : Text {\n var r = \"\";\n for (c in self.chars()) {\n r #= Prim.charToText(f(c))\n };\n r\n };\n\n /// Returns the result of applying `f` to each character in `ts`, concatenating the intermediate text values.\n ///\n /// ```motoko include=import\n /// // Replace all occurrences of '?' with \"!!\"\n /// let result = Text.flatMap(\"Motoko?\", func(c) {\n /// if (c == '?') \"!!\"\n /// else Text.fromChar(c)\n /// });\n /// assert result == \"Motoko!!\";\n /// ```\n public func flatMap(self : Text, f : Char -> Text) : Text {\n var r = \"\";\n for (c in self.chars()) {\n r #= f(c)\n };\n r\n };\n\n /// A pattern `p` describes a sequence of characters. A pattern has one of the following forms:\n ///\n /// * `#char c` matches the single character sequence, `c`.\n /// * `#text t` matches multi-character text sequence `t`.\n /// * `#predicate p` matches any single character sequence `c` satisfying predicate `p(c)`.\n ///\n /// A _match_ for `p` is any sequence of characters matching the pattern `p`.\n ///\n /// ```motoko include=import\n /// let charPattern = #char 'A';\n /// let textPattern = #text \"phrase\";\n /// let predicatePattern : Text.Pattern = #predicate (func(c) { c == 'A' or c == 'B' });\n /// assert Text.contains(\"A\", predicatePattern);\n /// assert Text.contains(\"B\", predicatePattern);\n /// ```\n public type Pattern = Types.Pattern;\n\n private func take(n : Nat, cs : Iter.Iter) : Iter.Iter {\n var i = n;\n object {\n public func next() : ?Char {\n if (i == 0) return null;\n i -= 1;\n return cs.next()\n }\n }\n };\n\n private func empty() : Iter.Iter {\n object {\n public func next() : ?Char = null\n }\n };\n\n private type Match = {\n /// #success on complete match\n #success;\n /// #fail(cs,c) on partial match of cs, but failing match on c\n #fail : (cs : Iter.Iter, c : Char);\n /// #empty(cs) on partial match of cs and empty stream\n #empty : (cs : Iter.Iter)\n };\n\n private func sizeOfPattern(pat : Pattern) : Nat {\n switch pat {\n case (#text(t)) { t.size() };\n case (#predicate(_) or #char(_)) { 1 }\n }\n };\n\n private func matchOfPattern(pat : Pattern) : (cs : Iter.Iter) -> Match {\n switch pat {\n case (#char(p)) {\n func(cs : Iter.Iter) : Match {\n switch (cs.next()) {\n case (?c) {\n if (p == c) {\n #success\n } else {\n #fail(empty(), c)\n }\n };\n case null { #empty(empty()) }\n }\n }\n };\n case (#predicate(p)) {\n func(cs : Iter.Iter) : Match {\n switch (cs.next()) {\n case (?c) {\n if (p(c)) {\n #success\n } else {\n #fail(empty(), c)\n }\n };\n case null { #empty(empty()) }\n }\n }\n };\n case (#text(p)) {\n func(cs : Iter.Iter) : Match {\n var i = 0;\n let ds = p.chars();\n loop {\n switch (ds.next()) {\n case (?d) {\n switch (cs.next()) {\n case (?c) {\n if (c != d) {\n return #fail(take(i, p.chars()), c)\n };\n i += 1\n };\n case null {\n return #empty(take(i, p.chars()))\n }\n }\n };\n case null { return #success }\n }\n }\n }\n }\n }\n };\n\n private class CharBuffer(cs : Iter.Iter) : Iter.Iter = {\n\n var stack : Stack.Stack<(Iter.Iter, Char)> = Stack.empty();\n\n public func pushBack(cs0 : Iter.Iter, c : Char) {\n Stack.push(stack, (cs0, c))\n };\n\n public func next() : ?Char {\n switch (Stack.peek(stack)) {\n case (?(buff, c)) {\n switch (buff.next()) {\n case null {\n ignore Stack.pop(stack);\n return ?c\n };\n case oc {\n return oc\n }\n }\n };\n case null {\n return cs.next()\n }\n }\n }\n };\n\n /// Splits the input `Text` with the specified `Pattern`.\n ///\n /// Two fields are separated by exactly one match.\n ///\n /// ```motoko include=import\n /// let words = Text.split(\"This is a sentence.\", #char ' ');\n /// assert Text.join(words, \"|\") == \"This|is|a|sentence.\";\n /// ```\n public func split(self : Text, p : Pattern) : Iter.Iter {\n let match = matchOfPattern(p);\n let cs = CharBuffer(self.chars());\n var state = 0;\n var field = \"\";\n object {\n public func next() : ?Text {\n switch state {\n case (0 or 1) {\n loop {\n switch (match(cs)) {\n case (#success) {\n let r = field;\n field := \"\";\n state := 1;\n return ?r\n };\n case (#empty(cs1)) {\n for (c in cs1) {\n field #= fromChar(c)\n };\n let r = if (state == 0 and field == \"\") {\n null\n } else {\n ?field\n };\n state := 2;\n return r\n };\n case (#fail(cs1, c)) {\n cs.pushBack(cs1, c);\n switch (cs.next()) {\n case (?ci) {\n field #= fromChar(ci)\n };\n case null {\n let r = if (state == 0 and field == \"\") {\n null\n } else {\n ?field\n };\n state := 2;\n return r\n }\n }\n }\n }\n }\n };\n case _ { return null }\n }\n }\n }\n };\n\n /// Returns a sequence of tokens from the input `Text` delimited by the specified `Pattern`, derived from start to end.\n /// A \"token\" is a non-empty maximal subsequence of `t` not containing a match for pattern `p`.\n /// Two tokens may be separated by one or more matches of `p`.\n ///\n /// ```motoko include=import\n /// let tokens = Text.tokens(\"this needs\\n an example\", #predicate (func(c) { c == ' ' or c == '\\n' }));\n /// assert Text.join(tokens, \"|\") == \"this|needs|an|example\";\n /// ```\n public func tokens(self : Text, p : Pattern) : Iter.Iter {\n let fs = split(self, p);\n object {\n public func next() : ?Text {\n switch (fs.next()) {\n case (?\"\") { next() };\n case ot { ot }\n }\n }\n }\n };\n\n /// Returns `true` if the input `Text` contains a match for the specified `Pattern`.\n ///\n /// ```motoko include=import\n /// assert Text.contains(\"Motoko\", #text \"oto\");\n /// assert not Text.contains(\"Motoko\", #text \"xyz\");\n /// ```\n public func contains(self : Text, p : Pattern) : Bool {\n let match = matchOfPattern(p);\n let cs = CharBuffer(self.chars());\n loop {\n switch (match(cs)) {\n case (#success) {\n return true\n };\n case (#empty(_cs1)) {\n return false\n };\n case (#fail(cs1, c)) {\n cs.pushBack(cs1, c);\n switch (cs.next()) {\n case null {\n return false\n };\n case _ {}; // continue\n }\n }\n }\n }\n };\n\n /// Returns `true` if the input `Text` starts with a prefix matching the specified `Pattern`.\n ///\n /// ```motoko include=import\n /// assert Text.startsWith(\"Motoko\", #text \"Mo\");\n /// ```\n public func startsWith(self : Text, p : Pattern) : Bool {\n var cs = self.chars();\n let match = matchOfPattern(p);\n switch (match(cs)) {\n case (#success) { true };\n case _ { false }\n }\n };\n\n /// Returns `true` if the input `Text` ends with a suffix matching the specified `Pattern`.\n ///\n /// ```motoko include=import\n /// assert Text.endsWith(\"Motoko\", #char 'o');\n /// ```\n public func endsWith(self : Text, p : Pattern) : Bool {\n let s2 = sizeOfPattern(p);\n if (s2 == 0) return true;\n let s1 = self.size();\n if (s2 > s1) return false;\n let match = matchOfPattern(p);\n var cs1 = self.chars();\n var diff : Nat = s1 - s2;\n while (diff > 0) {\n ignore cs1.next();\n diff -= 1\n };\n switch (match(cs1)) {\n case (#success) { true };\n case _ { false }\n }\n };\n\n /// Returns the input text `t` with all matches of pattern `p` replaced by text `r`.\n ///\n /// ```motoko include=import\n /// let result = Text.replace(\"abcabc\", #char 'a', \"A\");\n /// assert result == \"AbcAbc\";\n /// ```\n public func replace(self : Text, p : Pattern, r : Text) : Text {\n let match = matchOfPattern(p);\n let size = sizeOfPattern(p);\n let cs = CharBuffer(self.chars());\n var res = \"\";\n label l loop {\n switch (match(cs)) {\n case (#success) {\n res #= r;\n if (size > 0) {\n continue l\n }\n };\n case (#empty(cs1)) {\n for (c1 in cs1) {\n res #= fromChar(c1)\n };\n break l\n };\n case (#fail(cs1, c)) {\n cs.pushBack(cs1, c)\n }\n };\n switch (cs.next()) {\n case null {\n break l\n };\n case (?c1) {\n res #= fromChar(c1)\n }; // continue\n }\n };\n return res\n };\n\n /// Strips one occurrence of the given `Pattern` from the beginning of the input `Text`.\n /// If you want to remove multiple instances of the pattern, use `Text.trimStart()` instead.\n ///\n /// ```motoko include=import\n /// // Try to strip a nonexistent character\n /// let none = Text.stripStart(\"abc\", #char '-');\n /// assert none == null;\n /// // Strip just one '-'\n /// let one = Text.stripStart(\"--abc\", #char '-');\n /// assert one == ?\"-abc\";\n /// ```\n public func stripStart(self : Text, p : Pattern) : ?Text {\n let s = sizeOfPattern(p);\n if (s == 0) return ?self;\n var cs = self.chars();\n let match = matchOfPattern(p);\n switch (match(cs)) {\n case (#success) return ?fromIter(cs);\n case _ return null\n }\n };\n\n /// Strips one occurrence of the given `Pattern` from the end of the input `Text`.\n /// If you want to remove multiple instances of the pattern, use `Text.trimEnd()` instead.\n ///\n /// ```motoko include=import\n /// // Try to strip a nonexistent character\n /// let none = Text.stripEnd(\"xyz\", #char '-');\n /// assert none == null;\n /// // Strip just one '-'\n /// let one = Text.stripEnd(\"xyz--\", #char '-');\n /// assert one == ?\"xyz-\";\n /// ```\n public func stripEnd(self : Text, p : Pattern) : ?Text {\n let s2 = sizeOfPattern(p);\n if (s2 == 0) return ?self;\n let s1 = self.size();\n if (s2 > s1) return null;\n let match = matchOfPattern(p);\n var cs1 = self.chars();\n var diff : Nat = s1 - s2;\n while (diff > 0) {\n ignore cs1.next();\n diff -= 1\n };\n switch (match(cs1)) {\n case (#success) return ?extract(self, 0, s1 - s2);\n case _ return null\n }\n };\n\n /// Trims the given `Pattern` from the start of the input `Text`.\n /// If you only want to remove a single instance of the pattern, use `Text.stripStart()` instead.\n ///\n /// ```motoko include=import\n /// let trimmed = Text.trimStart(\"---abc\", #char '-');\n /// assert trimmed == \"abc\";\n /// ```\n public func trimStart(self : Text, p : Pattern) : Text {\n let cs = self.chars();\n let size = sizeOfPattern(p);\n if (size == 0) return self;\n var matchSize = 0;\n let match = matchOfPattern(p);\n loop {\n switch (match(cs)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(cs1)) {\n return if (matchSize == 0) {\n self\n } else {\n fromIter(cs1)\n }\n };\n case (#fail(cs1, c)) {\n return if (matchSize == 0) {\n self\n } else {\n fromIter(cs1) # fromChar(c) # fromIter(cs)\n }\n }\n }\n }\n };\n\n /// Trims the given `Pattern` from the end of the input `Text`.\n /// If you only want to remove a single instance of the pattern, use `Text.stripEnd()` instead.\n ///\n /// ```motoko include=import\n /// let trimmed = Text.trimEnd(\"xyz---\", #char '-');\n /// assert trimmed == \"xyz\";\n /// ```\n public func trimEnd(self : Text, p : Pattern) : Text {\n let cs = CharBuffer(self.chars());\n let size = sizeOfPattern(p);\n if (size == 0) return self;\n let match = matchOfPattern(p);\n var matchSize = 0;\n label l loop {\n switch (match(cs)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(cs1)) {\n switch (cs1.next()) {\n case null break l;\n case (?_) return self\n }\n };\n case (#fail(cs1, c)) {\n matchSize := 0;\n cs.pushBack(cs1, c);\n ignore cs.next()\n }\n }\n };\n extract(self, 0, self.size() - matchSize)\n };\n\n /// Trims the given `Pattern` from both the start and end of the input `Text`.\n ///\n /// ```motoko include=import\n /// let trimmed = Text.trim(\"---abcxyz---\", #char '-');\n /// assert trimmed == \"abcxyz\";\n /// ```\n public func trim(self : Text, p : Pattern) : Text {\n let cs = self.chars();\n let size = sizeOfPattern(p);\n if (size == 0) return self;\n var matchSize = 0;\n let match = matchOfPattern(p);\n loop {\n switch (match(cs)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(cs1)) {\n return if (matchSize == 0) { self } else { fromIter(cs1) }\n };\n case (#fail(cs1, c)) {\n let start = matchSize;\n let cs2 = CharBuffer(cs);\n cs2.pushBack(cs1, c);\n ignore cs2.next();\n matchSize := 0;\n label l loop {\n switch (match(cs2)) {\n case (#success) {\n matchSize += size\n }; // continue\n case (#empty(_cs3)) {\n switch (cs1.next()) {\n case null break l;\n case (?_) return self\n }\n };\n case (#fail(cs3, c1)) {\n matchSize := 0;\n cs2.pushBack(cs3, c1);\n ignore cs2.next()\n }\n }\n };\n return extract(self, start, self.size() - matchSize - start)\n }\n }\n }\n };\n\n /// Compares `t1` and `t2` using the provided character-wise comparison function.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// assert Text.compareWith(\"abc\", \"ABC\", func(c1, c2) { Char.compare(c1, c2) }) == #greater;\n /// ```\n public func compareWith(\n self : Text,\n other : Text,\n compare : (Char, Char) -> Order.Order\n ) : Order.Order {\n let cs1 = self.chars();\n let cs2 = other.chars();\n loop {\n switch (cs1.next(), cs2.next()) {\n case (null, null) { return #equal };\n case (null, ?_) { return #less };\n case (?_, null) { return #greater };\n case (?c1, ?c2) {\n switch (compare(c1, c2)) {\n case (#equal) {}; // continue\n case other { return other }\n }\n }\n }\n }\n };\n\n /// Returns a UTF-8 encoded `Blob` from the given `Text`.\n ///\n /// ```motoko include=import\n /// let blob = Text.encodeUtf8(\"Hello\");\n /// assert blob == \"\\48\\65\\6C\\6C\\6F\";\n /// ```\n public let encodeUtf8 : (self : Text) -> Blob = Prim.encodeUtf8;\n\n /// Tries to decode the given `Blob` as UTF-8.\n /// Returns `null` if the blob is not valid UTF-8.\n ///\n /// ```motoko include=import\n /// let text = Text.decodeUtf8(\"\\48\\65\\6C\\6C\\6F\");\n /// assert text == ?\"Hello\";\n /// ```\n public let decodeUtf8 : (self : Blob) -> ?Text = Prim.decodeUtf8;\n\n /// Returns the text argument in lowercase.\n /// WARNING: Unicode compliant only when compiled, not interpreted.\n ///\n /// ```motoko include=import\n /// let text = Text.toLower(\"Good Day\");\n /// assert text == \"good day\";\n /// ```\n public let toLower : (self : Text) -> Text = Prim.textLowercase;\n\n /// Returns the text argument in uppercase. Unicode compliant.\n /// WARNING: Unicode compliant only when compiled, not interpreted.\n ///\n /// ```motoko include=import\n /// let text = Text.toUpper(\"Good Day\");\n /// assert text == \"GOOD DAY\";\n /// ```\n public let toUpper : (self : Text) -> Text = Prim.textUppercase;\n\n /// Returns the given text value unchanged.\n /// This function is provided for consistency with other modules.\n ///\n /// ```motoko include=import\n /// assert Text.toText(\"Hello\") == \"Hello\";\n /// ```\n public func toText(self : Text) : Text = self\n\n}\n"},"Float.mo":{"content":"/// Double precision (64-bit) floating-point numbers in IEEE 754 representation.\n///\n/// This module contains common floating-point constants and utility functions.\n///\n/// ```motoko name=import\n/// import Float \"mo:core/Float\";\n/// ```\n///\n/// Notation for special values in the documentation below:\n/// `+inf`: Positive infinity\n/// `-inf`: Negative infinity\n/// `NaN`: \"not a number\" (can have different sign bit values, but `NaN != NaN` regardless of the sign).\n///\n/// Note:\n/// Floating point numbers have limited precision and operations may inherently result in numerical errors.\n///\n/// Examples of numerical errors:\n/// ```motoko\n/// assert 0.1 + 0.1 + 0.1 != 0.3;\n/// ```\n///\n/// ```motoko\n/// assert not (1e16 + 1.0 != 1e16);\n/// ```\n///\n/// (and many more cases)\n///\n/// Advice:\n/// * Floating point number comparisons by `==` or `!=` are discouraged. Instead, it is better to compare\n/// floating-point numbers with a numerical tolerance, called epsilon.\n///\n/// Example:\n/// ```motoko\n/// import Float \"mo:core/Float\";\n/// let x = 0.1 + 0.1 + 0.1;\n/// let y = 0.3;\n///\n/// let epsilon = 1e-6; // This depends on the application case (needs a numerical error analysis).\n/// assert Float.equal(x, y, epsilon);\n/// ```\n///\n/// * For absolute precision, it is recommened to encode the fraction number as a pair of a Nat for the base\n/// and a Nat for the exponent (decimal point).\n///\n/// NaN sign:\n/// * The NaN sign is only applied by `abs`, `neg`, and `copySign`. Other operations can have an arbitrary\n/// sign bit for NaN results.\n\nimport Prim \"mo:⛔\";\nimport Int \"Int\";\nimport Order \"Order\";\n\nmodule {\n\n /// 64-bit floating point number type.\n public type Float = Prim.Types.Float;\n\n /// Ratio of the circumference of a circle to its diameter.\n /// Note: Limited precision.\n public let pi : Float = 3.14159265358979323846; // taken from musl math.h\n\n /// Base of the natural logarithm.\n /// Note: Limited precision.\n public let e : Float = 2.7182818284590452354; // taken from musl math.h\n\n /// Determines whether the `number` is a `NaN` (\"not a number\" in the floating point representation).\n /// Notes:\n /// * Equality test of `NaN` with itself or another number is always `false`.\n /// * There exist many internal `NaN` value representations, such as positive and negative NaN,\n /// signalling and quiet NaNs, each with many different bit representations.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.isNaN(0.0/0.0);\n /// ```\n public func isNaN(self : Float) : Bool {\n self != self\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Special cases:\n /// ```\n /// abs(+inf) => +inf\n /// abs(-inf) => +inf\n /// abs(-NaN) => +NaN\n /// abs(-0.0) => 0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.abs(-1.2), 1.2, epsilon);\n /// ```\n public let abs : (x : Float) -> Float = Prim.floatAbs;\n\n /// Returns the square root of `x`.\n ///\n /// Special cases:\n /// ```\n /// sqrt(+inf) => +inf\n /// sqrt(-0.0) => -0.0\n /// sqrt(x) => NaN if x < 0.0\n /// sqrt(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.sqrt(6.25), 2.5, epsilon);\n /// ```\n public let sqrt : (x : Float) -> Float = Prim.floatSqrt;\n\n /// Returns the smallest integral float greater than or equal to `x`.\n ///\n /// Special cases:\n /// ```\n /// ceil(+inf) => +inf\n /// ceil(-inf) => -inf\n /// ceil(NaN) => NaN\n /// ceil(0.0) => 0.0\n /// ceil(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.ceil(1.2), 2.0, epsilon);\n /// ```\n public let ceil : (x : Float) -> Float = Prim.floatCeil;\n\n /// Returns the largest integral float less than or equal to `x`.\n ///\n /// Special cases:\n /// ```\n /// floor(+inf) => +inf\n /// floor(-inf) => -inf\n /// floor(NaN) => NaN\n /// floor(0.0) => 0.0\n /// floor(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.floor(1.2), 1.0, epsilon);\n /// ```\n public let floor : (x : Float) -> Float = Prim.floatFloor;\n\n /// Returns the nearest integral float not greater in magnitude than `x`.\n /// This is equivalent to returning `x` with truncating its decimal places.\n ///\n /// Special cases:\n /// ```\n /// trunc(+inf) => +inf\n /// trunc(-inf) => -inf\n /// trunc(NaN) => NaN\n /// trunc(0.0) => 0.0\n /// trunc(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.trunc(2.75), 2.0, epsilon);\n /// ```\n public let trunc : (x : Float) -> Float = Prim.floatTrunc;\n\n /// Returns the nearest integral float to `x`.\n /// A decimal place of exactly .5 is rounded to the nearest even integral float.\n /// and rounded down for `x < 0`\n ///\n /// Special cases:\n /// ```\n /// nearest(+inf) => +inf\n /// nearest(-inf) => -inf\n /// nearest(NaN) => NaN\n /// nearest(0.0) => 0.0\n /// nearest(-0.0) => -0.0\n /// nearest(14.5) => 14.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.nearest(2.75) == 3.0\n /// ```\n public let nearest : (x : Float) -> Float = Prim.floatNearest;\n\n /// Returns `x` if `x` and `y` have same sign, otherwise `x` with negated sign.\n ///\n /// The sign bit of zero, infinity, and `NaN` is considered.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.copySign(1.2, -2.3), -1.2, epsilon);\n /// ```\n public let copySign : (x : Float, y : Float) -> Float = Prim.floatCopySign;\n\n /// Returns the smaller value of `x` and `y`.\n ///\n /// Special cases:\n /// ```\n /// min(NaN, y) => NaN for any Float y\n /// min(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.min(1.2, -2.3) == -2.3; // with numerical imprecision\n /// ```\n public let min : (x : Float, y : Float) -> Float = Prim.floatMin;\n\n /// Returns the larger value of `x` and `y`.\n ///\n /// Special cases:\n /// ```\n /// max(NaN, y) => NaN for any Float y\n /// max(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.max(1.2, -2.3) == 1.2;\n /// ```\n public let max : (x : Float, y : Float) -> Float = Prim.floatMax;\n\n /// Returns the sine of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// sin(+inf) => NaN\n /// sin(-inf) => NaN\n /// sin(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.sin(Float.pi / 2), 1.0, epsilon);\n /// ```\n public let sin : (x : Float) -> Float = Prim.sin;\n\n /// Returns the cosine of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// cos(+inf) => NaN\n /// cos(-inf) => NaN\n /// cos(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.cos(Float.pi / 2), 0.0, epsilon);\n /// ```\n public let cos : (x : Float) -> Float = Prim.cos;\n\n /// Returns the tangent of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// tan(+inf) => NaN\n /// tan(-inf) => NaN\n /// tan(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.tan(Float.pi / 4), 1.0, epsilon);\n /// ```\n public let tan : (x : Float) -> Float = Prim.tan;\n\n /// Returns the arc sine of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arcsin(x) => NaN if x > 1.0\n /// arcsin(x) => NaN if x < -1.0\n /// arcsin(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.arcsin(1.0), Float.pi / 2, epsilon);\n /// ```\n public let arcsin : (x : Float) -> Float = Prim.arcsin;\n\n /// Returns the arc cosine of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arccos(x) => NaN if x > 1.0\n /// arccos(x) => NaN if x < -1.0\n /// arcos(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.arccos(1.0), 0.0, epsilon);\n /// ```\n public let arccos : (x : Float) -> Float = Prim.arccos;\n\n /// Returns the arc tangent of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arctan(+inf) => pi / 2\n /// arctan(-inf) => -pi / 2\n /// arctan(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.arctan(1.0), Float.pi / 4, epsilon);\n /// ```\n public let arctan : (x : Float) -> Float = Prim.arctan;\n\n /// Given `(y, x)`, returns the arc tangent in radians of `y/x` based on the signs of both values to determine the correct quadrant.\n ///\n /// Special cases:\n /// ```\n /// arctan2(0.0, 0.0) => 0.0\n /// arctan2(-0.0, 0.0) => -0.0\n /// arctan2(0.0, -0.0) => pi\n /// arctan2(-0.0, -0.0) => -pi\n /// arctan2(+inf, +inf) => pi / 4\n /// arctan2(+inf, -inf) => 3 * pi / 4\n /// arctan2(-inf, +inf) => -pi / 4\n /// arctan2(-inf, -inf) => -3 * pi / 4\n /// arctan2(NaN, x) => NaN for any Float x\n /// arctan2(y, NaN) => NaN for any Float y\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let sqrt2over2 = Float.sqrt(2) / 2;\n /// assert Float.arctan2(sqrt2over2, sqrt2over2) == Float.pi / 4;\n /// ```\n public let arctan2 : (y : Float, x : Float) -> Float = Prim.arctan2;\n\n /// Returns the value of `e` raised to the `x`-th power.\n ///\n /// Special cases:\n /// ```\n /// exp(+inf) => +inf\n /// exp(-inf) => 0.0\n /// exp(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.exp(1.0), Float.e, epsilon);\n /// ```\n public let exp : (x : Float) -> Float = Prim.exp;\n\n /// Returns the natural logarithm (base-`e`) of `x`.\n ///\n /// Special cases:\n /// ```\n /// log(0.0) => -inf\n /// log(-0.0) => -inf\n /// log(x) => NaN if x < 0.0\n /// log(+inf) => +inf\n /// log(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.log(Float.e), 1.0, epsilon);\n /// ```\n public let log : (x : Float) -> Float = Prim.log;\n\n /// Formatting. `format(fmt, x)` formats `x` to `Text` according to the\n /// formatting directive `fmt`, which can take one of the following forms:\n ///\n /// * `#fix prec` as fixed-point format with `prec` digits\n /// * `#exp prec` as exponential format with `prec` digits\n /// * `#gen prec` as generic format with `prec` digits\n /// * `#exact` as exact format that can be decoded without loss.\n ///\n /// `-0.0` is formatted with negative sign bit.\n /// Positive infinity is formatted as \"inf\".\n /// Negative infinity is formatted as \"-inf\".\n ///\n /// The numerical precision and the text format can vary between\n /// Motoko versions and runtime configuration. Moreover, `NaN` can be printed\n /// differently, i.e. \"NaN\" or \"nan\", potentially omitting the `NaN` sign.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// assert Float.format(#exp 3, 123.0) == \"1.230e+02\";\n /// ```\n public func format(self : Float, fmt : { #fix : Nat8; #exp : Nat8; #gen : Nat8; #exact }) : Text = switch fmt {\n case (#fix(prec)) { Prim.floatToFormattedText(self, prec, 0) };\n case (#exp(prec)) { Prim.floatToFormattedText(self, prec, 1) };\n case (#gen(prec)) { Prim.floatToFormattedText(self, prec, 2) };\n case (#exact) { Prim.floatToFormattedText(self, 17, 2) }\n };\n\n /// Conversion to Text. Use `format(fmt, x)` for more detailed control.\n ///\n /// `-0.0` is formatted with negative sign bit.\n /// Positive infinity is formatted as `inf`.\n /// Negative infinity is formatted as `-inf`.\n /// `NaN` is formatted as `NaN` or `-NaN` depending on its sign bit.\n ///\n /// The numerical precision and the text format can vary between\n /// Motoko versions and runtime configuration. Moreover, `NaN` can be printed\n /// differently, i.e. \"NaN\" or \"nan\", potentially omitting the `NaN` sign.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// assert Float.toText(1.2) == \"1.2\";\n /// ```\n public let toText : (self : Float) -> Text = Prim.floatToText;\n\n /// Conversion to Int64 by truncating Float, equivalent to `toInt64(trunc(f))`\n ///\n /// Traps if the floating point number is larger or smaller than the representable Int64.\n /// Also traps for `inf`, `-inf`, and `NaN`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.toInt64(-12.3) == -12;\n /// ```\n public let toInt64 : (self : Float) -> Int64 = Prim.floatToInt64;\n\n /// Conversion from Int64.\n ///\n /// Note: The floating point number may be imprecise for large or small Int64.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.fromInt64(-42) == -42.0;\n /// ```\n public let fromInt64 : (x : Int64) -> Float = Prim.int64ToFloat;\n\n /// Conversion to Int.\n ///\n /// Traps for `inf`, `-inf`, and `NaN`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.toInt(1.2e6) == +1_200_000;\n /// ```\n public let toInt : (self : Float) -> Int = Prim.floatToInt;\n\n /// Conversion from Int. May result in `Inf`.\n ///\n /// Note: The floating point number may be imprecise for large or small Int values.\n /// Returns `inf` if the integer is greater than the maximum floating point number.\n /// Returns `-inf` if the integer is less than the minimum floating point number.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.fromInt(-123) == -123.0;\n /// ```\n /// @deprecated M0235\n public let fromInt : (x : Int) -> Float = Prim.intToFloat;\n\n /// Conversion to Float32 (32-bit single precision).\n ///\n /// Note: This may lose precision for values that are not exactly representable in 32-bit.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.toFloat32(1.5) == 1.5;\n /// ```\n public let toFloat32 : (self : Float) -> Prim.Types.Float32 = Prim.floatToFloat32;\n\n /// Conversion from Float32 (32-bit single precision) to Float (64-bit double precision).\n ///\n /// This is a lossless widening conversion.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.fromFloat32(1.5) == 1.5;\n /// ```\n public let fromFloat32 : (x : Prim.Types.Float32) -> Float = Prim.float32ToFloat;\n\n /// Determines whether `x` is equal to `y` within the defined tolerance of `epsilon`.\n /// The `epsilon` considers numerical erros, see comment above.\n /// Equivalent to `Float.abs(x - y) <= epsilon` for a non-negative epsilon.\n ///\n /// Traps if `epsilon` is negative or `NaN`.\n ///\n /// Special cases:\n /// ```\n /// equal(+0.0, -0.0, epsilon) => true for any `epsilon >= 0.0`\n /// equal(-0.0, +0.0, epsilon) => true for any `epsilon >= 0.0`\n /// equal(+inf, +inf, epsilon) => true for any `epsilon >= 0.0`\n /// equal(-inf, -inf, epsilon) => true for any `epsilon >= 0.0`\n /// equal(x, NaN, epsilon) => false for any x and `epsilon >= 0.0`\n /// equal(NaN, y, epsilon) => false for any y and `epsilon >= 0.0`\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(-12.3, -1.23e1, epsilon);\n /// ```\n public func equal(x : Float, y : Float, epsilon : Float) : Bool {\n if (not (epsilon >= 0.0)) {\n // also considers NaN, not identical to `epsilon < 0.0`\n Prim.trap(\"Float.equal(): epsilon must be greater or equal 0.0\")\n };\n x == y or abs(x - y) <= epsilon // `x == y` to also consider infinity equal\n };\n\n /// Determines whether `x` is not equal to `y` within the defined tolerance of `epsilon`.\n /// The `epsilon` considers numerical erros, see comment above.\n /// Equivalent to `not equal(x, y, epsilon)`.\n ///\n /// Traps if `epsilon` is negative or `NaN`.\n ///\n /// Special cases:\n /// ```\n /// notEqual(+0.0, -0.0, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(-0.0, +0.0, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(+inf, +inf, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(-inf, -inf, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(x, NaN, epsilon) => true for any x and `epsilon >= 0.0`\n /// notEqual(NaN, y, epsilon) => true for any y and `epsilon >= 0.0`\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert not Float.notEqual(-12.3, -1.23e1, epsilon);\n /// ```\n public func notEqual(x : Float, y : Float, epsilon : Float) : Bool {\n if (not (epsilon >= 0.0)) {\n // also considers NaN, not identical to `epsilon < 0.0`\n Prim.trap(\"Float.notEqual(): epsilon must be greater or equal 0.0\")\n };\n not (x == y or abs(x - y) <= epsilon)\n };\n\n /// Returns `x < y`.\n ///\n /// Special cases:\n /// ```\n /// less(+0.0, -0.0) => false\n /// less(-0.0, +0.0) => false\n /// less(NaN, y) => false for any Float y\n /// less(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.less(Float.e, Float.pi);\n /// ```\n public func less(x : Float, y : Float) : Bool { x < y };\n\n /// Returns `x <= y`.\n ///\n /// Special cases:\n /// ```\n /// lessOrEqual(+0.0, -0.0) => true\n /// lessOrEqual(-0.0, +0.0) => true\n /// lessOrEqual(NaN, y) => false for any Float y\n /// lessOrEqual(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.lessOrEqual(0.123, 0.1234);\n /// ```\n public func lessOrEqual(x : Float, y : Float) : Bool { x <= y };\n\n /// Returns `x > y`.\n ///\n /// Special cases:\n /// ```\n /// greater(+0.0, -0.0) => false\n /// greater(-0.0, +0.0) => false\n /// greater(NaN, y) => false for any Float y\n /// greater(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.greater(Float.pi, Float.e);\n /// ```\n public func greater(x : Float, y : Float) : Bool { x > y };\n\n /// Returns `x >= y`.\n ///\n /// Special cases:\n /// ```\n /// greaterOrEqual(+0.0, -0.0) => true\n /// greaterOrEqual(-0.0, +0.0) => true\n /// greaterOrEqual(NaN, y) => false for any Float y\n /// greaterOrEqual(x, NaN) => false for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.greaterOrEqual(0.1234, 0.123);\n /// ```\n public func greaterOrEqual(x : Float, y : Float) : Bool {\n x >= y\n };\n\n /// Defines a total order of `x` and `y` for use in sorting.\n ///\n /// Note: Using this operation to determine equality or inequality is discouraged for two reasons:\n /// * It does not consider numerical errors, see comment above. Use `equal(x, y, espilon)` or\n /// `notEqual(x, y, epsilon)` to test for equality or inequality, respectively.\n /// * `NaN` are here considered equal if their sign matches, which is different to the standard equality\n /// by `==` or when using `equal()` or `notEqual()`.\n ///\n /// Total order:\n /// * negative NaN (no distinction between signalling and quiet negative NaN)\n /// * negative infinity\n /// * negative numbers (including negative subnormal numbers in standard order)\n /// * negative zero (`-0.0`)\n /// * positive zero (`+0.0`)\n /// * positive numbers (including positive subnormal numbers in standard order)\n /// * positive infinity\n /// * positive NaN (no distinction between signalling and quiet positive NaN)\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float.compare(0.123, 0.1234) == #less;\n /// ```\n public func compare(x : Float, y : Float) : Order.Order {\n if (isNaN(x)) {\n if (isNegative(x)) {\n if (isNaN(y) and isNegative(y)) { #equal } else { #less }\n } else {\n if (isNaN(y) and not isNegative(y)) { #equal } else { #greater }\n }\n } else if (isNaN(y)) {\n if (isNegative(y)) {\n #greater\n } else {\n #less\n }\n } else {\n if (x == y) { #equal } else if (x < y) { #less } else {\n #greater\n }\n }\n };\n\n func isNegative(self : Float) : Bool {\n copySign(1.0, self) < 0.0\n };\n\n /// Returns the negation of `x`, `-x` .\n ///\n /// Changes the sign bit for infinity.\n ///\n /// Special cases:\n /// ```\n /// neg(+inf) => -inf\n /// neg(-inf) => +inf\n /// neg(+NaN) => -NaN\n /// neg(-NaN) => +NaN\n /// neg(+0.0) => -0.0\n /// neg(-0.0) => +0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.neg(1.23), -1.23, epsilon);\n /// ```\n public func neg(x : Float) : Float { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// add(+inf, y) => +inf if y is any Float except -inf and NaN\n /// add(-inf, y) => -inf if y is any Float except +inf and NaN\n /// add(+inf, -inf) => NaN\n /// add(NaN, y) => NaN for any Float y\n /// ```\n /// The same cases apply commutatively, i.e. for `add(y, x)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.add(1.23, 0.123), 1.353, epsilon);\n /// ```\n public func add(x : Float, y : Float) : Float { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// sub(+inf, y) => +inf if y is any Float except +inf or NaN\n /// sub(-inf, y) => -inf if y is any Float except -inf and NaN\n /// sub(x, +inf) => -inf if x is any Float except +inf and NaN\n /// sub(x, -inf) => +inf if x is any Float except -inf and NaN\n /// sub(+inf, +inf) => NaN\n /// sub(-inf, -inf) => NaN\n /// sub(NaN, y) => NaN for any Float y\n /// sub(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.sub(1.23, 0.123), 1.107, epsilon);\n /// ```\n public func sub(x : Float, y : Float) : Float { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// mul(+inf, y) => +inf if y > 0.0\n /// mul(-inf, y) => -inf if y > 0.0\n /// mul(+inf, y) => -inf if y < 0.0\n /// mul(-inf, y) => +inf if y < 0.0\n /// mul(+inf, 0.0) => NaN\n /// mul(-inf, 0.0) => NaN\n /// mul(NaN, y) => NaN for any Float y\n /// ```\n /// The same cases apply commutatively, i.e. for `mul(y, x)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.mul(1.23, 1e2), 123.0, epsilon);\n /// ```\n public func mul(x : Float, y : Float) : Float { x * y };\n\n /// Returns the division of `x` by `y`, `x / y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// div(0.0, 0.0) => NaN\n /// div(x, 0.0) => +inf for x > 0.0\n /// div(x, 0.0) => -inf for x < 0.0\n /// div(x, +inf) => 0.0 for any x except +inf, -inf, and NaN\n /// div(x, -inf) => 0.0 for any x except +inf, -inf, and NaN\n /// div(+inf, y) => +inf if y >= 0.0\n /// div(+inf, y) => -inf if y < 0.0\n /// div(-inf, y) => -inf if y >= 0.0\n /// div(-inf, y) => +inf if y < 0.0\n /// div(NaN, y) => NaN for any Float y\n /// div(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.div(1.23, 1e2), 0.0123, epsilon);\n /// ```\n public func div(x : Float, y : Float) : Float { x / y };\n\n /// Returns the floating point division remainder `x % y`,\n /// which is defined as `x - trunc(x / y) * y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// rem(0.0, 0.0) => NaN\n /// rem(x, y) => +inf if sign(x) == sign(y) for any x and y not being +inf, -inf, or NaN\n /// rem(x, y) => -inf if sign(x) != sign(y) for any x and y not being +inf, -inf, or NaN\n /// rem(x, +inf) => x for any x except +inf, -inf, and NaN\n /// rem(x, -inf) => x for any x except +inf, -inf, and NaN\n /// rem(+inf, y) => NaN for any Float y\n /// rem(-inf, y) => NaN for any Float y\n /// rem(NaN, y) => NaN for any Float y\n /// rem(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.rem(7.2, 2.3), 0.3, epsilon);\n /// ```\n public func rem(x : Float, y : Float) : Float { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// pow(+inf, y) => +inf for any y > 0.0 including +inf\n /// pow(+inf, 0.0) => 1.0\n /// pow(+inf, y) => 0.0 for any y < 0.0 including -inf\n /// pow(x, +inf) => +inf if x > 0.0 or x < 0.0\n /// pow(0.0, +inf) => 0.0\n /// pow(x, -inf) => 0.0 if x > 0.0 or x < 0.0\n /// pow(0.0, -inf) => +inf\n /// pow(x, y) => NaN if x < 0.0 and y is a non-integral Float\n /// pow(-inf, y) => +inf if y > 0.0 and y is a non-integral or an even integral Float\n /// pow(-inf, y) => -inf if y > 0.0 and y is an odd integral Float\n /// pow(-inf, 0.0) => 1.0\n /// pow(-inf, y) => 0.0 if y < 0.0\n /// pow(-inf, +inf) => +inf\n /// pow(-inf, -inf) => 1.0\n /// pow(NaN, y) => NaN if y != 0.0\n /// pow(NaN, 0.0) => 1.0\n /// pow(x, NaN) => NaN for any Float x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-6;\n /// assert Float.equal(Float.pow(2.5, 2.0), 6.25, epsilon);\n /// ```\n public func pow(x : Float, y : Float) : Float { x ** y };\n\n}\n"},"Blob.mo":{"content":"/// Module for working with Blobs (immutable sequences of bytes).\n///\n/// Blobs represent sequences of bytes. They are immutable, iterable, but not indexable and can be empty.\n///\n/// Byte sequences are also often represented as `[Nat8]`, i.e. an array of bytes, but this representation is currently much less compact than `Blob`, taking 4 physical bytes to represent each logical byte in the sequence.\n/// If you would like to manipulate Blobs, it is recommended that you convert\n/// Blobs to `[var Nat8]` or `Buffer`, do the manipulation, then convert back.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Blob \"mo:core/Blob\";\n/// ```\n///\n/// Some built in features not listed in this module:\n///\n/// * You can create a `Blob` literal from a `Text` literal, provided the context expects an expression of type `Blob`.\n/// * `b.size() : Nat` returns the number of bytes in the blob `b`;\n/// * `b.values() : Iter.Iter` returns an iterator to enumerate the bytes of the blob `b`.\n///\n/// For example:\n/// ```motoko include=import\n/// import Debug \"mo:core/Debug\";\n/// import Nat8 \"mo:core/Nat8\";\n///\n/// let blob = \"\\00\\00\\00\\ff\" : Blob; // blob literals, where each byte is delimited by a back-slash and represented in hex\n/// let blob2 = \"charsもあり\" : Blob; // you can also use characters in the literals\n/// let numBytes = blob.size();\n/// assert numBytes == 4; // returns the number of bytes in the Blob\n/// for (byte in blob.values()) { // iterator over the Blob\n/// Debug.print(Nat8.toText(byte))\n/// }\n/// ```\n\nimport Types \"Types\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n public type Blob = Prim.Types.Blob;\n\n /// Returns an empty `Blob` (equivalent to `\"\"`).\n ///\n /// Example:\n /// ```motoko include=import\n /// let emptyBlob = Blob.empty();\n /// assert emptyBlob.size() == 0;\n /// ```\n public func empty() : Blob = \"\";\n\n /// Returns whether the given `Blob` is empty (has a size of zero).\n ///\n /// ```motoko include=import\n /// let blob1 = \"\" : Blob;\n /// let blob2 = \"\\FF\\00\" : Blob;\n /// assert Blob.isEmpty(blob1);\n /// assert not Blob.isEmpty(blob2);\n /// ```\n public func isEmpty(self : Blob) : Bool = self == \"\";\n\n /// Returns the number of bytes in the given `Blob`.\n /// This is equivalent to `blob.size()`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\FF\\00\\AA\" : Blob;\n /// assert Blob.size(blob) == 3;\n /// assert blob.size() == 3;\n /// ```\n public func size(self : Blob) : Nat = self.size();\n\n /// Creates a `Blob` from an array of bytes (`[Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// let bytes : [Nat8] = [0, 255, 0];\n /// let blob = Blob.fromArray(bytes);\n /// assert blob == \"\\00\\FF\\00\";\n /// ```\n public let fromArray : (bytes : [Nat8]) -> Blob = Prim.arrayToBlob;\n\n /// Creates a `Blob` from a mutable array of bytes (`[var Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// let bytes : [var Nat8] = [var 0, 255, 0];\n /// let blob = Blob.fromVarArray(bytes);\n /// assert blob == \"\\00\\FF\\00\";\n /// ```\n public let fromVarArray : (bytes : [var Nat8]) -> Blob = Prim.arrayMutToBlob;\n\n /// Converts a `Blob` to an array of bytes (`[Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\00\\FF\\00\" : Blob;\n /// let bytes = Blob.toArray(blob);\n /// assert bytes == [0, 255, 0];\n /// ```\n public let toArray : (self : Blob) -> [Nat8] = Prim.blobToArray;\n\n /// Converts a `Blob` to a mutable array of bytes (`[var Nat8]`), by copying each element.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat8 \"mo:core/Nat8\";\n /// import VarArray \"mo:core/VarArray\";\n ///\n /// let blob = \"\\00\\FF\\00\" : Blob;\n /// let bytes = Blob.toVarArray(blob);\n /// assert VarArray.equal(bytes, [var 0, 255, 0], Nat8.equal);\n /// ```\n public let toVarArray : (self : Blob) -> [var Nat8] = Prim.blobToArrayMut;\n\n /// Returns the (non-cryptographic) hash of `blob`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\00\\FF\\00\" : Blob;\n /// let h = Blob.hash(blob);\n /// assert h == 1_818_567_776;\n /// ```\n public let hash : (self : Blob) -> Types.Hash = Prim.hashBlob;\n\n /// General purpose comparison function for `Blob` by comparing the value of\n /// the bytes. Returns the `Order` (either `#less`, `#equal`, or `#greater`)\n /// by comparing `blob1` with `blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\00\\00\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// let result = Blob.compare(blob1, blob2);\n /// assert result == #less;\n /// ```\n public func compare(self : Blob, other : Blob) : Order.Order {\n let c = Prim.blobCompare(self, other);\n if (c < 0) #less else if (c == 0) #equal else #greater\n };\n\n /// Equality function for `Blob` types.\n /// This is equivalent to `blob1 == blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\FF\\00\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.equal(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import List \"mo:core/List\";\n ///\n /// let list1 = List.singleton(\"\\00\\FF\\00\");\n /// let list2 = List.singleton(\"\\00\\FF\\00\");\n /// assert List.equal(list1, list2, Blob.equal);\n /// ```\n public func equal(self : Blob, other : Blob) : Bool { self == other };\n\n /// Inequality function for `Blob` types.\n /// This is equivalent to `blob1 != blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.notEqual(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func notEqual(self : Blob, other : Blob) : Bool { self != other };\n\n /// \"Less than\" function for `Blob` types.\n /// This is equivalent to `blob1 < blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.less(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func less(self : Blob, other : Blob) : Bool { self < other };\n\n /// \"Less than or equal to\" function for `Blob` types.\n /// This is equivalent to `blob1 <= blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\00\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\FF\\00\" : Blob;\n /// assert Blob.lessOrEqual(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func lessOrEqual(self : Blob, other : Blob) : Bool { self <= other };\n\n /// \"Greater than\" function for `Blob` types.\n /// This is equivalent to `blob1 > blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\BB\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\00\\00\" : Blob;\n /// assert Blob.greater(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greater(self : Blob, other : Blob) : Bool { self > other };\n\n /// \"Greater than or equal to\" function for `Blob` types.\n /// This is equivalent to `blob1 >= blob2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob1 = \"\\BB\\AA\\AA\" : Blob;\n /// let blob2 = \"\\00\\00\\00\" : Blob;\n /// assert Blob.greaterOrEqual(blob1, blob2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greaterOrEqual(self : Blob, other : Blob) : Bool {\n self >= other\n };\n\n}\n"},"Int16.mo":{"content":"/// Utility functions on 16-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int16 \"mo:core/Int16\";\n/// ```\n\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 16-bit signed integers.\n public type Int16 = Prim.Types.Int16;\n\n /// Minimum 16-bit integer value, `-2 ** 15`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.minValue == (-32_768 : Int16);\n /// ```\n public let minValue : Int16 = -32_768;\n\n /// Maximum 16-bit integer value, `+2 ** 15 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.maxValue == (+32_767 : Int16);\n /// ```\n public let maxValue : Int16 = 32_767;\n\n /// Converts a 16-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt(12_345) == (12_345 : Int);\n /// ```\n public let toInt : (self : Int16) -> Int = Prim.int16ToInt;\n\n /// Converts a signed integer with infinite precision to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt(12_345) == (+12_345 : Int16);\n /// ```\n public let fromInt : Int -> Int16 = Prim.intToInt16;\n\n /// Converts a signed integer with infinite precision to a 16-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromIntWrap(-12_345) == (-12_345 : Int);\n /// ```\n public let fromIntWrap : Int -> Int16 = Prim.intToInt16Wrap;\n\n /// Converts a 8-bit signed integer to a 16-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt8(-123) == (-123 : Int16);\n /// ```\n public let fromInt8 : Int8 -> Int16 = Prim.int8ToInt16;\n\n /// Converts a 16-bit signed integer to a 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt8(-123) == (-123 : Int8);\n /// ```\n public let toInt8 : (self : Int16) -> Int8 = Prim.int16ToInt8;\n\n /// Converts a 32-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt32(-12_345) == (-12_345 : Int16);\n /// ```\n public let fromInt32 : Int32 -> Int16 = Prim.int32ToInt16;\n\n /// Converts a 16-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt32(-12_345) == (-12_345 : Int32);\n /// ```\n public let toInt32 : (self : Int16) -> Int32 = Prim.int16ToInt32;\n\n /// Converts a 64-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromInt64(-12_345) == (-12_345 : Int16);\n /// ```\n public func fromInt64(x : Int64) : Int16 {\n Prim.int32ToInt16(Prim.int64ToInt32(x))\n };\n\n /// Converts a 16-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toInt64(-12_345) == (-12_345 : Int64);\n /// ```\n public func toInt64(self : Int16) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(self))\n };\n\n /// Converts an unsigned 16-bit integer to a signed 16-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.fromNat16(12_345) == (+12_345 : Int16);\n /// ```\n public let fromNat16 : Nat16 -> Int16 = Prim.nat16ToInt16;\n\n /// Converts a signed 16-bit integer to an unsigned 16-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toNat16(-1) == (65_535 : Nat16); // underflow\n /// ```\n public let toNat16 : (self : Int16) -> Nat16 = Prim.int16ToNat16;\n\n /// Returns the Text representation of `x`. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.toText(-12345) == \"-12345\";\n /// ```\n public func toText(self : Int16) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 15` (the minimum `Int16` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.abs(-12345) == +12_345;\n /// ```\n public func abs(x : Int16) : Int16 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.min(+2, -3) == -3;\n /// ```\n public func min(x : Int16, y : Int16) : Int16 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.max(+2, -3) == +2;\n /// ```\n public func max(x : Int16, y : Int16) : Int16 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int16 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int16 = -123;\n /// let b : Int16 = 123;\n /// assert not Int16.equal(a, b);\n /// ```\n public func equal(x : Int16, y : Int16) : Bool { x == y };\n\n /// Inequality function for Int16 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int16, y : Int16) : Bool { x != y };\n\n /// \"Less than\" function for Int16 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int16, y : Int16) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int16 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int16, y : Int16) : Bool { x <= y };\n\n /// \"Greater than\" function for Int16 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert not Int16.greater(-2, 1);\n /// ```\n public func greater(x : Int16, y : Int16) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int16 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.greaterOrEqual(-2, -2);\n /// ```\n public func greaterOrEqual(x : Int16, y : Int16) : Bool {\n x >= y\n };\n\n /// General-purpose comparison function for `Int16`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int16], Int16.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int16, y : Int16) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 15)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int16) : Int16 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.add(100, 23) == +123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int16.add) == -4;\n /// ```\n public func add(x : Int16, y : Int16) : Int16 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.sub(123, 100) == +23;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int16.sub) == 4;\n /// ```\n public func sub(x : Int16, y : Int16) : Int16 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.mul(12, 10) == +120;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int16.mul) == 6;\n /// ```\n public func mul(x : Int16, y : Int16) : Int16 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int16, y : Int16) : Int16 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int16, y : Int16) : Int16 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 16`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.pow(2, 10) == +1_024;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int16, y : Int16) : Int16 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitnot(-256 /* 0xff00 */) == +255 // 0xff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int16) : Int16 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitand(0x0fff, 0x00f0) == +240 // 0xf0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int16, y : Int16) : Int16 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitor(0x0f0f, 0x00f0) == +4_095 // 0x0fff;\n /// ```\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int16, y : Int16) : Int16 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitxor(0x0fff, 0x00f0) == +3_855 // 0x0f0f;\n /// ```\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int16, y : Int16) : Int16 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 16`, the semantics is the same as for `bitshiftLeft(x, y % 16)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitshiftLeft(1, 8) == +256 // 0x100 equivalent to `2 ** 8`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int16, y : Int16) : Int16 {\n x << y\n };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 16`, the semantics is the same as for `bitshiftRight(x, y % 16)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitshiftRight(1024, 8) == +4 // equivalent to `1024 / (2 ** 8)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int16, y : Int16) : Int16 {\n x >> y\n };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 16`, the semantics is the same as for `bitrotLeft(x, y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitrotLeft(0x2001, 4) == +18 // 0x12.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int16, y : Int16) : Int16 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 16`, the semantics is the same as for `bitrotRight(x, y % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitrotRight(0x2010, 8) == +4_128 // 0x01020.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int16, y : Int16) : Int16 {\n x <>> y\n };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 16`, the semantics is the same as for `bittest(x, p % 16)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bittest(128, 7);\n /// ```\n public func bittest(x : Int16, p : Nat) : Bool {\n Prim.btstInt16(x, Prim.intToInt16(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 16`, the semantics is the same as for `bitset(x, p % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitset(0, 7) == +128;\n /// ```\n public func bitset(x : Int16, p : Nat) : Int16 {\n x | (1 << Prim.intToInt16(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 16`, the semantics is the same as for `bitclear(x, p % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitclear(-1, 7) == -129;\n /// ```\n public func bitclear(x : Int16, p : Nat) : Int16 {\n x & ^(1 << Prim.intToInt16(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 16`, the semantics is the same as for `bitclear(x, p % 16)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitflip(255, 7) == +127;\n /// ```\n public func bitflip(x : Int16, p : Nat) : Int16 {\n x ^ (1 << Prim.intToInt16(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitcountNonZero(0xff) == +8;\n /// ```\n public let bitcountNonZero : (x : Int16) -> Int16 = Prim.popcntInt16;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitcountLeadingZero(0x80) == +8;\n /// ```\n public let bitcountLeadingZero : (x : Int16) -> Int16 = Prim.clzInt16;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.bitcountTrailingZero(0x0100) == +8;\n /// ```\n public let bitcountTrailingZero : (x : Int16) -> Int16 = Prim.ctzInt16;\n\n /// Returns the upper (i.e. most significant) and lower (least significant) byte of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.explode 0x77ee == (119, 238);\n /// ```\n public let explode : (x : Int16) -> (msb : Nat8, lsb : Nat8) = Prim.explodeInt16;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.addWrap(2 ** 14, 2 ** 14) == -32_768; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int16, y : Int16) : Int16 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.subWrap(-2 ** 15, 1) == +32_767; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int16, y : Int16) : Int16 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int16.mulWrap(2 ** 8, 2 ** 8) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int16, y : Int16) : Int16 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 16`.\n ///\n /// Example:\n /// ```motoko include=import\n ///\n /// assert Int16.powWrap(2, 15) == -32_768; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int16, y : Int16) : Int16 { x **% y };\n\n /// Returns an iterator over `Int16` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int16, toExclusive : Int16) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int16 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int16` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int16, to : Int16) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int16 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int16 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int16.allValues();\n /// assert iter.next() == ?-32_768;\n /// assert iter.next() == ?-32_767;\n /// assert iter.next() == ?-32_766;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"Map.mo":{"content":"/// An imperative key-value map based on order/comparison of the keys.\n/// The map data structure type is stable and can be used for orthogonal persistence.\n///\n/// Example:\n/// ```motoko\n/// import Map \"mo:core/Map\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// // creation\n/// let map = Map.empty();\n/// // insertion\n/// Map.add(map, Nat.compare, 0, \"Zero\");\n/// // retrieval\n/// assert Map.get(map, Nat.compare, 0) == ?\"Zero\";\n/// assert Map.get(map, Nat.compare, 1) == null;\n/// // removal\n/// Map.remove(map, Nat.compare, 0);\n/// assert Map.isEmpty(map);\n/// }\n/// ```\n///\n/// The internal implementation is a B-tree with order 32.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire map.\n/// `n` denotes the number of key-value entries stored in the map.\n\n// Data structure implementation is courtesy of Byron Becker.\n// Source: https://github.com/canscale/StableHeapBTreeMap\n// Copyright (c) 2022 Byron Becker.\n// Distributed under Apache 2.0 license.\n// With adjustments by the Motoko team.\n\nimport PureMap \"pure/Map\";\nimport Types \"Types\";\nimport Iter \"Iter\";\nimport Order \"Order\";\nimport VarArray \"VarArray\";\nimport Runtime \"Runtime\";\nimport Stack \"Stack\";\nimport Option \"Option\";\nimport BTreeHelper \"internal/BTreeHelper\";\n\nmodule {\n let btreeOrder = 32; // Should be >= 4 and <= 512.\n\n public type Map = Types.Map;\n\n type Node = Types.Map.Node;\n type Data = Types.Map.Data;\n type Internal = Types.Map.Internal;\n type Leaf = Types.Map.Leaf;\n\n /// Convert the mutable key-value map to an immutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import PureMap \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(), Nat.compare);\n /// let pureMap = Map.toPure(map, Nat.compare);\n /// assert Iter.toArray(PureMap.entries(pureMap)) == Iter.toArray(Map.entries(map))\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n /// @deprecated M0235\n public func toPure(self : Map, compare : (implicit : (K, K) -> Order.Order)) : PureMap.Map {\n PureMap.fromIter(entries(self), compare)\n };\n\n /// Convert an immutable key-value map to a mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import PureMap \"mo:core/pure/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let pureMap = PureMap.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(), Nat.compare);\n /// let map = Map.fromPure(pureMap, Nat.compare);\n /// assert Iter.toArray(Map.entries(map)) == Iter.toArray(PureMap.entries(pureMap))\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func fromPure(map : PureMap.Map, compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(PureMap.entries(map), compare)\n };\n\n /// Create a copy of the mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let originalMap = Map.fromIter(\n /// [(1, \"One\"), (2, \"Two\"), (3, \"Three\")].values(), Nat.compare);\n /// let clonedMap = Map.clone(originalMap);\n /// Map.add(originalMap, Nat.compare, 4, \"Four\");\n /// assert Map.size(clonedMap) == 3;\n /// assert Map.size(originalMap) == 4;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func clone(self : Map) : Map {\n {\n var root = cloneNode(self.root);\n var size = self.size\n }\n };\n\n /// Create a new empty mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Map {\n {\n var root = #leaf({\n data = {\n kvs = VarArray.repeat(null, btreeOrder - 1);\n var count = 0\n }\n });\n var size = 0\n }\n };\n\n /// Create a new mutable key-value map with a single entry.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(0, \"Zero\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(key : K, value : V) : Map {\n let kvs = VarArray.repeat(null, btreeOrder - 1);\n kvs[0] := ?(key, value);\n {\n var root = #leaf { data = { kvs; var count = 1 } };\n var size = 1\n }\n };\n\n /// Delete all the entries in the key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.size(map) == 3;\n ///\n /// Map.clear(map);\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func clear(self : Map) {\n let emptyMap = empty();\n self.root := emptyMap.root;\n self.size := 0\n };\n\n /// Determines whether a key-value map is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert not Map.isEmpty(map);\n /// Map.clear(map);\n /// assert Map.isEmpty(map);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Map) : Bool {\n self.size == 0\n };\n\n /// Return the number of entries in a key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.size(map) == 3;\n /// Map.clear(map);\n /// assert Map.size(map) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func size(self : Map) : Nat {\n self.size\n };\n\n /// Test whether two imperative maps have equal entries.\n /// Both maps have to be constructed by the same comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n /// let map2 = Map.clone(map1);\n ///\n /// assert Map.equal(map1, map2, Nat.compare, Text.equal);\n /// Map.clear(map2);\n /// assert not Map.equal(map1, map2, Nat.compare, Text.equal);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func equal(self : Map, other : Map, compare : (implicit : (K, K) -> Types.Order), equal : (implicit : (V, V) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n let next1 = iterator1.next();\n let next2 = iterator2.next();\n switch (next1, next2) {\n case (null, null) {\n return true\n };\n case (?(key1, value1), ?(key2, value2)) {\n if (\n not (compare(key1, key2) == #equal) or\n not equal(value1, value2)\n ) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Tests whether the map contains the provided key.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.containsKey(map, Nat.compare, 1);\n /// assert not Map.containsKey(map, Nat.compare, 3);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func containsKey(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Bool {\n Option.isSome(get(self, compare, key))\n };\n\n /// Get the value associated with key in the given map if present and `null` otherwise.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.get(map, Nat.compare, 1) == ?\"One\";\n /// assert Map.get(map, Nat.compare, 3) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func get(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : ?V {\n switch (self.root) {\n case (#internal(internalNode)) {\n getFromInternal(internalNode, compare, key)\n };\n case (#leaf(leafNode)) { getFromLeaf(leafNode, compare, key) }\n }\n };\n\n /// Given `map` ordered by `compare`, insert a new mapping from `key` to `value`.\n /// Replaces any existing entry under `key`.\n /// Returns true if the key is new to the map, otherwise false.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n /// assert Map.insert(map, Nat.compare, 0, \"Zero\");\n /// assert Map.insert(map, Nat.compare, 1, \"One\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\")];\n /// assert not Map.insert(map, Nat.compare, 0, \"Nil\");\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")]\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func insert(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : Bool {\n switch (swap(self, compare, key, value)) {\n case null true;\n case _ false\n }\n };\n\n /// Given `map` ordered by `compare`, add a mapping from `key` to `value` to `map`.\n /// Replaces any existing entry for `key`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n ///\n /// Map.add(map, Nat.compare, 0, \"Zero\");\n /// Map.add(map, Nat.compare, 1, \"One\");\n /// Map.add(map, Nat.compare, 0, \"Nil\");\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")]\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func add(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) {\n ignore swap(self, compare, key, value)\n };\n\n /// Associates the value with the key in the map.\n /// If the key is not yet present in the map, a new key-value pair is added and `null` is returned.\n /// Otherwise, if the key is already present, the value is overwritten and the previous value is returned.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(1, \"One\");\n ///\n /// assert Map.swap(map, Nat.compare, 0, \"Zero\") == null;\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\")];\n ///\n /// assert Map.swap(map, Nat.compare, 0, \"Nil\") == ?\"Zero\";\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Nil\"), (1, \"One\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func swap(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : ?V {\n let insertResult = switch (self.root) {\n case (#leaf(leafNode)) {\n leafInsertHelper(leafNode, btreeOrder, compare, key, value)\n };\n case (#internal(internalNode)) {\n internalInsertHelper(internalNode, btreeOrder, compare, key, value)\n }\n };\n\n switch (insertResult) {\n case (#insert(ov)) {\n switch (ov) {\n // if inserted a value that was not previously there, increment the tree size counter\n case null { self.size += 1 };\n case _ {}\n };\n ov\n };\n case (#promote({ kv; leftChild; rightChild })) {\n let kvs = VarArray.repeat(null, btreeOrder - 1);\n kvs[0] := ?kv;\n let children = VarArray.repeat>(null, btreeOrder);\n children[0] := ?leftChild;\n children[1] := ?rightChild;\n self.root := #internal({\n data = {\n kvs;\n var count = 1\n };\n children\n });\n // promotion always comes from inserting a new element, so increment the tree size counter\n self.size += 1;\n\n null\n }\n }\n };\n\n /// Overwrites the value of an existing key and returns the previous value.\n /// If the key does not exist, it has no effect and returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.singleton(0, \"Zero\");\n ///\n /// let prev1 = Map.replace(map, Nat.compare, 0, \"Nil\"); // overwrites the value for existing key.\n /// assert prev1 == ?\"Zero\";\n /// assert Map.get(map, Nat.compare, 0) == ?\"Nil\";\n ///\n /// let prev2 = Map.replace(map, Nat.compare, 1, \"One\"); // no effect, key is absent\n /// assert prev2 == null;\n /// assert Map.get(map, Nat.compare, 1) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func replace(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K, value : V) : ?V {\n // TODO: Could be optimized in future\n if (containsKey(self, compare, key)) {\n swap(self, compare, key, value)\n } else {\n null\n }\n };\n\n /// Delete an entry by its key in the map.\n /// No effect if the key is not present.\n ///\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(),\n /// Nat.compare);\n ///\n /// Map.remove(map, Nat.compare, 1);\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n /// Map.remove(map, Nat.compare, 42);\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n public func remove(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) {\n ignore delete(self, compare, key)\n };\n\n /// Delete an existing entry by its key in the map.\n /// Returns `true` if the key was present in the map, otherwise `false`.\n ///\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.delete(map, Nat.compare, 1); // present, returns true\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n ///\n /// assert not Map.delete(map, Nat.compare, 42); // absent, returns false\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// @deprecated M0235\n public func delete(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : Bool {\n switch (take(self, compare, key)) {\n case null false;\n case _ true\n }\n };\n\n /// Removes any existing entry by its key in the map.\n /// Returns the previous value of the key or `null` if the key was absent.\n ///\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter(\n /// [(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(),\n /// Nat.compare);\n ///\n /// assert Map.take(map, Nat.compare, 0) == ?\"Zero\";\n /// assert Iter.toArray(Map.entries(map)) == [(1, \"One\"), (2, \"Two\")];\n ///\n /// assert Map.take(map, Nat.compare, 3) == null;\n /// assert Iter.toArray(Map.entries(map)) == [(1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// @deprecated M0235\n public func take(self : Map, compare : (implicit : (K, K) -> Order.Order), key : K) : ?V {\n let deletedValue = switch (self.root) {\n case (#leaf(leafNode)) {\n // TODO: think about how this can be optimized so don't have to do two steps (search and then insert)?\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, key)) {\n case (#keyFound(deleteIndex)) {\n leafNode.data.count -= 1;\n let (_, deletedValue) = BTreeHelper.deleteAndShift<(K, V)>(leafNode.data.kvs, deleteIndex);\n self.size -= 1;\n ?deletedValue\n };\n case _ { null }\n }\n };\n case (#internal(internalNode)) {\n let deletedValueResult = switch (internalDeleteHelper(internalNode, btreeOrder, compare, key, false)) {\n case (#delete(value)) { value };\n case (#mergeChild({ internalChild; deletedValue })) {\n if (internalChild.data.count > 0) {\n self.root := #internal(internalChild)\n }\n // This case will be hit if the BTree has order == 4\n // In this case, the internalChild has no keys (last key was merged with new child), so need to promote that merged child (its only child)\n else {\n self.root := switch (internalChild.children[0]) {\n case (?node) { node };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.delete(), element deletion failed, due to a null replacement node error\")\n }\n }\n };\n deletedValue\n }\n };\n switch (deletedValueResult) {\n // if deleted a value from the BTree, decrement the size\n case (?deletedValue) { self.size -= 1 };\n case null {}\n };\n deletedValueResult\n }\n };\n deletedValue\n };\n\n public func toArray(self : Map) : [(K, V)] {\n Iter.toArray(entries(self))\n };\n\n public func toVarArray(self : Map) : [var (K, V)] {\n Iter.toVarArray(entries(self))\n };\n\n /// Retrieves the key-value pair from the map with the maximum key.\n /// If the map is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n ///\n /// assert Map.maxEntry(map) == null;\n ///\n /// Map.add(map, Nat.compare, 0, \"Zero\");\n /// Map.add(map, Nat.compare, 2, \"Two\");\n /// Map.add(map, Nat.compare, 1, \"One\");\n ///\n /// assert Map.maxEntry(map) == ?(2, \"Two\")\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func maxEntry(self : Map) : ?(K, V) {\n reverseEntries(self).next()\n };\n\n /// Retrieves the key-value pair from the map with the minimum key.\n /// If the map is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.empty();\n ///\n /// assert Map.minEntry(map) == null;\n ///\n /// Map.add(map, Nat.compare, 2, \"Two\");\n /// Map.add(map, Nat.compare, 0, \"Zero\");\n /// Map.add(map, Nat.compare, 1, \"One\");\n ///\n /// assert Map.minEntry(map) == ?(0, \"Zero\")\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of key-value entries stored in the map.\n public func minEntry(self : Map) : ?(K, V) {\n entries(self).next()\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// traversing the entries in the ascending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.entries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func entries(self : Map) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) { return leafEntries(leafNode) };\n case (#internal(internalNode)) { internalEntries(internalNode) }\n }\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// starting from a given key in ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (3, \"Three\"), (1, \"One\")].values(), Nat.compare);\n /// assert Iter.toArray(Map.entriesFrom(map, Nat.compare, 1)) == [(1, \"One\"), (3, \"Three\")];\n /// assert Iter.toArray(Map.entriesFrom(map, Nat.compare, 2)) == [(3, \"Three\")];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func entriesFrom(\n self : Map,\n compare : (implicit : (K, K) -> Order.Order),\n key : K\n ) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) leafEntriesFrom(leafNode, compare, key);\n case (#internal(internalNode)) internalEntriesFrom(internalNode, compare, key)\n }\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// traversing the entries in the descending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.reverseEntries(map)) == [(2, \"Two\"), (1, \"One\"), (0, \"Zero\")];\n /// var sum = 0;\n /// var text = \"\";\n /// for ((k, v) in Map.reverseEntries(map)) { sum += k; text #= v };\n /// assert sum == 3;\n /// assert text == \"TwoOneZero\"\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseEntries(self : Map) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) reverseLeafEntries(leafNode);\n case (#internal(internalNode)) reverseInternalEntries(internalNode)\n }\n };\n\n /// Returns an iterator over the key-value pairs in the map,\n /// starting from a given key in descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (1, \"One\"), (3, \"Three\")].values(), Nat.compare);\n /// assert Iter.toArray(Map.reverseEntriesFrom(map, Nat.compare, 0)) == [(0, \"Zero\")];\n /// assert Iter.toArray(Map.reverseEntriesFrom(map, Nat.compare, 2)) == [(1, \"One\"), (0, \"Zero\")];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseEntriesFrom(\n self : Map,\n compare : (implicit : (K, K) -> Order.Order),\n key : K\n ) : Types.Iter<(K, V)> {\n switch (self.root) {\n case (#leaf(leafNode)) reverseLeafEntriesFrom(leafNode, compare, key);\n case (#internal(internalNode)) reverseInternalEntriesFrom(internalNode, compare, key)\n }\n };\n\n /// Returns an iterator over the keys in the map,\n /// traversing all keys in ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.keys(map)) == [0, 1, 2];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func keys(self : Map) : Types.Iter {\n object {\n let iterator = entries(self);\n\n public func next() : ?K {\n switch (iterator.next()) {\n case null null;\n case (?(key, _)) ?key\n }\n }\n }\n };\n\n /// Returns an iterator over the values in the map,\n /// traversing the values in the ascending order of the keys to which they are associated.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// assert Iter.toArray(Map.values(map)) == [\"Zero\", \"One\", \"Two\"];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func values(self : Map) : Types.Iter {\n object {\n let iterator = entries(self);\n\n public func next() : ?V {\n switch (iterator.next()) {\n case null null;\n case (?(_, value)) ?value\n }\n }\n }\n };\n\n /// Create a mutable key-value map with the entries obtained from an iterator.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = Map.fromIter(iter, Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func fromIter(iter : Types.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map {\n let map = empty();\n for ((key, value) in iter) {\n add(map, compare, key, value)\n };\n map\n };\n\n /// Converts an iterator of entries into a Map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter =\n /// Iter.fromArray([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")]);\n ///\n /// let map = iter.toMap(Nat.compare);\n ///\n /// assert Iter.toArray(Map.entries(map)) == [(0, \"Zero\"), (1, \"One\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func toMap(self : Types.Iter<(K, V)>, compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(self, compare)\n };\n\n public func fromArray(array : [(K, V)], compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(array.values(), compare)\n };\n\n public func fromVarArray(array : [var (K, V)], compare : (implicit : (K, K) -> Order.Order)) : Map {\n fromIter(array.values(), compare)\n };\n\n /// Apply an operation on each key-value pair contained in the map.\n /// The operation is applied in ascending order of the keys.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// var sum = 0;\n /// var text = \"\";\n /// Map.forEach(map, func (key, value) {\n /// sum += key;\n /// text #= value;\n /// });\n /// assert sum == 3;\n /// assert text == \"ZeroOneTwo\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func forEach(self : Map, operation : (K, V) -> ()) {\n for (entry in entries(self)) {\n operation(entry)\n }\n };\n\n /// Filter entries in a new map.\n /// Create a copy of the mutable map that only contains the key-value pairs\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numberNames = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// let evenNames = Map.filter(numberNames, Nat.compare, func (key, value) {\n /// key % 2 == 0\n /// });\n ///\n /// assert Iter.toArray(Map.entries(evenNames)) == [(0, \"Zero\"), (2, \"Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Map, compare : (implicit : (K, K) -> Order.Order), criterion : (K, V) -> Bool) : Map {\n let result = empty();\n for ((key, value) in entries(self)) {\n if (criterion(key, value)) {\n add(result, compare, key, value)\n }\n };\n result\n };\n\n /// Project all values of the map in a new map.\n /// Apply a mapping function to the values of each entry in the map and\n /// collect the mapped entries in a new mutable key-value map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, _val : Text) : Nat = key * 2;\n ///\n /// let resMap = Map.map(map, f);\n ///\n /// assert Iter.toArray(Map.entries(resMap)) == [(0, 0), (1, 2), (2, 4)];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func map(self : Map, project : (K, V1) -> V2) : Map {\n {\n var root = mapNode(self.root, project);\n var size = self.size\n }\n };\n\n /// Iterate all entries in ascending order of the keys,\n /// and accumulate the entries by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(accum : (Nat, Text), key : Nat, val : Text) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldLeft(map, (0, \"\"), folder) == (3, \"ZeroOneTwo\");\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldLeft(\n self : Map,\n base : A,\n combine : (A, K, V) -> A\n ) : A {\n var accumulator = base;\n for ((key, value) in entries(self)) {\n accumulator := combine(accumulator, key, value)\n };\n accumulator\n };\n\n /// Iterate all entries in descending order of the keys,\n /// and accumulate the entries by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func folder(key : Nat, val : Text, accum : (Nat, Text)) : ((Nat, Text))\n /// = (key + accum.0, accum.1 # val);\n ///\n /// assert Map.foldRight(map, (0, \"\"), folder) == (3, \"TwoOneZero\");\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldRight(\n self : Map,\n base : A,\n combine : (K, V, A) -> A\n ) : A {\n var accumulator = base;\n for ((key, value) in reverseEntries(self)) {\n accumulator := combine(key, value, accumulator)\n };\n accumulator\n };\n\n /// Check whether all entries in the map fulfil a predicate function, i.e.\n /// the predicate function returns `true` for all entries in the map.\n /// Returns `true` for an empty map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.all(map, func (k, v) = v == Nat.toText(k));\n /// assert not Map.all(map, func (k, v) = k < 2);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func all(self : Map, predicate : (K, V) -> Bool) : Bool {\n //TODO: optimize\n for (entry in entries(self)) {\n if (not predicate(entry)) {\n return false\n }\n };\n true\n };\n\n /// Test if any key-value pair in `map` satisfies the given predicate `pred`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"0\"), (2, \"2\"), (1, \"1\")].values(), Nat.compare);\n ///\n /// assert Map.any(map, func (k, v) = (k >= 0));\n /// assert not Map.any(map, func (k, v) = (k >= 3));\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func any(self : Map, predicate : (K, V) -> Bool) : Bool {\n //TODO: optimize\n for (entry in entries(self)) {\n if (predicate(entry)) {\n return true\n }\n };\n false\n };\n\n /// Filter all entries in the map by also applying a projection to the value.\n /// Apply a mapping function `project` to all entries in the map and collect all\n /// entries, for which the function returns a non-null new value. Collect all\n /// non-discarded entries with the key and new value in a new mutable map.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n ///\n /// func f(key : Nat, val : Text) : ?Text {\n /// if(key == 0) {null}\n /// else { ?(\"Twenty \" # val)}\n /// };\n ///\n /// let newMap = Map.filterMap(map, Nat.compare, f);\n ///\n /// assert Iter.toArray(Map.entries(newMap)) == [(1, \"Twenty One\"), (2, \"Twenty Two\")];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Map, compare : (implicit : (K, K) -> Order.Order), project : (K, V1) -> ?V2) : Map {\n let result = empty();\n for ((key, value1) in entries(self)) {\n switch (project(key, value1)) {\n case null {};\n case (?value2) add(result, compare, key, value2)\n }\n };\n result\n };\n\n /// Internal sanity check function.\n /// Can be used to check that key/value pairs have been inserted with a consistent key comparison function.\n /// Traps if the internal map structure is invalid.\n /// @deprecated M0235\n public func assertValid(self : Map, compare : (implicit : (K, K) -> Order.Order)) {\n func checkIteration(iterator : Types.Iter<(K, V)>, order : Order.Order) {\n switch (iterator.next()) {\n case null {};\n case (?first) {\n var previous = first;\n loop {\n switch (iterator.next()) {\n case null return;\n case (?next) {\n if (compare(previous.0, next.0) != order) {\n Runtime.trap(\"Invalid order\")\n };\n previous := next\n }\n }\n }\n }\n }\n };\n checkIteration(entries(self), #less);\n checkIteration(reverseEntries(self), #greater)\n };\n\n /// Generate a textual representation of all the entries in the map.\n /// Primarily to be used for testing and debugging.\n /// The keys and values are formatted according to `keyFormat` and `valueFormat`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let map = Map.fromIter([(0, \"Zero\"), (2, \"Two\"), (1, \"One\")].values(), Nat.compare);\n /// assert Map.toText(map, Nat.toText, func t { t }) == \"Map{(0, Zero), (1, One), (2, Two)}\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that `keyFormat` and `valueFormat` have runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func toText(self : Map, keyFormat : (implicit : (toText : K -> Text)), valueFormat : (implicit : (toText : V -> Text))) : Text {\n var text = \"Map{\";\n var sep = \"\";\n for ((key, value) in entries(self)) {\n text #= sep # \"(\" # keyFormat(key) # \", \" # valueFormat(value) # \")\";\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Compare two maps by primarily comparing keys and secondarily values.\n /// Both maps must have been created by the same key comparison function.\n /// The two maps are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `map1` is less than `map2` if:\n /// * the pairwise iteration hits a entry pair `entry1` and `entry2` where\n /// `entry1` is less than `entry2` and all preceding entry pairs are equal, or,\n /// * `map1` is a strict prefix of `map2`, i.e. `map2` has more entries than `map1`\n /// and all entries of `map1` occur at the beginning of iteration `map2`.\n /// `entry1` is less than `entry2` if:\n /// * the key of `entry1` is less than the key of `entry2`, or\n /// * `entry1` and `entry2` have equal keys and the value of `entry1` is less than\n /// the value of `entry2`.\n /// Equal:\n /// `map1` and `map2` have same series of equal entries by pairwise iteration.\n /// Greater:\n /// `map1` is neither less nor equal `map2`.\n ///\n /// Example:\n /// ```motoko\n /// import Map \"mo:core/Map\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let map1 = Map.fromIter([(0, \"Zero\"), (1, \"One\")].values(), Nat.compare);\n /// let map2 = Map.fromIter([(0, \"Zero\"), (2, \"Two\")].values(), Nat.compare);\n ///\n /// assert Map.compare(map1, map2, Nat.compare, Text.compare) == #less;\n /// assert Map.compare(map1, map1, Nat.compare, Text.compare) == #equal;\n /// assert Map.compare(map2, map1, Nat.compare, Text.compare) == #greater\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map and\n /// assuming that `compareKey` and `compareValue` have runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Map, other : Map, compareKey : (implicit : (compare : (K, K) -> Order.Order)), compareValue : (implicit : (compare : (V, V) -> Order.Order))) : Order.Order {\n let iterator1 = entries(self);\n let iterator2 = entries(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?(key1, value1), ?(key2, value2)) {\n let keyComparison = compareKey(key1, key2);\n if (keyComparison != #equal) {\n return keyComparison\n };\n let valueComparison = compareValue(value1, value2);\n if (valueComparison != #equal) {\n return valueComparison\n }\n }\n }\n }\n };\n\n func leafEntries({ data } : Leaf) : Types.Iter<(K, V)> {\n var i : Nat = 0;\n object {\n public func next() : ?(K, V) {\n if (i >= data.count) {\n null\n } else {\n let res = data.kvs[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func leafEntriesFrom({ data } : Leaf, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n var i = switch (BinarySearch.binarySearchNode(data.kvs, compare, key, data.count)) {\n case (#keyFound(i)) i;\n case (#notFound(i)) i\n };\n object {\n public func next() : ?(K, V) {\n if (i >= data.count) {\n null\n } else {\n let res = data.kvs[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func reverseLeafEntries({ data } : Leaf) : Types.Iter<(K, V)> {\n var i : Nat = data.count;\n object {\n public func next() : ?(K, V) {\n if (i == 0) {\n null\n } else {\n let res = data.kvs[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n func reverseLeafEntriesFrom({ data } : Leaf, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n var i = switch (BinarySearch.binarySearchNode(data.kvs, compare, key, data.count)) {\n case (#keyFound(i)) i + 1; // +1 to include this key\n case (#notFound(i)) i // i is the index of the first key greater than the search key, or count if all keys are less than the search key\n };\n object {\n public func next() : ?(K, V) {\n if (i == 0) {\n null\n } else {\n let res = data.kvs[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n // Cursor type that keeps track of the current node and the current key-value index in the node\n type NodeCursor = { node : Node; kvIndex : Nat };\n\n func internalEntries(internal : Internal) : Types.Iter<(K, V)> {\n // The nodeCursorStack keeps track of the current node and the current key-value index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeForwardNodeCursorStack(internal);\n internalEntriesFromStack(nodeCursorStack)\n };\n\n func internalEntriesFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n let nodeCursorStack = initializeForwardNodeCursorStackFrom(internal, compare, key);\n internalEntriesFromStack(nodeCursorStack)\n };\n\n func internalEntriesFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter<(K, V)> {\n object {\n public func next() : ?(K, V) {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; kvIndex }) {\n switch (node) {\n // if a leaf node, iterate through the leaf node's next key-value pair\n case (#leaf(leafNode)) {\n let lastKV = leafNode.data.count - 1 : Nat;\n if (kvIndex > lastKV) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), leaf kvIndex out of bounds\")\n };\n\n let currentKV = switch (leafNode.data.kvs[kvIndex]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), null key-value pair found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n // if not at the last key-value pair, push the next key-value index of the leaf onto the stack and return the current key-value pair\n if (kvIndex < lastKV) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n kvIndex = kvIndex + 1 : Nat\n }\n )\n };\n\n // return the current key-value pair\n ?currentKV\n };\n // if an internal node\n case (#internal(internalNode)) {\n let lastKV = internalNode.data.count - 1 : Nat;\n // Developer facing message in case of a bug\n if (kvIndex > lastKV) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), internal kvIndex out of bounds\")\n };\n\n let currentKV = switch (internalNode.data.kvs[kvIndex]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.internalEntries(), null key-value pair found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n\n let nextCursor = {\n node = #internal(internalNode);\n kvIndex = kvIndex + 1 : Nat\n };\n // if not the last key-value pair, push the next key-value index of the internal node onto the stack\n if (kvIndex < lastKV) {\n Stack.push(nodeCursorStack, nextCursor)\n };\n // traverse the next child's min subtree and push the resulting node cursors onto the stack\n // then return the current key-value pair of the internal node\n traverseMinSubtreeIter(nodeCursorStack, nextCursor);\n ?currentKV\n }\n }\n }\n }\n }\n }\n };\n\n func reverseInternalEntries(internal : Internal) : Types.Iter<(K, V)> {\n // The nodeCursorStack keeps track of the current node and the current key-value index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeReverseNodeCursorStack(internal);\n reverseInternalEntriesFromStack(nodeCursorStack)\n };\n\n func reverseInternalEntriesFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Types.Iter<(K, V)> {\n let nodeCursorStack = initializeReverseNodeCursorStackFrom(internal, compare, key);\n reverseInternalEntriesFromStack(nodeCursorStack)\n };\n\n func reverseInternalEntriesFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter<(K, V)> {\n object {\n public func next() : ?(K, V) {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; kvIndex }) {\n let firstKV = 0 : Nat;\n assert (kvIndex > firstKV);\n switch (node) {\n // if a leaf node, reverse iterate through the leaf node's next key-value pair\n case (#leaf(leafNode)) {\n let currentKV = switch (leafNode.data.kvs[kvIndex - 1]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.reverseInternalEntries(), null key-value pair found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n // if not at the last key-value pair, push the previous key-value index of the leaf onto the stack and return the current key-value pair\n if (kvIndex - 1 : Nat > firstKV) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n kvIndex = kvIndex - 1 : Nat\n }\n )\n };\n\n // return the current key-value pair\n ?currentKV\n };\n // if an internal node\n case (#internal(internalNode)) {\n let currentKV = switch (internalNode.data.kvs[kvIndex - 1]) {\n case (?kv) { kv };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Map.reverseInternalEntries(), null key-value pair found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", kvIndex=\" # debug_show (kvIndex)\n )\n }\n };\n\n let previousCursor = {\n node = #internal(internalNode);\n kvIndex = kvIndex - 1 : Nat\n };\n // if not the first key-value pair, push the previous key-value index of the internal node onto the stack\n if (kvIndex - 1 : Nat > firstKV) {\n Stack.push(nodeCursorStack, previousCursor)\n };\n // traverse the previous child's max subtree and push the resulting node cursors onto the stack\n // then return the current key-value pair of the internal node\n traverseMaxSubtreeIter(nodeCursorStack, previousCursor);\n ?currentKV\n }\n }\n }\n }\n }\n }\n };\n\n func initializeForwardNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = 0\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMinSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeForwardNodeCursorStackFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = 0\n };\n\n traverseMinSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, key);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = internal.data.count\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMaxSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStackFrom(internal : Internal, compare : (K, K) -> Order.Order, key : K) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n kvIndex = internal.data.count\n };\n\n traverseMaxSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, key);\n nodeCursorStack\n };\n\n // traverse the min subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMinSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.kvIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the minimum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's left most child to the stack and continue traversing\n case (#internal(internalNode)) {\n switch (internalNode.children[childIndex]) {\n // Push the next min (left most) child node to the stack\n case (?childNode) {\n childIndex := 0;\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMinSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMinSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (K, K) -> Order.Order, key : K) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getKeyIndex(node.data, compare, key)) {\n case (#keyFound(i)) (i, true);\n case (#notFound(i)) (i, false)\n };\n if (i < node.data.count) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = i // greater entries to traverse\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMinSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // traverse the max subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMaxSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.kvIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the maximum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's right most child to the stack and continue traversing\n case (#internal(internalNode)) {\n assert (childIndex <= internalNode.data.count); // children are one more than data entries\n switch (internalNode.children[childIndex]) {\n // Push the next max (right most) child node to the stack\n case (?childNode) {\n childIndex := switch (childNode) {\n case (#internal(internalNode)) internalNode.data.count;\n case (#leaf(leafNode)) leafNode.data.count\n };\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMaxSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMaxSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (K, K) -> Order.Order, key : K) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getKeyIndex(node.data, compare, key)) {\n case (#keyFound(i)) (i + 1, true); // +1 to include this key\n case (#notFound(i)) (i, false) // i is the index of the first key less than the search key, or 0 if all keys are greater than the search key\n };\n if (i > 0) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n kvIndex = i\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.traverseMaxSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInternalDeleteResult = {\n // element was deleted or not found, returning the old value (?value or null)\n #delete : ?V;\n // deleted an element, but was unable to successfully borrow and rebalance at the previous level without merging children\n // the internalChild is the merged child that needs to be rebalanced at the next level up in the BTree\n #mergeChild : {\n internalChild : Internal;\n deletedValue : ?V\n }\n };\n\n func internalDeleteHelper(internalNode : Internal, order : Nat, compare : (K, K) -> Order.Order, deleteKey : K, skipNode : Bool) : IntermediateInternalDeleteResult {\n let minKeys = NodeUtil.minKeysFromOrder(order);\n let keyIndex = NodeUtil.getKeyIndex(internalNode.data, compare, deleteKey);\n\n // match on both the result of the node binary search, and if this node level should be skipped even if the key is found (internal kv replacement case)\n switch (keyIndex, skipNode) {\n // if key is found in the internal node\n case (#keyFound(deleteIndex), false) {\n let deletedValue = switch (internalNode.data.kvs[deleteIndex]) {\n case (?kv) { ?kv.1 };\n case null { assert false; null }\n };\n // TODO: (optimization) replace with deletion in one step without having to retrieve the maxKey first\n let replaceKV = NodeUtil.getMaxKeyValue(internalNode.children[deleteIndex]);\n internalNode.data.kvs[deleteIndex] := ?replaceKV;\n switch (internalDeleteHelper(internalNode, order, compare, replaceKV.0, true)) {\n case (#delete(_)) { #delete(deletedValue) };\n case (#mergeChild({ internalChild })) {\n #mergeChild({ internalChild; deletedValue })\n }\n }\n };\n // if key is not found in the internal node OR the key is found, but skipping this node (because deleting the in order precessor i.e. replacement kv)\n // in both cases need to descend and traverse to find the kv to delete\n case ((#keyFound(_), true) or (#notFound(_), _)) {\n let childIndex = switch (keyIndex) {\n case (#keyFound(replacedSkipKeyIndex)) { replacedSkipKeyIndex };\n case (#notFound(childIndex)) { childIndex }\n };\n let child = switch (internalNode.children[childIndex]) {\n case (?c) { c };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalDeleteHelper, child index of #keyFound or #notfound is null\")\n }\n };\n switch (child) {\n // if child is internal\n case (#internal(internalChild)) {\n switch (internalDeleteHelper(internalChild, order, compare, deleteKey, false), childIndex == 0) {\n // if value was successfully deleted and no additional tree re-balancing is needed, return the deleted value\n case (#delete(v), _) { #delete(v) };\n // if internalChild needs rebalancing and pulling child is left most\n case (#mergeChild({ internalChild; deletedValue }), true) {\n // try to pull left-most key and child from right sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex + 1, #successor)) {\n // if can pull up sibling kv and child\n case (#borrowed({ deletedSiblingKVPair; child })) {\n NodeUtil.rotateBorrowedKVsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingKVPair,\n child,\n internalChild,\n #right\n );\n #delete(deletedValue)\n };\n // unable to pull from sibling, need to merge with right sibling and push down parent\n case (#notEnoughKeys(sibling)) {\n // get the parent kv that will be pushed down the the child\n let kvPairToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.kvs, 0);\n internalNode.data.count -= 1;\n // merge the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(internalChild, kvPairToBePushedToChild, sibling);\n // update children of the parent\n internalNode.children[0] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, 1);\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({ internalChild = internalNode; deletedValue })\n } else {\n #delete(deletedValue)\n }\n }\n }\n };\n // if internalChild needs rebalancing and pulling child is > 0, so a left sibling exists\n case (#mergeChild({ internalChild; deletedValue }), false) {\n // try to pull right-most key and its child directly from left sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex - 1 : Nat, #predecessor)) {\n case (#borrowed({ deletedSiblingKVPair; child })) {\n NodeUtil.rotateBorrowedKVsAndChildFromSibling(\n internalNode,\n childIndex - 1 : Nat,\n deletedSiblingKVPair,\n child,\n internalChild,\n #left\n );\n #delete(deletedValue)\n };\n // unable to pull from left sibling\n case (#notEnoughKeys(leftSibling)) {\n // if child is not last index, try to pull from the right child\n if (childIndex < internalNode.data.count) {\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex, #successor)) {\n // if can pull up sibling kv and child\n case (#borrowed({ deletedSiblingKVPair; child })) {\n NodeUtil.rotateBorrowedKVsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingKVPair,\n child,\n internalChild,\n #right\n );\n return #delete(deletedValue)\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // get the parent kv that will be pushed down the the child\n let kvPairToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.kvs, childIndex - 1 : Nat);\n internalNode.data.count -= 1;\n // merge it the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(leftSibling, kvPairToBePushedToChild, internalChild);\n\n // update children of the parent\n internalNode.children[childIndex - 1] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, childIndex);\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({ internalChild = internalNode; deletedValue })\n } else {\n #delete(deletedValue)\n }\n }\n }\n }\n }\n };\n // if child is leaf\n case (#leaf(leafChild)) {\n switch (leafDeleteHelper(leafChild, order, compare, deleteKey), childIndex == 0) {\n case (#delete(value), _) { #delete(value) };\n // if delete child is left most, try to borrow from right child\n case (#mergeLeafData({ leafDeleteIndex }), true) {\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedKVPair) {\n let kvPairToBePushedToChild = internalNode.data.kvs[childIndex];\n internalNode.data.kvs[childIndex] := ?borrowedKVPair;\n\n let deletedKV = BTreeHelper.insertAtPostionAndDeleteAtPosition<(K, V)>(leafChild.data.kvs, kvPairToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n #delete(?deletedKV.1)\n };\n\n case null {\n // can't borrow from right child, delete from leaf and merge with right child and parent kv, then push down into new leaf\n let rightChild = switch (internalNode.children[childIndex + 1]) {\n case (?#leaf(rc)) { rc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalDeleteHelper, if trying to borrow from right leaf child is null, rightChild index cannot be null or internal\")\n }\n };\n let (mergedLeaf, deletedKV) = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.kvs[childIndex],\n leafChild,\n rightChild,\n leafDeleteIndex,\n #left\n );\n // delete the left most internal node kv, since was merging from a deletion in left most child (0) and the parent kv was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift<(K, V)>(internalNode.data.kvs, 0);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), 0);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({\n internalChild = internalNode;\n deletedValue = ?deletedKV.1\n })\n } else {\n #delete(?deletedKV.1)\n }\n\n }\n }\n };\n // if delete child is middle or right most, try to borrow from left child\n case (#mergeLeafData({ leafDeleteIndex }), false) {\n // if delete child is right most, try to borrow from left child\n switch (NodeUtil.borrowFromLeftLeafChild(internalNode.children, childIndex)) {\n case (?borrowedKVPair) {\n let kvPairToBePushedToChild = internalNode.data.kvs[childIndex - 1];\n internalNode.data.kvs[childIndex - 1] := ?borrowedKVPair;\n let kvDelete = BTreeHelper.insertAtPostionAndDeleteAtPosition<(K, V)>(leafChild.data.kvs, kvPairToBePushedToChild, 0, leafDeleteIndex);\n #delete(?kvDelete.1)\n };\n case null {\n // if delete child is in the middle, try to borrow from right child\n if (childIndex < internalNode.data.count) {\n // try to borrow from right\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedKVPair) {\n let kvPairToBePushedToChild = internalNode.data.kvs[childIndex];\n internalNode.data.kvs[childIndex] := ?borrowedKVPair;\n // insert the successor at the very last element\n let kvDelete = BTreeHelper.insertAtPostionAndDeleteAtPosition<(K, V)>(leafChild.data.kvs, kvPairToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n return #delete(?kvDelete.1)\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // can't borrow from left child, delete from leaf and merge with left child and parent kv, then push down into new leaf\n let leftChild = switch (internalNode.children[childIndex - 1]) {\n case (?#leaf(lc)) { lc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.internalDeleteHelper, if trying to borrow from left leaf child is null, then left child index must not be null or internal\")\n }\n };\n let (mergedLeaf, deletedKV) = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.kvs[childIndex - 1],\n leftChild,\n leafChild,\n leafDeleteIndex,\n #right\n );\n // delete the right most internal node kv, since was merging from a deletion in the right most child and the parent kv was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift<(K, V)>(internalNode.data.kvs, childIndex - 1);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), childIndex - 1);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minKeys) {\n #mergeChild({\n internalChild = internalNode;\n deletedValue = ?deletedKV.1\n })\n } else {\n #delete(?deletedKV.1)\n }\n }\n }\n }\n }\n }\n }\n }\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateLeafDeleteResult = {\n // element was deleted or not found, returning the old value (?value or null)\n #delete : ?V;\n // leaf had the minimum number of keys when deleting, so returns the leaf node's data and the index of the key that will be deleted\n #mergeLeafData : {\n data : Data;\n leafDeleteIndex : Nat\n }\n };\n\n func leafDeleteHelper(leafNode : Leaf, order : Nat, compare : (K, K) -> Order.Order, deleteKey : K) : IntermediateLeafDeleteResult {\n let minKeys = NodeUtil.minKeysFromOrder(order);\n\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, deleteKey)) {\n case (#keyFound(deleteIndex)) {\n if (leafNode.data.count > minKeys) {\n leafNode.data.count -= 1;\n #delete(?BTreeHelper.deleteAndShift<(K, V)>(leafNode.data.kvs, deleteIndex).1)\n } else {\n #mergeLeafData({\n data = leafNode.data;\n leafDeleteIndex = deleteIndex\n })\n }\n };\n case (#notFound(_)) {\n #delete(null)\n }\n }\n };\n\n // get helper if internal node\n func getFromInternal(internalNode : Internal, compare : (K, K) -> Order.Order, key : K) : ?V {\n switch (NodeUtil.getKeyIndex(internalNode.data, compare, key)) {\n case (#keyFound(index)) {\n getExistingValueFromIndex(internalNode.data, index)\n };\n case (#notFound(index)) {\n switch (internalNode.children[index]) {\n // expects the child to be there, otherwise there's a bug in binary search or the tree is invalid\n case null { Runtime.trap(\"Internal bug: Map.getFromInternal\") };\n case (?#leaf(leafNode)) { getFromLeaf(leafNode, compare, key) };\n case (?#internal(internalNode)) {\n getFromInternal(internalNode, compare, key)\n }\n }\n }\n }\n };\n\n // get function helper if leaf node\n func getFromLeaf(leafNode : Leaf, compare : (K, K) -> Order.Order, key : K) : ?V {\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, key)) {\n case (#keyFound(index)) {\n getExistingValueFromIndex(leafNode.data, index)\n };\n case _ null\n }\n };\n\n // get function helper that retrieves an existing value in the case that the key is found\n func getExistingValueFromIndex(data : Data, index : Nat) : ?V {\n switch (data.kvs[index]) {\n case null { null };\n case (?ov) { ?ov.1 }\n }\n };\n\n // which child the deletionIndex is referring to\n type DeletionSide = { #left; #right };\n\n func mergeParentWithLeftRightChildLeafNodesAndDelete(\n parentKV : ?(K, V),\n leftChild : Leaf,\n rightChild : Leaf,\n deleteIndex : Nat,\n deletionSide : DeletionSide\n ) : (Leaf, (K, V)) {\n let count = leftChild.data.count * 2;\n let (kvs, deletedKV) = BTreeHelper.mergeParentWithChildrenAndDelete<(K, V)>(\n parentKV,\n leftChild.data.count,\n leftChild.data.kvs,\n rightChild.data.kvs,\n deleteIndex,\n deletionSide\n );\n (\n {\n data = {\n kvs;\n var count = count\n }\n },\n deletedKV\n )\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInsertResult = {\n // element was inserted or replaced, returning the old value (?value or null)\n #insert : ?V;\n // child was full when inserting, so returns the promoted kv pair and the split left and right child\n #promote : {\n kv : (K, V);\n leftChild : Node;\n rightChild : Node\n }\n };\n\n // Helper for inserting into a leaf node\n func leafInsertHelper(leafNode : Leaf, order : Nat, compare : (K, K) -> Order.Order, key : K, value : V) : (IntermediateInsertResult) {\n // Perform binary search to see if the element exists in the node\n switch (NodeUtil.getKeyIndex(leafNode.data, compare, key)) {\n case (#keyFound(insertIndex)) {\n let previous = leafNode.data.kvs[insertIndex];\n leafNode.data.kvs[insertIndex] := ?(key, value);\n switch (previous) {\n case (?ov) { #insert(?ov.1) };\n case null { assert false; #insert(null) }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxKeys : Nat = order - 1;\n // If the leaf is full, insert, split the node, and promote the middle element\n if (leafNode.data.count >= maxKeys) {\n let (leftKVs, promotedParentElement, rightKVs) = BTreeHelper.insertOneAtIndexAndSplitArray(\n leafNode.data.kvs,\n (key, value),\n insertIndex\n );\n\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n (\n #promote({\n kv = promotedParentElement;\n leftChild = createLeaf(leftKVs, leftCount);\n rightChild = createLeaf(rightKVs, rightCount)\n })\n )\n }\n // Otherwise, insert at the specified index (shifting elements over if necessary)\n else {\n NodeUtil.insertAtIndexOfNonFullNodeData(leafNode.data, ?(key, value), insertIndex);\n #insert(null)\n }\n }\n }\n };\n\n // Helper for inserting into an internal node\n func internalInsertHelper(internalNode : Internal, order : Nat, compare : (K, K) -> Order.Order, key : K, value : V) : IntermediateInsertResult {\n switch (NodeUtil.getKeyIndex(internalNode.data, compare, key)) {\n case (#keyFound(insertIndex)) {\n let previous = internalNode.data.kvs[insertIndex];\n internalNode.data.kvs[insertIndex] := ?(key, value);\n switch (previous) {\n case (?ov) { #insert(?ov.1) };\n case null { assert false; #insert(null) }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n let insertResult = switch (internalNode.children[insertIndex]) {\n case null { assert false; #insert(null) };\n case (?#leaf(leafNode)) {\n leafInsertHelper(leafNode, order, compare, key, value)\n };\n case (?#internal(internalChildNode)) {\n internalInsertHelper(internalChildNode, order, compare, key, value)\n }\n };\n\n switch (insertResult) {\n case (#insert(ov)) { #insert(ov) };\n case (#promote({ kv; leftChild; rightChild })) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxKeys : Nat = order - 1;\n // if current internal node is full, need to split the internal node\n if (internalNode.data.count >= maxKeys) {\n // insert and split internal kvs, determine new promotion target kv\n let (leftKVs, promotedParentElement, rightKVs) = BTreeHelper.insertOneAtIndexAndSplitArray(\n internalNode.data.kvs,\n (kv),\n insertIndex\n );\n\n // calculate the element count in the left KVs and the element count in the right KVs\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n // split internal children\n let (leftChildren, rightChildren) = NodeUtil.splitChildrenInTwoWithRebalances(\n internalNode.children,\n insertIndex,\n leftChild,\n rightChild\n );\n\n // send the kv to be promoted, as well as the internal children left and right split\n #promote({\n kv = promotedParentElement;\n leftChild = #internal({\n data = { kvs = leftKVs; var count = leftCount };\n children = leftChildren\n });\n rightChild = #internal({\n data = { kvs = rightKVs; var count = rightCount };\n children = rightChildren\n })\n })\n } else {\n // insert the new kvs into the internal node\n NodeUtil.insertAtIndexOfNonFullNodeData(internalNode.data, ?kv, insertIndex);\n // split and re-insert the single child that needs rebalancing\n NodeUtil.insertRebalancedChild(internalNode.children, insertIndex, leftChild, rightChild);\n #insert(null)\n }\n }\n }\n }\n }\n };\n\n func createLeaf(kvs : [var ?(K, V)], count : Nat) : Node {\n #leaf({\n data = {\n kvs;\n var count\n }\n })\n };\n\n // Additional functionality compared to original source.\n\n func mapData(data : Data, project : (K, V1) -> V2) : Data {\n {\n kvs = VarArray.map(\n data.kvs,\n func entry {\n switch entry {\n case (?kv) ?(kv.0, project kv);\n case null null\n }\n }\n );\n var count = data.count\n }\n };\n\n func mapNode(node : Node, project : (K, V1) -> V2) : Node {\n switch node {\n case (#leaf { data }) {\n #leaf { data = mapData(data, project) }\n };\n case (#internal { data; children }) {\n let mappedData = mapData(data, project);\n let mappedChildren = VarArray.map, ?Node>(\n children,\n func child {\n switch child {\n case null null;\n case (?childNode) ?mapNode(childNode, project)\n }\n }\n );\n # internal({\n data = mappedData;\n children = mappedChildren\n })\n }\n }\n };\n\n func cloneNode(node : Node) : Node = mapNode(node, func(k, v) = v);\n\n module BinarySearch {\n public type SearchResult = {\n #keyFound : Nat;\n #notFound : Nat\n };\n\n /// Searches an array for a specific key, returning the index it occurs at if #keyFound, or the child/insert index it may occur at\n /// if #notFound. This is used when determining if a key exists in an internal or leaf node, where a key should be inserted in a\n /// leaf node, or which child of an internal node a key could be in.\n ///\n /// Note: This function expects a mutable, nullable, array of keys in sorted order, where all nulls appear at the end of the array.\n /// This function may trap if a null value appears before any values. It also expects a maxIndex, which is the right-most index (bound)\n /// from which to begin the binary search (the left most bound is expected to be 0)\n ///\n /// Parameters:\n ///\n /// * array - the sorted array that the binary search is performed upon\n /// * compare - the comparator used to perform the search\n /// * searchKey - the key being compared against in the search\n /// * maxIndex - the right-most index (bound) from which to begin the search\n public func binarySearchNode(array : [var ?(K, V)], compare : (implicit : (K, K) -> Order.Order), searchKey : K, maxIndex : Nat) : SearchResult {\n // TODO: get rid of this check?\n // Trap if array is size 0 (should not happen)\n if (array.size() == 0) {\n assert false\n };\n\n // if all elements in the array are null (i.e. first element is null), return #notFound(0)\n if (maxIndex == 0) {\n return #notFound(0)\n };\n\n // Initialize search from first to last index\n var left : Nat = 0;\n var right = maxIndex; // maxIndex does not necessarily mean array.size() - 1\n // Search the array\n while (left < right) {\n let middle = (left + right) / 2;\n switch (array[middle]) {\n case null { assert false };\n case (?(key, _)) {\n switch (compare(searchKey, key)) {\n // If the element is present at the middle itself\n case (#equal) { return #keyFound(middle) };\n // If element is greater than mid, it can only be present in left subarray\n case (#greater) { left := middle + 1 };\n // If element is smaller than mid, it can only be present in right subarray\n case (#less) {\n right := if (middle == 0) { 0 } else { middle - 1 }\n }\n }\n }\n }\n };\n\n if (left == array.size()) {\n return #notFound(left)\n };\n\n // left == right\n switch (array[left]) {\n // inserting at end of array\n case null { #notFound(left) };\n case (?(key, _)) {\n switch (compare(searchKey, key)) {\n // if left is the key\n case (#equal) { #keyFound(left) };\n // if the key is not found, return notFound and the insert location\n case (#greater) { #notFound(left + 1) };\n case (#less) { #notFound(left) }\n }\n }\n }\n }\n };\n\n module NodeUtil {\n /// Inserts element at the given index into a non-full leaf node\n public func insertAtIndexOfNonFullNodeData(data : Data, kvPair : ?(K, V), insertIndex : Nat) {\n let currentLastElementIndex : Nat = if (data.count == 0) { 0 } else {\n data.count - 1\n };\n BTreeHelper.insertAtPosition<(K, V)>(data.kvs, kvPair, insertIndex, currentLastElementIndex);\n\n // increment the count of data in this node since just inserted an element\n data.count += 1\n };\n\n /// Inserts two rebalanced (split) child halves into a non-full array of children.\n public func insertRebalancedChild(children : [var ?Node], rebalancedChildIndex : Nat, leftChildInsert : Node, rightChildInsert : Node) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n var j : Nat = children.size() - 2;\n\n // This is just a sanity check to ensure the children aren't already full (should split promote otherwise)\n // TODO: Remove this check once confident\n if (Option.isSome(children[j + 1])) { assert false };\n\n // Iterate backwards over the array and shift each element over to the right by one until the rebalancedChildIndex is hit\n while (j > rebalancedChildIndex) {\n children[j + 1] := children[j];\n j -= 1\n };\n\n // Insert both the left and right rebalanced children (replacing the pre-split child)\n children[j] := ?leftChildInsert;\n children[j + 1] := ?rightChildInsert\n };\n\n /// Used when splitting the children of an internal node\n ///\n /// Takes in the rebalanced child index, as well as both halves of the rebalanced child and splits the children, inserting the left and right child halves appropriately\n ///\n /// For more context, see the documentation for the splitArrayAndInsertTwo method in BTreeHelper.mo\n public func splitChildrenInTwoWithRebalances(\n children : [var ?Node],\n rebalancedChildIndex : Nat,\n leftChildInsert : Node,\n rightChildInsert : Node\n ) : ([var ?Node], [var ?Node]) {\n BTreeHelper.splitArrayAndInsertTwo>(children, rebalancedChildIndex, leftChildInsert, rightChildInsert)\n };\n\n /// Helper used to get the key index of of a key within a node\n ///\n /// for more, see the BinarySearch.binarySearchNode() documentation\n public func getKeyIndex(data : Data, compare : (K, K) -> Order.Order, key : K) : BinarySearch.SearchResult {\n BinarySearch.binarySearchNode(data.kvs, compare, key, data.count)\n };\n\n // calculates a BTree Node's minimum allowed keys given the order of the BTree\n public func minKeysFromOrder(order : Nat) : Nat {\n if (order % 2 == 0) { order / 2 - 1 } else { order / 2 }\n };\n\n // Given a node, get the maximum key value (right most leaf kv)\n public func getMaxKeyValue(node : ?Node) : (K, V) {\n switch (node) {\n case (?#leaf({ data })) {\n switch (data.kvs[data.count - 1]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.getMaxKeyValue, data cannot have more elements than it's count\")\n };\n case (?kv) { kv }\n }\n };\n case (?#internal({ data; children })) {\n getMaxKeyValue(children[data.count])\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.getMaxKeyValue, the node provided cannot be null\")\n }\n }\n };\n\n type InorderBorrowType = {\n #predecessor;\n #successor\n };\n\n // attempts to retrieve the in max key of the child leaf node directly to the left if the node will allow it\n // returns the deleted max key if able to retrieve, null if not able\n //\n // mutates the predecessing node's keys\n public func borrowFromLeftLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?(K, V) {\n let predecessorIndex : Nat = ofChildIndex - 1;\n borrowFromLeafChild(children, predecessorIndex, #predecessor)\n };\n\n // attempts to retrieve the in max key of the child leaf node directly to the right if the node will allow it\n // returns the deleted max key if able to retrieve, null if not able\n //\n // mutates the predecessing node's keys\n public func borrowFromRightLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?(K, V) {\n borrowFromLeafChild(children, ofChildIndex + 1, #successor)\n };\n\n func borrowFromLeafChild(children : [var ?Node], borrowChildIndex : Nat, childSide : InorderBorrowType) : ?(K, V) {\n let minKeys = minKeysFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#leaf({ data })) {\n if (data.count > minKeys) {\n // able to borrow a key-value from this child, so decrement the count of kvs\n data.count -= 1; // Since enforce order >= 4, there will always be at least 1 element per node\n switch (childSide) {\n case (#predecessor) {\n let deletedKV = data.kvs[data.count];\n data.kvs[data.count] := null;\n deletedKV\n };\n case (#successor) {\n ?BTreeHelper.deleteAndShift(data.kvs, 0)\n }\n }\n } else { null }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.borrowFromLeafChild, the node at the borrow child index cannot be null or internal\")\n }\n }\n };\n\n type InternalBorrowResult = {\n #borrowed : InternalBorrow;\n #notEnoughKeys : Internal\n };\n\n type InternalBorrow = {\n deletedSiblingKVPair : ?(K, V);\n child : ?Node\n };\n\n // Attempts to borrow a KV and child from an internal sibling node\n public func borrowFromInternalSibling(children : [var ?Node], borrowChildIndex : Nat, borrowType : InorderBorrowType) : InternalBorrowResult {\n let minKeys = minKeysFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#internal({ data; children })) {\n if (data.count > minKeys) {\n data.count -= 1;\n switch (borrowType) {\n case (#predecessor) {\n let deletedSiblingKVPair = data.kvs[data.count];\n data.kvs[data.count] := null;\n let child = children[data.count + 1];\n children[data.count + 1] := null;\n #borrowed({\n deletedSiblingKVPair;\n child\n })\n };\n case (#successor) {\n #borrowed({\n deletedSiblingKVPair = ?BTreeHelper.deleteAndShift(data.kvs, 0);\n child = ?BTreeHelper.deleteAndShift(children, 0)\n })\n }\n }\n } else { #notEnoughKeys({ data; children }) }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Map.NodeUtil.borrowFromInternalSibling from internal sibling, the child at the borrow index cannot be null or a leaf\")\n }\n }\n };\n\n type SiblingSide = { #left; #right };\n\n // Rotates the borrowed KV and child from sibling side of the internal node to the internal child recipient\n public func rotateBorrowedKVsAndChildFromSibling(\n internalNode : Internal,\n parentRotateIndex : Nat,\n borrowedSiblingKVPair : ?(K, V),\n borrowedSiblingChild : ?Node,\n internalChildRecipient : Internal,\n siblingSide : SiblingSide\n ) {\n // if borrowing from the left, the rotated key and child will always be inserted first\n // if borrowing from the right, the rotated key and child will always be inserted last\n let (kvIndex, childIndex) = switch (siblingSide) {\n case (#left) { (0, 0) };\n case (#right) {\n (internalChildRecipient.data.count, internalChildRecipient.data.count + 1)\n }\n };\n\n // get the parent kv that will be pushed down the the child\n let kvPairToBePushedToChild = internalNode.data.kvs[parentRotateIndex];\n // replace the parent with the sibling kv\n internalNode.data.kvs[parentRotateIndex] := borrowedSiblingKVPair;\n // push the kv and child down into the internalChild\n insertAtIndexOfNonFullNodeData(internalChildRecipient.data, kvPairToBePushedToChild, kvIndex);\n\n BTreeHelper.insertAtPosition>(internalChildRecipient.children, borrowedSiblingChild, childIndex, internalChildRecipient.data.count)\n };\n\n // Merges the kvs and children of two internal nodes, pushing the parent kv in between the right and left halves\n public func mergeChildrenAndPushDownParent(leftChild : Internal, parentKV : ?(K, V), rightChild : Internal) : Internal {\n {\n data = mergeData(leftChild.data, parentKV, rightChild.data);\n children = mergeChildren(leftChild.children, rightChild.children)\n }\n };\n\n func mergeData(leftData : Data, parentKV : ?(K, V), rightData : Data) : Data {\n assert leftData.count <= minKeysFromOrder(leftData.kvs.size() + 1);\n assert rightData.count <= minKeysFromOrder(rightData.kvs.size() + 1);\n\n let mergedKVs = VarArray.repeat(null, leftData.kvs.size());\n var i = 0;\n while (i < leftData.count) {\n mergedKVs[i] := leftData.kvs[i];\n i += 1\n };\n\n mergedKVs[i] := parentKV;\n i += 1;\n\n var j = 0;\n while (j < rightData.count) {\n mergedKVs[i] := rightData.kvs[j];\n i += 1;\n j += 1\n };\n\n {\n kvs = mergedKVs;\n var count = leftData.count + 1 + rightData.count\n }\n };\n\n func mergeChildren(leftChildren : [var ?Node], rightChildren : [var ?Node]) : [var ?Node] {\n let mergedChildren = VarArray.repeat>(null, leftChildren.size());\n var i = 0;\n\n while (Option.isSome(leftChildren[i])) {\n mergedChildren[i] := leftChildren[i];\n i += 1\n };\n\n var j = 0;\n while (Option.isSome(rightChildren[j])) {\n mergedChildren[i] := rightChildren[j];\n i += 1;\n j += 1\n };\n\n mergedChildren\n }\n }\n}\n"},"Tuples.mo":{"content":"/// Contains modules for working with tuples of different sizes.\n///\n/// Usage example:\n///\n/// ```motoko\n/// import { Tuple2; Tuple3 } \"mo:core/Tuples\";\n/// import Bool \"mo:core/Bool\";\n/// import Nat \"mo:core/Nat\";\n///\n/// let swapped = Tuple2.swap((1, \"hello\"));\n/// assert swapped == (\"hello\", 1);\n/// let text = Tuple3.toText((1, true, 3), Nat.toText, Bool.toText, Nat.toText);\n/// assert text == \"(1, true, 3)\";\n/// ```\n\nimport Types \"Types\";\n\nmodule {\n\n public module Tuple2 {\n /// Swaps the elements of a tuple.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// assert Tuple2.swap((1, \"hello\")) == (\"hello\", 1);\n /// ```\n public func swap((a, b) : (A, B)) : (B, A) = (b, a);\n\n /// Creates a textual representation of a tuple for debugging purposes.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// assert Tuple2.toText((1, \"hello\"), Nat.toText, func (x: Text): Text = x) == \"(1, hello)\";\n /// ```\n public func toText(\n self : (A, B),\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text))\n ) : Text = \"(\" # toTextA(self.0) # \", \" # toTextB(self.1) # \")\";\n\n /// Compares two tuples for equality.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple2.equal((1, \"hello\"), (1, \"hello\"), Nat.equal, Text.equal);\n /// ```\n public func equal(\n self : (A, B),\n other : (A, B),\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool))\n ) : Bool = equalA(self.0, other.0) and equalB(self.1, other.1);\n\n /// Compares two tuples lexicographically.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple2.compare((1, \"hello\"), (1, \"world\"), Nat.compare, Text.compare) == #less;\n /// assert Tuple2.compare((1, \"hello\"), (2, \"hello\"), Nat.compare, Text.compare) == #less;\n /// assert Tuple2.compare((1, \"hello\"), (1, \"hello\"), Nat.compare, Text.compare) == #equal;\n /// assert Tuple2.compare((2, \"hello\"), (1, \"hello\"), Nat.compare, Text.compare) == #greater;\n /// assert Tuple2.compare((1, \"world\"), (1, \"hello\"), Nat.compare, Text.compare) == #greater;\n /// ```\n public func compare(\n self : (A, B),\n other : (A, B),\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order))\n ) : Types.Order = switch (compareA(self.0, other.0)) {\n case (#equal) compareB(self.1, other.1);\n case order order\n };\n\n /// Creates a `toText` function for a tuple given `toText` functions for its elements.\n /// This is useful when you need to reuse the same toText conversion multiple times.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let tupleToText = Tuple2.makeToText(Nat.toText, func x = x);\n /// assert tupleToText((1, \"hello\")) == \"(1, hello)\";\n /// ```\n public func makeToText(\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text))\n ) : ((A, B)) -> Text = func t = toText(t, toTextA, toTextB);\n\n /// Creates an `equal` function for a tuple given `equal` functions for its elements.\n /// This is useful when you need to reuse the same equality comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let tupleEqual = Tuple2.makeEqual(Nat.equal, Text.equal);\n /// assert tupleEqual((1, \"hello\"), (1, \"hello\"));\n /// ```\n public func makeEqual(\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool))\n ) : ((A, B), (A, B)) -> Bool = func(t1, t2) = equal(t1, t2, equalA, equalB);\n\n /// Creates a `compare` function for a tuple given `compare` functions for its elements.\n /// This is useful when you need to reuse the same comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple2 } \"mo:core/Tuples\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let tupleCompare = Tuple2.makeCompare(Nat.compare, Text.compare);\n /// assert tupleCompare((1, \"hello\"), (1, \"world\")) == #less;\n /// ```\n public func makeCompare(\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order))\n ) : ((A, B), (A, B)) -> Types.Order = func(t1, t2) = compare(t1, t2, compareA, compareB)\n };\n\n public module Tuple3 {\n /// Creates a textual representation of a 3-tuple for debugging purposes.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// assert Tuple3.toText((1, \"hello\", 2), Nat.toText, func (x: Text): Text = x, Nat.toText) == \"(1, hello, 2)\";\n /// ```\n public func toText(\n self : (A, B, C),\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text))\n ) : Text = \"(\" # toTextA(self.0) # \", \" # toTextB(self.1) # \", \" # toTextC(self.2) # \")\";\n\n /// Compares two 3-tuples for equality.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple3.equal((1, \"hello\", 2), (1, \"hello\", 2), Nat.equal, Text.equal, Nat.equal);\n /// ```\n public func equal(\n self : (A, B, C),\n other : (A, B, C),\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool))\n ) : Bool = equalA(self.0, other.0) and equalB(self.1, other.1) and equalC(self.2, other.2);\n\n /// Compares two 3-tuples lexicographically.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple3.compare((1, \"hello\", 2), (1, \"world\", 1), Nat.compare, Text.compare, Nat.compare) == #less;\n /// assert Tuple3.compare((1, \"hello\", 2), (2, \"hello\", 2), Nat.compare, Text.compare, Nat.compare) == #less;\n /// assert Tuple3.compare((1, \"hello\", 2), (1, \"hello\", 2), Nat.compare, Text.compare, Nat.compare) == #equal;\n /// assert Tuple3.compare((2, \"hello\", 2), (1, \"hello\", 2), Nat.compare, Text.compare, Nat.compare) == #greater;\n /// ```\n public func compare(\n self : (A, B, C),\n other : (A, B, C),\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order))\n ) : Types.Order = switch (compareA(self.0, other.0)) {\n case (#equal) {\n switch (compareB(self.1, other.1)) {\n case (#equal) compareC(self.2, other.2);\n case order order\n }\n };\n case order order\n };\n\n /// Creates a `toText` function for a 3-tuple given `toText` functions for its elements.\n /// This is useful when you need to reuse the same toText conversion multiple times.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// let toText = Tuple3.makeToText(Nat.toText, func x = x, Nat.toText);\n /// assert toText((1, \"hello\", 2)) == \"(1, hello, 2)\";\n /// ```\n public func makeToText(\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text))\n ) : ((A, B, C)) -> Text = func t = toText(t, toTextA, toTextB, toTextC);\n\n /// Creates an `equal` function for a 3-tuple given `equal` functions for its elements.\n /// This is useful when you need to reuse the same equality comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let equal = Tuple3.makeEqual(Nat.equal, Text.equal, Nat.equal);\n /// assert equal((1, \"hello\", 2), (1, \"hello\", 2));\n /// ```\n public func makeEqual(\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool))\n ) : ((A, B, C), (A, B, C)) -> Bool = func(t1, t2) = equal(t1, t2, equalA, equalB, equalC);\n\n /// Creates a `compare` function for a 3-tuple given `compare` functions for its elements.\n /// This is useful when you need to reuse the same comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple3 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let compare = Tuple3.makeCompare(Nat.compare, Text.compare, Nat.compare);\n /// assert compare((1, \"hello\", 2), (1, \"world\", 1)) == #less;\n /// ```\n public func makeCompare(\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order))\n ) : ((A, B, C), (A, B, C)) -> Types.Order = func(t1, t2) = compare(t1, t2, compareA, compareB, compareC)\n };\n\n public module Tuple4 {\n /// Creates a textual representation of a 4-tuple for debugging purposes.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// assert Tuple4.toText((1, \"hello\", 2, 3), Nat.toText, func (x: Text): Text = x, Nat.toText, Nat.toText) == \"(1, hello, 2, 3)\";\n /// ```\n public func toText(\n self : (A, B, C, D),\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text)),\n toTextD : (implicit : (toText : D -> Text))\n ) : Text = \"(\" # toTextA(self.0) # \", \" # toTextB(self.1) # \", \" # toTextC(self.2) # \", \" # toTextD(self.3) # \")\";\n\n /// Compares two 4-tuples for equality.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple4.equal((1, \"hello\", 2, 3), (1, \"hello\", 2, 3), Nat.equal, Text.equal, Nat.equal, Nat.equal);\n /// ```\n public func equal(\n self : (A, B, C, D),\n other : (A, B, C, D),\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool)),\n equalD : (implicit : (equal : (D, D) -> Bool))\n ) : Bool = equalA(self.0, other.0) and equalB(self.1, other.1) and equalC(self.2, other.2) and equalD(self.3, other.3);\n\n /// Compares two 4-tuples lexicographically.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// assert Tuple4.compare((1, \"hello\", 2, 3), (1, \"world\", 1, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #less;\n /// assert Tuple4.compare((1, \"hello\", 2, 3), (2, \"hello\", 2, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #less;\n /// assert Tuple4.compare((1, \"hello\", 2, 3), (1, \"hello\", 2, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #equal;\n /// assert Tuple4.compare((2, \"hello\", 2, 3), (1, \"hello\", 2, 3), Nat.compare, Text.compare, Nat.compare, Nat.compare) == #greater;\n /// ```\n public func compare(\n self : (A, B, C, D),\n other : (A, B, C, D),\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order)),\n compareD : (implicit : (compare : (D, D) -> Types.Order))\n ) : Types.Order = switch (compareA(self.0, other.0)) {\n case (#equal) {\n switch (compareB(self.1, other.1)) {\n case (#equal) {\n switch (compareC(self.2, other.2)) {\n case (#equal) compareD(self.3, other.3);\n case order order\n }\n };\n case order order\n }\n };\n case order order\n };\n\n /// Creates a `toText` function for a 4-tuple given `toText` functions for its elements.\n /// This is useful when you need to reuse the same toText conversion multiple times.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// let toText = Tuple4.makeToText(Nat.toText, func (x: Text): Text = x, Nat.toText, Nat.toText);\n /// assert toText((1, \"hello\", 2, 3)) == \"(1, hello, 2, 3)\";\n /// ```\n public func makeToText(\n toTextA : (implicit : (toText : A -> Text)),\n toTextB : (implicit : (toText : B -> Text)),\n toTextC : (implicit : (toText : C -> Text)),\n toTextD : (implicit : (toText : D -> Text))\n ) : ((A, B, C, D)) -> Text = func t = toText(t, toTextA, toTextB, toTextC, toTextD);\n\n /// Creates an `equal` function for a 4-tuple given `equal` functions for its elements.\n /// This is useful when you need to reuse the same equality comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let equal = Tuple4.makeEqual(Nat.equal, Text.equal, Nat.equal, Nat.equal);\n /// assert equal((1, \"hello\", 2, 3), (1, \"hello\", 2, 3));\n /// ```\n public func makeEqual(\n equalA : (implicit : (equal : (A, A) -> Bool)),\n equalB : (implicit : (equal : (B, B) -> Bool)),\n equalC : (implicit : (equal : (C, C) -> Bool)),\n equalD : (implicit : (equal : (D, D) -> Bool))\n ) : ((A, B, C, D), (A, B, C, D)) -> Bool = func(t1, t2) = equal(t1, t2, equalA, equalB, equalC, equalD);\n\n /// Creates a `compare` function for a 4-tuple given `compare` functions for its elements.\n /// This is useful when you need to reuse the same comparison multiple times.\n ///\n /// ```motoko\n /// import { Tuple4 } \"mo:core/Tuples\";\n ///\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// let compare = Tuple4.makeCompare(Nat.compare, Text.compare, Nat.compare, Nat.compare);\n /// assert compare((1, \"hello\", 2, 3), (1, \"world\", 1, 3)) == #less;\n /// ```\n public func makeCompare(\n compareA : (implicit : (compare : (A, A) -> Types.Order)),\n compareB : (implicit : (compare : (B, B) -> Types.Order)),\n compareC : (implicit : (compare : (C, C) -> Types.Order)),\n compareD : (implicit : (compare : (D, D) -> Types.Order))\n ) : ((A, B, C, D), (A, B, C, D)) -> Types.Order = func(t1, t2) = compare(t1, t2, compareA, compareB, compareC, compareD)\n }\n}\n"},"Types.mo":{"content":"/// Common types used throughout the core package.\n///\n/// Example usage:\n///\n/// ```motoko name=import\n/// import { type Result; type Iter } \"mo:core/Types\";\n///\n/// // Result for error handling\n/// let result : Result = #ok(42);\n///\n/// // Iterator for sequences\n/// let iter : Iter = { next = func() { ?1 } };\n/// ```\n\nimport Prim \"mo:⛔\";\n\nmodule {\n public type Blob = Prim.Types.Blob;\n public type Bool = Prim.Types.Bool;\n public type Char = Prim.Types.Char;\n public type Error = Prim.Types.Error;\n public type ErrorCode = Prim.ErrorCode;\n public type Float = Prim.Types.Float;\n public type Int = Prim.Types.Int;\n public type Int8 = Prim.Types.Int8;\n public type Int16 = Prim.Types.Int16;\n public type Int32 = Prim.Types.Int32;\n public type Int64 = Prim.Types.Int64;\n public type Nat = Prim.Types.Nat;\n public type Nat8 = Prim.Types.Nat8;\n public type Nat16 = Prim.Types.Nat16;\n public type Nat32 = Prim.Types.Nat32;\n public type Nat64 = Prim.Types.Nat64;\n public type Principal = Prim.Types.Principal;\n public type Region = Prim.Types.Region;\n public type Text = Prim.Types.Text;\n\n public type Hash = Nat32;\n public type Iter = { next : () -> ?T };\n public type Order = { #less; #equal; #greater };\n public type Result = { #ok : T; #err : E };\n public type Pattern = {\n #char : Char;\n #text : Text;\n #predicate : (Char -> Bool)\n };\n public type Time = Int;\n public type Duration = {\n #days : Nat;\n #hours : Nat;\n #minutes : Nat;\n #seconds : Nat;\n #milliseconds : Nat;\n #nanoseconds : Nat\n };\n public type TimerId = Nat;\n\n public type List = {\n var blocks : [var [var ?T]];\n var blockIndex : Nat;\n var elementIndex : Nat\n };\n\n public module Queue {\n public type Queue = {\n var front : ?Node;\n var back : ?Node;\n var size : Nat\n };\n\n public type Node = {\n value : T;\n var next : ?Node;\n var previous : ?Node\n }\n };\n public type Queue = Queue.Queue;\n\n public module PriorityQueue {\n public type PriorityQueue = {\n heap : List\n }\n };\n public type PriorityQueue = PriorityQueue.PriorityQueue;\n\n public module Set {\n public type Node = {\n #leaf : Leaf;\n #internal : Internal\n };\n\n public type Data = {\n elements : [var ?T];\n var count : Nat\n };\n\n public type Internal = {\n data : Data;\n children : [var ?Node]\n };\n\n public type Leaf = {\n data : Data\n };\n\n public type Set = {\n var root : Node;\n var size : Nat\n }\n };\n public type Set = Set.Set;\n\n public module Map {\n public type Node = {\n #leaf : Leaf;\n #internal : Internal\n };\n\n public type Data = {\n kvs : [var ?(K, V)];\n var count : Nat\n };\n\n public type Internal = {\n data : Data;\n children : [var ?Node]\n };\n\n public type Leaf = {\n data : Data\n };\n\n public type Map = {\n var root : Node;\n var size : Nat\n }\n };\n\n public type Map = Map.Map;\n\n public module Stack {\n public type Stack = {\n var top : Pure.List;\n var size : Nat\n }\n };\n public type Stack = Stack.Stack;\n\n public module Pure {\n public type List = ?(T, List);\n\n public module Map {\n public type Map = {\n size : Nat;\n root : Tree\n };\n public type Tree = {\n #red : (Tree, K, V, Tree);\n #black : (Tree, K, V, Tree);\n #leaf\n };\n\n };\n public type Map = Map.Map;\n\n public type Queue = (List, Nat, List);\n\n public module Set {\n public type Tree = {\n #red : (Tree, T, Tree);\n #black : (Tree, T, Tree);\n #leaf\n };\n\n public type Set = { size : Nat; root : Tree }\n };\n\n public type Set = Set.Set;\n\n }\n}\n"},"Cycles.mo":{"content":"/// Managing cycles within actors in the Internet Computer Protocol (ICP).\n///\n/// The usage of the Internet Computer is measured, and paid for, in _cycles_.\n/// This library provides imperative operations for observing cycles, transferring cycles, and\n/// observing refunds of cycles.\n///\n/// **NOTE:** Since cycles measure computational resources, the value of `balance()` can change from one call to the next.\n///\n/// Cycles can be transferred from the current actor to another actor with the evaluation of certain forms of expression.\n/// In particular, the expression must be a call to a shared function, a call to a local function with an `async` return type, or a simple `async` expression.\n/// To attach an amount of cycles to an expression ``, simply prefix the expression with `(with cycles = )`, that is, `(with cycles = ) `.\n///\n/// **NOTE:** Attaching cycles will trap if the amount specified exceeds `2 ** 128` cycles.\n///\n/// Upon the call, but not before, the amount of cycles is deducted from `balance()`.\n/// If this total exceeds `balance()`, the caller traps, aborting the call without consuming the cycles.\n/// Note that attaching cycles to a call to a local function call or `async` expression just transfers cycles from the current actor to itself.\n///\n/// Example for use on the ICP:\n/// ```motoko no-repl\n/// import Cycles \"mo:core/Cycles\";\n///\n/// persistent actor {\n/// public func main() : async () {\n/// let initialBalance = Cycles.balance();\n/// await (with cycles = 15_000_000) operation(); // accepts 10_000_000 cycles\n/// assert Cycles.refunded() == 5_000_000;\n/// assert Cycles.balance() < initialBalance; // decreased by around 10_000_000\n/// };\n///\n/// func operation() : async () {\n/// let initialBalance = Cycles.balance();\n/// let initialAvailable = Cycles.available();\n/// let obtained = Cycles.accept(10_000_000);\n/// assert obtained == 10_000_000;\n/// assert Cycles.balance() == initialBalance + 10_000_000;\n/// assert Cycles.available() == initialAvailable - 10_000_000;\n/// }\n/// }\n/// ```\nimport Prim \"mo:⛔\";\nmodule {\n\n /// Returns the actor's current balance of cycles as `amount`.\n ///\n /// Example for use on the ICP:\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// let balance = Cycles.balance();\n /// assert balance > 0;\n /// }\n /// }\n /// ```\n public let balance : () -> (amount : Nat) = Prim.cyclesBalance;\n\n /// Returns the currently available `amount` of cycles.\n /// The amount available is the amount received in the current call,\n /// minus the cumulative amount `accept`ed by this call.\n /// On exit from the current shared function or async expression via `return` or `throw`,\n /// any remaining available amount is automatically refunded to the caller/context.\n ///\n /// Example for use on the ICP:\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// let available = Cycles.available();\n /// assert available >= 0;\n /// }\n /// }\n /// ```\n public let available : () -> (amount : Nat) = Prim.cyclesAvailable;\n\n /// Transfers up to `amount` from `available()` to `balance()`.\n /// Returns the amount actually transferred, which may be less than\n /// requested, for example, if less is available, or if canister balance limits are reached.\n ///\n /// Example for use on the ICP (for simplicity, only transferring cycles to itself):\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// await (with cycles = 15_000_000) operation(); // accepts 10_000_000 cycles\n /// };\n ///\n /// func operation() : async() {\n /// let obtained = Cycles.accept(10_000_000);\n /// assert obtained == 10_000_000;\n /// }\n /// }\n /// ```\n public let accept : (amount : Nat) -> (accepted : Nat) = Prim.cyclesAccept;\n\n /// Reports `amount` of cycles refunded in the last `await` of the current\n /// context, or zero if no await has occurred yet.\n /// Calling `refunded()` is solely informational and does not affect `balance()`.\n /// Instead, refunds are automatically added to the current balance,\n /// whether or not `refunded` is used to observe them.\n ///\n /// Example for use on the ICP (for simplicity, only transferring cycles to itself):\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// func operation() : async() {\n /// ignore Cycles.accept(10_000_000);\n /// };\n ///\n /// public func main() : async() {\n /// await (with cycles = 15_000_000) operation(); // accepts 10_000_000 cycles\n /// assert Cycles.refunded() == 5_000_000;\n /// }\n /// }\n /// ```\n public let refunded : () -> (amount : Nat) = Prim.cyclesRefunded;\n\n /// Attempts to burn `amount` of cycles, deducting `burned` from the canister's\n /// cycle balance. The burned cycles are irrevocably lost and not available to any\n /// other principal either.\n ///\n /// Example for use on the IC:\n /// ```motoko no-repl\n /// import Cycles \"mo:core/Cycles\";\n ///\n /// persistent actor {\n /// public func main() : async() {\n /// let burnt = Cycles.burn(10_000_000);\n /// assert burnt == 10_000_000;\n /// }\n /// }\n /// ```\n public let burn : (amount : Nat) -> (burned : Nat) = Prim.cyclesBurn;\n\n}\n"},"Principal.mo":{"content":"/// Module for interacting with Principals (users and canisters).\n///\n/// Principals are used to identify entities that can interact with the Internet\n/// Computer. These entities are either users or canisters.\n///\n/// Example textual representation of Principals:\n///\n/// `un4fu-tqaaa-aaaab-qadjq-cai`\n///\n/// In Motoko, there is a primitive Principal type called `Principal`. As an example\n/// of where you might see Principals, you can access the Principal of the\n/// caller of your shared function.\n///\n/// ```motoko no-repl\n/// persistent actor {\n/// public shared(msg) func foo() {\n/// let caller : Principal = msg.caller;\n/// };\n/// }\n/// ```\n///\n/// Then, you can use this module to work with the `Principal`.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Principal \"mo:core/Principal\";\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Blob \"Blob\";\nimport Array \"Array\";\nimport VarArray \"VarArray\";\nimport Nat8 \"Nat8\";\nimport Nat32 \"Nat32\";\nimport Nat64 \"Nat64\";\nimport Text \"Text\";\nimport Types \"Types\";\n\nmodule {\n\n public type Principal = Prim.Types.Principal;\n\n /// Get the `Principal` identifier of an actor.\n ///\n /// Example:\n /// ```motoko include=import no-repl\n /// persistent actor MyCanister {\n /// func getPrincipal() : Principal {\n /// let principal = Principal.fromActor(MyCanister);\n /// }\n /// }\n /// ```\n public let fromActor : (a : actor {}) -> Principal = Prim.principalOfActor;\n\n /// Compute the Ledger account identifier of a principal. Optionally specify a sub-account.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let subAccount : Blob = \"\\4A\\8D\\3F\\2B\\6E\\01\\C8\\7D\\9E\\03\\B4\\56\\7C\\F8\\9A\\01\\D2\\34\\56\\78\\9A\\BC\\DE\\F0\\12\\34\\56\\78\\9A\\BC\\DE\\F0\";\n /// let account = Principal.toLedgerAccount(principal, ?subAccount);\n /// assert account == \"\\8C\\5C\\20\\C6\\15\\3F\\7F\\51\\E2\\0D\\0F\\0F\\B5\\08\\51\\5B\\47\\65\\63\\A9\\62\\B4\\A9\\91\\5F\\4F\\02\\70\\8A\\ED\\4F\\82\";\n /// ```\n public func toLedgerAccount(self : Principal, subAccount : ?Blob) : Blob {\n let sha224 = SHA224();\n let accountSeparator : Blob = \"\\0Aaccount-id\";\n sha224.writeBlob(accountSeparator);\n sha224.writeBlob(toBlob(self));\n switch subAccount {\n case (?subAccount) {\n sha224.writeBlob(subAccount)\n };\n case (null) {\n let defaultSubAccount = Array.tabulate(32, func _ = 0);\n sha224.writeArray(defaultSubAccount)\n }\n };\n\n let hashSum = sha224.sum();\n\n // hashBlob is a CRC32 implementation\n let crc32Bytes = nat32ToByteArray(Prim.hashBlob hashSum);\n\n Blob.fromArray(Array.concat(crc32Bytes, Blob.toArray(hashSum)))\n };\n\n /// Convert a `Principal` to its `Blob` (bytes) representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let blob = Principal.toBlob(principal);\n /// assert blob == \"\\00\\00\\00\\00\\00\\30\\00\\D3\\01\\01\";\n /// ```\n public let toBlob : (self : Principal) -> Blob = Prim.blobOfPrincipal;\n\n /// Converts a `Blob` (bytes) representation of a `Principal` to a `Principal` value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let blob = \"\\00\\00\\00\\00\\00\\30\\00\\D3\\01\\01\" : Blob;\n /// let principal = Principal.fromBlob(blob);\n /// assert Principal.toText(principal) == \"un4fu-tqaaa-aaaab-qadjq-cai\";\n /// ```\n public let fromBlob : (self : Blob) -> Principal = Prim.principalOfBlob;\n\n /// Converts a `Principal` to its `Text` representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.toText(principal) == \"un4fu-tqaaa-aaaab-qadjq-cai\";\n /// ```\n public func toText(self : Principal) : Text = debug_show (self);\n\n /// Converts a `Text` representation of a `Principal` to a `Principal` value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.toText(principal) == \"un4fu-tqaaa-aaaab-qadjq-cai\";\n /// ```\n public func fromText(t : Text) : Principal = fromActor(actor (t));\n\n private let anonymousBlob : Blob = \"\\04\";\n\n /// Constructs and returns the anonymous principal.\n public func anonymous() : Principal = Prim.principalOfBlob(anonymousBlob);\n\n /// Checks if the given principal represents an anonymous user.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert not Principal.isAnonymous(principal);\n /// ```\n public func isAnonymous(self : Principal) : Bool = Prim.blobOfPrincipal self == anonymousBlob;\n\n /// Checks if the given principal is a canister.\n ///\n /// The last byte for opaque principal ids must be 0x01\n /// https://internetcomputer.org/docs/current/references/ic-interface-spec#principal\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.isCanister(principal);\n /// ```\n public func isCanister(self : Principal) : Bool {\n let byteArray = toByteArray(self);\n\n byteArray.size() >= 0 and byteArray.size() <= 29 and isLastByte(byteArray, 1)\n };\n\n /// Checks if the given principal is a self authenticating principal.\n /// Most of the time, this is a user principal.\n ///\n /// The last byte for user principal ids must be 0x02\n /// https://internetcomputer.org/docs/current/references/ic-interface-spec#principal\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"6rgy7-3uukz-jrj2k-crt3v-u2wjm-dmn3t-p26d6-ndilt-3gusv-75ybk-jae\");\n /// assert Principal.isSelfAuthenticating(principal);\n /// ```\n public func isSelfAuthenticating(self : Principal) : Bool {\n let byteArray = toByteArray(self);\n\n byteArray.size() == 29 and isLastByte(byteArray, 2)\n };\n\n /// Checks if the given principal is a reserved principal.\n ///\n /// The last byte for reserved principal ids must be 0x7f\n /// https://internetcomputer.org/docs/current/references/ic-interface-spec#principal\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert not Principal.isReserved(principal);\n /// ```\n public func isReserved(self : Principal) : Bool {\n let byteArray = toByteArray(self);\n\n byteArray.size() >= 0 and byteArray.size() <= 29 and isLastByte(byteArray, 127)\n };\n\n /// Checks if the given principal can control this canister.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert not Principal.isController(principal);\n /// ```\n public func isController(self : Principal) : Bool = Prim.isController self;\n\n /// Hashes the given principal by hashing its `Blob` representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.hash(principal) == 2_742_573_646;\n /// ```\n public func hash(self : Principal) : Types.Hash = Blob.hash(Prim.blobOfPrincipal(self));\n\n /// General purpose comparison function for `Principal`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `principal1` with\n /// `principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// assert Principal.compare(principal1, principal2) == #equal;\n /// ```\n public func compare(self : Principal, other : Principal) : {\n #less;\n #equal;\n #greater\n } {\n if (self < other) {\n #less\n } else if (self == other) {\n #equal\n } else {\n #greater\n }\n };\n\n /// Equality function for Principal types.\n /// This is equivalent to `principal1 == principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.equal(principal1, principal2);\n /// assert principal1 == principal2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.anonymous();\n /// let principal2 = Principal.fromBlob(\"\\04\");\n /// assert Principal.equal(principal1, principal2);\n /// ```\n public func equal(self : Principal, other : Principal) : Bool {\n self == other\n };\n\n /// Inequality function for Principal types.\n /// This is equivalent to `principal1 != principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.notEqual(principal1, principal2);\n /// assert not (principal1 != principal2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(self : Principal, other : Principal) : Bool {\n self != other\n };\n\n /// \"Less than\" function for Principal types.\n /// This is equivalent to `principal1 < principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.less(principal1, principal2);\n /// assert not (principal1 < principal2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(self : Principal, other : Principal) : Bool {\n self < other\n };\n\n /// \"Less than or equal to\" function for Principal types.\n /// This is equivalent to `principal1 <= principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.lessOrEqual(principal1, principal2);\n /// assert principal1 <= principal2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(self : Principal, other : Principal) : Bool {\n self <= other\n };\n\n /// \"Greater than\" function for Principal types.\n /// This is equivalent to `principal1 > principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.greater(principal1, principal2);\n /// assert not (principal1 > principal2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(self : Principal, other : Principal) : Bool {\n self > other\n };\n\n /// \"Greater than or equal to\" function for Principal types.\n /// This is equivalent to `principal1 >= principal2`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let principal1 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// let principal2 = Principal.fromText(\"un4fu-tqaaa-aaaab-qadjq-cai\");\n /// ignore Principal.greaterOrEqual(principal1, principal2);\n /// assert principal1 >= principal2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(self : Principal, other : Principal) : Bool {\n self >= other\n };\n\n /**\n * SHA224 Utilities used in toAccount().\n * Utilities are not exposed as public functions.\n * Taken with permission from https://github.com/research-ag/sha2\n **/\n let K00 : Nat32 = 0x428a2f98;\n let K01 : Nat32 = 0x71374491;\n let K02 : Nat32 = 0xb5c0fbcf;\n let K03 : Nat32 = 0xe9b5dba5;\n let K04 : Nat32 = 0x3956c25b;\n let K05 : Nat32 = 0x59f111f1;\n let K06 : Nat32 = 0x923f82a4;\n let K07 : Nat32 = 0xab1c5ed5;\n let K08 : Nat32 = 0xd807aa98;\n let K09 : Nat32 = 0x12835b01;\n let K10 : Nat32 = 0x243185be;\n let K11 : Nat32 = 0x550c7dc3;\n let K12 : Nat32 = 0x72be5d74;\n let K13 : Nat32 = 0x80deb1fe;\n let K14 : Nat32 = 0x9bdc06a7;\n let K15 : Nat32 = 0xc19bf174;\n let K16 : Nat32 = 0xe49b69c1;\n let K17 : Nat32 = 0xefbe4786;\n let K18 : Nat32 = 0x0fc19dc6;\n let K19 : Nat32 = 0x240ca1cc;\n let K20 : Nat32 = 0x2de92c6f;\n let K21 : Nat32 = 0x4a7484aa;\n let K22 : Nat32 = 0x5cb0a9dc;\n let K23 : Nat32 = 0x76f988da;\n let K24 : Nat32 = 0x983e5152;\n let K25 : Nat32 = 0xa831c66d;\n let K26 : Nat32 = 0xb00327c8;\n let K27 : Nat32 = 0xbf597fc7;\n let K28 : Nat32 = 0xc6e00bf3;\n let K29 : Nat32 = 0xd5a79147;\n let K30 : Nat32 = 0x06ca6351;\n let K31 : Nat32 = 0x14292967;\n let K32 : Nat32 = 0x27b70a85;\n let K33 : Nat32 = 0x2e1b2138;\n let K34 : Nat32 = 0x4d2c6dfc;\n let K35 : Nat32 = 0x53380d13;\n let K36 : Nat32 = 0x650a7354;\n let K37 : Nat32 = 0x766a0abb;\n let K38 : Nat32 = 0x81c2c92e;\n let K39 : Nat32 = 0x92722c85;\n let K40 : Nat32 = 0xa2bfe8a1;\n let K41 : Nat32 = 0xa81a664b;\n let K42 : Nat32 = 0xc24b8b70;\n let K43 : Nat32 = 0xc76c51a3;\n let K44 : Nat32 = 0xd192e819;\n let K45 : Nat32 = 0xd6990624;\n let K46 : Nat32 = 0xf40e3585;\n let K47 : Nat32 = 0x106aa070;\n let K48 : Nat32 = 0x19a4c116;\n let K49 : Nat32 = 0x1e376c08;\n let K50 : Nat32 = 0x2748774c;\n let K51 : Nat32 = 0x34b0bcb5;\n let K52 : Nat32 = 0x391c0cb3;\n let K53 : Nat32 = 0x4ed8aa4a;\n let K54 : Nat32 = 0x5b9cca4f;\n let K55 : Nat32 = 0x682e6ff3;\n let K56 : Nat32 = 0x748f82ee;\n let K57 : Nat32 = 0x78a5636f;\n let K58 : Nat32 = 0x84c87814;\n let K59 : Nat32 = 0x8cc70208;\n let K60 : Nat32 = 0x90befffa;\n let K61 : Nat32 = 0xa4506ceb;\n let K62 : Nat32 = 0xbef9a3f7;\n let K63 : Nat32 = 0xc67178f2;\n\n let ivs : [[Nat32]] = [\n [\n // 224\n 0xc1059ed8,\n 0x367cd507,\n 0x3070dd17,\n 0xf70e5939,\n 0xffc00b31,\n 0x68581511,\n 0x64f98fa7,\n 0xbefa4fa4\n ],\n [\n // 256\n 0x6a09e667,\n 0xbb67ae85,\n 0x3c6ef372,\n 0xa54ff53a,\n 0x510e527f,\n 0x9b05688c,\n 0x1f83d9ab,\n 0x5be0cd19\n ]\n ];\n\n let rot = Nat32.bitrotRight;\n\n class SHA224() {\n let (sum_bytes, iv) = (28, 0);\n\n var s0 : Nat32 = 0;\n var s1 : Nat32 = 0;\n var s2 : Nat32 = 0;\n var s3 : Nat32 = 0;\n var s4 : Nat32 = 0;\n var s5 : Nat32 = 0;\n var s6 : Nat32 = 0;\n var s7 : Nat32 = 0;\n\n let msg : [var Nat32] = VarArray.repeat(0, 16);\n let digest = VarArray.repeat(0, sum_bytes);\n var word : Nat32 = 0;\n\n var i_msg : Nat8 = 0;\n var i_byte : Nat8 = 4;\n var i_block : Nat64 = 0;\n\n public func reset() {\n i_msg := 0;\n i_byte := 4;\n i_block := 0;\n s0 := ivs[iv][0];\n s1 := ivs[iv][1];\n s2 := ivs[iv][2];\n s3 := ivs[iv][3];\n s4 := ivs[iv][4];\n s5 := ivs[iv][5];\n s6 := ivs[iv][6];\n s7 := ivs[iv][7]\n };\n\n reset();\n\n private func writeByte(val : Nat8) : () {\n word := (word << 8) ^ Nat32.fromIntWrap(Nat8.toNat(val));\n i_byte -%= 1;\n if (i_byte == 0) {\n msg[Nat8.toNat(i_msg)] := word;\n word := 0;\n i_byte := 4;\n i_msg +%= 1;\n if (i_msg == 16) {\n process_block();\n i_msg := 0;\n i_block +%= 1\n }\n }\n };\n\n private func process_block() : () {\n let w00 = msg[0];\n let w01 = msg[1];\n let w02 = msg[2];\n let w03 = msg[3];\n let w04 = msg[4];\n let w05 = msg[5];\n let w06 = msg[6];\n let w07 = msg[7];\n let w08 = msg[8];\n let w09 = msg[9];\n let w10 = msg[10];\n let w11 = msg[11];\n let w12 = msg[12];\n let w13 = msg[13];\n let w14 = msg[14];\n let w15 = msg[15];\n let w16 = w00 +% rot(w01, 07) ^ rot(w01, 18) ^ (w01 >> 03) +% w09 +% rot(w14, 17) ^ rot(w14, 19) ^ (w14 >> 10);\n let w17 = w01 +% rot(w02, 07) ^ rot(w02, 18) ^ (w02 >> 03) +% w10 +% rot(w15, 17) ^ rot(w15, 19) ^ (w15 >> 10);\n let w18 = w02 +% rot(w03, 07) ^ rot(w03, 18) ^ (w03 >> 03) +% w11 +% rot(w16, 17) ^ rot(w16, 19) ^ (w16 >> 10);\n let w19 = w03 +% rot(w04, 07) ^ rot(w04, 18) ^ (w04 >> 03) +% w12 +% rot(w17, 17) ^ rot(w17, 19) ^ (w17 >> 10);\n let w20 = w04 +% rot(w05, 07) ^ rot(w05, 18) ^ (w05 >> 03) +% w13 +% rot(w18, 17) ^ rot(w18, 19) ^ (w18 >> 10);\n let w21 = w05 +% rot(w06, 07) ^ rot(w06, 18) ^ (w06 >> 03) +% w14 +% rot(w19, 17) ^ rot(w19, 19) ^ (w19 >> 10);\n let w22 = w06 +% rot(w07, 07) ^ rot(w07, 18) ^ (w07 >> 03) +% w15 +% rot(w20, 17) ^ rot(w20, 19) ^ (w20 >> 10);\n let w23 = w07 +% rot(w08, 07) ^ rot(w08, 18) ^ (w08 >> 03) +% w16 +% rot(w21, 17) ^ rot(w21, 19) ^ (w21 >> 10);\n let w24 = w08 +% rot(w09, 07) ^ rot(w09, 18) ^ (w09 >> 03) +% w17 +% rot(w22, 17) ^ rot(w22, 19) ^ (w22 >> 10);\n let w25 = w09 +% rot(w10, 07) ^ rot(w10, 18) ^ (w10 >> 03) +% w18 +% rot(w23, 17) ^ rot(w23, 19) ^ (w23 >> 10);\n let w26 = w10 +% rot(w11, 07) ^ rot(w11, 18) ^ (w11 >> 03) +% w19 +% rot(w24, 17) ^ rot(w24, 19) ^ (w24 >> 10);\n let w27 = w11 +% rot(w12, 07) ^ rot(w12, 18) ^ (w12 >> 03) +% w20 +% rot(w25, 17) ^ rot(w25, 19) ^ (w25 >> 10);\n let w28 = w12 +% rot(w13, 07) ^ rot(w13, 18) ^ (w13 >> 03) +% w21 +% rot(w26, 17) ^ rot(w26, 19) ^ (w26 >> 10);\n let w29 = w13 +% rot(w14, 07) ^ rot(w14, 18) ^ (w14 >> 03) +% w22 +% rot(w27, 17) ^ rot(w27, 19) ^ (w27 >> 10);\n let w30 = w14 +% rot(w15, 07) ^ rot(w15, 18) ^ (w15 >> 03) +% w23 +% rot(w28, 17) ^ rot(w28, 19) ^ (w28 >> 10);\n let w31 = w15 +% rot(w16, 07) ^ rot(w16, 18) ^ (w16 >> 03) +% w24 +% rot(w29, 17) ^ rot(w29, 19) ^ (w29 >> 10);\n let w32 = w16 +% rot(w17, 07) ^ rot(w17, 18) ^ (w17 >> 03) +% w25 +% rot(w30, 17) ^ rot(w30, 19) ^ (w30 >> 10);\n let w33 = w17 +% rot(w18, 07) ^ rot(w18, 18) ^ (w18 >> 03) +% w26 +% rot(w31, 17) ^ rot(w31, 19) ^ (w31 >> 10);\n let w34 = w18 +% rot(w19, 07) ^ rot(w19, 18) ^ (w19 >> 03) +% w27 +% rot(w32, 17) ^ rot(w32, 19) ^ (w32 >> 10);\n let w35 = w19 +% rot(w20, 07) ^ rot(w20, 18) ^ (w20 >> 03) +% w28 +% rot(w33, 17) ^ rot(w33, 19) ^ (w33 >> 10);\n let w36 = w20 +% rot(w21, 07) ^ rot(w21, 18) ^ (w21 >> 03) +% w29 +% rot(w34, 17) ^ rot(w34, 19) ^ (w34 >> 10);\n let w37 = w21 +% rot(w22, 07) ^ rot(w22, 18) ^ (w22 >> 03) +% w30 +% rot(w35, 17) ^ rot(w35, 19) ^ (w35 >> 10);\n let w38 = w22 +% rot(w23, 07) ^ rot(w23, 18) ^ (w23 >> 03) +% w31 +% rot(w36, 17) ^ rot(w36, 19) ^ (w36 >> 10);\n let w39 = w23 +% rot(w24, 07) ^ rot(w24, 18) ^ (w24 >> 03) +% w32 +% rot(w37, 17) ^ rot(w37, 19) ^ (w37 >> 10);\n let w40 = w24 +% rot(w25, 07) ^ rot(w25, 18) ^ (w25 >> 03) +% w33 +% rot(w38, 17) ^ rot(w38, 19) ^ (w38 >> 10);\n let w41 = w25 +% rot(w26, 07) ^ rot(w26, 18) ^ (w26 >> 03) +% w34 +% rot(w39, 17) ^ rot(w39, 19) ^ (w39 >> 10);\n let w42 = w26 +% rot(w27, 07) ^ rot(w27, 18) ^ (w27 >> 03) +% w35 +% rot(w40, 17) ^ rot(w40, 19) ^ (w40 >> 10);\n let w43 = w27 +% rot(w28, 07) ^ rot(w28, 18) ^ (w28 >> 03) +% w36 +% rot(w41, 17) ^ rot(w41, 19) ^ (w41 >> 10);\n let w44 = w28 +% rot(w29, 07) ^ rot(w29, 18) ^ (w29 >> 03) +% w37 +% rot(w42, 17) ^ rot(w42, 19) ^ (w42 >> 10);\n let w45 = w29 +% rot(w30, 07) ^ rot(w30, 18) ^ (w30 >> 03) +% w38 +% rot(w43, 17) ^ rot(w43, 19) ^ (w43 >> 10);\n let w46 = w30 +% rot(w31, 07) ^ rot(w31, 18) ^ (w31 >> 03) +% w39 +% rot(w44, 17) ^ rot(w44, 19) ^ (w44 >> 10);\n let w47 = w31 +% rot(w32, 07) ^ rot(w32, 18) ^ (w32 >> 03) +% w40 +% rot(w45, 17) ^ rot(w45, 19) ^ (w45 >> 10);\n let w48 = w32 +% rot(w33, 07) ^ rot(w33, 18) ^ (w33 >> 03) +% w41 +% rot(w46, 17) ^ rot(w46, 19) ^ (w46 >> 10);\n let w49 = w33 +% rot(w34, 07) ^ rot(w34, 18) ^ (w34 >> 03) +% w42 +% rot(w47, 17) ^ rot(w47, 19) ^ (w47 >> 10);\n let w50 = w34 +% rot(w35, 07) ^ rot(w35, 18) ^ (w35 >> 03) +% w43 +% rot(w48, 17) ^ rot(w48, 19) ^ (w48 >> 10);\n let w51 = w35 +% rot(w36, 07) ^ rot(w36, 18) ^ (w36 >> 03) +% w44 +% rot(w49, 17) ^ rot(w49, 19) ^ (w49 >> 10);\n let w52 = w36 +% rot(w37, 07) ^ rot(w37, 18) ^ (w37 >> 03) +% w45 +% rot(w50, 17) ^ rot(w50, 19) ^ (w50 >> 10);\n let w53 = w37 +% rot(w38, 07) ^ rot(w38, 18) ^ (w38 >> 03) +% w46 +% rot(w51, 17) ^ rot(w51, 19) ^ (w51 >> 10);\n let w54 = w38 +% rot(w39, 07) ^ rot(w39, 18) ^ (w39 >> 03) +% w47 +% rot(w52, 17) ^ rot(w52, 19) ^ (w52 >> 10);\n let w55 = w39 +% rot(w40, 07) ^ rot(w40, 18) ^ (w40 >> 03) +% w48 +% rot(w53, 17) ^ rot(w53, 19) ^ (w53 >> 10);\n let w56 = w40 +% rot(w41, 07) ^ rot(w41, 18) ^ (w41 >> 03) +% w49 +% rot(w54, 17) ^ rot(w54, 19) ^ (w54 >> 10);\n let w57 = w41 +% rot(w42, 07) ^ rot(w42, 18) ^ (w42 >> 03) +% w50 +% rot(w55, 17) ^ rot(w55, 19) ^ (w55 >> 10);\n let w58 = w42 +% rot(w43, 07) ^ rot(w43, 18) ^ (w43 >> 03) +% w51 +% rot(w56, 17) ^ rot(w56, 19) ^ (w56 >> 10);\n let w59 = w43 +% rot(w44, 07) ^ rot(w44, 18) ^ (w44 >> 03) +% w52 +% rot(w57, 17) ^ rot(w57, 19) ^ (w57 >> 10);\n let w60 = w44 +% rot(w45, 07) ^ rot(w45, 18) ^ (w45 >> 03) +% w53 +% rot(w58, 17) ^ rot(w58, 19) ^ (w58 >> 10);\n let w61 = w45 +% rot(w46, 07) ^ rot(w46, 18) ^ (w46 >> 03) +% w54 +% rot(w59, 17) ^ rot(w59, 19) ^ (w59 >> 10);\n let w62 = w46 +% rot(w47, 07) ^ rot(w47, 18) ^ (w47 >> 03) +% w55 +% rot(w60, 17) ^ rot(w60, 19) ^ (w60 >> 10);\n let w63 = w47 +% rot(w48, 07) ^ rot(w48, 18) ^ (w48 >> 03) +% w56 +% rot(w61, 17) ^ rot(w61, 19) ^ (w61 >> 10);\n\n /*\n for ((i, j, k, l, m) in expansion_rounds.values()) {\n // (j,k,l,m) = (i+1,i+9,i+14,i+16)\n let (v0, v1) = (msg[j], msg[l]);\n let s0 = rot(v0, 07) ^ rot(v0, 18) ^ (v0 >> 03);\n let s1 = rot(v1, 17) ^ rot(v1, 19) ^ (v1 >> 10);\n msg[m] := msg[i] +% s0 +% msg[k] +% s1;\n };\n */\n // compress\n var a = s0;\n var b = s1;\n var c = s2;\n var d = s3;\n var e = s4;\n var f = s5;\n var g = s6;\n var h = s7;\n var t = 0 : Nat32;\n\n t := h +% K00 +% w00 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K01 +% w01 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K02 +% w02 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K03 +% w03 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K04 +% w04 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K05 +% w05 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K06 +% w06 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K07 +% w07 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K08 +% w08 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K09 +% w09 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K10 +% w10 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K11 +% w11 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K12 +% w12 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K13 +% w13 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K14 +% w14 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K15 +% w15 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K16 +% w16 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K17 +% w17 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K18 +% w18 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K19 +% w19 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K20 +% w20 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K21 +% w21 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K22 +% w22 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K23 +% w23 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K24 +% w24 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K25 +% w25 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K26 +% w26 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K27 +% w27 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K28 +% w28 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K29 +% w29 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K30 +% w30 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K31 +% w31 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K32 +% w32 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K33 +% w33 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K34 +% w34 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K35 +% w35 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K36 +% w36 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K37 +% w37 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K38 +% w38 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K39 +% w39 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K40 +% w40 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K41 +% w41 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K42 +% w42 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K43 +% w43 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K44 +% w44 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K45 +% w45 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K46 +% w46 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K47 +% w47 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K48 +% w48 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K49 +% w49 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K50 +% w50 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K51 +% w51 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K52 +% w52 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K53 +% w53 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K54 +% w54 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K55 +% w55 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K56 +% w56 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K57 +% w57 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K58 +% w58 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K59 +% w59 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K60 +% w60 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K61 +% w61 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K62 +% w62 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n t := h +% K63 +% w63 +% (e & f) ^ (^ e & g) +% rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% (b & c) ^ (b & d) ^ (c & d) +% rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n\n /*\n for (i in compression_rounds.keys()) {\n let ch = (e & f) ^ (^ e & g);\n let maj = (a & b) ^ (a & c) ^ (b & c);\n let sigma0 = rot(a, 02) ^ rot(a, 13) ^ rot(a, 22);\n let sigma1 = rot(e, 06) ^ rot(e, 11) ^ rot(e, 25);\n let t = h +% K[i] +% msg[i] +% ch +% sigma1;\n h := g;\n g := f;\n f := e;\n e := d +% t;\n d := c;\n c := b;\n b := a;\n a := t +% maj +% sigma0;\n };\n */\n // final addition\n s0 +%= a;\n s1 +%= b;\n s2 +%= c;\n s3 +%= d;\n s4 +%= e;\n s5 +%= f;\n s6 +%= g;\n s7 +%= h\n };\n\n public func writeIter(iter : { next() : ?Nat8 }) : () {\n label reading loop {\n switch (iter.next()) {\n case (?val) {\n writeByte(val);\n continue reading\n };\n case (null) {\n break reading\n }\n }\n }\n };\n\n public func writeArray(arr : [Nat8]) : () = writeIter(arr.vals());\n public func writeBlob(blob : Blob) : () = writeIter(blob.vals());\n\n public func sum() : Blob {\n // calculate padding\n // t = bytes in the last incomplete block (0-63)\n let t : Nat8 = (i_msg << 2) +% 4 -% i_byte;\n // p = length of padding (1-64)\n var p : Nat8 = if (t < 56) (56 -% t) else (120 -% t);\n // n_bits = length of message in bits\n let n_bits : Nat64 = ((i_block << 6) +% Nat64.fromIntWrap(Nat8.toNat(t))) << 3;\n\n // write padding\n writeByte(0x80);\n p -%= 1;\n while (p != 0) {\n writeByte(0x00);\n p -%= 1\n };\n\n // write length (8 bytes)\n // Note: this exactly fills the block buffer, hence process_block will get\n // triggered by the last writeByte\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 56) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 48) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 40) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 32) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 24) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 16) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat((n_bits >> 8) & 0xff)));\n writeByte(Nat8.fromIntWrap(Nat64.toNat(n_bits & 0xff)));\n\n // retrieve sum\n digest[0] := Nat8.fromIntWrap(Nat32.toNat((s0 >> 24) & 0xff));\n digest[1] := Nat8.fromIntWrap(Nat32.toNat((s0 >> 16) & 0xff));\n digest[2] := Nat8.fromIntWrap(Nat32.toNat((s0 >> 8) & 0xff));\n digest[3] := Nat8.fromIntWrap(Nat32.toNat(s0 & 0xff));\n digest[4] := Nat8.fromIntWrap(Nat32.toNat((s1 >> 24) & 0xff));\n digest[5] := Nat8.fromIntWrap(Nat32.toNat((s1 >> 16) & 0xff));\n digest[6] := Nat8.fromIntWrap(Nat32.toNat((s1 >> 8) & 0xff));\n digest[7] := Nat8.fromIntWrap(Nat32.toNat(s1 & 0xff));\n digest[8] := Nat8.fromIntWrap(Nat32.toNat((s2 >> 24) & 0xff));\n digest[9] := Nat8.fromIntWrap(Nat32.toNat((s2 >> 16) & 0xff));\n digest[10] := Nat8.fromIntWrap(Nat32.toNat((s2 >> 8) & 0xff));\n digest[11] := Nat8.fromIntWrap(Nat32.toNat(s2 & 0xff));\n digest[12] := Nat8.fromIntWrap(Nat32.toNat((s3 >> 24) & 0xff));\n digest[13] := Nat8.fromIntWrap(Nat32.toNat((s3 >> 16) & 0xff));\n digest[14] := Nat8.fromIntWrap(Nat32.toNat((s3 >> 8) & 0xff));\n digest[15] := Nat8.fromIntWrap(Nat32.toNat(s3 & 0xff));\n digest[16] := Nat8.fromIntWrap(Nat32.toNat((s4 >> 24) & 0xff));\n digest[17] := Nat8.fromIntWrap(Nat32.toNat((s4 >> 16) & 0xff));\n digest[18] := Nat8.fromIntWrap(Nat32.toNat((s4 >> 8) & 0xff));\n digest[19] := Nat8.fromIntWrap(Nat32.toNat(s4 & 0xff));\n digest[20] := Nat8.fromIntWrap(Nat32.toNat((s5 >> 24) & 0xff));\n digest[21] := Nat8.fromIntWrap(Nat32.toNat((s5 >> 16) & 0xff));\n digest[22] := Nat8.fromIntWrap(Nat32.toNat((s5 >> 8) & 0xff));\n digest[23] := Nat8.fromIntWrap(Nat32.toNat(s5 & 0xff));\n digest[24] := Nat8.fromIntWrap(Nat32.toNat((s6 >> 24) & 0xff));\n digest[25] := Nat8.fromIntWrap(Nat32.toNat((s6 >> 16) & 0xff));\n digest[26] := Nat8.fromIntWrap(Nat32.toNat((s6 >> 8) & 0xff));\n digest[27] := Nat8.fromIntWrap(Nat32.toNat(s6 & 0xff));\n\n return Blob.fromVarArray(digest)\n }\n }; // class SHA224\n\n func nat32ToByteArray(n : Nat32) : [Nat8] {\n func byte(n : Nat32) : Nat8 {\n Nat8.fromNat(Nat32.toNat(n & 0xff))\n };\n [byte(n >> 24), byte(n >> 16), byte(n >> 8), byte(n)]\n };\n\n func toByteArray(p : Principal) : [Nat8] = Blob.toArray(toBlob(p));\n\n func isLastByte(byteArray : [Nat8], byte : Nat8) : Bool {\n let size = byteArray.size();\n size > 0 and byteArray[size - 1] == byte\n }\n}\n"},"Base64.mo":{"content":"/// Module for Base64 encoding of byte sequences.\n///\n/// Base64 encoding converts binary data to an ASCII string using 64 printable\n/// characters, as specified in [RFC 4648](https://www.rfc-editor.org/rfc/rfc4648).\n/// It is widely used for HTTP Basic Authentication, encoding binary data in\n/// JSON payloads, and data URIs.\n///\n/// This module uses the standard Base64 alphabet (`A–Z`, `a–z`, `0–9`, `+`, `/`)\n/// and pads output to a multiple of 4 characters using `=`.\n///\n/// Original version authored by Claude Sonnet (claude-sonnet-4-6) for use in generated\n/// Motoko API clients. The module received subsequent manual performance improvements.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Base64 \"mo:core/Base64\";\n/// ```\n\nimport Blob \"Blob\";\nimport Nat8 \"Nat8\";\nimport Nat16 \"Nat16\";\nimport Nat32 \"Nat32\";\nimport Nat64 \"Nat64\";\nimport Text \"Text\";\nimport Prim \"mo:prim\";\n\nmodule {\n\n // Standard Base64 alphabet (RFC 4648 §4) in UTF8 values.\n // Equivalent to Text form:\n /*\n private let alphabet : [Text] = [\n \"A\", \"B\", \"C\", \"D\", \"E\", \"F\", \"G\", \"H\", \"I\", \"J\", \"K\", \"L\", \"M\",\n \"N\", \"O\", \"P\", \"Q\", \"R\", \"S\", \"T\", \"U\", \"V\", \"W\", \"X\", \"Y\", \"Z\",\n \"a\", \"b\", \"c\", \"d\", \"e\", \"f\", \"g\", \"h\", \"i\", \"j\", \"k\", \"l\", \"m\",\n \"n\", \"o\", \"p\", \"q\", \"r\", \"s\", \"t\", \"u\", \"v\", \"w\", \"x\", \"y\", \"z\",\n \"0\", \"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\", \"8\", \"9\", \"+\", \"/\"\n ];\n */\n // prettier-ignore\n private let alphabet : [Nat8] = [\n 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77,\n 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90,\n 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109,\n 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122,\n 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,\n 43, 47\n ];\n\n /// Encodes a `Blob` as a Base64 `Text` string (RFC 4648 §4).\n ///\n /// Output length is always a multiple of 4, padded with `=` as needed.\n /// An empty `Blob` encodes to an empty `Text`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Base64.encode(\"\" : Blob) == \"\";\n /// assert Base64.encode(\"f\" : Blob) == \"Zg==\";\n /// assert Base64.encode(\"fo\" : Blob) == \"Zm8=\";\n /// assert Base64.encode(\"foo\" : Blob) == \"Zm9v\";\n /// assert Base64.encode(\"foobar\" : Blob) == \"Zm9vYmFy\";\n /// ```\n ///\n /// Typical use — embedding text in a data URI:\n /// ```motoko include=import\n /// let payload = \"Hello\" : Blob;\n /// let uri = \"data:text/plain;base64,\" # Base64.encode(payload);\n /// assert uri == \"data:text/plain;base64,SGVsbG8=\";\n /// ```\n public func encode(data : Blob) : Text {\n let sz = Nat64.fromIntWrap(data.size());\n var result = \"\";\n var i = 0 : Nat64;\n var next_i = 6 : Nat64;\n\n // Process chunks of 6 input bytes at a time (8 output characters)\n while (next_i <= sz) {\n let b1 = data[i.toNat()];\n let b2 : Nat8 = data[(i +% 1).toNat()];\n let b3 : Nat8 = data[(i +% 2).toNat()];\n let b4 : Nat8 = data[(i +% 3).toNat()];\n let b5 : Nat8 = data[(i +% 4).toNat()];\n let b6 : Nat8 = data[(i +% 5).toNat()];\n\n let n = (b1.toNat16().toNat32() << 16) | (b2.toNat16().toNat32() << 8) | b3.toNat16().toNat32();\n let m = (b4.toNat16().toNat32() << 16) | (b5.toNat16().toNat32() << 8) | b6.toNat16().toNat32();\n\n let bytes = Blob.fromArray([\n alphabet[((n >> 18) & 0x3F).toNat()],\n alphabet[((n >> 12) & 0x3F).toNat()],\n alphabet[((n >> 6) & 0x3F).toNat()],\n alphabet[(n & 0x3F).toNat()],\n alphabet[((m >> 18) & 0x3F).toNat()],\n alphabet[((m >> 12) & 0x3F).toNat()],\n alphabet[((m >> 6) & 0x3F).toNat()],\n alphabet[(m & 0x3F).toNat()]\n ]);\n\n switch (Text.decodeUtf8(bytes)) {\n case (?t) result := result # t;\n case (_) {\n Prim.trap(\"Cannot happen: Utf8 decode error in Base64.encode().\")\n }\n };\n\n i := next_i;\n next_i +%= 6\n };\n\n // Process remaining 0-5 input bytes in chunks of 3\n while (i < sz) {\n let b1 = data[i.toNat()];\n let b2 : Nat8 = if (i +% 1 < sz) data[(i +% 1).toNat()] else 0;\n let b3 : Nat8 = if (i +% 2 < sz) data[(i +% 2).toNat()] else 0;\n\n let n = (b1.toNat16().toNat32() << 16) | (b2.toNat16().toNat32() << 8) | b3.toNat16().toNat32();\n\n // Note: Value 61 is the UTF8 encoding of the `=` character\n let bytes = Blob.fromArray([\n alphabet[((n >> 18) & 0x3F).toNat()],\n alphabet[((n >> 12) & 0x3F).toNat()],\n if (i +% 1 < sz) alphabet[((n >> 6) & 0x3F).toNat()] else 61,\n if (i +% 2 < sz) alphabet[(n & 0x3F).toNat()] else 61\n ]);\n\n switch (Text.decodeUtf8(bytes)) {\n case (?t) result := result # t;\n case (_) {\n Prim.trap(\"Cannot happen: Utf8 decode error in Base64.encode().\")\n }\n };\n\n i +%= 3\n };\n result\n };\n\n}\n"},"Int8.mo":{"content":"/// Utility functions on 8-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int8 \"mo:core/Int8\";\n/// ```\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 8-bit signed integers.\n public type Int8 = Prim.Types.Int8;\n\n /// Minimum 8-bit integer value, `-2 ** 7`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.minValue == -128;\n /// ```\n public let minValue : Int8 = -128;\n\n /// Maximum 8-bit integer value, `+2 ** 7 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.maxValue == +127;\n /// ```\n public let maxValue : Int8 = 127;\n\n /// Converts an 8-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt(123) == (123 : Int);\n /// ```\n public let toInt : (self : Int8) -> Int = Prim.int8ToInt;\n\n /// Converts a signed integer with infinite precision to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt(123) == (+123 : Int8);\n /// ```\n public let fromInt : Int -> Int8 = Prim.intToInt8;\n\n /// Converts a signed integer with infinite precision to an 8-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromIntWrap(-123) == (-123 : Int8);\n /// ```\n public let fromIntWrap : Int -> Int8 = Prim.intToInt8Wrap;\n\n /// Converts a 16-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt16(123) == (+123 : Int8);\n /// ```\n public let fromInt16 : Int16 -> Int8 = Prim.int16ToInt8;\n\n /// Converts an 8-bit signed integer to a 16-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt16(123) == (+123 : Int16);\n /// ```\n public let toInt16 : (self : Int8) -> Int16 = Prim.int8ToInt16;\n\n /// Converts a 32-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt32(123) == (+123 : Int8);\n /// ```\n public func fromInt32(x : Int32) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(x))\n };\n\n /// Converts an 8-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt32(123) == (+123 : Int32);\n /// ```\n public func toInt32(self : Int8) : Int32 {\n Prim.int16ToInt32(Prim.int8ToInt16(self))\n };\n\n /// Converts a 64-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromInt64(123) == (+123 : Int8);\n /// ```\n public func fromInt64(x : Int64) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(Prim.int64ToInt32(x)))\n };\n\n /// Converts an 8-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toInt64(123) == (+123 : Int64);\n /// ```\n public func toInt64(self : Int8) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(Prim.int8ToInt16(self)))\n };\n\n /// Converts an unsigned 8-bit integer to a signed 8-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.fromNat8(123) == (+123 : Int8);\n /// ```\n public let fromNat8 : Nat8 -> Int8 = Prim.nat8ToInt8;\n\n /// Converts a signed 8-bit integer to an unsigned 8-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toNat8(-1) == (255 : Nat8); // underflow\n /// ```\n public let toNat8 : (self : Int8) -> Nat8 = Prim.int8ToNat8;\n\n /// Converts an integer number to its textual representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.toText(-123) == \"-123\";\n /// ```\n public func toText(self : Int8) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 7` (the minimum `Int8` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.abs(-123) == +123;\n /// ```\n public func abs(x : Int8) : Int8 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.min(+2, -3) == -3;\n /// ```\n public func min(x : Int8, y : Int8) : Int8 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.max(+2, -3) == +2;\n /// ```\n public func max(x : Int8, y : Int8) : Int8 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int8 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int8 = -123;\n /// let b : Int8 = 123;\n /// assert not Int8.equal(a, b);\n /// ```\n public func equal(x : Int8, y : Int8) : Bool { x == y };\n\n /// Inequality function for Int8 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int8, y : Int8) : Bool { x != y };\n\n /// \"Less than\" function for Int8 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int8, y : Int8) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int8 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int8, y : Int8) : Bool { x <= y };\n\n /// \"Greater than\" function for Int8 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.greater(-2, -3);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int8, y : Int8) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int8 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.greaterOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int8, y : Int8) : Bool { x >= y };\n\n /// General-purpose comparison function for `Int8`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int8], Int8.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int8, y : Int8) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 7)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int8) : Int8 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.add(100, 23) == +123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int8.add) == -4;\n /// ```\n public func add(x : Int8, y : Int8) : Int8 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.sub(123, 23) == +100;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int8.sub) == 4;\n /// ```\n public func sub(x : Int8, y : Int8) : Int8 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.mul(12, 10) == +120;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int8.mul) == 6;\n /// ```\n public func mul(x : Int8, y : Int8) : Int8 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int8, y : Int8) : Int8 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int8, y : Int8) : Int8 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 8`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.pow(2, 6) == +64;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int8, y : Int8) : Int8 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitnot(-16 /* 0xf0 */) == +15 // 0x0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int8) : Int8 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitand(0x1f, 0x70) == +16 // 0x10;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int8, y : Int8) : Int8 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitor(0x0f, 0x70) == +127 // 0x7f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int8, y : Int8) : Int8 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitxor(0x70, 0x7f) == +15 // 0x0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int8, y : Int8) : Int8 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 8`, the semantics is the same as for `bitshiftLeft(x, y % 8)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitshiftLeft(1, 4) == +16 // 0x10 equivalent to `2 ** 4`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int8, y : Int8) : Int8 { x << y };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 8`, the semantics is the same as for `bitshiftRight(x, y % 8)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitshiftRight(64, 4) == +4 // equivalent to `64 / (2 ** 4)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int8, y : Int8) : Int8 { x >> y };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 8`, the semantics is the same as for `bitrotLeft(x, y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitrotLeft(0x11 /* 0b0001_0001 */, 2) == +68 // 0b0100_0100 == 0x44.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int8, y : Int8) : Int8 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 8`, the semantics is the same as for `bitrotRight(x, y % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitrotRight(0x11 /* 0b0001_0001 */, 1) == -120 // 0b1000_1000 == 0x88.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int8, y : Int8) : Int8 { x <>> y };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 8`, the semantics is the same as for `bittest(x, p % 8)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bittest(64, 6);\n /// ```\n public func bittest(x : Int8, p : Nat) : Bool {\n Prim.btstInt8(x, Prim.intToInt8(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 8`, the semantics is the same as for `bitset(x, p % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitset(0, 6) == +64;\n /// ```\n public func bitset(x : Int8, p : Nat) : Int8 {\n x | (1 << Prim.intToInt8(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 8`, the semantics is the same as for `bitclear(x, p % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitclear(-1, 6) == -65;\n /// ```\n public func bitclear(x : Int8, p : Nat) : Int8 {\n x & ^(1 << Prim.intToInt8(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 8`, the semantics is the same as for `bitclear(x, p % 8)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitflip(127, 6) == +63;\n /// ```\n public func bitflip(x : Int8, p : Nat) : Int8 {\n x ^ (1 << Prim.intToInt8(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitcountNonZero(0x0f) == +4;\n /// ```\n public let bitcountNonZero : (x : Int8) -> Int8 = Prim.popcntInt8;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitcountLeadingZero(0x08) == +4;\n /// ```\n public let bitcountLeadingZero : (x : Int8) -> Int8 = Prim.clzInt8;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.bitcountTrailingZero(0x10) == +4;\n /// ```\n public let bitcountTrailingZero : (x : Int8) -> Int8 = Prim.ctzInt8;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.addWrap(2 ** 6, 2 ** 6) == -128; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int8, y : Int8) : Int8 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.subWrap(-2 ** 7, 1) == +127; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int8, y : Int8) : Int8 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.mulWrap(2 ** 4, 2 ** 4) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int8, y : Int8) : Int8 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 8`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int8.powWrap(2, 7) == -128; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int8, y : Int8) : Int8 { x **% y };\n\n /// Returns an iterator over `Int8` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int8, toExclusive : Int8) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int8 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int8` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int8, to : Int8) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int8 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int8 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int8.allValues();\n /// assert iter.next() == ?-128;\n /// assert iter.next() == ?-127;\n /// assert iter.next() == ?-126;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"Bool.mo":{"content":"/// Boolean type and operations.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Bool \"mo:core/Bool\";\n/// ```\n///\n/// While boolean operators `_ and _` and `_ or _` are short-circuiting,\n/// avoiding computation of the right argument when possible, the functions\n/// `logicalAnd(_, _)` and `logicalOr(_, _)` are *strict* and will always evaluate *both*\n/// of their arguments.\n///\n/// Example:\n/// ```motoko include=import\n/// let t = true;\n/// let f = false;\n///\n/// // Short-circuiting AND\n/// assert not (t and f);\n///\n/// // Short-circuiting OR\n/// assert t or f;\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Iter \"Iter\";\nimport Order \"Order\";\n\nmodule {\n\n /// Booleans with constants `true` and `false`.\n public type Bool = Prim.Types.Bool;\n\n /// Returns `a and b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert not Bool.logicalAnd(true, false);\n /// assert Bool.logicalAnd(true, true);\n /// ```\n public func logicalAnd(self : Bool, other : Bool) : Bool = self and other;\n\n /// Returns `a or b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.logicalOr(true, false);\n /// assert Bool.logicalOr(false, true);\n /// ```\n public func logicalOr(self : Bool, other : Bool) : Bool = self or other;\n\n /// Returns exclusive or of `a` and `b`, `a != b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.logicalXor(true, false);\n /// assert not Bool.logicalXor(true, true);\n /// assert not Bool.logicalXor(false, false);\n /// ```\n public func logicalXor(self : Bool, other : Bool) : Bool = self != other;\n\n /// Returns `not bool`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.logicalNot(false);\n /// assert not Bool.logicalNot(true);\n /// ```\n public func logicalNot(self : Bool) : Bool = not self;\n\n /// Returns `a == b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.equal(true, true);\n /// assert not Bool.equal(true, false);\n /// ```\n public func equal(self : Bool, other : Bool) : Bool { self == other };\n\n /// Returns the ordering of `a` compared to `b`.\n /// Returns `#less` if `a` is `false` and `b` is `true`,\n /// `#equal` if `a` equals `b`,\n /// and `#greater` if `a` is `true` and `b` is `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.compare(true, false) == #greater;\n /// assert Bool.compare(true, true) == #equal;\n /// assert Bool.compare(false, true) == #less;\n /// ```\n public func compare(self : Bool, other : Bool) : Order.Order {\n if (self == other) #equal else if self #greater else #less\n };\n\n /// Returns a text value which is either `\"true\"` or `\"false\"` depending on the input value.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Bool.toText(true) == \"true\";\n /// assert Bool.toText(false) == \"false\";\n /// ```\n public func toText(self : Bool) : Text {\n if self \"true\" else \"false\"\n };\n\n /// Returns an iterator over all possible boolean values (`true` and `false`).\n ///\n /// Example:\n /// ```motoko include=import\n /// let iter = Bool.allValues();\n /// assert iter.next() == ?true;\n /// assert iter.next() == ?false;\n /// assert iter.next() == null;\n /// ```\n public func allValues() : Iter.Iter = object {\n var state : ?Bool = ?true;\n public func next() : ?Bool {\n switch state {\n case (?true) { state := ?false; ?true };\n case (?false) { state := null; ?false };\n case null { null }\n }\n }\n };\n\n}\n"},"Int32.mo":{"content":"/// Utility functions on 32-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int32 \"mo:core/Int32\";\n/// ```\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 32-bit signed integers.\n public type Int32 = Prim.Types.Int32;\n\n /// Minimum 32-bit integer value, `-2 ** 31`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.minValue == -2_147_483_648;\n /// ```\n public let minValue : Int32 = -2_147_483_648;\n\n /// Maximum 32-bit integer value, `+2 ** 31 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.maxValue == +2_147_483_647;\n /// ```\n public let maxValue : Int32 = 2_147_483_647;\n\n /// Converts a 32-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt(123_456) == (123_456 : Int);\n /// ```\n public let toInt : (self : Int32) -> Int = Prim.int32ToInt;\n\n /// Converts a signed integer with infinite precision to a 32-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt(123_456) == (+123_456 : Int32);\n /// ```\n public let fromInt : Int -> Int32 = Prim.intToInt32;\n\n /// Converts a signed integer with infinite precision to a 32-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromIntWrap(-123_456) == (-123_456 : Int);\n /// ```\n public let fromIntWrap : Int -> Int32 = Prim.intToInt32Wrap;\n\n /// Converts a 16-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt16(-123) == (-123 : Int32);\n /// ```\n public let fromInt16 : Int16 -> Int32 = Prim.int16ToInt32;\n\n /// Converts an 8-bit signed integer to a 32-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt8(-123) == (-123 : Int32);\n /// ```\n public func fromInt8(x : Int8) : Int32 {\n Prim.int16ToInt32(Prim.int8ToInt16(x))\n };\n\n /// Converts a 32-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt8(-123) == (-123 : Int8);\n /// ```\n public func toInt8(self : Int32) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(self))\n };\n\n /// Converts a 32-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt16(-123) == (-123 : Int16);\n /// ```\n public func toInt16(self : Int32) : Int16 {\n Prim.int32ToInt16(self)\n };\n\n /// Converts a 64-bit signed integer to a 32-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromInt64(-123_456) == (-123_456 : Int32);\n /// ```\n public let fromInt64 : Int64 -> Int32 = Prim.int64ToInt32;\n\n /// Converts a 32-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toInt64(-123_456) == (-123_456 : Int64);\n /// ```\n public let toInt64 : (self : Int32) -> Int64 = Prim.int32ToInt64;\n\n /// Converts an unsigned 32-bit integer to a signed 32-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.fromNat32(123_456) == (+123_456 : Int32);\n /// ```\n public let fromNat32 : Nat32 -> Int32 = Prim.nat32ToInt32;\n\n /// Converts a signed 32-bit integer to an unsigned 32-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toNat32(-1) == (4_294_967_295 : Nat32); // underflow\n /// ```\n public let toNat32 : (self : Int32) -> Nat32 = Prim.int32ToNat32;\n\n /// Returns the Text representation of `x`. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.toText(-123456) == \"-123456\";\n /// ```\n public func toText(self : Int32) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 31` (the minimum `Int32` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.abs(-123456) == +123_456;\n /// ```\n public func abs(x : Int32) : Int32 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.min(+2, -3) == -3;\n /// ```\n public func min(x : Int32, y : Int32) : Int32 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.max(+2, -3) == +2;\n /// ```\n public func max(x : Int32, y : Int32) : Int32 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int32 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int32 = -123;\n /// let b : Int32 = 123;\n /// assert not Int32.equal(a, b);\n /// ```\n public func equal(x : Int32, y : Int32) : Bool { x == y };\n\n /// Inequality function for Int32 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int32, y : Int32) : Bool { x != y };\n\n /// \"Less than\" function for Int32 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int32, y : Int32) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int32 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int32, y : Int32) : Bool { x <= y };\n\n /// \"Greater than\" function for Int32 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.greater(-2, -3);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int32, y : Int32) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int32 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.greaterOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int32, y : Int32) : Bool {\n x >= y\n };\n\n /// General-purpose comparison function for `Int32`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int32], Int32.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int32, y : Int32) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 31)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int32) : Int32 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.add(100, 23) == +123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int32.add) == -4;\n /// ```\n public func add(x : Int32, y : Int32) : Int32 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.sub(1234, 123) == +1_111;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int32.sub) == 4;\n /// ```\n public func sub(x : Int32, y : Int32) : Int32 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.mul(123, 100) == +12_300;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int32.mul) == 6;\n /// ```\n public func mul(x : Int32, y : Int32) : Int32 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int32, y : Int32) : Int32 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int32, y : Int32) : Int32 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 32`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.pow(2, 10) == +1_024;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int32, y : Int32) : Int32 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitnot(-256 /* 0xffff_ff00 */) == +255 // 0xff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int32) : Int32 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitand(0xffff, 0x00f0) == +240 // 0xf0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int32, y : Int32) : Int32 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitor(0xffff, 0x00f0) == +65_535 // 0xffff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int32, y : Int32) : Int32 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitxor(0xffff, 0x00f0) == +65_295 // 0xff0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int32, y : Int32) : Int32 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 32`, the semantics is the same as for `bitshiftLeft(x, y % 32)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitshiftLeft(1, 8) == +256 // 0x100 equivalent to `2 ** 8`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int32, y : Int32) : Int32 {\n x << y\n };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 32`, the semantics is the same as for `bitshiftRight(x, y % 32)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitshiftRight(1024, 8) == +4 // equivalent to `1024 / (2 ** 8)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int32, y : Int32) : Int32 {\n x >> y\n };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 32`, the semantics is the same as for `bitrotLeft(x, y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitrotLeft(0x2000_0001, 4) == +18 // 0x12.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int32, y : Int32) : Int32 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 32`, the semantics is the same as for `bitrotRight(x, y % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitrotRight(0x0002_0001, 8) == +16_777_728 // 0x0100_0200.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int32, y : Int32) : Int32 {\n x <>> y\n };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 32`, the semantics is the same as for `bittest(x, p % 32)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bittest(128, 7);\n /// ```\n public func bittest(x : Int32, p : Nat) : Bool {\n Prim.btstInt32(x, Prim.intToInt32(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 32`, the semantics is the same as for `bitset(x, p % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitset(0, 7) == +128;\n /// ```\n public func bitset(x : Int32, p : Nat) : Int32 {\n x | (1 << Prim.intToInt32(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 32`, the semantics is the same as for `bitclear(x, p % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitclear(-1, 7) == -129;\n /// ```\n public func bitclear(x : Int32, p : Nat) : Int32 {\n x & ^(1 << Prim.intToInt32(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 32`, the semantics is the same as for `bitclear(x, p % 32)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitflip(255, 7) == +127;\n /// ```\n public func bitflip(x : Int32, p : Nat) : Int32 {\n x ^ (1 << Prim.intToInt32(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitcountNonZero(0xffff) == +16;\n /// ```\n public let bitcountNonZero : (x : Int32) -> Int32 = Prim.popcntInt32;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitcountLeadingZero(0x8000) == +16;\n /// ```\n public let bitcountLeadingZero : (x : Int32) -> Int32 = Prim.clzInt32;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.bitcountTrailingZero(0x0201_0000) == +16;\n /// ```\n public let bitcountTrailingZero : (x : Int32) -> Int32 = Prim.ctzInt32;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.explode 0x66885511 == (102, 136, 85, 17);\n /// ```\n public let explode : (x : Int32) -> (msb : Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeInt32;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.addWrap(2 ** 30, 2 ** 30) == -2_147_483_648; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int32, y : Int32) : Int32 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.subWrap(-2 ** 31, 1) == +2_147_483_647; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int32, y : Int32) : Int32 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.mulWrap(2 ** 16, 2 ** 16) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int32, y : Int32) : Int32 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 32`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int32.powWrap(2, 31) == -2_147_483_648; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int32, y : Int32) : Int32 { x **% y };\n\n /// Returns an iterator over `Int32` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int32, toExclusive : Int32) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int32 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int32` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int32, to : Int32) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int32 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int32 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int32.allValues();\n /// assert iter.next() == ?-2_147_483_648;\n /// assert iter.next() == ?-2_147_483_647;\n /// assert iter.next() == ?-2_147_483_646;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"Set.mo":{"content":"/// Imperative (mutable) sets based on order/comparison of elements.\n/// A set is a collection of elements without duplicates.\n/// The set data structure type is stable and can be used for orthogonal persistence.\n///\n/// Example:\n/// ```motoko\n/// import Set \"mo:core/Set\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// let set = Set.fromIter([3, 1, 2, 3].vals(), Nat.compare);\n/// assert Set.size(set) == 3;\n/// assert not Set.contains(set, Nat.compare, 4);\n/// let diff = Set.difference(set, set, Nat.compare);\n/// assert Set.isEmpty(diff);\n/// }\n/// ```\n///\n/// These sets are implemented as B-trees with order 32, a balanced search tree of ordered elements.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire tree,\n/// where `n` denotes the number of elements stored in the set.\n\n// Data structure implementation is courtesy of Byron Becker.\n// Source: https://github.com/canscale/StableHeapBTreeMap\n// Copyright (c) 2022 Byron Becker.\n// Distributed under Apache 2.0 license.\n// With adjustments by the Motoko team.\n\nimport PureSet \"pure/Set\";\nimport Types \"Types\";\nimport Order \"Order\";\nimport Array \"Array\";\nimport VarArray \"VarArray\";\nimport Runtime \"Runtime\";\nimport Stack \"Stack\";\nimport Option \"Option\";\nimport Iter \"Iter\";\nimport BTreeHelper \"internal/BTreeHelper\";\n\nmodule {\n let btreeOrder = 32; // Should be >= 4 and <= 512.\n\n public type Set = Types.Set.Set;\n type Node = Types.Set.Node;\n type Data = Types.Set.Data;\n type Internal = Types.Set.Internal;\n type Leaf = Types.Set.Leaf;\n\n /// Convert the mutable set to an immutable, purely functional set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import PureSet \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 1].values(), Nat.compare);\n /// let pureSet = Set.toPure(set, Nat.compare);\n /// assert Iter.toArray(PureSet.values(pureSet)) == Iter.toArray(Set.values(set));\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n /// @deprecated M0235\n public func toPure(self : Set, compare : (implicit : (T, T) -> Order.Order)) : PureSet.Set {\n PureSet.fromIter(values(self), compare)\n };\n\n /// Convert an immutable, purely functional set to a mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import PureSet \"mo:core/pure/Set\";\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let pureSet = PureSet.fromIter([3, 1, 2].values(), Nat.compare);\n /// let set = Set.fromPure(pureSet, Nat.compare);\n /// assert Iter.toArray(Set.values(set)) == Iter.toArray(PureSet.values(pureSet));\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func fromPure(set : PureSet.Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(PureSet.values(set), compare)\n };\n\n public func fromArray(array : [T], compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(array.values(), compare)\n };\n\n /// Create a copy of the mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let originalSet = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let clonedSet = Set.clone(originalSet);\n /// Set.add(originalSet, Nat.compare, 4);\n /// assert Set.size(clonedSet) == 3;\n /// assert Set.size(originalSet) == 4;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set.\n public func clone(self : Set) : Set {\n {\n var root = cloneNode(self.root);\n var size = self.size\n }\n };\n\n /// Create a new empty mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.size(set) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Set {\n {\n var root = #leaf({\n data = {\n elements = VarArray.repeat(null, btreeOrder - 1);\n var count = 0\n }\n });\n var size = 0\n }\n };\n\n /// Create a new mutable set with a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n ///\n /// persistent actor {\n /// let cities = Set.singleton(\"Zurich\");\n /// assert Set.size(cities) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(element : T) : Set {\n let elements = VarArray.repeat(null, btreeOrder - 1);\n elements[0] := ?element;\n {\n var root =\n #leaf({ data = { elements; var count = 1 } });\n var size = 1\n }\n };\n\n /// Remove all the elements from the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Text \"mo:core/Text\";\n ///\n /// persistent actor {\n /// let cities = Set.empty();\n /// Set.add(cities, Text.compare, \"Zurich\");\n /// Set.add(cities, Text.compare, \"San Francisco\");\n /// Set.add(cities, Text.compare, \"London\");\n /// assert Set.size(cities) == 3;\n ///\n /// Set.clear(cities);\n /// assert Set.size(cities) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func clear(self : Set) {\n let emptySet = empty();\n self.root := emptySet.root;\n self.size := 0\n };\n\n /// Determines whether a set is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n ///\n /// assert not Set.isEmpty(set);\n /// Set.clear(set);\n /// assert Set.isEmpty(set);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Set) : Bool {\n self.size == 0\n };\n\n /// Return the number of elements in a set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n ///\n /// assert Set.size(set) == 3;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func size(self : Set) : Nat {\n self.size\n };\n\n /// Test whether two imperative sets are equal.\n /// Both sets have to be constructed by the same comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1].values(), Nat.compare);\n /// let set3 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// assert Set.equal(set1, set2, Nat.compare);\n /// assert not Set.equal(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func equal(self : Set, other : Set, compare : (implicit : (T, T) -> Types.Order)) : Bool {\n if (self.size != other.size) return false;\n // TODO: optimize\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n let next1 = iterator1.next();\n let next2 = iterator2.next();\n switch (next1, next2) {\n case (null, null) {\n return true\n };\n case (?element1, ?element2) {\n if (not (compare(element1, element2) == #equal)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Tests whether the set contains the provided element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n ///\n /// assert Set.contains(set, Nat.compare, 1);\n /// assert not Set.contains(set, Nat.compare, 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func contains(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool {\n switch (self.root) {\n case (#internal(internalNode)) {\n containsInInternal(internalNode, compare, element)\n };\n case (#leaf(leafNode)) { containsInLeaf(leafNode, compare, element) }\n }\n };\n\n /// Add a new element to a set.\n /// No effect if the element already exists in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// assert Iter.toArray(Set.values(set)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func add(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) {\n ignore insert(self, compare, element)\n };\n\n /// Insert a new element in the set.\n /// Returns true if the element is new, false if the element was already contained in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.insert(set, Nat.compare, 2);\n /// assert Set.insert(set, Nat.compare, 1);\n /// assert not Set.insert(set, Nat.compare, 2);\n /// assert Iter.toArray(Set.values(set)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func insert(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool {\n let insertResult = switch (self.root) {\n case (#leaf(leafNode)) {\n leafInsertHelper(leafNode, btreeOrder, compare, element)\n };\n case (#internal(internalNode)) {\n internalInsertHelper(internalNode, btreeOrder, compare, element)\n }\n };\n\n switch (insertResult) {\n case (#inserted) {\n // if inserted an element that was not previously there, increment the tree size counter\n self.size += 1;\n true\n };\n case (#existent) {\n // keep size\n false\n };\n case (#promote({ element = promotedElement; leftChild; rightChild })) {\n let elements = VarArray.repeat(null, btreeOrder - 1);\n elements[0] := ?promotedElement;\n let children = VarArray.repeat>(null, btreeOrder);\n children[0] := ?leftChild;\n children[1] := ?rightChild;\n self.root := #internal({\n data = { elements; var count = 1 };\n children\n });\n // promotion always comes from inserting a new element, so increment the tree size counter\n self.size += 1;\n true\n }\n }\n };\n\n /// Deletes an element from a set.\n /// No effect if the element is not contained in the set.\n ///\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n ///\n /// Set.remove(set, Nat.compare, 2);\n /// assert not Set.contains(set, Nat.compare, 2);\n ///\n /// Set.remove(set, Nat.compare, 4);\n /// assert not Set.contains(set, Nat.compare, 4);\n ///\n /// assert Iter.toArray(Set.values(set)) == [1, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n public func remove(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : () {\n ignore delete(self, compare, element)\n };\n\n /// Deletes an element from a set.\n /// Returns true if the element was contained in the set, false if not.\n ///\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n ///\n /// assert Set.delete(set, Nat.compare, 2);\n /// assert not Set.contains(set, Nat.compare, 2);\n ///\n /// assert not Set.delete(set, Nat.compare, 4);\n /// assert not Set.contains(set, Nat.compare, 4);\n /// assert Iter.toArray(Set.values(set)) == [1, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// @deprecated M0235\n public func delete(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool {\n let deleted = switch (self.root) {\n case (#leaf(leafNode)) {\n // TODO: think about how this can be optimized so don't have to do two steps (search and then insert)?\n switch (NodeUtil.getElementIndex(leafNode.data, compare, element)) {\n case (#elementFound(deleteIndex)) {\n leafNode.data.count -= 1;\n ignore BTreeHelper.deleteAndShift(leafNode.data.elements, deleteIndex);\n self.size -= 1;\n true\n };\n case _ { false }\n }\n };\n case (#internal(internalNode)) {\n let deletedElement = switch (internalDeleteHelper(internalNode, btreeOrder, compare, element, false)) {\n case (#deleted) { true };\n case (#inexistent) { false };\n case (#mergeChild({ internalChild })) {\n if (internalChild.data.count > 0) {\n self.root := #internal(internalChild)\n }\n // This case will be hit if the BTree has order == 4\n // In this case, the internalChild has no element (last element was merged with new child), so need to promote that merged child (its only child)\n else {\n self.root := switch (internalChild.children[0]) {\n case (?node) { node };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.delete(), element deletion failed, due to a null replacement node error\")\n }\n }\n };\n true\n }\n };\n if (deletedElement) {\n // if deleted an element from the BTree, decrement the size\n self.size -= 1\n };\n deletedElement\n }\n };\n deleted\n };\n\n /// Retrieves the maximum element from the set.\n /// If the set is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.max(set) == null;\n /// Set.add(set, Nat.compare, 3);\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// assert Set.max(set) == ?3;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func max(self : Set) : ?T {\n reverseValues(self).next()\n };\n\n /// Retrieves the minimum element from the set.\n /// If the set is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Set.min(set) == null;\n /// Set.add(set, Nat.compare, 1);\n /// Set.add(set, Nat.compare, 2);\n /// Set.add(set, Nat.compare, 3);\n /// assert Set.min(set) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func min(self : Set) : ?T {\n values(self).next()\n };\n\n public func toArray(self : Set) : [T] {\n Iter.toArray(values(self))\n };\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// for (number in Set.values(set)) {\n /// tmp #= \" \" # Nat.toText(number);\n /// };\n /// assert tmp == \" 0 1 2 3\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func values(self : Set) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) { return leafElements(leafNode) };\n case (#internal(internalNode)) { internalElements(internalNode) }\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// starting from a given element in ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1].values(), Nat.compare);\n /// assert Iter.toArray(Set.valuesFrom(set, Nat.compare, 1)) == [1, 3];\n /// assert Iter.toArray(Set.valuesFrom(set, Nat.compare, 2)) == [3];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of key-value entries stored in the map.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func valuesFrom(\n self : Set,\n compare : (implicit : (T, T) -> Order.Order),\n element : T\n ) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) leafElementsFrom(leafNode, compare, element);\n case (#internal(internalNode)) internalElementsFrom(internalNode, compare, element)\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// for (number in Set.reverseValues(set)) {\n /// tmp #= \" \" # Nat.toText(number);\n /// };\n /// assert tmp == \" 3 2 1 0\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseValues(self : Set) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) { return reverseLeafElements(leafNode) };\n case (#internal(internalNode)) { reverseInternalElements(internalNode) }\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// starting from a given element in descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 1, 3].values(), Nat.compare);\n /// assert Iter.toArray(Set.reverseValuesFrom(set, Nat.compare, 0)) == [0];\n /// assert Iter.toArray(Set.reverseValuesFrom(set, Nat.compare, 2)) == [1, 0];\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseValuesFrom(\n self : Set,\n compare : (implicit : (T, T) -> Order.Order),\n element : T\n ) : Types.Iter {\n switch (self.root) {\n case (#leaf(leafNode)) reverseLeafElementsFrom(leafNode, compare, element);\n case (#internal(internalNode)) reverseInternalElementsFrom(internalNode, compare, element)\n }\n };\n\n /// Create a mutable set with the elements obtained from an iterator.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrence of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2, 1].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func fromIter(iter : Types.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let set = empty();\n for (element in iter) {\n add(set, compare, element)\n };\n set\n };\n\n /// Convert an iterator of elements to a mutable set.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrence of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter = [3, 1, 2, 1].values();\n ///\n /// let set = iter.toSet(Nat.compare);\n ///\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func toSet(self : Types.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(self, compare)\n };\n\n /// Test whether `set1` is a sub-set of `set2`, i.e. each element in `set1` is\n /// also contained in `set2`. Returns `true` if both sets are equal.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// let set3 = Set.fromIter([3, 4].values(), Nat.compare);\n /// assert Set.isSubset(set1, set2, Nat.compare);\n /// assert not Set.isSubset(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func isSubset(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Bool {\n if (self.size > other.size) { return false };\n // TODO: optimize\n for (element in values(self)) {\n if (not contains(other, compare, element)) {\n return false\n }\n };\n true\n };\n\n /// Returns a new set that is the union of `set1` and `set2`,\n /// i.e. a new set that all the elements that exist in at least on of the two sets.\n /// Potential duplicates are ignored, i.e. if the same element occurs in both `set1`\n /// and `set2`, it only occurs once in the returned set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let union = Set.union(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(union)) == [1, 2, 3, 4, 5];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func union(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = clone(self);\n for (element in values(other)) {\n if (not contains(result, compare, element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Returns a new set that is the intersection of `set1` and `set2`,\n /// i.e. a new set that contains all the elements that exist in both sets.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let intersection = Set.intersection(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(intersection)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func intersection(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (element in values(self)) {\n if (contains(other, compare, element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Returns a new set that is the difference between `set1` and `set2` (`set1` minus `set2`),\n /// i.e. a new set that contains all the elements of `set1` that do not exist in `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let difference = Set.difference(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(difference)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func difference(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (element in values(self)) {\n if (not contains(other, compare, element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Adds all elements from `iter` to the specified `set`.\n /// This is equivalent to `Set.union()` but modifies the set in place.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// Set.addAll(set, Nat.compare, [3, 4, 5].values());\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3, 4, 5];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in `set` and `iter`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func addAll(self : Set, compare : (implicit : (T, T) -> Order.Order), iter : Types.Iter) {\n for (element in iter) {\n add(self, compare, element)\n }\n };\n\n /// Deletes all values in `iter` from the specified `set`.\n /// Returns `true` if any value was present in the set, otherwise false.\n /// The return value indicates whether the size of the set has changed.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// assert Set.deleteAll(set, Nat.compare, [0, 2].values());\n /// assert Iter.toArray(Set.values(set)) == [1];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in `set` and `iter`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func deleteAll(self : Set, compare : (implicit : (T, T) -> Order.Order), iter : Types.Iter) : Bool {\n var deleted = false;\n for (element in iter) {\n deleted := delete(self, compare, element) or deleted // order matters!\n };\n deleted\n };\n\n /// Inserts all values in `iter` into `set`.\n /// Returns true if any value was not contained in the original set, otherwise false.\n /// The return value indicates whether the size of the set has changed.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// assert Set.insertAll(set, Nat.compare, [0, 2, 3].values());\n /// assert Iter.toArray(Set.values(set)) == [0, 1, 2, 3];\n /// assert not Set.insertAll(set, Nat.compare, [0, 1, 2].values()); // no change\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in `set` and `iter`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n /// @deprecated M0235\n public func insertAll(self : Set, compare : (implicit : (T, T) -> Order.Order), iter : Types.Iter) : Bool {\n var inserted = false;\n for (element in iter) {\n inserted := insert(self, compare, element) or inserted // order matters!\n };\n inserted\n };\n\n /// Removes all values in `set` that do not satisfy the given predicate.\n /// Returns `true` if and only if the size of the set has changed.\n /// Modifies the set in place.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// let sizeChanged = Set.retainAll(set, Nat.compare, func n { n % 2 == 0 });\n /// assert Iter.toArray(Set.values(set)) == [2];\n /// assert sizeChanged;\n /// }\n /// ```\n public func retainAll(self : Set, compare : (implicit : (T, T) -> Order.Order), predicate : T -> Bool) : Bool {\n let array = Array.fromIter(values(self));\n deleteAll(\n self,\n compare,\n Iter.filter(array.vals(), func(element : T) : Bool = not predicate(element))\n )\n };\n\n /// Apply an operation on each element contained in the set.\n /// The operation is applied in ascending order of the elements.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// Set.forEach(numbers, func (element) {\n /// tmp #= \" \" # Nat.toText(element)\n /// });\n /// assert tmp == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func forEach(self : Set, operation : T -> ()) {\n for (element in values(self)) {\n operation(element)\n }\n };\n\n /// Filter elements in a new set.\n /// Create a copy of the mutable set that only contains the elements\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let evenNumbers = Set.filter(numbers, Nat.compare, func (number) {\n /// number % 2 == 0\n /// });\n /// assert Iter.toArray(Set.values(evenNumbers)) == [0, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Set, compare : (implicit : (T, T) -> Order.Order), criterion : T -> Bool) : Set {\n let result = empty();\n for (element in values(self)) {\n if (criterion(element)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Project all elements of the set in a new set.\n /// Apply a mapping function to each element in the set and\n /// collect the mapped elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// let textNumbers =\n /// Set.map(numbers, Text.compare, Nat.toText);\n /// assert Iter.toArray(Set.values(textNumbers)) == [\"1\", \"2\", \"3\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func map(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> T2) : Set {\n let result = empty();\n for (element1 in values(self)) {\n let element2 = project(element1);\n add(result, compare, element2)\n };\n result\n };\n\n /// Filter all elements in the set by also applying a projection to the elements.\n /// Apply a mapping function `project` to all elements in the set and collect all\n /// elements, for which the function returns a non-null new element. Collect all\n /// non-discarded new elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 0, 2, 1].values(), Nat.compare);\n ///\n /// let evenTextNumbers = Set.filterMap(numbers, Text.compare, func (number) {\n /// if (number % 2 == 0) {\n /// ?Nat.toText(number)\n /// } else {\n /// null // discard odd numbers\n /// }\n /// });\n /// assert Iter.toArray(Set.values(evenTextNumbers)) == [\"0\", \"2\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> ?T2) : Set {\n let result = empty();\n for (element1 in values(self)) {\n switch (project(element1)) {\n case null {};\n case (?element2) add(result, compare, element2)\n }\n };\n result\n };\n\n /// Iterate all elements in ascending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldLeft(\n /// set,\n /// \"\",\n /// func (accumulator, element) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldLeft(\n self : Set,\n base : A,\n combine : (A, T) -> A\n ) : A {\n var accumulator = base;\n for (element in values(self)) {\n accumulator := combine(accumulator, element)\n };\n accumulator\n };\n\n /// Iterate all elements in descending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldRight(\n /// set,\n /// \"\",\n /// func (element, accumulator) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 3 2 1 0\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func foldRight(\n self : Set,\n base : A,\n combine : (T, A) -> A\n ) : A {\n var accumulator = base;\n for (element in reverseValues(self)) {\n accumulator := combine(element, accumulator)\n };\n accumulator\n };\n\n /// Construct the union of a series of sets, i.e. all elements of\n /// each set are included in the result set.\n /// Any duplicates are ignored, i.e. if an element occurs\n /// in several of the iterated sets, it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let combined = Set.join([set1, set2, set3].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(combined)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the iterated sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func join(setIterator : Types.Iter>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (set in setIterator) {\n for (element in values(set)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Construct the union of a set of element sets, i.e. all elements of\n /// each element set are included in the result set.\n /// Any duplicates are ignored, i.e. if the same element occurs in multiple element sets,\n /// it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Order \"mo:core/Order\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// func setCompare(first: Set.Set, second: Set.Set) : Order.Order {\n /// Set.compare(first, second, Nat.compare)\n /// };\n ///\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let setOfSets = Set.fromIter([set1, set2, set3].values(), setCompare);\n /// let flatSet = Set.flatten(setOfSets, Nat.compare);\n /// assert Iter.toArray(Set.values(flatSet)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in all the sub-sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func flatten(self : Set>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let result = empty();\n for (subSet in values(self)) {\n for (element in values(subSet)) {\n add(result, compare, element)\n }\n };\n result\n };\n\n /// Check whether all elements in the set satisfy a predicate, i.e.\n /// the `predicate` function returns `true` for all elements in the set.\n /// Returns `true` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let belowTen = Set.all(set, func (number) {\n /// number < 10\n /// });\n /// assert belowTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func all(self : Set, predicate : T -> Bool) : Bool {\n // TODO optimize, avoiding iterator\n for (element in values(self)) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Check whether at least one element in the set satisfies a predicate, i.e.\n /// the `predicate` function returns `true` for at least one element in the set.\n /// Returns `false` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let aboveTen = Set.any(set, func (number) {\n /// number > 10\n /// });\n /// assert not aboveTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func any(self : Set, predicate : T -> Bool) : Bool {\n // TODO optimize, avoiding iterator\n for (element in values(self)) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Internal sanity check function.\n /// Can be used to check that elements have been inserted with a consistent comparison function.\n /// Traps if the internal set structure is invalid.\n /// @deprecated M0235\n public func assertValid(self : Set, compare : (implicit : (T, T) -> Order.Order)) {\n func checkIteration(iterator : Types.Iter, order : Order.Order) {\n switch (iterator.next()) {\n case null {};\n case (?first) {\n var previous = first;\n loop {\n switch (iterator.next()) {\n case null return;\n case (?next) {\n if (compare(previous, next) != order) {\n Runtime.trap(\"Invalid order\")\n };\n previous := next\n }\n }\n }\n }\n }\n };\n checkIteration(values(self), #less);\n checkIteration(reverseValues(self), #greater)\n };\n\n /// Generate a textual representation of all the elements in the set.\n /// Primarily to be used for testing and debugging.\n /// The elements are formatted according to `elementFormat`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// assert Set.toText(set, Nat.toText) == \"Set{0, 1, 2, 3}\"\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `elementFormat` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func toText(self : Set, toText : (implicit : T -> Text)) : Text {\n var text = \"Set{\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # toText(element);\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Compare two sets by comparing the elements.\n /// Both sets must have been created by the same comparison function.\n /// The two sets are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `set1` is less than `set2` if:\n /// * the pairwise iteration hits an element pair `element1` and `element2` where\n /// `element1` is less than `element2` and all preceding elements are equal, or,\n /// * `set1` is a strict prefix of `set2`, i.e. `set2` has more elements than `set1`\n /// and all elements of `set1` occur at the beginning of iteration `set2`.\n /// Equal:\n /// `set1` and `set2` have same series of equal elements by pairwise iteration.\n /// Greater:\n /// `set1` is neither less nor equal `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1].values(), Nat.compare);\n /// let set2 = Set.fromIter([0, 2].values(), Nat.compare);\n ///\n /// assert Set.compare(set1, set2, Nat.compare) == #less;\n /// assert Set.compare(set1, set1, Nat.compare) == #equal;\n /// assert Set.compare(set2, set1, Nat.compare) == #greater;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `compare` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n };\n\n func leafElements({ data } : Leaf) : Types.Iter {\n var i : Nat = 0;\n object {\n public func next() : ?T {\n if (i >= data.count) {\n null\n } else {\n let res = data.elements[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func leafElementsFrom({ data } : Leaf, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n var i = switch (BinarySearch.binarySearchNode(data.elements, compare, element, data.count)) {\n case (#elementFound(i)) i;\n case (#notFound(i)) i\n };\n object {\n public func next() : ?T {\n if (i >= data.count) {\n null\n } else {\n let res = data.elements[i];\n i += 1;\n res\n }\n }\n }\n };\n\n func reverseLeafElements({ data } : Leaf) : Types.Iter {\n var i : Nat = data.count;\n object {\n public func next() : ?T {\n if (i == 0) {\n null\n } else {\n let res = data.elements[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n func reverseLeafElementsFrom({ data } : Leaf, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n var i = switch (BinarySearch.binarySearchNode(data.elements, compare, element, data.count)) {\n case (#elementFound(i)) i + 1; // +1 to include this element\n case (#notFound(i)) i // i is the index of the first element greater than the search element, or count if all elements are less than the search element\n };\n object {\n public func next() : ?T {\n if (i == 0) {\n null\n } else {\n let res = data.elements[i - 1];\n i -= 1;\n res\n }\n }\n }\n };\n\n // Cursor type that keeps track of the current node and the current element index in the node\n type NodeCursor = { node : Node; elementIndex : Nat };\n\n func internalElements(internal : Internal) : Types.Iter {\n // The nodeCursorStack keeps track of the current node and the current element index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeForwardNodeCursorStack(internal);\n internalElementsFromStack(nodeCursorStack)\n };\n\n func internalElementsFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n let nodeCursorStack = initializeForwardNodeCursorStackFrom(internal, compare, element);\n internalElementsFromStack(nodeCursorStack)\n };\n\n func internalElementsFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter {\n object {\n public func next() : ?T {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; elementIndex }) {\n switch (node) {\n // if a leaf node, iterate through the leaf node's next element\n case (#leaf(leafNode)) {\n let lastIndex = leafNode.data.count - 1 : Nat;\n if (elementIndex > lastIndex) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), leaf elementIndex out of bounds\")\n };\n\n let currentElement = switch (leafNode.data.elements[elementIndex]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), null element found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n // if not at the last element, push the next element index of the leaf onto the stack and return the current element\n if (elementIndex < lastIndex) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n elementIndex = elementIndex + 1 : Nat\n }\n )\n };\n\n ?currentElement\n };\n // if an internal node\n case (#internal(internalNode)) {\n let lastIndex = internalNode.data.count - 1 : Nat;\n // Developer facing message in case of a bug\n if (elementIndex > lastIndex) {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), internal elementIndex out of bounds\")\n };\n\n let currentElement = switch (internalNode.data.elements[elementIndex]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.internalElements(), null element found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n\n let nextCursor = {\n node = #internal(internalNode);\n elementIndex = elementIndex + 1 : Nat\n };\n // if not the last element, push the next element of the internal node onto the stack\n if (elementIndex < lastIndex) {\n Stack.push(nodeCursorStack, nextCursor)\n };\n // traverse the next child's min subtree and push the resulting node cursors onto the stack\n // then return the current element of the internal node\n traverseMinSubtreeIter(nodeCursorStack, nextCursor);\n ?currentElement\n }\n }\n }\n }\n }\n }\n };\n\n func reverseInternalElements(internal : Internal) : Types.Iter {\n // The nodeCursorStack keeps track of the current node and the current element index in the node\n // We use a stack here to push to/pop off the next node cursor to visit\n let nodeCursorStack = initializeReverseNodeCursorStack(internal);\n reverseInternalElementsFromStack(nodeCursorStack)\n };\n\n func reverseInternalElementsFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Types.Iter {\n let nodeCursorStack = initializeReverseNodeCursorStackFrom(internal, compare, element);\n reverseInternalElementsFromStack(nodeCursorStack)\n };\n\n func reverseInternalElementsFromStack(nodeCursorStack : Stack.Stack>) : Types.Iter {\n object {\n public func next() : ?T {\n // pop the next node cursor off the stack\n var nodeCursor = Stack.pop(nodeCursorStack);\n switch (nodeCursor) {\n case null { return null };\n case (?{ node; elementIndex }) {\n let firstIndex = 0 : Nat;\n assert (elementIndex > firstIndex);\n switch (node) {\n // if a leaf node, reverse iterate through the leaf node's next element\n case (#leaf(leafNode)) {\n let currentElement = switch (leafNode.data.elements[elementIndex - 1]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.reverseInternalElements(), null element found in leaf node.\"\n # \"leafNode.data.count=\" # debug_show (leafNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n // if not at the last element, push the previous element index of the leaf onto the stack and return the current element\n if (elementIndex - 1 : Nat > firstIndex) {\n Stack.push(\n nodeCursorStack,\n {\n node = #leaf(leafNode);\n elementIndex = elementIndex - 1 : Nat\n }\n )\n };\n\n // return the current element\n ?currentElement\n };\n // if an internal node\n case (#internal(internalNode)) {\n let currentElement = switch (internalNode.data.elements[elementIndex - 1]) {\n case (?element) { element };\n case null {\n Runtime.trap(\n \"UNREACHABLE_ERROR: file a bug report! In Set.reverseInternalElements(), null element found in internal node. \" #\n \"internal.data.count=\" # debug_show (internalNode.data.count) # \", elementIndex=\" # debug_show (elementIndex)\n )\n }\n };\n\n let previousCursor = {\n node = #internal(internalNode);\n elementIndex = elementIndex - 1 : Nat\n };\n // if not the first element, push the previous element index of the internal node onto the stack\n if (elementIndex - 1 : Nat > firstIndex) {\n Stack.push(nodeCursorStack, previousCursor)\n };\n // traverse the previous child's max subtree and push the resulting node cursors onto the stack\n // then return the current element of the internal node\n traverseMaxSubtreeIter(nodeCursorStack, previousCursor);\n ?currentElement\n }\n }\n }\n }\n }\n }\n };\n\n func initializeForwardNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = 0\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMinSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeForwardNodeCursorStackFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = 0\n };\n\n traverseMinSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, element);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStack(internal : Internal) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = internal.data.count\n };\n\n // push the initial cursor to the stack\n Stack.push(nodeCursorStack, nodeCursor);\n // then traverse left\n traverseMaxSubtreeIter(nodeCursorStack, nodeCursor);\n nodeCursorStack\n };\n\n func initializeReverseNodeCursorStackFrom(internal : Internal, compare : (T, T) -> Order.Order, element : T) : Stack.Stack> {\n let nodeCursorStack = Stack.empty>();\n let nodeCursor : NodeCursor = {\n node = #internal(internal);\n elementIndex = internal.data.count\n };\n\n traverseMaxSubtreeIterFrom(nodeCursorStack, nodeCursor, compare, element);\n nodeCursorStack\n };\n\n // traverse the min subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMinSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.elementIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the minimum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's left most child to the stack and continue traversing\n case (#internal(internalNode)) {\n switch (internalNode.children[childIndex]) {\n // Push the next min (left most) child node to the stack\n case (?childNode) {\n childIndex := 0;\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMinSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMinSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (T, T) -> Order.Order, element : T) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getElementIndex(node.data, compare, element)) {\n case (#elementFound(i)) (i, true);\n case (#notFound(i)) (i, false)\n };\n if (i < node.data.count) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = i // greater elements to traverse\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMinSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // traverse the max subtree of the current node cursor, passing each new element to the node cursor stack\n func traverseMaxSubtreeIter(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor) {\n var currentNode = nodeCursor.node;\n var childIndex = nodeCursor.elementIndex;\n\n label l loop {\n switch (currentNode) {\n // If currentNode is leaf, have hit the maximum element of the subtree and already pushed it's cursor to the stack\n // so can return\n case (#leaf(_)) {\n return\n };\n // If currentNode is internal, add it's right most child to the stack and continue traversing\n case (#internal(internalNode)) {\n assert (childIndex <= internalNode.data.count); // children are one more than data elements\n switch (internalNode.children[childIndex]) {\n // Push the next max (right most) child node to the stack\n case (?childNode) {\n childIndex := switch (childNode) {\n case (#internal(internalNode)) internalNode.data.count;\n case (#leaf(leafNode)) leafNode.data.count\n };\n currentNode := childNode;\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = childIndex\n }\n )\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMaxSubtreeIter(), null child node error\")\n }\n }\n }\n }\n }\n };\n\n func traverseMaxSubtreeIterFrom(nodeCursorStack : Stack.Stack>, nodeCursor : NodeCursor, compare : (T, T) -> Order.Order, element : T) {\n var currentNode = nodeCursor.node;\n\n label l loop {\n let (node, childrenOption) = switch (currentNode) {\n case (#leaf(leafNode)) (leafNode, null);\n case (#internal(internalNode)) (internalNode, ?internalNode.children)\n };\n let (i, isFound) = switch (NodeUtil.getElementIndex(node.data, compare, element)) {\n case (#elementFound(i)) (i + 1, true); // +1 to include this element\n case (#notFound(i)) (i, false) // i is the index of the first element less than the search element, or 0 if all elements are greater than the search element\n };\n if (i > 0) {\n Stack.push(\n nodeCursorStack,\n {\n node = currentNode;\n elementIndex = i\n }\n )\n };\n if isFound return;\n let ?children = childrenOption else return;\n let ?childNode = children[i] else Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.traverseMaxSubtreeIterFrom(), null child node error\");\n currentNode := childNode\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInternalDeleteResult = {\n // element was deleted\n #deleted;\n // element was absent\n #inexistent;\n // deleted an element, but was unable to successfully borrow and rebalance at the previous level without merging children\n // the internalChild is the merged child that needs to be rebalanced at the next level up in the BTree\n #mergeChild : {\n internalChild : Internal\n }\n };\n\n func internalDeleteHelper(internalNode : Internal, order : Nat, compare : (T, T) -> Order.Order, deleteElement : T, skipNode : Bool) : IntermediateInternalDeleteResult {\n let minElements = NodeUtil.minElementsFromOrder(order);\n let elementIndex = NodeUtil.getElementIndex(internalNode.data, compare, deleteElement);\n\n // match on both the result of the node binary search, and if this node level should be skipped even if the element is found (internal element replacement case)\n switch (elementIndex, skipNode) {\n // if element is found in the internal node\n case (#elementFound(deleteIndex), false) {\n if (Option.isNull(internalNode.data.elements[deleteIndex])) {\n Runtime.trap(\"Bug in Set.internalDeleteHelper\")\n };\n // TODO: (optimization) replace with deletion in one step without having to retrieve the max element first\n let replaceElement = NodeUtil.getMaxElement(internalNode.children[deleteIndex]);\n internalNode.data.elements[deleteIndex] := ?replaceElement;\n switch (internalDeleteHelper(internalNode, order, compare, replaceElement, true)) {\n case (#deleted) { #deleted };\n case (#inexistent) { #inexistent };\n case (#mergeChild({ internalChild })) {\n #mergeChild({ internalChild })\n }\n }\n };\n // if element is not found in the internal node OR the element is found, but skipping this node (because deleting the in order precessor i.e. replacement element)\n // in both cases need to descend and traverse to find the element to delete\n case ((#elementFound(_), true) or (#notFound(_), _)) {\n let childIndex = switch (elementIndex) {\n case (#elementFound(replacedSkipElementIndex)) {\n replacedSkipElementIndex\n };\n case (#notFound(childIndex)) { childIndex }\n };\n let child = switch (internalNode.children[childIndex]) {\n case (?c) { c };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalDeleteHelper, child index of #elementFound or #notfound is null\")\n }\n };\n switch (child) {\n // if child is internal\n case (#internal(internalChild)) {\n switch (internalDeleteHelper(internalChild, order, compare, deleteElement, false), childIndex == 0) {\n // if element was successfully deleted and no additional tree re-balancing is needed, return #deleted\n case (#deleted, _) { #deleted };\n case (#inexistent, _) { #inexistent };\n // if internalChild needs rebalancing and pulling child is left most\n case (#mergeChild({ internalChild }), true) {\n // try to pull left-most element and child from right sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex + 1, #successor)) {\n // if can pull up sibling element and child\n case (#borrowed({ deletedSiblingElement; child })) {\n NodeUtil.rotateBorrowedElementsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingElement,\n child,\n internalChild,\n #right\n );\n #deleted\n };\n // unable to pull from sibling, need to merge with right sibling and push down parent\n case (#notEnoughElements(sibling)) {\n // get the parent element that will be pushed down the the child\n let elementsToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.elements, 0);\n internalNode.data.count -= 1;\n // merge the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(internalChild, elementsToBePushedToChild, sibling);\n // update children of the parent\n internalNode.children[0] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, 1);\n\n if (internalNode.data.count < minElements) {\n #mergeChild({ internalChild = internalNode })\n } else {\n #deleted\n }\n }\n }\n };\n // if internalChild needs rebalancing and pulling child is > 0, so a left sibling exists\n case (#mergeChild({ internalChild }), false) {\n // try to pull right-most element and its child directly from left sibling\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex - 1 : Nat, #predecessor)) {\n case (#borrowed({ deletedSiblingElement; child })) {\n NodeUtil.rotateBorrowedElementsAndChildFromSibling(\n internalNode,\n childIndex - 1 : Nat,\n deletedSiblingElement,\n child,\n internalChild,\n #left\n );\n #deleted\n };\n // unable to pull from left sibling\n case (#notEnoughElements(leftSibling)) {\n // if child is not last index, try to pull from the right child\n if (childIndex < internalNode.data.count) {\n switch (NodeUtil.borrowFromInternalSibling(internalNode.children, childIndex, #successor)) {\n // if can pull up sibling element and child\n case (#borrowed({ deletedSiblingElement; child })) {\n NodeUtil.rotateBorrowedElementsAndChildFromSibling(\n internalNode,\n childIndex,\n deletedSiblingElement,\n child,\n internalChild,\n #right\n );\n return #deleted\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // get the parent element that will be pushed down the the child\n let elementToBePushedToChild = ?BTreeHelper.deleteAndShift(internalNode.data.elements, childIndex - 1 : Nat);\n internalNode.data.count -= 1;\n // merge it the children and push down the parent\n let newChild = NodeUtil.mergeChildrenAndPushDownParent(leftSibling, elementToBePushedToChild, internalChild);\n\n // update children of the parent\n internalNode.children[childIndex - 1] := ?#internal(newChild);\n ignore ?BTreeHelper.deleteAndShift(internalNode.children, childIndex);\n\n if (internalNode.data.count < minElements) {\n #mergeChild({ internalChild = internalNode })\n } else {\n #deleted\n }\n }\n }\n }\n }\n };\n // if child is leaf\n case (#leaf(leafChild)) {\n switch (leafDeleteHelper(leafChild, order, compare, deleteElement), childIndex == 0) {\n case (#deleted, _) { #deleted };\n case (#inexistent, _) { #inexistent };\n // if delete child is left most, try to borrow from right child\n case (#mergeLeafData({ leafDeleteIndex }), true) {\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedElement) {\n let elementToBePushedToChild = internalNode.data.elements[childIndex];\n internalNode.data.elements[childIndex] := ?borrowedElement;\n\n ignore BTreeHelper.insertAtPostionAndDeleteAtPosition(leafChild.data.elements, elementToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n #deleted\n };\n\n case null {\n // can't borrow from right child, delete from leaf and merge with right child and parent element, then push down into new leaf\n let rightChild = switch (internalNode.children[childIndex + 1]) {\n case (?#leaf(rc)) { rc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalDeleteHelper, if trying to borrow from right leaf child is null, rightChild index cannot be null or internal\")\n }\n };\n let mergedLeaf = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.elements[childIndex],\n leafChild,\n rightChild,\n leafDeleteIndex,\n #left\n );\n // delete the left most internal node element, since was merging from a deletion in left most child (0) and the parent element was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift(internalNode.data.elements, 0);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), 0);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minElements) {\n #mergeChild({\n internalChild = internalNode\n })\n } else {\n #deleted\n }\n\n }\n }\n };\n // if delete child is middle or right most, try to borrow from left child\n case (#mergeLeafData({ leafDeleteIndex }), false) {\n // if delete child is right most, try to borrow from left child\n switch (NodeUtil.borrowFromLeftLeafChild(internalNode.children, childIndex)) {\n case (?borrowedElement) {\n let elementToBePushedToChild = internalNode.data.elements[childIndex - 1];\n internalNode.data.elements[childIndex - 1] := ?borrowedElement;\n ignore BTreeHelper.insertAtPostionAndDeleteAtPosition(leafChild.data.elements, elementToBePushedToChild, 0, leafDeleteIndex);\n #deleted\n };\n case null {\n // if delete child is in the middle, try to borrow from right child\n if (childIndex < internalNode.data.count) {\n // try to borrow from right\n switch (NodeUtil.borrowFromRightLeafChild(internalNode.children, childIndex)) {\n case (?borrowedElement) {\n let elementToBePushedToChild = internalNode.data.elements[childIndex];\n internalNode.data.elements[childIndex] := ?borrowedElement;\n // insert the successor at the very last element\n ignore BTreeHelper.insertAtPostionAndDeleteAtPosition(leafChild.data.elements, elementToBePushedToChild, leafChild.data.count - 1, leafDeleteIndex);\n return #deleted\n };\n // if cannot borrow, from left or right, merge (see below)\n case _ {}\n }\n };\n\n // can't borrow from left child, delete from leaf and merge with left child and parent element, then push down into new leaf\n let leftChild = switch (internalNode.children[childIndex - 1]) {\n case (?#leaf(lc)) { lc };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.internalDeleteHelper, if trying to borrow from left leaf child is null, then left child index must not be null or internal\")\n }\n };\n let mergedLeaf = mergeParentWithLeftRightChildLeafNodesAndDelete(\n internalNode.data.elements[childIndex - 1],\n leftChild,\n leafChild,\n leafDeleteIndex,\n #right\n );\n // delete the right most internal node element, since was merging from a deletion in the right most child and the parent element was pushed into the mergedLeaf\n ignore BTreeHelper.deleteAndShift(internalNode.data.elements, childIndex - 1);\n // update internal node children\n BTreeHelper.replaceTwoWithElementAndShift>(internalNode.children, #leaf(mergedLeaf), childIndex - 1);\n internalNode.data.count -= 1;\n\n if (internalNode.data.count < minElements) {\n #mergeChild({\n internalChild = internalNode\n })\n } else {\n #deleted\n }\n }\n }\n }\n }\n }\n }\n }\n }\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateLeafDeleteResult = {\n // element was deleted\n #deleted;\n // element was absent\n #inexistent;\n // leaf had the minimum number of elements when deleting, so returns the leaf node's data and the index of the element that will be deleted\n #mergeLeafData : {\n data : Data;\n leafDeleteIndex : Nat\n }\n };\n\n func leafDeleteHelper(leafNode : Leaf, order : Nat, compare : (T, T) -> Order.Order, deleteElement : T) : IntermediateLeafDeleteResult {\n let minElements = NodeUtil.minElementsFromOrder(order);\n\n switch (NodeUtil.getElementIndex(leafNode.data, compare, deleteElement)) {\n case (#elementFound(deleteIndex)) {\n if (leafNode.data.count > minElements) {\n leafNode.data.count -= 1;\n ignore BTreeHelper.deleteAndShift(leafNode.data.elements, deleteIndex);\n #deleted\n } else {\n #mergeLeafData({\n data = leafNode.data;\n leafDeleteIndex = deleteIndex\n })\n }\n };\n case (#notFound(_)) {\n #inexistent\n }\n }\n };\n\n func containsInInternal(internalNode : Internal, compare : (T, T) -> Order.Order, element : T) : Bool {\n switch (NodeUtil.getElementIndex(internalNode.data, compare, element)) {\n case (#elementFound _index) {\n true\n };\n case (#notFound(index)) {\n switch (internalNode.children[index]) {\n // expects the child to be there, otherwise there's a bug in binary search or the tree is invalid\n case null { Runtime.trap(\"Internal bug: Set.containsInInternal\") };\n case (?#leaf(leafNode)) { containsInLeaf(leafNode, compare, element) };\n case (?#internal(internalNode)) {\n containsInInternal(internalNode, compare, element)\n }\n }\n }\n }\n };\n\n func containsInLeaf(leafNode : Leaf, compare : (T, T) -> Order.Order, element : T) : Bool {\n switch (NodeUtil.getElementIndex(leafNode.data, compare, element)) {\n case (#elementFound(_index)) {\n true\n };\n case _ false\n }\n };\n\n type DeletionSide = { #left; #right };\n\n func mergeParentWithLeftRightChildLeafNodesAndDelete(\n parentElement : ?T,\n leftChild : Leaf,\n rightChild : Leaf,\n deleteIndex : Nat,\n deletionSide : DeletionSide\n ) : Leaf {\n let count = leftChild.data.count * 2;\n let (elements, _) = BTreeHelper.mergeParentWithChildrenAndDelete(\n parentElement,\n leftChild.data.count,\n leftChild.data.elements,\n rightChild.data.elements,\n deleteIndex,\n deletionSide\n );\n ({\n data = {\n elements;\n var count = count\n }\n })\n };\n\n // This type is used to signal to the parent calling context what happened in the level below\n type IntermediateInsertResult = {\n // element was inserted\n #inserted;\n // element was alreay present\n #existent;\n // child was full when inserting, so returns the promoted element and the split left and right child\n #promote : {\n element : T;\n leftChild : Node;\n rightChild : Node\n }\n };\n\n // Helper for inserting into a leaf node\n func leafInsertHelper(leafNode : Leaf, order : Nat, compare : (T, T) -> Order.Order, insertedElement : T) : (IntermediateInsertResult) {\n // Perform binary search to see if the element exists in the node\n switch (NodeUtil.getElementIndex(leafNode.data, compare, insertedElement)) {\n case (#elementFound(insertIndex)) {\n let previous = leafNode.data.elements[insertIndex];\n leafNode.data.elements[insertIndex] := ?insertedElement;\n switch (previous) {\n case (?_) { #existent };\n case null { Runtime.trap(\"Bug in Set.leafInsertHelper\") }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxElements : Nat = order - 1;\n // If the leaf is full, insert, split the node, and promote the middle element\n if (leafNode.data.count >= maxElements) {\n let (leftElements, promotedParentElement, rightElements) = BTreeHelper.insertOneAtIndexAndSplitArray(\n leafNode.data.elements,\n insertedElement,\n insertIndex\n );\n\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n (\n #promote({\n element = promotedParentElement;\n leftChild = createLeaf(leftElements, leftCount);\n rightChild = createLeaf(rightElements, rightCount)\n })\n )\n }\n // Otherwise, insert at the specified index (shifting elements over if necessary)\n else {\n NodeUtil.insertAtIndexOfNonFullNodeData(leafNode.data, ?insertedElement, insertIndex);\n #inserted\n }\n }\n }\n };\n\n // Helper for inserting into an internal node\n func internalInsertHelper(internalNode : Internal, order : Nat, compare : (T, T) -> Order.Order, insertElement : T) : IntermediateInsertResult {\n switch (NodeUtil.getElementIndex(internalNode.data, compare, insertElement)) {\n case (#elementFound(insertIndex)) {\n let previous = internalNode.data.elements[insertIndex];\n internalNode.data.elements[insertIndex] := ?insertElement;\n switch (previous) {\n case (?_) { #existent };\n case null {\n Runtime.trap(\"Bug in Set.internalInsertHelper, element found\")\n }; // the binary search already found an element, so this case should never happen\n }\n };\n case (#notFound(insertIndex)) {\n let insertResult = switch (internalNode.children[insertIndex]) {\n case null {\n Runtime.trap(\"Bug in Set.internalInsertHelper, not found\")\n };\n case (?#leaf(leafNode)) {\n leafInsertHelper(leafNode, order, compare, insertElement)\n };\n case (?#internal(internalChildNode)) {\n internalInsertHelper(internalChildNode, order, compare, insertElement)\n }\n };\n\n switch (insertResult) {\n case (#inserted) #inserted;\n case (#existent) #existent;\n case (#promote({ element = promotedElement; leftChild; rightChild })) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n let maxElements : Nat = order - 1;\n // if current internal node is full, need to split the internal node\n if (internalNode.data.count >= maxElements) {\n // insert and split internal elements, determine new promotion target element\n let (leftElements, promotedParentElement, rightElements) = BTreeHelper.insertOneAtIndexAndSplitArray(\n internalNode.data.elements,\n promotedElement,\n insertIndex\n );\n\n // calculate the element count in the left elements and the element count in the right elements\n let leftCount = order / 2;\n let rightCount : Nat = if (order % 2 == 0) { leftCount - 1 } else {\n leftCount\n };\n\n // split internal children\n let (leftChildren, rightChildren) = NodeUtil.splitChildrenInTwoWithRebalances(\n internalNode.children,\n insertIndex,\n leftChild,\n rightChild\n );\n\n // send the element to be promoted, as well as the internal children left and right split\n #promote({\n element = promotedParentElement;\n leftChild = #internal({\n data = { elements = leftElements; var count = leftCount };\n children = leftChildren\n });\n rightChild = #internal({\n data = { elements = rightElements; var count = rightCount };\n children = rightChildren\n })\n })\n } else {\n // insert the new elements into the internal node\n NodeUtil.insertAtIndexOfNonFullNodeData(internalNode.data, ?promotedElement, insertIndex);\n // split and re-insert the single child that needs rebalancing\n NodeUtil.insertRebalancedChild(internalNode.children, insertIndex, leftChild, rightChild);\n #inserted\n }\n }\n }\n }\n }\n };\n\n func createLeaf(elements : [var ?T], count : Nat) : Node {\n #leaf({\n data = {\n elements;\n var count\n }\n })\n };\n\n // FIXME\n // Additional functionality compared to original source.\n\n func cloneData(data : Data) : Data {\n {\n elements = VarArray.clone(data.elements);\n var count = data.count\n }\n };\n\n func cloneNode(node : Node) : Node {\n switch node {\n case (#leaf { data }) {\n #leaf { data = cloneData(data) }\n };\n case (#internal { data; children }) {\n let clonedData = cloneData(data);\n let clonedChildren = VarArray.map, ?Node>(\n children,\n func child {\n switch child {\n case null null;\n case (?childNode) ?cloneNode(childNode)\n }\n }\n );\n #internal({\n data = clonedData;\n children = clonedChildren\n })\n }\n }\n };\n\n module BinarySearch {\n public type SearchResult = {\n #elementFound : Nat;\n #notFound : Nat\n };\n\n /// Searches an array for a specific element, returning the index it occurs at if #elementFound, or the child/insert index it may occur at\n /// if #notFound. This is used when determining if a element exists in an internal or leaf node, where an element should be inserted in a\n /// leaf node, or which child of an internal node a element could be in.\n ///\n /// Note: This function expects a mutable, nullable, array of elements in sorted order, where all nulls appear at the end of the array.\n /// This function may trap if a null element appears before any elements. It also expects a maxIndex, which is the right-most index (bound)\n /// from which to begin the binary search (the left most bound is expected to be 0)\n ///\n /// Parameters:\n ///\n /// * array - the sorted array that the binary search is performed upon\n /// * compare - the comparator used to perform the search\n /// * searchElement - the element being compared against in the search\n /// * maxIndex - the right-most index (bound) from which to begin the search\n public func binarySearchNode(array : [var ?T], compare : (T, T) -> Order.Order, searchElement : T, maxIndex : Nat) : SearchResult {\n // TODO: get rid of this check?\n // Trap if array is size 0 (should not happen)\n if (array.size() == 0) {\n assert false\n };\n\n // if all elements in the array are null (i.e. first element is null), return #notFound(0)\n if (maxIndex == 0) {\n return #notFound(0)\n };\n\n // Initialize search from first to last index\n var left : Nat = 0;\n var right = maxIndex; // maxIndex does not necessarily mean array.size() - 1\n // Search the array\n while (left < right) {\n let middle = (left + right) / 2;\n switch (array[middle]) {\n case null { assert false };\n case (?element) {\n switch (compare(searchElement, element)) {\n // If the element is present at the middle itself\n case (#equal) { return #elementFound(middle) };\n // If element is greater than mid, it can only be present in left subarray\n case (#greater) { left := middle + 1 };\n // If element is smaller than mid, it can only be present in right subarray\n case (#less) {\n right := if (middle == 0) { 0 } else { middle - 1 }\n }\n }\n }\n }\n };\n\n if (left == array.size()) {\n return #notFound(left)\n };\n\n // left == right\n switch (array[left]) {\n // inserting at end of array\n case null { #notFound(left) };\n case (?element) {\n switch (compare(searchElement, element)) {\n // if left is the searched element\n case (#equal) { #elementFound(left) };\n // if the element is not found, return notFound and the insert location\n case (#greater) { #notFound(left + 1) };\n case (#less) { #notFound(left) }\n }\n }\n }\n }\n };\n\n module NodeUtil {\n /// Inserts element at the given index into a non-full leaf node\n public func insertAtIndexOfNonFullNodeData(data : Data, element : ?T, insertIndex : Nat) {\n let currentLastElementIndex : Nat = if (data.count == 0) { 0 } else {\n data.count - 1\n };\n BTreeHelper.insertAtPosition(data.elements, element, insertIndex, currentLastElementIndex);\n\n // increment the count of data in this node since just inserted an element\n data.count += 1\n };\n\n /// Inserts two rebalanced (split) child halves into a non-full array of children.\n public func insertRebalancedChild(children : [var ?Node], rebalancedChildIndex : Nat, leftChildInsert : Node, rightChildInsert : Node) {\n // Note: BTree will always have an order >= 4, so this will never have negative Nat overflow\n var j : Nat = children.size() - 2;\n\n // This is just a sanity check to ensure the children aren't already full (should split promote otherwise)\n // TODO: Remove this check once confident\n if (Option.isSome(children[j + 1])) { assert false };\n\n // Iterate backwards over the array and shift each element over to the right by one until the rebalancedChildIndex is hit\n while (j > rebalancedChildIndex) {\n children[j + 1] := children[j];\n j -= 1\n };\n\n // Insert both the left and right rebalanced children (replacing the pre-split child)\n children[j] := ?leftChildInsert;\n children[j + 1] := ?rightChildInsert\n };\n\n /// Used when splitting the children of an internal node\n ///\n /// Takes in the rebalanced child index, as well as both halves of the rebalanced child and splits the children, inserting the left and right child halves appropriately\n ///\n /// For more context, see the documentation for the splitArrayAndInsertTwo method in ArrayUtils.mo\n public func splitChildrenInTwoWithRebalances(\n children : [var ?Node],\n rebalancedChildIndex : Nat,\n leftChildInsert : Node,\n rightChildInsert : Node\n ) : ([var ?Node], [var ?Node]) {\n BTreeHelper.splitArrayAndInsertTwo>(children, rebalancedChildIndex, leftChildInsert, rightChildInsert)\n };\n\n /// Helper used to get the element index of of a element within a node\n ///\n /// for more, see the BinarySearch.binarySearchNode() documentation\n public func getElementIndex(data : Data, compare : (T, T) -> Order.Order, element : T) : BinarySearch.SearchResult {\n BinarySearch.binarySearchNode(data.elements, compare, element, data.count)\n };\n\n // calculates a BTree Node's minimum allowed elements given the order of the BTree\n public func minElementsFromOrder(order : Nat) : Nat {\n if (order % 2 == 0) { order / 2 - 1 } else { order / 2 }\n };\n\n // Given a node, get the maximum element (right most leaf element)\n public func getMaxElement(node : ?Node) : T {\n switch (node) {\n case (?#leaf({ data })) {\n switch (data.elements[data.count - 1]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.getMaxElement, data cannot have more elements than it's count\")\n };\n case (?element) { element }\n }\n };\n case (?#internal({ data; children })) {\n getMaxElement(children[data.count])\n };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.getMaxElement, the node provided cannot be null\")\n }\n }\n };\n\n type InorderBorrowType = {\n #predecessor;\n #successor\n };\n\n // attempts to retrieve the in max element of the child leaf node directly to the left if the node will allow it\n // returns the deleted max element if able to retrieve, null if not able\n //\n // mutates the predecessing node's elements\n public func borrowFromLeftLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?T {\n let predecessorIndex : Nat = ofChildIndex - 1;\n borrowFromLeafChild(children, predecessorIndex, #predecessor)\n };\n\n // attempts to retrieve the in max element of the child leaf node directly to the right if the node will allow it\n // returns the deleted max element if able to retrieve, null if not able\n //\n // mutates the predecessing node's elements\n public func borrowFromRightLeafChild(children : [var ?Node], ofChildIndex : Nat) : ?T {\n borrowFromLeafChild(children, ofChildIndex + 1, #successor)\n };\n\n func borrowFromLeafChild(children : [var ?Node], borrowChildIndex : Nat, childSide : InorderBorrowType) : ?T {\n let minElements = minElementsFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#leaf({ data })) {\n if (data.count > minElements) {\n // able to borrow an element from this child, so decrement the count of elements\n data.count -= 1; // Since enforce order >= 4, there will always be at least 1 element per node\n switch (childSide) {\n case (#predecessor) {\n let deletedElement = data.elements[data.count];\n data.elements[data.count] := null;\n deletedElement\n };\n case (#successor) {\n ?BTreeHelper.deleteAndShift(data.elements, 0)\n }\n }\n } else { null }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.borrowFromLeafChild, the node at the borrow child index cannot be null or internal\")\n }\n }\n };\n\n type InternalBorrowResult = {\n #borrowed : InternalBorrow;\n #notEnoughElements : Internal\n };\n\n type InternalBorrow = {\n deletedSiblingElement : ?T;\n child : ?Node\n };\n\n // Attempts to borrow an element and child from an internal sibling node\n public func borrowFromInternalSibling(children : [var ?Node], borrowChildIndex : Nat, borrowType : InorderBorrowType) : InternalBorrowResult {\n let minElements = minElementsFromOrder(children.size());\n\n switch (children[borrowChildIndex]) {\n case (?#internal({ data; children })) {\n if (data.count > minElements) {\n data.count -= 1;\n switch (borrowType) {\n case (#predecessor) {\n let deletedSiblingElement = data.elements[data.count];\n data.elements[data.count] := null;\n let child = children[data.count + 1];\n children[data.count + 1] := null;\n #borrowed({\n deletedSiblingElement;\n child\n })\n };\n case (#successor) {\n #borrowed({\n deletedSiblingElement = ?BTreeHelper.deleteAndShift(data.elements, 0);\n child = ?BTreeHelper.deleteAndShift(children, 0)\n })\n }\n }\n } else { #notEnoughElements({ data; children }) }\n };\n case _ {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In Set.NodeUtil.borrowFromInternalSibling from internal sibling, the child at the borrow index cannot be null or a leaf\")\n }\n }\n };\n\n type SiblingSide = { #left; #right };\n\n // Rotates the borrowed elements and child from sibling side of the internal node to the internal child recipient\n public func rotateBorrowedElementsAndChildFromSibling(\n internalNode : Internal,\n parentRotateIndex : Nat,\n borrowedSiblingElement : ?T,\n borrowedSiblingChild : ?Node,\n internalChildRecipient : Internal,\n siblingSide : SiblingSide\n ) {\n // if borrowing from the left, the rotated element and child will always be inserted first\n // if borrowing from the right, the rotated element and child will always be inserted last\n let (elementIndex, childIndex) = switch (siblingSide) {\n case (#left) { (0, 0) };\n case (#right) {\n (internalChildRecipient.data.count, internalChildRecipient.data.count + 1)\n }\n };\n\n // get the parent element that will be pushed down the the child\n let elementToBePushedToChild = internalNode.data.elements[parentRotateIndex];\n // replace the parent with the sibling element\n internalNode.data.elements[parentRotateIndex] := borrowedSiblingElement;\n // push the element and child down into the internalChild\n insertAtIndexOfNonFullNodeData(internalChildRecipient.data, elementToBePushedToChild, elementIndex);\n\n BTreeHelper.insertAtPosition>(internalChildRecipient.children, borrowedSiblingChild, childIndex, internalChildRecipient.data.count)\n };\n\n // Merges the elements and children of two internal nodes, pushing the parent element in between the right and left halves\n public func mergeChildrenAndPushDownParent(leftChild : Internal, parentElement : ?T, rightChild : Internal) : Internal {\n {\n data = mergeData(leftChild.data, parentElement, rightChild.data);\n children = mergeChildren(leftChild.children, rightChild.children)\n }\n };\n\n func mergeData(leftData : Data, parentElement : ?T, rightData : Data) : Data {\n assert leftData.count <= minElementsFromOrder(leftData.elements.size() + 1);\n assert rightData.count <= minElementsFromOrder(rightData.elements.size() + 1);\n\n let mergedElements = VarArray.repeat(null, leftData.elements.size());\n var i = 0;\n while (i < leftData.count) {\n mergedElements[i] := leftData.elements[i];\n i += 1\n };\n\n mergedElements[i] := parentElement;\n i += 1;\n\n var j = 0;\n while (j < rightData.count) {\n mergedElements[i] := rightData.elements[j];\n i += 1;\n j += 1\n };\n\n {\n elements = mergedElements;\n var count = leftData.count + 1 + rightData.count\n }\n };\n\n func mergeChildren(leftChildren : [var ?Node], rightChildren : [var ?Node]) : [var ?Node] {\n let mergedChildren = VarArray.repeat>(null, leftChildren.size());\n var i = 0;\n\n while (Option.isSome(leftChildren[i])) {\n mergedChildren[i] := leftChildren[i];\n i += 1\n };\n\n var j = 0;\n while (Option.isSome(rightChildren[j])) {\n mergedChildren[i] := rightChildren[j];\n i += 1;\n j += 1\n };\n\n mergedChildren\n }\n }\n}\n"},"Func.mo":{"content":"/// Functions on functions, creating functions from simpler inputs.\n///\n/// (Most commonly used when programming in functional style using higher-order\n/// functions.)\n///\n/// Import from the core package to use this module.\n///\n/// ```motoko name=import\n/// import Func = \"mo:core/Func\";\n/// ```\n\nmodule {\n\n /// The composition of two functions `f` and `g` is a function that applies `g` and then `f`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Text \"mo:core/Text\";\n /// import Char \"mo:core/Char\";\n ///\n /// let textFromNat32 = Func.compose(Text.fromChar, Char.fromNat32);\n /// assert textFromNat32(65) == \"A\";\n /// ```\n public func compose(f : B -> C, g : A -> B) : A -> C {\n func(x : A) : C {\n f(g(x))\n }\n };\n\n /// The `identity` function returns its argument.\n /// Example:\n /// ```motoko include=import\n /// assert Func.identity(10) == 10;\n /// assert Func.identity(true) == true;\n /// ```\n public func identity(x : A) : A = x;\n\n /// The const function is a _curried_ function that accepts an argument `x`,\n /// and then returns a function that discards its argument and always returns\n /// the `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Func.const(10)(\"hello\") == 10;\n /// assert Func.const(true)(20) == true;\n /// ```\n public func const(x : A) : B -> A = func _ = x\n}\n"},"CertifiedData.mo":{"content":"/// Certified data.\n///\n/// The Internet Computer allows canister smart contracts to store a small amount of data during\n/// update method processing so that during query call processing, the canister can obtain\n/// a certificate about that data.\n///\n/// This module provides a _low-level_ interface to this API, aimed at advanced\n/// users and library implementors. See the Internet Computer Functional\n/// Specification and corresponding documentation for how to use this to make query\n/// calls to your canister tamperproof.\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Set the certified data.\n ///\n /// Must be called from an update method, else traps.\n /// Must be passed a blob of at most 32 bytes, else traps.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import CertifiedData \"mo:core/CertifiedData\";\n /// import Blob \"mo:core/Blob\";\n ///\n /// // Must be in an update call\n ///\n /// let array : [Nat8] = [1, 2, 3];\n /// let blob = Blob.fromArray(array);\n /// CertifiedData.set(blob);\n /// ```\n ///\n /// See a full example on how to use certified variables here: https://github.com/dfinity/examples/tree/master/motoko/cert-var\n ///\n public let set : (data : Blob) -> () = Prim.setCertifiedData;\n\n /// Gets a certificate\n ///\n /// Returns `null` if no certificate is available, e.g. when processing an\n /// update call or inter-canister call. This returns a non-`null` value only\n /// when processing a query call.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import CertifiedData \"mo:core/CertifiedData\";\n /// // Must be in a query call\n ///\n /// CertifiedData.getCertificate();\n /// ```\n /// See a full example on how to use certified variables here: https://github.com/dfinity/examples/tree/master/motoko/cert-var\n ///\n public let getCertificate : () -> ?Blob = Prim.getCertificate;\n\n}\n"},"Iter.mo":{"content":"/// Utilities for `Iter` (iterator) values.\n///\n/// Iterators are a way to represent sequences of values that can be lazily produced.\n/// They can be used to:\n/// - Iterate over collections.\n/// - Represent collections that are too large to fit in memory or that are produced incrementally.\n/// - Transform collections without creating intermediate collections.\n///\n/// Iterators are inherently stateful. Calling `next` \"consumes\" a value from\n/// the Iterator that cannot be put back, so keep that in mind when sharing\n/// iterators between consumers.\n///\n/// ```motoko name=import\n/// import Iter \"mo:core/Iter\";\n/// ```\n///\n///\n/// An iterator can be iterated over using a `for` loop:\n/// ```motoko\n/// let iter = [1, 2, 3].values();\n/// for (x in iter) {\n/// // do something with x...\n/// }\n/// ```\n///\n/// Iterators can be:\n/// - created from other collections (e.g. using `values` or `keys` function on a `Map`) or from scratch (e.g. using `empty` or `singleton`).\n/// - transformed using `map`, `filter`, `concat`, etc. Which can be used to compose several transformations together without materializing intermediate collections.\n/// - consumed using `forEach`, `size`, `toArray`, etc.\n/// - combined using `concat`.\n\nimport Prim \"mo:prim\";\n\nimport Array \"Array\";\nimport Order \"Order\";\nimport Runtime \"Runtime\";\nimport Types \"Types\";\nimport VarArray \"VarArray\";\n\nmodule {\n\n /// An iterator that produces values of type `T`. Calling `next` returns\n /// `null` when iteration is finished.\n ///\n /// Iterators are inherently stateful. Calling `next` \"consumes\" a value from\n /// the Iterator that cannot be put back, so keep that in mind when sharing\n /// iterators between consumers.\n ///\n /// An iterator `i` can be iterated over using\n /// ```motoko\n /// let iter = [1, 2, 3].values();\n /// for (x in iter) {\n /// // do something with x...\n /// }\n /// ```\n public type Iter = Types.Iter;\n\n /// Creates an empty iterator.\n ///\n /// ```motoko include=import\n /// for (x in Iter.empty())\n /// assert false; // This loop body will never run\n /// ```\n public func empty() : Iter {\n object {\n public func next() : ?T {\n null\n }\n }\n };\n\n /// Creates an iterator that produces a single value.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// for (x in Iter.singleton(3))\n /// sum += x;\n /// assert sum == 3;\n /// ```\n public func singleton(value : T) : Iter {\n object {\n var state = ?value;\n public func next() : ?T {\n switch state {\n case null null;\n case some {\n state := null;\n some\n }\n }\n }\n }\n };\n\n /// Calls a function `f` on every value produced by an iterator and discards\n /// the results. If you're looking to keep these results use `map` instead.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// Iter.forEach([1, 2, 3].values(), func(x) {\n /// sum += x;\n /// });\n /// assert sum == 6;\n /// ```\n public func forEach(\n self : Iter,\n f : (T) -> ()\n ) {\n label l loop {\n switch (self.next()) {\n case (?next) {\n f(next)\n };\n case (null) {\n break l\n }\n }\n }\n };\n\n /// Takes an iterator and returns a new iterator that pairs each element with its index.\n /// The index starts at 0 and increments by 1 for each element.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([\"A\", \"B\", \"C\"]);\n /// let enumerated = Iter.enumerate(iter);\n /// let result = Iter.toArray(enumerated);\n /// assert result == [(0, \"A\"), (1, \"B\"), (2, \"C\")];\n /// ```\n public func enumerate(self : Iter) : Iter<(Nat, T)> {\n object {\n var i = 0;\n public func next() : ?(Nat, T) {\n switch (self.next()) {\n case (?x) {\n let current = (i, x);\n i += 1;\n ?current\n };\n case null { null }\n }\n }\n }\n };\n\n /// Creates a new iterator that yields every nth element from the original iterator.\n /// If `interval` is 0, returns an empty iterator. If `interval` is 1, returns the original iterator.\n /// For any other positive interval, returns an iterator that skips `interval - 1` elements after each yielded element.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5, 6]);\n /// let steppedIter = Iter.step(iter, 2); // Take every 2nd element\n /// assert ?1 == steppedIter.next();\n /// assert ?3 == steppedIter.next();\n /// assert ?5 == steppedIter.next();\n /// assert null == steppedIter.next();\n /// ```\n public func step(self : Iter, n : Nat) : Iter {\n if (n == 0) {\n empty()\n } else if (n == 1) {\n self\n } else {\n object {\n public func next() : ?T {\n let item = self.next();\n var i = 1;\n while (i < n) {\n ignore self.next();\n i += 1\n };\n item\n }\n }\n }\n };\n\n /// Consumes an iterator and counts how many elements were produced (discarding them in the process).\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// assert 3 == Iter.size(iter);\n /// ```\n public func size(self : Iter) : Nat {\n var len = 0;\n forEach(self, func(x) { len += 1 });\n len\n };\n\n /// Takes a function and an iterator and returns a new iterator that lazily applies\n /// the function to every element produced by the argument iterator.\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// let mappedIter = Iter.map(iter, func (x) = x * 2);\n /// let result = Iter.toArray(mappedIter);\n /// assert result == [2, 4, 6];\n /// ```\n public func map(self : Iter, f : T -> R) : Iter = object {\n public func next() : ?R {\n switch (self.next()) {\n case (?next) {\n ?f(next)\n };\n case (null) {\n null\n }\n }\n }\n };\n\n /// Creates a new iterator that only includes elements from the original iterator\n /// for which the predicate function returns true.\n ///\n /// ```motoko include=import\n /// let iter = [1, 2, 3, 4, 5].values();\n /// let evenNumbers = Iter.filter(iter, func (x) = x % 2 == 0);\n /// let result = Iter.toArray(evenNumbers);\n /// assert result == [2, 4];\n /// ```\n public func filter(self : Iter, f : T -> Bool) : Iter = object {\n public func next() : ?T {\n loop {\n let ?x = self.next() else return null;\n if (f x) return ?x\n };\n null\n }\n };\n\n /// Creates a new iterator by applying a transformation function to each element\n /// of the original iterator. Elements for which the function returns null are\n /// excluded from the result.\n ///\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// let evenNumbers = Iter.filterMap(iter, func (x) = if (x % 2 == 0) ?x else null);\n /// let result = Iter.toArray(evenNumbers);\n /// assert result == [2];\n /// ```\n public func filterMap(self : Iter, f : T -> ?R) : Iter = object {\n public func next() : ?R {\n loop {\n let ?x = self.next() else return null;\n switch (f x) {\n case (?r) return ?r;\n case null {} // continue\n }\n }\n }\n };\n\n /// Flattens an iterator of iterators into a single iterator by concatenating the inner iterators.\n ///\n /// Possible optimization: Use `flatMap` when you need to transform elements before calling `flatten`. Example: use `flatMap(...)` instead of `flatten(map(...))`.\n /// ```motoko include=import\n /// let iter = Iter.flatten([[1, 2].values(), [3].values(), [4, 5, 6].values()].values());\n /// let result = Iter.toArray(iter);\n /// assert result == [1, 2, 3, 4, 5, 6];\n /// ```\n public func flatten(self : Iter>) : Iter = object {\n var current : Iter = empty();\n public func next() : ?T {\n loop {\n switch (current.next()) {\n case (?x) return ?x;\n case null {\n let ?next = self.next() else return null;\n current := next\n }\n }\n }\n }\n };\n\n /// Transforms every element of an iterator into an iterator and concatenates the results.\n /// ```motoko include=import\n /// let iter = Iter.flatMap([1, 3, 5].values(), func (x) = [x, x + 1].values());\n /// let result = Iter.toArray(iter);\n /// assert result == [1, 2, 3, 4, 5, 6];\n /// ```\n public func flatMap(self : Iter, f : T -> Iter) : Iter = object {\n var current : Iter = empty();\n public func next() : ?R {\n loop {\n switch (current.next()) {\n case (?x) return ?x;\n case null {\n let ?next = self.next() else return null;\n current := f(next)\n }\n }\n }\n }\n };\n\n /// Returns a new iterator that yields at most, first `n` elements from the original iterator.\n /// After `n` elements have been produced or the original iterator is exhausted,\n /// subsequent calls to `next()` will return `null`.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5]);\n /// let first3 = Iter.take(iter, 3);\n /// let result = Iter.toArray(first3);\n /// assert result == [1, 2, 3];\n /// ```\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3]);\n /// let first5 = Iter.take(iter, 5);\n /// let result = Iter.toArray(first5);\n /// assert result == [1, 2, 3]; // only 3 elements in the original iterator\n /// ```\n public func take(self : Iter, n : Nat) : Iter = object {\n var remaining = n;\n public func next() : ?T {\n if (remaining == 0) return null;\n remaining -= 1;\n self.next()\n }\n };\n\n /// Returns a new iterator that yields elements from the original iterator until the predicate function returns false.\n /// The first element for which the predicate returns false is not included in the result.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5, 4, 3, 2, 1]);\n /// let result = Iter.takeWhile(iter, func (x) = x < 4);\n /// let array = Iter.toArray(result);\n /// assert array == [1, 2, 3]; // note the difference between `takeWhile` and `filter`\n /// ```\n public func takeWhile(self : Iter, f : T -> Bool) : Iter = object {\n var done = false;\n public func next() : ?T {\n if done return null;\n let ?x = self.next() else return null;\n if (f x) return ?x;\n done := true;\n null\n }\n };\n\n /// Returns a new iterator that skips the first `n` elements from the original iterator.\n /// If the original iterator has fewer than `n` elements, the result will be an empty iterator.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5]);\n /// let skipped = Iter.drop(iter, 3);\n /// let result = Iter.toArray(skipped);\n /// assert result == [4, 5];\n /// ```\n public func drop(self : Iter, n : Nat) : Iter = object {\n var remaining = n;\n public func next() : ?T {\n while (remaining > 0) {\n let ?_ = self.next() else return null;\n remaining -= 1\n };\n self.next()\n }\n };\n\n /// Returns a new iterator that skips elements from the original iterator until the predicate function returns false.\n /// The first element for which the predicate returns false is the first element produced by the new iterator.\n ///\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3, 4, 5, 4, 3, 2, 1]);\n /// let result = Iter.dropWhile(iter, func (x) = x < 4);\n /// let array = Iter.toArray(result);\n /// assert array == [4, 5, 4, 3, 2, 1]; // notice that `takeWhile` and `dropWhile` are complementary\n /// ```\n public func dropWhile(self : Iter, f : T -> Bool) : Iter = object {\n var dropping = true;\n public func next() : ?T {\n while dropping {\n let ?x = self.next() else return null;\n if (not f x) {\n dropping := false;\n return ?x\n }\n };\n self.next()\n }\n };\n\n /// Zips two iterators into a single iterator that produces pairs of elements.\n /// The resulting iterator will stop producing elements when either of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [1, 2, 3].values();\n /// let iter2 = [\"A\", \"B\"].values();\n /// let zipped = Iter.zip(iter1, iter2);\n /// let result = Iter.toArray(zipped);\n /// assert result == [(1, \"A\"), (2, \"B\")]; // note that the third element from iter1 is not included, because iter2 is exhausted\n /// ```\n public func zip(self : Iter, other : Iter) : Iter<(A, B)> = object {\n public func next() : ?(A, B) {\n let ?x = self.next() else return null;\n let ?y = other.next() else return null;\n ?(x, y)\n }\n };\n\n /// Zips three iterators into a single iterator that produces triples of elements.\n /// The resulting iterator will stop producing elements when any of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [\"A\", \"B\"].values();\n /// let iter2 = [\"1\", \"2\", \"3\"].values();\n /// let iter3 = [\"x\", \"y\", \"z\", \"xd\"].values();\n /// let zipped = Iter.zip3(iter1, iter2, iter3);\n /// let result = Iter.toArray(zipped);\n /// assert result == [(\"A\", \"1\", \"x\"), (\"B\", \"2\", \"y\")]; // note that the unmatched elements from iter2 and iter3 are not included\n /// ```\n public func zip3(self : Iter, other1 : Iter, other2 : Iter) : Iter<(A, B, C)> = object {\n public func next() : ?(A, B, C) {\n let ?x = self.next() else return null;\n let ?y = other1.next() else return null;\n let ?z = other2.next() else return null;\n ?(x, y, z)\n }\n };\n\n /// Zips two iterators into a single iterator by applying a function to zipped pairs of elements.\n /// The resulting iterator will stop producing elements when either of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [\"A\", \"B\"].values();\n /// let iter2 = [\"1\", \"2\", \"3\"].values();\n /// let zipped = Iter.zipWith(iter1, iter2, func (a, b) = a # b);\n /// let result = Iter.toArray(zipped);\n /// assert result == [\"A1\", \"B2\"]; // note that the third element from iter2 is not included, because iter1 is exhausted\n /// ```\n public func zipWith(self : Iter, other : Iter, f : (A, B) -> R) : Iter = object {\n public func next() : ?R {\n let ?x = self.next() else return null;\n let ?y = other.next() else return null;\n ?f(x, y)\n }\n };\n\n /// Zips three iterators into a single iterator by applying a function to zipped triples of elements.\n /// The resulting iterator will stop producing elements when any of the input iterators is exhausted.\n ///\n /// ```motoko include=import\n /// let iter1 = [\"A\", \"B\"].values();\n /// let iter2 = [\"1\", \"2\", \"3\"].values();\n /// let iter3 = [\"x\", \"y\", \"z\", \"xd\"].values();\n /// let zipped = Iter.zipWith3(iter1, iter2, iter3, func (a, b, c) = a # b # c);\n /// let result = Iter.toArray(zipped);\n /// assert result == [\"A1x\", \"B2y\"]; // note that the unmatched elements from iter2 and iter3 are not included\n /// ```\n public func zipWith3(self : Iter, other1 : Iter, other2 : Iter, f : (A, B, C) -> R) : Iter = object {\n public func next() : ?R {\n let ?x = self.next() else return null;\n let ?y = other1.next() else return null;\n let ?z = other2.next() else return null;\n ?f(x, y, z)\n }\n };\n\n /// Checks if a predicate function is true for all elements produced by an iterator.\n /// It stops consuming elements from the original iterator as soon as the predicate returns false.\n ///\n /// ```motoko include=import\n /// assert Iter.all([1, 2, 3].values(), func (x) = x < 4);\n /// assert not Iter.all([1, 2, 3].values(), func (x) = x < 3);\n /// ```\n public func all(self : Iter, f : T -> Bool) : Bool {\n for (x in self) {\n if (not f x) return false\n };\n true\n };\n\n /// Checks if a predicate function is true for any element produced by an iterator.\n /// It stops consuming elements from the original iterator as soon as the predicate returns true.\n ///\n /// ```motoko include=import\n /// assert Iter.any([1, 2, 3].values(), func (x) = x == 2);\n /// assert not Iter.any([1, 2, 3].values(), func (x) = x == 4);\n /// ```\n public func any(self : Iter, f : T -> Bool) : Bool {\n for (x in self) {\n if (f x) return true\n };\n false\n };\n\n /// Finds the first element produced by an iterator for which a predicate function returns true.\n /// Returns `null` if no such element is found.\n /// It stops consuming elements from the original iterator as soon as the predicate returns true.\n ///\n /// ```motoko include=import\n /// let iter = [1, 2, 3, 4].values();\n /// assert ?2 == Iter.find(iter, func (x) = x % 2 == 0);\n /// ```\n public func find(self : Iter, f : T -> Bool) : ?T {\n for (x in self) {\n if (f x) return ?x\n };\n null\n };\n\n /// Returns the first index in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let iter = ['A', 'B', 'C', 'D'].values();\n /// let found = Iter.findIndex(iter, func(x) { x == 'C' });\n /// assert found == ?2;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : Iter, predicate : T -> Bool) : ?Nat {\n for ((index, element) in enumerate(self)) {\n if (predicate element) {\n return ?index\n }\n };\n null\n };\n\n /// Checks if an element is produced by an iterator.\n /// It stops consuming elements from the original iterator as soon as the predicate returns true.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3, 4].values();\n /// assert Iter.contains(iter, Nat.equal, 2);\n /// ```\n public func contains(self : Iter, equal : (implicit : (T, T) -> Bool), value : T) : Bool {\n for (x in self) {\n if (equal(x, value)) return true\n };\n false\n };\n\n /// Reduces an iterator to a single value by applying a function to each element and an accumulator.\n /// The accumulator is initialized with the `initial` value.\n /// It starts applying the `combine` function starting from the `initial` accumulator value and the first elements produced by the iterator.\n ///\n /// ```motoko include=import\n /// let iter = [\"A\", \"B\", \"C\"].values();\n /// let result = Iter.foldLeft(iter, \"S\", func (acc, x) = \"(\" # acc # x # \")\");\n /// assert result == \"(((SA)B)C)\";\n /// ```\n public func foldLeft(self : Iter, initial : R, combine : (R, T) -> R) : R {\n var acc = initial;\n for (x in self) {\n acc := combine(acc, x)\n };\n acc\n };\n\n /// Reduces an iterator to a single value by applying a function to each element in reverse order and an accumulator.\n /// The accumulator is initialized with the `initial` value and it is first combined with the last element produced by the iterator.\n /// It starts applying the `combine` function starting from the last elements produced by the iterator.\n ///\n /// **Performance note**: Since this function needs to consume the entire iterator to reverse it,\n /// it has to materialize the entire iterator in memory to get to the last element to start applying the `combine` function.\n /// **Use `foldLeft` or `reduce` when possible to avoid the extra memory overhead**.\n ///\n /// ```motoko include=import\n /// let iter = [\"A\", \"B\", \"C\"].values();\n /// let result = Iter.foldRight(iter, \"S\", func (x, acc) = \"(\" # x # acc # \")\");\n /// assert result == \"(A(B(CS)))\";\n /// ```\n public func foldRight(self : Iter, initial : R, combine : (T, R) -> R) : R {\n foldLeft(reverse(self), initial, func(acc, x) = combine(x, acc))\n };\n\n /// Reduces an iterator to a single value by applying a function to each element, starting with the first elements.\n /// The accumulator is initialized with the first element produced by the iterator.\n /// When the iterator is empty, it returns `null`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// assert ?6 == Iter.reduce(iter, Nat.add);\n /// ```\n public func reduce(self : Iter, combine : (T, T) -> T) : ?T {\n let ?first = self.next() else return null;\n ?foldLeft(self, first, combine)\n };\n\n /// Produces an iterator containing cumulative results of applying the `combine` operator going left to right, including the `initial` value.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// let scanned = Iter.scanLeft(iter, 0, Nat.add);\n /// let result = Iter.toArray(scanned);\n /// assert result == [0, 1, 3, 6];\n /// ```\n public func scanLeft(self : Iter, initial : R, combine : (R, T) -> R) : Iter = object {\n var acc = initial;\n var isInitial = true;\n public func next() : ?R {\n if (isInitial) {\n isInitial := false;\n return ?acc\n };\n switch (self.next()) {\n case (?x) {\n acc := combine(acc, x);\n ?acc\n };\n case null null\n }\n }\n };\n\n /// Produces an iterator containing cumulative results of applying the `combine` operator going right to left, including the `initial` value.\n ///\n /// **Performance note**: Since this function needs to consume the entire iterator to reverse it,\n /// it has to materialize the entire iterator in memory to get to the last element to start applying the `combine` function.\n /// **Use `scanLeft` when possible to avoid the extra memory overhead**.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// let scanned = Iter.scanRight(iter, 0, Nat.add);\n /// let result = Iter.toArray(scanned);\n /// assert result == [0, 3, 5, 6];\n /// ```\n public func scanRight(self : Iter, initial : R, combine : (T, R) -> R) : Iter {\n scanLeft(reverse(self), initial, func(x, acc) = combine(acc, x))\n };\n\n /// Creates an iterator that produces elements using the `step` function starting from the `initial` value.\n /// The `step` function takes the current state and returns the next element and the next state, or `null` if the iteration is finished.\n ///\n /// ```motoko include=import\n /// let iter = Iter.unfold(1, func (x) = if (x <= 3) ?(x, x + 1) else null);\n /// let result = Iter.toArray(iter);\n /// assert result == [1, 2, 3];\n /// ```\n public func unfold(initial : S, step : S -> ?(T, S)) : Iter = object {\n var state = initial;\n public func next() : ?T {\n let ?(t, next) = step(state) else return null;\n state := next;\n ?t\n }\n };\n\n // todo: unfold, iterate, cycle, range, rangeStep, rangeStepTo, rangeStepToExclusive\n\n /// Consumes an iterator and returns the first maximum element produced by the iterator.\n /// If the iterator is empty, it returns `null`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// assert ?3 == Iter.max(iter, Nat.compare);\n /// ```\n public func max(self : Iter, compare : (implicit : (T, T) -> Order.Order)) : ?T {\n reduce(\n self,\n func(a, b) {\n switch (compare(a, b)) {\n case (#less) b;\n case _ a\n }\n }\n )\n };\n\n /// Consumes an iterator and returns the first minimum element produced by the iterator.\n /// If the iterator is empty, it returns `null`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let iter = [1, 2, 3].values();\n /// assert ?1 == Iter.min(iter, Nat.compare);\n /// ```\n public func min(self : Iter, compare : (implicit : (T, T) -> Order.Order)) : ?T {\n reduce(\n self,\n func(a, b) {\n switch (compare(a, b)) {\n case (#greater) b;\n case _ a\n }\n }\n )\n };\n\n /// Creates an iterator that produces an infinite sequence of `x`.\n /// ```motoko include=import\n /// let iter = Iter.infinite(10);\n /// assert ?10 == iter.next();\n /// assert ?10 == iter.next();\n /// assert ?10 == iter.next();\n /// // ...\n /// ```\n public func infinite(item : T) : Iter = object {\n public func next() : ?T {\n ?item\n }\n };\n\n /// Takes two iterators and returns a new iterator that produces\n /// elements from the original iterators sequentally.\n /// ```motoko include=import\n /// let iter1 = [1, 2].values();\n /// let iter2 = [5, 6, 7].values();\n /// let concatenatedIter = Iter.concat(iter1, iter2);\n /// let result = Iter.toArray(concatenatedIter);\n /// assert result == [1, 2, 5, 6, 7];\n /// ```\n public func concat(self : Iter, other : Iter) : Iter {\n var aEnded : Bool = false;\n object {\n public func next() : ?T {\n if (aEnded) {\n return other.next()\n };\n switch (self.next()) {\n case (?x) ?x;\n case (null) {\n aEnded := true;\n other.next()\n }\n }\n }\n }\n };\n\n /// Creates an iterator that produces the elements of an Array in ascending index order.\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3]);\n /// assert ?1 == iter.next();\n /// assert ?2 == iter.next();\n /// assert ?3 == iter.next();\n /// assert null == iter.next();\n /// ```\n /// @deprecated M0235\n public func fromArray(array : [T]) : Iter = array.vals();\n\n /// Like `fromArray` but for Arrays with mutable elements. Captures\n /// the elements of the Array at the time the iterator is created, so\n /// further modifications won't be reflected in the iterator.\n /// @deprecated M0235\n public func fromVarArray(array : [var T]) : Iter = array.vals();\n\n /// Consumes an iterator and collects its produced elements in an Array.\n /// ```motoko include=import\n /// let iter = [1, 2, 3].values();\n /// assert [1, 2, 3] == Iter.toArray(iter);\n /// ```\n public func toArray(self : Iter) : [T] {\n // TODO: Replace implementation. This is just temporay.\n type Node = { value : T; var next : ?Node };\n var first : ?Node = null;\n var last : ?Node = null;\n var count = 0;\n\n func add(value : T) {\n let node : Node = { value; var next = null };\n switch (last) {\n case null {\n first := ?node\n };\n case (?previous) {\n previous.next := ?node\n }\n };\n last := ?node;\n count += 1\n };\n\n for (value in self) {\n add(value)\n };\n if (count == 0) {\n return []\n };\n var current = first;\n Prim.Array_tabulate(\n count,\n func(_) {\n switch (current) {\n case null Runtime.trap(\"Iter.toArray(): node must not be null\");\n case (?node) {\n current := node.next;\n node.value\n }\n }\n }\n )\n };\n\n /// Like `toArray` but for Arrays with mutable elements.\n public func toVarArray(self : Iter) : [var T] {\n Array.toVarArray(toArray(self))\n };\n\n /// Sorted iterator. Will iterate over *all* elements to sort them, necessarily.\n public func sort(self : Iter, compare : (implicit : (T, T) -> Order.Order)) : Iter {\n let array = toVarArray(self);\n VarArray.sortInPlace(array, compare);\n fromVarArray(array)\n };\n\n /// Creates an iterator that produces a given item a specified number of times.\n /// ```motoko include=import\n /// let iter = Iter.repeat(3, 2);\n /// assert ?3 == iter.next();\n /// assert ?3 == iter.next();\n /// assert null == iter.next();\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func repeat(item : T, count : Nat) : Iter = object {\n var remaining = count;\n public func next() : ?T {\n if (remaining == 0) {\n null\n } else {\n remaining -= 1;\n ?item\n }\n }\n };\n\n /// Creates a new iterator that produces elements from the original iterator in reverse order.\n /// Note: This function needs to consume the entire iterator to reverse it.\n /// ```motoko include=import\n /// let iter = Iter.fromArray([1, 2, 3]);\n /// let reversed = Iter.reverse(iter);\n /// assert ?3 == reversed.next();\n /// assert ?2 == reversed.next();\n /// assert ?1 == reversed.next();\n /// assert null == reversed.next();\n /// ```\n ///\n /// Runtime: O(n) where n is the number of elements in the iterator\n ///\n /// Space: O(n) where n is the number of elements in the iterator\n public func reverse(self : Iter) : Iter {\n var acc : Types.Pure.List = null;\n for (x in self) {\n acc := ?(x, acc)\n };\n object {\n public func next() : ?T {\n switch acc {\n case null null;\n case (?(h, t)) {\n acc := t;\n ?h\n }\n }\n }\n }\n };\n\n}\n"},"Int64.mo":{"content":"/// Utility functions on 64-bit signed integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int64 \"mo:core/Int64\";\n/// ```\n\nimport Int \"Int\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 64-bit signed integers.\n public type Int64 = Prim.Types.Int64;\n\n /// Minimum 64-bit integer value, `-2 ** 63`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.minValue == -9_223_372_036_854_775_808;\n /// ```\n public let minValue : Int64 = -9_223_372_036_854_775_808;\n\n /// Maximum 64-bit integer value, `+2 ** 63 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.maxValue == +9_223_372_036_854_775_807;\n /// ```\n public let maxValue : Int64 = 9_223_372_036_854_775_807;\n\n /// Converts a 64-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt(123_456) == (123_456 : Int);\n /// ```\n public let toInt : (self : Int64) -> Int = Prim.int64ToInt;\n\n /// Converts a signed integer with infinite precision to a 64-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt(123_456) == (+123_456 : Int64);\n /// ```\n public let fromInt : (x : Int) -> Int64 = Prim.intToInt64;\n\n /// Converts a 32-bit signed integer to a 64-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt32(-123_456) == (-123_456 : Int64);\n /// ```\n public let fromInt32 : (x : Int32) -> Int64 = Prim.int32ToInt64;\n\n /// Converts a 16-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt16(-123) == (-123 : Int64);\n /// ```\n public func fromInt16(x : Int16) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(x))\n };\n\n /// Converts an 8-bit signed integer to a 64-bit signed integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromInt8(-123) == (-123 : Int64);\n /// ```\n public func fromInt8(x : Int8) : Int64 {\n Prim.int32ToInt64(Prim.int16ToInt32(Prim.int8ToInt16(x)))\n };\n\n /// Converts a 64-bit signed integer to a 32-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt32(-123_456) == (-123_456 : Int32);\n /// ```\n public func toInt32(self : Int64) : Int32 {\n Prim.int64ToInt32(self)\n };\n\n /// Converts a 64-bit signed integer to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt16(-123) == (-123 : Int16);\n /// ```\n public func toInt16(self : Int64) : Int16 {\n Prim.int32ToInt16(Prim.int64ToInt32(self))\n };\n\n /// Converts a 64-bit signed integer to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toInt8(-123) == (-123 : Int8);\n /// ```\n public func toInt8(self : Int64) : Int8 {\n Prim.int16ToInt8(Prim.int32ToInt16(Prim.int64ToInt32(self)))\n };\n\n /// Converts a signed integer with infinite precision to a 64-bit signed integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromIntWrap(-123_456) == (-123_456 : Int64);\n /// ```\n public let fromIntWrap : Int -> Int64 = Prim.intToInt64Wrap;\n\n /// Converts an unsigned 64-bit integer to a signed 64-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.fromNat64(123_456) == (+123_456 : Int64);\n /// ```\n public let fromNat64 : Nat64 -> Int64 = Prim.nat64ToInt64;\n\n /// Converts a signed 64-bit integer to an unsigned 64-bit integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toNat64(-1) == (18_446_744_073_709_551_615 : Nat64); // underflow\n /// ```\n public let toNat64 : (self : Int64) -> Nat64 = Prim.int64ToNat64;\n\n /// Returns the Text representation of `x`. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.toText(-123456) == \"-123456\";\n /// ```\n public func toText(self : Int64) : Text {\n Int.toText(toInt(self))\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Traps when `x == -2 ** 63` (the minimum `Int64` value).\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.abs(-123456) == +123_456;\n /// ```\n public func abs(x : Int64) : Int64 {\n fromInt(Int.abs(toInt(x)))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.min(+2, -3) == -3;\n /// ```\n public func min(x : Int64, y : Int64) : Int64 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.max(+2, -3) == +2;\n /// ```\n public func max(x : Int64, y : Int64) : Int64 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int64 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int64 = -123;\n /// let b : Int64 = 123;\n /// assert not Int64.equal(a, b);\n /// ```\n public func equal(x : Int64, y : Int64) : Bool { x == y };\n\n /// Inequality function for Int64 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int64, y : Int64) : Bool { x != y };\n\n /// \"Less than\" function for Int64 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int64, y : Int64) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int64 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.lessOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int64, y : Int64) : Bool { x <= y };\n\n /// \"Greater than\" function for Int64 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.greater(-2, -3);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int64, y : Int64) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int64 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.greaterOrEqual(-2, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int64, y : Int64) : Bool {\n x >= y\n };\n\n /// General-purpose comparison function for `Int64`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3] : [Int64], Int64.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int64, y : Int64) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Traps on overflow, i.e. for `neg(-2 ** 63)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int64) : Int64 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.add(1234, 123) == +1_357;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int64.add) == -4;\n /// ```\n public func add(x : Int64, y : Int64) : Int64 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.sub(123, 100) == +23;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int64.sub) == 4;\n /// ```\n public func sub(x : Int64, y : Int64) : Int64 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.mul(123, 10) == +1_230;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int64.mul) == 6;\n /// ```\n public func mul(x : Int64, y : Int64) : Int64 { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.div(123, 10) == +12;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int64, y : Int64) : Int64 { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.rem(123, 10) == +3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int64, y : Int64) : Int64 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps on overflow/underflow and when `y < 0 or y >= 64`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.pow(2, 10) == +1_024;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int64, y : Int64) : Int64 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitnot(-256 /* 0xffff_ffff_ffff_ff00 */) == +255 // 0xff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Int64) : Int64 { ^x };\n\n /// Returns the bitwise \"and\" of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitand(0xffff, 0x00f0) == +240 // 0xf0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Int64, y : Int64) : Int64 { x & y };\n\n /// Returns the bitwise \"or\" of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitor(0xffff, 0x00f0) == +65_535 // 0xffff;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Int64, y : Int64) : Int64 { x | y };\n\n /// Returns the bitwise \"exclusive or\" of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitxor(0xffff, 0x00f0) == +65_295 // 0xff0f;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Int64, y : Int64) : Int64 { x ^ y };\n\n /// Returns the bitwise left shift of `x` by `y`, `x << y`.\n /// The right bits of the shift filled with zeros.\n /// Left-overflowing bits, including the sign bit, are discarded.\n ///\n /// For `y >= 64`, the semantics is the same as for `bitshiftLeft(x, y % 64)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftLeft(x, y + y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitshiftLeft(1, 8) == +256 // 0x100 equivalent to `2 ** 8`.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Int64, y : Int64) : Int64 {\n x << y\n };\n\n /// Returns the signed bitwise right shift of `x` by `y`, `x >> y`.\n /// The sign bit is retained and the left side is filled with the sign bit.\n /// Right-underflowing bits are discarded, i.e. not rotated to the left side.\n ///\n /// For `y >= 64`, the semantics is the same as for `bitshiftRight(x, y % 64)`.\n /// For `y < 0`, the semantics is the same as for `bitshiftRight (x, y + y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitshiftRight(1024, 8) == +4 // equivalent to `1024 / (2 ** 8)`;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Int64, y : Int64) : Int64 {\n x >> y\n };\n\n /// Returns the bitwise left rotatation of `x` by `y`, `x <<> y`.\n /// Each left-overflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 64`, the semantics is the same as for `bitrotLeft(x, y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n ///\n /// assert Int64.bitrotLeft(0x2000_0000_0000_0001, 4) == +18 // 0x12.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Int64, y : Int64) : Int64 { x <<> y };\n\n /// Returns the bitwise right rotation of `x` by `y`, `x <>> y`.\n /// Each right-underflowing bit is inserted again on the right side.\n /// The sign bit is rotated like y bits, i.e. the rotation interprets the number as unsigned.\n ///\n /// Changes the direction of rotation for negative `y`.\n /// For `y >= 64`, the semantics is the same as for `bitrotRight(x, y % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitrotRight(0x0002_0000_0000_0001, 48) == +65538 // 0x1_0002.;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Int64, y : Int64) : Int64 {\n x <>> y\n };\n\n /// Returns the value of bit `p` in `x`, `x & 2**p == 2**p`.\n /// If `p >= 64`, the semantics is the same as for `bittest(x, p % 64)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bittest(128, 7);\n /// ```\n public func bittest(x : Int64, p : Nat) : Bool {\n Prim.btstInt64(x, Prim.intToInt64(p))\n };\n\n /// Returns the value of setting bit `p` in `x` to `1`.\n /// If `p >= 64`, the semantics is the same as for `bitset(x, p % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitset(0, 7) == +128;\n /// ```\n public func bitset(x : Int64, p : Nat) : Int64 {\n x | (1 << Prim.intToInt64(p))\n };\n\n /// Returns the value of clearing bit `p` in `x` to `0`.\n /// If `p >= 64`, the semantics is the same as for `bitclear(x, p % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitclear(-1, 7) == -129;\n /// ```\n public func bitclear(x : Int64, p : Nat) : Int64 {\n x & ^(1 << Prim.intToInt64(p))\n };\n\n /// Returns the value of flipping bit `p` in `x`.\n /// If `p >= 64`, the semantics is the same as for `bitclear(x, p % 64)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitflip(255, 7) == +127;\n /// ```\n public func bitflip(x : Int64, p : Nat) : Int64 {\n x ^ (1 << Prim.intToInt64(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitcountNonZero(0xffff) == +16;\n /// ```\n public let bitcountNonZero : (x : Int64) -> Int64 = Prim.popcntInt64;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitcountLeadingZero(0x8000_0000) == +32;\n /// ```\n public let bitcountLeadingZero : (x : Int64) -> Int64 = Prim.clzInt64;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.bitcountTrailingZero(0x0201_0000) == +16;\n /// ```\n public let bitcountTrailingZero : (x : Int64) -> Int64 = Prim.ctzInt64;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.explode 0x33772266aa885511 == (51, 119, 34, 102, 170, 136, 85, 17);\n /// ```\n public let explode : (x : Int64) -> (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeInt64;\n\n /// Returns the sum of `x` and `y`, `x +% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.addWrap(2 ** 62, 2 ** 62) == -9_223_372_036_854_775_808; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Int64, y : Int64) : Int64 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.subWrap(-2 ** 63, 1) == +9_223_372_036_854_775_807; // underflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Int64, y : Int64) : Int64 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.mulWrap(2 ** 32, 2 ** 32) == 0; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Int64, y : Int64) : Int64 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`.\n ///\n /// Wraps on overflow/underflow.\n /// Traps if `y < 0 or y >= 64`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int64.powWrap(2, 63) == -9_223_372_036_854_775_808; // overflow\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Int64, y : Int64) : Int64 { x **% y };\n\n /// Returns an iterator over `Int64` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int64, toExclusive : Int64) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int64 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int64` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int64, to : Int64) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Int64 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Int64 values, from minValue to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int64.allValues();\n /// assert iter.next() == ?-9_223_372_036_854_775_808;\n /// assert iter.next() == ?-9_223_372_036_854_775_807;\n /// assert iter.next() == ?-9_223_372_036_854_775_806;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(minValue, maxValue)\n };\n\n}\n"},"VarArray.mo":{"content":"/// Provides extended utility functions on mutable Arrays (`[var]`).\n///\n/// Note the difference between mutable (`[var]`) and immutable (`[]`) arrays.\n/// Mutable arrays allow their elements to be modified after creation, while\n/// immutable arrays are fixed once created.\n///\n/// WARNING: If you are looking for a list that can grow and shrink in size,\n/// it is recommended you use `List` for those purposes.\n/// Arrays must be created with a fixed size.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import VarArray \"mo:core/VarArray\";\n/// ```\n\nimport Types \"Types\";\nimport Order \"Order\";\nimport Result \"Result\";\nimport Option \"Option\";\nimport Prim \"mo:⛔\";\nimport InsertionSort \"internal/SortHelper\";\n\nmodule {\n let nat = Prim.nat32ToNat;\n\n /// Creates an empty mutable array (equivalent to `[var]`).\n ///\n /// ```motoko include=import\n /// let array = VarArray.empty();\n /// assert array.size() == 0;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func empty() : [var T] = [var];\n\n /// Creates a mutable array containing `item` repeated `size` times.\n ///\n /// ```motoko include=import\n /// import Text \"mo:core/Text\";\n ///\n /// let array = VarArray.repeat(\"Echo\", 3);\n /// assert VarArray.equal(array, [var \"Echo\", \"Echo\", \"Echo\"], Text.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func repeat(item : T, size : Nat) : [var T] = Prim.Array_init(size, item);\n\n /// Duplicates `array`, returning a shallow copy of the original.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [var 1, 2, 3];\n /// let array2 = VarArray.clone(array1);\n /// array2[0] := 0;\n /// assert VarArray.equal(array1, [var 1, 2, 3], Nat.equal);\n /// assert VarArray.equal(array2, [var 0, 2, 3], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func clone(self : [var T]) : [var T] = Prim.Array_tabulateVar(self.size(), func i = self[i]);\n\n /// Creates a mutable array of size `size`. Each element at index i\n /// is created by applying `generator` to i.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array : [var Nat] = VarArray.tabulate(4, func i = i * 2);\n /// assert VarArray.equal(array, [var 0, 2, 4, 6], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `generator` runs in O(1) time and space.\n public let tabulate : (size : Nat, generator : Nat -> T) -> [var T] = Prim.Array_tabulateVar;\n\n /// Tests if two arrays contain equal values (i.e. they represent the same\n /// list of elements). Uses `equal` to compare elements in the arrays.\n ///\n /// ```motoko include=import\n /// // Use the equal function from the Nat module to compare Nats\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [var 0, 1, 2, 3];\n /// let array2 = [var 0, 1, 2, 3];\n /// assert VarArray.equal(array1, array2, Nat.equal);\n /// ```\n ///\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func equal(self : [var T], other : [var T], equal : (implicit : (T, T) -> Bool)) : Bool {\n let size1 = self.size();\n let size2 = other.size();\n if (size1 != size2) {\n return false\n };\n var i = 0;\n while (i < size1) {\n if (not equal(self[i], other[i])) {\n return false\n };\n i += 1\n };\n true\n };\n\n /// Returns the first value in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 9, 4, 8];\n /// let found = VarArray.find(array, func x = x > 8);\n /// assert found == ?9;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func find(self : [var T], predicate : T -> Bool) : ?T {\n for (element in self.vals()) {\n if (predicate element) {\n return ?element\n }\n };\n null\n };\n\n /// Returns the first index in `array` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let array = [var 'A', 'B', 'C', 'D'];\n /// let found = VarArray.findIndex(array, func(x) { x == 'C' });\n /// assert found == ?2;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func findIndex(self : [var T], predicate : T -> Bool) : ?Nat {\n for ((index, element) in enumerate(self)) {\n if (predicate element) {\n return ?index\n }\n };\n null\n };\n\n /// Create a new mutable array by concatenating the values of `array1` and `array2`.\n /// Note that `VarArray.concat` copies its arguments and has linear complexity.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array1 = [var 1, 2, 3];\n /// let array2 = [var 4, 5, 6];\n /// let result = VarArray.concat(array1, array2);\n /// assert VarArray.equal(result, [var 1, 2, 3, 4, 5, 6], Nat.equal);\n /// ```\n /// Runtime: O(size1 + size2)\n ///\n /// Space: O(size1 + size2)\n public func concat(self : [var T], other : [var T]) : [var T] {\n let size1 = self.size();\n let size2 = other.size();\n tabulate(\n size1 + size2,\n func i {\n if (i < size1) {\n self[i]\n } else {\n other[i - size1]\n }\n }\n )\n };\n\n /// Creates a new sorted copy of the mutable array according to `compare`.\n /// Sort is deterministic and stable.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 6];\n /// let sorted = VarArray.sort(array, Nat.compare);\n /// assert VarArray.equal(sorted, [var 2, 4, 6], Nat.equal);\n /// ```\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sort(self : [var T], compare : (implicit : (T, T) -> Order.Order)) : [var T] {\n let newArray = clone(self);\n sortInPlace(newArray, compare);\n newArray\n };\n\n /// Sorts the elements in a mutable array in place according to `compare`.\n /// Sort is deterministic and stable. This modifies the original array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 6];\n /// VarArray.sortInPlace(array, Nat.compare);\n /// assert VarArray.equal(array, [var 2, 4, 6], Nat.equal);\n /// ```\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sortInPlace(self : [var T], compare : (implicit : (T, T) -> Order.Order)) : () {\n let size = Prim.natToNat32(self.size());\n if (size <= 1) return;\n if (size <= 8) {\n InsertionSort.insertionSortSmall(self, self, compare, 0 : Nat32, size);\n return\n };\n let buffer = repeat(self[0], nat(size / 2));\n mergeSortRec(self, buffer, compare, 0 : Nat32, size, true, 0 : Nat32)\n };\n\n // input data is alwways in array\n // even: write output data to array in place\n // odd: write output data to buffer at offset\n // offset is only used when odd\n func mergeSortRec(\n array : [var T],\n buffer : [var T],\n compare : (T, T) -> Order.Order,\n from : Nat32,\n to : Nat32,\n even : Bool,\n offset : Nat32\n ) {\n debug assert from < to;\n let size = to -% from;\n debug assert size >= 4;\n\n if (size <= 8) {\n if (even) {\n InsertionSort.insertionSortSmall(array, array, compare, from, size); // sorts array in place\n } else {\n InsertionSort.insertionSortSmallMove(array, buffer, compare, from, size, offset); // sorts to buffer at offset\n };\n return\n };\n\n let len1 = size / 2;\n let mid = from +% len1;\n if (even) {\n // merge to array in place\n mergeSortRec(array, buffer, compare, mid, to, true, 0 : Nat32); // sort upper half to array in place\n mergeSortRec(array, buffer, compare, from, mid, false, 0 : Nat32); // sort lower half to beginning of buffer\n merge1(array, buffer, compare, from, mid, to); // merge to array in place\n } else {\n // merge to buffer at offset\n mergeSortRec(array, buffer, compare, from, mid, true, 0 : Nat32); // lower half to array in place\n mergeSortRec(array, buffer, compare, mid, to, false, offset +% len1); // sort upper half to buffer starting shifted offset\n merge2(array, buffer, compare, from, mid, size, offset); // merge to buffer at offset\n }\n };\n\n func merge1(array : [var T], buffer : [var T], compare : (T, T) -> Order.Order, from : Nat32, mid : Nat32, to : Nat32) {\n debug assert from < mid;\n debug assert mid < to;\n let len = mid -% from;\n var pos = from;\n var i = 0 : Nat32;\n var j = mid;\n\n var iElem = buffer[nat(i)];\n var jElem = array[nat(j)];\n label L loop {\n switch (compare(jElem, iElem)) {\n case (#less) {\n array[nat(pos)] := jElem;\n j +%= 1;\n pos +%= 1;\n if (j == to) {\n while (i < len) {\n array[nat(pos)] := buffer[nat(i)];\n i +%= 1;\n pos +%= 1\n };\n break L\n };\n jElem := array[nat(j)]\n };\n case (_) {\n array[nat(pos)] := iElem;\n i +%= 1;\n pos +%= 1;\n if (i == len) break L;\n iElem := buffer[nat(i)]\n }\n }\n }\n };\n\n func merge2(array : [var T], buffer : [var T], compare : (T, T) -> Order.Order, from : Nat32, mid : Nat32, size : Nat32, offset : Nat32) {\n debug assert from < mid;\n debug assert mid < from +% size;\n let len = mid -% from;\n var pos = offset;\n var i = from;\n var j = offset +% len;\n let j_max = offset +% size;\n\n var iElem = array[nat(i)];\n var jElem = buffer[nat(j)];\n label L loop {\n switch (compare(jElem, iElem)) {\n case (#less) {\n buffer[nat(pos)] := jElem;\n j +%= 1;\n pos +%= 1;\n if (j == j_max) {\n while (i < mid) {\n buffer[nat(pos)] := array[nat(i)];\n i +%= 1;\n pos +%= 1\n };\n break L\n };\n jElem := buffer[nat(j)]\n };\n case (_) {\n buffer[nat(pos)] := iElem;\n i +%= 1;\n pos +%= 1;\n if (i == mid) break L;\n iElem := array[nat(i)]\n }\n }\n }\n };\n\n /// Creates a new mutable array by reversing the order of elements in `array`.\n /// The original array is not modified.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 10, 11, 12];\n /// let reversed = VarArray.reverse(array);\n /// assert VarArray.equal(reversed, [var 12, 11, 10], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func reverse(self : [var T]) : [var T] {\n let size = self.size();\n tabulate(size, func i = self[size - i - 1])\n };\n\n /// Reverses the order of elements in a mutable array in place.\n /// This modifies the original array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 10, 11, 12];\n /// VarArray.reverseInPlace(array);\n /// assert VarArray.equal(array, [var 12, 11, 10], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func reverseInPlace(self : [var T]) : () {\n let size = self.size();\n if (size == 0) {\n return\n };\n var i = 0;\n var j = (size - 1) : Nat;\n while (i < j) {\n let temp = self[i];\n self[i] := self[j];\n self[j] := temp;\n i += 1;\n j -= 1\n }\n };\n\n /// Calls `f` with each element in `array`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// var sum = 0;\n /// let array = [var 0, 1, 2, 3];\n /// VarArray.forEach(array, func(x) {\n /// sum += x;\n /// });\n /// assert sum == 6;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : [var T], f : T -> ()) {\n for (item in self.vals()) {\n f(item)\n }\n };\n\n /// Creates a new mutable array by applying `f` to each element in `array`. `f` \"maps\"\n /// each element it is applied to of type `T` to an element of type `R`.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 0, 1, 2, 3];\n /// let array2 = VarArray.map(array, func x = x * 2);\n /// assert VarArray.equal(array2, [var 0, 2, 4, 6], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func map(self : [var T], f : T -> R) : [var R] {\n tabulate(\n self.size(),\n func(index) {\n f(self[index])\n }\n )\n };\n\n /// Applies `f` to each element of `array` in place,\n /// retaining the original ordering of elements.\n /// This modifies the original array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 0, 1, 2, 3];\n /// VarArray.mapInPlace(array, func x = x * 3);\n /// assert VarArray.equal(array, [var 0, 3, 6, 9], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapInPlace(self : [var T], f : T -> T) {\n var index = 0;\n let size = self.size();\n while (index < size) {\n self[index] := f(self[index]);\n index += 1\n }\n };\n\n /// Creates a new mutable array by applying `predicate` to every element\n /// in `array`, retaining the elements for which `predicate` returns true.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 6, 1, 5];\n /// let evenElements = VarArray.filter(array, func x = x % 2 == 0);\n /// assert VarArray.equal(evenElements, [var 4, 2, 6], Nat.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func filter(self : [var T], f : T -> Bool) : [var T] {\n var count = 0;\n let keep = Prim.Array_tabulate(\n self.size(),\n func i {\n if (f(self[i])) {\n count += 1;\n true\n } else {\n false\n }\n }\n );\n var nextKeep = 0;\n tabulate(\n count,\n func _ {\n while (not keep[nextKeep]) {\n nextKeep += 1\n };\n nextKeep += 1;\n self[nextKeep - 1]\n }\n )\n };\n\n /// Creates a new mutable array by applying `f` to each element in `array`,\n /// and keeping all non-null elements. The ordering is retained.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n ///\n /// let array = [var 4, 2, 0, 1];\n /// let newArray =\n /// VarArray.filterMap( // mapping from Nat to Text values\n /// array,\n /// func x = if (x == 0) { null } else { ?Nat.toText(100 / x) } // can't divide by 0, so return null\n /// );\n /// assert VarArray.equal(newArray, [var \"25\", \"50\", \"100\"], Text.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func filterMap(self : [var T], f : T -> ?R) : [var R] {\n var count = 0;\n let options = Prim.Array_tabulate(\n self.size(),\n func i {\n let result = f(self[i]);\n switch (result) {\n case (?element) {\n count += 1;\n result\n };\n case null {\n null\n }\n }\n }\n );\n\n var nextSome = 0;\n tabulate(\n count,\n func _ {\n while (Option.isNull(options[nextSome])) {\n nextSome += 1\n };\n nextSome += 1;\n switch (options[nextSome - 1]) {\n case (?element) element;\n case null {\n Prim.trap \"VarArray.filterMap(): malformed array\"\n }\n }\n }\n )\n };\n\n /// Creates a new mutable array by applying `f` to each element in `array`.\n /// If any invocation of `f` produces an `#err`, returns an `#err`. Otherwise\n /// returns an `#ok` containing the new array.\n ///\n /// ```motoko include=import\n /// import Result \"mo:core/Result\";\n ///\n /// let array = [var 4, 3, 2, 1, 0];\n /// // divide 100 by every element in the array\n /// let result = VarArray.mapResult(array, func x {\n /// if (x > 0) {\n /// #ok(100 / x)\n /// } else {\n /// #err \"Cannot divide by zero\"\n /// }\n /// });\n /// assert Result.isErr(result);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n /// @deprecated M0235\n public func mapResult(self : [var T], f : T -> Result.Result) : Result.Result<[var R], E> {\n let size = self.size();\n\n var error : ?Result.Result<[var R], E> = null;\n let results = tabulate(\n size,\n func i {\n switch (f(self[i])) {\n case (#ok element) {\n ?element\n };\n case (#err e) {\n switch (error) {\n case null {\n // only take the first error\n error := ?(#err e)\n };\n case _ {}\n };\n null\n }\n }\n }\n );\n\n switch error {\n case null {\n // unpack the option\n #ok(\n map(\n results,\n func element {\n switch element {\n case (?element) {\n element\n };\n case null {\n Prim.trap \"VarArray.mapResults(): malformed array\"\n }\n }\n }\n )\n )\n };\n case (?error) {\n error\n }\n }\n };\n\n /// Creates a new array by applying `f` to each element in `array` and its index.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 10, 10, 10, 10];\n /// let newArray = VarArray.mapEntries(array, func (x, i) = i * x);\n /// assert VarArray.equal(newArray, [var 0, 10, 20, 30], Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapEntries(self : [var T], f : (T, Nat) -> R) : [var R] {\n tabulate(self.size(), func i = f(self[i], i))\n };\n\n /// Creates a new mutable array by applying `k` to each element in `array`,\n /// and concatenating the resulting arrays in order.\n ///\n /// ```motoko include=import\n /// import Int \"mo:core/Int\"\n ///\n /// let array = [var 1, 2, 3, 4];\n /// let newArray = VarArray.flatMap(array, func x = [x, -x].vals());\n /// assert VarArray.equal(newArray, [var 1, -1, 2, -2, 3, -3, 4, -4], Int.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `k` runs in O(1) time and space.\n public func flatMap(self : [var T], k : T -> Types.Iter) : [var R] {\n var flatSize = 0;\n let arrays = Prim.Array_tabulate<[var R]>(\n self.size(),\n func i {\n let subArray = fromIter(k(self[i])); // TODO: optimize\n flatSize += subArray.size();\n subArray\n }\n );\n\n // could replace with a call to flatten,\n // but it would require an extra pass (to compute `flatSize`)\n var outer = 0;\n var inner = 0;\n tabulate(\n flatSize,\n func _ {\n while (inner == arrays[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = arrays[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// ```motoko include=import\n /// import {add} \"mo:core/Nat\";\n ///\n /// let array = [var 4, 2, 0, 1];\n /// let sum =\n /// VarArray.foldLeft(\n /// array,\n /// 0, // start the sum at 0\n /// func(sumSoFar, x) = sumSoFar + x // this entire function can be replaced with `add`!\n /// );\n /// assert sum == 7;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldLeft(self : [var T], base : A, combine : (A, T) -> A) : A {\n var acc = base;\n for (element in self.vals()) {\n acc := combine(acc, element)\n };\n acc\n };\n\n /// Collapses the elements in `array` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// ```motoko include=import\n /// import {toText} \"mo:core/Nat\";\n ///\n /// let array = [var 1, 9, 4, 8];\n /// let bookTitle = VarArray.foldRight(array, \"\", func(x, acc) = toText(x) # acc);\n /// assert bookTitle == \"1948\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `combine` runs in O(1) time and space.\n public func foldRight(self : [var T], base : A, combine : (T, A) -> A) : A {\n var acc = base;\n let size = self.size();\n var i = size;\n while (i > 0) {\n i -= 1;\n acc := combine(self[i], acc)\n };\n acc\n };\n\n /// Combines an iterator of mutable arrays into a single mutable array.\n /// Retains the original ordering of the elements.\n ///\n /// Consider using `VarArray.flatten()` for better performance.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let arrays : [[var Nat]] = [[var 0, 1, 2], [var 2, 3], [var], [var 4]];\n /// let joinedArray = VarArray.join(arrays.vals());\n /// assert VarArray.equal(joinedArray, [var 0, 1, 2, 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func join(self : Types.Iter<[var T]>) : [var T] {\n flatten(fromIter(self))\n };\n\n /// Combines a mutable array of mutable arrays into a single mutable array. Retains the original\n /// ordering of the elements.\n ///\n /// This has better performance compared to `VarArray.join()`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let arrays : [var [var Nat]] = [var [var 0, 1, 2], [var 2, 3], [var], [var 4]];\n /// let flatArray = VarArray.flatten(arrays);\n /// assert VarArray.equal(flatArray, [var 0, 1, 2, 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in array)\n ///\n /// Space: O(number of elements in array)\n public func flatten(self : [var [var T]]) : [var T] {\n var flatSize = 0;\n for (subArray in self.vals()) {\n flatSize += subArray.size()\n };\n\n var outer = 0;\n var inner = 0;\n tabulate(\n flatSize,\n func _ {\n while (inner == self[outer].size()) {\n inner := 0;\n outer += 1\n };\n let element = self[outer][inner];\n inner += 1;\n element\n }\n )\n };\n\n /// Create an array containing a single value.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = VarArray.singleton(2);\n /// assert VarArray.equal(array, [var 2], Nat.equal);\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func singleton(element : T) : [var T] = [var element];\n\n /// Returns the size of a mutable array. Equivalent to `array.size()`.\n public func size(self : [var T]) : Nat = self.size();\n\n /// Returns whether a mutable array is empty, i.e. contains zero elements.\n public func isEmpty(self : [var T]) : Bool = self.size() == 0;\n\n /// Transforms an immutable array into a mutable array.\n ///\n /// ```motoko include=import\n /// let array = [0, 1, 2];\n /// let varArray = VarArray.fromArray(array);\n /// assert varArray.size() == 3;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n /// @deprecated M0235\n public func fromArray(array : [T]) : [var T] = Prim.Array_tabulateVar(array.size(), func i = array[i]);\n\n /// Converts an iterator to a mutable array.\n public func fromIter(iter : Types.Iter) : [var T] {\n var list : Types.Pure.List = null;\n var size = 0;\n label l loop {\n switch (iter.next()) {\n case (?element) {\n list := ?(element, list);\n size += 1\n };\n case null { break l }\n }\n };\n if (size == 0) { return [var] };\n let array = Prim.Array_init(\n size,\n switch list {\n case (?(h, _)) h;\n case null {\n Prim.trap(\"VarArray.fromIter(): unreachable\")\n }\n }\n );\n var i = size;\n while (i > 0) {\n i -= 1;\n switch list {\n case (?(h, t)) {\n array[i] := h;\n list := t\n };\n case null {\n Prim.trap(\"VarArray.fromIter(): unreachable\")\n }\n }\n };\n array\n };\n\n /// Returns an iterator (`Iter`) over the indices of `array`.\n /// An iterator provides a single method `next()`, which returns\n /// indices in order, or `null` when out of index to iterate over.\n ///\n /// NOTE: You can also use `array.keys()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [var 10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.keys()) {\n /// sum += element;\n /// };\n /// assert sum == 3; // 0 + 1 + 2\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func keys(self : [var T]) : Types.Iter = self.keys();\n\n /// Iterator provides a single method `next()`, which returns\n /// elements in order, or `null` when out of elements to iterate over.\n ///\n /// Note: You can also use `array.values()` instead of this function. See example\n /// below.\n ///\n /// ```motoko include=import\n /// let array = [var 10, 11, 12];\n ///\n /// var sum = 0;\n /// for (element in array.values()) {\n /// sum += element;\n /// };\n /// assert sum == 33; // 10 + 11 + 12\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func values(self : [var T]) : Types.Iter = self.vals();\n\n /// Returns an iterator that provides pairs of (index, element) in order, or `null`\n /// when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// let array = [var 10, 11, 12];\n ///\n /// var sum = 0;\n /// for ((index, element) in VarArray.enumerate(array)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func enumerate(self : [var T]) : Types.Iter<(Nat, T)> = object {\n let size = self.size();\n var index = 0;\n public func next() : ?(Nat, T) {\n if (index >= size) {\n return null\n };\n let i = index;\n index += 1;\n ?(i, self[i])\n }\n };\n\n /// Returns true if all elements in `array` satisfy the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4];\n /// assert VarArray.all(array, func x = x > 0);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func all(self : [var T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Returns true if any element in `array` satisfies the predicate function.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4];\n /// assert VarArray.any(array, func x = x > 3);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func any(self : [var T], predicate : T -> Bool) : Bool {\n for (element in self.values()) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Returns the index of the first `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.indexOf(array, Char.equal, 'c') == ?0;\n /// assert VarArray.indexOf(array, Char.equal, 'f') == ?2;\n /// assert VarArray.indexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func indexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = nextIndexOf(self, equal, element, 0);\n\n /// Returns the index of the next occurence of `element` in the `array` starting from the `from` index (inclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.nextIndexOf(array, Char.equal, 'c', 0) == ?0;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 0) == ?2;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 2) == ?2;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 3) == ?3;\n /// assert VarArray.nextIndexOf(array, Char.equal, 'f', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func nextIndexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T, fromInclusive : Nat) : ?Nat {\n var index = fromInclusive;\n let size = self.size();\n while (index < size) {\n if (equal(self[index], element)) {\n return ?index\n } else {\n index += 1\n }\n };\n null\n };\n\n /// Returns the index of the last `element` in the `array`.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.lastIndexOf(array, Char.equal, 'c') == ?0;\n /// assert VarArray.lastIndexOf(array, Char.equal, 'f') == ?3;\n /// assert VarArray.lastIndexOf(array, Char.equal, 'e') == ?5;\n /// assert VarArray.lastIndexOf(array, Char.equal, 'g') == null;\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func lastIndexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = prevIndexOf(self, equal, element, self.size());\n\n /// Returns the index of the previous occurence of `element` in the `array` starting from the `from` index (exclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.prevIndexOf(array, Char.equal, 'c', array.size()) == ?0;\n /// assert VarArray.prevIndexOf(array, Char.equal, 'e', array.size()) == ?5;\n /// assert VarArray.prevIndexOf(array, Char.equal, 'e', 5) == ?4;\n /// assert VarArray.prevIndexOf(array, Char.equal, 'e', 4) == null;\n /// ```\n ///\n /// Runtime: O(array.size());\n /// Space: O(1);\n public func prevIndexOf(self : [var T], equal : (implicit : (T, T) -> Bool), element : T, fromExclusive : Nat) : ?Nat {\n var i = fromExclusive;\n while (i > 0) {\n i -= 1;\n if (equal(self[i], element)) {\n return ?i\n }\n };\n null\n };\n\n /// Returns true if the `array` contains `element` using the provided `equal` function.\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n ///\n /// let array = [var 'c', 'o', 'f', 'f', 'e', 'e'];\n /// assert VarArray.contains(array, Char.equal, 'f');\n /// assert not VarArray.contains(array, Char.equal, 'g');\n /// ```\n ///\n /// Runtime: O(array.size())\n ///\n /// Space: O(1)\n public func contains(self : [var T], equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (item in self.vals()) {\n if (equal(item, element)) {\n return true\n }\n };\n false\n };\n\n /// Returns an iterator over a slice of `array` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// Negative indices are relative to the end of the array. For example, `-1` corresponds to the last element in the array.\n ///\n /// If the indices are out of bounds, they are clamped to the array bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4, 5];\n /// let iter1 = VarArray.range(array, 3, array.size());\n /// assert iter1.next() == ?4;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// let iter2 = VarArray.range(array, 3, -1);\n /// assert iter2.next() == ?4;\n /// assert iter2.next() == null;\n ///\n /// let iter3 = VarArray.range(array, 0, 0);\n /// assert iter3.next() == null;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func range(self : [var T], fromInclusive : Int, toExclusive : Int) : Types.Iter {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (values are non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n object {\n var pos = start;\n public func next() : ?T {\n if (pos >= end) {\n null\n } else {\n let elem = self[pos];\n pos += 1;\n ?elem\n }\n }\n }\n };\n\n /// Returns a new array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// let array = [var 1, 2, 3, 4, 5];\n ///\n /// let slice1 = VarArray.sliceToArray(array, 1, 4);\n /// assert slice1 == [2, 3, 4];\n ///\n /// let slice2 = VarArray.sliceToArray(array, 1, -1);\n /// assert slice2 == [2, 3, 4];\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToArray(self : [var T], fromInclusive : Int, toExclusive : Int) : [T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return []\n };\n Prim.Array_tabulate(end - start, func i = self[start + i])\n };\n\n /// Returns a new mutable array containing elements from `array` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 1, 2, 3, 4, 5];\n ///\n /// let slice1 = VarArray.sliceToVarArray(array, 1, 4);\n /// assert VarArray.equal(slice1, [var 2, 3, 4], Nat.equal);\n ///\n /// let slice2 = VarArray.sliceToVarArray(array, 1, -1);\n /// assert VarArray.equal(slice2, [var 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToVarArray(self : [var T], fromInclusive : Int, toExclusive : Int) : [var T] {\n let size = self.size();\n // Convert negative indices to positive and handle bounds\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n // Convert to Nat (always non-negative due to bounds checking above)\n let start = Prim.abs(startInt);\n let end = Prim.abs(endInt);\n if (start >= end) {\n return [var]\n };\n Prim.Array_tabulateVar(end - start, func i = self[start + i])\n };\n\n /// Transforms a mutable array into an immutable array.\n ///\n /// ```motoko include=import\n /// let varArray = [var 0, 1, 2];\n /// varArray[2] := 3;\n /// let array = VarArray.toArray(varArray);\n /// assert array == [0, 1, 3];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func toArray(self : [var T]) : [T] = Prim.Array_tabulate(self.size(), func i = self[i]);\n\n /// Converts the mutable array to its textual representation using `f` to convert each element to `Text`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 1, 2, 3];\n /// assert VarArray.toText(array, Nat.toText) == \"[var 1, 2, 3]\";\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func toText(self : [var T], f : (implicit : (toText : T -> Text))) : Text {\n let size = self.size();\n if (size == 0) { return \"[var]\" };\n var text = \"[var \";\n var i = 0;\n while (i < size) {\n if (i != 0) {\n text #= \", \"\n };\n text #= f(self[i]);\n i += 1\n };\n text #= \"]\";\n text\n };\n\n /// Compares two mutable arrays using the provided comparison function for elements.\n /// Returns #less, #equal, or #greater if `array1` is less than, equal to,\n /// or greater than `array2` respectively.\n ///\n /// If arrays have different sizes but all elements up to the shorter length are equal,\n /// the shorter array is considered #less than the longer array.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// let array1 = [var 1, 2, 3];\n /// let array2 = [var 1, 2, 4];\n /// assert VarArray.compare(array1, array2, Nat.compare) == #less;\n ///\n /// let array3 = [var 1, 2];\n /// let array4 = [var 1, 2, 3];\n /// assert VarArray.compare(array3, array4, Nat.compare) == #less;\n /// ```\n ///\n /// Runtime: O(min(size1, size2))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func compare(self : [var T], other : [var T], compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let size1 = self.size();\n let size2 = other.size();\n var i = 0;\n let minSize = if (size1 < size2) { size1 } else { size2 };\n while (i < minSize) {\n switch (compare(self[i], other[i])) {\n case (#less) { return #less };\n case (#greater) { return #greater };\n case (#equal) { i += 1 }\n }\n };\n if (size1 < size2) { #less } else if (size1 > size2) { #greater } else {\n #equal\n }\n };\n\n /// Performs binary search on a sorted mutable array to find the index of the `element`.\n /// Returns `#found(index)` if the element is found, or `#insertionIndex(index)` with the index\n ///\n /// If there are multiple equal elements, no guarantee is made about which index is returned.\n /// The array must be sorted in ascending order according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let sorted = [var 1, 3, 5, 7, 9, 11];\n /// assert VarArray.binarySearch(sorted, Nat.compare, 5) == #found(2);\n /// assert VarArray.binarySearch(sorted, Nat.compare, 6) == #insertionIndex(3);\n /// ```\n ///\n /// Runtime: O(log(size))\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func binarySearch(self : [var T], compare : (implicit : (T, T) -> Order.Order), element : T) : {\n #found : Nat;\n #insertionIndex : Nat\n } {\n var left = 0;\n var right = self.size();\n while (left < right) {\n let mid = (left + right) / 2;\n switch (compare(self[mid], element)) {\n case (#less) left := mid + 1;\n case (#greater) right := mid;\n case (#equal) return #found mid\n }\n };\n #insertionIndex left\n };\n\n /// Checks whether the mutable `array` is sorted according to the `compare` function.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = [var 1, 2, 3];\n /// assert VarArray.isSorted(array, Nat.compare);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func isSorted(self : [var T], compare : (implicit : (T, T) -> Order.Order)) : Bool {\n let size = self.size();\n if (size <= 1) return true;\n var i = 1;\n while (i < size) {\n switch (compare(self[i - 1], self[i])) {\n case (#greater) return false;\n case _ { i += 1 }\n }\n };\n true\n }\n\n}\n"},"Timer.mo":{"content":"/// Timers for one-off or periodic tasks. Applicable as part of the default mechanism.\n/// If `moc` is invoked with `-no-timer`, the importing will fail. Furthermore, if passed `--trap-on-call-error`, a congested canister send queue may prevent timer expirations to execute at runtime. It may also deactivate the global timer.\n///\n/// ```motoko name=import\n/// import Timer \"mo:core/Timer\";\n/// ```\n///\n/// The resolution of the timers is similar to the block rate,\n/// so durations should be chosen well above that. For frequent\n/// canister wake-ups, consider using the [heartbeat](https://internetcomputer.org/docs/motoko/icp-features/system-functions#heartbeat) mechanism; however, when possible, canisters should prefer timers.\n///\n/// The functionality described below is enabled only when the actor does not override it by declaring an explicit `system func timer`.\n///\n/// Timers are _not_ persisted across upgrades. One possible strategy\n/// to re-establish timers after an upgrade is to use stable variables\n/// in the `post_upgrade` hook and distill necessary timer information\n/// from there.\n///\n/// Using timers for security (e.g., access control) is strongly discouraged.\n/// Make sure to inform yourself about state-of-the-art dapp security.\n/// If you must use timers for security controls, be sure\n/// to consider reentrancy issues as well as the vanishing of timers on upgrades\n/// and reinstalls.\n///\n/// For further usage information for timers on the IC, please consult\n/// [the documentation](https://internetcomputer.org/docs/building-apps/network-features/periodic-tasks-timers#timers-library-limitations).\nimport { setTimer = setTimerNano; cancelTimer = cancel } = \"mo:⛔\";\nimport Nat64 = \"Nat64\";\nimport Time \"Time\";\n\nmodule {\n\n public type TimerId = Nat;\n\n /// Installs a one-off timer that upon expiration after given duration `d`\n /// executes the future `job()`.\n ///\n /// ```motoko include=import no-repl\n /// import Int \"mo:core/Int\";\n ///\n /// func runIn30Minutes() : async () {\n /// // ...\n /// };\n /// let timerId = Timer.setTimer(#minutes 30, runIn30Minutes);\n /// ```\n public func setTimer(duration : Time.Duration, job : () -> async ()) : TimerId {\n setTimerNano(Nat64.fromNat(Time.toNanoseconds duration), false, job)\n };\n\n /// Installs a recurring timer that upon expiration after given duration `d`\n /// executes the future `job()` and reinserts itself for another expiration.\n ///\n /// Note: A duration of 0 will only expire once.\n ///\n /// ```motoko include=import no-repl\n /// func runEvery30Minutes() : async () {\n /// // ...\n /// };\n /// let timerId = Timer.recurringTimer(#minutes 30, runEvery30Minutes);\n /// ```\n public func recurringTimer(duration : Time.Duration, job : () -> async ()) : TimerId {\n setTimerNano(Nat64.fromNat(Time.toNanoseconds duration), true, job)\n };\n\n /// Cancels a still active timer with `(id : TimerId)`. For expired timers\n /// and not recognised `id`s nothing happens.\n ///\n /// ```motoko include=import no-repl\n /// var counter = 0;\n /// var timerId : ?Timer.TimerId = null;\n /// func runFiveTimes() : async () {\n /// counter += 1;\n /// if (counter == 5) {\n /// switch (timerId) {\n /// case (?id) { Timer.cancelTimer(id) };\n /// case null { assert false /* timer already cancelled */ };\n /// };\n /// }\n /// };\n /// timerId := ?Timer.recurringTimer(#minutes 30, runFiveTimes);\n /// ```\n public let cancelTimer : TimerId -> () = cancel;\n\n}\n"},"Float32.mo":{"content":"/// Single precision (32-bit) floating-point numbers in IEEE 754 representation.\n///\n/// This module contains common floating-point constants and utility functions.\n///\n/// ```motoko name=import\n/// import Float32 \"mo:core/Float32\";\n/// ```\n///\n/// Notation for special values in the documentation below:\n/// `+inf`: Positive infinity\n/// `-inf`: Negative infinity\n/// `NaN`: \"not a number\" (can have different sign bit values, but `NaN != NaN` regardless of the sign).\n///\n/// Note:\n/// Floating point numbers have limited precision and operations may inherently result in numerical errors.\n/// `Float32` has less precision than `Float` (64-bit); only about 7 significant decimal digits.\n///\n/// Examples of numerical errors:\n/// ```motoko\n/// assert 0.1 + 0.1 + 0.1 != 0.3;\n/// ```\n///\n/// Advice:\n/// * Floating point number comparisons by `==` or `!=` are discouraged. Instead, it is better to compare\n/// floating-point numbers with a numerical tolerance, called epsilon.\n///\n/// Example:\n/// ```motoko\n/// import Float32 \"mo:core/Float32\";\n/// let x = 0.1 + 0.1 + 0.1 : Float32;\n/// let y = 0.3 : Float32;\n///\n/// let epsilon = 1e-5 : Float32; // This depends on the application case (needs a numerical error analysis).\n/// assert Float32.equal(x, y, epsilon);\n/// ```\n///\n/// * For absolute precision, it is recommended to encode the fraction number as a pair of a Nat for the base\n/// and a Nat for the exponent (decimal point).\n///\n/// Note: As of `moc` 1.4, `Float32` support is experimental.\n///\n/// NaN sign:\n/// * The NaN sign is only applied by `abs`, `neg`, and `copySign`. Other operations can have an arbitrary\n/// sign bit for NaN results.\n\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 32-bit floating point number type.\n public type Float32 = Prim.Types.Float32;\n\n /// Conversion to Float (64-bit double precision).\n ///\n /// This is a lossless widening conversion.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.toFloat(1.5) == 1.5;\n /// ```\n public let toFloat : (self : Float32) -> Float = Prim.float32ToFloat;\n\n /// Conversion from Float (64-bit double precision) to Float32.\n ///\n /// Note: This may lose precision for values that are not exactly representable in 32-bit.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.fromFloat(1.5) == 1.5;\n /// ```\n public let fromFloat : (x : Float) -> Float32 = Prim.floatToFloat32;\n\n /// Ratio of the circumference of a circle to its diameter.\n /// Note: Limited precision (approximately 7 significant decimal digits).\n public let pi : Float32 = 3.14159265358979323846;\n\n /// Base of the natural logarithm.\n /// Note: Limited precision (approximately 7 significant decimal digits).\n public let e : Float32 = 2.7182818284590452354;\n\n /// Determines whether the `number` is a `NaN` (\"not a number\" in the floating point representation).\n /// Notes:\n /// * Equality test of `NaN` with itself or another number is always `false`.\n /// * There exist many internal `NaN` value representations, such as positive and negative NaN,\n /// signalling and quiet NaNs, each with many different bit representations.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.isNaN(0.0/0.0);\n /// ```\n public func isNaN(self : Float32) : Bool {\n self != self\n };\n\n /// Returns the absolute value of `x`.\n ///\n /// Special cases:\n /// ```\n /// abs(+inf) => +inf\n /// abs(-inf) => +inf\n /// abs(-NaN) => +NaN\n /// abs(-0.0) => 0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.abs(-1.2), 1.2, epsilon);\n /// ```\n public func abs(x : Float32) : Float32 {\n fromFloat(Prim.floatAbs(toFloat(x)))\n };\n\n /// Returns the square root of `x`.\n ///\n /// Special cases:\n /// ```\n /// sqrt(+inf) => +inf\n /// sqrt(-0.0) => -0.0\n /// sqrt(x) => NaN if x < 0.0\n /// sqrt(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.sqrt(6.25), 2.5, epsilon);\n /// ```\n public func sqrt(x : Float32) : Float32 {\n fromFloat(Prim.floatSqrt(toFloat(x)))\n };\n\n /// Returns the smallest integral float greater than or equal to `x`.\n ///\n /// Special cases:\n /// ```\n /// ceil(+inf) => +inf\n /// ceil(-inf) => -inf\n /// ceil(NaN) => NaN\n /// ceil(0.0) => 0.0\n /// ceil(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.ceil(1.2), 2.0, epsilon);\n /// ```\n public func ceil(x : Float32) : Float32 {\n fromFloat(Prim.floatCeil(toFloat(x)))\n };\n\n /// Returns the largest integral float less than or equal to `x`.\n ///\n /// Special cases:\n /// ```\n /// floor(+inf) => +inf\n /// floor(-inf) => -inf\n /// floor(NaN) => NaN\n /// floor(0.0) => 0.0\n /// floor(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.floor(1.2), 1.0, epsilon);\n /// ```\n public func floor(x : Float32) : Float32 {\n fromFloat(Prim.floatFloor(toFloat(x)))\n };\n\n /// Returns the nearest integral float not greater in magnitude than `x`.\n /// This is equivalent to returning `x` with truncating its decimal places.\n ///\n /// Special cases:\n /// ```\n /// trunc(+inf) => +inf\n /// trunc(-inf) => -inf\n /// trunc(NaN) => NaN\n /// trunc(0.0) => 0.0\n /// trunc(-0.0) => -0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.trunc(2.75), 2.0, epsilon);\n /// ```\n public func trunc(x : Float32) : Float32 {\n fromFloat(Prim.floatTrunc(toFloat(x)))\n };\n\n /// Returns the nearest integral float to `x`.\n /// A decimal place of exactly .5 is rounded to the nearest even integral float.\n ///\n /// Special cases:\n /// ```\n /// nearest(+inf) => +inf\n /// nearest(-inf) => -inf\n /// nearest(NaN) => NaN\n /// nearest(0.0) => 0.0\n /// nearest(-0.0) => -0.0\n /// nearest(14.5) => 14.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.nearest(2.75) == 3.0\n /// ```\n public func nearest(x : Float32) : Float32 {\n fromFloat(Prim.floatNearest(toFloat(x)))\n };\n\n /// Returns `x` if `x` and `y` have same sign, otherwise `x` with negated sign.\n ///\n /// The sign bit of zero, infinity, and `NaN` is considered.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.copySign(1.2, -2.3), -1.2, epsilon);\n /// ```\n public func copySign(x : Float32, y : Float32) : Float32 {\n fromFloat(Prim.floatCopySign(toFloat(x), toFloat(y)))\n };\n\n /// Returns the smaller value of `x` and `y`.\n ///\n /// Special cases:\n /// ```\n /// min(NaN, y) => NaN for any Float32 y\n /// min(x, NaN) => NaN for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.min(1.2, -2.3) == -2.3; // with numerical imprecision\n /// ```\n public func min(x : Float32, y : Float32) : Float32 {\n fromFloat(Prim.floatMin(toFloat(x), toFloat(y)))\n };\n\n /// Returns the larger value of `x` and `y`.\n ///\n /// Special cases:\n /// ```\n /// max(NaN, y) => NaN for any Float32 y\n /// max(x, NaN) => NaN for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.max(1.2, -2.3) == 1.2;\n /// ```\n public func max(x : Float32, y : Float32) : Float32 {\n fromFloat(Prim.floatMax(toFloat(x), toFloat(y)))\n };\n\n /// Returns the sine of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// sin(+inf) => NaN\n /// sin(-inf) => NaN\n /// sin(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.sin(Float32.pi / 2.0), 1.0, epsilon);\n /// ```\n public func sin(x : Float32) : Float32 {\n fromFloat(Prim.sin(toFloat(x)))\n };\n\n /// Returns the cosine of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// cos(+inf) => NaN\n /// cos(-inf) => NaN\n /// cos(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.cos(Float32.pi / 2.0), 0.0, epsilon);\n /// ```\n public func cos(x : Float32) : Float32 {\n fromFloat(Prim.cos(toFloat(x)))\n };\n\n /// Returns the tangent of the radian angle `x`.\n ///\n /// Special cases:\n /// ```\n /// tan(+inf) => NaN\n /// tan(-inf) => NaN\n /// tan(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.tan(Float32.pi / 4.0), 1.0, epsilon);\n /// ```\n public func tan(x : Float32) : Float32 {\n fromFloat(Prim.tan(toFloat(x)))\n };\n\n /// Returns the arc sine of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arcsin(x) => NaN if x > 1.0\n /// arcsin(x) => NaN if x < -1.0\n /// arcsin(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.arcsin(1.0), Float32.pi / 2.0, epsilon);\n /// ```\n public func arcsin(x : Float32) : Float32 {\n fromFloat(Prim.arcsin(toFloat(x)))\n };\n\n /// Returns the arc cosine of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arccos(x) => NaN if x > 1.0\n /// arccos(x) => NaN if x < -1.0\n /// arccos(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.arccos(1.0), 0.0, epsilon);\n /// ```\n public func arccos(x : Float32) : Float32 {\n fromFloat(Prim.arccos(toFloat(x)))\n };\n\n /// Returns the arc tangent of `x` in radians.\n ///\n /// Special cases:\n /// ```\n /// arctan(+inf) => pi / 2\n /// arctan(-inf) => -pi / 2\n /// arctan(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.arctan(1.0), Float32.pi / 4.0, epsilon);\n /// ```\n public func arctan(x : Float32) : Float32 {\n fromFloat(Prim.arctan(toFloat(x)))\n };\n\n /// Given `(y, x)`, returns the arc tangent in radians of `y/x` based on the signs of both values to determine the correct quadrant.\n ///\n /// Special cases:\n /// ```\n /// arctan2(0.0, 0.0) => 0.0\n /// arctan2(-0.0, 0.0) => -0.0\n /// arctan2(0.0, -0.0) => pi\n /// arctan2(-0.0, -0.0) => -pi\n /// arctan2(+inf, +inf) => pi / 4\n /// arctan2(+inf, -inf) => 3 * pi / 4\n /// arctan2(-inf, +inf) => -pi / 4\n /// arctan2(-inf, -inf) => -3 * pi / 4\n /// arctan2(NaN, x) => NaN for any Float32 x\n /// arctan2(y, NaN) => NaN for any Float32 y\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let sqrt2over2 = Float32.sqrt(2.0) / 2.0;\n /// assert Float32.arctan2(sqrt2over2, sqrt2over2) == Float32.pi / 4.0;\n /// ```\n public func arctan2(y : Float32, x : Float32) : Float32 {\n fromFloat(Prim.arctan2(toFloat(y), toFloat(x)))\n };\n\n /// Returns the value of `e` raised to the `x`-th power.\n ///\n /// Special cases:\n /// ```\n /// exp(+inf) => +inf\n /// exp(-inf) => 0.0\n /// exp(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.exp(1.0), Float32.e, epsilon);\n /// ```\n public func exp(x : Float32) : Float32 {\n fromFloat(Prim.exp(toFloat(x)))\n };\n\n /// Returns the natural logarithm (base-`e`) of `x`.\n ///\n /// Special cases:\n /// ```\n /// log(0.0) => -inf\n /// log(-0.0) => -inf\n /// log(x) => NaN if x < 0.0\n /// log(+inf) => +inf\n /// log(NaN) => NaN\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.log(Float32.e), 1.0, epsilon);\n /// ```\n public func log(x : Float32) : Float32 {\n fromFloat(Prim.log(toFloat(x)))\n };\n\n /// Formatting. `format(fmt, x)` formats `x` to `Text` according to the\n /// formatting directive `fmt`, which can take one of the following forms:\n ///\n /// * `#fix prec` as fixed-point format with `prec` digits\n /// * `#exp prec` as exponential format with `prec` digits\n /// * `#gen prec` as generic format with `prec` digits\n /// * `#exact` as exact format that can be decoded without loss.\n ///\n /// `-0.0` is formatted with negative sign bit.\n /// Positive infinity is formatted as \"inf\".\n /// Negative infinity is formatted as \"-inf\".\n ///\n /// The numerical precision and the text format can vary between\n /// Motoko versions and runtime configuration. Moreover, `NaN` can be printed\n /// differently, i.e. \"NaN\" or \"nan\", potentially omitting the `NaN` sign.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// assert Float32.format(123.0 : Float32, #exp (3 : Nat8)) == \"1.230e+02\";\n /// ```\n public func format(self : Float32, fmt : { #fix : Nat8; #exp : Nat8; #gen : Nat8; #exact }) : Text {\n let f = toFloat(self);\n switch fmt {\n case (#fix(prec)) { Prim.floatToFormattedText(f, prec, 0) };\n case (#exp(prec)) { Prim.floatToFormattedText(f, prec, 1) };\n case (#gen(prec)) { Prim.floatToFormattedText(f, prec, 2) };\n case (#exact) { Prim.floatToFormattedText(f, 17, 2) }\n }\n };\n\n /// Conversion to Text. Use `format(fmt, x)` for more detailed control.\n ///\n /// `-0.0` is formatted with negative sign bit.\n /// Positive infinity is formatted as `inf`.\n /// Negative infinity is formatted as `-inf`.\n /// `NaN` is formatted as `NaN` or `-NaN` depending on its sign bit.\n ///\n /// The numerical precision and the text format can vary between\n /// Motoko versions and runtime configuration. Moreover, `NaN` can be printed\n /// differently, i.e. \"NaN\" or \"nan\", potentially omitting the `NaN` sign.\n ///\n /// Example:\n /// ```motoko include=import no-validate\n /// assert Float32.toText(1.5) == \"1.5\";\n /// ```\n public func toText(self : Float32) : Text {\n Prim.floatToText(toFloat(self))\n };\n\n /// Conversion to Int64 by truncating Float32, equivalent to `toInt64(trunc(f))`\n ///\n /// Traps if the floating point number is larger or smaller than the representable Int64.\n /// Also traps for `inf`, `-inf`, and `NaN`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.toInt64(-12.0) == -12;\n /// ```\n public func toInt64(self : Float32) : Int64 {\n Prim.floatToInt64(toFloat(self))\n };\n\n /// Conversion from Int64.\n ///\n /// Note: The floating point number may be imprecise for large or small Int64.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.fromInt64(-42) == -42.0;\n /// ```\n public func fromInt64(x : Int64) : Float32 {\n fromFloat(Prim.int64ToFloat(x))\n };\n\n /// Conversion to Int.\n ///\n /// Traps for `inf`, `-inf`, and `NaN`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.toInt(1.0e6) == +1_000_000;\n /// ```\n public func toInt(self : Float32) : Int {\n Prim.floatToInt(toFloat(self))\n };\n\n /// Determines whether `x` is equal to `y` within the defined tolerance of `epsilon`.\n /// The `epsilon` considers numerical errors, see comment above.\n /// Equivalent to `Float32.abs(x - y) <= epsilon` for a non-negative epsilon.\n ///\n /// Traps if `epsilon` is negative or `NaN`.\n ///\n /// Special cases:\n /// ```\n /// equal(+0.0, -0.0, epsilon) => true for any `epsilon >= 0.0`\n /// equal(-0.0, +0.0, epsilon) => true for any `epsilon >= 0.0`\n /// equal(+inf, +inf, epsilon) => true for any `epsilon >= 0.0`\n /// equal(-inf, -inf, epsilon) => true for any `epsilon >= 0.0`\n /// equal(x, NaN, epsilon) => false for any x and `epsilon >= 0.0`\n /// equal(NaN, y, epsilon) => false for any y and `epsilon >= 0.0`\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(-12.3, -1.23e1, epsilon);\n /// ```\n public func equal(x : Float32, y : Float32, epsilon : Float32) : Bool {\n if (not (epsilon >= (0.0 : Float32))) {\n // also considers NaN, not identical to `epsilon < 0.0`\n Prim.trap(\"Float32.equal(): epsilon must be greater or equal 0.0\")\n };\n x == y or abs(x - y) <= epsilon // `x == y` to also consider infinity equal\n };\n\n /// Determines whether `x` is not equal to `y` within the defined tolerance of `epsilon`.\n /// The `epsilon` considers numerical errors, see comment above.\n /// Equivalent to `not equal(x, y, epsilon)`.\n ///\n /// Traps if `epsilon` is negative or `NaN`.\n ///\n /// Special cases:\n /// ```\n /// notEqual(+0.0, -0.0, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(-0.0, +0.0, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(+inf, +inf, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(-inf, -inf, epsilon) => false for any `epsilon >= 0.0`\n /// notEqual(x, NaN, epsilon) => true for any x and `epsilon >= 0.0`\n /// notEqual(NaN, y, epsilon) => true for any y and `epsilon >= 0.0`\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert not Float32.notEqual(-12.3, -1.23e1, epsilon);\n /// ```\n public func notEqual(x : Float32, y : Float32, epsilon : Float32) : Bool {\n if (not (epsilon >= (0.0 : Float32))) {\n // also considers NaN, not identical to `epsilon < 0.0`\n Prim.trap(\"Float32.notEqual(): epsilon must be greater or equal 0.0\")\n };\n not (x == y or abs(x - y) <= epsilon)\n };\n\n /// Returns `x < y`.\n ///\n /// Special cases:\n /// ```\n /// less(+0.0, -0.0) => false\n /// less(-0.0, +0.0) => false\n /// less(NaN, y) => false for any Float32 y\n /// less(x, NaN) => false for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.less(Float32.e, Float32.pi);\n /// ```\n public func less(x : Float32, y : Float32) : Bool { x < y };\n\n /// Returns `x <= y`.\n ///\n /// Special cases:\n /// ```\n /// lessOrEqual(+0.0, -0.0) => true\n /// lessOrEqual(-0.0, +0.0) => true\n /// lessOrEqual(NaN, y) => false for any Float32 y\n /// lessOrEqual(x, NaN) => false for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.lessOrEqual(0.123, 0.1234);\n /// ```\n public func lessOrEqual(x : Float32, y : Float32) : Bool { x <= y };\n\n /// Returns `x > y`.\n ///\n /// Special cases:\n /// ```\n /// greater(+0.0, -0.0) => false\n /// greater(-0.0, +0.0) => false\n /// greater(NaN, y) => false for any Float32 y\n /// greater(x, NaN) => false for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.greater(Float32.pi, Float32.e);\n /// ```\n public func greater(x : Float32, y : Float32) : Bool { x > y };\n\n /// Returns `x >= y`.\n ///\n /// Special cases:\n /// ```\n /// greaterOrEqual(+0.0, -0.0) => true\n /// greaterOrEqual(-0.0, +0.0) => true\n /// greaterOrEqual(NaN, y) => false for any Float32 y\n /// greaterOrEqual(x, NaN) => false for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.greaterOrEqual(0.1234, 0.123);\n /// ```\n public func greaterOrEqual(x : Float32, y : Float32) : Bool {\n x >= y\n };\n\n /// Defines a total order of `x` and `y` for use in sorting.\n ///\n /// Note: Using this operation to determine equality or inequality is discouraged for two reasons:\n /// * It does not consider numerical errors, see comment above. Use `equal(x, y, epsilon)` or\n /// `notEqual(x, y, epsilon)` to test for equality or inequality, respectively.\n /// * `NaN` are here considered equal if their sign matches, which is different to the standard equality\n /// by `==` or when using `equal()` or `notEqual()`.\n ///\n /// Total order:\n /// * negative NaN (no distinction between signalling and quiet negative NaN)\n /// * negative infinity\n /// * negative numbers (including negative subnormal numbers in standard order)\n /// * negative zero (`-0.0`)\n /// * positive zero (`+0.0`)\n /// * positive numbers (including positive subnormal numbers in standard order)\n /// * positive infinity\n /// * positive NaN (no distinction between signalling and quiet positive NaN)\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Float32.compare(0.123, 0.1234) == #less;\n /// ```\n public func compare(x : Float32, y : Float32) : Order.Order {\n if (isNaN(x)) {\n if (isNegative(x)) {\n if (isNaN(y) and isNegative(y)) { #equal } else { #less }\n } else {\n if (isNaN(y) and not isNegative(y)) { #equal } else { #greater }\n }\n } else if (isNaN(y)) {\n if (isNegative(y)) {\n #greater\n } else {\n #less\n }\n } else {\n if (x == y) { #equal } else if (x < y) { #less } else {\n #greater\n }\n }\n };\n\n func isNegative(self : Float32) : Bool {\n copySign(1.0, self) < (0.0 : Float32)\n };\n\n /// Returns the negation of `x`, `-x`.\n ///\n /// Changes the sign bit for infinity.\n ///\n /// Special cases:\n /// ```\n /// neg(+inf) => -inf\n /// neg(-inf) => +inf\n /// neg(+NaN) => -NaN\n /// neg(-NaN) => +NaN\n /// neg(+0.0) => -0.0\n /// neg(-0.0) => +0.0\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.neg(1.23), -1.23, epsilon);\n /// ```\n public func neg(x : Float32) : Float32 { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// add(+inf, y) => +inf if y is any Float32 except -inf and NaN\n /// add(-inf, y) => -inf if y is any Float32 except +inf and NaN\n /// add(+inf, -inf) => NaN\n /// add(NaN, y) => NaN for any Float32 y\n /// ```\n /// The same cases apply commutatively, i.e. for `add(y, x)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.add(1.23, 0.123), 1.353, epsilon);\n /// ```\n public func add(x : Float32, y : Float32) : Float32 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// sub(+inf, y) => +inf if y is any Float32 except +inf or NaN\n /// sub(-inf, y) => -inf if y is any Float32 except -inf and NaN\n /// sub(x, +inf) => -inf if x is any Float32 except +inf and NaN\n /// sub(x, -inf) => +inf if x is any Float32 except -inf and NaN\n /// sub(+inf, +inf) => NaN\n /// sub(-inf, -inf) => NaN\n /// sub(NaN, y) => NaN for any Float32 y\n /// sub(x, NaN) => NaN for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.sub(1.23, 0.123), 1.107, epsilon);\n /// ```\n public func sub(x : Float32, y : Float32) : Float32 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// mul(+inf, y) => +inf if y > 0.0\n /// mul(-inf, y) => -inf if y > 0.0\n /// mul(+inf, y) => -inf if y < 0.0\n /// mul(-inf, y) => +inf if y < 0.0\n /// mul(+inf, 0.0) => NaN\n /// mul(-inf, 0.0) => NaN\n /// mul(NaN, y) => NaN for any Float32 y\n /// ```\n /// The same cases apply commutatively, i.e. for `mul(y, x)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.mul(1.23, 1e2), 123.0, epsilon);\n /// ```\n public func mul(x : Float32, y : Float32) : Float32 { x * y };\n\n /// Returns the division of `x` by `y`, `x / y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// div(0.0, 0.0) => NaN\n /// div(x, 0.0) => +inf for x > 0.0\n /// div(x, 0.0) => -inf for x < 0.0\n /// div(x, +inf) => 0.0 for any x except +inf, -inf, and NaN\n /// div(x, -inf) => 0.0 for any x except +inf, -inf, and NaN\n /// div(+inf, y) => +inf if y >= 0.0\n /// div(+inf, y) => -inf if y < 0.0\n /// div(-inf, y) => -inf if y >= 0.0\n /// div(-inf, y) => +inf if y < 0.0\n /// div(NaN, y) => NaN for any Float32 y\n /// div(x, NaN) => NaN for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.div(1.23, 1e2), 0.0123, epsilon);\n /// ```\n public func div(x : Float32, y : Float32) : Float32 { x / y };\n\n /// Returns the floating point division remainder `x % y`,\n /// which is defined as `x - trunc(x / y) * y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// rem(0.0, 0.0) => NaN\n /// rem(x, +inf) => x for any x except +inf, -inf, and NaN\n /// rem(x, -inf) => x for any x except +inf, -inf, and NaN\n /// rem(+inf, y) => NaN for any Float32 y\n /// rem(-inf, y) => NaN for any Float32 y\n /// rem(NaN, y) => NaN for any Float32 y\n /// rem(x, NaN) => NaN for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.rem(7.2, 2.3), 0.3, epsilon);\n /// ```\n public func rem(x : Float32, y : Float32) : Float32 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Note: Numerical errors may occur, see comment above.\n ///\n /// Special cases:\n /// ```\n /// pow(+inf, y) => +inf for any y > 0.0 including +inf\n /// pow(+inf, 0.0) => 1.0\n /// pow(+inf, y) => 0.0 for any y < 0.0 including -inf\n /// pow(x, +inf) => +inf if x > 0.0 or x < 0.0\n /// pow(0.0, +inf) => 0.0\n /// pow(x, -inf) => 0.0 if x > 0.0 or x < 0.0\n /// pow(0.0, -inf) => +inf\n /// pow(x, y) => NaN if x < 0.0 and y is a non-integral Float32\n /// pow(NaN, y) => NaN if y != 0.0\n /// pow(NaN, 0.0) => 1.0\n /// pow(x, NaN) => NaN for any Float32 x\n /// ```\n ///\n /// Example:\n /// ```motoko include=import\n /// let epsilon = 1e-5 : Float32;\n /// assert Float32.equal(Float32.pow(2.5, 2.0), 6.25, epsilon);\n /// ```\n public func pow(x : Float32, y : Float32) : Float32 { x ** y };\n\n}\n"},"Nat64.mo":{"content":"/// Utility functions on 64-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat64 \"mo:core/Nat64\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 64-bit natural numbers.\n public type Nat64 = Prim.Types.Nat64;\n\n /// Maximum 64-bit natural number. `2 ** 64 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.maxValue == (18446744073709551615 : Nat64);\n /// ```\n public let maxValue : Nat64 = 18446744073709551615;\n\n /// Converts a 64-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat64) -> Nat = Prim.nat64ToNat;\n\n /// Converts an unsigned integer with infinite precision to a 64-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat(123) == (123 : Nat64);\n /// ```\n public let fromNat : Nat -> Nat64 = Prim.natToNat64;\n\n /// Converts a 64-bit unsigned integer to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat8(123) == (123 : Nat8);\n /// ```\n public func toNat8(self : Nat64) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(Prim.nat64ToNat32(self)))\n };\n\n /// Converts a 16-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat16(123) == (123 : Nat64);\n /// ```\n /// @deprecated M0235\n public func fromNat16(x : Nat16) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(x))\n };\n\n /// Converts a 64-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat16(123) == (123 : Nat16);\n /// ```\n public func toNat16(self : Nat64) : Nat16 {\n Prim.nat32ToNat16(Prim.nat64ToNat32(self))\n };\n\n /// Converts an 8-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat8(123) == (123 : Nat64);\n /// ```\n /// @deprecated M0235\n public func fromNat8(x : Nat8) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(Prim.nat8ToNat16(x)))\n };\n\n /// Converts a 32-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromNat32(123) == (123 : Nat64);\n /// ```\n /// @deprecated M0235\n public let fromNat32 : (x : Nat32) -> Nat64 = Prim.nat32ToNat64;\n\n /// Converts a 64-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toNat32(123) == (123 : Nat32);\n /// ```\n public let toNat32 : (self : Nat64) -> Nat32 = Prim.nat64ToNat32;\n\n /// Converts a signed integer with infinite precision to a 64-bit unsigned integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.fromIntWrap(123) == (123 : Nat64);\n /// ```\n public let fromIntWrap : Int -> Nat64 = Prim.intToNat64Wrap;\n\n /// Converts `x` to its textual representation. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.toText(1234) == (\"1234\" : Text);\n /// ```\n public func toText(self : Nat64) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.min(123, 456) == (123 : Nat64);\n /// ```\n public func min(x : Nat64, y : Nat64) : Nat64 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.max(123, 456) == (456 : Nat64);\n /// ```\n public func max(x : Nat64, y : Nat64) : Nat64 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat64 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.equal(1, 1);\n /// assert (1 : Nat64) == (1 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat64 = 111;\n /// let b : Nat64 = 222;\n /// assert not Nat64.equal(a, b);\n /// ```\n public func equal(x : Nat64, y : Nat64) : Bool { x == y };\n\n /// Inequality function for Nat64 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.notEqual(1, 2);\n /// assert (1 : Nat64) != (2 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat64, y : Nat64) : Bool { x != y };\n\n /// \"Less than\" function for Nat64 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.less(1, 2);\n /// assert (1 : Nat64) < (2 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat64, y : Nat64) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat64 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.lessOrEqual(1, 2);\n /// assert (1 : Nat64) <= (2 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat64, y : Nat64) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat64 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.greater(2, 1);\n /// assert (2 : Nat64) > (1 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat64, y : Nat64) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat64 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.greaterOrEqual(2, 1);\n /// assert (2 : Nat64) >= (1 : Nat64);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat64, y : Nat64) : Bool {\n x >= y\n };\n\n /// General purpose comparison function for `Nat64`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat64], Nat64.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat64, y : Nat64) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.add(1, 2) == 3;\n /// assert (1 : Nat64) + (2 : Nat64) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat64.add) == 6;\n /// ```\n public func add(x : Nat64, y : Nat64) : Nat64 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.sub(3, 1) == 2;\n /// assert (3 : Nat64) - (1 : Nat64) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 10, Nat64.sub) == 4;\n /// ```\n public func sub(x : Nat64, y : Nat64) : Nat64 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.mul(2, 3) == 6;\n /// assert (2 : Nat64) * (3 : Nat64) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat64.mul) == 6;\n /// ```\n public func mul(x : Nat64, y : Nat64) : Nat64 { x * y };\n\n /// Returns the quotient of `x` divided by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.div(6, 2) == 3;\n /// assert (6 : Nat64) / (2 : Nat64) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat64, y : Nat64) : Nat64 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.rem(6, 4) == 2;\n /// assert (6 : Nat64) % (4 : Nat64) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat64, y : Nat64) : Nat64 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`. Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.pow(2, 3) == 8;\n /// assert (2 : Nat64) ** (3 : Nat64) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat64, y : Nat64) : Nat64 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitnot(0) == 18446744073709551615;\n /// assert ^(0 : Nat64) == 18446744073709551615;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat64) : Nat64 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitand(1, 3) == 1;\n /// assert (1 : Nat64) & (3 : Nat64) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat64, y : Nat64) : Nat64 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitor(1, 3) == 3;\n /// assert (1 : Nat64) | (3 : Nat64) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Nat64, y : Nat64) : Nat64 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitxor(1, 3) == 2;\n /// assert (1 : Nat64) ^ (3 : Nat64) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Nat64, y : Nat64) : Nat64 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitshiftLeft(1, 3) == 8;\n /// assert (1 : Nat64) << (3 : Nat64) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat64, y : Nat64) : Nat64 {\n x << y\n };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitshiftRight(8, 3) == 1;\n /// assert (8 : Nat64) >> (3 : Nat64) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat64, y : Nat64) : Nat64 {\n x >> y\n };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitrotLeft(1, 3) == 8;\n /// assert (1 : Nat64) <<> (3 : Nat64) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat64, y : Nat64) : Nat64 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitrotRight(8, 3) == 1;\n /// assert (8 : Nat64) <>> (3 : Nat64) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat64, y : Nat64) : Nat64 {\n x <>> y\n };\n\n /// Returns the value of bit `p mod 64` in `x`, `(x & 2^(p mod 64)) == 2^(p mod 64)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bittest(5, 2);\n /// ```\n public func bittest(x : Nat64, p : Nat) : Bool {\n Prim.btstNat64(x, Prim.natToNat64(p))\n };\n\n /// Returns the value of setting bit `p mod 64` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitset(5, 1) == 7;\n /// ```\n public func bitset(x : Nat64, p : Nat) : Nat64 {\n x | (1 << Prim.natToNat64(p))\n };\n\n /// Returns the value of clearing bit `p mod 64` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat64, p : Nat) : Nat64 {\n x & ^(1 << Prim.natToNat64(p))\n };\n\n /// Returns the value of flipping bit `p mod 64` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat64, p : Nat) : Nat64 {\n x ^ (1 << Prim.natToNat64(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat64) -> Nat64 = Prim.popcntNat64;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitcountLeadingZero(5) == 61;\n /// ```\n public let bitcountLeadingZero : (x : Nat64) -> Nat64 = Prim.clzNat64;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.bitcountTrailingZero(16) == 4;\n /// ```\n public let bitcountTrailingZero : (x : Nat64) -> Nat64 = Prim.ctzNat64;\n\n /// Returns the upper (i.e. most significant), lower (least significant)\n /// and in-between bytes of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.explode 0xbb772266aa885511 == (187, 119, 34, 102, 170, 136, 85, 17);\n /// ```\n public let explode : (x : Nat64) -> (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = Prim.explodeNat64;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.addWrap(Nat64.maxValue, 1) == 0;\n /// assert Nat64.maxValue +% (1 : Nat64) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat64, y : Nat64) : Nat64 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.subWrap(0, 1) == 18446744073709551615;\n /// assert (0 : Nat64) -% (1 : Nat64) == 18446744073709551615;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat64, y : Nat64) : Nat64 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.mulWrap(4294967296, 4294967296) == 0;\n /// assert (4294967296 : Nat64) *% (4294967296 : Nat64) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat64, y : Nat64) : Nat64 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat64.powWrap(2, 64) == 0;\n /// assert (2 : Nat64) **% (64 : Nat64) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat64, y : Nat64) : Nat64 { x **% y };\n\n /// Returns an iterator over `Nat64` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat64, toExclusive : Nat64) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat64 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat64` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat64, to : Nat64) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat64 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat64 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat64.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"Queue.mo":{"content":"/// A mutable double-ended queue of elements.\n/// The queue has two ends, front and back.\n/// Elements can be added and removed at the two ends.\n///\n/// This can be used for different use cases, such as:\n/// * Queue (FIFO) by using `pushBack()` and `popFront()`\n/// * Stack (LIFO) by using `pushFront()` and `popFront()`.\n///\n/// Example:\n/// ```motoko\n/// import Queue \"mo:core/Queue\";\n///\n/// persistent actor {\n/// let orders = Queue.empty();\n/// Queue.pushBack(orders, \"Motoko\");\n/// Queue.pushBack(orders, \"Mops\");\n/// Queue.pushBack(orders, \"IC\");\n/// assert Queue.popFront(orders) == ?\"Motoko\";\n/// assert Queue.popFront(orders) == ?\"Mops\";\n/// assert Queue.popFront(orders) == ?\"IC\";\n/// assert Queue.popFront(orders) == null;\n/// }\n/// ```\n///\n/// The internal implementation is a doubly-linked list.\n///\n/// Performance:\n/// * Runtime: `O(1)` for push, pop, and peek operations.\n/// * Space: `O(n)`.\n/// `n` denotes the number of elements stored in the queue.\n\nimport PureQueue \"pure/Queue\";\nimport Iter \"Iter\";\nimport Order \"Order\";\nimport Types \"Types\";\nimport Array \"Array\";\nimport Prim \"mo:⛔\";\n\nmodule {\n public type Queue = Types.Queue.Queue;\n\n type Node = Types.Queue.Node;\n\n /// Converts a mutable queue to an immutable, purely functional queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let pureQueue = Queue.toPure(queue);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n /// @deprecated M0235\n public func toPure(self : Queue) : PureQueue.Queue {\n let pureQueue = PureQueue.empty();\n let iter = values(self);\n var current = pureQueue;\n loop {\n switch (iter.next()) {\n case null { return current };\n case (?val) { current := PureQueue.pushBack(current, val) }\n }\n }\n };\n\n /// Converts an immutable, purely functional queue to a mutable queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import PureQueue \"mo:core/pure/Queue\";\n ///\n /// persistent actor {\n /// let pureQueue = PureQueue.fromIter([1, 2, 3].values());\n /// let queue = Queue.fromPure(pureQueue);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n /// @deprecated M0235\n public func fromPure(pureQueue : PureQueue.Queue) : Queue {\n let queue = empty();\n let iter = PureQueue.values(pureQueue);\n loop {\n switch (iter.next()) {\n case null { return queue };\n case (?val) { pushBack(queue, val) }\n }\n }\n };\n\n /// Create a new empty mutable double-ended queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.size(queue) == 0;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Queue {\n { var front = null; var back = null; var size = 0 }\n };\n\n /// Creates a new queue with a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.singleton(123);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func singleton(element : T) : Queue {\n let queue = empty();\n pushBack(queue, element);\n queue\n };\n\n /// Removes all elements from the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// Queue.clear(queue);\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func clear(self : Queue) {\n self.front := null;\n self.back := null;\n self.size := 0\n };\n\n /// Creates a deep copy of the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let original = Queue.fromIter([1, 2, 3].values());\n /// let copy = Queue.clone(original);\n /// Queue.clear(original);\n /// assert Queue.size(original) == 0;\n /// assert Queue.size(copy) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func clone(self : Queue) : Queue {\n let copy = empty();\n for (element in values(self)) {\n pushBack(copy, element)\n };\n copy\n };\n\n /// Returns the number of elements in the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// assert Queue.size(queue) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func size(self : Queue) : Nat {\n self.size\n };\n\n /// Returns `true` if the queue contains no elements.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func isEmpty(self : Queue) : Bool {\n self.size == 0\n };\n\n /// Checks if an element exists in the queue using the provided equality function.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.contains(queue, Nat.equal, 2);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func contains(self : Queue, equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n for (existing in values(self)) {\n if (equal(existing, element)) {\n return true\n }\n };\n false\n };\n\n /// Returns the first element in the queue without removing it.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func peekFront(self : Queue) : ?T {\n switch (self.front) {\n case null null;\n case (?node) ?node.value\n }\n };\n\n /// Returns the last element in the queue without removing it.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.peekBack(queue) == ?3;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func peekBack(self : Queue) : ?T {\n switch (self.back) {\n case null null;\n case (?node) ?node.value\n }\n };\n\n /// Adds an element to the front of the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// Queue.pushFront(queue, 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func pushFront(self : Queue, element : T) {\n let node : Node = {\n value = element;\n var next = self.front;\n var previous = null\n };\n switch (self.front) {\n case null {};\n case (?first) first.previous := ?node\n };\n self.front := ?node;\n switch (self.back) {\n case null self.back := ?node;\n case (?_) {}\n };\n self.size += 1\n };\n\n /// Adds an element to the back of the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.empty();\n /// Queue.pushBack(queue, 1);\n /// assert Queue.peekBack(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func pushBack(self : Queue, element : T) {\n let node : Node = {\n value = element;\n var next = null;\n var previous = self.back\n };\n switch (self.back) {\n case null {};\n case (?last) last.next := ?node\n };\n self.back := ?node;\n switch (self.front) {\n case null self.front := ?node;\n case (?_) {}\n };\n self.size += 1\n };\n\n /// Removes and returns the first element in the queue.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.popFront(queue) == ?1;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func popFront(self : Queue) : ?T {\n switch (self.front) {\n case null null;\n case (?first) {\n self.front := first.next;\n switch (self.front) {\n case null { self.back := null };\n case (?newFirst) { newFirst.previous := null }\n };\n self.size -= 1;\n ?first.value\n }\n }\n };\n\n /// Removes and returns the last element in the queue.\n /// Returns null if the queue is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.popBack(queue) == ?3;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(1)\n /// Space: O(1)\n public func popBack(self : Queue) : ?T {\n switch (self.back) {\n case null null;\n case (?last) {\n self.back := last.previous;\n switch (self.back) {\n case null { self.front := null };\n case (?newLast) { newLast.next := null }\n };\n self.size -= 1;\n ?last.value\n }\n }\n };\n\n /// Creates a new queue from an iterator.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// assert Queue.size(queue) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func fromIter(iter : Iter.Iter) : Queue {\n let queue = empty();\n for (element in iter) {\n pushBack(queue, element)\n };\n queue\n };\n\n /// Converts an iterator to a queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// transient let iter = [\"A\", \"B\", \"C\"].values();\n ///\n /// let queue = iter.toQueue();\n ///\n /// assert Queue.size(queue) == 3;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func toQueue(self : Iter.Iter) : Queue {\n fromIter(self)\n };\n\n /// Creates a new queue from an array.\n /// Elements appear in the same order as in the array.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// assert Queue.size(queue) == 3;\n /// assert Queue.peekFront(queue) == ?\"A\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the array.\n public func fromArray(array : [T]) : Queue {\n let queue = empty();\n for (element in array.vals()) {\n pushBack(queue, element)\n };\n queue\n };\n\n public func fromVarArray(array : [var T]) : Queue {\n fromIter(array.values())\n };\n\n /// Creates a new immutable array containing all elements from the queue.\n /// Elements appear in the same order as in the queue (front to back).\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Array \"mo:core/Array\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// let array = Queue.toArray(queue);\n /// assert array == [\"A\", \"B\", \"C\"];\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func toArray(self : Queue) : [T] {\n let iter = values(self);\n Array.tabulate(\n self.size,\n func(i) {\n switch (iter.next()) {\n case null { Prim.trap(\"Queue.toArray(): unexpected end of iterator\") };\n case (?value) { value }\n }\n }\n )\n };\n\n public func toVarArray(self : Queue) : [var T] {\n Array.toVarArray(toArray(self))\n };\n\n /// Returns an iterator over the elements in the queue.\n /// Iterates from front to back.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// persistent actor {\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// transient let iter = Queue.values(queue);\n /// assert iter.next() == ?\"A\";\n /// assert iter.next() == ?\"B\";\n /// assert iter.next() == ?\"C\";\n /// assert iter.next() == null;\n /// }\n /// ```\n ///\n /// Runtime: O(1) for iterator creation, O(n) for full iteration\n /// Space: O(1)\n public func values(self : Queue) : Iter.Iter {\n object {\n var current = self.front;\n\n public func next() : ?T {\n switch (current) {\n case null null;\n case (?node) {\n current := node.next;\n ?node.value\n }\n }\n }\n }\n };\n\n public func reverseValues(self : Queue) : Iter.Iter {\n Iter.reverse(values(self))\n };\n\n /// Tests whether all elements in the queue satisfy the given predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([2, 4, 6].values());\n /// assert Queue.all(queue, func(x) { x % 2 == 0 });\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n public func all(self : Queue, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (not predicate(element)) {\n return false\n }\n };\n true\n };\n\n /// Tests whether any element in the queue satisfies the given predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.any(queue, func (x) { x > 2 });\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func any(self : Queue, predicate : T -> Bool) : Bool {\n for (element in values(self)) {\n if (predicate(element)) {\n return true\n }\n };\n false\n };\n\n /// Applies the given operation to all elements in the queue.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// var sum = 0;\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// Queue.forEach(queue, func(x) { sum += x });\n /// assert sum == 6;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func forEach(self : Queue, operation : T -> ()) {\n for (element in values(self)) {\n operation(element)\n }\n };\n\n /// Creates a new queue by applying the given function to all elements.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let doubled = Queue.map(queue, func(x) { x * 2 });\n /// assert Queue.peekFront(doubled) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func map(self : Queue, project : T -> U) : Queue {\n let result = empty();\n for (element in values(self)) {\n pushBack(result, project(element))\n };\n result\n };\n\n /// Creates a new queue containing only elements that satisfy the given predicate.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let evens = Queue.filter(queue, func(x) { x % 2 == 0 });\n /// assert Queue.size(evens) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func filter(self : Queue, criterion : T -> Bool) : Queue {\n let result = empty();\n for (element in values(self)) {\n if (criterion(element)) {\n pushBack(result, element)\n }\n };\n result\n };\n\n /// Creates a new queue by applying the given function to all elements\n /// and keeping only the non-null results.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3, 4].values());\n /// let evenDoubled = Queue.filterMap(\n /// queue,\n /// func(x) {\n /// if (x % 2 == 0) { ?(x * 2) } else { null }\n /// }\n /// );\n /// assert Queue.size(evenDoubled) == 2;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func filterMap(self : Queue, project : T -> ?U) : Queue {\n let result = empty();\n for (element in values(self)) {\n switch (project(element)) {\n case null {};\n case (?newElement) pushBack(result, newElement)\n }\n };\n result\n };\n\n /// Compares two queues for equality using the provided equality function.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2, 3].values());\n /// let queue2 = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.equal(queue1, queue2, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func equal(self : Queue, other : Queue, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) {\n return false\n };\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n let element1 = iterator1.next();\n let element2 = iterator2.next();\n switch (element1, element2) {\n case (null, null) {\n return true\n };\n case (?element1, ?element2) {\n if (not equal(element1, element2)) {\n return false\n }\n };\n case _ { return false }\n }\n }\n };\n\n /// Converts a queue to its string representation using the provided element formatter.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.toText(queue, Nat.toText) == \"Queue[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(n)\n /// `n` denotes the number of elements stored in the queue.\n public func toText(self : Queue, format : (implicit : (toText : T -> Text))) : Text {\n var text = \"Queue[\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # format(element);\n sep := \", \"\n };\n text #= \"]\";\n text\n };\n\n /// Compares two queues using the provided comparison function.\n /// Returns #less, #equal, or #greater.\n ///\n /// Example:\n /// ```motoko\n /// import Queue \"mo:core/Queue\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2].values());\n /// let queue2 = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.compare(queue1, queue2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: O(n)\n /// Space: O(1)\n /// `n` denotes the number of elements stored in the queue.\n public func compare(self : Queue, other : Queue, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n }\n}\n"},"Option.mo":{"content":"/// Typesafe nullable values.\n///\n/// Optional values can be seen as a typesafe `null`. A value of type `?Int` can\n/// be constructed with either `null` or `?42`. The simplest way to get at the\n/// contents of an optional is to use pattern matching:\n///\n/// ```motoko\n/// let optionalInt1 : ?Int = ?42;\n/// let optionalInt2 : ?Int = null;\n///\n/// let int1orZero : Int = switch optionalInt1 {\n/// case null 0;\n/// case (?int) int;\n/// };\n/// assert int1orZero == 42;\n///\n/// let int2orZero : Int = switch optionalInt2 {\n/// case null 0;\n/// case (?int) int;\n/// };\n/// assert int2orZero == 0;\n/// ```\n///\n/// The functions in this module capture some common operations when working\n/// with optionals that can be more succinct than using pattern matching.\n\nimport Runtime \"Runtime\";\nimport Types \"Types\";\n\nmodule {\n\n /// Unwraps an optional value, with a default value, i.e. `get(?x, d) = x` and\n /// `get(null, d) = d`.\n public func get(self : ?T, default : T) : T = switch self {\n case null { default };\n case (?x_) { x_ }\n };\n\n /// Unwraps an optional value using a function, or returns the default, i.e.\n /// `option(?x, f, d) = f x` and `option(null, f, d) = d`.\n public func getMapped(self : ?T, f : T -> R, default : R) : R = switch self {\n case null { default };\n case (?x_) { f(x_) }\n };\n\n /// Applies a function to the wrapped value. `null`'s are left untouched.\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// assert Option.map(?42, func x = x + 1) == ?43;\n /// assert Option.map(null, func x = x + 1) == null;\n /// ```\n public func map(self : ?T, f : T -> R) : ?R = switch self {\n case null { null };\n case (?x_) { ?f(x_) }\n };\n\n /// Applies a function to the wrapped value, but discards the result. Use\n /// `forEach` if you're only interested in the side effect `f` produces.\n ///\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// var counter : Nat = 0;\n /// Option.forEach(?5, func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// Option.forEach(null, func (x : Nat) { counter += x });\n /// assert counter == 5;\n /// ```\n public func forEach(self : ?T, f : T -> ()) = switch self {\n case null {};\n case (?x_) { f(x_) }\n };\n\n /// Applies an optional function to an optional value. Returns `null` if at\n /// least one of the arguments is `null`.\n public func apply(self : ?T, f : ?(T -> R)) : ?R {\n switch (f, self) {\n case (?f_, ?x_) { ?f_(x_) };\n case (_, _) { null }\n }\n };\n\n /// Applies a function to an optional value. Returns `null` if the argument is\n /// `null`, or the function returns `null`.\n public func chain(self : ?T, f : T -> ?R) : ?R {\n switch (self) {\n case (?x_) { f(x_) };\n case (null) { null }\n }\n };\n\n /// Given an optional optional value, removes one layer of optionality.\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// assert Option.flatten(?(?(42))) == ?42;\n /// assert Option.flatten(?(null)) == null;\n /// assert Option.flatten(null) == null;\n /// ```\n public func flatten(self : ??T) : ?T {\n chain(self, func(x_ : ?T) : ?T = x_)\n };\n\n /// Creates an optional value from a definite value.\n /// ```motoko\n /// import Option \"mo:core/Option\";\n /// assert Option.some(42) == ?42;\n /// ```\n public func some(self : T) : ?T = ?self;\n\n /// Returns true if the argument is not `null`, otherwise returns false.\n public func isSome(self : ?Any) : Bool {\n self != null\n };\n\n /// Returns true if the argument is `null`, otherwise returns false.\n public func isNull(self : ?Any) : Bool {\n self == null\n };\n\n /// Returns true if the optional arguments are equal according to the equality function provided, otherwise returns false.\n public func equal(self : ?T, other : ?T, eq : (implicit : (equal : (T, T) -> Bool))) : Bool = switch (self, other) {\n case (null, null) { true };\n case (?x_, ?y_) { eq(x_, y_) };\n case (_, _) { false }\n };\n\n /// Compares two optional values using the provided comparison function.\n ///\n /// Returns:\n /// - `#equal` if both values are `null`,\n /// - `#less` if the first value is `null` and the second is not,\n /// - `#greater` if the first value is not `null` and the second is,\n /// - the result of the comparison function when both values are not `null`.\n public func compare(self : ?T, other : ?T, compare : (implicit : (T, T) -> Types.Order)) : Types.Order = switch (self, other) {\n case (null, null) #equal;\n case (null, _) #less;\n case (_, null) #greater;\n case (?x_, ?y_) { compare(x_, y_) }\n };\n\n /// Unwraps an optional value, i.e. `unwrap(?x) = x`.\n ///\n /// `Option.unwrap()` fails if the argument is null. Consider using a `switch` or `do?` expression instead.\n public func unwrap(self : ?T) : T = switch self {\n case null { Runtime.trap(\"Option.unwrap()\") };\n case (?x_) { x_ }\n };\n\n /// Returns the textural representation of an optional value for debugging purposes.\n public func toText(self : ?T, toText : (implicit : T -> Text)) : Text = switch self {\n case null { \"null\" };\n case (?x_) { \"?\" # toText(x_) }\n };\n\n}\n"},"Int.mo":{"content":"/// Signed integer numbers with infinite precision (also called big integers).\n///\n/// Most operations on integer numbers (e.g. addition) are available as built-in operators (e.g. `-1 + 1`).\n/// This module provides equivalent functions and `Text` conversion.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Int \"mo:core/Int\";\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Char \"Char\";\nimport Runtime \"Runtime\";\nimport Iter \"Iter\";\nimport Order \"Order\";\n\nmodule {\n\n /// Infinite precision signed integers.\n public type Int = Prim.Types.Int;\n\n /// Returns the absolute value of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.abs(-12) == 12;\n /// ```\n public let abs : (x : Int) -> Nat = Prim.abs;\n\n /// Converts an integer number to its textual representation. Textual\n /// representation _do not_ contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toText(-1234) == \"-1234\";\n /// ```\n public func toText(self : Int) : Text {\n if (self == 0) {\n return \"0\"\n };\n\n let isNegative = self < 0;\n var int = if isNegative { -self } else { self };\n\n var text = \"\";\n let base = 10;\n\n while (int > 0) {\n let rem = int % base;\n text := (\n switch (rem) {\n case 0 { \"0\" };\n case 1 { \"1\" };\n case 2 { \"2\" };\n case 3 { \"3\" };\n case 4 { \"4\" };\n case 5 { \"5\" };\n case 6 { \"6\" };\n case 7 { \"7\" };\n case 8 { \"8\" };\n case 9 { \"9\" };\n case _ { Runtime.unreachable() }\n }\n ) # text;\n int := int / base\n };\n\n return if isNegative { \"-\" # text } else { text }\n };\n\n /// Creates a integer from its textual representation. Returns `null`\n /// if the input is not a valid integer.\n ///\n /// The textual representation _must not_ contain underscores but may\n /// begin with a '+' or '-' character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromText(\"-1234\") == ?-1234;\n /// ```\n public func fromText(text : Text) : ?Int {\n if (text == \"\") {\n return null\n };\n var n = 0;\n var isFirst = true;\n var isNegative = false;\n var hasDigits = false;\n for (c in text.chars()) {\n if (isFirst and c == '+') {\n // Skip character\n } else if (isFirst and c == '-') {\n isNegative := true\n } else if (Char.isDigit(c)) {\n hasDigits := true;\n let charAsNat = Prim.nat32ToNat(Prim.charToNat32(c) -% Prim.charToNat32('0'));\n n := n * 10 + charAsNat\n } else {\n return null\n };\n isFirst := false\n };\n if (not hasDigits) {\n return null\n };\n ?(if (isNegative) { -n } else { n })\n };\n\n /// Creates a integer from its textual representation. Returns `null`\n /// if the input is not a valid integer.\n ///\n /// This functions is meant to be used with contextual-dot notation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert \"-1234\".toInt() == ?-1234;\n /// ```\n public func toInt(self : Text) : ?Int {\n fromText(self)\n };\n\n /// Converts an integer to a natural number. Traps if the integer is negative.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Debug \"mo:core/Debug\";\n /// assert Int.toNat(1234 : Int) == (1234 : Nat);\n /// ```\n public func toNat(self : Int) : Nat {\n if (self < 0) {\n Runtime.trap(\"Int.toNat(): negative input value\")\n } else {\n abs(self)\n }\n };\n\n /// Converts a natural number to an integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromNat(1234 : Nat) == (1234 : Int);\n /// ```\n public func fromNat(nat : Nat) : Int {\n nat : Int\n };\n\n /// Conversion to Float. May result in `Inf`.\n ///\n /// Note: The floating point number may be imprecise for large or small Int values.\n /// Returns `inf` if the integer is greater than the maximum floating point number.\n /// Returns `-inf` if the integer is less than the minimum floating point number.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toFloat(-123) == -123.0;\n /// ```\n public let toFloat : (self : Int) -> Float = Prim.intToFloat;\n\n /// Converts a signed integer with infinite precision to an 8-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt8(123) == (123 : Int8);\n /// ```\n public let toInt8 : (self : Int) -> Int8 = Prim.intToInt8;\n\n /// Converts a signed integer with infinite precision to a 16-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt16(12_345) == (12_345 : Int16);\n /// ```\n public let toInt16 : (self : Int) -> Int16 = Prim.intToInt16;\n\n /// Converts a signed integer with infinite precision to a 32-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt32(123_456) == (123_456 : Int32);\n /// ```\n public let toInt32 : (self : Int) -> Int32 = Prim.intToInt32;\n\n /// Converts a signed integer with infinite precision to a 64-bit signed integer.\n ///\n /// Traps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.toInt64(123_456_789) == (123_456_789 : Int64);\n /// ```\n public let toInt64 : (self : Int) -> Int64 = Prim.intToInt64;\n\n /// Converts an 8-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt8(123 : Int8) == 123;\n /// ```\n public let fromInt8 : (x : Int8) -> Int = Prim.int8ToInt;\n\n /// Converts a 16-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt16(12_345 : Int16) == 12_345;\n /// ```\n public let fromInt16 : (x : Int16) -> Int = Prim.int16ToInt;\n\n /// Converts a 32-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt32(123_456 : Int32) == 123_456;\n /// ```\n public let fromInt32 : (x : Int32) -> Int = Prim.int32ToInt;\n\n /// Converts a 64-bit signed integer to a signed integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.fromInt64(123_456_789 : Int64) == 123_456_789;\n /// ```\n public let fromInt64 : (x : Int64) -> Int = Prim.int64ToInt;\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.min(2, -3) == -3;\n /// ```\n public func min(x : Int, y : Int) : Int {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.max(2, -3) == 2;\n /// ```\n public func max(x : Int, y : Int) : Int {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Int types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.equal(-1, -1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Int = 1;\n /// let b : Int = -1;\n /// assert not Int.equal(a, b);\n /// ```\n public func equal(x : Int, y : Int) : Bool { x == y };\n\n /// Inequality function for Int types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.notEqual(-1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Int, y : Int) : Bool { x != y };\n\n /// \"Less than\" function for Int types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.less(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Int, y : Int) : Bool { x < y };\n\n /// \"Less than or equal\" function for Int types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.lessOrEqual(-2, 1);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Int, y : Int) : Bool { x <= y };\n\n /// \"Greater than\" function for Int types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.greater(1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Int, y : Int) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Int types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.greaterOrEqual(1, -2);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Int, y : Int) : Bool { x >= y };\n\n /// General-purpose comparison function for `Int`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.compare(-3, 2) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([1, -2, -3], Int.compare) == [-3, -2, 1];\n /// ```\n public func compare(x : Int, y : Int) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the negation of `x`, `-x` .\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.neg(123) == -123;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n public func neg(x : Int) : Int { -x };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n ///\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.add(1, -2) == -1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int.add) == -4;\n /// ```\n public func add(x : Int, y : Int) : Int { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n ///\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.sub(1, 2) == -1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 0, Int.sub) == 4;\n /// ```\n public func sub(x : Int, y : Int) : Int { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n ///\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.mul(-2, 3) == -6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([1, -2, -3], 1, Int.mul) == 6;\n /// ```\n public func mul(x : Int, y : Int) : Int { x * y };\n\n /// Returns the signed integer division of `x` by `y`, `x / y`.\n /// Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.div(6, -2) == -3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Int, y : Int) : Int { x / y };\n\n /// Returns the remainder of the signed integer division of `x` by `y`, `x % y`,\n /// which is defined as `x - x / y * y`.\n ///\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.rem(6, -4) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Int, y : Int) : Int { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n ///\n /// Traps when `y` is negative or `y > 2 ** 32 - 1`.\n /// No overflow since `Int` has infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Int.pow(-2, 3) == -8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Int, y : Int) : Int { x ** y };\n\n /// Returns an iterator over the integers from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Int, toExclusive : Int) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Int {\n if (n >= toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Int` values from the first to second argument with an exclusive upper bound,\n /// incrementing by the specified step size.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Int.rangeBy(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Int.rangeBy(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeBy(fromInclusive : Int, toExclusive : Int, step : Int) : Iter.Iter {\n if (step == 0) {\n Iter.empty()\n } else if (step > 0 and fromInclusive < toExclusive) {\n object {\n var n = fromInclusive;\n public func next() : ?Int {\n if (n >= toExclusive) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else if (step < 0 and fromInclusive > toExclusive) {\n object {\n var n = fromInclusive;\n public func next() : ?Int {\n if (n <= toExclusive) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else {\n Iter.empty()\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Int.rangeInclusive(3, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Int, to : Int) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n public func next() : ?Int {\n if (n > to) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive,\n /// incrementing by the specified step size.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Int.rangeByInclusive(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == ?7;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Int.rangeByInclusive(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == ?1;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `from == to`, return an iterator which only returns that value.\n ///\n /// Otherwise, if `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeByInclusive(from : Int, to : Int, step : Int) : Iter.Iter {\n if (from == to) {\n Iter.singleton(from)\n } else if (step == 0) {\n Iter.empty()\n } else if (step > 0 and from < to) {\n object {\n var n = from;\n public func next() : ?Int {\n if (n >= to + 1) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else if (step < 0 and from > to) {\n object {\n var n = from;\n public func next() : ?Int {\n if (n + 1 <= to) {\n null\n } else {\n let current = n;\n n += step;\n ?current\n }\n }\n }\n } else {\n Iter.empty()\n }\n };\n\n}\n"},"Char.mo":{"content":"/// Module for working with Characters (Unicode code points).\n///\n/// Characters in Motoko represent Unicode code points\n/// in the range 0 to 0x10FFFF, excluding the surrogate code points\n/// (0xD800 through 0xDFFF).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Char \"mo:core/Char\";\n/// ```\n///\n/// Some built in features not listed in this module:\n///\n/// * You can create a `Char` literal using single quotes, e.g. 'A', '1', '漢'\n/// * You can compare characters using `<`, `<=`, `==`, `!=`, `>=`, `>` operators\n/// * You can convert a single-character `Text` to a `Char` using `:Char` type annotation\n///\n/// For example:\n/// ```motoko include=import\n/// let char : Char = 'A';\n/// let unicodeChar = '漢';\n/// let digit = '7';\n/// assert Char.isDigit(digit);\n/// assert Char.toText(char) == \"A\";\n/// ```\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Characters represented as Unicode code points.\n public type Char = Prim.Types.Char;\n\n /// Convert character `char` to a word containing its Unicode scalar value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let char = 'A';\n /// let unicode = Char.toNat32(char);\n /// assert unicode == 65;\n /// ```\n public let toNat32 : (self : Char) -> Nat32 = Prim.charToNat32;\n\n /// Convert `w` to a character.\n /// Traps if `w` is not a valid Unicode scalar value.\n /// Value `w` is valid if, and only if, `w < 0xD800 or (0xE000 <= w and w <= 0x10FFFF)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let unicode : Nat32 = 65;\n /// let char = Char.fromNat32(unicode);\n /// assert char == 'A';\n /// ```\n public let fromNat32 : (nat32 : Nat32) -> Char = Prim.nat32ToChar;\n\n /// Convert character `char` to single character text.\n ///\n /// Example:\n /// ```motoko include=import\n /// let char = '漢';\n /// let text = Char.toText(char);\n /// assert text == \"漢\";\n /// ```\n public let toText : (self : Char) -> Text = Prim.charToText;\n\n // Not exposed pending multi-char implementation.\n private let _toUpper : (char : Char) -> Char = Prim.charToUpper;\n\n // Not exposed pending multi-char implementation.\n private let _toLower : (char : Char) -> Char = Prim.charToLower;\n\n /// Returns `true` when `char` is a decimal digit between `0` and `9`, otherwise `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isDigit('5');\n /// assert not Char.isDigit('A');\n /// ```\n public func isDigit(self : Char) : Bool {\n Prim.charToNat32(self) -% Prim.charToNat32('0') <= (9 : Nat32)\n };\n\n /// Returns whether `char` is a whitespace character.\n /// Whitespace characters include space, tab, newline, etc.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isWhitespace(' ');\n /// assert Char.isWhitespace('\\n');\n /// assert not Char.isWhitespace('A');\n /// ```\n public let isWhitespace : (self : Char) -> Bool = Prim.charIsWhitespace;\n\n /// Returns whether `char` is a lowercase character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isLower('a');\n /// assert not Char.isLower('A');\n /// ```\n public let isLower : (self : Char) -> Bool = Prim.charIsLowercase;\n\n /// Returns whether `char` is an uppercase character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isUpper('A');\n /// assert not Char.isUpper('a');\n /// ```\n public let isUpper : (self : Char) -> Bool = Prim.charIsUppercase;\n\n /// Returns whether `char` is an alphabetic character.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.isAlphabetic('A');\n /// assert Char.isAlphabetic('漢');\n /// assert not Char.isAlphabetic('1');\n /// ```\n public func isAlphabetic(self : Char) : Bool = Prim.charIsAlphabetic(self);\n\n /// Returns `a == b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.equal('A', 'A');\n /// assert not Char.equal('A', 'B');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func equal(self : Char, other : Char) : Bool { self == other };\n\n /// Returns `a != b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.notEqual('A', 'B');\n /// assert not Char.notEqual('A', 'A');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func notEqual(self : Char, other : Char) : Bool { self != other };\n\n /// Returns `a < b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.less('A', 'B');\n /// assert not Char.less('B', 'A');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func less(self : Char, other : Char) : Bool { self < other };\n\n /// Returns `a <= b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.lessOrEqual('A', 'A');\n /// assert Char.lessOrEqual('A', 'B');\n /// assert not Char.lessOrEqual('B', 'A');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func lessOrEqual(self : Char, other : Char) : Bool { self <= other };\n\n /// Returns `a > b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.greater('B', 'A');\n /// assert not Char.greater('A', 'B');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greater(self : Char, other : Char) : Bool { self > other };\n\n /// Returns `a >= b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.greaterOrEqual('B', 'A');\n /// assert Char.greaterOrEqual('A', 'A');\n /// assert not Char.greaterOrEqual('A', 'B');\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function value\n /// to pass to a higher order function.\n public func greaterOrEqual(self : Char, other : Char) : Bool { self >= other };\n\n /// Returns the order of `a` and `b`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Char.compare('A', 'B') == #less;\n /// assert Char.compare('B', 'A') == #greater;\n /// assert Char.compare('A', 'A') == #equal;\n /// ```\n public func compare(self : Char, other : Char) : { #less; #equal; #greater } {\n if (self < other) { #less } else if (self == other) { #equal } else {\n #greater\n }\n };\n\n}\n"},"Debug.mo":{"content":"/// Utility functions for debugging.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Debug \"mo:core/Debug\";\n/// ```\n\nimport Prim \"mo:⛔\";\nimport Runtime \"Runtime\";\n\nmodule {\n\n /// Prints `text` to output stream.\n ///\n /// NOTE: When running on an ICP network, all output is written to the [canister log](https://internetcomputer.org/docs/building-apps/canister-management/logs) with the exclusion of any output\n /// produced during the execution of non-replicated queries and composite queries.\n /// In other environments, like the interpreter and stand-alone wasm engines, the output is written to standard out.\n ///\n /// ```motoko include=import\n /// Debug.print \"Hello New World!\";\n /// Debug.print(debug_show(4)) // Often used with `debug_show` to convert values to Text\n /// ```\n public let print : (text : Text) -> () = Prim.debugPrint;\n\n /// Mark incomplete code with the `todo()` function.\n ///\n /// Each have calls are well-typed in all typing contexts, which\n /// trap in all execution contexts.\n ///\n /// ```motoko include=import\n /// func doSomethingComplex() {\n /// Debug.todo()\n /// };\n /// ```\n public func todo() : None {\n Runtime.trap(\"Debug.todo()\")\n };\n\n}\n"},"internal/SortHelper.mo":{"content":"import Runtime \"../Runtime\";\nimport Order \"../Order\";\nimport Prim \"mo:⛔\";\n\nmodule {\n let nat = Prim.nat32ToNat;\n\n // Must have: len <= 8\n // Use dest = buffer when sorting in place\n public func insertionSortSmall(buffer : [var T], dest : [var T], compare : (T, T) -> Order.Order, newFrom : Nat32, len : Nat32) {\n debug assert len > 0;\n switch (len) {\n case (1) {\n let index0 = nat(newFrom);\n dest[index0] := buffer[index0]\n };\n case (2) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let t0 = buffer[index0];\n let t1 = buffer[index1];\n switch (compare(t1, t0)) {\n case (#less) {\n dest[index0] := t1;\n dest[index1] := t0\n };\n case (_) {\n dest[index0] := t0;\n dest[index1] := t1\n }\n }\n };\n case (3) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n let t2 = buffer[index2];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n switch (compare(t2, t1)) {\n case (#less) {\n switch (compare(t2, t0)) {\n case (#less) {\n dest[index0] := t2;\n dest[index1] := t0;\n dest[index2] := t1\n };\n case (_) {\n dest[index0] := t0;\n dest[index1] := t2;\n dest[index2] := t1\n }\n }\n };\n case (_) {\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2\n }\n }\n };\n case (4) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n\n switch (compare(t3, t2)) {\n case (#less) {\n tv := t3;\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3\n };\n case (5) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4\n };\n case (6) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n let index5 = nat(newFrom +% 5);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n var t5 = buffer[index5];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4;\n dest[index5] := t5\n };\n case (7) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n let index5 = nat(newFrom +% 5);\n let index6 = nat(newFrom +% 6);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n var t5 = buffer[index5];\n var t6 = buffer[index6];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4;\n dest[index5] := t5;\n dest[index6] := t6\n };\n case (8) {\n let index0 = nat(newFrom);\n let index1 = nat(newFrom +% 1);\n let index2 = nat(newFrom +% 2);\n let index3 = nat(newFrom +% 3);\n let index4 = nat(newFrom +% 4);\n let index5 = nat(newFrom +% 5);\n let index6 = nat(newFrom +% 6);\n let index7 = nat(newFrom +% 7);\n var t0 = buffer[index0];\n var t1 = buffer[index1];\n var t2 = buffer[index2];\n var t3 = buffer[index3];\n var t4 = buffer[index4];\n var t5 = buffer[index5];\n var t6 = buffer[index6];\n var t7 = buffer[index7];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n tv := t7;\n switch (compare(tv, t6)) {\n case (#less) {\n t7 := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) { t6 := tv }\n }\n };\n case (_) {}\n };\n\n dest[index0] := t0;\n dest[index1] := t1;\n dest[index2] := t2;\n dest[index3] := t3;\n dest[index4] := t4;\n dest[index5] := t5;\n dest[index6] := t6;\n dest[index7] := t7\n };\n case (_) Runtime.trap(\"insertionSortSmall for len > 8 is not implemented.\")\n }\n };\n\n // sort from buffer to dest array at the given offset\n public func insertionSortSmallMove(buffer : [var T], dest : [var T], compare : (T, T) -> Order.Order, newFrom : Nat32, len : Nat32, offset : Nat32) {\n debug assert len > 0;\n switch (len) {\n case (1) {\n dest[nat(offset)] := buffer[nat(newFrom)]\n };\n case (2) {\n let t0 = buffer[nat(newFrom)];\n let t1 = buffer[nat(newFrom +% 1)];\n switch (compare(t1, t0)) {\n case (#less) {\n dest[nat(offset)] := t1;\n dest[nat(offset +% 1)] := t0\n };\n case (_) {\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1\n }\n }\n };\n case (3) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n let t2 = buffer[nat(newFrom +% 2)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n switch (compare(t2, t1)) {\n case (#less) {\n switch (compare(t2, t0)) {\n case (#less) {\n dest[nat(offset)] := t2;\n dest[nat(offset +% 1)] := t0;\n dest[nat(offset +% 2)] := t1\n };\n case (_) {\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t2;\n dest[nat(offset +% 2)] := t1\n }\n }\n };\n case (_) {\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2\n }\n }\n };\n case (4) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n\n switch (compare(t3, t2)) {\n case (#less) {\n tv := t3;\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3\n };\n case (5) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4\n };\n case (6) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n var t5 = buffer[nat(newFrom +% 5)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4;\n dest[nat(offset +% 5)] := t5\n };\n case (7) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n var t5 = buffer[nat(newFrom +% 5)];\n var t6 = buffer[nat(newFrom +% 6)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4;\n dest[nat(offset +% 5)] := t5;\n dest[nat(offset +% 6)] := t6\n };\n case (8) {\n var t0 = buffer[nat(newFrom)];\n var t1 = buffer[nat(newFrom +% 1)];\n var t2 = buffer[nat(newFrom +% 2)];\n var t3 = buffer[nat(newFrom +% 3)];\n var t4 = buffer[nat(newFrom +% 4)];\n var t5 = buffer[nat(newFrom +% 5)];\n var t6 = buffer[nat(newFrom +% 6)];\n var t7 = buffer[nat(newFrom +% 7)];\n\n switch (compare(t1, t0)) {\n case (#less) {\n let v = t1;\n t1 := t0;\n t0 := v\n };\n case (_) {}\n };\n var tv = t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) {}\n };\n tv := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) {}\n };\n tv := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) {}\n };\n tv := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) {}\n };\n tv := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) {}\n };\n tv := t7;\n switch (compare(tv, t6)) {\n case (#less) {\n t7 := t6;\n switch (compare(tv, t5)) {\n case (#less) {\n t6 := t5;\n switch (compare(tv, t4)) {\n case (#less) {\n t5 := t4;\n switch (compare(tv, t3)) {\n case (#less) {\n t4 := t3;\n switch (compare(tv, t2)) {\n case (#less) {\n t3 := t2;\n switch (compare(tv, t1)) {\n case (#less) {\n t2 := t1;\n switch (compare(tv, t0)) {\n case (#less) { t1 := t0; t0 := tv };\n case (_) { t1 := tv }\n }\n };\n case (_) { t2 := tv }\n }\n };\n case (_) { t3 := tv }\n }\n };\n case (_) { t4 := tv }\n }\n };\n case (_) { t5 := tv }\n }\n };\n case (_) { t6 := tv }\n }\n };\n case (_) {}\n };\n\n dest[nat(offset)] := t0;\n dest[nat(offset +% 1)] := t1;\n dest[nat(offset +% 2)] := t2;\n dest[nat(offset +% 3)] := t3;\n dest[nat(offset +% 4)] := t4;\n dest[nat(offset +% 5)] := t5;\n dest[nat(offset +% 6)] := t6;\n dest[nat(offset +% 7)] := t7\n };\n case (_) Runtime.trap(\"insertionSortSmall for len > 8 is not implemented.\")\n }\n }\n}\n"},"WeakReference.mo":{"content":"/// Module that implements a weak reference to an object.\n///\n/// ATTENTION: This functionality does not work with classical persistence (`--legacy-persistence` moc flag).\n///\n/// Usage example:\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import WeakReference \"mo:core/WeakReference\";\n/// ```\n\nimport Prim \"mo:⛔\"\n\nmodule {\n public type WeakReference = {\n ref : weak T\n };\n\n /// Allocate a new weak reference to the given object.\n ///\n /// The `obj` parameter is the object to allocate a weak reference for.\n /// Returns a new weak reference pointingto the given object.\n /// ```motoko include=import\n /// let obj = { x = 1 };\n /// let weakRef = WeakReference.allocate(obj);\n /// ```\n public func allocate(obj : T) : WeakReference {\n return { ref = Prim.allocWeakRef(obj) }\n };\n\n /// Get the value that the weak reference is pointing to.\n ///\n /// The `self` parameter is the weak reference pointing to the value the function returns.\n /// The function returns the value that the weak reference is pointing to,\n /// or `null` if the value has been collected by the garbage collector.\n /// ```motoko include=import\n /// let obj = { x = 1 };\n /// let weakRef = WeakReference.allocate(obj);\n /// let value = weakRef.get();\n /// ```\n public func get(self : WeakReference) : ?T {\n return Prim.weakGet(self.ref)\n };\n\n /// Check if the weak reference is still alive.\n ///\n /// The `self` parameter is the weak reference to check whether it is still alive.\n /// Returns `true` if the weak reference is still alive, `false` otherwise.\n /// False means that the value has been collected by the garbage collector.\n /// ```motoko include=import\n /// let obj = { x = 1 };\n /// let weakRef = WeakReference.allocate(obj);\n /// let isLive = weakRef.isLive();\n /// assert isLive == true;\n /// ```\n public func isLive(self : WeakReference) : Bool {\n return Prim.isLive(self.ref)\n };\n\n}\n"},"internal/PRNG.mo":{"content":"/// Collection of pseudo-random number generators\n///\n/// The algorithms deliver deterministic statistical randomness,\n/// not cryptographic randomness.\n///\n/// Algorithm 1: 128-bit Seiran PRNG\n/// See: https://github.com/andanteyk/prng-seiran\n///\n/// Algorithm 2: SFC64 and SFC32 (Chris Doty-Humphrey’s Small Fast Chaotic PRNG)\n/// See: https://numpy.org/doc/stable/reference/random/bit_generators/sfc64.html\n///\n/// Copyright: 2023 MR Research AG\n/// Main author: react0r-com\n/// Contributors: Timo Hanke (timohanke)\nimport Nat \"../Nat\";\n\nmodule {\n /// Constructs an SFC 64-bit generator.\n /// The recommended constructor arguments are: 24, 11, 3.\n ///\n /// Example:\n /// ```motoko\n /// import PRNG \"mo:core/internal/PRNG\";\n ///\n /// let rng = PRNG.SFC64(24, 11, 3);\n /// ```\n /// For convenience, the function `SFC64a()` returns a generator constructed\n /// with the recommended parameter set (24, 11, 3).\n public class SFC64(p : Nat64, q : Nat64, r : Nat64) {\n // state\n var a : Nat64 = 0;\n var b : Nat64 = 0;\n var c : Nat64 = 0;\n var d : Nat64 = 0;\n\n /// Initializes the PRNG state with a particular seed\n ///\n /// Example:\n /// ```motoko\n public func init(seed : Nat64) = init3(seed, seed, seed);\n\n /// Initializes the PRNG state with a hardcoded seed.\n /// No argument is required.\n ///\n /// Example:\n public func initPre() = init(0xcafef00dbeef5eed);\n\n /// Initializes the PRNG state with three state variables\n ///\n /// Example:\n public func init3(seed1 : Nat64, seed2 : Nat64, seed3 : Nat64) {\n a := seed1;\n b := seed2;\n c := seed3;\n d := 1;\n\n for (_ in Nat.range(0, 11)) ignore next()\n };\n\n /// Returns one output and advances the PRNG's state\n ///\n /// Example:\n public func next() : Nat64 {\n let tmp = a +% b +% d;\n a := b ^ (b >> q);\n b := c +% (c << r);\n c := (c <<> p) +% tmp;\n d +%= 1;\n tmp\n }\n };\n\n /// SFC64a is the same as numpy.\n /// See: [sfc64_next()](https:///github.com/numpy/numpy/blob/b6d372c25fab5033b828dd9de551eb0b7fa55800/numpy/random/src/sfc64/sfc64.h#L28)\n public func sfc64a() : SFC64 { SFC64(24, 11, 3) }\n}\n"},"Region.mo":{"content":"/// Byte-level access to isolated, virtual stable memory regions.\n///\n/// This is a moderately lightweight abstraction over IC _stable memory_ and supports persisting\n/// regions of binary data across Motoko upgrades.\n/// Use of this module is fully compatible with Motoko's use of\n/// _stable variables_, whose persistence mechanism also uses (real) IC stable memory internally, but does not interfere with this API.\n/// It is also fully compatible with existing uses of the `ExperimentalStableMemory` library, which has a similar interface, but,\n/// only supported a single memory region, without isolation between different applications.\n///\n/// The `Region` type is stable and can be used in stable data structures.\n///\n/// A new, empty `Region` is allocated using function `new()`.\n///\n/// Regions are stateful objects and can be distinguished by the numeric identifier returned by function `id(region)`.\n/// Every region owns an initially empty, but growable sequence of virtual IC stable memory pages.\n/// The current size, in pages, of a region is returned by function `size(region)`.\n/// The size of a region determines the range, [ 0, ..., size(region)*2^16 ), of valid byte-offsets into the region; these offsets are used as the source and destination of `load`/`store` operations on the region.\n///\n/// Memory is allocated to a region, using function `grow(region, pages)`, sequentially and on demand, in units of 64KiB logical pages, starting with 0 allocated pages.\n/// A call to `grow` may succeed, returning the previous size of the region, or fail, returning a sentinel value. New pages are zero initialized.\n///\n/// A size of a region can only grow and never shrink.\n/// In addition, the stable memory pages allocated to a region will *not* be reclaimed by garbage collection, even\n/// if the region object itself becomes unreachable.\n///\n/// Growth is capped by a soft limit on physical page count controlled by compile-time flag\n/// `--max-stable-pages ` (the default is 65536, or 4GiB).\n///\n/// Each `load` operation loads from region relative byte address `offset` in little-endian\n/// format using the natural bit-width of the type in question.\n/// The operation traps if attempting to read beyond the current region size.\n///\n/// Each `store` operation stores to region relative byte address `offset` in little-endian format using the natural bit-width of the type in question.\n/// The operation traps if attempting to write beyond the current region size.\n///\n/// Text values can be handled by using `Text.decodeUtf8` and `Text.encodeUtf8`, in conjunction with `loadBlob` and `storeBlob`.\n///\n/// The current region allocation and region contents are preserved across upgrades.\n///\n/// NB: The IC's actual stable memory size (`ic0.stable_size`) may exceed the\n/// total page size reported by summing all regions sizes.\n/// This (and the cap on growth) are to accommodate Motoko's stable variables and bookkeeping for regions.\n/// Applications that plan to use Motoko stable variables sparingly or not at all can\n/// increase `--max-stable-pages` as desired, approaching the IC maximum (initially 8GiB, then 32Gib, currently 64Gib).\n/// All applications should reserve at least one page for stable variable data, even when no stable variables are used.\n///\n/// Usage:\n/// ```motoko no-repl name=import\n/// import Region \"mo:core/Region\";\n/// ```\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// A stateful handle to an isolated region of IC stable memory.\n /// `Region` is a stable type and regions can be stored in stable variables.\n /// @deprecated M0235\n public type Region = Prim.Types.Region;\n\n /// Allocate a new, isolated Region of size 0.\n ///\n /// Example:\n ///\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// assert Region.size(region) == 0;\n /// }\n /// }\n /// ```\n public let new : () -> Region = Prim.regionNew;\n\n /// Return a Nat identifying the given region.\n /// May be used for equality, comparison and hashing.\n /// NB: Regions returned by `new()` are numbered from 16\n /// (regions 0..15 are currently reserved for internal use).\n /// Allocate a new, isolated Region of size 0.\n ///\n /// Example:\n ///\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// assert Region.id(region) == 16;\n /// }\n /// }\n /// ```\n public let id : (self : Region) -> Nat = Prim.regionId;\n\n /// Current size of `region`, in pages.\n /// Each page is 64KiB (65536 bytes).\n /// Initially `0`.\n /// Preserved across upgrades, together with contents of allocated\n /// stable memory.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let beforeSize = Region.size(region);\n /// ignore Region.grow(region, 10);\n /// let afterSize = Region.size(region);\n /// assert afterSize - beforeSize == 10;\n /// }\n /// }\n /// ```\n public let size : (self : Region) -> (pages : Nat64) = Prim.regionSize;\n\n /// Grow current `size` of `region` by the given number of pages.\n /// Each page is 64KiB (65536 bytes).\n /// Returns the previous `size` when able to grow.\n /// Returns `0xFFFF_FFFF_FFFF_FFFF` if remaining pages insufficient.\n /// Every new page is zero-initialized, containing byte 0x00 at every offset.\n /// Function `grow` is capped by a soft limit on `size` controlled by compile-time flag\n /// `--max-stable-pages ` (the default is 65536, or 4GiB).\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// import Error \"mo:core/Error\";\n ///\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let beforeSize = Region.grow(region, 10);\n /// if (beforeSize == 0xFFFF_FFFF_FFFF_FFFF) {\n /// throw Error.reject(\"Out of memory\");\n /// };\n /// let afterSize = Region.size(region);\n /// assert afterSize - beforeSize == 10;\n /// }\n /// }\n /// ```\n public let grow : (self : Region, newPages : Nat64) -> (oldPages : Nat64) = Prim.regionGrow;\n\n /// Within `region`, load a `Nat8` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat8 = 123;\n /// Region.storeNat8(region, offset, value);\n /// assert Region.loadNat8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat8 : (self : Region, offset : Nat64) -> Nat8 = Prim.regionLoadNat8;\n\n /// Within `region`, store a `Nat8` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat8 = 123;\n /// Region.storeNat8(region, offset, value);\n /// assert Region.loadNat8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeNat8 : (self : Region, offset : Nat64, value : Nat8) -> () = Prim.regionStoreNat8;\n\n /// Within `region`, load a `Nat16` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat16 = 123;\n /// Region.storeNat16(region, offset, value);\n /// assert Region.loadNat16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat16 : (self : Region, offset : Nat64) -> Nat16 = Prim.regionLoadNat16;\n\n /// Within `region`, store a `Nat16` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat16 = 123;\n /// Region.storeNat16(region, offset, value);\n /// assert Region.loadNat16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeNat16 : (self : Region, offset : Nat64, value : Nat16) -> () = Prim.regionStoreNat16;\n\n /// Within `region`, load a `Nat32` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat32 = 123;\n /// Region.storeNat32(region, offset, value);\n /// assert Region.loadNat32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat32 : (self : Region, offset : Nat64) -> Nat32 = Prim.regionLoadNat32;\n\n /// Within `region`, store a `Nat32` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat32 = 123;\n /// Region.storeNat32(region, offset, value);\n /// assert Region.loadNat32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public func storeNat32(self : Region, offset : Nat64, value : Nat32) : () = Prim.regionStoreNat32(self, offset, value);\n\n /// Within `region`, load a `Nat64` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat64 = 123;\n /// Region.storeNat64(region, offset, value);\n /// assert Region.loadNat64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadNat64 : (self : Region, offset : Nat64) -> Nat64 = Prim.regionLoadNat64;\n\n /// Within `region`, store a `Nat64` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Nat64 = 123;\n /// Region.storeNat64(region, offset, value);\n /// assert Region.loadNat64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeNat64 : (self : Region, offset : Nat64, value : Nat64) -> () = Prim.regionStoreNat64;\n\n /// Within `region`, load a `Int8` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int8 = 123;\n /// Region.storeInt8(region, offset, value);\n /// assert Region.loadInt8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt8 : (self : Region, offset : Nat64) -> Int8 = Prim.regionLoadInt8;\n\n /// Within `region`, store a `Int8` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int8 = 123;\n /// Region.storeInt8(region, offset, value);\n /// assert Region.loadInt8(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt8 : (self : Region, offset : Nat64, value : Int8) -> () = Prim.regionStoreInt8;\n\n /// Within `region`, load a `Int16` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int16 = 123;\n /// Region.storeInt16(region, offset, value);\n /// assert Region.loadInt16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt16 : (self : Region, offset : Nat64) -> Int16 = Prim.regionLoadInt16;\n\n /// Within `region`, store a `Int16` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int16 = 123;\n /// Region.storeInt16(region, offset, value);\n /// assert Region.loadInt16(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt16 : (self : Region, offset : Nat64, value : Int16) -> () = Prim.regionStoreInt16;\n\n /// Within `region`, load a `Int32` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int32 = 123;\n /// Region.storeInt32(region, offset, value);\n /// assert Region.loadInt32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt32 : (self : Region, offset : Nat64) -> Int32 = Prim.regionLoadInt32;\n\n /// Within `region`, store a `Int32` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int32 = 123;\n /// Region.storeInt32(region, offset, value);\n /// assert Region.loadInt32(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt32 : (self : Region, offset : Nat64, value : Int32) -> () = Prim.regionStoreInt32;\n\n /// Within `region`, load a `Int64` value from `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int64 = 123;\n /// Region.storeInt64(region, offset, value);\n /// assert Region.loadInt64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let loadInt64 : (self : Region, offset : Nat64) -> Int64 = Prim.regionLoadInt64;\n\n /// Within `region`, store a `Int64` value at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value : Int64 = 123;\n /// Region.storeInt64(region, offset, value);\n /// assert Region.loadInt64(region, offset) == 123;\n /// }\n /// }\n /// ```\n public let storeInt64 : (self : Region, offset : Nat64, value : Int64) -> () = Prim.regionStoreInt64;\n\n /// Within `region`, loads a `Float` value from the given `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = 1.25;\n /// Region.storeFloat(region, offset, value);\n /// assert Region.loadFloat(region, offset) == 1.25;\n /// }\n /// }\n /// ```\n public let loadFloat : (self : Region, offset : Nat64) -> Float = Prim.regionLoadFloat;\n\n /// Within `region`, store float `value` at the given `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = 1.25;\n /// Region.storeFloat(region, offset, value);\n /// assert Region.loadFloat(region, offset) == 1.25;\n /// }\n /// }\n /// ```\n public let storeFloat : (self : Region, offset : Nat64, value : Float) -> () = Prim.regionStoreFloat;\n\n /// Within `region,` load `size` bytes starting from `offset` as a `Blob`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// import Blob \"mo:core/Blob\";\n ///\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = Blob.fromArray([1, 2, 3]);\n /// let size = value.size();\n /// Region.storeBlob(region, offset, value);\n /// assert Blob.toArray(Region.loadBlob(region, offset, size)) == [1, 2, 3];\n /// }\n /// }\n /// ```\n public let loadBlob : (self : Region, offset : Nat64, size : Nat) -> Blob = Prim.regionLoadBlob;\n\n /// Within `region, write `blob.size()` bytes of `blob` beginning at `offset`.\n /// Traps on an out-of-bounds access.\n ///\n /// Example:\n /// ```motoko no-repl include=import\n /// import Blob \"mo:core/Blob\";\n ///\n /// persistent actor {\n /// public func example() : async () {\n /// let region = Region.new();\n /// let offset : Nat64 = 0;\n /// let value = Blob.fromArray([1, 2, 3]);\n /// let size = value.size();\n /// Region.storeBlob(region, offset, value);\n /// assert Blob.toArray(Region.loadBlob(region, offset, size)) == [1, 2, 3];\n /// }\n /// }\n /// ```\n public let storeBlob : (self : Region, offset : Nat64, value : Blob) -> () = Prim.regionStoreBlob;\n\n}\n"},"Nat.mo":{"content":"/// Natural numbers with infinite precision.\n///\n/// Most operations on natural numbers (e.g. addition) are available as built-in operators (e.g. `1 + 1`).\n/// This module provides equivalent functions and `Text` conversion.\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat \"mo:core/Nat\";\n/// ```\n\nimport Int \"Int\";\nimport Prim \"mo:⛔\";\nimport Char \"Char\";\nimport Iter \"Iter\";\nimport Runtime \"Runtime\";\nimport Order \"Order\";\n\nmodule {\n\n /// Infinite precision natural numbers.\n public type Nat = Prim.Types.Nat;\n\n /// Converts a natural number to its textual representation. Textual\n /// representation _do not_ contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toText(1234) == \"1234\";\n /// ```\n public let toText : (self : Nat) -> Text = Int.toText;\n\n /// Creates a natural number from its textual representation. Returns `null`\n /// if the input is not a valid natural number.\n ///\n /// The textual representation _must not_ contain underscores.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromText(\"1234\") == ?1234;\n /// ```\n public func fromText(text : Text) : ?Nat {\n if (text == \"\") {\n return null\n };\n var n = 0;\n for (c in text.chars()) {\n if (Char.isDigit(c)) {\n let charAsNat = Prim.nat32ToNat(Prim.charToNat32(c) -% Prim.charToNat32('0'));\n n := n * 10 + charAsNat\n } else {\n return null\n }\n };\n ?n\n };\n\n /// Creates a natural number from its textual representation. Returns `null`\n /// if the input is not a valid natural number.\n ///\n /// The textual representation _must not_ contain underscores.\n ///\n /// This functions is meant to be used with contextual-dot notation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert \"1234\".toNat() == ?1234;\n /// ```\n public let toNat : (self : Text) -> ?Nat = fromText;\n\n /// Converts an integer to a natural number. Traps if the integer is negative.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromInt(1234) == (1234 : Nat);\n /// ```\n /// @deprecated M0235\n public func fromInt(int : Int) : Nat {\n if (int < 0) {\n Runtime.trap(\"Nat.fromInt(): negative input value\")\n } else {\n Int.abs(int)\n }\n };\n\n /// Conversion to Float. May result in `Inf`.\n ///\n /// Note: The floating point number may be imprecise for large Nat values.\n /// Returns `inf` if the integer is greater than the maximum floating point number.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toFloat(123) == 123.0;\n /// ```\n public let toFloat : (self : Nat) -> Float = Int.toFloat;\n\n /// Converts a natural number to an integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toInt(1234) == 1234;\n /// ```\n public func toInt(self : Nat) : Int {\n self : Int\n };\n\n /// Converts an unsigned integer with infinite precision to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat8(123) == (123 : Nat8);\n /// ```\n public let toNat8 : (self : Nat) -> Nat8 = Prim.natToNat8;\n\n /// Converts an unsigned integer with infinite precision to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat16(123) == (123 : Nat16);\n /// ```\n public let toNat16 : (self : Nat) -> Nat16 = Prim.natToNat16;\n\n /// Converts an unsigned integer with infinite precision to a 32-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat32(123) == (123 : Nat32);\n /// ```\n public let toNat32 : (self : Nat) -> Nat32 = Prim.natToNat32;\n\n /// Converts an unsigned integer with infinite precision to a 64-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.toNat64(123) == (123 : Nat64);\n /// ```\n public let toNat64 : (self : Nat) -> Nat64 = Prim.natToNat64;\n\n /// Converts an 8-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat8(123) == (123 : Nat);\n /// ```\n public let fromNat8 : Nat8 -> Nat = Prim.nat8ToNat;\n\n /// Converts a 16-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat16(123) == (123 : Nat);\n /// ```\n public let fromNat16 : Nat16 -> Nat = Prim.nat16ToNat;\n\n /// Converts a 32-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat32(123) == (123 : Nat);\n /// ```\n public let fromNat32 : Nat32 -> Nat = Prim.nat32ToNat;\n\n /// Converts a 64-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.fromNat64(123) == (123 : Nat);\n /// ```\n public let fromNat64 : Nat64 -> Nat = Prim.nat64ToNat;\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.min(1, 2) == 1;\n /// ```\n public func min(x : Nat, y : Nat) : Nat {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.max(1, 2) == 2;\n /// ```\n public func max(x : Nat, y : Nat) : Nat {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.equal(1, 1);\n /// assert 1 == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a = 111;\n /// let b = 222;\n /// assert not Nat.equal(a, b);\n /// ```\n public func equal(x : Nat, y : Nat) : Bool { x == y };\n\n /// Inequality function for Nat types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.notEqual(1, 2);\n /// assert 1 != 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat, y : Nat) : Bool { x != y };\n\n /// \"Less than\" function for Nat types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.less(1, 2);\n /// assert 1 < 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat, y : Nat) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.lessOrEqual(1, 2);\n /// assert 1 <= 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat, y : Nat) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.greater(2, 1);\n /// assert 2 > 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat, y : Nat) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.greaterOrEqual(2, 1);\n /// assert 2 >= 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat, y : Nat) : Bool { x >= y };\n\n /// General purpose comparison function for `Nat`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1], Nat.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat, y : Nat) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`. This operator will never overflow\n /// because `Nat` is infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.add(1, 2) == 3;\n /// assert 1 + 2 == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat.add) == 6;\n /// ```\n public func add(x : Nat, y : Nat) : Nat { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow below `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.sub(2, 1) == 1;\n /// // Add a type annotation to avoid a warning about the subtraction\n /// assert 2 - 1 : Nat == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 10, Nat.sub) == 4;\n /// ```\n public func sub(x : Nat, y : Nat) : Nat { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`. This operator will never\n /// overflow because `Nat` is infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.mul(2, 3) == 6;\n /// assert 2 * 3 == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat.mul) == 6;\n /// ```\n public func mul(x : Nat, y : Nat) : Nat { x * y };\n\n /// Returns the unsigned integer division of `x` by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// The quotient is rounded down, which is equivalent to truncating the\n /// decimal places of the quotient.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.div(6, 2) == 3;\n /// assert 6 / 2 == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat, y : Nat) : Nat { x / y };\n\n /// Returns the remainder of unsigned integer division of `x` by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.rem(6, 4) == 2;\n /// assert 6 % 4 == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat, y : Nat) : Nat { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`. Traps when `y > 2^32`. This operator\n /// will never overflow because `Nat` is infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.pow(2, 3) == 8;\n /// assert 2 ** 3 == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat, y : Nat) : Nat { x ** y };\n\n /// Returns the (conceptual) bitwise shift left of `x` by `y`, `x * (2 ** y)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.bitshiftLeft(1, 3) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in absence\n /// of the `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. While `Nat` is not defined in terms\n /// of bit patterns, conceptually it can be regarded as such, and the operation\n /// is provided as a high-performance version of the corresponding arithmetic\n /// rule.\n public let bitshiftLeft : (x : Nat, y : Nat32) -> Nat = Prim.shiftLeft;\n\n /// Returns the (conceptual) bitwise shift right of `x` by `y`, `x / (2 ** y)`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat.bitshiftRight(8, 3) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in absence\n /// of the `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. While `Nat` is not defined in terms\n /// of bit patterns, conceptually it can be regarded as such, and the operation\n /// is provided as a high-performance version of the corresponding arithmetic\n /// rule.\n public let bitshiftRight : (x : Nat, y : Nat32) -> Nat = Prim.shiftRight;\n\n /// Returns an iterator over `Nat` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat, toExclusive : Nat) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat {\n if (n >= toExclusive) {\n return null\n };\n let current = n;\n n += 1;\n ?current\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat` values from the first to second argument with an exclusive upper bound,\n /// incrementing by the specified step size. The step can be positive or negative.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Nat.rangeBy(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Nat.rangeBy(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeBy(fromInclusive : Nat, toExclusive : Nat, step : Int) : Iter.Iter {\n if (step == 0 or (step > 0 and fromInclusive >= toExclusive) or (step < 0 and fromInclusive <= toExclusive)) {\n Iter.empty()\n } else if (step > 0) {\n object {\n let stepMagnitude = Int.abs(step);\n var n = fromInclusive;\n public func next() : ?Nat {\n if (n >= toExclusive) {\n return null\n };\n let current = n;\n n += stepMagnitude;\n ?current\n }\n }\n } else {\n object {\n let stepMagnitude = Int.abs(step);\n var n = fromInclusive;\n public func next() : ?Nat {\n if (n <= toExclusive) {\n return null\n };\n let current = n;\n if (stepMagnitude > n) {\n n := 0\n } else {\n n -= stepMagnitude\n };\n ?current\n }\n }\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.rangeInclusive(3, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat, to : Nat) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n public func next() : ?Nat {\n if (n > to) {\n return null\n };\n let current = n;\n n += 1;\n ?current\n }\n }\n }\n };\n\n /// Returns an iterator over the integers from the first to second argument, inclusive,\n /// incrementing by the specified step size. The step can be positive or negative.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// // Positive step\n /// let iter1 = Nat.rangeByInclusive(1, 7, 2);\n /// assert iter1.next() == ?1;\n /// assert iter1.next() == ?3;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == ?7;\n /// assert iter1.next() == null;\n ///\n /// // Negative step\n /// let iter2 = Nat.rangeByInclusive(7, 1, -2);\n /// assert iter2.next() == ?7;\n /// assert iter2.next() == ?5;\n /// assert iter2.next() == ?3;\n /// assert iter2.next() == ?1;\n /// assert iter2.next() == null;\n /// ```\n ///\n /// If `from == to`, return an iterator which only returns that value.\n ///\n /// Otherwise, if `step` is 0 or if the iteration would not progress towards the bound, returns an empty iterator.\n public func rangeByInclusive(from : Nat, to : Nat, step : Int) : Iter.Iter {\n if (from == to) {\n Iter.singleton(from)\n } else if (step == 0 or (step > 0 and from > to) or (step < 0 and from < to)) {\n Iter.empty()\n } else if (step > 0) {\n object {\n let stepMagnitude = Int.abs(step);\n var n = from;\n public func next() : ?Nat {\n if (n > to) {\n return null\n };\n let current = n;\n n += stepMagnitude;\n ?current\n }\n }\n } else {\n object {\n let stepMagnitude = Int.abs(step);\n var n = from;\n var done = false;\n public func next() : ?Nat {\n if (done) {\n null\n } else {\n let current = n;\n if (n < to + stepMagnitude) {\n done := true\n } else {\n n -= stepMagnitude\n };\n ?current\n }\n }\n }\n }\n };\n\n /// Returns an infinite iterator over all possible `Nat` values.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter = object {\n var n = 0;\n public func next() : ?Nat {\n let current = n;\n n += 1;\n ?current\n }\n };\n\n}\n"},"pure/Queue.mo":{"content":"/// Double-ended queue of a generic element type `T`.\n///\n/// The interface is purely functional, not imperative, and queues are immutable values.\n/// In particular, Queue operations such as push and pop do not update their input queue but, instead, return the\n/// value of the modified Queue, alongside any other data.\n/// The input queue is left unchanged.\n///\n/// Examples of use-cases:\n/// Queue (FIFO) by using `pushBack()` and `popFront()`.\n/// Stack (LIFO) by using `pushFront()` and `popFront()`.\n///\n/// A Queue is internally implemented as two lists, a head access list and a (reversed) tail access list,\n/// that are dynamically size-balanced by splitting.\n///\n/// Construction: Create a new queue with the `empty()` function.\n///\n/// Note on the costs of push and pop functions:\n/// * Runtime: `O(1)` amortized costs, `O(size)` worst case cost per single call.\n/// * Space: `O(1)` amortized costs, `O(size)` worst case cost per single call.\n///\n/// `n` denotes the number of elements stored in the queue.\n///\n/// Note that some operations that traverse the elements of the queue (e.g. `forEach`, `values`) preserve the order of the elements,\n/// whereas others (e.g. `map`, `contains`) do NOT guarantee that the elements are visited in any order.\n/// The order is undefined to avoid allocations, making these operations more efficient.\n///\n/// ```motoko name=import\n/// import Queue \"mo:core/pure/Queue\";\n/// ```\n\nimport Iter \"../Iter\";\nimport List \"List\";\nimport Order \"../Order\";\nimport Types \"../Types\";\nimport Array \"../Array\";\nimport Prim \"mo:⛔\";\n\nmodule {\n /// @deprecated M0235\n type List = Types.Pure.List;\n\n /// Double-ended queue data type.\n public type Queue = Types.Pure.Queue;\n\n /// Create a new empty queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func empty() : Queue = (null, 0, null);\n\n /// Determine whether a queue is empty.\n /// Returns true if `queue` is empty, otherwise `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.empty();\n /// assert Queue.isEmpty(queue);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func isEmpty(self : Queue) : Bool = self.1 == 0;\n\n /// Create a new queue comprising a single element.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(25);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func singleton(item : T) : Queue = (null, 1, ?(item, null));\n\n /// Determine the number of elements contained in a queue.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.singleton(42);\n /// assert Queue.size(queue) == 1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)` in Release profile (compiled with `--release` flag), `O(size)` otherwise.\n ///\n /// Space: `O(1)`.\n public func size(self : Queue) : Nat {\n debug assert self.1 == List.size(self.0) + List.size(self.2);\n self.1\n };\n\n /// Check if a queue contains a specific element.\n /// Returns true if the queue contains an element equal to `item` according to the `equal` function.\n ///\n /// Note: The order in which elements are visited is undefined, for performance reasons.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.contains(queue, Nat.equal, 2);\n /// assert not Queue.contains(queue, Nat.equal, 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func contains(self : Queue, equal : (implicit : (T, T) -> Bool), item : T) : Bool = List.contains(self.0, equal, item) or List.contains(self.2, equal, item);\n\n /// Inspect the optional element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the front element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekFront(self : Queue) : ?T = switch self {\n case ((?(x, _), _, _) or (_, _, ?(x, null))) ?x;\n case _ { debug assert List.isEmpty(self.2); null }\n };\n\n /// Inspect the optional element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, the back element of `queue`.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.peekBack(queue) == ?2;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n ///\n /// Space: `O(1)`.\n public func peekBack(self : Queue) : ?T = switch self {\n case ((_, _, ?(x, _)) or (?(x, null), _, _)) ?x;\n case _ { debug assert List.isEmpty(self.0); null }\n };\n\n // helper to rebalance the queue after getting lopsided\n func check(q : Queue) : Queue {\n switch q {\n case (null, n, r) {\n let (a, b) = List.split(r, n / 2);\n (List.reverse b, n, a)\n };\n case (f, n, null) {\n let (a, b) = List.split(f, n / 2);\n (a, n, List.reverse b)\n };\n case q q\n }\n };\n\n /// Insert a new element on the front end of a queue.\n /// Returns the new queue with `element` in the front followed by the elements of `queue`.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushFront(Queue.pushFront(Queue.empty(), 2), 1);\n /// assert Queue.peekFront(queue) == ?1;\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func pushFront(self : Queue, element : T) : Queue = check(?(element, self.0), self.1 + 1, self.2);\n\n /// Insert a new element on the back end of a queue.\n /// Returns the new queue with all the elements of `queue`, followed by `element` on the back.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// assert Queue.peekBack(queue) == ?2;\n /// assert Queue.size(queue) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func pushBack(self : Queue, element : T) : Queue = check(self.0, self.1 + 1, ?(element, self.2));\n\n /// Remove the element on the front end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// the first element and a new queue that contains all the remaining elements of `queue`.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// // initial queue with elements [1, 2]\n /// switch (Queue.popFront(initial)) {\n /// case null Runtime.trap \"Empty queue impossible\";\n /// case (?(frontElement, remainingQueue)) {\n /// assert frontElement == 1;\n /// assert Queue.size(remainingQueue) == 1\n /// }\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func popFront(self : Queue) : ?(T, Queue) = if (self.1 == 0) null else switch self {\n case (?(i, f), n, b) ?(i, (f, n - 1, b));\n case (null, _, ?(i, null)) ?(i, (null, 0, null));\n case _ popFront(check self)\n };\n\n /// Remove the element on the back end of a queue.\n /// Returns `null` if `queue` is empty. Otherwise, it returns a pair of\n /// a new queue that contains the remaining elements of `queue`\n /// and, as the second pair item, the removed back element.\n ///\n /// This may involve dynamic rebalancing of the two, internally used lists.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Runtime \"mo:core/Runtime\";\n ///\n /// persistent actor {\n /// let initial = Queue.pushBack(Queue.pushBack(Queue.empty(), 1), 2);\n /// // initial queue with elements [1, 2]\n /// let reduced = Queue.popBack(initial);\n /// switch reduced {\n /// case null Runtime.trap(\"Empty queue impossible\");\n /// case (?result) {\n /// let reducedQueue = result.0;\n /// let removedElement = result.1;\n /// assert removedElement == 2;\n /// assert Queue.size(reducedQueue) == 1;\n /// }\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// Space: `O(size)` worst-case, amortized to `O(1)`.\n ///\n /// `n` denotes the number of elements stored in the queue.\n public func popBack(self : Queue) : ?(Queue, T) = if (self.1 == 0) null else switch self {\n case (f, n, ?(i, b)) ?((f, n - 1, b), i);\n case (?(i, null), _, null) ?((null, 0, null), i);\n case _ popBack(check self)\n };\n\n /// Turn an iterator into a queue, consuming it.\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2, 3, 4].values());\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromIter(iter : Iter.Iter) : Queue {\n let list = List.fromIter iter;\n check(list, List.size list, null)\n };\n\n /// Convert an iterator to a queue, consuming it.\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// transient let iter = [0, 1, 2, 3, 4].values();\n ///\n /// let queue = iter.toQueue();\n /// assert Queue.size(queue) == 5;\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toQueue(self : Iter.Iter) : Queue {\n fromIter(self)\n };\n\n /// Create a queue from an array.\n /// Elements appear in the same order as in the array.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// assert Queue.size(queue) == 3;\n /// assert Queue.peekFront(queue) == ?\"A\";\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func fromArray(array : [T]) : Queue {\n let list = List.fromArray array;\n check(list, array.size(), null)\n };\n\n /// Create an immutable array from a queue.\n /// Elements appear in the same order as in the queue (front to back).\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromArray([\"A\", \"B\", \"C\"]);\n /// let array = Queue.toArray(queue);\n /// assert array == [\"A\", \"B\", \"C\"];\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func toArray(self : Queue) : [T] {\n let iter = values(self);\n Array.tabulate(\n self.1,\n func(i) {\n switch (iter.next()) {\n case null {\n Prim.trap(\"pure/Queue.toArray: unexpected end of iterator\")\n };\n case (?value) { value }\n }\n }\n )\n };\n\n /// Convert a queue to an iterator of its elements in front-to-back order.\n ///\n /// Performance note: Creating the iterator needs `O(size)` runtime and space!\n ///\n /// Example:\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Iter.toArray(Queue.values(queue)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func values(self : Queue) : Iter.Iter = Iter.concat(List.values(self.0), List.values(List.reverse(self.2)));\n\n /// Compare two queues for equality using the provided equality function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2].values());\n /// let queue2 = Queue.fromIter([1, 2].values());\n /// let queue3 = Queue.fromIter([1, 3].values());\n /// assert Queue.equal(queue1, queue2, Nat.equal);\n /// assert not Queue.equal(queue1, queue3, Nat.equal);\n /// }\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n public func equal(self : Queue, other : Queue, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (self.1 != other.1) {\n return false\n };\n let (iter1, iter2) = (values(self), values(other));\n loop {\n switch (iter1.next(), iter2.next()) {\n case (null, null) { return true };\n case (?v1, ?v2) {\n if (not equal(v1, v2)) { return false }\n };\n case (_, _) { return false }\n }\n }\n };\n\n /// Return true if the given predicate `f` is true for all queue\n /// elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let allGreaterThanOne = Queue.all(queue, func n = n > 1);\n /// assert not allGreaterThanOne; // false because 1 is not > 1\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func all(self : Queue, predicate : T -> Bool) : Bool {\n for (item in values self) if (not (predicate item)) return false;\n return true\n };\n\n /// Return true if there exists a queue element for which\n /// the given predicate `f` is true.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let hasGreaterThanOne = Queue.any(queue, func n = n > 1);\n /// assert hasGreaterThanOne; // true because 2 and 3 are > 1\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)` as the current implementation uses `values` to iterate over the queue.\n ///\n /// *Runtime and space assumes that the `predicate` runs in `O(1)` time and space.\n public func any(self : Queue, predicate : T -> Bool) : Bool {\n for (item in values self) if (predicate item) return true;\n return false\n };\n\n /// Call the given function for its side effect, with each queue element in turn.\n /// The order of visiting elements is front-to-back.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// var text = \"\";\n /// let queue = Queue.fromIter([\"A\", \"B\", \"C\"].values());\n /// Queue.forEach(queue, func n = text #= n);\n /// assert text == \"ABC\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func forEach(self : Queue, f : T -> ()) = for (item in values self) f item;\n\n /// Call the given function `f` on each queue element and collect the results\n /// in a new queue.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2].values());\n /// let textQueue = Queue.map(queue, Nat.toText);\n /// assert Iter.toArray(Queue.values(textQueue)) == [\"0\", \"1\", \"2\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func map(self : Queue, f : T1 -> T2) : Queue {\n let (fr, n, b) = self;\n (List.map(fr, f), n, List.map(b, f))\n };\n\n /// Create a new queue with only those elements of the original queue for which\n /// the given function (often called the _predicate_) returns true.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([0, 1, 2, 1].values());\n /// let filtered = Queue.filter(queue, func n = n != 1);\n /// assert Queue.size(filtered) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func filter(self : Queue, predicate : T -> Bool) : Queue {\n let (fr, _, b) = self;\n let front = List.filter(fr, predicate);\n let back = List.filter(b, predicate);\n check(front, List.size front + List.size back, back)\n };\n\n /// Call the given function on each queue element, and collect the non-null results\n /// in a new queue.\n ///\n /// Note: The order of visiting elements is undefined with the current implementation.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let doubled = Queue.filterMap(\n /// queue,\n /// func n = if (n > 1) ?(n * 2) else null\n /// );\n /// assert Queue.size(doubled) == 2;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func filterMap(self : Queue, f : T -> ?U) : Queue {\n let (fr, _n, b) = self;\n let front = List.filterMap(fr, f);\n let back = List.filterMap(b, f);\n check(front, List.size front + List.size back, back)\n };\n\n /// Convert a queue to its text representation using the provided conversion function.\n /// This function is meant to be used for debugging and testing purposes.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// assert Queue.toText(queue, Nat.toText) == \"PureQueue[1, 2, 3]\";\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func toText(self : Queue, f : (implicit : (toText : T -> Text))) : Text {\n var text = \"PureQueue[\";\n func add(item : T) {\n if (text.size() > 10) text #= \", \";\n text #= f(item)\n };\n List.forEach(self.0, add);\n List.forEach(List.reverse(self.2), add);\n text # \"]\"\n };\n\n /// Compare two queues using lexicographic ordering specified by argument function `compareItem`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let queue1 = Queue.fromIter([1, 2].values());\n /// let queue2 = Queue.fromIter([1, 3].values());\n /// assert Queue.compare(queue1, queue2, Nat.compare) == #less;\n /// }\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that argument `compareItem` runs in `O(1)` time and space.\n public func compare(self : Queue, other : Queue, compareItem : (implicit : (compare : (T, T) -> Order.Order))) : Order.Order {\n let (i1, i2) = (values self, values other);\n loop switch (i1.next(), i2.next()) {\n case (?v1, ?v2) switch (compareItem(v1, v2)) {\n case (#equal) ();\n case c return c\n };\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater\n }\n };\n\n /// Reverse the order of elements in a queue.\n /// This operation is cheap, it does NOT require copying the elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// persistent actor {\n /// let queue = Queue.fromIter([1, 2, 3].values());\n /// let reversed = Queue.reverse(queue);\n /// assert Queue.peekFront(reversed) == ?3;\n /// assert Queue.peekBack(reversed) == ?1;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func reverse(self : Queue) : Queue = (self.2, self.1, self.0)\n}\n"},"Time.mo":{"content":"/// System time utilities and timers.\n///\n/// The following example illustrates using the system time:\n///\n/// ```motoko\n/// import Int = \"mo:core/Int\";\n/// import Time = \"mo:core/Time\";\n///\n/// persistent actor {\n/// var lastTime = Time.now();\n///\n/// public func greet(name : Text) : async Text {\n/// let now = Time.now();\n/// let elapsedSeconds = (now - lastTime) / 1000_000_000;\n/// lastTime := now;\n/// return \"Hello, \" # name # \"!\" #\n/// \" I was last called \" # Int.toText(elapsedSeconds) # \" seconds ago\";\n/// };\n/// };\n/// ```\n///\n/// Note: If `moc` is invoked with `-no-timer`, the importing will fail.\n/// Note: The resolution of the timers is in the order of the block rate,\n/// so durations should be chosen well above that. For frequent\n/// canister wake-ups the heartbeat mechanism should be considered.\n\nimport Types \"Types\";\nimport Nat \"Nat\";\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// System time is represent as nanoseconds since 1970-01-01.\n public type Time = Types.Time;\n\n /// Quantity of time expressed in `#days`, `#hours`, `#minutes`, `#seconds`, `#milliseconds`, or `#nanoseconds`.\n public type Duration = Types.Duration;\n\n /// Current system time given as nanoseconds since 1970-01-01. The system guarantees that:\n ///\n /// * the time, as observed by the canister smart contract, is monotonically increasing, even across canister upgrades.\n /// * within an invocation of one entry point, the time is constant.\n ///\n /// The system times of different canisters are unrelated, and calls from one canister to another may appear to travel \"backwards in time\"\n ///\n /// Note: While an implementation will likely try to keep the system time close to the real time, this is not formally guaranteed.\n public func now() : Time = Prim.nat64ToNat(Prim.time());\n\n public type TimerId = Nat;\n\n public func toNanoseconds(duration : Duration) : Nat {\n switch duration {\n case (#days n) n * 86_400_000_000_000;\n case (#hours n) n * 3_600_000_000_000;\n case (#minutes n) n * 60_000_000_000;\n case (#seconds n) n * 1_000_000_000;\n case (#milliseconds n) n * 1_000_000;\n case (#nanoseconds n) n\n }\n };\n\n}\n"},"pure/Set.mo":{"content":"/// Pure (immutable) sets based on order/comparison of elements.\n/// A set is a collection of elements without duplicates.\n/// The set data structure type is stable and can be used for orthogonal persistence.\n///\n/// Example:\n/// ```motoko\n/// import Set \"mo:core/pure/Set\";\n/// import Nat \"mo:core/Nat\";\n///\n/// persistent actor {\n/// let set = Set.fromIter([3, 1, 2, 3].values(), Nat.compare);\n/// assert Set.size(set) == 3;\n/// assert not Set.contains(set, Nat.compare, 4);\n/// let diff = Set.difference(set, set, Nat.compare);\n/// assert Set.isEmpty(diff);\n/// }\n/// ```\n///\n/// These sets are implemented as red-black trees, a balanced binary search tree of ordered elements.\n///\n/// The tree data structure internally colors each of its nodes either red or black,\n/// and uses this information to balance the tree during modifying operations.\n///\n/// Performance:\n/// * Runtime: `O(log(n))` worst case cost per insertion, removal, and retrieval operation.\n/// * Space: `O(n)` for storing the entire tree.\n/// `n` denotes the number of elements (i.e. nodes) stored in the tree.\n///\n/// Credits:\n///\n/// The core of this implementation is derived from:\n///\n/// * Ken Friis Larsen's [RedBlackMap.sml](https://github.com/kfl/mosml/blob/master/src/mosmllib/Redblackmap.sml), which itself is based on:\n/// * Stefan Kahrs, \"Red-black trees with types\", Journal of Functional Programming, 11(4): 425-432 (2001), [version 1 in web appendix](http://www.cs.ukc.ac.uk/people/staff/smk/redblack/rb.html).\n\nimport Runtime \"../Runtime\";\nimport List \"../List\"; // NB: imperative!\nimport Iter \"../Iter\";\nimport Types \"../Types\";\nimport Nat \"../Nat\";\nimport Order \"../Order\";\n\nmodule {\n\n /// Ordered collection of unique elements of the generic type `T`.\n /// If type `T` is stable then `Set` is also stable.\n /// To ensure that property the `Set` does not have any methods,\n /// instead they are gathered in the functor-like class `Operations` (see example there).\n\n /// @deprecated M0235\n public type Set = Types.Pure.Set;\n\n /// Red-black tree of nodes with ordered set elements.\n /// Leaves are considered implicitly black.\n type Tree = Types.Pure.Set.Tree;\n\n /// Create a set with the elements obtained from an iterator.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrences of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2, 1].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func fromIter(iter : Iter.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n var set = empty() : Set;\n for (val in iter) {\n set := Internal.add(set, compare, val)\n };\n set\n };\n\n /// Convert an iterator into a set.\n /// Potential duplicate elements in the iterator are ignored, i.e.\n /// multiple occurrences of an equal element only occur once in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// transient let iter = [3, 1, 2, 1].values();\n ///\n /// let set = iter.toSet(Nat.compare);\n ///\n /// assert Iter.toArray(Set.values(set)) == [1, 2, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements returned by the iterator and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func toSet(self : Iter.Iter, compare : (implicit : (T, T) -> Order.Order)) : Set {\n fromIter(self, compare)\n };\n\n /// Given a `set` ordered by `compare`, insert the new `element`,\n /// returning the new set.\n ///\n /// Return the set unchanged if the element already exists in the set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set0 = Set.empty();\n /// let set1 = Set.add(set0, Nat.compare, 2);\n /// let set2 = Set.add(set1, Nat.compare, 1);\n /// let set3 = Set.add(set2, Nat.compare, 2);\n /// assert Iter.toArray(Set.values(set0)) == [];\n /// assert Iter.toArray(Set.values(set1)) == [2];\n /// assert Iter.toArray(Set.values(set2)) == [1, 2];\n /// assert Iter.toArray(Set.values(set3)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned set shares with the `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.add(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func add(self : Set, compare : (implicit : (T, T) -> Order.Order), elem : T) : Set = Internal.add(self, compare, elem);\n\n /// Given `set` ordered by `compare`, insert the new `element`,\n /// returning the set extended with `element` and a Boolean indicating\n /// if the element was already present in `set`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set0 = Set.empty();\n /// do {\n /// let (set1, new1) = Set.insert(set0, Nat.compare, 2);\n /// assert new1;\n /// let (set2, new2) = Set.insert(set1, Nat.compare, 1);\n /// assert new2;\n /// let (set3, new3) = Set.insert(set2, Nat.compare, 2);\n /// assert not new3;\n /// assert Iter.toArray(Set.values(set3)) == [1, 2]\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: The returned set shares with the `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.add(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func insert(self : Set, compare : (implicit : (T, T) -> Order.Order), elem : T) : (Set, Bool) = Internal.insert(self, compare, elem);\n\n /// Given `set` ordered by `compare` return the set with `element` removed.\n /// Return the set unchanged if the element was absent.\n ///\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n ///\n /// let set1 = Set.remove(set, Nat.compare, 2);\n /// let set2 = Set.remove(set1, Nat.compare, 4);\n /// assert Iter.toArray(Set.values(set2)) == [1, 3];\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// Note: The returned set shares with `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.delete(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func remove(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Set = Internal.remove(self, compare, element);\n\n /// Given `set` ordered by `compare`, delete `element` from the set, returning\n /// either the set without the element and a Boolean indicating whether\n /// whether `element` was contained in `set`.\n ///\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// do {\n /// let (set1, contained1) = Set.delete(set, Nat.compare, 2);\n /// assert contained1;\n /// assert Iter.toArray(Set.values(set1)) == [1, 3];\n /// let (set2, contained2) = Set.delete(set1, Nat.compare, 4);\n /// assert not contained2;\n /// assert Iter.toArray(Set.values(set2)) == [1, 3];\n /// }\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(log(n))` including garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(log(n))` objects that will be collected as garbage.\n /// Note: The returned set shares with `set` most of the tree nodes.\n /// Garbage collecting one of the sets (e.g. after an assignment `m := Set.delete(m, c, e)`)\n /// causes collecting `O(log(n))` nodes.\n public func delete(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : (Set, Bool) = Internal.delete(self, compare, element);\n\n /// Tests whether the set contains the provided element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Bool \"mo:core/Bool\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// assert Set.contains(set, Nat.compare, 1);\n /// assert not Set.contains(set, Nat.compare, 4);\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func contains(self : Set, compare : (implicit : (T, T) -> Order.Order), element : T) : Bool = Internal.contains(self.root, compare, element);\n\n /// Get the maximal element of the set `set` if it is not empty, otherwise returns `null`\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 2, 1].values(), Nat.compare);\n /// let set2 = Set.empty();\n /// assert Set.max(set1) == ?2;\n /// assert Set.max(set2) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements in the set\n public func max(self : Set) : ?T = Internal.max(self.root);\n\n /// Retrieves the minimum element from the set.\n /// If the set is empty, returns `null`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([2, 0, 1].values(), Nat.compare);\n /// let set2 = Set.empty();\n /// assert Set.min(set1) == ?0;\n /// assert Set.min(set2) == null;\n /// }\n /// ```\n ///\n /// Runtime: `O(log(n))`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func min(self : Set) : ?T = Internal.min(self.root);\n\n /// Returns a new set that is the union of `set1` and `set2`,\n /// i.e. a new set that all the elements that exist in at least on of the two sets.\n /// Potential duplicates are ignored, i.e. if the same element occurs in both `set1`\n /// and `set2`, it only occurs once in the returned set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let union = Set.union(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(union)) == [1, 2, 3, 4, 5];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(m)`, retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements in the sets, and `m <= n`.\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(m * log(n))` temporary objects that will be collected as garbage.\n public func union(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n if (size(self) < size(other)) {\n foldLeft(self, other, func(acc : Set, elem : T) : Set { Internal.add(acc, compare, elem) })\n } else {\n foldLeft(other, self, func(acc : Set, elem : T) : Set { Internal.add(acc, compare, elem) })\n }\n };\n\n /// Returns a new set that is the intersection of `set1` and `set2`,\n /// i.e. a new set that contains all the elements that exist in both sets.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let intersection = Set.intersection(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(intersection)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(m)` temporary objects that will be collected as garbage.\n public func intersection(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n let elems = List.empty();\n if (self.size < other.size) {\n Internal.iterate(\n self.root,\n func(x : T) {\n if (Internal.contains(other.root, compare, x)) {\n List.add(elems, x)\n }\n }\n )\n } else {\n Internal.iterate(\n other.root,\n func(x : T) {\n if (Internal.contains(self.root, compare, x)) {\n List.add(elems, x)\n }\n }\n )\n };\n { root = Internal.buildFromSorted(elems); size = List.size(elems) }\n };\n\n /// Returns a new set that is the difference between `set1` and `other` (`set1` minus `set2`),\n /// i.e. a new set that contains all the elements of `set1` that do not exist in `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let difference = Set.difference(set1, set2, Nat.compare);\n /// assert Iter.toArray(Set.values(difference)) == [1, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets `set1` and `set2`, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(m * log(n))` temporary objects that will be collected as garbage.\n public func difference(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Set {\n if (size(self) < size(other)) {\n let elems = List.empty(); /* imperative! */\n Internal.iterate(\n self.root,\n func(x : T) {\n if (not Internal.contains(other.root, compare, x)) {\n List.add(elems, x)\n }\n }\n );\n { root = Internal.buildFromSorted(elems); size = List.size(elems) }\n } else {\n foldLeft(\n other,\n self,\n func(acc : Set, elem : T) : Set {\n if (Internal.contains(acc.root, compare, elem)) {\n Internal.remove(acc, compare, elem)\n } else { acc }\n }\n )\n }\n };\n\n /// Project all elements of the set in a new set.\n /// Apply a mapping function to each element in the set and\n /// collect the mapped elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 1, 2].values(), Nat.compare);\n ///\n /// let textNumbers =\n /// Set.map(numbers, Text.compare, Nat.toText);\n /// assert Iter.toArray(Set.values(textNumbers)) == [\"1\", \"2\", \"3\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func map(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> T2) : Set = Internal.foldLeft(self.root, empty(), func(acc : Set, elem : T1) : Set { Internal.add(acc, compare, project(elem)) });\n\n /// Apply an operation on each element contained in the set.\n /// The operation is applied in ascending order of the elements.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// var text = \"\";\n /// Set.forEach(numbers, func (element) {\n /// text #= \" \" # Nat.toText(element)\n /// });\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory.\n /// where `n` denotes the number of elements stored in the set.\n ///\n public func forEach(self : Set, operation : T -> ()) {\n ignore foldLeft(self, null, func(acc, e) : Null { operation(e); null })\n };\n\n /// Filter elements in a new set.\n /// Create a copy of the mutable set that only contains the elements\n /// that fulfil the criterion function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let evenNumbers = Set.filter(numbers, Nat.compare, func (number) {\n /// number % 2 == 0\n /// });\n /// assert Iter.toArray(Set.values(evenNumbers)) == [0, 2];\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)`.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n public func filter(self : Set, compare : (implicit : (T, T) -> Order.Order), criterion : T -> Bool) : Set {\n foldLeft>(\n self,\n empty(),\n func(acc, e) {\n if (criterion(e)) (add(acc, compare, e)) else acc\n }\n )\n };\n\n /// Filter all elements in the set by also applying a projection to the elements.\n /// Apply a mapping function `project` to all elements in the set and collect all\n /// elements, for which the function returns a non-null new element. Collect all\n /// non-discarded new elements in a new mutable set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Text \"mo:core/Text\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let numbers = Set.fromIter([3, 0, 2, 1].values(), Nat.compare);\n ///\n /// let evenTextNumbers = Set.filterMap(numbers, Text.compare, func (number) {\n /// if (number % 2 == 0) {\n /// ?Nat.toText(number)\n /// } else {\n /// null // discard odd numbers\n /// }\n /// });\n /// assert Iter.toArray(Set.values(evenTextNumbers)) == [\"0\", \"2\"];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(n)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that the `compare` function implements an `O(1)` comparison.\n ///\n /// Note: Creates `O(n * log(n))` temporary objects that will be collected as garbage.\n public func filterMap(self : Set, compare : (implicit : (T2, T2) -> Order.Order), project : T1 -> ?T2) : Set {\n func combine(acc : Set, elem : T1) : Set {\n switch (project(elem)) {\n case null { acc };\n case (?elem2) {\n Internal.add(acc, compare, elem2)\n }\n }\n };\n Internal.foldLeft(self.root, empty(), combine)\n };\n\n /// Test whether `set1` is a sub-set of `set2`, i.e. each element in `set1` is\n /// also contained in `set2`. Returns `true` if both sets are equal.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// let set3 = Set.fromIter([3, 4].values(), Nat.compare);\n /// assert Set.isSubset(set1, set2, Nat.compare);\n /// assert not Set.isSubset(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets set1 and set2, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func isSubset(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Bool {\n if (self.size > other.size) { return false };\n isSubsetHelper(self.root, other.root, compare)\n };\n\n /// Test whether two sets are equal.\n /// Both sets have to be constructed by the same comparison function.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2].values(), Nat.compare);\n /// let set2 = Set.fromIter([2, 1].values(), Nat.compare);\n /// let set3 = Set.fromIter([2, 1, 0].values(), Nat.compare);\n /// assert Set.equal(set1, set2, Nat.compare);\n /// assert not Set.equal(set1, set3, Nat.compare);\n /// }\n /// ```\n ///\n /// Runtime: `O(m * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `m` and `n` denote the number of elements stored in the sets set1 and set2, respectively,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func equal(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Bool {\n if (self.size != other.size) { return false };\n isSubsetHelper(self.root, other.root, compare)\n };\n\n func isSubsetHelper(t1 : Tree, t2 : Tree, compare : (T, T) -> Order.Order) : Bool {\n switch (t1, t2) {\n case (#leaf, _) { true };\n case (_, #leaf) { false };\n case ((#red(t1l, x1, t1r) or #black(t1l, x1, t1r)), (#red(t2l, x2, t2r)) or #black(t2l, x2, t2r)) {\n switch (compare(x1, x2)) {\n case (#equal) {\n isSubsetHelper(t1l, t2l, compare) and isSubsetHelper(t1r, t2r, compare)\n };\n // x1 < x2 ==> x1 \\in t2l /\\ t1l \\subset t2l\n case (#less) {\n Internal.contains(t2l, compare, x1) and isSubsetHelper(t1l, t2l, compare) and isSubsetHelper(t1r, t2, compare)\n };\n // x2 < x1 ==> x1 \\in t2r /\\ t1r \\subset t2r\n case (#greater) {\n Internal.contains(t2r, compare, x1) and isSubsetHelper(t1l, t2, compare) and isSubsetHelper(t1r, t2r, compare)\n }\n }\n }\n }\n };\n\n /// Compare two sets by comparing the elements.\n /// Both sets must have been created by the same comparison function.\n /// The two sets are iterated by the ascending order of their creation and\n /// order is determined by the following rules:\n /// Less:\n /// `set1` is less than `set2` if:\n /// * the pairwise iteration hits an element pair `element1` and `element2` where\n /// `element1` is less than `element2` and all preceding elements are equal, or,\n /// * `set1` is a strict prefix of `set2`, i.e. `set2` has more elements than `set1`\n /// and all elements of `set1` occur at the beginning of iteration `set2`.\n /// Equal:\n /// `set1` and `set2` have same series of equal elements by pairwise iteration.\n /// Greater:\n /// `set1` is neither less nor equal `set2`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([0, 1].values(), Nat.compare);\n /// let set2 = Set.fromIter([0, 2].values(), Nat.compare);\n ///\n /// assert Set.compare(set1, set2, Nat.compare) == #less;\n /// assert Set.compare(set1, set1, Nat.compare) == #equal;\n /// assert Set.compare(set2, set1, Nat.compare) == #greater;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `compare` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func compare(self : Set, other : Set, compare : (implicit : (T, T) -> Order.Order)) : Order.Order {\n // TODO: optimize using recursion on self?\n let iterator1 = values(self);\n let iterator2 = values(other);\n loop {\n switch (iterator1.next(), iterator2.next()) {\n case (null, null) return #equal;\n case (null, _) return #less;\n case (_, null) return #greater;\n case (?element1, ?element2) {\n let comparison = compare(element1, element2);\n if (comparison != #equal) {\n return comparison\n }\n }\n }\n }\n };\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the ascending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var text = \"\";\n /// for (number in Set.values(set)) {\n /// text #= \" \" # Nat.toText(number);\n /// };\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func values(self : Set) : Iter.Iter = Internal.iter(self.root, #fwd);\n\n /// Returns an iterator over the elements in the set,\n /// traversing the elements in the descending order.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 2, 3, 1].values(), Nat.compare);\n ///\n /// var tmp = \"\";\n /// for (number in Set.reverseValues(set)) {\n /// tmp #= \" \" # Nat.toText(number);\n /// };\n /// assert tmp == \" 3 2 1 0\";\n /// }\n /// ```\n /// Cost of iteration over all elements:\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func reverseValues(self : Set) : Iter.Iter = Internal.iter(self.root, #bwd);\n\n /// Create a new empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.empty();\n /// assert Iter.toArray(Set.values(set)) == [];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func empty() : Set = { root = #leaf; size = 0 };\n\n /// Create a new set with a single element.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.singleton(0);\n /// assert Iter.toArray(Set.values(set)) == [0];\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func singleton(element : T) : Set {\n {\n size = 1;\n root = #red(#leaf, element, #leaf)\n }\n };\n\n /// Return the number of elements in a set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1, 3].values(), Nat.compare);\n ///\n /// assert Set.size(set) == 4;\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func size(self : Set) : Nat = self.size;\n\n /// Iterate all elements in ascending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldLeft(\n /// set,\n /// \"\",\n /// func (accumulator, element) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 0 1 2 3\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n public func foldLeft(\n self : Set,\n base : A,\n combine : (A, T) -> A\n ) : A = Internal.foldLeft(self.root, base, combine);\n\n /// Iterate all elements in descending order,\n /// and accumulate the elements by applying the combine function, starting from a base value.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 2, 1].values(), Nat.compare);\n ///\n /// let text = Set.foldRight(\n /// set,\n /// \"\",\n /// func (element, accumulator) {\n /// accumulator # \" \" # Nat.toText(element)\n /// }\n /// );\n /// assert text == \" 3 2 1 0\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set.\n public func foldRight(\n self : Set,\n base : A,\n combine : (T, A) -> A\n ) : A = Internal.foldRight(self.root, base, combine);\n\n /// Determines whether a set is empty.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set1 = Set.empty();\n /// let set2 = Set.singleton(1);\n ///\n /// assert Set.isEmpty(set1);\n /// assert not Set.isEmpty(set2);\n /// }\n /// ```\n ///\n /// Runtime: `O(1)`.\n /// Space: `O(1)`.\n public func isEmpty(self : Set) : Bool {\n switch (self.root) {\n case (#leaf) { true };\n case _ { false }\n }\n };\n\n /// Check whether all element in the set satisfy a predicate, i.e.\n /// the `predicate` function returns `true` for all elements in the set.\n /// Returns `true` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let belowTen = Set.all(set, func (number) {\n /// number < 10\n /// });\n /// assert belowTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n /// where `n` denotes the number of elements stored in the set.\n public func all(self : Set, predicate : T -> Bool) : Bool = Internal.all(self.root, predicate);\n\n /// Check whether at least one element in the set satisfies a predicate, i.e.\n /// the `predicate` function returns `true` for at least one element in the set.\n /// Returns `false` for an empty set.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// let aboveTen = Set.any(set, func (number) {\n /// number > 10\n /// });\n /// assert not aboveTen;\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(1)`.\n public func any(self : Set, pred : T -> Bool) : Bool = Internal.any(self.root, pred);\n\n /// Test helper that check internal invariant for the given set `s`.\n /// Raise an error (for a stack trace) if invariants are violated.\n public func assertValid(self : Set, compare : (implicit : (T, T) -> Order.Order)) : () {\n Internal.assertValid(self, compare)\n };\n\n /// Generate a textual representation of all the elements in the set.\n /// Primarily to be used for testing and debugging.\n /// The elements are formatted according to `elementFormat`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set = Set.fromIter([0, 3, 1, 2].values(), Nat.compare);\n ///\n /// assert Set.toText(set, Nat.toText) == \"PureSet{0, 1, 2, 3}\";\n /// }\n /// ```\n ///\n /// Runtime: `O(n)`.\n /// Space: `O(n)` retained memory plus garbage, see below.\n /// where `n` denotes the number of elements stored in the set and\n /// assuming that `elementFormat` has runtime and space costs of `O(1)`.\n ///\n /// Note: Creates `O(log(n))` temporary objects that will be collected as garbage.\n public func toText(self : Set, elementFormat : (implicit : (toText : T -> Text))) : Text {\n var text = \"PureSet{\";\n var sep = \"\";\n for (element in values(self)) {\n text #= sep # elementFormat(element);\n sep := \", \"\n };\n text # \"}\"\n };\n\n /// Construct the union of a set of element sets, i.e. all elements of\n /// each element set are included in the result set.\n /// Any duplicates are ignored, i.e. if the same element occurs in multiple element sets,\n /// it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Order \"mo:core/Order\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// func setCompare(first: Set.Set, second: Set.Set) : Order.Order {\n /// Set.compare(first, second, Nat.compare)\n /// };\n ///\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let setOfSets = Set.fromIter([set1, set2, set3].values(), setCompare);\n /// let flatSet = Set.flatten(setOfSets, Nat.compare);\n /// assert Iter.toArray(Set.values(flatSet)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in all the sub-sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func flatten(self : Set>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n var result = empty();\n for (set in values(self)) {\n result := union(result, set, compare)\n };\n result\n };\n\n /// Construct the union of a series of sets, i.e. all elements of\n /// each set are included in the result set.\n /// Any duplicates are ignored, i.e. if an element occurs\n /// in several of the iterated sets, it only occurs once in the result set.\n ///\n /// Assumes all sets are ordered by `compare`.\n ///\n /// Example:\n /// ```motoko\n /// import Set \"mo:core/pure/Set\";\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// persistent actor {\n /// let set1 = Set.fromIter([1, 2, 3].values(), Nat.compare);\n /// let set2 = Set.fromIter([3, 4, 5].values(), Nat.compare);\n /// let set3 = Set.fromIter([5, 6, 7].values(), Nat.compare);\n /// let combined = Set.join([set1, set2, set3].values(), Nat.compare);\n /// assert Iter.toArray(Set.values(combined)) == [1, 2, 3, 4, 5, 6, 7];\n /// }\n /// ```\n ///\n /// Runtime: `O(n * log(n))`.\n /// Space: `O(1)` retained memory plus garbage, see the note below.\n /// where `n` denotes the number of elements stored in the iterated sets,\n /// and assuming that the `compare` function implements an `O(1)` comparison.\n public func join(self : Iter.Iter>, compare : (implicit : (T, T) -> Order.Order)) : Set {\n var result = empty();\n for (set in self) {\n result := union(result, set, compare)\n };\n result\n };\n\n module Internal {\n public func contains(tree : Tree, compare : (T, T) -> Order.Order, elem : T) : Bool {\n func f(t : Tree, x : T) : Bool {\n switch t {\n case (#black(l, x1, r)) {\n switch (compare(x, x1)) {\n case (#less) { f(l, x) };\n case (#equal) { true };\n case (#greater) { f(r, x) }\n }\n };\n case (#red(l, x1, r)) {\n switch (compare(x, x1)) {\n case (#less) { f(l, x) };\n case (#equal) { true };\n case (#greater) { f(r, x) }\n }\n };\n case (#leaf) { false }\n }\n };\n f(tree, elem)\n };\n\n public func max(m : Tree) : ?V {\n func rightmost(m : Tree) : V {\n switch m {\n case (#red(_, v, #leaf)) { v };\n case (#red(_, _, r)) { rightmost(r) };\n case (#black(_, v, #leaf)) { v };\n case (#black(_, _, r)) { rightmost(r) };\n case (#leaf) { Runtime.trap \"pure/Set.max() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?rightmost(m) }\n }\n };\n\n public func min(m : Tree) : ?V {\n func leftmost(m : Tree) : V {\n switch m {\n case (#red(#leaf, v, _)) { v };\n case (#red(l, _, _)) { leftmost(l) };\n case (#black(#leaf, v, _)) { v };\n case (#black(l, _, _)) { leftmost(l) };\n case (#leaf) { Runtime.trap \"pure/Set.min() impossible\" }\n }\n };\n switch m {\n case (#leaf) { null };\n case (_) { ?leftmost(m) }\n }\n };\n\n public func all(m : Tree, pred : V -> Bool) : Bool {\n switch m {\n case (#red(l, v, r)) {\n pred(v) and all(l, pred) and all(r, pred)\n };\n case (#black(l, v, r)) {\n pred(v) and all(l, pred) and all(r, pred)\n };\n case (#leaf) { true }\n }\n };\n\n public func any(m : Tree, pred : V -> Bool) : Bool {\n switch m {\n case (#red(l, v, r)) {\n pred(v) or any(l, pred) or any(r, pred)\n };\n case (#black(l, v, r)) {\n pred(v) or any(l, pred) or any(r, pred)\n };\n case (#leaf) { false }\n }\n };\n\n public func iterate(m : Tree, f : V -> ()) {\n switch m {\n case (#leaf) {};\n case (#black(l, v, r)) { iterate(l, f); f(v); iterate(r, f) };\n case (#red(l, v, r)) { iterate(l, f); f(v); iterate(r, f) }\n }\n };\n\n // build tree from elements arr[l]..arr[r-1]\n public func buildFromSorted(buf : List.List) : Tree {\n var maxDepth = 0;\n var maxSize = 1;\n while (maxSize < List.size(buf)) {\n maxDepth += 1;\n maxSize += maxSize + 1\n };\n maxDepth := if (maxDepth == 0) { 1 } else { maxDepth }; // keep root black for 1 element tree\n func buildFromSortedHelper(l : Nat, r : Nat, depth : Nat) : Tree {\n if (l + 1 == r) {\n if (depth == maxDepth) {\n return #red(#leaf, List.at(buf, l), #leaf)\n } else {\n return #black(#leaf, List.at(buf, l), #leaf)\n }\n };\n if (l >= r) {\n return #leaf\n };\n let m = (l + r) / 2;\n return #black(\n buildFromSortedHelper(l, m, depth + 1),\n List.at(buf, m),\n buildFromSortedHelper(m + 1, r, depth + 1)\n )\n };\n buildFromSortedHelper(0, List.size(buf), 0)\n };\n\n type IterRep = Types.Pure.List<{ #tr : Tree; #x : T }>;\n\n type SetTraverser = (Tree, T, Tree, IterRep) -> IterRep;\n\n class IterSet(tree : Tree, setTraverser : SetTraverser) {\n var trees : IterRep = ?(#tr(tree), null);\n public func next() : ?T {\n switch (trees) {\n case (null) { null };\n case (?(#tr(#leaf), ts)) {\n trees := ts;\n next()\n };\n case (?(#x(x), ts)) {\n trees := ts;\n ?x\n };\n case (?(#tr(#black(l, x, r)), ts)) {\n trees := setTraverser(l, x, r, ts);\n next()\n };\n case (?(#tr(#red(l, x, r)), ts)) {\n trees := setTraverser(l, x, r, ts);\n next()\n }\n }\n }\n };\n\n public func iter(s : Tree, direction : { #fwd; #bwd }) : Iter.Iter {\n let turnLeftFirst : SetTraverser = func(l, x, r, ts) {\n ?(#tr(l), ?(#x(x), ?(#tr(r), ts)))\n };\n\n let turnRightFirst : SetTraverser = func(l, x, r, ts) {\n ?(#tr(r), ?(#x(x), ?(#tr(l), ts)))\n };\n\n switch direction {\n case (#fwd) IterSet(s, turnLeftFirst);\n case (#bwd) IterSet(s, turnRightFirst)\n }\n };\n\n public func foldLeft(\n tree : Tree,\n base : Accum,\n combine : (Accum, T) -> Accum\n ) : Accum {\n switch (tree) {\n case (#leaf) { base };\n case (#black(l, x, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, x);\n foldLeft(r, middle, combine)\n };\n case (#red(l, x, r)) {\n let left = foldLeft(l, base, combine);\n let middle = combine(left, x);\n foldLeft(r, middle, combine)\n }\n }\n };\n\n public func foldRight(\n tree : Tree,\n base : Accum,\n combine : (T, Accum) -> Accum\n ) : Accum {\n switch (tree) {\n case (#leaf) { base };\n case (#black(l, x, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(x, right);\n foldRight(l, middle, combine)\n };\n case (#red(l, x, r)) {\n let right = foldRight(r, base, combine);\n let middle = combine(x, right);\n foldRight(l, middle, combine)\n }\n }\n };\n\n func redden(t : Tree) : Tree {\n switch t {\n case (#black(l, x, r)) { (#red(l, x, r)) };\n case _ {\n Runtime.trap \"pure/Set.redden() impossible\"\n }\n }\n };\n\n func lbalance(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (#red(#red(l1, x1, r1), x2, r2), r) {\n #red(\n #black(l1, x1, r1),\n x2,\n #black(r2, x, r)\n )\n };\n case (#red(l1, x1, #red(l2, x2, r2)), r) {\n #red(\n #black(l1, x1, l2),\n x2,\n #black(r2, x, r)\n )\n };\n case _ {\n #black(left, x, right)\n }\n }\n };\n\n func rbalance(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, #red(l2, x2, r2))) {\n #red(\n #black(l, x, l1),\n x1,\n #black(l2, x2, r2)\n )\n };\n case (l, #red(#red(l1, x1, r1), x2, r2)) {\n #red(\n #black(l, x, l1),\n x1,\n #black(r1, x2, r2)\n )\n };\n case _ {\n #black(left, x, right)\n }\n }\n };\n\n public func add(\n set : Set,\n compare : (T, T) -> Order.Order,\n elem : T\n ) : Set {\n insert(set, compare, elem).0\n };\n\n public func insert(\n s : Set,\n compare : (T, T) -> Order.Order,\n elem : T\n ) : (Set, Bool) {\n var newNodeIsCreated : Bool = false;\n func ins(tree : Tree) : Tree {\n switch tree {\n case (#black(left, x, right)) {\n switch (compare(elem, x)) {\n case (#less) {\n lbalance(ins left, x, right)\n };\n case (#greater) {\n rbalance(left, x, ins right)\n };\n case (#equal) {\n #black(left, x, right)\n }\n }\n };\n case (#red(left, x, right)) {\n switch (compare(elem, x)) {\n case (#less) {\n #red(ins left, x, right)\n };\n case (#greater) {\n #red(left, x, ins right)\n };\n case (#equal) {\n #red(left, x, right)\n }\n }\n };\n case (#leaf) {\n newNodeIsCreated := true;\n #red(#leaf, elem, #leaf)\n }\n }\n };\n let newRoot = switch (ins(s.root)) {\n case (#red(left, x, right)) {\n #black(left, x, right)\n };\n case other { other }\n };\n if newNodeIsCreated ({ root = newRoot; size = s.size + 1 }, true) else (s, false)\n };\n\n func balLeft(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (#red(l1, x1, r1), r) {\n #red(#black(l1, x1, r1), x, r)\n };\n case (_, #black(l2, x2, r2)) {\n rbalance(left, x, #red(l2, x2, r2))\n };\n case (_, #red(#black(l2, x2, r2), x3, r3)) {\n #red(\n #black(left, x, l2),\n x2,\n rbalance(r2, x3, redden r3)\n )\n };\n case _ { Runtime.trap \"pure/Set.balLeft() impossible\" }\n }\n };\n\n func balRight(left : Tree, x : T, right : Tree) : Tree {\n switch (left, right) {\n case (l, #red(l1, x1, r1)) {\n #red(l, x, #black(l1, x1, r1))\n };\n case (#black(l1, x1, r1), r) {\n lbalance(#red(l1, x1, r1), x, r)\n };\n case (#red(l1, x1, #black(l2, x2, r2)), r3) {\n #red(\n lbalance(redden l1, x1, l2),\n x2,\n #black(r2, x, r3)\n )\n };\n case _ { Runtime.trap \"pure/Set.balRight() impossible\" }\n }\n };\n\n func append(left : Tree, right : Tree) : Tree {\n switch (left, right) {\n case (#leaf, _) { right };\n case (_, #leaf) { left };\n case (\n #red(l1, x1, r1),\n #red(l2, x2, r2)\n ) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, r3)) {\n #red(\n #red(l1, x1, l3),\n x3,\n #red(r3, x2, r2)\n )\n };\n case r1l2 {\n #red(l1, x1, #red(r1l2, x2, r2))\n }\n }\n };\n case (t1, #red(l2, x2, r2)) {\n #red(append(t1, l2), x2, r2)\n };\n case (#red(l1, x1, r1), t2) {\n #red(l1, x1, append(r1, t2))\n };\n case (#black(l1, x1, r1), #black(l2, x2, r2)) {\n switch (append(r1, l2)) {\n case (#red(l3, x3, r3)) {\n #red(\n #black(l1, x1, l3),\n x3,\n #black(r3, x2, r2)\n )\n };\n case r1l2 {\n balLeft(\n l1,\n x1,\n #black(r1l2, x2, r2)\n )\n }\n }\n }\n }\n };\n\n public func remove(set : Set, compare : (T, T) -> Order.Order, elem : T) : Set {\n delete(set, compare, elem).0\n };\n\n public func delete(s : Set, compare : (T, T) -> Order.Order, x : T) : (Set, Bool) {\n var changed : Bool = false;\n func delNode(left : Tree, x1 : T, right : Tree) : Tree {\n switch (compare(x, x1)) {\n case (#less) {\n let newLeft = del left;\n switch left {\n case (#black(_, _, _)) {\n balLeft(newLeft, x1, right)\n };\n case _ {\n #red(newLeft, x1, right)\n }\n }\n };\n case (#greater) {\n let newRight = del right;\n switch right {\n case (#black(_, _, _)) {\n balRight(left, x1, newRight)\n };\n case _ {\n #red(left, x1, newRight)\n }\n }\n };\n case (#equal) {\n changed := true;\n append(left, right)\n }\n }\n };\n func del(tree : Tree) : Tree {\n switch tree {\n case (#black(left, x1, right)) {\n delNode(left, x1, right)\n };\n case (#red(left, x1, right)) {\n delNode(left, x1, right)\n };\n case (#leaf) {\n tree\n }\n }\n };\n let newRoot = switch (del(s.root)) {\n case (#red(left, x1, right)) {\n #black(left, x1, right)\n };\n case other { other }\n };\n if changed ({ root = newRoot; size = s.size - 1 }, true) else (s, false)\n };\n\n // check binary search tree order of elements and black depth invariant of the RB-tree\n public func assertValid(s : Set, comp : (T, T) -> Order.Order) {\n ignore blackDepth(s.root, comp)\n };\n\n func blackDepth(node : Tree, comp : (T, T) -> Order.Order) : Nat {\n func checkNode(left : Tree, x1 : T, right : Tree) : Nat {\n checkElem(left, func(x : T) : Bool { comp(x, x1) == #less });\n checkElem(right, func(x : T) : Bool { comp(x, x1) == #greater });\n let leftBlacks = blackDepth(left, comp);\n let rightBlacks = blackDepth(right, comp);\n assert (leftBlacks == rightBlacks);\n leftBlacks\n };\n switch node {\n case (#leaf) 0;\n case (#red(left, x1, right)) {\n assert (not isRed(left));\n assert (not isRed(right));\n checkNode(left, x1, right)\n };\n case (#black(left, x1, right)) {\n checkNode(left, x1, right) + 1\n }\n }\n };\n\n func isRed(node : Tree) : Bool {\n switch node {\n case (#red(_, _, _)) true;\n case _ false\n }\n };\n\n func checkElem(node : Tree, isValid : T -> Bool) {\n switch node {\n case (#leaf) {};\n case (#black(_, elem, _)) {\n assert (isValid(elem))\n };\n case (#red(_, elem, _)) {\n assert (isValid(elem))\n }\n }\n }\n };\n\n}\n"},"InternetComputer.mo":{"content":"/// Low-level interface to the Internet Computer.\n\nimport Prim \"mo:⛔\";\n\nmodule {\n\n /// Calls `canister`'s update or query function, `name`, with the binary contents of `data` as IC argument.\n /// Returns the response to the call, an IC _reply_ or _reject_, as a Motoko future:\n ///\n /// * The message data of an IC reply determines the binary contents of `reply`.\n /// * The error code and textual message data of an IC reject determines the future's `Error` value.\n ///\n /// Note: `call` is an asynchronous function and can only be applied in an asynchronous context.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import IC \"mo:core/InternetComputer\";\n /// import Principal \"mo:core/Principal\";\n ///\n /// persistent actor {\n /// type OutputType = { decimals : Nat32 };\n ///\n /// public func example() : async ?OutputType {\n /// let ledger = Principal.fromText(\"ryjl3-tyaaa-aaaaa-aaaba-cai\");\n /// let method = \"decimals\";\n /// let input = ();\n ///\n /// let rawReply = await IC.call(ledger, method, to_candid (input)); // serialized Candid\n /// let output : ?OutputType = from_candid (rawReply);\n /// assert output == ?{ decimals = 8 };\n /// output\n /// }\n /// }\n /// ```\n ///\n /// [Learn more about Candid serialization](https://internetcomputer.org/docs/motoko/language-manual#candid-serialization)\n public let call : (canister : Principal, name : Text, data : Blob) -> async (reply : Blob) = Prim.call_raw;\n\n /// `isReplicated` is true for update messages and for queries that passed through consensus.\n public let isReplicated : () -> Bool = Prim.isReplicatedExecution;\n\n /// Given computation, `comp`, counts the number of actual and (for IC system calls) notional WebAssembly\n /// instructions performed during the execution of `comp()`.\n ///\n /// More precisely, returns the difference between the state of the IC instruction counter (_performance counter_ `0`) before and after executing `comp()`\n /// (see [Performance Counter](https://internetcomputer.org/docs/current/references/ic-interface-spec#system-api-performance-counter)).\n ///\n /// NB: `countInstructions(comp)` will _not_ account for any deferred garbage collection costs incurred by `comp()`.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import IC \"mo:core/InternetComputer\";\n ///\n /// let count = IC.countInstructions(func() {\n /// // ...\n /// });\n /// ```\n public func countInstructions(comp : () -> ()) : Nat64 {\n let init = Prim.performanceCounter(0);\n let pre = Prim.performanceCounter(0);\n comp();\n let post = Prim.performanceCounter(0);\n // performance_counter costs around 200 extra instructions; we perform an empty measurement to decide the overhead\n let overhead = pre - init;\n post - pre - overhead\n };\n\n /// Returns the current value of IC _performance counter_ `counter`.\n ///\n /// * Counter `0` is the _current execution instruction counter_, counting instructions only since the beginning of the current IC message.\n /// This counter is reset to value `0` on shared function entry and every `await`.\n /// It is therefore only suitable for measuring the cost of synchronous code.\n ///\n /// * Counter `1` is the _call context instruction counter_ for the current shared function call.\n /// For replicated message executing, this excludes the cost of nested IC calls (even to the current canister).\n /// For non-replicated messages, such as composite queries, it includes the cost of nested calls.\n /// The current value of this counter is preserved across `awaits` (unlike counter `0`).\n ///\n /// * The function (currently) traps if `counter` >= 2.\n ///\n /// Consult [Performance Counter](https://internetcomputer.org/docs/current/references/ic-interface-spec#system-api-performance-counter) for details.\n ///\n /// Example:\n /// ```motoko no-repl\n /// import IC \"mo:core/InternetComputer\";\n ///\n /// let c1 = IC.performanceCounter(1);\n /// // ...\n /// let diff : Nat64 = IC.performanceCounter(1) - c1;\n /// ```\n public let performanceCounter : (counter : Nat32) -> (value : Nat64) = Prim.performanceCounter;\n\n /// Returns the time (in nanoseconds from the epoch start) by when the update message should\n /// reply to the best effort message so that it can be received by the requesting canister.\n /// Queries and unbounded-time update messages return null.\n public func replyDeadline() : ?Nat {\n let raw = Prim.replyDeadline();\n if (raw == 0) null else ?Prim.nat64ToNat(raw)\n };\n\n}\n"},"Nat16.mo":{"content":"/// Utility functions on 16-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat16 \"mo:core/Nat16\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 16-bit natural numbers.\n public type Nat16 = Prim.Types.Nat16;\n\n /// Maximum 16-bit natural number. `2 ** 16 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.maxValue == (65535 : Nat16);\n /// ```\n public let maxValue : Nat16 = 65535;\n\n /// Converts a 16-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat16) -> Nat = Prim.nat16ToNat;\n\n /// Converts an unsigned integer with infinite precision to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat(123) == (123 : Nat16);\n /// ```\n public let fromNat : Nat -> Nat16 = Prim.natToNat16;\n\n /// Converts an 8-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat8(123) == (123 : Nat16);\n /// ```\n /// @deprecated M0235\n public let fromNat8 : (x : Nat8) -> Nat16 = Prim.nat8ToNat16;\n\n /// Converts a 16-bit unsigned integer to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat8(123) == (123 : Nat8);\n /// ```\n public let toNat8 : (self : Nat16) -> Nat8 = Prim.nat16ToNat8;\n\n /// Converts a 32-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat32(123) == (123 : Nat16);\n /// ```\n /// @deprecated M0235\n public let fromNat32 : (x : Nat32) -> Nat16 = Prim.nat32ToNat16;\n\n /// Converts a 16-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat32(123) == (123 : Nat32);\n /// ```\n public let toNat32 : (self : Nat16) -> Nat32 = Prim.nat16ToNat32;\n\n /// Converts a 64-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromNat64(123) == (123 : Nat16);\n /// ```\n /// @deprecated M0235\n public func fromNat64(x : Nat64) : Nat16 {\n Prim.nat32ToNat16(Prim.nat64ToNat32(x))\n };\n\n /// Converts a 16-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toNat64(123) == (123 : Nat64);\n /// ```\n public func toNat64(self : Nat16) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(self))\n };\n\n /// Converts a signed integer with infinite precision to a 16-bit unsigned integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.fromIntWrap(123 : Int) == (123 : Nat16);\n /// ```\n public let fromIntWrap : Int -> Nat16 = Prim.intToNat16Wrap;\n\n /// Converts `x` to its textual representation. Textual representation _do not_\n /// contain underscores to represent commas.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.toText(1234) == (\"1234\" : Text);\n /// ```\n public func toText(self : Nat16) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.min(123, 200) == (123 : Nat16);\n /// ```\n public func min(x : Nat16, y : Nat16) : Nat16 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.max(123, 200) == (200 : Nat16);\n /// ```\n public func max(x : Nat16, y : Nat16) : Nat16 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat16 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.equal(1, 1);\n /// assert (1 : Nat16) == (1 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat16 = 111;\n /// let b : Nat16 = 222;\n /// assert not Nat16.equal(a, b);\n /// ```\n public func equal(x : Nat16, y : Nat16) : Bool { x == y };\n\n /// Inequality function for Nat16 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.notEqual(1, 2);\n /// assert (1 : Nat16) != (2 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat16, y : Nat16) : Bool { x != y };\n\n /// \"Less than\" function for Nat16 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.less(1, 2);\n /// assert (1 : Nat16) < (2 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat16, y : Nat16) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat16 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.lessOrEqual(1, 2);\n /// assert (1 : Nat16) <= (2 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat16, y : Nat16) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat16 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.greater(2, 1);\n /// assert (2 : Nat16) > (1 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat16, y : Nat16) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat16 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.greaterOrEqual(2, 1);\n /// assert (2 : Nat16) >= (1 : Nat16);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat16, y : Nat16) : Bool {\n x >= y\n };\n\n /// General purpose comparison function for `Nat16`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat16], Nat16.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat16, y : Nat16) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.add(1, 2) == 3;\n /// assert (1 : Nat16) + (2 : Nat16) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat16.add) == 6;\n /// ```\n public func add(x : Nat16, y : Nat16) : Nat16 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.sub(2, 1) == 1;\n /// assert (2 : Nat16) - (1 : Nat16) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 20, Nat16.sub) == 14;\n /// ```\n public func sub(x : Nat16, y : Nat16) : Nat16 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.mul(2, 3) == 6;\n /// assert (2 : Nat16) * (3 : Nat16) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat16.mul) == 6;\n /// ```\n public func mul(x : Nat16, y : Nat16) : Nat16 { x * y };\n\n /// Returns the quotient of `x` divided by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.div(6, 2) == 3;\n /// assert (6 : Nat16) / (2 : Nat16) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat16, y : Nat16) : Nat16 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.rem(6, 4) == 2;\n /// assert (6 : Nat16) % (4 : Nat16) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat16, y : Nat16) : Nat16 { x % y };\n\n /// Returns the power of `x` to `y`, `x ** y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.pow(2, 3) == 8;\n /// assert (2 : Nat16) ** (3 : Nat16) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat16, y : Nat16) : Nat16 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitnot(0) == 65535;\n /// assert ^(0 : Nat16) == 65535;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat16) : Nat16 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitand(0, 1) == 0;\n /// assert (0 : Nat16) & (1 : Nat16) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat16, y : Nat16) : Nat16 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitor(0, 1) == 1;\n /// assert (0 : Nat16) | (1 : Nat16) == 1;\n /// ```\n public func bitor(x : Nat16, y : Nat16) : Nat16 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitxor(0, 1) == 1;\n /// assert (0 : Nat16) ^ (1 : Nat16) == 1;\n /// ```\n public func bitxor(x : Nat16, y : Nat16) : Nat16 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitshiftLeft(1, 3) == 8;\n /// assert (1 : Nat16) << (3 : Nat16) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat16, y : Nat16) : Nat16 {\n x << y\n };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitshiftRight(8, 3) == 1;\n /// assert (8 : Nat16) >> (3 : Nat16) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat16, y : Nat16) : Nat16 {\n x >> y\n };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitrotLeft(2, 1) == 4;\n /// assert (2 : Nat16) <<> (1 : Nat16) == 4;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat16, y : Nat16) : Nat16 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitrotRight(1, 1) == 32768;\n /// assert (1 : Nat16) <>> (1 : Nat16) == 32768;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat16, y : Nat16) : Nat16 {\n x <>> y\n };\n\n /// Returns the value of bit `p mod 16` in `x`, `(x & 2^(p mod 16)) == 2^(p mod 16)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bittest(5, 2);\n /// ```\n public func bittest(x : Nat16, p : Nat) : Bool {\n Prim.btstNat16(x, Prim.natToNat16(p))\n };\n\n /// Returns the value of setting bit `p mod 16` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitset(0, 2) == 4;\n /// ```\n public func bitset(x : Nat16, p : Nat) : Nat16 {\n x | (1 << Prim.natToNat16(p))\n };\n\n /// Returns the value of clearing bit `p mod 16` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat16, p : Nat) : Nat16 {\n x & ^(1 << Prim.natToNat16(p))\n };\n\n /// Returns the value of flipping bit `p mod 16` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat16, p : Nat) : Nat16 {\n x ^ (1 << Prim.natToNat16(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat16) -> Nat16 = Prim.popcntNat16;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitcountLeadingZero(5) == 13;\n /// ```\n public let bitcountLeadingZero : (x : Nat16) -> Nat16 = Prim.clzNat16;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.bitcountTrailingZero(5) == 0;\n /// ```\n public let bitcountTrailingZero : (x : Nat16) -> Nat16 = Prim.ctzNat16;\n\n /// Returns the upper (i.e. most significant) and lower (least significant) byte of `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.explode 0xaa88 == (170, 136);\n /// ```\n public let explode : (x : Nat16) -> (msb : Nat8, lsb : Nat8) = Prim.explodeNat16;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.addWrap(65532, 5) == 1;\n /// assert (65532 : Nat16) +% (5 : Nat16) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat16, y : Nat16) : Nat16 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.subWrap(1, 2) == 65535;\n /// assert (1 : Nat16) -% (2 : Nat16) == 65535;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat16, y : Nat16) : Nat16 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.mulWrap(655, 101) == 619;\n /// assert (655 : Nat16) *% (101 : Nat16) == 619;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat16, y : Nat16) : Nat16 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat16.powWrap(2, 16) == 0;\n /// assert (2 : Nat16) **% (16 : Nat16) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat16, y : Nat16) : Nat16 { x **% y };\n\n /// Returns an iterator over `Nat16` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat16, toExclusive : Nat16) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat16 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat16` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat16, to : Nat16) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat16 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat16 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat16.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"Nat8.mo":{"content":"/// Utility functions on 8-bit unsigned integers.\n///\n/// Note that most operations are available as built-in operators (e.g. `1 + 1`).\n///\n/// Import from the core package to use this module.\n/// ```motoko name=import\n/// import Nat8 \"mo:core/Nat8\";\n/// ```\nimport Nat \"Nat\";\nimport Iter \"Iter\";\nimport Prim \"mo:⛔\";\nimport Order \"Order\";\n\nmodule {\n\n /// 8-bit natural numbers.\n public type Nat8 = Prim.Types.Nat8;\n\n /// Maximum 8-bit natural number. `2 ** 8 - 1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.maxValue == (255 : Nat8);\n /// ```\n public let maxValue : Nat8 = 255;\n\n /// Converts an 8-bit unsigned integer to an unsigned integer with infinite precision.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat(123) == (123 : Nat);\n /// ```\n public let toNat : (self : Nat8) -> Nat = Prim.nat8ToNat;\n\n /// Converts an unsigned integer with infinite precision to an 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat(123) == (123 : Nat8);\n /// ```\n public let fromNat : Nat -> Nat8 = Prim.natToNat8;\n\n /// Converts a 16-bit unsigned integer to a 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat16(123) == (123 : Nat8);\n /// ```\n public let fromNat16 : Nat16 -> Nat8 = Prim.nat16ToNat8;\n\n /// Converts an 8-bit unsigned integer to a 16-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat16(123) == (123 : Nat16);\n /// ```\n public let toNat16 : (self : Nat8) -> Nat16 = Prim.nat8ToNat16;\n\n /// Converts a 32-bit unsigned integer to a 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat32(123) == (123 : Nat8);\n /// ```\n public func fromNat32(x : Nat32) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(x))\n };\n\n /// Converts an 8-bit unsigned integer to a 32-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat32(123) == (123 : Nat32);\n /// ```\n public func toNat32(self : Nat8) : Nat32 {\n Prim.nat16ToNat32(Prim.nat8ToNat16(self))\n };\n\n /// Converts a 64-bit unsigned integer to a 8-bit unsigned integer.\n ///\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromNat64(123) == (123 : Nat8);\n /// ```\n public func fromNat64(x : Nat64) : Nat8 {\n Prim.nat16ToNat8(Prim.nat32ToNat16(Prim.nat64ToNat32(x)))\n };\n\n /// Converts an 8-bit unsigned integer to a 64-bit unsigned integer.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toNat64(123) == (123 : Nat64);\n /// ```\n public func toNat64(self : Nat8) : Nat64 {\n Prim.nat32ToNat64(Prim.nat16ToNat32(Prim.nat8ToNat16(self)))\n };\n\n /// Converts a signed integer with infinite precision to an 8-bit unsigned integer.\n ///\n /// Wraps on overflow/underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.fromIntWrap(123) == (123 : Nat8);\n /// ```\n public let fromIntWrap : Int -> Nat8 = Prim.intToNat8Wrap;\n\n /// Converts `x` to its textual representation.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.toText(123) == (\"123\" : Text);\n /// ```\n public func toText(self : Nat8) : Text {\n Nat.toText(toNat(self))\n };\n\n /// Returns the minimum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.min(123, 200) == (123 : Nat8);\n /// ```\n public func min(x : Nat8, y : Nat8) : Nat8 {\n if (x < y) { x } else { y }\n };\n\n /// Returns the maximum of `x` and `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.max(123, 200) == (200 : Nat8);\n /// ```\n public func max(x : Nat8, y : Nat8) : Nat8 {\n if (x < y) { y } else { x }\n };\n\n /// Equality function for Nat8 types.\n /// This is equivalent to `x == y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.equal(1, 1);\n /// assert (1 : Nat8) == (1 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `==` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `==`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// let a : Nat8 = 111;\n /// let b : Nat8 = 222;\n /// assert not Nat8.equal(a, b);\n /// ```\n public func equal(x : Nat8, y : Nat8) : Bool { x == y };\n\n /// Inequality function for Nat8 types.\n /// This is equivalent to `x != y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.notEqual(1, 2);\n /// assert (1 : Nat8) != (2 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `!=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `!=`\n /// as a function value at the moment.\n public func notEqual(x : Nat8, y : Nat8) : Bool { x != y };\n\n /// \"Less than\" function for Nat8 types.\n /// This is equivalent to `x < y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.less(1, 2);\n /// assert (1 : Nat8) < (2 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<`\n /// as a function value at the moment.\n public func less(x : Nat8, y : Nat8) : Bool { x < y };\n\n /// \"Less than or equal\" function for Nat8 types.\n /// This is equivalent to `x <= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.lessOrEqual(1, 2);\n /// assert 1 <= 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<=`\n /// as a function value at the moment.\n public func lessOrEqual(x : Nat8, y : Nat8) : Bool { x <= y };\n\n /// \"Greater than\" function for Nat8 types.\n /// This is equivalent to `x > y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.greater(2, 1);\n /// assert (2 : Nat8) > (1 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>`\n /// as a function value at the moment.\n public func greater(x : Nat8, y : Nat8) : Bool { x > y };\n\n /// \"Greater than or equal\" function for Nat8 types.\n /// This is equivalent to `x >= y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.greaterOrEqual(2, 1);\n /// assert (2 : Nat8) >= (1 : Nat8);\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>=` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>=`\n /// as a function value at the moment.\n public func greaterOrEqual(x : Nat8, y : Nat8) : Bool { x >= y };\n\n /// General purpose comparison function for `Nat8`. Returns the `Order` (\n /// either `#less`, `#equal`, or `#greater`) of comparing `x` with `y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.compare(2, 3) == #less;\n /// ```\n ///\n /// This function can be used as value for a high order function, such as a sort function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.sort([2, 3, 1] : [Nat8], Nat8.compare) == [1, 2, 3];\n /// ```\n public func compare(x : Nat8, y : Nat8) : Order.Order {\n if (x < y) { #less } else if (x == y) { #equal } else {\n #greater\n }\n };\n\n /// Returns the sum of `x` and `y`, `x + y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.add(1, 2) == 3;\n /// assert (1 : Nat8) + (2 : Nat8) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 0, Nat8.add) == 6;\n /// ```\n public func add(x : Nat8, y : Nat8) : Nat8 { x + y };\n\n /// Returns the difference of `x` and `y`, `x - y`.\n /// Traps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.sub(2, 1) == 1;\n /// assert (2 : Nat8) - (1 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 20, Nat8.sub) == 14;\n /// ```\n public func sub(x : Nat8, y : Nat8) : Nat8 { x - y };\n\n /// Returns the product of `x` and `y`, `x * y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.mul(2, 3) == 6;\n /// assert (2 : Nat8) * (3 : Nat8) == 6;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*`\n /// as a function value at the moment.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n /// assert Array.foldLeft([2, 3, 1], 1, Nat8.mul) == 6;\n /// ```\n public func mul(x : Nat8, y : Nat8) : Nat8 { x * y };\n\n /// Returns the quotient of `x` divided by `y`, `x / y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.div(6, 2) == 3;\n /// assert (6 : Nat8) / (2 : Nat8) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `/` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `/`\n /// as a function value at the moment.\n public func div(x : Nat8, y : Nat8) : Nat8 { x / y };\n\n /// Returns the remainder of `x` divided by `y`, `x % y`.\n /// Traps when `y` is zero.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.rem(6, 4) == 2;\n /// assert (6 : Nat8) % (4 : Nat8) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `%`\n /// as a function value at the moment.\n public func rem(x : Nat8, y : Nat8) : Nat8 { x % y };\n\n /// Returns `x` to the power of `y`, `x ** y`.\n /// Traps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.pow(2, 3) == 8;\n /// assert (2 : Nat8) ** (3 : Nat8) == 8;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**`\n /// as a function value at the moment.\n public func pow(x : Nat8, y : Nat8) : Nat8 { x ** y };\n\n /// Returns the bitwise negation of `x`, `^x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitnot(0) == 255;\n /// assert ^(0 : Nat8) == 255;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitnot(x : Nat8) : Nat8 { ^x };\n\n /// Returns the bitwise and of `x` and `y`, `x & y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitand(3, 2) == 2;\n /// assert (3 : Nat8) & (2 : Nat8) == 2;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `&` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `&`\n /// as a function value at the moment.\n public func bitand(x : Nat8, y : Nat8) : Nat8 { x & y };\n\n /// Returns the bitwise or of `x` and `y`, `x | y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitor(3, 2) == 3;\n /// assert (3 : Nat8) | (2 : Nat8) == 3;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `|` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `|`\n /// as a function value at the moment.\n public func bitor(x : Nat8, y : Nat8) : Nat8 { x | y };\n\n /// Returns the bitwise exclusive or of `x` and `y`, `x ^ y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitxor(3, 2) == 1;\n /// assert (3 : Nat8) ^ (2 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `^` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `^`\n /// as a function value at the moment.\n public func bitxor(x : Nat8, y : Nat8) : Nat8 { x ^ y };\n\n /// Returns the bitwise shift left of `x` by `y`, `x << y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitshiftLeft(1, 2) == 4;\n /// assert (1 : Nat8) << (2 : Nat8) == 4;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<`\n /// as a function value at the moment.\n public func bitshiftLeft(x : Nat8, y : Nat8) : Nat8 { x << y };\n\n /// Returns the bitwise shift right of `x` by `y`, `x >> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitshiftRight(4, 2) == 1;\n /// assert (4 : Nat8) >> (2 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `>>`\n /// as a function value at the moment.\n public func bitshiftRight(x : Nat8, y : Nat8) : Nat8 { x >> y };\n\n /// Returns the bitwise rotate left of `x` by `y`, `x <<> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitrotLeft(128, 1) == 1;\n /// assert (128 : Nat8) <<> (1 : Nat8) == 1;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<<>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<<>`\n /// as a function value at the moment.\n public func bitrotLeft(x : Nat8, y : Nat8) : Nat8 { x <<> y };\n\n /// Returns the bitwise rotate right of `x` by `y`, `x <>> y`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitrotRight(1, 1) == 128;\n /// assert (1 : Nat8) <>> (1 : Nat8) == 128;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `<>>` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `<>>`\n /// as a function value at the moment.\n public func bitrotRight(x : Nat8, y : Nat8) : Nat8 { x <>> y };\n\n /// Returns the value of bit `p mod 8` in `x`, `(x & 2^(p mod 8)) == 2^(p mod 8)`.\n /// This is equivalent to checking if the `p`-th bit is set in `x`, using 0 indexing.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bittest(5, 2);\n /// ```\n public func bittest(x : Nat8, p : Nat) : Bool {\n Prim.btstNat8(x, Prim.natToNat8(p))\n };\n\n /// Returns the value of setting bit `p mod 8` in `x` to `1`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitset(5, 1) == 7;\n /// ```\n public func bitset(x : Nat8, p : Nat) : Nat8 {\n x | (1 << Prim.natToNat8(p))\n };\n\n /// Returns the value of clearing bit `p mod 8` in `x` to `0`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitclear(5, 2) == 1;\n /// ```\n public func bitclear(x : Nat8, p : Nat) : Nat8 {\n x & ^(1 << Prim.natToNat8(p))\n };\n\n /// Returns the value of flipping bit `p mod 8` in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitflip(5, 2) == 1;\n /// ```\n public func bitflip(x : Nat8, p : Nat) : Nat8 {\n x ^ (1 << Prim.natToNat8(p))\n };\n\n /// Returns the count of non-zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitcountNonZero(5) == 2;\n /// ```\n public let bitcountNonZero : (x : Nat8) -> Nat8 = Prim.popcntNat8;\n\n /// Returns the count of leading zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitcountLeadingZero(5) == 5;\n /// ```\n public let bitcountLeadingZero : (x : Nat8) -> Nat8 = Prim.clzNat8;\n\n /// Returns the count of trailing zero bits in `x`.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.bitcountTrailingZero(6) == 1;\n /// ```\n public let bitcountTrailingZero : (x : Nat8) -> Nat8 = Prim.ctzNat8;\n\n /// Returns the sum of `x` and `y`, `x +% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.addWrap(230, 26) == 0;\n /// assert (230 : Nat8) +% (26 : Nat8) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `+%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `+%`\n /// as a function value at the moment.\n public func addWrap(x : Nat8, y : Nat8) : Nat8 { x +% y };\n\n /// Returns the difference of `x` and `y`, `x -% y`. Wraps on underflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.subWrap(0, 1) == 255;\n /// assert (0 : Nat8) -% (1 : Nat8) == 255;\n /// ```\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `-%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `-%`\n /// as a function value at the moment.\n public func subWrap(x : Nat8, y : Nat8) : Nat8 { x -% y };\n\n /// Returns the product of `x` and `y`, `x *% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.mulWrap(230, 26) == 92;\n /// assert (230 : Nat8) *% (26 : Nat8) == 92;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `*%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `*%`\n /// as a function value at the moment.\n public func mulWrap(x : Nat8, y : Nat8) : Nat8 { x *% y };\n\n /// Returns `x` to the power of `y`, `x **% y`. Wraps on overflow.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert Nat8.powWrap(2, 8) == 0;\n /// assert (2 : Nat8) **% (8 : Nat8) == 0;\n /// ```\n ///\n /// Note: The reason why this function is defined in this library (in addition\n /// to the existing `**%` operator) is so that you can use it as a function\n /// value to pass to a higher order function. It is not possible to use `**%`\n /// as a function value at the moment.\n public func powWrap(x : Nat8, y : Nat8) : Nat8 { x **% y };\n\n /// Returns an iterator over `Nat8` values from the first to second argument with an exclusive upper bound.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.range(1, 4);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.range(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func range(fromInclusive : Nat8, toExclusive : Nat8) : Iter.Iter {\n if (fromInclusive >= toExclusive) {\n Iter.empty()\n } else {\n object {\n var n = fromInclusive;\n public func next() : ?Nat8 {\n if (n == toExclusive) {\n null\n } else {\n let result = n;\n n += 1;\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over `Nat8` values from the first to second argument, inclusive.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.rangeInclusive(1, 3);\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// assert iter.next() == ?3;\n /// assert iter.next() == null;\n /// ```\n ///\n /// If the first argument is greater than the second argument, the function returns an empty iterator.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.rangeInclusive(4, 1);\n /// assert iter.next() == null; // empty iterator\n /// ```\n public func rangeInclusive(from : Nat8, to : Nat8) : Iter.Iter {\n if (from > to) {\n Iter.empty()\n } else {\n object {\n var n = from;\n var done = false;\n public func next() : ?Nat8 {\n if (done) {\n null\n } else {\n let result = n;\n if (n == to) {\n done := true\n } else {\n n += 1\n };\n ?result\n }\n }\n }\n }\n };\n\n /// Returns an iterator over all Nat8 values, from 0 to maxValue.\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let iter = Nat8.allValues();\n /// assert iter.next() == ?0;\n /// assert iter.next() == ?1;\n /// assert iter.next() == ?2;\n /// // ...\n /// ```\n public func allValues() : Iter.Iter {\n rangeInclusive(0, maxValue)\n };\n\n}\n"},"List.mo":{"content":"/// A mutable growable array data structure with efficient random access and dynamic resizing.\n/// `List` provides O(1) access time and O(sqrt(n)) memory overhead. In contrast, `pure/List` is a purely functional linked list.\n/// Can be declared `stable` for orthogonal persistence.\n///\n/// This implementation is adapted with permission from the `vector` Mops package created by Research AG.\n///\n/// Copyright: 2023 MR Research AG\n/// Main author: Andrii Stepanov (AStepanov25)\n/// Contributors: Timo Hanke (timohanke), Andy Gura (andygura), react0r-com\n///\n/// ```motoko name=import\n/// import List \"mo:core/List\";\n/// ```\n\nimport PureList \"pure/List\";\nimport Prim \"mo:⛔\";\nimport Nat32 \"Nat32\";\nimport Array \"Array\";\nimport Nat \"Nat\";\nimport Option \"Option\";\nimport VarArray \"VarArray\";\nimport Types \"Types\";\n\nmodule {\n /// `List` provides a mutable list of elements of type `T`.\n /// Based on the paper \"Resizable Arrays in Optimal Time and Space\" by Brodnik, Carlsson, Demaine, Munro and Sedgewick (1999).\n /// Since this is internally a two-dimensional array the access times for put and get operations\n /// will naturally be 2x slower than Buffer and Array. However, Array is not resizable and Buffer\n /// has `O(size)` memory waste.\n ///\n /// The maximum number of elements in a `List` is 2^32.\n public type List = Types.List;\n\n let INTERNAL_ERROR = \"List: internal error\";\n\n /// Creates a new empty List for elements of type T.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty(); // Creates a new List\n /// ```\n public func empty() : List = {\n // the first block is always empty and is present in each List\n // this is done to optimize locate, at, get, etc\n var blocks = [var [var]];\n // can't be 0 in any List\n var blockIndex = 1;\n var elementIndex = 0\n };\n\n /// Returns a new list with capacity and size 1, containing `element`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.singleton(1);\n /// assert List.toText(list, Nat.toText) == \"List[1]\";\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func singleton(element : T) : List = {\n var blockIndex = 2;\n var blocks = [var [var], [var ?element]];\n var elementIndex = 0\n };\n\n func repeatInternal(initValue : ?T, size : Nat) : List {\n let (blockIndex, elementIndex) = locate(size);\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n var i = 1;\n while (i < blockIndex) {\n dataBlocks[i] := VarArray.repeat(initValue, dataBlockSize(i));\n i += 1\n };\n if (elementIndex != 0) {\n dataBlocks[blockIndex] := if (Option.isNull(initValue)) VarArray.repeat(\n null,\n dataBlockSize(blockIndex)\n ) else VarArray.tabulate(\n dataBlockSize(blockIndex),\n func i = if (i < elementIndex) initValue else null\n )\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Creates a new List with `size` copies of the initial value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.repeat(2, 4);\n /// assert List.toArray(list) == [2, 2, 2, 2];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n public func repeat(initValue : T, size : Nat) : List = repeatInternal(?initValue, size);\n\n /// Fills all elements in the list with the given value.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3]);\n /// List.fill(list, 0); // fills the list with 0\n /// assert List.toArray(list) == [0, 0, 0];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func fill(self : List, value : T) {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = if (i == blockIndex) elementIndex else db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n db[j] := ?value;\n j += 1\n };\n i += 1\n }\n };\n\n /// Converts a mutable `List` to a purely functional `PureList`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3]);\n /// let pureList = List.toPure(list); // converts to immutable PureList\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n /// @deprecated M0235\n public func toPure(self : List) : PureList.List {\n var result : PureList.List = null;\n\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) result := ?(x, result);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n result\n };\n\n /// Converts a purely functional `PureList` to a `List`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import PureList \"mo:core/pure/List\";\n ///\n /// let pureList = PureList.fromArray([1, 2, 3]);\n /// let list = List.fromPure(pureList); // converts to List\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n /// @deprecated M0235\n public func fromPure(pure : PureList.List) : List {\n var p = pure;\n var list = empty();\n loop {\n switch (p) {\n case (?(x, xs)) {\n add(list, x);\n p := xs\n };\n case null return list\n }\n }\n };\n\n func addRepeatInternal(list : List, initValue : ?T, count : Nat) {\n let (b, e) = locate(size(list) + count);\n let blocksCount = newIndexBlockLength(Nat32.fromNat(if (e == 0) b - 1 else b));\n\n let oldBlocksCount = list.blocks.size();\n if (oldBlocksCount < blocksCount) {\n let oldBlocks = list.blocks;\n let blocks = VarArray.repeat<[var ?T]>([var], blocksCount);\n var i = 0;\n while (i < oldBlocksCount) {\n blocks[i] := oldBlocks[i];\n i += 1\n };\n list.blocks := blocks\n };\n\n let blocks = list.blocks;\n var blockIndex = list.blockIndex;\n var elementIndex = list.elementIndex;\n\n var cnt = count;\n label L while (cnt > 0) {\n if (blocks[blockIndex].size() == 0) {\n let dbSize = dataBlockSize(blockIndex);\n if (cnt >= dbSize) {\n blocks[blockIndex] := VarArray.repeat(initValue, dbSize);\n blockIndex += 1;\n cnt -= dbSize;\n continue L\n };\n blocks[blockIndex] := VarArray.repeat(null, dbSize)\n };\n\n let block = blocks[blockIndex];\n let dbSize = block.size();\n let to = Nat.min(elementIndex + cnt, dbSize);\n cnt -= to - elementIndex;\n\n while (elementIndex < to) {\n block[elementIndex] := initValue;\n elementIndex += 1\n };\n\n if (elementIndex == dbSize) {\n elementIndex := 0;\n blockIndex += 1\n }\n };\n\n list.blockIndex := blockIndex;\n list.elementIndex := elementIndex\n };\n\n private func reserve(list : List, size : Nat) {\n let blockIndex = list.blockIndex;\n let elementIndex = list.elementIndex;\n\n addRepeatInternal(list, null, size);\n\n list.blockIndex := blockIndex;\n list.elementIndex := elementIndex\n };\n\n /// Add to list `count` copies of the initial value.\n ///\n /// ```motoko include=import\n /// let list = List.repeat(2, 4); // [2, 2, 2, 2]\n /// List.addRepeat(list, 2, 1); // [2, 2, 2, 2, 1, 1]\n /// ```\n ///\n /// The maximum number of elements in a `List` is 2^32.\n ///\n /// Runtime: `O(count)`\n public func addRepeat(self : List, initValue : T, count : Nat) = addRepeatInternal(self, ?initValue, count);\n\n /// Truncates the list to the specified size.\n /// If the new size is larger than the current size, it will do nothing.\n /// If the new size is equal to the current list size, after the operation list will be equal to cloned version of itself.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// List.truncate(list, 3); // list is now [1, 2, 3]\n /// assert List.toArray(list) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func truncate(self : List, newSize : Nat) {\n if (newSize > size(self)) return;\n\n // if newSize == size(self) then after the operation self will be equal to List.clone(self)\n let (blockIndex, elementIndex) = locate(newSize);\n self.blockIndex := blockIndex;\n self.elementIndex := elementIndex;\n let newBlocksCount = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) blockIndex - 1 else blockIndex));\n\n let newBlocks = if (newBlocksCount < self.blocks.size()) {\n let oldDataBlocks = self.blocks;\n self.blocks := VarArray.tabulate<[var ?T]>(newBlocksCount, func(i) = oldDataBlocks[i]);\n self.blocks\n } else self.blocks;\n\n var i = if (elementIndex == 0) blockIndex else blockIndex + 1;\n while (i < newBlocksCount) {\n newBlocks[i] := [var];\n i += 1\n };\n if (elementIndex != 0) {\n let block = newBlocks[blockIndex];\n var i = elementIndex;\n var to = block.size();\n while (i < to) {\n block[i] := null;\n i += 1\n }\n }\n };\n\n /// Resets the list to size 0, de-referencing all elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n /// List.clear(list); // list is now empty\n /// assert List.toArray(list) == [];\n /// ```\n ///\n /// Runtime: `O(1)`\n public func clear(self : List) {\n self.blocks := [var [var]];\n self.blockIndex := 1;\n self.elementIndex := 0\n };\n\n /// Creates a list of size `size`. Each element at index i\n /// is created by applying `generator` to i.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.tabulate(4, func i = i * 2);\n /// assert List.toArray(list) == [0, 2, 4, 6];\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `generator` runs in O(1) time and space.\n public func tabulate(size : Nat, generator : Nat -> T) : List {\n let (blockIndex, elementIndex) = locate(size);\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n\n var i = 1;\n var pos = 0;\n\n while (i < blockIndex) {\n let len = dataBlockSize(i);\n dataBlocks[i] := VarArray.tabulate(len, func i = ?generator(pos + i));\n pos += len;\n i += 1\n };\n if (elementIndex != 0 and blockIndex < blocks) {\n dataBlocks[i] := VarArray.tabulate(\n dataBlockSize(blockIndex),\n func i = if (i < elementIndex) ?generator(pos + i) else null\n )\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Combines a list of lists into a single list. Retains the original\n /// ordering of the elements.\n ///\n /// This has better performance compared to `List.join()`.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let lists = List.fromArray>([\n /// List.fromArray([0, 1, 2]), List.fromArray([2, 3]), List.fromArray([]), List.fromArray([4])\n /// ]);\n /// let flatList = List.flatten(lists);\n /// assert List.equal(flatList, List.fromArray([0, 1, 2, 2, 3, 4]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in list)\n ///\n /// Space: O(number of elements in list)\n public func flatten(self : List>) : List {\n var sz = 0;\n forEach>(self, func(sublist) = sz += size(sublist));\n\n let result = repeatInternal(null, sz);\n result.blockIndex := 1;\n result.elementIndex := 0;\n\n forEach>(\n self,\n func(sublist) {\n forEach(\n sublist,\n func(item) {\n add(result, item)\n }\n )\n }\n );\n result\n };\n\n /// Combines an iterator of lists into a single list.\n /// Retains the original ordering of the elements.\n ///\n /// Consider using `List.flatten()` for better performance.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let lists = [List.fromArray([0, 1, 2]), List.fromArray([2, 3]), List.fromArray([]), List.fromArray([4])];\n /// let joinedList = List.join(lists.vals());\n /// assert List.equal(joinedList, List.fromArray([0, 1, 2, 2, 3, 4]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(number of elements in list)\n ///\n /// Space: O(number of elements in list)\n public func join(self : Types.Iter>) : List {\n var result = empty();\n for (list in self) {\n reserve(result, size(list));\n forEach(list, func item = addUnsafe(result, item))\n };\n result\n };\n\n /// Returns a copy of a List, with the same size.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 1);\n ///\n /// let clone = List.clone(list);\n /// assert List.toArray(clone) == [1];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func clone(self : List) : List = {\n var blocks = VarArray.tabulate<[var ?T]>(\n Nat.min(\n newIndexBlockLength(Nat32.fromNat(if (self.elementIndex == 0) self.blockIndex - 1 else self.blockIndex)),\n self.blocks.size()\n ),\n func(i) = VarArray.clone(self.blocks[i])\n );\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n };\n\n /// Creates a new list by applying the provided function to each element in the input list.\n /// The resulting list has the same size as the input list.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.singleton(123);\n /// let textList = List.map(list, Nat.toText);\n /// assert List.toArray(textList) == [\"123\"];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func map(self : List, f : T -> R) : List {\n let blocksCount = Nat.min(\n newIndexBlockLength(Nat32.fromNat(if (self.elementIndex == 0) self.blockIndex - 1 else self.blockIndex)),\n self.blocks.size()\n );\n let blocks = VarArray.repeat<[var ?R]>([var], blocksCount);\n\n var i = 1;\n label l while (i < blocksCount) {\n let oldBlock = self.blocks[i];\n let blockSize = oldBlock.size();\n let newBlock = VarArray.repeat(null, blockSize);\n blocks[i] := newBlock;\n var j = 0;\n\n while (j < blockSize) {\n switch (oldBlock[j]) {\n case (?item) newBlock[j] := ?f(item);\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n }\n };\n\n /// Applies `f` to each element of `list` in place,\n /// retaining the original ordering of elements.\n /// This modifies the original list.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([0, 1, 2, 3]);\n /// List.mapInPlace(list, func x = x * 3);\n /// assert List.equal(list, List.fromArray([0, 3, 6, 9]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapInPlace(self : List, f : T -> T) {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) db[j] := ?f(x);\n case null return\n };\n j += 1\n };\n i += 1\n }\n };\n\n /// Creates a new list by applying `f` to each element in `list` and its index.\n /// Retains original ordering of elements.\n ///\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([10, 10, 10, 10]);\n /// let newList = List.mapEntries(list, func (x, i) = i * x);\n /// assert List.equal(newList, List.fromArray([0, 10, 20, 30]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapEntries(self : List, f : (T, Nat) -> R) : List {\n let blocks = VarArray.repeat<[var ?R]>([var], self.blocks.size());\n let blocksCount = self.blocks.size();\n\n var index = 0;\n\n var i = 1;\n label l while (i < blocksCount) {\n let oldBlock = self.blocks[i];\n let blockSize = oldBlock.size();\n let newBlock = VarArray.repeat(null, blockSize);\n blocks[i] := newBlock;\n var j = 0;\n\n while (j < blockSize) {\n switch (oldBlock[j]) {\n case (?item) newBlock[j] := ?f(item, index);\n case null break l\n };\n j += 1;\n index += 1\n };\n i += 1\n };\n\n {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n }\n };\n\n /// Creates a new list by applying `f` to each element in `list`.\n /// If any invocation of `f` produces an `#err`, returns an `#err`. Otherwise\n /// returns an `#ok` containing the new list.\n ///\n /// ```motoko include=import\n /// import Result \"mo:core/Result\";\n ///\n /// let list = List.fromArray([4, 3, 2, 1, 0]);\n /// // divide 100 by every element in the list\n /// let result = List.mapResult(list, func x {\n /// if (x > 0) {\n /// #ok(100 / x)\n /// } else {\n /// #err \"Cannot divide by zero\"\n /// }\n /// });\n /// assert Result.isErr(result);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func mapResult(self : List, f : T -> Types.Result) : Types.Result, E> {\n var error : ?E = null;\n\n let blocks = VarArray.repeat<[var ?R]>([var], self.blocks.size());\n let blocksCount = self.blocks.size();\n\n var i = 1;\n while (i < blocksCount) {\n let oldBlock = self.blocks[i];\n let blockSize = oldBlock.size();\n let newBlock = VarArray.repeat(null, blockSize);\n blocks[i] := newBlock;\n var j = 0;\n\n while (j < blockSize) {\n switch (oldBlock[j]) {\n case (?item) newBlock[j] := switch (f(item)) {\n case (#ok x) ?x;\n case (#err e) switch (error) {\n case (null) {\n error := ?e;\n null\n };\n case (?_) null\n }\n };\n case null return switch (error) {\n case (null) return #ok {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n };\n case (?e) return #err e\n }\n };\n j += 1\n };\n i += 1\n };\n\n switch (error) {\n case (null) return #ok {\n var blocks = blocks;\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex\n };\n case (?e) return #err e\n }\n };\n\n /// Returns a new list containing only the elements from `list` for which the predicate returns true.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// let evenNumbers = List.filter(list, func x = x % 2 == 0);\n /// assert List.toArray(evenNumbers) == [2, 4];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func filter(self : List, predicate : T -> Bool) : List {\n let filtered = empty();\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return filtered;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (predicate(x)) add(filtered, x);\n case null return filtered\n };\n j += 1\n };\n i += 1\n };\n\n filtered\n };\n\n /// Retains only the elements in `list` for which the predicate returns true.\n /// Modifies the original list in place.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// List.retain(list, func x = x % 2 == 0);\n /// assert List.toArray(list) == [2, 4];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(sqrt(size))` if `list` was truncated otherwise `O(1)`\n public func retain(self : List, predicate : T -> Bool) {\n self.blockIndex := 1;\n self.elementIndex := 0;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n label l while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) break l;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (predicate(x)) addUnsafe(self, x);\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n truncate(self, size(self))\n };\n\n /// Returns a new list containing all elements from `list` for which the function returns ?element.\n /// Discards all elements for which the function returns null.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// let doubled = List.filterMap(list, func x = if (x % 2 == 0) ?(x * 2) else null);\n /// assert List.toArray(doubled) == [4, 8];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in `O(1)` time and space.\n public func filterMap(self : List, f : T -> ?R) : List {\n let filtered = empty();\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return filtered;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (f(x)) {\n case (?y) add(filtered, y);\n case null {}\n };\n case null return filtered\n };\n j += 1\n };\n i += 1\n };\n\n filtered\n };\n\n /// Creates a new list by applying `k` to each element in `list`,\n /// and concatenating the resulting iterators in order.\n ///\n /// ```motoko include=import\n /// import Int \"mo:core/Int\"\n ///\n /// let list = List.fromArray([1, 2, 3, 4]);\n /// let newList = List.flatMap(list, func x = [x, -x].vals());\n /// assert List.equal(newList, List.fromArray([1, -1, 2, -2, 3, -3, 4, -4]), Int.equal);\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `k` runs in O(1) time and space.\n public func flatMap(self : List, k : T -> Types.Iter) : List {\n let result = empty();\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return result;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) for (y in k(x)) add(result, y);\n case _ return result\n };\n j += 1\n };\n i += 1\n };\n\n result\n };\n\n func indexByBlockElement(blockIndex : Nat, elementIndex : Nat) : Nat {\n let d = Nat32.fromNat(blockIndex);\n\n // We call all data blocks of the same capacity an \"epoch\". We number the epochs 0,1,2,...\n // A data block is in epoch e iff the data block has capacity 2 ** e.\n // Each epoch starting with epoch 1 spans exactly two super blocks.\n // Super block s falls in epoch ceil(s/2).\n\n // epoch of last data block\n // e = 32 - lz\n let lz = Nat32.bitcountLeadingZero(d / 3);\n\n // capacity of all prior epochs combined\n // capacity_before_e = 2 * 4 ** (e - 1) - 1\n\n // data blocks in all prior epochs combined\n // blocks_before_e = 3 * 2 ** (e - 1) - 2\n\n // then size = d * 2 ** e + i - c\n // where c = blocks_before_e * 2 ** e - capacity_before_e\n\n // there can be overflows, but the result is without overflows, so use addWrap and subWrap\n // we don't erase bits by >>, so to use <>> is ok\n Nat32.toNat((d -% (1 <>> lz)) <>> lz +% Nat32.fromNat(elementIndex))\n };\n\n /// Returns the current number of elements in the list.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// assert List.size(list) == 0\n /// ```\n ///\n /// Runtime: `O(1)` (with some internal calculations)\n public func size(self : List) : Nat {\n // due to the design of List (blockIndex, elementIndex) pair points\n // exactly to the place where size-th element should be added\n // so, it's the inlined version of indexByBlockElement\n let d = Nat32.fromNat(self.blockIndex);\n let lz = Nat32.bitcountLeadingZero(d / 3);\n Nat32.toNat((d -% (1 <>> lz)) <>> lz +% Nat32.fromNat(self.elementIndex))\n };\n\n func dataBlockSize(blockIndex : Nat) : Nat {\n // formula for the size of given blockIndex\n // don't call it for blockIndex == 0\n Nat32.toNat(1 <>> Nat32.bitcountLeadingZero(Nat32.fromNat(blockIndex) / 3))\n };\n\n func newIndexBlockLength(blockIndex : Nat32) : Nat {\n if (blockIndex <= 1) 2 else {\n let s = 30 - Nat32.bitcountLeadingZero(blockIndex);\n Nat32.toNat(((blockIndex >> s) +% 1) << s)\n }\n };\n\n func growIndexBlockIfNeeded(list : List) {\n if (list.blocks.size() == list.blockIndex) {\n let newBlocks = VarArray.repeat<[var ?T]>([var], newIndexBlockLength(Nat32.fromNat(list.blockIndex)));\n var i = 0;\n while (i < list.blockIndex) {\n newBlocks[i] := list.blocks[i];\n i += 1\n };\n list.blocks := newBlocks\n }\n };\n\n func shrinkIndexBlockIfNeeded(list : List) {\n let blockIndex = Nat32.fromNat(list.blockIndex);\n // kind of index of the first block in the super block\n if ((blockIndex << Nat32.bitcountLeadingZero(blockIndex)) << 2 == 0) {\n let newLength = newIndexBlockLength(blockIndex);\n if (newLength < list.blocks.size()) {\n let newBlocks = VarArray.repeat<[var ?T]>([var], newLength);\n var i = 0;\n while (i < newLength) {\n newBlocks[i] := list.blocks[i];\n i += 1\n };\n list.blocks := newBlocks\n }\n }\n };\n\n /// Adds a single element to the end of a List,\n /// allocating a new internal data block if needed,\n /// and resizing the internal index block if needed.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 0); // add 0 to list\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// assert List.toArray(list) == [0, 1, 2, 3];\n /// ```\n ///\n /// The maximum number of elements in a `List` is 2^32.\n ///\n /// Amortized Runtime: `O(1)`, Worst Case Runtime: `O(sqrt(n))`\n public func add(self : List, element : T) {\n var elementIndex = self.elementIndex;\n if (elementIndex == 0) {\n growIndexBlockIfNeeded(self);\n let blockIndex = self.blockIndex;\n\n // When removing last we keep one more data block, so can be not empty\n if (self.blocks[blockIndex].size() == 0) {\n self.blocks[blockIndex] := VarArray.repeat(\n null,\n dataBlockSize(blockIndex)\n )\n }\n };\n\n let lastDataBlock = self.blocks[self.blockIndex];\n\n lastDataBlock[elementIndex] := ?element;\n\n elementIndex += 1;\n if (elementIndex == lastDataBlock.size()) {\n elementIndex := 0;\n self.blockIndex += 1\n };\n self.elementIndex := elementIndex\n };\n\n // Add an element without checking and resizing the List\n private func addUnsafe(list : List, element : T) {\n var elementIndex = list.elementIndex;\n let lastDataBlock = list.blocks[list.blockIndex];\n lastDataBlock[elementIndex] := ?element;\n\n elementIndex += 1;\n if (elementIndex == lastDataBlock.size()) {\n elementIndex := 0;\n list.blockIndex += 1\n };\n list.elementIndex := elementIndex\n };\n\n /// Removes and returns the last item in the list or `null` if\n /// the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// assert List.removeLast(list) == ?11;\n /// assert List.removeLast(list) == ?10;\n /// assert List.removeLast(list) == null;\n /// ```\n ///\n /// Amortized Runtime: `O(1)`, Worst Case Runtime: `O(sqrt(n))`\n ///\n /// Amortized Space: `O(1)`, Worst Case Space: `O(sqrt(n))`\n public func removeLast(self : List) : ?T {\n var elementIndex = self.elementIndex;\n if (elementIndex == 0) {\n var blockIndex = self.blockIndex;\n if (blockIndex == 1) {\n return null\n };\n\n shrinkIndexBlockIfNeeded(self);\n\n blockIndex -= 1;\n elementIndex := self.blocks[blockIndex].size();\n\n // Keep one totally empty block when removing\n if (blockIndex + 2 < self.blocks.size()) self.blocks[blockIndex + 2] := [var];\n\n self.blockIndex := blockIndex\n };\n elementIndex -= 1;\n\n let lastDataBlock = self.blocks[self.blockIndex];\n\n let element = lastDataBlock[elementIndex];\n lastDataBlock[elementIndex] := null;\n\n self.elementIndex := elementIndex;\n return element\n };\n\n func locate(index : Nat) : (Nat, Nat) {\n // see comments in tests\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n if (lz & 1 == 0) {\n (Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2)), Nat32.toNat(i & (0xFFFF >> lz2)))\n } else {\n (Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2)), Nat32.toNat(i & (0x7FFF >> lz2)))\n }\n };\n\n /// Returns the element at index `index`. Indexing is zero-based.\n /// Traps if `index >= size`, error message may not be descriptive.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// assert List.at(list, 0) == 10;\n /// ```\n ///\n /// Runtime: `O(1)`\n public func at(self : List, index : Nat) : T {\n // inlined version of:\n // let (a,b) = locate(index);\n // switch(self.blocks[a][b]) {\n // case (?element) element;\n // case (null) Prim.trap \"\";\n // };\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n switch (\n if (lz & 1 == 0) {\n self.blocks[Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2))][Nat32.toNat(i & (0xFFFF >> lz2))]\n } else {\n self.blocks[Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2))][Nat32.toNat(i & (0x7FFF >> lz2))]\n }\n ) {\n case (?result) return result;\n case (_) Prim.trap \"List index out of bounds in get\"\n }\n };\n\n /// Returns the element at index `index` as an option.\n /// Returns `null` when `index >= size`. Indexing is zero-based.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// assert List.get(list, 0) == ?10;\n /// assert List.get(list, 2) == null;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n /// @deprecated M0235\n public func get(self : List, index : Nat) : ?T {\n // inlined version of locate\n let (a, b) = do {\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n if (lz & 1 == 0) {\n (Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2)), Nat32.toNat(i & (0xFFFF >> lz2)))\n } else {\n (Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2)), Nat32.toNat(i & (0x7FFF >> lz2)))\n }\n };\n if (a < self.blockIndex or self.elementIndex != 0 and a == self.blockIndex) {\n self.blocks[a][b]\n } else null\n };\n\n /// Overwrites the current element at `index` with `element`.\n /// Traps if `index` >= size, error message may not be descriptive. Indexing is zero-based.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.put(list, 0, 20); // overwrites 10 at index 0 with 20\n /// assert List.toArray(list) == [20];\n /// ```\n ///\n /// Runtime: `O(1)`\n public func put(self : List, index : Nat, value : T) {\n let i = Nat32.fromNat(index);\n let lz = Nat32.bitcountLeadingZero(i);\n let lz2 = lz >> 1;\n let (block, element) = if (lz & 1 == 0) {\n (self.blocks[Nat32.toNat(((i << lz2) >> 16) ^ (0x10000 >> lz2))], Nat32.toNat(i & (0xFFFF >> lz2)))\n } else {\n (self.blocks[Nat32.toNat(((i << lz2) >> 15) ^ (0x18000 >> lz2))], Nat32.toNat(i & (0x7FFF >> lz2)))\n };\n\n switch (block[element]) {\n case (?_) block[element] := ?value;\n case _ Prim.trap \"List index out of bounds in put\"\n }\n };\n\n /// Sorts the elements in the list according to `compare`.\n /// Sort is deterministic, stable, and in-place.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 3);\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.sortInPlace(list, Nat.compare);\n /// assert List.toArray(list) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sortInPlace(self : List, compare : (implicit : (T, T) -> Types.Order)) {\n if (size(self) < 2) return;\n let array = toVarArray(self);\n\n VarArray.sortInPlace(array, compare);\n\n var index = 0;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?_) db[j] := ?array[index];\n case _ return\n };\n index += 1;\n j += 1\n };\n i += 1\n }\n };\n\n /// Sorts the elements in the list according to `compare`.\n /// Sort is deterministic, stable, and in-place.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 3);\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// let sorted = List.sort(list, Nat.compare);\n /// assert List.toArray(sorted) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: O(size * log(size))\n ///\n /// Space: O(size)\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func sort(self : List, compare : (implicit : (T, T) -> Types.Order)) : List {\n let array = toVarArray(self);\n VarArray.sortInPlace(array, compare);\n fromVarArray(array)\n };\n\n /// Checks whether the `list` is sorted.\n ///\n /// Example:\n /// ```\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n /// assert List.isSorted(list, Nat.compare);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func isSorted(self : List, compare : (implicit : (T, T) -> Types.Order)) : Bool {\n var prev = switch (first(self)) {\n case (?x) x;\n case _ return true\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return true;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (compare(x, prev)) {\n case (#greater or #equal) prev := x;\n case (#less) return false\n };\n case null return true\n };\n j += 1\n };\n i += 1\n };\n\n true\n };\n\n /// Remove adjacent duplicates from the `list`, if the `list` is sorted all elements will be unique.\n ///\n /// Example:\n /// ```\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 1, 2, 2, 3]);\n /// List.deduplicate(list, Nat.equal);\n /// assert List.equal(list, List.fromArray([1, 2, 3]), Nat.equal);\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func deduplicate(self : List, equal : (implicit : (T, T) -> Bool)) {\n var prev = switch (first(self)) {\n case (?x) x;\n case _ return\n };\n\n self.blockIndex := 1;\n self.elementIndex := 0;\n\n addUnsafe(self, prev);\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n label l while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return break l;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) {\n if (not equal(x, prev)) addUnsafe(self, x);\n prev := x\n };\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n truncate(self, size(self))\n };\n\n /// Finds the first index of `element` in `list` using equality of elements defined\n /// by `equal`. Returns `null` if `element` is not found.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.indexOf(list, Nat.equal, 3) == ?2;\n /// assert List.indexOf(list, Nat.equal, 5) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `equal` runs in `O(1)` time and space.\n public func indexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T) : ?Nat {\n if (isEmpty(self)) return null;\n nextIndexOf(self, equal, element, 0)\n };\n\n /// Returns the index of the next occurence of `element` in the `list` starting from the `from` index (inclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let list = List.fromArray(['c', 'o', 'f', 'f', 'e', 'e']);\n /// assert List.nextIndexOf(list, Char.equal, 'c', 0) == ?0;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 0) == ?2;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 2) == ?2;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 3) == ?3;\n /// assert List.nextIndexOf(list, Char.equal, 'f', 4) == null;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func nextIndexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T, fromInclusive : Nat) : ?Nat {\n if (fromInclusive >= size(self)) Prim.trap \"List index out of bounds in nextIndexOf\";\n\n let (blockIndex, elementIndex) = locate(fromInclusive);\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = blockIndex;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return null;\n\n var j = if (i == blockIndex) elementIndex else 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (equal(x, element)) return ?indexByBlockElement(i, j);\n case null return null\n };\n j += 1\n };\n i += 1\n };\n null\n };\n\n /// Finds the last index of `element` in `list` using equality of elements defined\n /// by `equal`. Returns `null` if `element` is not found.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 2, 3, 4, 2, 2]);\n ///\n /// assert List.lastIndexOf(list, Nat.equal, 2) == ?5;\n /// assert List.lastIndexOf(list, Nat.equal, 5) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `equal` runs in `O(1)` time and space.\n public func lastIndexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T) : ?Nat = prevIndexOf(\n self,\n equal,\n element,\n size(self)\n );\n\n /// Returns the index of the previous occurence of `element` in the `list` starting from the `from` index (exclusive).\n ///\n /// ```motoko include=import\n /// import Char \"mo:core/Char\";\n /// let list = List.fromArray(['c', 'o', 'f', 'f', 'e', 'e']);\n /// assert List.prevIndexOf(list, Char.equal, 'c', List.size(list)) == ?0;\n /// assert List.prevIndexOf(list, Char.equal, 'e', List.size(list)) == ?5;\n /// assert List.prevIndexOf(list, Char.equal, 'e', 5) == ?4;\n /// assert List.prevIndexOf(list, Char.equal, 'e', 4) == null;\n /// ```\n ///\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n public func prevIndexOf(self : List, equal : (implicit : (T, T) -> Bool), element : T, fromExclusive : Nat) : ?Nat {\n if (fromExclusive > size(self)) Prim.trap \"List index out of bounds in prevIndexOf\";\n\n let blocks = self.blocks;\n let (blockIndex, elementIndex) = locate(fromExclusive);\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) if (equal(x, element)) return ?indexByBlockElement(i, j);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n null\n };\n\n /// Returns the first value in `list` for which `predicate` returns true.\n /// If no element satisfies the predicate, returns null.\n ///\n /// ```motoko include=import\n /// let list = List.fromArray([1, 9, 4, 8]);\n /// let found = List.find(list, func(x) { x > 8 });\n /// assert found == ?9;\n /// ```\n /// Runtime: O(size)\n ///\n /// Space: O(1)\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func find(self : List, predicate : T -> Bool) : ?T {\n Option.map(findIndex(self, predicate), func(i) = at(self, i))\n };\n\n /// Finds the index of the first element in `list` for which `predicate` is true.\n /// Returns `null` if no such element is found.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.findIndex(list, func(i) { i % 2 == 0 }) == ?1;\n /// assert List.findIndex(list, func(i) { i > 5 }) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func findIndex(self : List, predicate : T -> Bool) : ?Nat {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return null;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (predicate(x)) return ?indexByBlockElement(i, j);\n case null return null\n };\n j += 1\n };\n i += 1\n };\n null\n };\n\n /// Finds the index of the last element in `list` for which `predicate` is true.\n /// Returns `null` if no such element is found.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.findLastIndex(list, func(i) { i % 2 == 0 }) == ?3;\n /// assert List.findLastIndex(list, func(i) { i > 5 }) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// *Runtime and space assumes that `predicate` runs in `O(1)` time and space.\n public func findLastIndex(self : List, predicate : T -> Bool) : ?Nat {\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) if (predicate(x)) return ?indexByBlockElement(i, j);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n null\n };\n\n /// Performs binary search on a sorted list to find the index of the `element`.\n /// Returns `#found(index)` if the element is found, or `#insertionIndex(index)` with the index\n /// where the element would be inserted according to the ordering if not found.\n ///\n /// If there are multiple equal elements, no guarantee is made about which index is returned.\n /// The list must be sorted in ascending order according to the `compare` function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 3, 5, 7, 9, 11]);\n /// assert List.binarySearch(list, Nat.compare, 5) == #found(2);\n /// assert List.binarySearch(list, Nat.compare, 6) == #insertionIndex(3);\n /// ```\n ///\n /// Runtime: `O(log(size))`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in `O(1)` time and space.\n public func binarySearch(self : List, compare : (implicit : (T, T) -> Types.Order), element : T) : {\n #found : Nat;\n #insertionIndex : Nat\n } {\n // We call all data blocks of the same capacity an \"epoch\". We number the epochs 0,1,2,...\n // A data block is in epoch e iff the data block has capacity 2 ** e.\n // Each epoch starting with epoch 1 spans exactly two super blocks.\n // Super block s falls in epoch ceil(s/2).\n // Each epoch except e=0 contains 3 * 2 ** (e - 1) data blocks\n\n let blocks = self.blocks;\n let b = self.blockIndex - (if (self.elementIndex == 0) 1 else 0) : Nat;\n\n // block index x such that blocks[x][0] <= element\n let lessOrEqual = do {\n // epoch of the last data block\n let epoch = 32 - Nat32.bitcountLeadingZero(Nat32.fromNat(b) / 3);\n // initially block index is the first in the epoch\n var lessOrEqual = Nat32.toNat((1 << epoch) / 2);\n\n // lessOrEqual * 3 is always the first data block in an epoch\n // while the first element of the first data block in an epoch is actually grater then element go to the previous epoch\n // as the last epoch is half of the array we each iteration of the search divides the interval in four\n while (lessOrEqual != 0 and compare(Option.unwrap(blocks[lessOrEqual * 3][0]), element) == #greater) {\n lessOrEqual /= 2\n };\n\n lessOrEqual * 3\n };\n\n // Linear search in e=0, there are just two elements\n if (lessOrEqual == 0) {\n let to = Nat.min(size(self), 2);\n for (i in Nat.range(0, to)) {\n let x = at(self, i);\n switch (compare(x, element)) {\n case (#less) {};\n case (#equal) return #found(i);\n case (#greater) return #insertionIndex(i)\n }\n };\n return #insertionIndex(to)\n };\n\n // binary search the blockIndex in [left, right)\n let blockIndex = do {\n // guarateed less or equal to element\n var left = lessOrEqual;\n // right is either outside of the array or greater than element\n var right = Nat.min(b + 1, lessOrEqual * 2);\n while (right - left : Nat > 1) {\n let mid = (left + right) / 2;\n switch (compare(Option.unwrap(blocks[mid][0]), element)) {\n case (#less) left := mid;\n case (#greater) right := mid;\n case (#equal) return #found(indexByBlockElement(mid, 0))\n }\n };\n left\n };\n\n // binary search the elementIndex\n let elementIndex = do {\n let block = blocks[blockIndex];\n var left = 0;\n var right = if (blockIndex == self.blockIndex) self.elementIndex else block.size();\n while (left != right) {\n let mid = (left + right) / 2;\n switch (compare(Option.unwrap(block[mid]), element)) {\n case (#less) left := mid + 1;\n case (#greater) right := mid;\n case (#equal) return #found(indexByBlockElement(blockIndex, mid))\n }\n };\n left\n };\n\n #insertionIndex(indexByBlockElement(blockIndex, elementIndex))\n };\n\n /// Returns true iff every element in `list` satisfies `predicate`.\n /// In particular, if `list` is empty the function returns `true`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.all(list, func x { x > 1 });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func all(self : List, predicate : T -> Bool) : Bool {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return true;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) if (not predicate(x)) return false;\n case null return true\n };\n j += 1\n };\n i += 1\n };\n true\n };\n\n /// Returns true iff some element in `list` satisfies `predicate`.\n /// In particular, if `list` is empty the function returns `false`.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 2);\n /// List.add(list, 3);\n /// List.add(list, 4);\n ///\n /// assert List.any(list, func x { x > 3 });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `predicate` runs in O(1) time and space.\n public func any(self : List, predicate : T -> Bool) : Bool = findIndex(self, predicate) != null;\n\n /// Returns an Iterator (`Iter`) over the elements of a List.\n /// Iterator provides a single method `next()`, which returns\n /// elements in order, or `null` when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n ///\n /// var sum = 0;\n /// for (element in List.values(list)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n public func values(self : List) : Types.Iter = object {\n let blocks = self.blocks.size();\n var blockIndex = 0;\n var elementIndex = 0;\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n\n public func next() : ?T {\n if (elementIndex == dbSize) {\n blockIndex += 1;\n if (blockIndex >= blocks) return null;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n if (dbSize == 0) return null;\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n elementIndex += 1;\n return ?x\n };\n case (_) return null\n }\n }\n };\n\n /// Returns an Iterator (`Iter`) over the items (index-value pairs) in the list.\n /// Each item is a tuple of `(index, value)`. The iterator provides a single method\n /// `next()` which returns elements in order, or `null` when out of elements.\n ///\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n /// assert Iter.toArray(List.enumerate(list)) == [(0, 10), (1, 11), (2, 12)];\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n ///\n /// Warning: Allocates memory on the heap to store ?(Nat, T).\n public func enumerate(self : List) : Types.Iter<(Nat, T)> = object {\n let blocks = self.blocks.size();\n var blockIndex = 0;\n var elementIndex = 0;\n var size = 0;\n var db : [var ?T] = [var];\n var i = 0;\n\n public func next() : ?(Nat, T) {\n if (elementIndex == size) {\n blockIndex += 1;\n if (blockIndex >= blocks) return null;\n db := self.blocks[blockIndex];\n size := db.size();\n if (size == 0) return null;\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n let ret = ?(i, x);\n elementIndex += 1;\n i += 1;\n return ret\n };\n case (_) return null\n }\n }\n };\n\n /// Returns an Iterator (`Iter`) over the elements of the list in reverse order.\n /// The iterator provides a single method `next()` which returns elements from\n /// last to first, or `null` when out of elements.\n ///\n /// ```motoko include=import\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n ///\n /// var sum = 0;\n /// for (element in List.reverseValues(list)) {\n /// sum += element;\n /// };\n /// assert sum == 33;\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n public func reverseValues(self : List) : Types.Iter = object {\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex;\n var db : [var ?T] = if (blockIndex < self.blocks.size()) {\n self.blocks[blockIndex]\n } else { [var] };\n\n public func next() : ?T {\n if (elementIndex != 0) {\n elementIndex -= 1\n } else {\n blockIndex -= 1;\n if (blockIndex == 0) return null;\n db := self.blocks[blockIndex];\n elementIndex := db.size() - 1\n };\n\n db[elementIndex]\n }\n };\n\n /// Returns an Iterator (`Iter`) over the items in reverse order, i.e. pairs of index and value.\n /// Iterator provides a single method `next()`, which returns\n /// elements in reverse order, or `null` when out of elements to iterate over.\n ///\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.empty();\n /// List.add(list, 10);\n /// List.add(list, 11);\n /// List.add(list, 12);\n /// assert Iter.toArray(List.reverseEnumerate(list)) == [(2, 12), (1, 11), (0, 10)];\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n ///\n /// Warning: Allocates memory on the heap to store ?(T, Nat).\n public func reverseEnumerate(self : List) : Types.Iter<(Nat, T)> = object {\n var i = size(self);\n var blockIndex = self.blockIndex;\n var elementIndex = self.elementIndex;\n var db : [var ?T] = if (blockIndex < self.blocks.size()) {\n self.blocks[blockIndex]\n } else { [var] };\n\n public func next() : ?(Nat, T) {\n if (elementIndex != 0) {\n elementIndex -= 1\n } else {\n blockIndex -= 1;\n if (blockIndex == 0) return null;\n db := self.blocks[blockIndex];\n elementIndex := db.size() - 1\n };\n switch (db[elementIndex]) {\n case (?x) {\n i -= 1;\n return ?(i, x)\n };\n case (_) Prim.trap INTERNAL_ERROR\n }\n }\n };\n\n /// Returns an Iterator (`Iter`) over the indices (keys) of the list.\n /// The iterator provides a single method `next()` which returns indices\n /// from 0 to size-1, or `null` when out of elements.\n ///\n /// ```motoko include=import\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.empty();\n /// List.add(list, \"A\");\n /// List.add(list, \"B\");\n /// List.add(list, \"C\");\n /// Iter.toArray(List.keys(list)) // [0, 1, 2]\n /// ```\n ///\n /// Note: This does not create a snapshot. If the returned iterator is not consumed at once,\n /// and instead the consumption of the iterator is interleaved with other operations on the\n /// List, then this may lead to unexpected results.\n ///\n /// Runtime: `O(1)`\n public func keys(self : List) : Types.Iter = Nat.range(0, size(self));\n\n /// Creates a new List containing all elements from the provided iterator.\n /// Elements are added in the order they are returned by the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [1, 1, 1];\n /// let iter = array.vals();\n ///\n /// let list = List.fromIter(iter);\n /// assert Iter.toArray(List.values(list)) == [1, 1, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func fromIter(iter : Types.Iter) : List {\n let list = empty();\n for (element in iter) add(list, element);\n list\n };\n\n /// Convert an iterator to a new mutable List.\n /// Elements are added in the order they are returned by the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [1, 1, 1];\n /// let iter = array.vals();\n ///\n /// let list = iter.toList();\n /// assert Iter.toArray(List.values(list)) == [1, 1, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func toList(self : Types.Iter) : List {\n fromIter(self)\n };\n\n /// Appends all elements from `added` to the end of `list`.\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2]);\n /// let added = List.fromArray([3, 4]);\n /// List.append(list, added);\n /// assert List.toArray(list) == [1, 2, 3, 4];\n /// ```\n ///\n /// Runtime: `O(size(added))`\n ///\n /// Space: `O(size(added))`\n public func append(self : List, added : List) {\n reserve(self, size(added));\n\n let blocks = added.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) addUnsafe(self, x);\n case null return\n };\n j += 1\n };\n i += 1\n }\n };\n\n /// Adds all elements from the provided iterator to the end of the list.\n /// Elements are added in the order they are returned by the iterator.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [1, 1, 1];\n /// let iter = array.vals();\n /// let list = List.repeat(2, 1);\n ///\n /// List.addAll(list, iter);\n /// assert Iter.toArray(List.values(list)) == [2, 1, 1, 1];\n /// ```\n ///\n /// The maximum number of elements in a `List` is 2^32.\n ///\n /// Runtime: `O(size)`, where n is the size of iter.\n public func addAll(self : List, iter : Types.Iter) {\n for (element in iter) add(self, element)\n };\n\n /// Creates a new immutable array containing all elements from the list.\n /// Elements appear in the same order as in the list.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// assert List.toArray(list) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func toArray(self : List) : [T] {\n var blockIndex = 0;\n var elementIndex = 0;\n var sz = 0;\n var db : [var ?T] = [var];\n\n func generator(_ : Nat) : T {\n if (elementIndex == sz) {\n blockIndex += 1;\n db := self.blocks[blockIndex];\n sz := db.size();\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n elementIndex += 1;\n return x\n };\n case (_) Prim.trap INTERNAL_ERROR\n }\n };\n\n Array.tabulate(size(self), generator)\n };\n\n /// Creates a List containing elements from an Array.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [2, 3];\n /// let list = List.fromArray(array);\n /// assert Iter.toArray(List.values(list)) == [2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func fromArray(array : [T]) : List {\n let (blockIndex, elementIndex) = locate(array.size());\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n\n var i = 1;\n var pos = 0;\n\n while (i < blockIndex) {\n let len = dataBlockSize(i);\n dataBlocks[i] := VarArray.tabulate(len, func i = ?array[pos + i]);\n pos += len;\n i += 1\n };\n if (elementIndex != 0 and blockIndex < blocks) {\n dataBlocks[i] := VarArray.tabulate(\n dataBlockSize(i),\n func i = if (i < elementIndex) ?array[pos + i] else null\n )\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Creates a new mutable array containing all elements from the list.\n /// Elements appear in the same order as in the list.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Array \"mo:core/Array\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// let varArray = List.toVarArray(list);\n /// assert Array.fromVarArray(varArray) == [1, 2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func toVarArray(self : List) : [var T] {\n let ?fs = first(self) else return [var];\n\n let array = VarArray.repeat(fs, size(self));\n\n var index = 0;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return array;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) array[index] := x;\n case null return array\n };\n j += 1;\n index += 1\n };\n i += 1\n };\n array\n };\n\n /// Creates a new List containing all elements from the mutable array.\n /// Elements appear in the same order as in the array.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let array = [var 2, 3];\n /// let list = List.fromVarArray(array);\n /// assert Iter.toArray(List.values(list)) == [2, 3];\n /// ```\n ///\n /// Runtime: `O(size)`\n public func fromVarArray(array : [var T]) : List {\n let (blockIndex, elementIndex) = locate(array.size());\n\n let blocks = newIndexBlockLength(Nat32.fromNat(if (elementIndex == 0) { blockIndex - 1 } else blockIndex));\n let dataBlocks = VarArray.repeat<[var ?T]>([var], blocks);\n\n func makeBlock(array : [var T], p : Nat, len : Nat, fill : Nat) : [var ?T] {\n let block = VarArray.repeat(null, len);\n var j = 0;\n var pos = p;\n while (j < fill) {\n block[j] := ?array[pos];\n j += 1;\n pos += 1\n };\n block\n };\n\n var i = 1;\n var pos = 0;\n\n while (i < blockIndex) {\n let len = dataBlockSize(i);\n dataBlocks[i] := makeBlock(array, pos, len, len);\n pos += len;\n i += 1\n };\n if (elementIndex != 0) {\n dataBlocks[i] := makeBlock(array, pos, dataBlockSize(i), elementIndex)\n };\n\n {\n var blocks = dataBlocks;\n var blockIndex = blockIndex;\n var elementIndex = elementIndex\n }\n };\n\n /// Returns the first element of `list`, or `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert List.first(List.fromArray([1, 2, 3])) == ?1;\n /// assert List.first(List.empty()) == null;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func first(self : List) : ?T {\n if (self.blockIndex == 1) null else self.blocks[1][0]\n };\n\n /// Returns the last element of `list`, or `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// assert List.last(List.fromArray([1, 2, 3])) == ?3;\n /// assert List.last(List.empty()) == null;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func last(self : List) : ?T {\n let e = self.elementIndex;\n if (e > 0) return self.blocks[self.blockIndex][e - 1];\n\n let b = self.blockIndex - 1 : Nat;\n if (b == 0) null else {\n let block = self.blocks[b];\n block[block.size() - 1]\n }\n };\n\n /// Applies `f` to each element in `list`.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.forEach(list, func(x) {\n /// Debug.print(Nat.toText(x)); // prints each element in list\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEach(self : List, f : T -> ()) {\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) f(x);\n case null return\n };\n j += 1\n };\n i += 1\n }\n };\n\n /// Applies `f` to each item `(i, x)` in `list` where `i` is the key\n /// and `x` is the value.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.forEachEntry(list, func (i,x) {\n /// // prints each item (i,x) in list\n /// Debug.print(Nat.toText(i) # Nat.toText(x));\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func forEachEntry(self : List, f : (Nat, T) -> ()) {\n var index = 0;\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) f(index, x);\n case null return\n };\n j += 1;\n index += 1\n };\n i += 1\n }\n };\n\n func actualInterval(fromInclusive : Int, toExclusive : Int, size : Nat) : (Nat, Nat) {\n let startInt = if (fromInclusive < 0) {\n let s = size + fromInclusive;\n if (s < 0) { 0 } else { s }\n } else {\n if (fromInclusive > size) { size } else { fromInclusive }\n };\n let endInt = if (toExclusive < 0) {\n let e = size + toExclusive;\n if (e < 0) { 0 } else { e }\n } else {\n if (toExclusive > size) { size } else { toExclusive }\n };\n (Prim.abs(startInt), Prim.abs(endInt))\n };\n\n /// Returns an iterator over a slice of `list` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// Negative indices are relative to the end of the list. For example, `-1` corresponds to the last element in the list.\n ///\n /// If the indices are out of bounds, they are clamped to the list bounds.\n /// If the first index is greater than the second, the function returns an empty iterator.\n ///\n /// ```motoko include=import\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// let iter1 = List.range(list, 3, List.size(list));\n /// assert iter1.next() == ?4;\n /// assert iter1.next() == ?5;\n /// assert iter1.next() == null;\n ///\n /// let iter2 = List.range(list, 3, -1);\n /// assert iter2.next() == ?4;\n /// assert iter2.next() == null;\n ///\n /// let iter3 = List.range(list, 0, 0);\n /// assert iter3.next() == null;\n /// ```\n ///\n /// Runtime: O(1)\n ///\n /// Space: O(1)\n public func range(self : List, fromInclusive : Int, toExclusive : Int) : Types.Iter = object {\n let (start, end) = actualInterval(fromInclusive, toExclusive, size(self));\n let blocks = self.blocks.size();\n var blockIndex = 0;\n var elementIndex = 0;\n if (start != 0) {\n let (block, element) = locate(start - 1);\n blockIndex := block;\n elementIndex := element + 1\n };\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n var index = fromInclusive;\n\n public func next() : ?T {\n if (index >= end) return null;\n index += 1;\n\n if (elementIndex == dbSize) {\n blockIndex += 1;\n if (blockIndex >= blocks) return null;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n if (dbSize == 0) return null;\n elementIndex := 0\n };\n let ret = db[elementIndex];\n elementIndex += 1;\n ret\n }\n };\n\n func sliceToArrayBase(self : List, start : Nat) : {\n next(i : Nat) : T\n } = object {\n var blockIndex = 0;\n var elementIndex = 0;\n if (start != 0) {\n let (block, element) = locate(start - 1);\n blockIndex := block;\n elementIndex := element + 1\n };\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n\n public func next(i : Nat) : T {\n if (elementIndex == dbSize) {\n blockIndex += 1;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?x) {\n elementIndex += 1;\n return x\n };\n case null Prim.trap INTERNAL_ERROR\n }\n }\n };\n\n /// Returns a new array containing elements from `list` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// let array = List.fromArray([1, 2, 3, 4, 5]);\n ///\n /// let slice1 = List.sliceToArray(array, 1, 4);\n /// assert slice1 == [2, 3, 4];\n ///\n /// let slice2 = List.sliceToArray(array, 1, -1);\n /// assert slice2 == [2, 3, 4];\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToArray(self : List, fromInclusive : Int, toExclusive : Int) : [T] {\n let (start, end) = actualInterval(fromInclusive, toExclusive, size(self));\n Array.tabulate(end - start, sliceToArrayBase(self, start).next)\n };\n\n /// Returns a new var array containing elements from `list` starting at index `fromInclusive` up to (but not including) index `toExclusive`.\n /// If the indices are out of bounds, they are clamped to the array bounds.\n ///\n /// ```motoko include=import\n /// import VarArray \"mo:core/VarArray\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let array = List.fromArray([1, 2, 3, 4, 5]);\n ///\n /// let slice1 = List.sliceToVarArray(array, 1, 4);\n /// assert VarArray.equal(slice1, [var 2, 3, 4], Nat.equal);\n ///\n /// let slice2 = List.sliceToVarArray(array, 1, -1);\n /// assert VarArray.equal(slice2, [var 2, 3, 4], Nat.equal);\n /// ```\n ///\n /// Runtime: O(toExclusive - fromInclusive)\n ///\n /// Space: O(toExclusive - fromInclusive)\n public func sliceToVarArray(self : List, fromInclusive : Int, toExclusive : Int) : [var T] {\n let (start, end) = actualInterval(fromInclusive, toExclusive, size(self));\n VarArray.tabulate(end - start, sliceToArrayBase(self, start).next)\n };\n\n /// Like `forEachEntryRev` but iterates through the list in reverse order,\n /// from end to beginning.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.reverseForEachEntry(list, func (i,x) {\n /// // prints each item (i,x) in list\n /// Debug.print(Nat.toText(i) # Nat.toText(x));\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func reverseForEachEntry(self : List, f : (Nat, T) -> ()) {\n var index = 0;\n\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) f(index, x);\n case null Prim.trap INTERNAL_ERROR\n };\n index += 1\n };\n i -= 1\n }\n };\n\n /// Applies `f` to each element in `list` in reverse order.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Debug \"mo:core/Debug\";\n ///\n /// let list = List.fromArray([1, 2, 3]);\n ///\n /// List.reverseForEach(list, func (x) {\n /// Debug.print(Nat.toText(x)); // prints each element in list in reverse order\n /// });\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `f` runs in O(1) time and space.\n public func reverseForEach(self : List, f : T -> ()) {\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) f(x);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n }\n };\n\n /// Executes the closure over a slice of `list` starting at `fromInclusive` up to (but not including) `toExclusive`.\n ///\n /// ```motoko include=import\n /// import Debug \"mo:core/Debug\";\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// List.forEachInRange(list, func x = Debug.print(Nat.toText(x)), 1, 2); // prints 2 and 3\n /// ```\n ///\n /// Runtime: `O(toExclusive - fromExclusive)`\n ///\n /// Space: `O(1)`\n public func forEachInRange(self : List, f : T -> (), fromInclusive : Nat, toExclusive : Nat) {\n if (not (fromInclusive <= toExclusive and toExclusive <= size(self))) Prim.trap(\"Invalid range\");\n\n func traverseBlock(block : [var ?T], f : T -> (), from : Nat, to : Nat) {\n var i = from;\n while (i < to) {\n switch (block[i]) {\n case (?value) f(value);\n case null Prim.trap(INTERNAL_ERROR)\n };\n i += 1\n }\n };\n\n let (fromBlock, fromElement) = locate(fromInclusive);\n let (toBlock, toElement) = locate(toExclusive);\n\n let blocks = self.blocks;\n let sz = blocks.size();\n\n if (fromBlock == toBlock) {\n if (fromBlock < sz) traverseBlock(blocks[fromBlock], f, fromElement, toElement);\n return\n };\n\n traverseBlock(blocks[fromBlock], f, fromElement, blocks[fromBlock].size());\n\n var i = fromBlock + 1;\n let to = Nat.min(toBlock, sz);\n while (i < to) {\n traverseBlock(blocks[i], f, 0, blocks[i].size());\n i += 1\n };\n\n if (toBlock < sz) traverseBlock(blocks[toBlock], f, 0, toElement)\n };\n\n /// Returns true if the list contains the specified element according to the provided\n /// equality function. Uses the provided `equal` function to compare elements.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 2);\n /// List.add(list, 0);\n /// List.add(list, 3);\n ///\n /// assert List.contains(list, Nat.equal, 2);\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func contains(self : List, equal : (implicit : (T, T) -> Bool), element : T) : Bool {\n Option.isSome(indexOf(self, equal, element))\n };\n\n /// Returns the greatest element in the list according to the ordering defined by `compare`.\n /// Returns `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n ///\n /// assert List.max(list, Nat.compare) == ?2;\n /// assert List.max(List.empty(), Nat.compare) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func max(self : List, compare : (implicit : (T, T) -> Types.Order)) : ?T {\n var maxSoFar : T = switch (first(self)) {\n case (?x) x;\n case null return null\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return ?maxSoFar;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (compare(x, maxSoFar)) {\n case (#greater) maxSoFar := x;\n case _ {}\n };\n case null return ?maxSoFar\n };\n j += 1\n };\n i += 1\n };\n\n ?maxSoFar\n };\n\n /// Returns the least element in the list according to the ordering defined by `compare`.\n /// Returns `null` if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.empty();\n /// List.add(list, 1);\n /// List.add(list, 2);\n ///\n /// assert List.min(list, Nat.compare) == ?1;\n /// assert List.min(List.empty(), Nat.compare) == null;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func min(self : List, compare : (implicit : (T, T) -> Types.Order)) : ?T {\n var minSoFar : T = switch (first(self)) {\n case (?x) x;\n case null return null\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return ?minSoFar;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) switch (compare(x, minSoFar)) {\n case (#less) minSoFar := x;\n case _ {}\n };\n case null return ?minSoFar\n };\n j += 1\n };\n i += 1\n };\n\n ?minSoFar\n };\n\n /// Tests if two lists are equal by comparing their elements using the provided `equal` function.\n /// Returns true if and only if both lists have the same size and all corresponding elements\n /// are equal according to the provided function.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list1 = List.fromArray([1,2]);\n /// let list2 = List.empty();\n /// List.add(list2, 1);\n /// List.add(list2, 2);\n ///\n /// assert List.equal(list1, list2, Nat.equal);\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `equal` runs in O(1) time and space.\n public func equal(self : List, other : List, equal : (implicit : (T, T) -> Bool)) : Bool {\n if (size(self) != size(other)) return false;\n\n let blocks1 = self.blocks;\n let blocks2 = other.blocks;\n let blockCount = Nat.min(blocks1.size(), blocks2.size());\n\n var i = 1;\n while (i < blockCount) {\n let db1 = blocks1[i];\n let db2 = blocks2[i];\n let sz = Nat.min(db1.size(), db2.size());\n if (sz == 0) return true;\n\n var j = 0;\n while (j < sz) {\n switch (db1[j], db2[j]) {\n case (?x, ?y) if (not equal(x, y)) return false;\n case (_, _) return true\n };\n j += 1\n };\n i += 1\n };\n return true\n };\n\n /// Compares two lists lexicographically using the provided `compare` function.\n /// Elements are compared pairwise until a difference is found or one list ends.\n /// If all elements compare equal, the shorter list is considered less than the longer list.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list1 = List.fromArray([0, 1]);\n /// let list2 = List.fromArray([2]);\n /// let list3 = List.fromArray([0, 1, 2]);\n ///\n /// assert List.compare(list1, list2, Nat.compare) == #less;\n /// assert List.compare(list1, list3, Nat.compare) == #less;\n /// assert List.compare(list2, list3, Nat.compare) == #greater;\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `compare` runs in O(1) time and space.\n public func compare(self : List, other : List, compare : (implicit : (T, T) -> Types.Order)) : Types.Order {\n let blocks1 = self.blocks;\n let blocks2 = other.blocks;\n let blockCount = Nat.min(blocks1.size(), blocks2.size());\n\n var i = 1;\n label l while (i < blockCount) {\n let db1 = blocks1[i];\n let db2 = blocks2[i];\n let sz = Nat.min(db1.size(), db2.size());\n if (sz == 0) break l;\n\n var j = 0;\n while (j < sz) {\n switch (db1[j], db2[j]) {\n case (?x, ?y) switch (compare(x, y)) {\n case (#less) return #less;\n case (#greater) return #greater;\n case _ {}\n };\n case (_, _) break l\n };\n j += 1\n };\n i += 1\n };\n return Nat.compare(size(self), size(other))\n };\n\n /// Creates a textual representation of `list`, using `toText` to recursively\n /// convert the elements into Text.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1,2,3,4]);\n ///\n /// assert List.toText(list, Nat.toText) == \"List[1, 2, 3, 4]\";\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(size)`\n ///\n /// *Runtime and space assumes that `toText` runs in O(1) time and space.\n public func toText(self : List, toText : (implicit : T -> Text)) : Text {\n var text = switch (first(self)) {\n case (?x) toText(x);\n case null \"\"\n };\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 2;\n label l while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) break l;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) text #= \", \" # toText(x);\n case null break l\n };\n j += 1\n };\n i += 1\n };\n\n \"List[\" # text # \"]\"\n };\n\n /// Collapses the elements in `list` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// left to right.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// assert List.foldLeft(list, \"\", func (acc, x) { acc # Nat.toText(x)}) == \"123\";\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `combine` runs in O(1)` time and space.\n public func foldLeft(self : List, base : A, combine : (A, T) -> A) : A {\n var accumulation = base;\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return accumulation;\n\n var j = 0;\n while (j < sz) {\n switch (db[j]) {\n case (?x) accumulation := combine(accumulation, x);\n case null return accumulation\n };\n j += 1\n };\n i += 1\n };\n accumulation\n };\n\n /// Collapses the elements in `list` into a single value by starting with `base`\n /// and progessively combining elements into `base` with `combine`. Iteration runs\n /// right to left.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// assert List.foldRight(list, \"\", func (x, acc) { Nat.toText(x) # acc }) == \"123\";\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n ///\n /// *Runtime and space assumes that `combine` runs in O(1)` time and space.\n public func foldRight(self : List, base : A, combine : (T, A) -> A) : A {\n var accumulation = base;\n\n let blocks = self.blocks;\n let blockIndex = self.blockIndex;\n let elementIndex = self.elementIndex;\n\n var i = blockIndex;\n if (elementIndex == 0) i -= 1;\n\n while (i > 0) {\n let db = blocks[i];\n let sz = db.size();\n var j = if (i == blockIndex) elementIndex else sz;\n while (j > 0) {\n j -= 1;\n switch (db[j]) {\n case (?x) accumulation := combine(x, accumulation);\n case null Prim.trap INTERNAL_ERROR\n }\n };\n i -= 1\n };\n\n accumulation\n };\n\n /// Reverses the order of elements in `list` by overwriting in place.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// List.reverseInPlace(list);\n /// assert Iter.toArray(List.values(list)) == [3, 2, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func reverseInPlace(self : List) {\n let vsize = size(self);\n if (vsize <= 1) return;\n\n let (finalBlock, finalElement) = locate(vsize / 2);\n\n let blocks = self.blocks;\n\n var blockIndexBack = self.blockIndex;\n var elementIndexBack = self.elementIndex;\n var dbBack : [var ?T] = if (blockIndexBack < self.blocks.size()) {\n self.blocks[blockIndexBack]\n } else { [var] };\n\n var i = 1;\n var index = 0;\n while (i <= finalBlock) {\n let db = blocks[i];\n let sz = if (i == finalBlock) finalElement else db.size();\n\n var j = 0;\n while (j < sz) {\n if (elementIndexBack == 0) {\n blockIndexBack -= 1;\n dbBack := self.blocks[blockIndexBack];\n elementIndexBack := dbBack.size() - 1\n } else {\n elementIndexBack -= 1\n };\n\n let temp = db[j];\n db[j] := dbBack[elementIndexBack];\n dbBack[elementIndexBack] := temp;\n\n j += 1;\n index += 1\n };\n i += 1\n }\n };\n\n /// Returns a new List with the elements from `list` in reverse order.\n ///\n /// Example:\n /// ```motoko include=import\n /// import Nat \"mo:core/Nat\";\n /// import Iter \"mo:core/Iter\";\n ///\n /// let list = List.fromArray([1,2,3]);\n ///\n /// let rlist = List.reverse(list);\n /// assert Iter.toArray(List.values(rlist)) == [3, 2, 1];\n /// ```\n ///\n /// Runtime: `O(size)`\n ///\n /// Space: `O(1)`\n public func reverse(self : List) : List {\n let rlist = repeatInternal(null, size(self));\n\n let blocks = self.blocks;\n let blockCount = blocks.size();\n\n var blockIndexBack = rlist.blockIndex;\n var elementIndexBack = rlist.elementIndex;\n var dbBack : [var ?T] = if (blockIndexBack < rlist.blocks.size()) {\n rlist.blocks[blockIndexBack]\n } else { [var] };\n\n var i = 1;\n while (i < blockCount) {\n let db = blocks[i];\n let sz = db.size();\n if (sz == 0) return rlist;\n\n var j = 0;\n while (j < sz) {\n if (elementIndexBack == 0) {\n blockIndexBack -= 1;\n if (blockIndexBack == 0) return rlist;\n dbBack := rlist.blocks[blockIndexBack];\n elementIndexBack := dbBack.size() - 1\n } else {\n elementIndexBack -= 1\n };\n\n dbBack[elementIndexBack] := db[j];\n j += 1\n };\n i += 1\n };\n rlist\n };\n\n /// Returns true if and only if the list is empty.\n ///\n /// Example:\n /// ```motoko include=import\n /// let list = List.fromArray([2,0,3]);\n /// assert not List.isEmpty(list);\n /// assert List.isEmpty(List.empty());\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func isEmpty(self : List) : Bool {\n self.blockIndex == 1\n };\n\n /// Unsafe iterator starting from `start`.\n ///\n /// Example:\n /// ```\n /// let list = List.fromArray([1, 2, 3, 4, 5]);\n /// let reader = List.reader(list, 2);\n /// assert reader() == 3;\n /// assert reader() == 4;\n /// assert reader() == 5;\n /// ```\n ///\n /// Runtime: `O(1)`\n ///\n /// Space: `O(1)`\n public func reader(self : List, start : Nat) : () -> T {\n var blockIndex = 0;\n var elementIndex = 0;\n if (start != 0) {\n let (block, element) = locate(start - 1);\n blockIndex := block;\n elementIndex := element + 1\n };\n var db : [var ?T] = self.blocks[blockIndex];\n var dbSize = db.size();\n func next() : T {\n // Note: next() traps when reading beyond end of list\n if (elementIndex == dbSize) {\n blockIndex += 1;\n db := self.blocks[blockIndex];\n dbSize := db.size();\n elementIndex := 0\n };\n switch (db[elementIndex]) {\n case (?ret) {\n elementIndex += 1;\n return ret\n };\n case (_) Prim.trap(\"List.reader(): out of bounds\")\n }\n };\n next\n };\n\n}\n"},"Order.mo":{"content":"/// Utilities for `Order` (comparison between two values).\n\nimport Types \"Types\";\n\nmodule {\n\n /// A type to represent an order.\n public type Order = Types.Order;\n\n /// Check if an order is #less.\n public func isLess(self : Order) : Bool {\n switch self {\n case (#less) { true };\n case _ { false }\n }\n };\n\n /// Check if an order is #equal.\n public func isEqual(self : Order) : Bool {\n switch self {\n case (#equal) { true };\n case _ { false }\n }\n };\n\n /// Check if an order is #greater.\n public func isGreater(self : Order) : Bool {\n switch self {\n case (#greater) { true };\n case _ { false }\n }\n };\n\n /// Returns true if only if `order1` and `order2` are the same.\n public func equal(self : Order, other : Order) : Bool {\n switch (self, other) {\n case (#less, #less) { true };\n case (#equal, #equal) { true };\n case (#greater, #greater) { true };\n case _ { false }\n }\n };\n\n /// Returns an iterator that yields all possible `Order` values:\n /// `#less`, `#equal`, `#greater`.\n public func allValues() : Types.Iter {\n var nextState : ?Order = ?#less;\n {\n next = func() : ?Order {\n let state = nextState;\n switch state {\n case (?#less) { nextState := ?#equal };\n case (?#equal) { nextState := ?#greater };\n case (?#greater) { nextState := null };\n case (null) {}\n };\n state\n }\n }\n }\n\n}\n"},"internal/BTreeHelper.mo":{"content":"// Implementation is courtesy of Byron Becker.\n// Source: https://github.com/canscale/StableHeapBTreeMap\n// Copyright (c) 2022 Byron Becker.\n// Distributed under Apache 2.0 license.\n// With adjustments by the Motoko team.\n\nimport VarArray \"../VarArray\";\nimport Runtime \"../Runtime\";\n\nmodule {\n /// Inserts an element into a mutable array at a specific index, shifting all other elements over\n ///\n /// Parameters:\n ///\n /// array - the array being inserted into\n /// insertElement - the element being inserted\n /// insertIndex - the index at which the element will be inserted\n /// currentLastElementIndex - the index of last **non-null** element in the array (used to start shifting elements over)\n ///\n /// Note: This assumes that there are nulls at the end of the array and that the array is not full.\n /// If the array is already full, this function will overflow the array size when attempting to\n /// insert and will cause the cansiter to trap\n public func insertAtPosition(array : [var ?T], insertElement : ?T, insertIndex : Nat, currentLastElementIndex : Nat) {\n // if inserting at the end of the array, don't need to do any shifting and can just insert and return\n if (insertIndex == currentLastElementIndex + 1) {\n array[insertIndex] := insertElement;\n return\n };\n\n // otherwise, need to shift all of the elements at the end of the array over one by one until\n // the insert index is hit.\n var j = currentLastElementIndex;\n label l loop {\n array[j + 1] := array[j];\n if (j == insertIndex) {\n array[j] := insertElement;\n break l\n };\n\n j -= 1\n }\n };\n\n /// Splits the array into two halves as if the insert has occured, omitting the middle element and returning it so that it can\n /// be promoted to the parent internal node. This is used when inserting an element into an array of elements that\n /// is already full.\n ///\n /// Note: Use only when inserting an element into a FULL array & promoting the resulting midpoint element.\n /// This is NOT the same as just splitting this array!\n ///\n /// Parameters:\n ///\n /// array - the array being split\n /// insertElement - the element being inserted\n /// insertIndex - the position/index that the insertElement should be inserted\n public func insertOneAtIndexAndSplitArray(array : [var ?T], insertElement : T, insertIndex : Nat) : ([var ?T], T, [var ?T]) {\n // split at the BTree order / 2\n let splitIndex = (array.size() + 1) / 2;\n // this function assumes the the splitIndex is in the middle of the kvs array - trap otherwise\n if (splitIndex > array.size()) { assert false };\n\n let leftSplit = if (insertIndex < splitIndex) {\n VarArray.tabulate(\n array.size(),\n func(i) {\n // if below the split index\n if (i < splitIndex) {\n // if below the insert index, copy over\n if (i < insertIndex) { array[i] }\n // if less than the insert index, copy over the previous element (since the inserted element has taken up 1 extra slot)\n else if (i > insertIndex) { array[i - 1] }\n // if equal to the insert index add the element to be inserted to the left split\n else { ?insertElement }\n } else { null }\n }\n )\n }\n // index >= splitIndex\n else {\n VarArray.tabulate(\n array.size(),\n func(i) {\n // right biased splitting\n if (i < splitIndex) { array[i] } else { null }\n }\n )\n };\n\n let (rightSplit, middleElement) : ([var ?T], ?T) =\n // if insert > split index, inserted element will be inserted into the right split\n if (insertIndex > splitIndex) {\n let right = VarArray.tabulate(\n array.size(),\n func(i) {\n let adjIndex = i + splitIndex + 1; // + 1 accounts for the fact that the split element was part of the original array\n if (adjIndex <= array.size()) {\n if (adjIndex < insertIndex) { array[adjIndex] } else if (adjIndex > insertIndex) {\n array[adjIndex - 1]\n } else { ?insertElement }\n } else { null }\n }\n );\n (right, array[splitIndex])\n }\n // if inserted element was placed in the left split\n else if (insertIndex < splitIndex) {\n let right = VarArray.tabulate(\n array.size(),\n func(i) {\n let adjIndex = i + splitIndex;\n if (adjIndex < array.size()) { array[adjIndex] } else { null }\n }\n );\n (right, array[splitIndex - 1])\n }\n // insertIndex == splitIndex\n else {\n let right = VarArray.tabulate(\n array.size(),\n func(i) {\n let adjIndex = i + splitIndex;\n if (adjIndex < array.size()) { array[adjIndex] } else { null }\n }\n );\n (right, ?insertElement)\n };\n\n switch (middleElement) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: insertOneAtIndexAndSplitArray, middle element of a BTree node should never be null\")\n };\n case (?el) { (leftSplit, el, rightSplit) }\n }\n };\n\n /// Context of use: This function is used after inserting a child node into the full child of an internal node that is also full.\n /// From the insertion, the full child is rebalanced and split, and then since the internal node is full, when replacing the two\n /// halves of that rebalanced child into the internal node's children this causes a second split. This function takes in the\n /// internal node's children, and the \"rebalanced\" split child nodes, as well as the index at which the \"rebalanced\" left and right\n /// child will be inserted and replaces the original child with those two halves\n ///\n /// Note: Use when inserting two successive elements into a FULL array and splitting that array.\n /// This is NOT the same as just splitting this array!\n ///\n /// Assumptions: this function also assumes that the children array is full (no nulls)\n ///\n /// Parameters:\n ///\n /// children - the internal node's children array being split\n /// rebalancedChildIndex - the index used to mark where the rebalanced left and right children will be inserted\n /// leftChildInsert - the rebalanced left child being inserted\n /// rightChildInsert - the rebalanced right child being inserted\n public func splitArrayAndInsertTwo(children : [var ?T], rebalancedChildIndex : Nat, leftChildInsert : T, rightChildInsert : T) : ([var ?T], [var ?T]) {\n let splitIndex = children.size() / 2;\n\n let leftRebalancedChildren = VarArray.tabulate(\n children.size(),\n func(i) {\n // only insert elements up to the split index and fill the rest of the children with nulls\n if (i <= splitIndex) {\n if (i < rebalancedChildIndex) { children[i] }\n // insert the left and right rebalanced child halves if the rebalancedChildIndex comes before the splitIndex\n else if (i == rebalancedChildIndex) {\n ?leftChildInsert\n } else if (i == rebalancedChildIndex + 1) { ?rightChildInsert } else {\n children[i - 1]\n } // i > rebalancedChildIndex\n } else { null }\n }\n );\n\n let rightRebalanceChildren : [var ?T] =\n // Case 1: if both left and right rebalanced halves were inserted into the left child can just go from the split index onwards\n if (rebalancedChildIndex + 1 <= splitIndex) {\n VarArray.tabulate(\n children.size(),\n func(i) {\n let adjIndex = i + splitIndex;\n if (adjIndex < children.size()) { children[adjIndex] } else { null }\n }\n )\n }\n // Case 2: if both left and right rebalanced halves will be inserted into the right child\n else if (rebalancedChildIndex > splitIndex) {\n var rebalanceOffset = 0;\n VarArray.tabulate(\n children.size(),\n func(i) {\n let adjIndex = i + splitIndex + 1;\n if (adjIndex == rebalancedChildIndex) { ?leftChildInsert } else if (adjIndex == rebalancedChildIndex + 1) {\n rebalanceOffset := 1; // after inserting both rebalanced children, any elements coming after are from the previous index\n ?rightChildInsert\n } else if (adjIndex <= children.size()) {\n children[adjIndex - rebalanceOffset]\n } else { null }\n }\n )\n }\n // Case 3: if left rebalanced half was in left child, and right rebalanced half will be in right child\n // rebalancedChildIndex == splitIndex\n else {\n VarArray.tabulate(\n children.size(),\n func(i) {\n // first element is the right rebalanced half\n if (i == 0) { ?rightChildInsert } else {\n let adjIndex = i + splitIndex;\n if (adjIndex < children.size()) { children[adjIndex] } else {\n null\n }\n }\n }\n )\n };\n\n (leftRebalancedChildren, rightRebalanceChildren)\n };\n\n /// Specific to the BTree delete implementation (assumes node ordering such that nulls come at the end of the array)\n ///\n /// Assumptions:\n /// * All nulls come at the end of the array\n /// * Assumes the delete index provided is correct and non null - will trap otherwise\n /// * deleteIndex < array.size()\n ///\n /// Deletes an element from the the array, and then shifts all non-null elements coming after that deleted element by 1\n /// to the left. Returns the element that was deleted.\n public func deleteAndShift(array : [var ?T], deleteIndex : Nat) : T {\n var deleted : T = switch (array[deleteIndex]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: deleteAndShift, an invalid/incorrect delete index was passed\")\n };\n case (?el) { el }\n };\n\n array[deleteIndex] := null;\n\n var i = deleteIndex + 1;\n label l loop {\n if (i >= array.size()) { break l };\n\n switch (array[i]) {\n case null { break l };\n case (?_) {\n array[i - 1] := array[i]\n }\n };\n\n i += 1\n };\n\n array[i - 1] := null;\n\n deleted\n };\n\n // replaces two successive elements in the array with a single element and shifts all other elements to the left by 1\n public func replaceTwoWithElementAndShift(array : [var ?T], element : T, replaceIndex : Nat) {\n array[replaceIndex] := ?element;\n\n var i = replaceIndex + 1;\n let endShiftIndex : Nat = array.size() - 1;\n while (i < endShiftIndex) {\n switch (array[i]) {\n case (?_) { array[i] := array[i + 1] };\n case null { return }\n };\n\n i += 1\n };\n\n array[endShiftIndex] := null\n };\n\n /// BTree specific implementation\n ///\n /// In a single iteration insert at one position of the array while deleting at another position of the array, shifting all\n /// elements as appropriate\n ///\n /// This is used when borrowing an element from an inorder predecessor/successor through the parent node\n public func insertAtPostionAndDeleteAtPosition(array : [var ?T], insertElement : ?T, insertIndex : Nat, deleteIndex : Nat) : T {\n var deleted : T = switch (array[deleteIndex]) {\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: insertAtPositionAndDeleteAtPosition, and incorrect delete index was passed\")\n }; // indicated an incorrect delete index was passed - trap\n case (?el) { el }\n };\n\n // Example of this case:\n //\n // Insert Delete\n // V V\n //[var ?10, ?20, ?30, ?40, ?50]\n if (insertIndex < deleteIndex) {\n var i = deleteIndex;\n while (i > insertIndex) {\n array[i] := array[i - 1];\n i -= 1\n };\n\n array[insertIndex] := insertElement\n }\n // Example of this case:\n //\n // Delete Insert\n // V V\n //[var ?10, ?20, ?30, ?40, ?50]\n else if (insertIndex > deleteIndex) {\n array[deleteIndex] := null;\n var i = deleteIndex + 1;\n label l loop {\n if (i >= array.size()) { assert false; break l }; // TODO: remove? this should not happen since the insertIndex should get hit first?\n\n if (i == insertIndex) {\n array[i - 1] := array[i];\n array[i] := insertElement;\n break l\n } else {\n array[i - 1] := array[i]\n };\n\n i += 1\n };\n\n }\n // insertIndex == deleteIndex, can just do a swap\n else { array[deleteIndex] := insertElement };\n\n deleted\n };\n\n // which child the deletionIndex is referring to\n public type DeletionSide = { #left; #right };\n\n // merges a middle (parent) element with the left and right child arrays while deleting the element from the correct child by the deleteIndex passed\n public func mergeParentWithChildrenAndDelete(\n parentElement : ?T,\n childCount : Nat,\n leftChild : [var ?T],\n rightChild : [var ?T],\n deleteIndex : Nat,\n deletionSide : DeletionSide\n ) : ([var ?T], T) {\n let mergedArray = VarArray.repeat(null, leftChild.size());\n var i = 0;\n switch (deletionSide) {\n case (#left) {\n // BTree implementation expects the deleted element to exist - if null, traps\n let deletedElement = switch (leftChild[deleteIndex]) {\n case (?el) { el };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: mergeParentWithChildrenAndDelete, an invalid delete index was passed\")\n }\n };\n\n // copy over left child until deleted element is hit, then copy all elements after the deleted element\n while (i < childCount) {\n if (i < deleteIndex) {\n mergedArray[i] := leftChild[i]\n } else {\n mergedArray[i] := leftChild[i + 1]\n };\n i += 1\n };\n\n // insert parent kv in the middle\n mergedArray[childCount - 1] := parentElement;\n\n // copy over the rest of the right child elements\n while (i < childCount * 2) {\n mergedArray[i] := rightChild[i - childCount];\n i += 1\n };\n\n (mergedArray, deletedElement)\n };\n case (#right) {\n // BTree implementation expects the deleted element to exist - if null, traps\n let deletedElement = switch (rightChild[deleteIndex]) {\n case (?el) { el };\n case null {\n Runtime.trap(\"UNREACHABLE_ERROR: file a bug report! In internal/BTreeHelper: mergeParentWithChildrenAndDelete: element at deleted index must exist\")\n }\n };\n // since deletion side is #right, can safely copy over all elements from the left child\n while (i < childCount) {\n mergedArray[i] := leftChild[i];\n i += 1\n };\n\n // insert parent kv in the middle\n mergedArray[childCount] := parentElement;\n i += 1;\n\n var j = 0;\n // copy over right child until deleted element is hit, then copy elements after the deleted element\n while (i < childCount * 2) {\n if (j < deleteIndex) {\n mergedArray[i] := rightChild[j]\n } else {\n mergedArray[i] := rightChild[j + 1]\n };\n i += 1;\n j += 1\n };\n\n (mergedArray, deletedElement)\n }\n }\n };\n\n}\n"}}} \ No newline at end of file diff --git a/versions/latest/moc.min.js b/versions/latest/moc.min.js index 1191767..ba67c92 100644 --- a/versions/latest/moc.min.js +++ b/versions/latest/moc.min.js @@ -1 +1 @@ -!function(r){function n(){var n=this||self;n.globalThis=n,delete r.prototype._T_}"object"!=typeof globalThis&&(this?n():(r.defineProperty(r.prototype,"_T_",{configurable:!0,get:n}),_T_))}(Object),function(r){"use strict";var n="object"==typeof module&&module.exports||r,t="could not perform ",e="Could not find %s\n",u="",a="canister_update ",f="misplaced stability modifier: allowed on var or simple let declarations only",i="opt_project",c="clos",o="offset",v="rts_max_live_size",A="failed to determine type for type pattern field",s="msg_reply_data_append",b="%a",l="put",B="obj_idx_ind<%d>",j="while",k="field also present in base, here (consider overwriting)",p="rts_stable_memory_size",d=787,m="mo_frontend/bi_match.ml",_=338,h='" not defined',x="graph_stabilization_increment",y="box64",w="a shared function is only allowed as a public field of an actor",g="rich",q="Out_of_memory",I="__run_post_upgrade",E="@@value_numerator",D=463,$="this actor or actor class should be declared `persistent`",T="tag",N="Failure",F="acc",U="cannot get self-actor-reference when running locally",G="text_iter",P="canister_subnet",K=1348,O="UnboxedFloat64",M="closure",R="SwitchE",V=837731904,L="false",H=1e9,Q="performance_counter",C="word",S="actor field ",Z="done",z="Value.compare",X=-211555818,J="ignored argument of `async*` type has no effect",W="actorOfPrincipal",Y="msg_arg_data_size",rr="anon_async",nr="src/sexp_conv.ml",tr="B+sub",er="classical",ur="Match_failure",ar="regionLoadInt64",fr="text_size",ir="M0017",cr="TupP",or="None",vr="M0057",Ar=460,sr="object",br="regionLoadInt32",lr=438,Br="@deserialize_go<",jr="EEXIST",kr="region_load_float64",pr="__stablemem_%sread_%s",dr="overwrite field to resolve error",mr="moc_stabilization_instruction_limit",_r="ParT",hr=224,xr="%.16g",yr=411,wr="conv_Char_Text",gr="guarded_",qr=192,Ir="expected function type, but expression produces type\n %s",Er="abs",Dr="IDL error: unexpected function reference",$r="arithmetic overflow",Tr="asin",Nr=": No such file or directory",Fr="obj_idx<%d>",Ur="!",Gr="EPFNOSUPPORT",Pr="callbackTableCount",Kr="principal",Or=7950,Mr=")\n",Rr="bitwidth_mask_of_type",Vr="A",Lr="stream_write",Hr="M0243",Qr="__persistence_version",Cr="stable64_write",Sr="note: ",Zr="this declaration is currently implicitly transient, please declare it explicitly `transient`",zr="totalAllocation",Xr="",Jr="has_stable_actor",Wr=":",Yr="",rn=7983,nn="T",tn="weak_get",en="Printexc.handle_uncaught_exception",un="reply_with_data",an=8040,fn="cannot perform ",cn=937,on="start_graph_stabilization",vn="settings",An="in_replicated_execution",sn="actors cannot serve as bases in record extensions",bn=222,ln="negative power",Bn="amount",jn="this pattern will always match, so the else clause is useless. Consider removing the else clause",kn=65535,pn="fasin",dn="prelude",mn="heapSize",_n="Weak references are not supported in classical mode.",hn="Range overflow",xn="alloc_blob",yn="$lambda",wn="continue outside of loop",gn="_tuple",qn="Text.compare_eq",In=1058,En=-2147483648,Dn="List.nth",$n="compare: functional value",Tn="stableMemoryStoreInt64",Nn="@;<0 0>",Fn="redundant type instantiation",Un=1e3,Gn="get_maintyps_ptr",Pn="Primary",Kn="Nat64Lit",On="cannot burn cycles when running locally",Mn=370,Rn="decode_principal",Vn="len",Ln="Pre",Hn=" : ",Qn="M0211",Cn="service constructor not supported",Sn="shared",Zn="mo:",zn="cost_create_canister",Xn="nan:0x",Jn="unvisited mutable data in serialize_go (Region)",Wn="unbound label ",Yn="OCAMLRUNPARAM",rt="ENOPROTOOPT",nt="serialization overflow",tt=7978,et="ENXIO",ut="read_",at="AndT",ft="low_memory_exp",it="Unsupported persistence version. Use newer Motoko compiler version.",ct="popcntInt8",ot="Ill-typed intermediate code after ",vt="ftan",At="moc_stable_mem_set_size",st="M0222",bt="generational",lt="the type %a\n is not compatible with type %a%s",Bt="cannot infer type of variable",jt="as_tup",kt="bigint_eq",pt="bad import: imported actor class cannot be anonymous",dt="canister_status",mt="EFAULT",_t="dst",ht="type:",xt="mixin",yt="__candid_data_length",wt="content",gt="msg_arg_data_copy",qt="OptP",It="Stable memory error: Aliased at wrong type, expected: ",Et="AssertE",Dt=309,$t="fsqrt",Tt="stableMemoryLoadNat64",Nt="get",Ft=" has cyclic bounds ",Ut="@motoko_async_destabilization",Gt="serialize_go: unexpected variant",Pt=493,Kt="M0210",Ot="region_load_word64",Mt="switch_in",Rt="c",Vt="ESPIPE",Lt="bigint_div",Ht="\n scope ",Qt="AwaitE?",Ct=144,St="postupgrade",Zt=" or ",zt=275,Xt="bigint_le",Jt="lib/core/index.ml",Wt="Shared",Yt="InInit",re="@ ",ne="keep_memory_reserve",te="log",ee="Invalid stack rep join (%s, %s)\n",ue="this pattern is never matched",ae="flexible",fe="compile_start_func: Cannot compile library",ie="BinE",ce="ObjE",oe="self call",ve="if_can_tag_i32",Ae="load_stable_actor",se=8042,be=-48,le="char_is_uppercase",Be="set of bindings differ for alternative pattern",je="compile_unop",ke="__stablemem_",pe="Int->Int64",de="cost_http_request",me="misplaced await",_e=16777215,he=" argument",xe=400,ye="stableMemoryStoreFloat",we="EPROTONOSUPPORT",ge="lowering/desugar.ml",qe="lib/lib.ml",Ie="bigint_leb128_encode",Ee="Array.unsafe_idx",De="fatan2",$e=300,Te="env_var",Ne="__stablememory_store_word8",Fe="/",Ue="ir_def/construct.ml",Ge="not a self-call",Pe="CharLit",Ke="cycles_burn128",Oe=3654863,Me="__frame_pointer",Re="env_var_names",Ve=1067124520,Le="start",He=16777211,Qe="@@type_bias",Ce="M0194",Se="region_store_float64",Ze="M0167",ze="AsyncE*",Xe="explode_Nat16",Je="ic0_stable64_size",We="reserved",Ye="__heap_base",ru="root_key_size",nu="B_lt",tu="NotOp",eu="debug_show",uu="not a self-call or call from controller",au="payload_size",fu="cycle_burn",iu=988,cu="Async",ou="#%s",vu="tup_scrut",Au="Expect fixed sized table in first module",su="async expressions are not supported",bu="info",lu="type:%a",Bu="unexpected ",ju="name_len",ku=197,pu=7944,du=7946,mu="shared function has non-shared parameter type%a",_u="show is not defined for operand type",hu=129,xu="mo_frontend/menhir_error_reporting.ml",yu="__stablemem_size",wu="rts_reclaimed",gu="ENAMETOOLONG",qu="shared functions are not supported",Iu="variable ",Eu="ESOCKTNOSUPPORT",Du="r",$u="prim",Tu="blob_copy_%s_%s",Nu="bigint_ge",Fu="WPowOp",Uu="ELOOP",Gu="B_rsh",Pu="parsing",Ku="expected function type, but expression produces type\n ",Ou="var",Mu="text_to_buf",Ru="M0077",Vu="M0142",Lu="i",Hu=244,Qu="service",Cu="\n because ",Su="<= %s",Zu="{}",zu="len1",Xu="@reset_refund",Ju="+",Wu=147,Yu="regionStoreInt32",ra="oneway function has non-unit return type",na="Actor",ta="btstInt32",ea="wpow_nat",ua="AllocHow.disjoint_union: %s",aa=3455931,fa="DotE",ia=125,ca="Blob index out of bounds",oa="canister_post_upgrade",va=" than expected",Aa="",sa="explode_Nat64",ba="k",la="meth_pair",Ba="implicit",ja="res",ka=487,pa=1333,da="M0146",ma="init_region",_a="buffer_size called on value of type None",ha=454,xa="else",ya="unclosed text literal",wa="M0212",ga="EDEADLK",qa="btst32",Ia="ObjBlockE",Ea="Obj.extension_constructor",Da="Local",$a="DotH",Ta="fmod",Na="WMulOp",Fa="error_code",Ua=1054,Ga="rtsVersion",Pa="M0169",Ka="",Oa="_start",Ma="@[<1>weak %a@]",Ra="Replies",Va="ic0",La="redundant empty parenthetical note",Ha="cannot get arg_data when running locally",Qa="e",Ca="wasm-exts/customModuleEncode.ml",Sa="mo_values/operator.ml",Za="duplicate variable definition in block",za="{",Xa="Array",Ja="bigint_sleb128_decode_word64",Wa="Int->",Ya="",rf=" when running locally",nf="post_upgrade",tf="M0005",ef="RelE",uf="stableMemoryLoadBlob",af="region_load_word8",ff=158,cf="cycle_available",of="sort mismatch",vf="__typtbl_idltyps",Af="write_with_barrier",sf="send capability required, but not available\n (need an enclosing async expression or function body)",bf="text_compare",lf="flog",Bf="cannot infer type of wildcard",jf="trans_state",kf="@@typtbl_size",pf=-976970511,df="stableMemoryLoadNat8",mf="arrayToBlob",_f="ProjE",hf="initialize_static_variables",xf="code",yf=439,wf="subnet_self_copy",gf="tuple pattern has %i components but expected type has %i",qf="ShiftLOp",If=171,Ef=8047,Df=-97,$f="EINVAL",Tf="io_vec",Nf="ctz64",Ff="Text.compare_gt",Uf="@cleanup",Gf="function",Pf="__stablememory_grow",Kf=150,Of="M0118",Mf="M0237",Rf="get_static_variable",Vf="shared query function must have syntactic return type 'async '",Lf="transient",Hf="Nat",Qf=407,Cf="([^/]+)",Sf="Secondary",Zf=394,zf="AssignE",Xf="Object",Jf="canister_heartbeat",Wf="an integer",Yf="\0\0\0\0\0\0ÿÿÿÿÿÿÿÿÿ\0\0\0\0\0\0\0\0\0\0\0\0\0\0",ri="data_start",ni="schedule",ti="timer_exp",ei="tan",ui="\ndoes not match expected type",ai="Float32->Text",fi="subnet_self_size",ii="bigint_neg",ci=" ",oi="failed",vi="ic0_stable64_write",Ai=">_tag<",si="illegal escape",bi="Reader",li="actor class configuration unsupported in interpreter",Bi="cannot infer type of primitive",ji="save_stable_actor",ki="cannot compute intersection of types containing recursive or forward references to other type definitions",pi="IDL error: unexpected variant tag",di=387,mi="__mutator_instructions",_i="bigint_trap",hi="priority",xi="opt_inject",yi="M0215",wi=277,gi=201,qi="canister_reject",Ii="ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ\0\0\0\0\0\0\0\0",Ei="continuation_count",Di="Not_found",$i=230,Ti=-798940232,Ni="__idl_types_length",Fi=437082891,Ui="ensured",Gi="add",Pi="M0200",Ki="cannot get system time when running locally",Oi="cycles out of bounds",Mi="cast",Ri="Text.compare_lt",Vi=254,Li="remember_continuation",Hi="empty",Qi="__stablemem_guard_range",Ci="wasm-exts/customModuleDecode.ml",Si="label",Zi="could not perform oneway",zi="value %s does not match pattern",Xi="mo_frontend/coverage.ml",Ji="ENOBUFS",Wi="misplaced %s",Yi="%s<%s>",rc="btst16",nc="IDL error: blob not a vector of nat8",tc=", ",ec="illegal T.Pre type",uc=133,ac="UnboxedFloat32",fc="import",ic="`system` capability required, but not available\n (need an enclosing async expression or function body or explicit `system` type parameter)",cc='compile_const_exp/VarE: "',oc="",vc="%.17g",Ac="curve",sc="EDOM",bc="@prim",lc="get_total_allocations",Bc="stream_stable_dest",jc="bigint_sleb128_size",kc=330,pc="ffloor",dc="B_le",mc="type parameters",_c=167,hc="region_init",xc=-872313182,yc="\nright operand is",wc="convertee",gc="EAFNOSUPPORT",qc=7948,Ic="regionStoreNat32",Ec="__wasm_apply_data_relocs",Dc=126,$c="TODO: ",Tc="int64_of_big_int",Nc="IDL error: incompatible actor type",Fc=" : flags Open_text and Open_binary are not compatible",Uc=" <: ",Gc="include",Pc=": Not a directory",Kc="canister_composite_query ",Oc="human",Mc="contains_field",Rc="idl_sub_buf_words",Vc="error",Lc=165,Hc="sleb128_decode",Qc="name",Cc="btst8",Sc="ir_passes/await.ml",Zc="StableMemory range out of bounds",zc="ir_passes/async.ml",Xc=" but got ",Jc="BlobLit",Wc="expected object type, but expression produces type%a",Yc="num_wrap",ro="Win32",no="ERANGE",to="__upgrade_instructions",eo=252,uo="bigint_add",ao="@reject_callback",fo="-",io=": file descriptor already closed",co="var_scrut",oo="as_ptr_size",vo="bigint_leb128_stream_encode",Ao="@@global_typtbl_end",so="InPostUpgrade",bo="ctz8",lo="cannot get environment variable names when running locally",Bo="text_lowercase",jo=" of type ",ko="@ret",po="M0089",mo="bigint_of_word64",_o="mo_values/show.ml",ho="remote call",xo="Candid limit denominator cannot be zero",yo="type field also present in base, here",wo='"',go="system",qo="non-actor class cannot take a context pattern",Io=242899572,Eo=105,Do="canister_on_low_wasm_memory",$o="Arr.ofBlobMut",To="obj_idx_ind<",No="ic0_stable64_read",Fo="__stablemem_%swrite_%s",Uo="fd_write",Go="__motoko_stable_var_info",Po=12582912,Ko="to_var_type: Unreachable",Oo="blob_iter_next",Mo="parse_idl_header",Ro="rts_in_upgrade",Vo="NullLit",Lo="ETIMEDOUT",Ho="ObjT",Qo="cannot import canister urls without --actor-idl param",Co="variant pattern cannot consume expected type",So="compile_const_dec: Unexpected VarD/RefD",Zo="atan",zo="M0145",Xo="bigint_of_float64",Jo="fnearest",Wo="WSubOp",Yo="@;<0 -2>",rv="canister_global_timer",nv=148,tv=1000000009,ev="operator may trap for inferred type",uv="no type can be inferred for actor reference",av="__stablememory_store_word16",fv="value_len",iv=1266,cv="(%s%s)",ov="__typtbl_size",vv="text_singleton",Av="cannot get cycles refunded when running locally",sv='/*\nThe primitive definitions.\n\nThis module should contain everything that cannot be implemented in plain\nMotoko. It is available via `import Prim "mo:⛔"`. Normal user code would\nusually not import that module directly, but through `base`, which takes\ncare of providing a proper module structure, e.g. exposing `Array_tabulate`\nthrough `Array.tabulate`.\n\nTherefore, the prim module does not need to provide a stable interface, as its\nonly supported consumer is the `base` library, and that is bundled with the\ncompiler.\n\nNevertheless, it shoud be _safe_ to import prim, i.e. the definitions here\nshould not break type safety or other guarantees of the language.\n*/\n\nmodule Types = {\n public type Any = prim "Any";\n public type None = prim "None";\n public type Null = prim "Null";\n public type Bool = prim "Bool";\n public type Nat = prim "Nat";\n public type Nat8 = prim "Nat8";\n public type Nat16 = prim "Nat16";\n public type Nat32 = prim "Nat32";\n public type Nat64 = prim "Nat64";\n public type Int = prim "Int";\n public type Int8 = prim "Int8";\n public type Int16 = prim "Int16";\n public type Int32 = prim "Int32";\n public type Int64 = prim "Int64";\n public type Float = prim "Float";\n public type Float32 = prim "Float32";\n public type Char = prim "Char";\n public type Text = prim "Text";\n public type Blob = prim "Blob";\n public type Error = prim "Error";\n public type Principal = prim "Principal";\n public type Region = prim "Region";\n};\n\nfunc abs(x : Int) : Nat { (prim "abs" : Int -> Nat) x };\nfunc shiftLeft(x : Nat, shift : Nat32) : Nat {\n (prim "lsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\nfunc shiftRight(x : Nat, shift : Nat32) : Nat {\n (prim "rsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\n\n// for testing\nfunc idlHash(x : Text) : Nat32 { (prim "idlHash" : Text -> Nat32) x };\n\n// Printing\n\nfunc debugPrint(x : Text) { (prim "print" : Text -> ()) x };\nfunc debugPrintNat(x : Nat) { debugPrint(@text_of_Nat x) };\nfunc debugPrintInt(x : Int) { debugPrint(@text_of_Int x) };\nfunc debugPrintChar(x : Char) { debugPrint(charToText x) };\n\n// Trapping\n\nfunc trap(x : Text) : None { (prim "trap" : Text -> None) x };\n\n// RTS stats\n\nfunc rts_version() : Text { (prim "rts_version" : () -> Text)() };\nfunc rts_memory_size() : Nat { (prim "rts_memory_size" : () -> Nat)() };\nfunc rts_heap_size() : Nat { (prim "rts_heap_size" : () -> Nat)() };\nfunc rts_total_allocation() : Nat {\n (prim "rts_total_allocation" : () -> Nat)();\n};\nfunc rts_reclaimed() : Nat { (prim "rts_reclaimed" : () -> Nat)() };\nfunc rts_max_live_size() : Nat { (prim "rts_max_live_size" : () -> Nat)() };\nfunc rts_max_stack_size() : Nat { (prim "rts_max_stack_size" : () -> Nat)() };\nfunc rts_callback_table_count() : Nat {\n (prim "rts_callback_table_count" : () -> Nat)();\n};\nfunc rts_callback_table_size() : Nat {\n (prim "rts_callback_table_size" : () -> Nat)();\n};\nfunc rts_mutator_instructions() : Nat {\n (prim "rts_mutator_instructions" : () -> Nat)();\n};\nfunc rts_collector_instructions() : Nat {\n (prim "rts_collector_instructions" : () -> Nat)();\n};\nfunc rts_lifetime_instructions() : Nat {\n (prim "rts_lifetime_instructions" : () -> Nat)();\n};\nfunc rts_upgrade_instructions() : Nat {\n (prim "rts_upgrade_instructions" : () -> Nat)();\n};\n\nfunc rts_stable_memory_size() : Nat {\n (prim "rts_stable_memory_size" : () -> Nat)();\n};\n\nfunc rts_logical_stable_memory_size() : Nat {\n (prim "rts_logical_stable_memory_size" : () -> Nat)();\n};\n\n//TODO: just call this `weak`?\nfunc allocWeakRef(obj : T) : weak T {\n (prim "alloc_weak_ref" : T -> weak T)(obj);\n};\n\nfunc weakGet(w : weak T) : ?T {\n (prim "weak_get" : weak T -> ?T)(w);\n};\n\nfunc isLive(weak_ref : weak Any) : Bool {\n (prim "weak_ref_is_live" : weak Any -> Bool)(weak_ref);\n};\n\nfunc envVarNames() : [Text] {\n (prim "env_var_names" : () -> [Text])();\n};\n\nfunc envVar(name : Text) : ?Text {\n (prim "env_var" : Text -> ?Text)(name);\n};\n\n/// EXPERIMENTAL SECTION AND API. DO NOT USE IN PRODUCTION CODE!\n///\ntype __WeakRef = {\n ref : weak Blob;\n};\ntype __List = {\n var next : ?__List;\n value : ?__WeakRef;\n originalBlob : Blob;\n index : Nat;\n};\nfunc __getDedupTable() : ?[var __List] {\n (prim "get_dedup_table" : () -> ?[var __List])();\n};\n\nclass BlobIterator(hash : [var __List]) {\n let HASH_ARRAY_SIZE = 16_384;\n var currentIndex : Nat = 0;\n var currentList : ?__List = null;\n let hashArray = hash;\n\n // Counts the number of dead blobs.\n public func size() : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n var list = hashArray[i];\n label countLoop loop {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) {};\n case null { len += 1 };\n };\n };\n case null {};\n };\n let next = list.next;\n switch next {\n case (?next) { list := next };\n case null { break countLoop };\n };\n };\n i += 1;\n };\n len;\n };\n\n func getDeadBlobFromListNode(list : ?__List) : ?Blob {\n switch list {\n case (?myList) {\n let weakRef = myList.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) { return null };\n case null { return ?myList.originalBlob };\n };\n };\n case null { return null };\n };\n };\n case null { return null };\n };\n };\n\n func advanceListNode(list : ?__List) : ?__List {\n switch list {\n case (?list) { list.next };\n case null { null };\n };\n };\n\n public func nextDeadBlob() : Blob {\n // Start at the current index and list.\n loop {\n // Get the blob from the current list node.\n let blob = getDeadBlobFromListNode(currentList);\n switch blob {\n // If we found a blob, return it.\n case (?blob) {\n // Advance to the next list node.\n // So that next time we call nextDeadBlob(), we get the next blob.\n currentList := advanceListNode(currentList);\n return blob;\n };\n case null {\n // If we didn\'t find a blob, advance to the next list node.\n currentList := advanceListNode(currentList);\n\n switch currentList {\n case (?_) {};\n // If we reached the end of the list, advance to the next index.\n case null {\n currentIndex += 1;\n // If we reached the end of the hash array, return null.\n if (currentIndex >= HASH_ARRAY_SIZE) {\n return "";\n };\n // Get the new list node.\n currentList := ?hashArray[currentIndex];\n };\n };\n\n };\n };\n };\n "";\n };\n\n func computeIndex(b : Blob) : Nat {\n // Append the magic bytes to compute the hash.\n let magicBytes : [Nat8] = [0x21, 0x63, 0x61, 0x66, 0x21];\n let originalBlob : [Nat8] = blobToArray(b);\n let concat = Array_tabulate(magicBytes.size() + originalBlob.size(), func(i : Nat) : Nat8 = if (i < magicBytes.size()) { magicBytes[i] } else { originalBlob[i - magicBytes.size()] });\n let bWithMagic = arrayToBlob(concat);\n // Get hash bucket.\n let hashValue = hashBlob(bWithMagic);\n nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n };\n\n public func isBlobLive(b : Blob) : Bool {\n let index = computeIndex(b);\n var list = hashArray[index];\n // Walk the list and check if the blob is live.\n loop {\n if (blobCompare(list.originalBlob, b) == 0) {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) { return isLive(weakRef.ref) };\n // The weak ref should not be null, but just in case.\n case null { return false };\n };\n } else {\n // Advance to the next list node.\n let next = list.next;\n switch next {\n case (?next) { list := next };\n // If we reached the end of the list, return false.\n case null { return false };\n };\n };\n };\n };\n\n func pruneFirstElement(list : __List, b : Blob, index : Nat) : Bool {\n let deadBlob = getDeadBlobFromListNode(?list);\n switch deadBlob {\n case (?deadBlob) {\n if (blobCompare(deadBlob, b) == 0) {\n let nextElem = list.next;\n switch nextElem {\n case (?next) { hashArray[index] := next; return true };\n case null {\n // Do nothing. This case should not happen as the array is initialized\n // with a sentinel (empty) value that is non-null.};\n };\n };\n };\n };\n // No dead blob in this list node.\n case null {};\n };\n false;\n };\n\n public func pruneDeadBlobs(confirmedDeadBlobs : [Blob]) {\n // For each element in the confirmedDeadBlobs array, we check if it is in the hash array.\n // If it is, and if the corresponding WeakRef is null, we remove the whole list node\n // from the hash array.\n var i = 0;\n while (i < confirmedDeadBlobs.size()) {\n let b = confirmedDeadBlobs[i];\n // Get hash bucket.\n let index = computeIndex(b);\n // Get the list of the hash bucket and walk it until we find the blob b.\n let list = hashArray[index];\n // Special case for the first list node.\n let pruned = pruneFirstElement(list, b, index);\n if (pruned == false) {\n // If we\'re here, we know that the blob is not the first list node.\n // So we can advance to the next list node.\n var prev = ?list;\n var crntNode = advanceListNode(?list);\n label findLoop loop {\n let crntBlob = getDeadBlobFromListNode(crntNode);\n switch crntBlob {\n case (?crntBlob) {\n if (blobCompare(crntBlob, b) == 0) {\n // We found the blob and we know for sure it\'s dead.\n // We just need to prune the current list node.\n switch (prev, crntNode) {\n case (?prev, ?crntNode) {\n prev.next := crntNode.next;\n // Break the loop, we found the blob and pruned.\n break findLoop;\n };\n case _ {};\n };\n };\n };\n case null {\n // No dead blob in this list node.\n // We can advance pointers.\n prev := crntNode;\n crntNode := advanceListNode(crntNode);\n };\n };\n switch crntNode {\n case (?crntNode) {};\n // We reached the end, break.\n case null { break findLoop };\n };\n };\n };\n // Continue loop.\n i += 1;\n };\n\n };\n\n};\n\nfunc getDeadBlobs() : ?[Blob] {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n let numDeadBlobs = dedupTableIter.size();\n let deadBlobs = Array_tabulate(numDeadBlobs, func(i : Nat) : Blob { dedupTableIter.nextDeadBlob() });\n return ?deadBlobs;\n };\n case null { return null };\n };\n\n};\n\nfunc pruneConfirmedDeadBlobs(confirmedDeadBlobs : [Blob]) {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n dedupTableIter.pruneDeadBlobs(confirmedDeadBlobs);\n };\n };\n};\n\nfunc isStorageBlobLive(b : Blob) : Bool {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let iter = BlobIterator(dedupTable);\n iter.isBlobLive(b);\n };\n case null { false };\n };\n};\n///\n/// END EXPERIMENTAL SECTION.\n\n// Total conversions (fixed to big)\n\nlet int64ToInt = @int64ToInt;\nlet int32ToInt = @int32ToInt;\nlet int16ToInt = @int16ToInt;\nlet int8ToInt = @int8ToInt;\nlet nat64ToNat = @nat64ToNat;\nlet nat32ToNat = @nat32ToNat;\nlet nat16ToNat = @nat16ToNat;\nlet nat8ToNat = @nat8ToNat;\n\n// Trapping conversions (big to fixed)\n\nfunc intToInt64(n : Int) : Int64 = (prim "num_conv_Int_Int64" : Int -> Int64) n;\nfunc intToInt32(n : Int) : Int32 = (prim "num_conv_Int_Int32" : Int -> Int32) n;\nfunc intToInt16(n : Int) : Int16 = (prim "num_conv_Int_Int16" : Int -> Int16) n;\nfunc intToInt8(n : Int) : Int8 = (prim "num_conv_Int_Int8" : Int -> Int8) n;\n\nfunc natToNat64(n : Nat) : Nat64 = (prim "num_conv_Nat_Nat64" : Nat -> Nat64) n;\nfunc natToNat32(n : Nat) : Nat32 = (prim "num_conv_Nat_Nat32" : Nat -> Nat32) n;\nfunc natToNat16(n : Nat) : Nat16 = (prim "num_conv_Nat_Nat16" : Nat -> Nat16) n;\nfunc natToNat8(n : Nat) : Nat8 = (prim "num_conv_Nat_Nat8" : Nat -> Nat8) n;\n\n// Wrapping conversions (big to fixed, and within fixed)\n\nfunc intToInt64Wrap(n : Int) : Int64 = (prim "num_wrap_Int_Int64" : Int -> Int64) n;\nfunc intToInt32Wrap(n : Int) : Int32 = (prim "num_wrap_Int_Int32" : Int -> Int32) n;\nfunc intToInt16Wrap(n : Int) : Int16 = (prim "num_wrap_Int_Int16" : Int -> Int16) n;\nfunc intToInt8Wrap(n : Int) : Int8 = (prim "num_wrap_Int_Int8" : Int -> Int8) n;\n\nfunc intToNat64Wrap(n : Int) : Nat64 = (prim "num_wrap_Int_Nat64" : Int -> Nat64) n;\nfunc intToNat32Wrap(n : Int) : Nat32 = (prim "num_wrap_Int_Nat32" : Int -> Nat32) n;\nfunc intToNat16Wrap(n : Int) : Nat16 = (prim "num_wrap_Int_Nat16" : Int -> Nat16) n;\nfunc intToNat8Wrap(n : Int) : Nat8 = (prim "num_wrap_Int_Nat8" : Int -> Nat8) n;\n\n// Across same width\nfunc int64ToNat64(n : Int64) : Nat64 = (prim "num_wrap_Int64_Nat64" : Int64 -> Nat64) n;\nfunc nat64ToInt64(n : Nat64) : Int64 = (prim "num_wrap_Nat64_Int64" : Nat64 -> Int64) n;\nfunc int32ToNat32(n : Int32) : Nat32 = (prim "num_wrap_Int32_Nat32" : Int32 -> Nat32) n;\nfunc nat32ToInt32(n : Nat32) : Int32 = (prim "num_wrap_Nat32_Int32" : Nat32 -> Int32) n;\nfunc int16ToNat16(n : Int16) : Nat16 = (prim "num_wrap_Int16_Nat16" : Int16 -> Nat16) n;\nfunc nat16ToInt16(n : Nat16) : Int16 = (prim "num_wrap_Nat16_Int16" : Nat16 -> Int16) n;\nfunc int8ToNat8(n : Int8) : Nat8 = (prim "num_wrap_Int8_Nat8" : Int8 -> Nat8) n;\nfunc nat8ToInt8(n : Nat8) : Int8 = (prim "num_wrap_Nat8_Int8" : Nat8 -> Int8) n;\n\n// Between adjacent widths\nfunc nat8ToNat16(n : Nat8) : Nat16 = (prim "num_conv_Nat8_Nat16" : Nat8 -> Nat16) n;\nfunc nat16ToNat32(n : Nat16) : Nat32 = (prim "num_conv_Nat16_Nat32" : Nat16 -> Nat32) n;\nfunc nat32ToNat64(n : Nat32) : Nat64 = (prim "num_conv_Nat32_Nat64" : Nat32 -> Nat64) n;\n\nfunc nat64ToNat32(n : Nat64) : Nat32 = (prim "num_conv_Nat64_Nat32" : Nat64 -> Nat32) n;\nfunc nat32ToNat16(n : Nat32) : Nat16 = (prim "num_conv_Nat32_Nat16" : Nat32 -> Nat16) n;\nfunc nat16ToNat8(n : Nat16) : Nat8 = (prim "num_conv_Nat16_Nat8" : Nat16 -> Nat8) n;\n\nfunc int8ToInt16(n : Int8) : Int16 = (prim "num_conv_Int8_Int16" : Int8 -> Int16) n;\nfunc int16ToInt32(n : Int16) : Int32 = (prim "num_conv_Int16_Int32" : Int16 -> Int32) n;\nfunc int32ToInt64(n : Int32) : Int64 = (prim "num_conv_Int32_Int64" : Int32 -> Int64) n;\n\nfunc int64ToInt32(n : Int64) : Int32 = (prim "num_conv_Int64_Int32" : Int64 -> Int32) n;\nfunc int32ToInt16(n : Int32) : Int16 = (prim "num_conv_Int32_Int16" : Int32 -> Int16) n;\nfunc int16ToInt8(n : Int16) : Int8 = (prim "num_conv_Int16_Int8" : Int16 -> Int8) n;\n\n// Exploding to bytes\nfunc explodeNat16(n : Nat16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Nat16" : Nat16 -> (Nat8, Nat8)) n;\nfunc explodeInt16(n : Int16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Int16" : Int16 -> (Nat8, Nat8)) n;\nfunc explodeNat32(n : Nat32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat32" : Nat32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt32(n : Int32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int32" : Int32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeNat64(n : Nat64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat64" : Nat64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt64(n : Int64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int64" : Int64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\n\n// Char conversion and properties\n\nfunc charToNat32(c : Char) : Nat32 = (prim "num_wrap_Char_Nat32" : Char -> Nat32) c;\nfunc nat32ToChar(w : Nat32) : Char = (prim "num_conv_Nat32_Char" : Nat32 -> Char) w;\n\nfunc charToText(c : Char) : Text = (prim "conv_Char_Text" : Char -> Text) c;\n\nfunc charToUpper(c : Char) : Char = (prim "char_to_upper" : Char -> Char) c;\nfunc charToLower(c : Char) : Char = (prim "char_to_lower" : Char -> Char) c;\nfunc charIsWhitespace(c : Char) : Bool = (prim "char_is_whitespace" : Char -> Bool) c;\nfunc charIsLowercase(c : Char) : Bool = (prim "char_is_lowercase" : Char -> Bool) c;\nfunc charIsUppercase(c : Char) : Bool = (prim "char_is_uppercase" : Char -> Bool) c;\nfunc charIsAlphabetic(c : Char) : Bool = (prim "char_is_alphabetic" : Char -> Bool) c;\n\n// Blob functions\n\nfunc blobCompare(b1 : Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\nfunc hashBlob(b : Blob) : Nat32 { (prim "crc32Hash" : Blob -> Nat32) b };\n\n// Text conversion\nfunc decodeUtf8(b : Blob) : ?Text = (prim "decodeUtf8" : Blob -> ?Text) b;\nfunc encodeUtf8(t : Text) : Blob = (prim "encodeUtf8" : Text -> Blob) t;\n\n// Text comparison\nfunc textCompare(t1 : Text, t2 : Text) : Int8 = (prim "text_compare" : (Text, Text) -> Int8)(t1, t2);\n\n// Text lowercase\nfunc textLowercase(t : Text) : Text = (prim "text_lowercase" : (Text) -> Text)(t);\n// Text uppercase\nfunc textUppercase(t : Text) : Text = (prim "text_uppercase" : (Text) -> Text)(t);\n\n// Exotic bitwise operations\nfunc popcntNat8(w : Nat8) : Nat8 = (prim "popcnt8" : Nat8 -> Nat8) w;\nfunc clzNat8(w : Nat8) : Nat8 = (prim "clz8" : Nat8 -> Nat8) w;\nfunc ctzNat8(w : Nat8) : Nat8 = (prim "ctz8" : Nat8 -> Nat8) w;\nfunc btstNat8(w : Nat8, amount : Nat8) : Bool = (prim "btst8" : (Nat8, Nat8) -> Nat8)(w, amount) != (0 : Nat8);\n\nfunc popcntNat16(w : Nat16) : Nat16 = (prim "popcnt16" : Nat16 -> Nat16) w;\nfunc clzNat16(w : Nat16) : Nat16 = (prim "clz16" : Nat16 -> Nat16) w;\nfunc ctzNat16(w : Nat16) : Nat16 = (prim "ctz16" : Nat16 -> Nat16) w;\nfunc btstNat16(w : Nat16, amount : Nat16) : Bool = (prim "btst16" : (Nat16, Nat16) -> Nat16)(w, amount) != (0 : Nat16);\n\nfunc popcntNat32(w : Nat32) : Nat32 = (prim "popcnt32" : Nat32 -> Nat32) w;\nfunc clzNat32(w : Nat32) : Nat32 = (prim "clz32" : Nat32 -> Nat32) w;\nfunc ctzNat32(w : Nat32) : Nat32 = (prim "ctz32" : Nat32 -> Nat32) w;\nfunc btstNat32(w : Nat32, amount : Nat32) : Bool = (prim "btst32" : (Nat32, Nat32) -> Nat32)(w, amount) != (0 : Nat32);\n\nfunc popcntNat64(w : Nat64) : Nat64 = (prim "popcnt64" : Nat64 -> Nat64) w;\nfunc clzNat64(w : Nat64) : Nat64 = (prim "clz64" : Nat64 -> Nat64) w;\nfunc ctzNat64(w : Nat64) : Nat64 = (prim "ctz64" : Nat64 -> Nat64) w;\nfunc btstNat64(w : Nat64, amount : Nat64) : Bool = (prim "btst64" : (Nat64, Nat64) -> Nat64)(w, amount) != (0 : Nat64);\n\nfunc popcntInt8(w : Int8) : Int8 = (prim "popcntInt8" : Int8 -> Int8) w;\nfunc clzInt8(w : Int8) : Int8 = (prim "clzInt8" : Int8 -> Int8) w;\nfunc ctzInt8(w : Int8) : Int8 = (prim "ctzInt8" : Int8 -> Int8) w;\nfunc btstInt8(w : Int8, amount : Int8) : Bool = (prim "btstInt8" : (Int8, Int8) -> Int8)(w, amount) != (0 : Int8);\n\nfunc popcntInt16(w : Int16) : Int16 = (prim "popcntInt16" : Int16 -> Int16) w;\nfunc clzInt16(w : Int16) : Int16 = (prim "clzInt16" : Int16 -> Int16) w;\nfunc ctzInt16(w : Int16) : Int16 = (prim "ctzInt16" : Int16 -> Int16) w;\nfunc btstInt16(w : Int16, amount : Int16) : Bool = (prim "btstInt16" : (Int16, Int16) -> Int16)(w, amount) != (0 : Int16);\n\nfunc popcntInt32(w : Int32) : Int32 = (prim "popcntInt32" : Int32 -> Int32) w;\nfunc clzInt32(w : Int32) : Int32 = (prim "clzInt32" : Int32 -> Int32) w;\nfunc ctzInt32(w : Int32) : Int32 = (prim "ctzInt32" : Int32 -> Int32) w;\nfunc btstInt32(w : Int32, amount : Int32) : Bool = (prim "btstInt32" : (Int32, Int32) -> Int32)(w, amount) != (0 : Int32);\n\nfunc popcntInt64(w : Int64) : Int64 = (prim "popcntInt64" : Int64 -> Int64) w;\nfunc clzInt64(w : Int64) : Int64 = (prim "clzInt64" : Int64 -> Int64) w;\nfunc ctzInt64(w : Int64) : Int64 = (prim "ctzInt64" : Int64 -> Int64) w;\nfunc btstInt64(w : Int64, amount : Int64) : Bool = (prim "btstInt64" : (Int64, Int64) -> Int64)(w, amount) != (0 : Int64);\n\n// Float32 conversions\n\nfunc floatToFloat32(f : Float) : Float32 = (prim "num_conv_Float_Float32" : Float -> Float32) f;\nfunc float32ToFloat(f : Float32) : Float = (prim "num_conv_Float32_Float" : Float32 -> Float) f;\n\n// Checked Float -> Float32 conversion: returns ?Float32 if round-trip stays within epsilon, null otherwise\nfunc safeFloatToFloat32(f : Float, epsilon : Float) : ?Float32 {\n let f32 = floatToFloat32 f;\n if (floatAbs(float32ToFloat f32 - f) <= epsilon) ?f32 else null\n};\n\n// Float operations\n\nfunc floatAbs(f : Float) : Float = (prim "fabs" : Float -> Float) f;\nfunc floatSqrt(f : Float) : Float = (prim "fsqrt" : Float -> Float) f;\nfunc floatCeil(f : Float) : Float = (prim "fceil" : Float -> Float) f;\nfunc floatFloor(f : Float) : Float = (prim "ffloor" : Float -> Float) f;\nfunc floatTrunc(f : Float) : Float = (prim "ftrunc" : Float -> Float) f;\nfunc floatNearest(f : Float) : Float = (prim "fnearest" : Float -> Float) f;\nfunc floatMin(f : Float, g : Float) : Float = (prim "fmin" : (Float, Float) -> Float)(f, g);\nfunc floatMax(f : Float, g : Float) : Float = (prim "fmax" : (Float, Float) -> Float)(f, g);\nfunc floatCopySign(f : Float, g : Float) : Float = (prim "fcopysign" : (Float, Float) -> Float)(f, g);\nfunc floatToInt(f : Float) : Int = (prim "num_conv_Float_Int" : Float -> Int)(f);\nfunc intToFloat(n : Int) : Float = (prim "num_conv_Int_Float" : Int -> Float)(n);\nfunc floatToInt64(f : Float) : Int64 = (prim "num_conv_Float_Int64" : Float -> Int64)(f);\nfunc int64ToFloat(n : Int64) : Float = (prim "num_conv_Int64_Float" : Int64 -> Float)(n);\n\nlet floatToText = @text_of_Float;\n\n// Configurable Float formatter\n// mode:\n// 0) fixed format "%.*f"\n// 1) exponent format "%.*e"\n// 2) generic format "%.*g"\n// 3) hexadecimal format "%.*h"\n// _) invalid (traps)\nfunc floatToFormattedText(f : Float, prec : Nat8, mode : Nat8) : Text = (prim "fmtFloat->Text" : (Float, Nat8, Nat8) -> Text)(f, prec, mode);\n\n// Trigonometric and transcendental functions\n\nfunc sin(f : Float) : Float = (prim "fsin" : Float -> Float) f;\nfunc cos(f : Float) : Float = (prim "fcos" : Float -> Float) f;\nfunc tan(f : Float) : Float = (prim "ftan" : Float -> Float) f;\nfunc arcsin(f : Float) : Float = (prim "fasin" : Float -> Float) f;\nfunc arccos(f : Float) : Float = (prim "facos" : Float -> Float) f;\nfunc arctan(f : Float) : Float = (prim "fatan" : Float -> Float) f;\nfunc arctan2(y : Float, x : Float) : Float = (prim "fatan2" : (Float, Float) -> Float)(y, x);\n\nfunc exp(f : Float) : Float = (prim "fexp" : Float -> Float) f;\nfunc log(f : Float) : Float = (prim "flog" : Float -> Float) f;\n\n// Array utilities\n\nfunc Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n};\n\nfunc Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n};\n\nfunc Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n};\n\nfunc blobToArray(b : Blob) : [Nat8] = (prim "blobToArray" : (Blob) -> [Nat8]) b;\nfunc blobToArrayMut(b : Blob) : [var Nat8] = (prim "blobToArrayMut" : (Blob) -> [var Nat8]) b;\nfunc arrayToBlob(a : [Nat8]) : Blob = (prim "arrayToBlob" : [Nat8] -> Blob) a;\nfunc arrayMutToBlob(a : [var Nat8]) : Blob = (prim "arrayMutToBlob" : [var Nat8] -> Blob) a;\n\n// Error codes\ntype ErrorCode = {\n #system_fatal;\n #system_transient;\n #destination_invalid;\n #canister_reject;\n #canister_error;\n #system_unknown;\n #future : Nat32;\n #call_error : { err_code : Nat32 };\n};\n\n// creation and inspection of abstract error\nfunc error(message : Text) : Error {\n let e = (#canister_reject, message);\n (prim "cast" : (ErrorCode, Text) -> Error) e;\n};\nfunc errorCode(e : Error) : ErrorCode = ((prim "cast" : Error -> (ErrorCode, Text)) e).0;\nfunc errorMessage(e : Error) : Text = ((prim "cast" : Error -> (ErrorCode, Text)) e).1;\n\n// Message deadline (best-effort messaging)\n\nfunc replyDeadline() : Nat64 = (prim "deadline" : () -> Nat64)();\n\n// Time\n\nfunc time() : Nat64 = (prim "time" : () -> Nat64)();\n\n// Principal\n\nfunc blobOfPrincipal(id : Principal) : Blob = (prim "blobOfPrincipal" : Principal -> Blob) id;\nfunc principalOfBlob(act : Blob) : Principal {\n // TODO: better: check size in prim "principalOfBlob" instead\n if (act.size() > 29) {\n trap("blob too long for principal");\n };\n (prim "principalOfBlob" : Blob -> Principal) act;\n};\n\nfunc principalOfActor(act : actor {}) : Principal = (prim "principalOfActor" : (actor {}) -> Principal) act;\nfunc actorOfPrincipal(p : Principal) : A = (prim "actorOfPrincipal" : Principal -> A) p;\nfunc isController(p : Principal) : Bool = (prim "is_controller" : Principal -> Bool) p;\nfunc isReplicatedExecution() : Bool = (prim "replicated_execution" : () -> Bool)();\nfunc canisterVersion() : Nat64 = (prim "canister_version" : () -> Nat64)();\nfunc canisterSubnet() : Principal = (prim "canister_subnet" : () -> Principal)();\nfunc rootKey() : Blob = (prim "root_key" : () -> Blob)();\nfunc getSelfPrincipal() : Principal = (prim "canister_self" : () -> Principal)();\n\n// Untyped dynamic actor creation from blobs\nlet createActor : (wasm : Blob, argument : Blob) -> async Principal = @create_actor_helper;\n\nfunc cyclesBalance() : Nat = (prim "cyclesBalance" : () -> Nat)();\nfunc cyclesAvailable() : Nat = (prim "cyclesAvailable" : () -> Nat)();\nfunc cyclesRefunded() : Nat = @refund;\nfunc cyclesAccept(amount : Nat) : Nat = (prim "cyclesAccept" : Nat -> Nat) amount;\n\nfunc cyclesAdd(amount : Nat) : () {\n if (amount == 0) return;\n @cycles += amount;\n // trap if @cycles would exceed 2^128\n if (@cycles > 0xFFFFFFFF_FFFFFFFF_FFFFFFFF_FFFFFFFF) {\n trap("cannot add more than 2^128 cycles");\n };\n};\n\nfunc cyclesBurn(amount : Nat) : Nat = (prim "cyclesBurn" : Nat -> Nat) amount;\n\nfunc costCall(methodNameSize : Nat64, payloadSize : Nat64) : Nat = (prim "costCall" : (Nat64, Nat64) -> Nat)(methodNameSize, payloadSize);\n\nfunc costCreateCanister() : Nat = (prim "costCreateCanister" : () -> Nat)();\n\nfunc costHttpRequest(requestSize : Nat64, maxResBytes : Nat64) : Nat = (prim "costHttpRequest" : (Nat64, Nat64) -> Nat)(requestSize, maxResBytes);\n\nfunc costSignWithEcdsa(keyName : Text, curveEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithEcdsa" : (Text, Nat32) -> (Nat32, Nat))(keyName, curveEncoding);\n\nfunc costSignWithSchnorr(keyName : Text, algorithmEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithSchnorr" : (Text, Nat32) -> (Nat32, Nat))(keyName, algorithmEncoding);\n\n// certified data\nfunc setCertifiedData(data : Blob) = (prim "setCertifiedData" : Blob -> ()) data;\nfunc getCertificate() : ?Blob = (prim "getCertificate" : () -> ?Blob)();\n\n// stable memory\n\n/// @deprecated M0199\nfunc stableMemorySize() : Nat64 = (prim "stableMemorySize" : () -> Nat64)();\n\n/// @deprecated M0199\nfunc stableMemoryGrow(pages : Nat64) : Nat64 = (prim "stableMemoryGrow" : Nat64 -> Nat64) pages;\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat32(offset : Nat64) : Nat32 = (prim "stableMemoryLoadNat32" : Nat64 -> Nat32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat32(offset : Nat64, val : Nat32) : () = (prim "stableMemoryStoreNat32" : (Nat64, Nat32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat8(offset : Nat64) : Nat8 = (prim "stableMemoryLoadNat8" : Nat64 -> Nat8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat8(offset : Nat64, val : Nat8) : () = (prim "stableMemoryStoreNat8" : (Nat64, Nat8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat16(offset : Nat64) : Nat16 = (prim "stableMemoryLoadNat16" : Nat64 -> Nat16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat16(offset : Nat64, val : Nat16) : () = (prim "stableMemoryStoreNat16" : (Nat64, Nat16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat64(offset : Nat64) : Nat64 = (prim "stableMemoryLoadNat64" : Nat64 -> Nat64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat64(offset : Nat64, val : Nat64) : () = (prim "stableMemoryStoreNat64" : (Nat64, Nat64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt32(offset : Nat64) : Int32 = (prim "stableMemoryLoadInt32" : Nat64 -> Int32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt32(offset : Nat64, val : Int32) : () = (prim "stableMemoryStoreInt32" : (Nat64, Int32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt8(offset : Nat64) : Int8 = (prim "stableMemoryLoadInt8" : Nat64 -> Int8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt8(offset : Nat64, val : Int8) : () = (prim "stableMemoryStoreInt8" : (Nat64, Int8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt16(offset : Nat64) : Int16 = (prim "stableMemoryLoadInt16" : Nat64 -> Int16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt16(offset : Nat64, val : Int16) : () = (prim "stableMemoryStoreInt16" : (Nat64, Int16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt64(offset : Nat64) : Int64 = (prim "stableMemoryLoadInt64" : Nat64 -> Int64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt64(offset : Nat64, val : Int64) : () = (prim "stableMemoryStoreInt64" : (Nat64, Int64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadFloat(offset : Nat64) : Float = (prim "stableMemoryLoadFloat" : Nat64 -> Float) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreFloat(offset : Nat64, val : Float) : () = (prim "stableMemoryStoreFloat" : (Nat64, Float) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadBlob(offset : Nat64, size : Nat) : Blob = (prim "stableMemoryLoadBlob" : (Nat64, Nat) -> Blob)(offset, size);\n\n/// @deprecated M0199\nfunc stableMemoryStoreBlob(offset : Nat64, val : Blob) : () = (prim "stableMemoryStoreBlob" : (Nat64, Blob) -> ())(offset, val);\n\n// Returns a query that computes the current actor\'s stable variable statistics (for now, the current size, in bytes, of serialized stable variable data).\nfunc stableVarQuery() : shared query () -> async { size : Nat64 } = (prim "stableVarQuery" : () -> (shared query () -> async { size : Nat64 }))();\n\n// stable regions\n\nfunc regionNew() : Region = (prim "regionNew" : () -> Region)();\n\nfunc regionId(r : Region) : Nat = (prim "regionId" : Region -> Nat) r;\n\nfunc regionSize(r : Region) : Nat64 = (prim "regionSize" : Region -> Nat64) r;\n\nfunc regionGrow(r : Region, pages : Nat64) : Nat64 = (prim "regionGrow" : (Region, Nat64) -> Nat64)(r, pages);\n\nfunc regionLoadNat32(r : Region, offset : Nat64) : Nat32 = (prim "regionLoadNat32" : (Region, Nat64) -> Nat32)(r, offset);\n\nfunc regionStoreNat32(r : Region, offset : Nat64, val : Nat32) : () = (prim "regionStoreNat32" : (Region, Nat64, Nat32) -> ())(r, offset, val);\n\nfunc regionLoadNat8(r : Region, offset : Nat64) : Nat8 = (prim "regionLoadNat8" : (Region, Nat64) -> Nat8)(r, offset);\n\nfunc regionStoreNat8(r : Region, offset : Nat64, val : Nat8) : () = (prim "regionStoreNat8" : (Region, Nat64, Nat8) -> ())(r, offset, val);\n\nfunc regionLoadNat16(r : Region, offset : Nat64) : Nat16 = (prim "regionLoadNat16" : (Region, Nat64) -> Nat16)(r, offset);\n\nfunc regionStoreNat16(r : Region, offset : Nat64, val : Nat16) : () = (prim "regionStoreNat16" : (Region, Nat64, Nat16) -> ())(r, offset, val);\n\nfunc regionLoadNat64(r : Region, offset : Nat64) : Nat64 = (prim "regionLoadNat64" : (Region, Nat64) -> Nat64)(r, offset);\n\nfunc regionStoreNat64(r : Region, offset : Nat64, val : Nat64) : () = (prim "regionStoreNat64" : (Region, Nat64, Nat64) -> ())(r, offset, val);\n\nfunc regionLoadInt32(r : Region, offset : Nat64) : Int32 = (prim "regionLoadInt32" : (Region, Nat64) -> Int32)(r, offset);\n\nfunc regionStoreInt32(r : Region, offset : Nat64, val : Int32) : () = (prim "regionStoreInt32" : (Region, Nat64, Int32) -> ())(r, offset, val);\n\nfunc regionLoadInt8(r : Region, offset : Nat64) : Int8 = (prim "regionLoadInt8" : (Region, Nat64) -> Int8)(r, offset);\n\nfunc regionStoreInt8(r : Region, offset : Nat64, val : Int8) : () = (prim "regionStoreInt8" : (Region, Nat64, Int8) -> ())(r, offset, val);\n\nfunc regionLoadInt16(r : Region, offset : Nat64) : Int16 = (prim "regionLoadInt16" : (Region, Nat64) -> Int16)(r, offset);\n\nfunc regionStoreInt16(r : Region, offset : Nat64, val : Int16) : () = (prim "regionStoreInt16" : (Region, Nat64, Int16) -> ())(r, offset, val);\n\nfunc regionLoadInt64(r : Region, offset : Nat64) : Int64 = (prim "regionLoadInt64" : (Region, Nat64) -> Int64)(r, offset);\n\nfunc regionStoreInt64(r : Region, offset : Nat64, val : Int64) : () = (prim "regionStoreInt64" : (Region, Nat64, Int64) -> ())(r, offset, val);\n\nfunc regionLoadFloat(r : Region, offset : Nat64) : Float = (prim "regionLoadFloat" : (Region, Nat64) -> Float)(r, offset);\n\nfunc regionStoreFloat(r : Region, offset : Nat64, val : Float) : () = (prim "regionStoreFloat" : (Region, Nat64, Float) -> ())(r, offset, val);\n\nfunc regionLoadBlob(r : Region, offset : Nat64, size : Nat) : Blob = (prim "regionLoadBlob" : (Region, Nat64, Nat) -> Blob)(r, offset, size);\n\nfunc regionStoreBlob(r : Region, offset : Nat64, val : Blob) : () = (prim "regionStoreBlob" : (Region, Nat64, Blob) -> ())(r, offset, val);\n\nlet call_raw = @call_raw;\n\nfunc performanceCounter(counter : Nat32) : Nat64 = (prim "performanceCounter" : (Nat32) -> Nat64) counter;\n\n// Candid configuration\nfunc setCandidLimits({\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidLimits" : (Nat32, Nat32, Nat32) -> ())(numerator, denominator, bias);\n};\n\nfunc getCandidLimits() : {\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n} {\n let (numerator, denominator, bias) = (prim "getCandidLimits" : () -> (Nat32, Nat32, Nat32))();\n {\n numerator;\n denominator;\n bias;\n };\n};\n\nfunc setCandidTypeLimits({\n scalar : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidTypeLimits" : (Nat32, Nat32) -> ())(scalar, bias);\n};\n\nfunc getCandidTypeLimits() : {\n scalar : Nat32;\n bias : Nat32;\n} {\n let (scalar, bias) = (prim "getCandidTypeLimits" : () -> (Nat32, Nat32))();\n {\n scalar;\n bias;\n };\n};\n\n// predicates for motoko-san\n\nfunc forall(f : T -> Bool) : Bool {\n (prim "forall" : (T -> Bool) -> Bool) (f);\n};\n\nfunc exists(f : T -> Bool) : Bool {\n (prim "exists" : (T -> Bool) -> Bool) (f);\n};\n',bv="stableMemoryStoreNat16",lv="WhileE",Bv="region_load_blob",jv="\nbecause ",kv="field names ",pv="int",dv="Int64",mv="misplaced stability declaration on field of non-actor",_v=176,hv="result",xv="$",yv="<2>",wv="` of type",gv=" is not contained in expected type",qv="Map.bal",Iv="v",Ev=143365725,Dv="str_self",$v="shared function must have syntactic return type '()' or 'async '",Tv="closedir",Nv="nat16",Fv="@reset_cycles",Uv="secondary",Gv="popcntInt64",Pv="Error",Kv="inline_labels",Ov="assertion failed at %s",Mv="",Rv="@@global_typtbl",Vv="__stablemem_load_blob",Lv="nat",Hv="cannot reject when running locally",Qv="cannot get method_name when running locally",Cv="timeout",Sv="WeakT",Zv="type_desc: unexpected type %s\n",zv=374,Xv="cannot infer return type",Jv=107,Wv="raw call",Yv="mo_types/expansive.ml",rA="rel_buf",nA="rts_memory_size",tA="param",eA="Undefined_recursive_module",uA=2147483647,aA=65280,fA="\\t",iA="array",cA="rts_trap",oA="data_size",vA="blob_of_principal",AA="__wasm_call_ctors",sA="help",bA="accessing identifier before its definition",lA="E2BIG",BA="error_value",jA="Blob.compare_le",kA=113,pA="find_field",dA="expected `",mA="replicated_execution",_A=" = a: 0x",hA="@[%s%s@]",xA="bigint_of_word32",yA=256,wA="assert_nonneg",gA="call_perform_status",qA="PrimE",IA="root_key",EA="idl_sub_buf_init",DA="call_raw",$A="idl_limit_check",TA="blob",NA="region_store_word32",FA="tuple pattern cannot consume expected type",UA="field ",GA="rts_mutator_instructions",PA=" in record",KA="",OA="stableMemoryStoreNat64",MA="array_len",RA="schedule_",VA="stream_reserve",LA="EWOULDBLOCK",HA=123,QA=834,CA="M0226",SA="closure_data",ZA="data_certificate_size",zA="async expression",XA=4202101,JA="bigint_lsh",WA="Array.tabulateVar",YA="motoko:compiler",rs="__typtbl",ns="certified_data_set",ts="regionNew",es=">",us="acos",as="object type",fs="}",is="Name",cs="clz64",os='" not found',vs="memory",As="Sys_blocked_io",ss="module",bs="mo_frontend/parser.mly",ls=1/0,Bs="get_static_roots",js="Stable",ks="mkdir",ps=" declared",ds="codegen/compile_enhanced.ml",ms="IDL error: out of bounds read",_s="PostPreUpgrade",hs="s",xs="losing precision",ys="IDL error: variant index out of bounds",ws=" has incorrect number of arguments",gs="MixinD",qs="cycle_accept",Is="Assert_failure",Es="new",Ds=497,$s=" Display this list of options",Ts="Int64Lit",Ns=824580451,Fs="atan2",Us=134,Gs=425,Ps="nat64",Ks="bigint_leb128_decode",Os="explode_Int16",Ms="NeqOp",Rs="margin_length",Vs="unclosed comment",Ls="rts_collector_instructions",Hs="__stablememory_load_word16",Qs="ForE",Cs="moc_stable_mem_grow",Ss="different set of bindings in pattern alternatives",Zs="FuncT",zs="CPSAwait bad cont",Xs="MulOp",Js="cannot send references on IC System API",Ws="as_func",Ys=" = ",rb="stableMemorySize",nb="Char",tb="meth_pair2",eb="lib/core/source.ml.T.t",ub="cost_call",ab="unvisited mutable data in serialize_go (Array)",fb="bigint_sleb128_stream_encode",ib="file size is larger than an OCaml 63-bit integer",cb="get_max_live_size",ob="field name ",vb="",Ab="stableMemoryStoreNat8",sb=141,bb="ftrunc",lb=120,Bb=1027,jb="(",kb="File",pb="ref_buffer",db="canister_self",mb="env_var_value_size",_b="__stablememory_load_float64",hb="LetD",xb="stop_gc_before_stabilization",yb="call_cycles_add128",wb="AsyncT",gb="arg%i",qb="env",Ib=415,Eb="Fatal error: exception ",Db="Unknown stack_rep conversion %s -> %s\n",$b="GOT.mem",Tb=181,Nb=118,Fb="__type_offsets_length",Ub="blob_len",Gb="camlinternalFormat.ml",Pb="bigint_gt",Kb="str_caller",Ob="PostQuery",Mb=737453762,Rb="Unreachable",Vb="ic0_performance_counter",Lb="ObjP",Hb="mixins may only be imported by binding to a name",Qb="Int8Lit",Cb=913,Sb="relop",Zb="ECONNABORTED",zb=151,Xb="write_",Jb="unexpected %s, expected one of token or sequence:\n %s",Wb="logicalStableMemorySize",Yb="cannot get environment variable when running locally",rl="buffer_size overflow",nl="Stack_overflow",tl="of",el="DoOptE",ul="%s\n%!",al="if_can_tag_i64",fl="@;<0 1>",il="to_%i_tuple",cl=" is PublicMethod",ol="Flexible",vl="assertion failure",Al="shared function has non-shared return type",sl="arg_typ",bl="compact",ll="No global named %s declared",Bl=189,jl=65535,kl="EACCES",pl="VariantT",dl="redundant ignore, operand already has type ()",ml="copying",_l="EINTR",hl=1836278016,xl="costCreateCanister",yl=145,wl="duplicate binding for %s in pattern",gl="ValPF",ql="duplicate binding for type ",Il="M0189",El=921,Dl="algorithm",$l="message result is not sharable:\n %s",Tl="fexp",Nl=402,Fl="explode_Nat32",Ul=422,Gl=162,Pl="bigint_2complement_bits",Kl="__call_perform_message",Ol=352,Ml="...",Rl="system_unknown",Vl="ENOEXEC",Ll="stableMemoryStoreBlob",Hl="ptr",Ql="__motoko_gc_trigger",Cl=341,Sl="multi-memory",Zl="`, `",zl="Note",Xl="bulk-memory",Jl="int16",Wl=115,Yl="serialize",rB="msg_cycles_available128",nB=104,tB="M0059",eB="set_val: %s is PublicMethod",uB="await",aB="shared function has non-async result type",fB="message result is not sharable:\n ",iB="bug",cB="stable64_size",oB="@@data_buf",vB="register_stable_type",AB="n",sB="shared function with async result type has non-async body",bB="vals",lB="type",BB="__stablemem_store_blob",jB="alloc_weak_ref",kB="stableMemoryStoreInt32",pB=467,dB="%Lx",mB="region_store_word8",_B="_clos",hB="B_rem",xB="AddOp",yB="String",wB="End_of_file",gB="boxed_i64",qB="lib/pack/menhirLib.ml",IB="caller",EB="blocks",DB="AllocHow.disjoint_union: ",$B="<- await",TB="@[<1>(%a)@]",NB="write_location",FB=366,UB="f32_pow_b",GB="AndOp",PB="ActorUrlE",KB="mo_values/prim.ml",OB="get_heap_base",MB="@@",RB="text",VB="GtOp",LB="null",HB="msg_method_name_copy",QB="TypPF",CB="bigint function error",SB="boxed_f64",ZB="EqOp",zB="IDL error: coercion failure encountered",XB="@[%*s %a %a@]",JB="M0041",WB="memcmp",YB="",rj=1023,nj="ENOTCONN",tj="return",ej="encodeUtf8",uj=65536,aj=926227490,fj="lines",ij="catch",cj="InComposite",oj="get_graph_destabilized_actor",vj="continue ",Aj=8421504,sj="refs_size",bj=659980059,lj=307,Bj='internal error: const "',jj="sources",kj="infinity",pj="arg",dj="__stabilization_completed",mj="getCandidTypeLimits",_j="clz16",hj="object_size/Mut: Unexpected tag.",xj="PathT",yj="stable64_grow",wj="candid:args",gj="ExpField",qj="the new type of stable variable `",Ij=128,Ej=436,Dj="Sys_error",$j="\nLast environment:\n",Tj="this function has the name of a system method, but is declared without system visibility and will not be called by the system",Nj="object pattern cannot consume expected type",Fj=1073741823,Uj=4194304,Gj="compiler bug: expected a module or actor class but found a program, i.e. a sequence of declarations",Pj="` is missing from ",Kj="Arr.ofBlob",Oj="mo_idl/idl_to_mo.ml",Mj=479,Rj=358,Vj=-605101559,Lj="mo_interpreter/interpret.ml",Hj="enhanced-orthogonal-persistence",Qj="TupT",Cj="OrOp",Sj="regionLoadNat16",Zj="Vanilla",zj="cycle_refunded",Xj="canister_self_size",Jj=32768,Wj="StableMemory range overflow",Yj="@{",rk="get_n_ptr",nk="unbound variable %s",tk="trap",ek="M0141",uk="ESHUTDOWN",ak="float32",fk="json",ik=" : file already exists",ck="EPROTOTYPE",ok="len2",vk="compile_eq",Ak="Prim",sk="tup",bk="Array.init",lk=155,Bk="ir_passes/eq.ml",jk="Local actors not supported by backend",kk="\n ",pk="@motoko_async_stabilization",dk="Array.idx_bigint",mk="%s%!",_k="__motoko_destabilize_after_upgrade",hk="set_dedup_table",xk="field name %s does not exist in type\n %s",yk="Mixins are not yet supported in the interpreter",wk="src/fmt.ml",gk=229,qk="true",Ik=337,Ek="clzInt8",Dk=200,$k="IDL error: unexpected actor reference",Tk="EADDRNOTAVAIL",Nk="str",Fk="source",Uk="misplaced ",Gk="pattern failed",Pk=334,Kk="fmin",Ok="call_perform",Mk="M0037",Rk=237,Vk="ShiftROp",Lk="__stablememory_store_word64",Hk="bigint_to_word32_wrap",Qk="src/automaton_state_intf.ml",Ck=1073741824,Sk="nat_sub",Zk="blob_vals_iter",zk="ctzInt32",Xk="Nat->Nat64",Jk="Invalid stack rep join (",Wk="IDL error: did not find field ",Yk="__stablemem_grow",rp="buf",np="IDL error: left-over bytes ",tp=191,ep="fcos",up="throw",ap="stableMemoryLoadInt16",fp="actor class cannot take a context pattern",ip="mismatching sources",cp="last",op="env_var_name_copy",vp="compile_prim_invocation",Ap=16776960,sp="regionLoadNat64",bp="file ",lp="stable64_read",Bp="this code is (or uses) the deprecated library `ExperimentalStableMemory`.\nPlease use the `Region` library instead: https://internetcomputer.org/docs/current/motoko/main/stable-memory/stable-regions/#the-region-library or compile with flag `--experimental-stable-memory 1` to suppress this message.",jp="y",kp=" and ",pp="env_var_name_exists",dp=121,mp="Shared Query",_p="codegen/compile_classical.ml",hp="multi_val_%d",xp="Nat8Lit",yp="__stablememory_load_blob",wp="note",gp="No global named ",qp="TupE",Ip="bad import: expected a module or actor class but found an actor",Ep="Invalid_argument",Dp="Nat16",$p=" -> ",Tp="as_async",Np="UnboxedTuple %d",Fp=16777215,Up="future",Gp="getCandidLimits",Pp="StableMemory offset out of bounds",Kp="Blob.idx",Op="shared function has unexpected type parameters",Mp="duplicate binding for ",Rp='compile_const_exp/VarE: "%s" not found',Vp=512,Lp="TagP",Hp="fmax",Qp="call_with_best_effort_response",Cp=1026,Sp=157,Zp="tuple projection ",zp="next",Xp="private",Jp="EPERM",Wp="cycle_add",Yp="rmdir",rd="region_new",nd="operator is not defined for operand type%a",td="the type ",ed="different set of type bindings in pattern alternatives",ud=198,ad="mo_def/compUnit.ml",fd=248,id="array index out of bounds",cd="M0031",od="break",vd=378,Ad="print",sd="BinOp",bd="@@value_quota",ld="Float32Lit",Bd="init",jd=" does not exist in type\n ",kd=" in pattern",pd=16777153,dd="clz8",md="data_certificate_copy",_d=108,hd="tuple pattern has ",xd=466,yd="PrimT",wd=" of type:",gd="promising function cannot be local:\n %s",qd=".",Id="ECHILD",Ed=1006505782,Dd="heartbeat_exp",$d="install_arg",Td="Func",Nd="popcnt32",Fd="B_lsh",Ud="clzInt64",Gd="opt_scrut",Pd=737456202,Kd="mo_types/productive.ml",Od="stream_write_byte",Md="compile_relop",Rd=194,Vd="fceil",Ld=382,Hd=138,Qd=",",Cd="index out of bounds",Sd="M0191",Zd="ClassD",zd="rts.wasm",Xd=179,Jd="env_var_count",Wd=117,Yd=419,rm="request_size",nm="loop",tm="moc_stable_mem_set_version",em="misplaced return",um="set_upgrade_instructions",am="unreachable",fm="async*",im="stag",cm=458,om="a float",vm="VarP",Am="__stablemem_version",sm=250,bm="sub",lm="text_uppercase",Bm="error_message",jm="from_word128_ptr",km="lowmemory",pm="unsafe_get",dm="running_gc",mm="tag_scrut",_m="InQuery",hm="cannot perform %s when running locally",xm="fcopysign",ym="rotl",wm="NegOp",gm="int_of_string",qm="M0062",Im="IncludeD",Em="post_write_barrier",Dm=379,$m="i7ymqwd0-0a6pw1d2-hmizryvw-z3in2dsm",Tm=255,Nm="principal_of_blob",Fm="",Um="pipeline/pipeline.ml",Gm="product",Pm=362,Km="bigint_sleb128_decode",Om="UnboxedTuple ",Mm=218,Rm="msg_method_name_size",Vm="allocation_barrier",Lm="ignore",Hm="char_to_upper",Qm="shared function has non-async result type%a",Cm="win32",Sm=963043957,Zm=185,zm="codegen/compile_common.ml",Xm="regionLoadNat32",Jm="Unix.Unix_error",Wm="setCandidTypeLimits",Ym="btstInt8",r_="Int16",n_=4298439,t_="motoko:stable-types",e_="M0154",u_="unop",a_="EOVERFLOW",f_=205556449,i_=" in imports",c_=", characters ",o_="__stablememory_load_word32",v_="__motoko_async_helper",A_="query",s_="too few type arguments",b_=452,l_="segments",B_="fmodf",j_="pages_needed",k_="zero flag expected",p_="Nat8",d_="%s",m_=109,__="EMLINK",h_="M0242",x_=310,y_="region_store_word64",w_="warning",g_=475,q_=265,I_="@timeout",E_="stableMemoryLoadNat16",D_="popcnt8",$_="mixins may only be declared at the top-level",T_="lib/ansi_renderer/snippet.ml",N_="written_value",F_="@",U_=346,G_="UnboxedWord64",P_="idl_alloc_typtbl",K_="lib.mo",O_="@[<2>async@ %a@]",M_="EDESTADDRREQ",R_="get_reclaimed",V_="blob_compare",L_="ENOMEM",H_="skip_leb128",Q_="unbound variable %s%a",C_="call_perform_message",S_="blob_of_ptr_size",Z_="EBUSY",z_="inspect",X_="serializing value of type None",J_="Int32Lit",W_="shared function cannot take a context pattern",Y_="skip_any",rh="alloc_size<",nh="'",th="<",eh="",uh="start_graph_destabilization",ah="bigint_leb128_decode_word64",fh="of_string",ih="wpow_int",ch="rts_lifetime_instructions",oh="Int16Lit",vh="btstInt16",Ah="mo_frontend/parsing.ml",sh=383,bh=182,lh=836501035,Bh="moc_stable_mem_get_size",jh="CPSAsync unexpected typ",kh="VarD",ph=231,dh=" : flags Open_rdonly and Open_wronly are not compatible",mh="ENETUNREACH",_h="incremental_gc",hh=32768,xh="EINPROGRESS",yh="__stablememory_size",wh="system_fatal",gh="float_fmt",qh=386,Ih="class",Eh="ic0_stable64_grow",Dh='": captures "',$h="regionSize",Th="boundary",Nh="Returns",Fh="__motoko_runtime_information",Uh="unbound variable ",Gh="actor class has non-async return type",Ph=239,Kh="cannot get certificate when running locally",Oh="ModOp",Mh="motoko",Rh=1350,Vh="M0086",Lh="EXDEV",Hh="_",Qh="checking",Ch=491,Sh="ETOOMANYREFS",Zh="",zh="bigint_rem",Xh="@[<1>?%a@]",Jh="(Flexible)",Wh="migration",Yh="\\\\",rx="accept_message",nx="@@global_typtbl_size",tx="variant",ex="/static/",ux="msg_deadline",ax="multi_val_",fx="",ix="as_obj",cx=698610924,ox="__motoko_stabilize_before_upgrade",vx=" does not match pattern",Ax="deadline",sx="expression of type",bx="continue",lx="bigint_to_word64_wrap",Bx=409,jx="garbageCollector",kx=8043,px=1057,dx=" missing",mx=122,_x="regionStoreNat16",hx="EPIPE",xx="cannot decide subtyping between type",yx="bigint_to_word32_trap_with",wx="in",gx="M0195",qx="B+div",Ix="cannot set certified data when running locally",Ex="pages",Dx=7949,$x="idltyp2",Tx="text_of_ptr_size",Nx=852405675,Fx="regionStoreNat8",Ux=16777212,Gx="AwaitE",Px="TODO: compile_unop",Kx="stableMemoryStoreInt16",Ox="canister_init",Mx="fabs",Rx="actor",Vx="popcnt16",Lx="malformed operator",Hx=345,Qx="%s\n",Cx="wasm_features",Sx="OptT",Zx=389604418,zx=" (in TAG 0x",Xx="@.",Jx=210,Wx="debug",Yx="Pos",ry="callbackTableSize",ny="=",ty="",ey="free_stable_actor",uy="M0096",ay=323,fy="shared function has non-shared parameter type",iy=1021133848,cy="@add_cycles",oy="old_pages",vy="XorOp",Ay="max_res_bytes",sy="region_load_word32",by="rts_start",ly="\nand",By=24029,jy="│",ky=372,py="ENOTEMPTY",dy="compilerVersion",my=1255,_y="env_var_name_size",hy="compile_const_exp/DotE: not a static object",xy="alloc_array",yy="case",wy="data buffer not filled",gy=-840203068,qy="call_as_prim was true?",Iy=": calling convention ",Ey=183,Dy=7947,$y="suspend",Ty="print_text",Ny="unrecognised attribute ",Fy="hash",Uy="ENOTSOCK",Gy="--help",Py="clz32",Ky="func",Oy="BreakE",My="regionId",Ry="first_word",Vy="custom section size mismatch",Ly=57344,Hy="region_store_blob",Qy=324,Cy="bigint_leb128_size",Sy="PowOp",Zy="Mixin",zy=455,Xy=16777152,Jy="msg_caller_size",Wy="type parameter %s has cyclic bounds %s",Yy=193,rw="ECONNREFUSED",nw="arg_count",tw="get_heap_size",ew="meth_pair1",uw="option pattern cannot consume expected type",aw=178,fw="mo_frontend/parser.ml",iw=297,cw="TypD",ow="msg_reply",vw="internal error: left-over ThrowPrim",Aw="ThrowE",sw=149,bw="mo_types/type.ml",lw=" components but expected type has ",Bw="word16",jw=756711075,kw="Int",pw="AnnotE",dw="IDL error: unexpected principal reference",mw="Principal",_w="TextLit",hw="new_object",xw="actor reference must have an actor type",yw="ToCandidE",ww="B_pow",gw="rts_max_stack_size",qw=737308346,Iw="sleb128_encode",Ew="Bottom",Dw="an actor or actor class must be the only non-imported declaration in a program",$w="@@ref_buf",Tw="ir_def/check_ir.ml",Nw="IDL error: exceeded value limit",Fw="__destabilized_actor",Uw="compile_const_exp/ProjE: not a static tuple",Gw="IntLit",Pw="is_controller",Kw=180,Ow=" in ",Mw="ValF",Rw="M0218",Vw=368,Lw="Var",Hw="wrap_pow_Int64",Qw="type parameter ",Cw="EMSGSIZE",Sw=737455525,Zw="lang_utils/expGraph.ml",zw=684370880,Xw="bigint_of_int64",Jw="to_opt_%i_tuple",Ww=696517344,Yw="char_is_whitespace",rg="int64",ng="lower",tg="alt_scrut",eg="composite send capability required, but not available\n (cannot call a `composite query` function from a non-`composite query` function)",ug="region_grow",ag="text_len",fg="lexp with non-mutable type",ig=440380662,cg="EADDRINUSE",og="^",vg="cannot decide type constructor equality",Ag="cannot get ",sg=342,bg="ENOTDIR",lg="bigint_lt",Bg="malformed UTF-8 encoding",jg="from_candid requires but is missing a known type (from context)",kg="M0240",pg="\\u{%02x}",dg="call_on_cleanup",mg=-397582078,_g="send capability required, but not available\n (cannot call a `shared` function from a `query` function)",hg="Pervasives.do_at_exit",xg="blob index out of bounds",yg="Blob.compare",wg="expected mutable assignment target",gg="this declares an implicit oneway function.\n if this is intentional, annotate explicitly with `: ()`, otherwise annotate with `: async ()`",qg="msg_reject_msg_size",Ig="Array.idx",Eg="lsh_Nat",Dg="alloc_size<%d>_tag<%d>",$g=301,Tg="TryE",Ng="cb_index",Fg="regionStoreInt64",Ug=154,Gg="package",Pg="text_concat",Kg="arrayMutToBlob",Og="msg_cycles_refunded128",Mg="is_graph_stabilization_started",Rg="M0121",Vg="Composite",Lg="word32",Hg="GeOp",Qg="M",Cg="M0177",Sg=".\n",Zg="A.B.C",zg="AsyncE",Xg="misplaced parenthetical (this call does not send a message)",Jg="memo",Wg="compile",Yg="rts_total_allocation",rq="PreInit",nq="N",tq="setCandidLimits",eq="blob too long for actor principal",uq="\n",aq="time",fq="assert",iq="ENOENT",cq="compile_comparison",oq="frame_ptr <> stack_ptr",vq="Division_by_zero",Aq="principalOfBlob",sq="EOPNOTSUPP",bq="weak",lq="x",Bq=119,jq=287,kq="mo_frontend/typing.ml",pq="costHttpRequest",dq="CallE",mq=101,_q="%.*g",hq="rts_callback_table_size",xq=255,yq=848054398,wq=100,gq=1114111,qq="Out of stable memory.",Iq="WAddOp",Eq="stableMemoryLoadFloat",Dq="canister_pre_upgrade",$q="M0206",Tq="actor classes with non non-async return types are deprecated; please declare the return type as 'async ...'",Nq="",Fq="unknown mixin ",Uq="__stablememory_store_blob",Gq="deprecated syntax: an imported library should be a module or named actor class",Pq="msg_reject_msg_copy",Kq="obj_idx<",Oq=4100401,Mq="unknown primitive type",Rq="InUpdate",Vq="pow",Lq="bigint_rsh",Hq="@@typtbl_end",Qq="rts_version",Cq="ctz32",Sq="wasi_snapshot_preview1",Zq="rts",zq="/// ",Xq="region_vec_pages",Jq="@get_actor_to_persist",Wq=1078,Yq="mul",rI="linking/linkModule.ml",nI="lib/ansi_renderer/snippet_renderer.ml",tI=266,eI="unexpected call_conv ",uI="\\n",aI="system_transient",fI="B_mod",iI="M0119",cI="bottom",oI="IdxE",vI="mutbox_value",AI="compute_crc32",sI=7982,bI="skip_fields",lI=354,BI="Bool",jI=919,kI="AltP",pI="0x",dI="LoopE",mI="bad annotation (object type expected)",_I="\n does not match ",hI="System",xI="stop",yI="as_mut",wI="print_ptr",gI="to_candid",qI=": closedir failed",II="canister_query ",EI=933,DI="IDL error: too few arguments ",$I=223,TI="EHOSTUNREACH",NI="regionLoadBlob",FI=" must not depend on itself",UI="IDL error: did not find tuple field in record",GI="__call_perform_status",PI="get_typtbl_ptr",KI="data_buffer",OI="Array index out of bounds",MI="Expect one table in first module",RI="regionStoreBlob",VI="bigint_isneg",LI=7951,HI="rts_logical_stable_memory_size",QI="cannot get cycles available when running locally",CI="__stablememory_store_float64",SI="cannot have more than one mode",ZI="EAGAIN",zI="regionGrow",XI="word64",JI="fmtFloat->Text",WI="NotE",YI="var ",rE=390,nE=207,tE="operator is not defined for operand type",eE=" ",uE="principalOfActor",aE="cos",fE="tagidx",iE="file %s must not depend on itself",cE="cost_sign_with_ecdsa",oE=220,vE=500,AE="set_static_variable",sE="bigint_to_float64",bE="IfE",lE="type_desc: unexpected type ",BE="message",jE="EMFILE",kE=7976,pE="DivOp",dE=-216810653,mE="bigint_to_word32_trap",_E="old_pos",hE="call ",xE="ExpD",yE=8041,wE="bigint_sub",gE="` is provided but not expected in object of type",qE="AwaitE*",IE="idlHash",EE=7945,DE="canister_self_copy",$E="",TE="region_store_word16",NE="Async*",FE="compile_lit_pat",UE="@@value_bias",GE="",PE="int_from_i64",KE="type field",OE="-help",ME="IDL error: circular record read",RE="shared function has non-shared return type%a",VE="mo_types/typ_hash.ml",LE="costCall",HE="FromCandidE",QE="actor classes are not supported",CE="Blob.compare_eq",SE="EHOSTDOWN",ZE="M0101",zE="ActorU",XE="composite",JE="Float->Text",WE=483,YE="set_val: ",rD="M0131",nD="canister_pre_upgrade attempted with outstanding message callbacks (try stopping the canister before upgrade)",tD="get_typtbl_size_ptr",eD="a shared function cannot be private",uD=-16777216,aD="ctzInt64",fD="Blob.compare_ge",iD="post_exp",cD=" in object pattern",oD="binop",vD="stableVarQuery",AD="EROFS",sD="Blob.compare_neq",bD="Region",lD="values",BD="..",jD="GOT.func",kD="Const",pD="cycle_balance",dD="rts_callback_table_count",mD="bigint_sleb128_encode",_D=" mentioned in error at ",hD=8046,xD="set_val: %s is const",yD="regionStoreInt8",wD="cannot get %s when running locally",gD="PosOp",qD=" or\n ",ID="serialize_go",ED="NatLit",DD=381,$D="leb128_decode",TD="crc32Hash",ND="f",FD="get_upgrade_instructions",UD="AsyncT*",GD="unbox64",PD="Nat16Lit",KD="Float",OD=195,MD="buffer.ml",RD="FuncE",VD="to_candid argument must have shared type, but instead has non-shared type%a",LD="idllib/arrange_idl.ml",HD="msg_caller_copy",QD="root_key_copy",CD="",SD="stableMemoryStoreInt8",ZD="stableMemoryLoadNat32",zD=410,XD="maxLiveSize",JD="Weak",WD="deserialize_go (Region): unexpected idl_typ",YD='compile_const_exp/ObjE: "',r$="async",n$="B_eq",t$="bigint_abs",e$=240,u$="msg_reject_code",a$="stack_overflow",f$="stableMemoryLoadInt32",i$="primary",c$="regionStoreNat64",o$=870828711,v$=1056,A$=";",s$=8044,b$="mixins can only be included in an actor context",l$="region_id",B$="field %s does not exist in %a",j$="record",k$="cannot infer type of implicit argument",p$="CPSAwait answer type error",d$="length",m$=" :",_$="with",h$='compile_const_exp/ObjE: "%s" not found',x$="regionLoadInt16",y$="B_neg",w$=375,g$="persistent",q$="Nat64",I$=7981,E$="__typtbl_end",D$="actor-alias",$$="Blob.idx_bigint",T$="M0236",N$=132,F$="",U$="expected object type, but expression produces type\n ",G$="B_add",P$="costSignWithEcdsa",K$="finally",O$="Help",M$="decodeUtf8",R$="M0241",V$="ParP",L$="maxStackSize",H$="moc_stable_mem_get_version",Q$="B_div",C$="__stablememory_load_word8",S$="M0199",Z$="as_variant",z$=-32,X$="inner actor classes are not supported yet; any actor class must come last in your program",J$="canister_version",W$="M0244",Y$="timer",rT="ImplicitLibE",nT="err_msg",tT="exp",eT="Variant",uT="M0074",aT="temp",fT="recall_continuation",iT="__stablememory_store_word32",cT="%lx",oT=284,vT="get_dedup_table",AT=": ",sT="B_gt",bT="sanityChecks",lT=371,BT=139,jT="stableMemoryGrow",kT="M0166",pT="regionStoreFloat",dT="obj_scrut",mT="rsh_Nat",_T=" in block",hT="ArrayT",xT="start_gc_after_destabilization",yT="bigint_mul",wT="AnnotP",gT="<:",qT="rotr",IT='internal error: const "%s": captures "%s", not found in static environment\n',ET="B_mul",DT=66447547,$T="AllocHow.join: cannot join StoreStatic and StoreHeap",TT="Odd: Type hash scratch space not empty",NT="actor_public_field",FT="Null",UT=-1073741824,GT="SubOp",PT=63,KT="",OT=114,MT="nativeint_of_big_int",RT="regionStoreInt16",VT="@[<1>(%a%s)@]",LT="@[{@;<0 0>%a@;<0 -2>}@]",HT="redundant `stable` keyword, this declaration is implicitly stable",QT="ArrayE",CT="[var ",ST="non-",ZT="float64",zT="variable",XT="PreLit",JT="Module",WT=111,YT="Invalid UTF-8",rN="cannot infer type of forward field reference %s",nN="internals",tN=")",eN="int32",uN="?",aN="buffer_size: unexpected variant",fN="graph_destabilization_increment",iN="public actor field needs to be a manifest function",cN="src/pre_sexp.ml",oN="msg",vN="EALREADY",AN="region",sN="TypF",bN=499,lN="ENOSPC",BN="ImportE",jN=495,kN="msg_reject",pN="bool",dN=82908052,mN="class cannot be a query",_N="explode_Int64",hN="data_segment_blob",xN="val",yN="heartbeat",wN="unexpected `system` capability (try deleting it)",gN=127,qN=190,IN="leb128_encode",EN="version",DN="RetE",$N=1072,TN="expected array type, but expression produces type\n ",NN="",FN="locus",UN=217,GN="ENETRESET",PN="try",KN="_bigarr02",ON="preupgrade",MN="bigint_count_bits",RN="data_certificate_present",VN="key_name",LN="BoolLit",HN="M0007",QN="to_candid argument must have shared type, but instead has non-shared type",CN="assertion failed at ",SN="newPages",ZN=870530776,zN="WildP",XN="@[",JN="initialize_incremental_gc",WN="stable",YN="btstInt64",rF="call_new",nF="clzInt16",tF="idlHash only implemented in interpreter",eF="B_sub",uF="used more than once",aF=749039939,fF=131,iF="M0190",cF="cannot accept cycles when running locally",oF="__lifetime_instructions",vF="IDL error: left-over references ",AF="M0168",sF="Nat32->Char",bF="uncovered relop",lF="menhir-recovery-lib/menhirRecoveryLib.ml",BF=253,jF="ctz16",kF="But got no arguments",pF=314,dF="neg_trap",mF="cannot read balance when running locally",_F=451,hF="@@value_denominator",xF="promising function cannot be local:\n ",yF=" is const",wF="ENOTTY",gF="blob_iter_done",qF="src",IF="refs_start",EF="notes",DF="nat8",$F="InPreUpgrade",TF=124,NF="DIDL\0\0",FF="uncaught throw",UF="compile_binop",GF="file$",PF="Set.bal",KF="stream_write_text",OF="weak_ref_is_live",MF=1031864215,RF=1024,VF=246,LF="canister_inspect_message",HF=429,QF="BlockE",CF="alloc_stream",SF="@anon-",ZF="Int8",zF="Blob size out of bounds",XF="idltyp1",JF="misplaced system visibility, did you mean private?",WF="migration expression consumes field `",YF="unknown mixin %s",rU="buffer_in_32_bit_range",nU="stream",tU="M0135",eU="costSignWithSchnorr",uU="memorySize",aU=" <: ",fU="ctzInt16",iU="M0033",cU="expected object type, but expression produces type",oU="DebugE",vU="ir_passes/show.ml",AU="stream_shutdown",sU=781116926,bU="LitP",lU="LtOp",BU="\ncannot produce expected type",jU="this looks like an unintended function call, perhaps a missing ';'?",kU="#",pU="cost_sign_with_schnorr",dU="blobToArrayMut",mU="DecField",_U="IgnoreE",hU="public ",xU=-822677911,yU=" of type",wU="table",gU="a",qU="blobToArray",IU=7979,EU="regionLoadNat8",DU="misplaced parenthetical (`async*` calls cannot be 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<>auto",GS="feed: outgoing transition does not exist",PS=ci,KS=uq,OS='/*\nThe prelude. This stuff is always initially in scope.\nThis should only be type definitions for primitive types.\n*/\n\ntype Any = prim "Any";\ntype None = prim "None";\ntype Null = prim "Null";\ntype Bool = prim "Bool";\ntype Nat = prim "Nat";\ntype Nat8 = prim "Nat8";\ntype Nat16 = prim "Nat16";\ntype Nat32 = prim "Nat32";\ntype Nat64 = prim "Nat64";\ntype Int = prim "Int";\ntype Int8 = prim "Int8";\ntype Int16 = prim "Int16";\ntype Int32 = prim "Int32";\ntype Int64 = prim "Int64";\ntype Float = prim "Float";\ntype Float32 = prim "Float32";\ntype Char = prim "Char";\ntype Text = prim "Text";\ntype Blob = prim "Blob";\ntype Error = prim "Error";\ntype Principal = prim "Principal";\ntype Region = prim 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result is negative, which may be unintentional.\n\nOffending code examples:\n\n```motoko\nfunc f(n : Nat) {\n if (n < 10) { return };\n let m = 2 * (n - 1);\n};\n\nfunc g(n : Nat) {\n if (n - 1 < 10) { return };\n};\n```\n\nIf the subtraction was indeed intended to have a `Nat` result, you can let the compiler know by annotating the intended type explicitly:\n\n```motoko\nfunc f(n : Nat) {\n let m : Nat = 2 * (n - 1);\n};\n```\n\nIf the intended type was `Int`, however, you can either annotate it as such:\n\n```\nfunc f(n : Nat) {\n let m : Int = 2 * (n - 1);\n};\n```\n\nOr you can insert a sign operator `+`, which also forces the expression to be of type `Int`:\n\n```\nfunc f(n : Nat) {\n let m = 2 * (+n - 1);\n};\n```\n\nThis latter possibility is particularly convenient in the case of comparisons, because it is always okay to perform them at type `Int`:\n\n```\nfunc g(n : Nat) {\n if (+n - 1 < 10) { return };\n};\n```\n"],"Inferred type Nat for subtraction"],[0,kT,0,"Type intersection results in abstract type"],[0,Ze,0,"Type union results in bottom type"],[0,iF,0,"Types inconsistent for alternative pattern variables, losing information"],[0,Sd,0,"Code requires Wasm features ... to execute"],[0,Ce,[0,'# M0194\n\nThis warning means that you defined an identifier without\nreferencing it later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nlet nickname = "klutz";\n// code that never uses `nickname`\n```\n\nIf you encounter this warning, you can either delete the definition (if the code has no other side-effect),\n\n```motoko\n// code that never uses `nickname`\n```\n\nreplace it by a wildcard pattern:\n\n```motoko\nlet _ = "klutz";\n// code that never uses `nickname`\n```\n\nor just prefix the identifier with an underscore:\n\n```motoko\nlet _nickname = "klutz";\n// code that never uses `nickname`\n```\n'],"Unused identifier warning"],[0,gx,[0,"# M0195\n\nThis warning means that you called a function that demands elevated (`system`) capabilities,\nwithout manifestly passing the capability.\n\n"],"warn that `system` capability is implicitly supplied"],[0,lO,[0,'# M0198\n\nThis warning means that you specified a field identifier in an object pattern without referencing this identifier later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName } = person;\nDebug.print(firstName);\n\n// secondName is not used\n```\n\nIf you encounter this warning and the identifier is indeed not needed, \nyou can either remove the field identifier from the object pattern,\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName } = person;\nDebug.print(firstName);\n```\n\nbind the field to a wildcard pattern:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _ } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n\nor bind the field to an identifier with an underscore prefix:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _secondName } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n'],"Unused field pattern warning"],[0,S$,[0,"# M0199\n\nThis error or warning means that your code is either directly or indirectly using the now deprecated library `ExperimentalStableMemory.mo` (or its supporting compiler primitives).\n\nThe library works as advertised but is a potential hazard as the resource it provides access to is shared between all clients of the library.\nThis means that a library may unintentionally or maliciously read or modify data maintained by your application, or by another library imported by your application.\n\nIf possible, please upgrade your code to use library `Region.mo` instead.\nThis improved library offers a similar abstraction, but instead of a single memory that is implicitly accessible to all callers, it provides multiple memories.\nThese memories, called regions, are isolated from each other and inaccessible unless a region is explicitly shared between libraries.\n\nThe `moc` compiler flag `--experimental-stable-memory ` flag controls the production of this error or warning message, allowing your code to compile as before:\n* n < 0: error on use of stable memory primitives.\n* n = 0: warn on use of stable memory primitives (the default).\n* n > 1: warning-less use of stable memory primitives (for legacy applications).\n\nI.e. if your application cannot easily be upgraded to use `Regions.mo` and still requires access to `ExperimentalStableMemory.mo`, you can opt-in to legacy support for `ExperimentalStableMemory.mo` using the `moc` compiler flag `--experimental-stable-memory 1`.\n"],"Deprecate experimental stable memory"],[0,$q,0,"Migration consumes, but does not produce, a declared field"],[0,IR,0,"Migration consumes, but does not produce, an un-declared field"],[0,Kt,0,"Parenthetical note must be applied to a message send"],[0,Qn,0,"Parenthetical note has no attributes"],[0,wa,[0,"# M0212\n\nThis warning means that you are affixing a parenthetical note to a message send (i.e. either\na canister method call of a self-send with `async`, or `actor`) that contains an attribute not recognised\nby this version of the Motoko compiler.\n\nCurrently, only these attributes are recognized in parenthetical notes:\n\nFor _message_ sends and `async` expressions\n- `cycles : Nat`\n- `timeout : Nat32`\n\nFor `actor` and `actor class` declarations:\n- `migration : {} -> {}`\n"],"Unrecognised attribute in parenthetical note"],[0,yi,0,"Field is lost in record used at supertype"],[0,HK,0,"Redundant `persistent`"],[0,Rw,0,"Redundant `stable`"],[0,st,0,"Ignored `async*`"],[0,pO,0,"Redundant type instantiation"],[0,dR,0,"Deprecate for caffeine"],[0,T$,0,"Suggest contextual dot notation"],[0,Mf,0,"Suggest redundant explicit arguments"],[0,IP,0,"Avoid binding a unit `()` result"],[0,kg,0,"Unused identifier in shared pattern warning"],[0,R$,0,"Unused field in shared pattern warning"],[0,h_,0,"Implicit oneway declaration"],[0,Hr,0,"Unreachable else in let-else"],[0,W$,0,"Mutable variable is never reassigned"]]),Dtr=[0,[11,"moc: invalid warning code: ",[2,0,[11,". Run 'moc --warn-help' to see available warning codes.",0]]],"moc: invalid warning code: %s. Run 'moc --warn-help' to see available warning codes."],$tr=[0,1],Ttr=[0,Zw,aw,2],Ntr=[0,Zw,Ug,4],Ftr=[0,Zw,wO,2],Utr=[0,Zw,98,2],Gtr=[0,[2,0,[10,0]],mk],Ptr=[0,[2,0,[10,0]],mk],Ktr=[0,[2,0,[12,10,[10,0]]],ul],Otr=EF,Mtr=xf,Rtr=BE,Vtr=[0,pf,"MachineApplicable"],Ltr=Si,Htr=[0,0],Qtr=JU,Ctr=w_,Str=Vc,Ztr=bu,ztr=[0,[11,"help: remove `",[2,0,[12,96,0]]],"help: remove `%s`"],Xtr=[0,[11,"help: insert `",[2,0,[12,96,0]]],"help: insert `%s`"],Jtr=[0,[11,"help: replace `",[2,0,[11,"` with `",[2,0,[12,96,0]]]]],"help: replace `%s` with `%s`"],Wtr=[0,[2,0,0],d_],Ytr=[0,[11,Sr,[2,0,0]],"note: %s"],rer=[0,[2,0,0],d_],ner=[0,[15,[17,4,0]],"%a@."],ter=Mv,eer=Mv,uer=Mv,aer=[0,[11," [",[2,0,[12,93,0]]]," [%s]"],fer=w_,ier=[0,[2,0,[11," error",0]],"%s error"],cer=bu,oer=uq,ver=Mv,Aer=uq,ser=Mv,ber=[0,[2,0,[11,AT,[2,0,[2,0,[11,tc,[2,0,[2,0,[2,0,[12,10,0]]]]]]]]],"%s: %s%s, %s%s%s\n"],ler=Mv,Ber=Hh,jer=Hh,ker=Hh,per=Hh,der=[0,[11,"Candid method name '",[2,0,[11,"' is not a valid Motoko identifier",0]]],"Candid method name '%s' is not a valid Motoko identifier"],mer=fc,_er=[0,[12,95,[2,0,[12,95,0]]],"_%s_"],her=Hh,xer=[0,"BlobT"],yer=[0,"PrincipalT"],wer=[0,"PreT"],ger=yd,qer=Zs,Ier=Sx,Eer=pl,Der=cw,$er=na,Ter=[0,"NoActor"],Ner=A$,Fer=TA,Uer=Kr,Ger=[0,LD,gN,14],Per=Ky,Ker=j$,Oer=tx,Mer=fs,Rer=[0,LD,Dc,18],Ver=A$,Ler=fs,Her=[0,14],Qer=Wr,Cer=Wr,Ser=Wr,Zer=Qd,zer=jb,Xer=tN,Jer=Wr,Wer=zq,Yer=zq,rur=A$,nur=A$,tur=Qu,eur=Wr,uur=fs,aur=Qu,fur=Wr,iur=$p,cur=[0,LD,VO,11],our=lB,vur=ny,Aur=wo,sur=wo,bur=wo,lur=Lv,Bur=DF,jur=Nv,kur=vP,pur=Ps,dur=pv,mur=hK,_ur=Jl,hur=eN,xur=rg,yur=ak,wur=ZT,gur=pN,qur=RB,Iur=LB,Eur=We,Dur=Hi,$ur=[0,KO,Hd,12],Tur=[0,[11,SI,0],SI],Nur=[0,[11,ra,0],ra],Fur=[0,[11,Cn,0],Cn],Uur=[0,[11,ob,[2,0,[11," hash collision with field ",[2,0,0]]]],"field name %s hash collision with field %s"],Gur=[0,[2,0,[11," is a non-function type\n ",[2,0,0]]],"%s is a non-function type\n %s"],Pur=[0,[11,Mp,[2,0,[11," in service",0]]],"duplicate binding for %s in service"],Kur=[0,[11,Mp,[2,0,[11," in type definitions",0]]],"duplicate binding for %s in type definitions"],Our=[0,KO,Mm,14],Mur=[0,[2,0,[11," is a non-service type\n ",[2,0,0]]],"%s is a non-service type\n %s"],Rur=[0,[2,0,[11," has a cyclic type definition",0]],"%s has a cyclic type definition"],Vur=[0,[11,"unbound type identifier ",[2,0,0]],"unbound type identifier %s"],Lur=[0,0],Hur=[0,0],Qur=[0,0],Cur=lB,Sur=Mv,Zur=[0,[11,"Internal failure -- please contact the parser generator's developers.\n",[10,0]],"Internal failure -- please contact the parser generator's developers.\n%!"],zur=[0,"idllib/parser.ml",2461,4],Xur=[0,14],Jur=YT,Wur=[0,14],Yur=[0,14],rar=YT,nar=YT,tar=YT,ear=YT,uar=YT,aar=YT,far=YT,iar=Mv,car=[0,"idllib/parser.mly",12,2],oar=SH([[0,Lv,0],[0,DF,1],[0,Nv,2],[0,vP,3],[0,Ps,4],[0,pv,5],[0,hK,6],[0,Jl,7],[0,eN,8],[0,rg,9],[0,ak,10],[0,ZT,11],[0,pN,12],[0,RB,13],[0,LB,14],[0,We,15],[0,Hi,16]]),Aar=ya,sar=jP,bar=si,lar=Lx,Bar=Bg,jar=Vs,kar=Bg,par=[0,10,0],dar=[0,13,0],mar=[0,9,0],_ar=Mv,har=cR,xar=[0,92,0],yar=[0,39,0],war=[0,34,0],gar=[0,[11,bp,[2,0,[11,FI,0]]],iE],qar=fc,Iar=[0,[11,"conflict type definition for ",[2,0,0]],"conflict type definition for %s"],Ear=fc,Dar=[0,[11,'cannot open "',[2,0,[12,34,0]]],'cannot open "%s"'],$ar=JU,Tar=$G,Nar=$G,Far=Mv,Uar=[0,0,[0,dn]],Gar=[0,[2,0,[2,0,[4,3,0,0,0]]],"%s%s%i"],Par=[0,bw,Mj,16],Kar=[0,1],Oar=[0,0],Mar=[0,1],Rar=[0,2],Var=[0,yA],Lar=[0,uj],Har=[0,2],Qar=[0,bw,762,19],Car=mc,Sar=[0,bw,1424,4],Zar=[0,bw,1461,18],zar=[0,bw,1493,11],Xar=[0,bw,1508,15],Jar=[0,bw,1519,11],War=[0,bw,1533,15],Yar=[0,bw,1611,2],rfr=[0,bw,1648,23],nfr=[1,0,2],tfr=[0,bw,1688,31],efr=[0,[18,[1,[0,[11,Xr,0],Xr]],[15,[17,0,[17,3,0]]]],"@[%a@]@\n"],ufr=[0,bw,2065,13],afr=[0,[18,[1,[0,[11,eK,0],eK]],[2,0,[12,HA,[17,[0,Nn,0,0],[15,[17,[0,Yo,0,-2],[12,ia,[17,0,0]]]]]]]],"@[%s{@;<0 0>%a@;<0 -2>}@]"],ffr=[0,[18,[1,[0,[11,eK,0],eK]],[12,HA,[17,[0,Nn,0,0],[15,[17,[0,Yo,0,-2],[12,ia,[17,0,0]]]]]]],LT],ifr=[0,[18,[1,[0,[11,eK,0],eK]],[12,HA,[17,[0,Nn,0,0],[15,[17,[0,Yo,0,-2],[12,ia,[17,0,0]]]]]]],LT],cfr=[0,[18,[1,[0,[11,bP,0],bP]],[2,0,[11,Hn,[15,[17,0,0]]]]],"@[<1>%s : %a@]"],ofr=fP,vfr=or,Afr=[0,[11,"??? ",[2,0,[12,32,[4,3,0,0,0]]]],"??? %s %i"],sfr=[0,[18,[1,[0,0,Mv]],[2,0,[12,60,[18,[1,[0,[11,bP,0],bP]],[15,[17,0,[12,62,[17,0,0]]]]]]]],"@[%s<@[<1>%a@]>@]"],bfr=[0,[18,[1,[0,[11,bP,0],bP]],[11,CT,[15,[12,93,[17,0,0]]]]],"@[<1>[var %a]@]"],lfr=[0,[18,[1,[0,[11,bP,0],bP]],[12,91,[15,[12,93,[17,0,0]]]]],"@[<1>[%a]@]"],Bfr=Qd,jfr=Mv,kfr=[0,[18,[1,[0,[11,bP,0],bP]],[12,40,[15,[2,0,[12,41,[17,0,0]]]]]],VT],pfr=[0,[18,[1,[0,[11,bP,0],bP]],[12,40,[2,0,[11,Hn,[15,[12,41,[17,0,0]]]]]]],"@[<1>(%s : %a)@]"],dfr=[0,[18,[1,[0,[11,bP,0],bP]],[12,40,[15,[12,41,[17,0,0]]]]],TB],mfr=[0,[18,[1,[0,[11,bP,0],bP]],[12,63,[15,[17,0,0]]]],Xh],_fr=[0,[18,[1,[0,[11,bP,0],bP]],[11,mR,[15,[17,0,0]]]],Ma],hfr=[0,[18,[1,[0,[11,yv,0],yv]],[11,r$,[2,0,[17,[0,re,1,0],[15,[17,0,0]]]]]],CG],xfr=[0,[18,[1,[0,[11,yv,0],yv]],[11,r$,[2,0,[12,60,[15,[12,62,[17,[0,re,1,0],[15,[17,0,0]]]]]]]]],"@[<2>async%s<%a>@ %a@]"],yfr=[0,[18,[1,[0,[11,yv,0],yv]],[11,r$,[2,0,[17,[0,re,1,0],[15,[17,0,0]]]]]],CG],wfr=[0,[18,[1,[0,[11,bP,0],bP]],[12,40,[15,[12,41,[17,0,0]]]]],TB],gfr=go,qfr=[0,[18,[1,[0,[11,yv,0],yv]],[2,0,[15,[15,[11," ->",[17,[0,re,1,0],[15,[17,0,0]]]]]]]],"@[<2>%s%a%a ->@ %a@]"],Ifr=[0,[18,[1,[0,[11,yv,0],yv]],[11,r$,[2,0,[17,[0,re,1,0],[15,[17,0,0]]]]]],CG],Efr=[0,[18,[1,[0,[11,yv,0],yv]],[11,r$,[17,[0,re,1,0],[15,[17,0,0]]]]],O_],Dfr=[0,[18,[1,[0,[11,yv,0],yv]],[11,"replies",[17,[0,re,1,0],[15,[17,0,0]]]]],"@[<2>replies@ %a@]"],$fr=[0,[18,[1,[0,[11,bP,0],bP]],[11,Ou,[17,[0,re,1,0],[15,[17,0,0]]]]],"@[<1>var@ %a@]"],Tfr=[0,[18,[1,[0,[11,bP,0],bP]],[11,HU,[2,0,[15,[12,32,[2,0,[17,[0,re,1,0],[15,[17,0,0]]]]]]]]],"@[<1>type %s%a %s@ %a@]"],Nfr=[0,[18,[1,[0,[11,yv,0],yv]],[11,YI,[2,0,[11,m$,[17,[0,re,1,0],[15,[17,0,0]]]]]]],"@[<2>var %s :@ %a@]"],Ffr=[0,[18,[1,[0,[11,yv,0],yv]],[2,0,[11,m$,[17,[0,re,1,0],[15,[17,0,0]]]]]],"@[<2>%s :@ %a@]"],Ufr=[0,[18,[1,[0,[11,yv,0],yv]],[11,HU,[2,0,[15,[12,32,[2,0,[17,[0,re,1,0],[15,[17,0,0]]]]]]]]],"@[<2>type %s%a %s@ %a@]"],Gfr=[0,[18,[1,[0,[11,yv,0],yv]],[11,"stable var ",[2,0,[11,m$,[17,[0,re,1,0],[15,[17,0,0]]]]]]],"@[<2>stable var %s :@ %a@]"],Pfr=[0,[18,[1,[0,[11,yv,0],yv]],[11,"stable ",[2,0,[11,m$,[17,[0,re,1,0],[15,[17,0,0]]]]]]],"@[<2>stable %s :@ %a@]"],Kfr=wx,Ofr=WN,Mfr=[0,[18,[1,[0,[11,yv,0],yv]],[2,0,[11," var ",[2,0,[11,m$,[17,[0,re,1,0],[15,[17,0,0]]]]]]]],"@[<2>%s var %s :@ %a@]"],Rfr=[0,[18,[1,[0,[11,yv,0],yv]],[2,0,[12,32,[2,0,[11,m$,[17,[0,re,1,0],[15,[17,0,0]]]]]]]],"@[<2>%s %s :@ %a@]"],Vfr=[0,[12,35,[2,0,0]],ou],Lfr=[0,[18,[1,[0,[11,yv,0],yv]],[12,35,[2,0,[11,m$,[17,[0,re,1,0],[15,[17,0,0]]]]]]],"@[<2>#%s :@ %a@]"],Hfr=[0,[2,0,[11,Uc,[15,0]]],"%s <: %a"],Qfr=[0,[18,[1,[0,[11,bP,0],bP]],[12,60,[15,[12,62,[17,0,0]]]]],"@[<1><%a>@]"],Cfr=ny,Sfr=gT,Zfr=[0,[18,[1,[0,[11,mP,0],mP]],[2,0,[12,HA,[17,[0,Nn,0,0],[15,[17,[0,Yo,0,-2],[12,ia,[17,0,0]]]]]]]],"@[%s{@;<0 0>%a@;<0 -2>}@]"],zfr=[0,[18,[1,[0,[11,mP,0],mP]],[2,0,[11,"({",[17,[0,Nn,0,0],[15,[17,[0,Yo,0,-2],[11,"}, {",[17,[0,Nn,0,0],[15,[17,oS,[11,"}) ",[17,0,0]]]]]]]]]]]],"@[%s({@;<0 0>%a@;<0 -2>}, {@;<0 0>%a@;<0 -2>}) @]"],Xfr=[0,[18,[1,[0,[11,Xr,0],Xr]],[15,[15,[15,[12,59,[17,0,0]]]]]],"@[%a%a%a;@]"],Jfr=[0,[15,[11,Ys,[15,0]]],"%a = %a"],Wfr=fm,Yfr=r$,rir=sr,nir=Rx,tir=xt,eir=ss,uir=vs,air=wx,fir=[0,[11,td,[15,[11,WR,[15,[2,0,0]]]]],lt],iir=wx,cir=[0,[11,td,[15,[11,WR,[15,[2,0,0]]]]],lt],oir=[0,[11,"type variable ",[15,[11,"\n was promoted to its bound ",[15,[11,"\n and ",[2,0,0]]]]]],"type variable %a\n was promoted to its bound %a\n and %s"],vir=tl,Air=[0,[2,0,[11,"case `#",[2,0,[11,Pj,[2,0,[11,HU,[15,[2,0,0]]]]]]]],"%scase `#%s` is missing from %stype %a%s"],sir=KE,bir=wG,lir=tl,Bir=[0,[2,0,[2,0,[11," `",[2,0,[11,Pj,[2,0,[11,HU,[15,[2,0,0]]]]]]]]],"%s%s `%s` is missing from %stype %a%s"],jir=wx,kir=[0,[11,"there are fewer ",[2,0,[11,va,[2,0,0]]]],"there are fewer %s than expected%s"],pir=wx,dir=[0,[11,"there are more ",[2,0,[11,va,[2,0,0]]]],"there are more %s than expected%s"],mir=wx,_ir=[0,[11,"promoting ",[15,[11,"\n to `Any` loses data",[2,0,0]]]],"promoting %a\n to `Any` loses data%s"],hir=wx,xir=[0,[11,td,[15,[11,WR,[15,[2,0,0]]]]],lt],yir=wx,wir=[0,[11,"of incompatible object sorts:\n ",[2,0,[11," does not match ",[2,0,[2,0,0]]]]],"of incompatible object sorts:\n %s does not match %s%s"],gir=wx,qir=[0,[11,"of incompatible function modifiers: ",[2,0,[11,_I,[2,0,[2,0,0]]]]],"of incompatible function modifiers: %s\n does not match %s%s"],Iir=wx,Eir=[0,[11,"of incompatible function controls: ",[2,0,[11,_I,[2,0,[2,0,0]]]]],"of incompatible function controls: %s\n does not match %s%s"],Dir=wx,$ir=[0,[11,"of incompatible function types: ",[15,[11,_I,[15,[2,0,0]]]]],"of incompatible function types: %a\n does not match %a%s"],Tir=wx,Nir=[0,[11,"of incompatible async sorts: ",[2,0,[11,_I,[2,0,[2,0,0]]]]],"of incompatible async sorts: %s\n does not match %s%s"],Fir=wx,Uir=[0,[11,"of incompatible async scopes: ",[15,[11,_I,[15,[2,0,0]]]]],"of incompatible async scopes: %a\n does not match %a%s"],Gir=Mv,Pir=[0,[2,0,[11," (used by ",[2,0,[12,41,0]]]],"%s (used by %s)"],Kir=[0,[2,0,[12,32,[2,0,[12,32,[2,0,0]]]]],"%s %s %s"],Oir=lB,Mir=[0,mc,tl],Rir=[0,"arguments",tl],Vir=[0,"results",tl],Lir=wx,Hir=[0,[12,96,[2,0,[12,96,0]]],bG],Qir=wx,Cir=[0,[11,"`(",[2,0,[11," : _)`",0]]],"`(%s : _)`"],Sir=tl,Zir=[0,[12,96,[2,0,[12,96,0]]],bG],zir=wx,Xir=[0,[12,96,[2,0,[12,96,0]]],bG],Jir=Mv,Wir=[0,[2,0,0],d_],Yir=[0,[2,0,[2,0,[4,0,0,0,0]]],"%s%s%d"],rcr=[0,[12,59,[17,[0,re,1,0],0]],";@ "],ncr=[0,[12,44,[17,[0,re,1,0],0]],",@ "],tcr=[0,[11,Ml,[17,[0,re,1,0],0]],"...@ "],ecr=Mv,ucr=Mv,acr=FT,fcr=BI,icr=Hf,ccr=p_,ocr=Dp,vcr=fM,Acr=q$,scr=kw,bcr=ZF,lcr=r_,Bcr=ER,jcr=dv,kcr=KD,pcr=XK,dcr=nb,mcr=PU,_cr=wK,hcr=Pv,xcr=mw,ycr=bD,wcr=Mv,gcr=Mv,qcr=[0,bw,984,21],Icr=[0,bw,967,23],Ecr=[0,bw,930,23],Dcr=[0,bw,855,23],$cr="lookup_typ_deprecation",Tcr="lookup_typ_field",Ncr=[0,0,1],Fcr=[0,0,0],Ucr=[0,"X",1,0],Gcr=yI,Pcr=Tp,Kcr=Ws,Ocr=jt,Mcr=Z$,Rcr=GP,Vcr=ix,Lcr=[0,bw,592,2],Hcr=[1,0,2],Qcr=zp,Ccr=[7,0],Scr=[2,14],Zcr=qi,zcr=Up,Xcr=Rl,Jcr=zG,Wcr=bK,Ycr=aI,ror=wh,nor=IB,tor=pK,eor=zr,uor=rb,aor=bT,ior=Ga,cor=pP,oor=uU,vor=L$,Aor=XD,sor=Wb,bor=mn,lor=jx,Bor=dy,jor=ry,kor=Pr,por=Fh,dor=vn,mor=Es,_or=RU,hor=Hh,xor=RU,yor=Hh,wor=[0,VE,gN,27],gor=Ur,qor=Mv,Ior=[0,[0,0,gU],0],Eor=[0,[0,0,Qa],0],Dor=[0,VE,Hd,11],$or=[0,VE,BT,13],Tor=Du,Nor=Iv,For=[0,1,"V"],Uor=[0,1,Iv],Gor=[0,1,uN],Por=[0,2,Mv],Kor=[0,[0,0,"u"],0],Oor=Mv,Mor=Du,Ror=hs,Vor=Mv,Lor=[0,1,Qg],Hor=[0,1,"w"],Qor=Mv,Cor=[0,VE,qG,4],Sor=[0,VE,zb,4],Zor=Qd,zor=Mv,Xor=vM,Jor=nq,Wor=ND,Yor=Rt,rvr=[0,Kd,41,12],nvr=[0,Kd,30,6],tvr=[0,Kd,64,19],evr=Hh,uvr=[0,[11,HU,[2,0,[2,0,[12,32,[2,0,[12,32,[2,0,0]]]]]]],"type %s%s %s %s"],avr=Qd,fvr=[0,[2,0,[12,60,[2,0,[12,62,0]]]],Yi],ivr=Mv,cvr=[0,[11,":\n ",[2,0,[11,"\nis expansive, because ",[2,0,[11," occurs as an indirect argument of recursive type ",[2,0,[11,".\n(",[2,0,[11," would be allowed as an immediate argument, but cannot be part of a larger type expression.)",[2,0,0]]]]]]]]]],":\n %s\nis expansive, because %s occurs as an indirect argument of recursive type %s.\n(%s would be allowed as an immediate argument, but cannot be part of a larger type 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0x",[4,6,0,0,[11,_A,[4,6,0,0,[11,zx,[4,6,0,0,[11,Mr,0]]]]]]],"attr: 0x%x = a: 0x%x (in TAG 0x%x)\n"],a_r=[0,Ca,In,12],f_r=$u,i_r=[0,[11,"DATA1 attr: 0x",[4,6,0,0,[11,_A,[4,6,0,0,[11,zx,[4,6,0,0,[11,") PATH: ",[2,0,[11," ULT: (",[2,0,VS]]]]]]]]]],"DATA1 attr: 0x%x = a: 0x%x (in TAG 0x%x) PATH: %s ULT: (%s, %d)\n"],c_r=[0,Ca,Ua,12],o_r=[0,Ca,1060,45],v_r=[0,Ca,1033,18],A_r=[0,Ca,iv,6],s_r=$u,b_r=SH([0,1,1,1,1,0,0,0,1,0,0,1]),l_r=[0,[1,0,0,0],0],B_r=[0,Ca,980,12],j_r=[0,Ca,935,8],k_r=[0,Ca,El,57],p_r=Qd,d_r=Cx,m_r=RO,__r=wj,h_r=Hj,x_r=t_,y_r=YA,w_r=Mh,g_r=hU,q_r=Qc,I_r=[0,Ca,793,54],E_r=[0,Ca,786,45],D_r=[0,Ca,784,16],$_r=[0,Ca,kc,6],T_r=YV(_e,xq,0),N_r=YV(_e,xq,0),F_r=[0,Ca,q_,13],U_r=[0,Ca,Ph,25],G_r=[0,[1,0,0,0],0],P_r=zd,K_r=nN,O_r=$u,M_r=dn,R_r=Mv,V_r=jj,L_r=[0,EN,[0,Oe,3]],H_r=qM,Q_r=YR,C_r=qM,S_r=YR,Z_r=YV(gN,0,0),z_r=YV(_e,_e,jl),X_r=[0,5],J_r=k_,W_r=k_,Y_r=[0,Ci,804,6],rhr=[0,Ci,800,6],nhr=[0,Ci,808,2],thr=Cx,ehr=RO,uhr=wj,ahr=Hj,fhr=t_,ihr=YA,chr=Bg,ohr=Mh,vhr=[0,[11,"unknown motoko section subsection id ",[4,0,0,0,0]],"unknown motoko section subsection id %d"],Ahr=Qc,shr=[0,[11,"unknown name section subsection id ",[4,0,0,0,0]],"unknown name section subsection id %d"],bhr=Vy,lhr=[0,1],Bhr=[0,0],jhr=Vy,khr=YV(0,yA,0),phr=YV(0,0,0),dhr=[1,0],mhr=Bg,_hr=[0,[4,6,[0,2,2],0,0],"%02x"],hhr=RO,xhr=wj,yhr=t_,whr=[0,lF,Ik,25],ghr=[0,lF,iw,18],qhr=[0,[4,0,0,0,[11,AT,0]],"%d: "],Ihr=[0,[11,"Candidate #",[4,0,0,0,[12,10,0]]],"Candidate #%d\n"],Ehr=[0,"mo_frontend/variance.ml",52,23],Dhr=Zl,$hr=[0,[12,96,[2,0,[11,"` cannot be inferred.",0]]],"`%s` cannot be inferred."],Thr=[0,m,600,4],Nhr=[0,m,607,4],Fhr=[0,0,0],Uhr=[0,[2,0,[11," := ",[2,0,0]]],"%s := %s"],Ghr=[0,0,0],Phr=tc,Khr=[0,[11,"bug: inferred bad instantiation\n <",[2,0,[11,">\nplease report this error message and, for now, supply an explicit instantiation instead",0]]],"bug: inferred bad instantiation\n <%s>\nplease report this error message and, for now, supply an explicit instantiation instead"],Ohr=gT,Mhr=[0,[15,[11," (for the expected return type) ",0]],"%a (for the expected return type) "],Rhr=gT,Vhr=[0,[15,[11," (for argument `",[2,0,[11,"`) ",0]]]],"%a (for argument `%s`) "],Lhr=gT,Hhr=[0,[15,0],b],Qhr=[0,[11,"there is no way to satisfy subtyping",[2,0,0]],"there is no way to satisfy subtyping%s"],Chr=tc,Shr=[0,[11,"Hint: Add explicit type instantiation, e.g. <",[2,0,[12,62,0]]],"Hint: Add explicit type instantiation, e.g. <%s>"],Zhr=[0,m,WU,17],zhr=[0,m,wi,6],Xhr=[0,m,oT,6],Jhr=[0,m,292,6],Whr=[0,m,$e,8],Yhr=[0,m,$g,8],rxr=[0,m,206,6],nxr=[0,m,209,6],txr=[0,[11,"bug: impossible over-constrained type parameter `",[2,0,[11,"` with",[15,[11,"\nwhere",[15,[11,"\nPlease report this bug and supply an explicit instantiation instead.",0]]]]]]],"bug: impossible over-constrained type parameter `%s` with%a\nwhere%a\nPlease report this bug and supply an explicit instantiation instead."],exr=Mv,uxr=hs,axr=Mv,fxr=Zl,ixr=[0,[11,'there is no "best" choice for type parameter',[2,0,[11," `",[2,0,[11,"`.",0]]]]],'there is no "best" choice for type parameter%s `%s`.'],cxr=[0,[11,"type parameter `",[2,0,[11,"` has a bound ",[15,[11,"\ninvolving another type parameter. Please provide an explicit instantiation.",0]]]]],"type parameter `%s` has a bound %a\ninvolving another type parameter. Please provide an explicit instantiation."],oxr=[0,m,AG,9],vxr=[0,m,BT,9],Axr=[0,0,0],sxr=ko,bxr=[0,[18,[1,[0,[11,eK,0],eK]],[15,[11,aU,[17,[0,re,1,0],[18,[1,[0,[11,eK,0],eK]],[2,0,[11,aU,[17,[0,re,1,0],[15,[17,0,[17,0,0]]]]]]]]]]],"@[%a <: @ @[%s <: @ %a@]@]"],lxr=[0,[18,[1,[0,[11,eK,0],eK]],[15,[11,eE,[2,0,[12,32,[17,[0,re,1,0],[15,[17,0,0]]]]]]]],"@[%a %s @ %a@]"],Bxr=[0,0,0],jxr=[0,0,0],kxr=[0,[4,0],0],pxr=[0,0,0],dxr=[0,Xi,fO,10],mxr=[0,0,0],_xr=Hh,hxr=tc,xxr=JM,yxr=[0,Xi,Sp,2],wxr=Zt,gxr=[0,0],qxr=[0,Xi,213,13],Ixr=[0,Xi,$I,13],Exr=[0,0],Dxr=[0,Xi,e$,13],$xr=[0,Xi,tI,11],Txr=[0,Xi,iw,4],Nxr=[0,Xi,sK,4],Fxr=[0,0],Uxr=[0,0],Gxr=[11,0],Pxr=[0,Xi,Zm,16],Kxr=[0,0],Oxr=[0,0],Mxr=[0,0],Rxr=lB,Vxr=lB,Lxr=[0,[11,Zn,[2,0,0]],"mo:%s"],Hxr=[0,[11,Zn,[2,0,[12,47,[2,0,0]]]],"mo:%s/%s"],Qxr=[0,[11," after adding `import ",[2,0,[11,' = "mo:',[2,0,[12,47,[2,0,[11,'"`',0]]]]]]],' after adding `import %s = "mo:%s/%s"`'],Cxr=F_,Sxr=Mv,Zxr=Mv,zxr=qD,Xxr=[0,[11,"\nMaybe try conversion:\n ",[2,0,[12,63,0]]],"\nMaybe try conversion:\n %s?"],Jxr=Mv,Wxr=[0,[12,96,[2,0,[12,46,[2,0,[11,"(_)`",[2,0,0]]]]]],"`%s.%s(_)`%s"],Yxr=[0,[11,"The ",[2,0,[12,32,[2,0,[11," is not available. Try something else?",0]]]]],"The %s %s is not available. Try something else?"],ryr=Zt,nyr=tc,tyr=[0,[11,"help: did you mean ",[2,0,[12,32,[2,0,[12,63,0]]]]],"help: did you mean %s %s?"],eyr=Mv,uyr=[0,[11,"expected module, object, or actor type, but path expression produces type",[15,0]],"expected module, object, or actor type, but path expression produces type%a"],ayr=[0,[11,"cannot infer type of forward variable reference ",[2,0,0]],"cannot infer type of forward variable reference %s"],fyr=[0,[11,"unavailable variable ",[2,0,0]],"unavailable variable %s"],iyr=[0,[11,Uh,[2,0,[15,0]]],Q_],cyr=zT,oyr=[0,[11,UA,[2,0,[11,vG,[15,0]]]],B$],vyr=wG,Ayr=[0,[11,yG,[2,0,0]],rN],syr=[0,[11,"unbound type ",[2,0,[15,0]]],"unbound type %s%a"],byr="M0029",lyr=lB,Byr=[0,[11,"type field ",[2,0,[11,vG,[15,0]]]],"type field %s does not exist in %a"],jyr="M0030",kyr=KE,pyr=KE,dyr=[0,[11,Al,[15,0]],RE],myr=OG,_yr=[0,[11,Mq,0],Mq],hyr="M0040",xyr=wG,yyr=as,wyr=KE,gyr=as,qyr=T,Iyr="variant type",Eyr=[0,[11,fy,[15,0]],mu],Dyr=cd,$yr=[0,1],Tyr=[0,[11,aB,[15,0]],Qm],Nyr=JB,Fyr=[0,[11,"async has non-shared content type",[15,0]],"async has non-shared content type%a"],Uyr=iU,Gyr=[0,[11,ki,0],ki],Pyr=AF,Kyr=[0,[11,"this intersection results in type",[15,[11,JK,[15,[11,yc,[15,0]]]]]],"this intersection results in type%a\nbecause operand types are inconsistent,\nleft operand is%a\nright operand is%a"],Oyr=kT,Myr=[0,[11,IG,0],IG],Ryr=AF,Vyr=[0,[11,"this union results in type",[15,[11,JK,[15,[11,yc,[15,0]]]]]],"this union results in type%a\nbecause operand types are inconsistent,\nleft operand is%a\nright operand is%a"],Lyr=Ze,Hyr=[0,[11,S,[2,0,[11," must have shared function type, but has type\n ",[2,0,0]]]],"actor field %s must have shared function type, but has type\n %s"],Qyr=Uc,Cyr=[0,[11,Qw,[2,0,[11,Ft,[2,0,0]]]],Wy],Syr=[0,kq,992,26],Zyr=[0,kq,1020,12],zyr=[0,[11,"duplicate type name ",[2,0,[11," in type parameter list",0]]],"duplicate type name %s in type parameter list"],Xyr=[1,0,2],Jyr=[0,kq,qR,9],Wyr=[0,[11,"type argument",[15,[11,"\ndoes not match parameter bound",[15,0]]]],"type argument%a\ndoes not match parameter bound%a"],Yyr=[0,kq,v$,12],rwr=[0,[11,"wrong number of type arguments: expected ",[4,0,0,0,[11,Xc,[4,0,0,0,0]]]],"wrong number of type arguments: expected %d but got %d"],nwr=tc,twr=[0,[11,"block contains non-productive definition",[2,0,[12,32,[2,0,0]]]],"block contains non-productive definition%s %s"],ewr=[0,[11,"block contains expansive type definitions",[2,0,0]],"block contains expansive type definitions%s"],uwr=[0,kq,Wq,4],awr=[0,[11,ic,0],ic],fwr=[0,0],iwr=[0,1],cwr=[0,2],owr=[0,[11,eg,0],eg],vwr=[0,[11,oR,0],oR],Awr=[0,[11,_g,0],_g],swr=[0,[11,sf,0],sf],bwr=[0,kq,1115,4],lwr=[0,[11,"cannot infer type of expression while trying to infer surrounding class type,\nbecause its type is a forward reference to type",[15,0]],"cannot infer type of expression while trying to infer surrounding class type,\nbecause its type is a forward reference to type%a"],Bwr=[0,kq,1776,2],jwr=[0,kq,1778,2],kwr=[0,kq,1782,4],pwr=[0,[11,Al,[15,0]],RE],dwr=OG,mwr=[0,[11,k$,0],k$],_wr=[0,[11,Bi,0],Bi],hwr=[0,[11,"cannot infer type of forward variable ",[2,0,0]],"cannot infer type of forward variable %s"],xwr=[0,[11,Iu,[2,0,[11," is in scope but not available in compiled code",0]]],"variable %s is in scope but not available in compiled code"],ywr=[0,1,0],wwr=[0,0,0],gwr=[0,[11,Uh,[2,0,[15,0]]],Q_],qwr=vr,Iwr=Zt,Ewr=[0,[11,"help: Did you mean to import ",[2,0,[12,63,0]]],"help: Did you mean to import %s?"],Dwr=[0,[11,Uh,[2,0,[15,0]]],Q_],$wr=vr,Twr=zT,Nwr=[0,[11,uv,0],uv],Fwr=[0,kq,1849,6],Uwr=[0,[11,tE,[15,0]],nd],Gwr=tB,Pwr=[0,kq,1860,6],Kwr=[0,[11,ev,[15,0]],zU],Owr=oM,Mwr=[0,kq,1871,6],Rwr=[0,[11,"comparing abstract type",[15,[11,"\nto itself at supertype",[15,0]]]],"comparing abstract type%a\nto itself at supertype%a"],Vwr=LU,Lwr=[0,[11,"comparing incompatible types",[15,[11,ly,[15,[11,"\nat common supertype",[15,0]]]]]],"comparing incompatible types%a\nand%a\nat common supertype%a"],Hwr=qm,Qwr=[0,[11,_u,[15,0]],"show is not defined for operand type%a"],Cwr=[0,[11,QN,[15,0]],VD],Swr=[2,16],Zwr=[0,[11,jg,0],jg],zwr=[0,[11,Zp,[21,1,[11," is out of bounds for type",[15,0]]]],"tuple projection %n is out of bounds for type%a"],Xwr=[0,[11,"expected tuple type, but expression produces type",[15,0]],"expected tuple type, but expression produces type%a"],Jwr=[2,0],Wwr=Ur,Ywr=Ur,rgr=[0,[11,OK,0],OK],ngr=XU,tgr=[0,[11,"expected option type before '!', but expression produces type",[15,0]],"expected option type before '!', but expression produces type%a"],egr=[0,[11,uR,0],uR],ugr=[0,3,[0,0,0]],agr=[0,[11,CP,0],CP],fgr=[0,1,[0,2,0]],igr=[0,[11,"body of type",[15,[11,ui,[15,[15,0]]]]],"body of type%a\ndoes not match expected type%a%a"],cgr=Mv,ogr=[0,[11,wg,0],wg],vgr=[0,[11,"this array has type",[15,[11,"\nbecause elements have inconsistent types",0]]],"this array has type%a\nbecause elements have inconsistent types"],Agr=uT,sgr=[2,3],bgr=[0,[11,"expected array type or Blob, but expression produces type",[15,0]],"expected array type or Blob, but expression produces type%a"],lgr=[0,[11,qu,0],qu],Bgr=[0,3,[0,0,0]],jgr=[0,[11,w,0],w],kgr=Ru,pgr=[0,1,[0,2,0]],dgr=[0,[11,gg,0],gg],mgr=h_,_gr=[6,0],hgr=[0,[11,AM,0],AM],xgr=[0,[11,fy,[15,0]],mu],ygr=cd,wgr=[0,1],ggr=[0,[11,dG,0],dG],qgr=[0,[11,sB,0],sB],Igr=[0,[11,aB,[15,0]],Qm],Egr=JB,Dgr=[0,[11,"this if has type",[15,[11,"\nbecause branches have inconsistent types,\ntrue produces",[15,[11,"\nfalse produces",[15,0]]]]]],"this if has type%a\nbecause branches have inconsistent types,\ntrue produces%a\nfalse produces%a"],$gr=jG,Tgr=gR,Ngr=[0,zp,0],Fgr=zp,Ugr=Mv,Ggr=[0,[11,"expected iterable type, but expression has type",[15,0]],"expected iterable type, but expression has type%a"],Pgr=vj,Kgr=[0,[11,wn,0],wn],Ogr=lR,Mgr=[0,[11,Wn,[2,0,[15,0]]],"unbound label %s%a"],Rgr=Si,Vgr=bx,Lgr=od,Hgr=[0,[2,0,[11," outside of loop",0]],"%s outside of loop"],Qgr=lR,Cgr=[0,[11,em,0],em],Sgr=[0,[11,Xv,0],Xv],Zgr=[0,[11,su,0],su],zgr=Vh,Xgr=[0,3,[0,0,0]],Jgr=zA,Wgr=[0,2],Ygr=[0,[11,"async type has non-shared content type",[15,0]],"async type has non-shared content type%a"],rqr=iU,nqr=[0,[11,"ill-scoped await: expected async type from current scope ",[15,[11,", found async type from other scope ",[15,[15,[15,0]]]]]],"ill-scoped await: expected async type from current scope %a, found async type from other scope %a%a%a"],tqr=Mv,eqr=Mv,uqr=[0,[11,"expected async",[2,0,[11," type, but expression has type",[15,[2,0,0]]]]],"expected async%s type, but expression has type%a%s"],aqr=up,fqr=PN,iqr=tM,cqr=[0,[11,dl,0],dl],oqr=po,vqr=[0,[11,J,0],J],Aqr=st,sqr=wG,bqr=[0,[11,UA,[2,0,[11,vG,[15,0]]]],B$],lqr=[0,[11,UA,[2,0,[11," does exist in ",[15,[11,"\nbut is not ",[2,0,[12,46,0]]]]]]],"field %s does exist in %a\nbut is not %s."],Bqr=wG,jqr=[0,[11,cU,[15,0]],Wc],kqr=[0,[11,yG,[2,0,0]],rN],pqr=wG,dqr=[0,[11,yo,0],yo],mqr=[0,[11,"ambiguous type field in base",[15,0]],"ambiguous type field in base%a"],_qr=Cg,hqr=[0,[11,dr,0],dr],xqr=[0,[11,"base has non-aliasable var field",[15,0]],"base has non-aliasable var field%a"],yqr=[0,[11,k,0],k],wqr=[0,[11,"ambiguous field in base",[15,0]],"ambiguous field in base%a"],gqr=Cg,qqr=[0,[11,cU,[15,0]],Wc],Iqr=[0,[11,sn,0],sn],Eqr=wG,Dqr=sr,$qr=[3,0,0,0],Tqr=[0,kq,2450,2],Nqr=[0,kq,2451,2],Fqr=[0,kq,2452,2],Uqr=[0,[11,sx,[15,[11,BU,[15,[15,0]]]]],"expression of type%a\ncannot produce expected type%a%a"],Gqr=uy,Pqr=[0,[11,"function return type",[15,[11,"\ndoes not match expected return type",[15,[15,0]]]]],"function return type%a\ndoes not match expected return type%a%a"],Kqr="M0095",Oqr=[0,[12,39,[2,0,[12,39,0]]],"'%s'"],Mqr=Zt,Rqr=[0,[11,"Did you mean to explicitly use ",[2,0,[12,63,0]]],"Did you mean to explicitly use %s?"],Vqr=[0,[11,"If you're trying to omit an implicit argument named ",[2,0,[11," you need to have a matching declaration named ",[2,0,[11," in scope.",0]]]]],"If you're trying to omit an implicit argument named %s you need to have a matching declaration named %s in scope."],Lqr=Zt,Hqr=[0,[11,"Did you mean to import ",[2,0,[12,63,0]]],"Did you mean to import %s?"],Qqr=[0,[11,"Cannot determine implicit argument ",[2,0,[11,yU,[15,0]]]],"Cannot determine implicit argument %s of type%a"],Cqr="M0230",Sqr=[0,[11,xw,0],xw],Zqr="M0090",zqr=[0,[11,ev,[15,0]],zU],Xqr=oM,Jqr=[2,16],Wqr=[0,[11,"to_candid produces a Blob that is not a subtype of",[15,0]],"to_candid produces a Blob that is not a subtype of%a"],Yqr="M0172",rIr=[0,[11,QN,[15,0]],VD],nIr="M0173",tIr=[2,16],eIr=[2,16],uIr=[0,[11,"from_candid produces an optional shared type, not type",[15,0]],"from_candid produces an optional shared type, not type%a"],aIr="M0174",fIr=[2,0],iIr=Ur,cIr=Ur,oIr=[0,[11,OK,0],OK],vIr=XU,AIr=Mv,sIr=hs,bIr=tc,lIr=[0,[11,"missing field",[2,0,[12,32,[2,0,[11," from expected type",[15,0]]]]]],"missing field%s %s from expected type%a"],BIr="M0151",jIr=Mv,kIr=[0,[2,0,[11,"mutable array expression cannot produce expected type",[15,0]]],"%smutable array expression cannot produce expected type%a"],pIr="M0091",dIr=gR,mIr=[0,[11,su,0],su],_Ir=Vh,hIr=[0,3,[0,0,0]],xIr=zA,yIr="Use keyword 'async' (not 'async*') to produce the expected type.",wIr="Use keyword 'async*' (not 'async') to produce the expected type.",gIr=[0,[11,"async expression cannot produce expected async type ",[15,[11,Sg,[2,0,0]]]],"async expression cannot produce expected async type %a.\n%s"],qIr="M0183",IIr=[0,[11,"async at scope",[15,[11,"\ncannot produce expected scope",[15,[15,[15,0]]]]]],"async at scope%a\ncannot produce expected scope%a%a%a"],EIr="M0092",DIr=PN,$Ir=tM,TIr=[0,[11,sx,[15,[11,BU,[15,[15,[2,0,0]]]]]],"expression of type%a\ncannot produce expected type%a%a%s"],NIr=uy,FIr=[0,[11,"expected mutable 'var' field ",[2,0,[11,yU,[15,[11,"\nbut found immutable field (insert 'var'?)",0]]]]],"expected mutable 'var' field %s of type%a\nbut found immutable field (insert 'var'?)"],UIr=[0,[11,"expected immutable field ",[2,0,[11,yU,[15,[11,"\nbut found mutable 'var' field (delete 'var'?)",0]]]]],"expected immutable field %s of type%a\nbut found mutable 'var' field (delete 'var'?)"],GIr=[0,kq,2723,35],PIr=[0,[11,w,0],w],KIr=Ru,OIr=[0,1,[0,2,0]],MIr=ST,RIr=Mv,VIr=ST,LIr=Mv,HIr=[0,[2,0,[11,"shared function does not match expected ",[2,0,[11,"shared function type",0]]]],"%sshared function does not match expected %sshared function type"],QIr=Mv,CIr=[0,[11,"field `",[2,0,[11,"` is provided but not expected in record",[2,0,[11,yU,[15,0]]]]]],"field `%s` is provided but not expected in record%s of type%a"],SIr=yi,ZIr=[0,[11,"public type `",[2,0,[11,gE,[15,0]]]],"public type `%s` is provided but not expected in object of type%a"],zIr=yi,XIr=[0,[11,"public field `",[2,0,[11,gE,[15,0]]]],"public field `%s` is provided but not expected in object of type%a"],JIr=yi,WIr=[0,kq,2762,24],YIr=[0,kq,2748,24],rEr=[0,1,0],nEr=Zt,tEr=[0,[11,"\nHint: Did you mean to import ",[2,0,[12,63,0]]],"\nHint: Did you mean to import %s?"],eEr=[1,"hole"],uEr=[0,[11,"The `",[2,0,[11,"` argument can be inferred and omitted here (the function parameter is `implicit`).",0]]],"The `%s` argument can be inferred and omitted here (the function parameter is `implicit`)."],aEr=Mf,fEr=Mv,iEr=Mf,cEr=[0,[11,"expected function type, but expression produces type",[15,0]],"expected function type, but expression produces type%a"],oEr=[0,[11,jU,0],jU],vEr=[0,kq,2929,14],AEr=pO,sEr=[0,[11,Fn,0],Fn],bEr=pO,lEr=Mv,BEr=[0,[11,"shared function argument contains abstract type",[15,0]],"shared function argument contains abstract type%a"],jEr=[0,[11,"shared function call result contains abstract type",[15,0]],"shared function call result contains abstract type%a"],kEr=[0,[11,wN,0],wN],pEr=Mv,dEr=[0,[11,"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)",0]]],"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)"],mEr=gx,_Er=[0,[11,"wrong number of arguments: expected ",[4,0,0,0,[11,Xc,[4,0,0,0,[12,10,[15,[12,10,[15,0]]]]]]]],"wrong number of arguments: expected %d but got %d\n%a\n%a"],hEr=[0,[11,sx,[15,[11,BU,[15,0]]]],qK],xEr=uy,yEr=[0,kq,3122,10],wEr=[0,[11,"function `.",[2,0,[12,96,0]]],"function `.%s`"],gEr=Gf,qEr=[0,[12,10,[2,0,0]],"\n%s"],IEr=Mv,EEr=[0,[11,"cannot apply ",[2,0,[11,yU,[15,[11,"\nto argument of type",[15,[11,jv,[2,0,[2,0,0]]]]]]]]],"cannot apply %s of type%a\nto argument of type%a\nbecause %s%s"],DEr=[0,kq,3214,2],$Er=[0,[11,"the switch has type",[15,[11,"\nbecause branches have inconsistent types,\nthis case produces type",[15,[11,"\nthe previous produce type",[15,0]]]]]],"the switch has type%a\nbecause branches have inconsistent types,\nthis case produces type%a\nthe previous produce type%a"],TEr=ZE,NEr=[0,kq,3276,2],FEr=[0,[11,Bf,0],Bf],UEr=[0,[11,Bt,0],Bt],GEr=[0,[11,tE,[15,0]],nd],PEr=tB,KEr=[0,[11,OO,0],OO],OEr=[0,[11,Mp,[2,0,[11,kd,0]]],wl],MEr=ir,REr=[0,[11,Mp,[2,0,[11,kd,0]]],wl],VEr=ir,LEr=[0,[11,A,0],A],HEr=bR,QEr=[0,[11,W_,0],W_],CEr=[0,3,[0,0,0]],SEr=[0,[11,qo,0],qo],ZEr=[0,[11,fp,0],fp],zEr=[0,3,[0,0,0]],XEr=[0,[11,mN,0],mN],JEr=[0,kq,3380,19],WEr=[0,kq,3393,2],YEr=[0,[11,"this expression has type `",[15,[12,96,0]]],"this expression has type `%a`"],rDr=[0,kq,3405,2],nDr=[0,[11,"literal pattern cannot consume expected type",[15,0]],"literal pattern cannot consume expected type%a"],tDr="M0110",eDr=[0,[11,"operator pattern cannot consume expected type",[15,0]],"operator pattern cannot consume expected type%a"],uDr="M0111",aDr=Hh,fDr=Mv,iDr=[0,[11,dA,[15,[11,"`, got `(",[2,0,[11,")`",0]]]]],"expected `%a`, got `(%s)`"],cDr=[0,[11,FA,0],FA],oDr="M0112",vDr=[0,[11,dA,[15,[11,"`, got object type",0]]],"expected `%a`, got object type"],ADr=[0,[11,Nj,0],Nj],sDr="M0113",bDr=[0,[11,"object pattern cannot consume values from actor type",[15,0]],"object pattern cannot consume values from actor type%a"],lDr="M0114",BDr=[0,[11,dA,[15,[11,"`, got `?_`",0]]],"expected `%a`, got `?_`"],jDr=[0,[11,uw,0],uw],kDr="M0115",pDr=[0,[11,dA,[15,[11,"`, got `{#",[2,0,[11," : _}`",0]]]]],"expected `%a`, got `{#%s : _}`"],dDr=[0,[11,Co,0],Co],mDr="M0116",_Dr=[0,[11,Ss,0],Ss],hDr=Il,xDr=[0,[11,"pattern of type",[15,[11,"\ncannot consume expected type",[15,0]]]],"pattern of type%a\ncannot consume expected type%a"],yDr="M0117",wDr=[0,[11,Mp,[2,0,[11,kd,0]]],wl],gDr=ir,qDr=[0,[11,hd,[4,3,0,0,[11,lw,[4,3,0,0,0]]]],gf],IDr=Of,EDr=[0,[11,"duplicate field ",[2,0,[11,cD,0]]],"duplicate field %s in object pattern"],DDr=Rg,$Dr=[0,[11,"object field ",[2,0,[11,gv,[15,0]]]],"object field %s is not contained in expected type%a"],TDr=iI,NDr=[0,[11,"cannot pattern match mutable field ",[2,0,0]],"cannot pattern match mutable field %s"],FDr="M0120",UDr=wG,GDr=[0,[11,Mp,[2,0,[11,kd,0]]],wl],PDr=ir,KDr=[0,[11,A,0],A],ODr=bR,MDr=Mv,RDr=[0,[11,"mismatched types for type ",[2,0,[11," in patterns",0]]],"mismatched types for type %s in patterns"],VDr=Il,LDr=[0,[11,ed,0],ed],HDr=Il,QDr=[0,[11,ql,[2,0,[11,kd,0]]],"duplicate binding for type %s in pattern"],CDr=ir,SDr=[0,[11,hd,[4,3,0,0,[11,lw,[4,3,0,0,0]]]],gf],ZDr=Of,zDr=[0,[11,"object type field ",[2,0,[11,gv,[15,0]]]],"object type field %s is not contained in expected type%a"],XDr=iI,JDr=[0,[11,"duplicate type field ",[2,0,[11,cD,0]]],"duplicate type field %s in object pattern"],WDr=Rg,YDr=[0,[11,"duplicate type binding for ",[2,0,[11,kd,0]]],"duplicate type binding for %s in pattern"],r$r=ir,n$r=Mv,t$r=[0,[11,kv,[2,0,[11,kp,[2,0,[11,Ow,[2,0,[11,"object type have colliding hashes",0]]]]]]],"field names %s and %s in %sobject type have colliding hashes"],e$r=[0,[11,eD,0],eD],u$r=[0,1,[0,2,0]],a$r=[0,[11,iN,0],iN],f$r=[0,[11,"public actor field ",[2,0,[11," has non-shared function type",[15,0]]]],"public actor field %s has non-shared function type%a"],i$r=[0,[11,UA,[2,0,[11," in parenthetical is declared with type",[15,[11,zM,[15,0]]]]]],"field %s in parenthetical is declared with type%a\ninstead of expected type%a"],c$r=[0,kq,3855,39],o$r=[0,[11,DU,0],DU],v$r=Kt,A$r=[0,[11,Xg,0],Xg],s$r=Kt,b$r=[0,kq,3858,25],l$r=[0,[11,La,0],La],B$r=Qn,j$r=[0,[11,Ny,[2,0,[11," in parenthetical",0]]],"unrecognised attribute %s in parenthetical"],k$r=wa,p$r=[0,[11,"system function ",[2,0,[11," is declared with type",[15,[11,zM,[15,0]]]]]],"system function %s is declared with type%a\ninstead of expected type%a"],d$r=[0,[11,FG,0],FG],m$r=[0,[11,Tj,0],Tj],_$r=SR,h$r=Zt,x$r=[0,[11,"unexpected system method named ",[2,0,[11,", expected ",[2,0,0]]]],"unexpected system method named %s, expected %s"],y$r=[0,[11,JF,0],JF],w$r=[0,[11,WM,0],WM],g$r=[0,[11,WF,[2,0,[11,wv,[15,[11,"\nbut does not produce it, yet the field is declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it, yet the field is declared in the actor.\n%s\n%s"],q$r=$q,I$r=[0,[11,WF,[2,0,[11,wv,[15,[11,"\nbut does not produce it. The field is not declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it. The field is not declared in the actor.\n%s\n%s"],E$r=IR,D$r=[0,[11,"migration expression produces unexpected field `",[2,0,[11,wv,[15,[12,10,[2,0,0]]]]]],"migration expression produces unexpected field `%s` of type%a\n%s"],$$r=wG,T$r=[0,[11,"migration expression produces field `",[2,0,[11,wv,[15,[11,"\n, not the expected type",[15,[15,0]]]]]]],"migration expression produces field `%s` of type%a\n, not the expected type%a%a"],N$r=[0,[11,"expected stable type, but migration expression ",[2,0,[11," non-stable type",[15,0]]]],"expected stable type, but migration expression %s non-stable type%a"],F$r=[0,[11,"expected object type, but migration expression ",[2,0,[11," non-object type",[15,0]]]],"expected object type, but migration expression %s non-object type%a"],U$r=Mv,G$r=[0,[11,"expected expression with field `migration`, but expression has type",[15,0]],"expected expression with field `migration`, but expression has type%a"],P$r=Mv,K$r=[0,[11,"expected non-generic, local function type, but migration expression produces type",[15,0]],"expected non-generic, local function type, but migration expression produces type%a"],O$r=PM,M$r=[0,kq,4044,23],R$r=[0,[11,Ny,[2,0,[11," in parenthetical note",0]]],"unrecognised attribute %s in parenthetical note"],V$r=wa,L$r=[0,[11,Zr,0],Zr],H$r=[0,[11,HT,0],HT],Q$r=Rw,C$r=[0,[11,aR,0],aR],S$r=HK,Z$r=[0,[11,$,0],$],z$r=[0,[11,mv,0],mv],X$r=[0,[11,f,0],f],J$r=[0,[11,Iu,[2,0,[11,CR,[15,0]]]],zP],W$r=rD,Y$r=[0,kq,4085,14],rTr=PM,nTr=Ou,tTr=rM,eTr=[0,[11,"Avoid binding a unit `()` result; remove `",[2,0,[11,"` and keep the expression",0]]],"Avoid binding a unit `()` result; remove `%s` and keep the expression"],uTr=IP,aTr=[0,[11,"shared constructor has non-shared parameter type",[15,0]],"shared constructor has non-shared parameter type%a"],fTr=[0,[11,Gh,0],Gh],iTr=[0,kq,4267,35],cTr=[0,[11,Tq,0],Tq],oTr=tU,vTr=[0,[11,"class body of type",[15,[11,ui,[15,0]]]],"class body of type%a\ndoes not match expected type%a"],ATr=[0,[11,$_,0],$_],sTr=[0,[11,b$,0],b$],bTr=[0,[11,Fq,[2,0,0]],YF],lTr=CA,BTr=[0,[11,"empty block cannot produce expected type",[15,0]],"empty block cannot produce expected type%a"],jTr=[0,[11,sx,[15,[11,BU,[15,0]]]],qK],kTr=uy,pTr=Mv,dTr=HU,mTr=Mv,_Tr=[0,[11,Fq,[2,0,0]],YF],hTr=CA,xTr=HU,yTr=Mv,wTr=Mv,gTr=HU,qTr=[0,0,2],ITr=[0,[11,Fq,[2,0,0]],YF],ETr=CA,DTr=[0,kq,4556,2],$Tr=[0,kq,4559,10],TTr=[0,[11,jn,0],jn],NTr=Hr,FTr=[0,[11,QE,0],QE],UTr="M0138",GTr=[0,3,[0,0,0]],PTr=[0,[11,X$,0],X$],KTr="M0139",OTr=[0,1,[0,2,0]],MTr=[0,[11,DP,0],DP],RTr="M0140",VTr=[0,[11,Iu,[2,0,[11,CR,[15,0]]]],zP],LTr=rD,HTr=[0,kq,4826,28],QTr=wG,CTr=as,STr=[0,[11,Gj,0],Gj],ZTr=PK,zTr=[0,[11,Ip,0],Ip],XTr=[0,[11,Gq,0],Gq],JTr=Vu,WTr=[0,[11,pt,0],pt],YTr=go,rNr=[0,kq,4784,26],nNr=[0,kq,4785,23],tNr=[0,[11,Dw,0],Dw],eNr=ek,uNr=[0,1,[0,2,0]],aNr=[0,[11,cK,0],cK],fNr=ek,iNr=[0,[11,"duplicate binding for mixin ",[2,0,[11,i_,0]]],"duplicate binding for mixin %s in imports"],cNr=ir,oNr=[0,[11,ql,[2,0,[11,i_,0]]],"duplicate binding for type %s in imports"],vNr=ir,ANr=[0,[11,Mp,[2,0,[11,i_,0]]],"duplicate binding for %s in imports"],sNr=ir,bNr=[0,[11,Hb,0],Hb],lNr=[0,kq,4666,4],BNr=[0,kq,4670,9],jNr=T$,kNr=Mv,pNr=Ml,dNr=[0,[11,"You can use the dot notation `",[2,0,[12,46,[2,0,[11,"(...)` here",0]]]]],"You can use the dot notation `%s.%s(...)` here"],mNr=T$,_Nr=tc,hNr=[0,[11,"overlapping resolution for `",[2,0,[11,"` in scope from these modules: ",[2,0,0]]]],"overlapping resolution for `%s` in scope from these modules: %s"],xNr=[0,0,0],yNr=tc,wNr=tc,gNr=[0,[11,"The ambiguous implicit candidates are: ",[2,0,[12,46,0]]],"The ambiguous implicit candidates are: %s."],qNr=[0,[11,"ambiguous implicit argument ",[2,0,[11,jo,[15,[12,46,0]]]]],"ambiguous implicit argument %s of type %a."],INr=qd,ENr=[0,[11,"Consider renaming `",[2,0,[11,"` to `",[2,0,[12,46,[2,0,[11,"` in ",[2,0,[11," module `",[2,0,[11,"`. Then it can serve as an implicit argument `",[2,0,[11,"` in this call:\n",[2,0,[2,0,0]]]]]]]]]]]]]]],"Consider renaming `%s` to `%s.%s` in %s module `%s`. Then it can serve as an implicit argument `%s` in this call:\n%s%s"],DNr=[0,0,0],$Nr=[0,0,0],TNr=[0,[11,"operator is not defined for operand types",[15,[11,ly,[15,0]]]],"operator is not defined for operand types%a\nand%a"],NNr=[0,[11,"duplicate definition for ",[2,0,[2,0,[11,_T,0]]]],"duplicate definition for %s%s in block"],FNr=[8,0,0,0,0,[0,[2,2],0]],UNr=pK,GNr=[2,14],PNr=wP,KNr=[2,2],ONr=CM,MNr=[8,0,0,0,0,[0,[2,2],0]],RNr=pK,VNr=[2,3],LNr=lD,HNr=[2,3],QNr=bB,CNr=[8,0,0,0,[0,[2,2],0],[0,[2,3],0]],SNr=Nt,ZNr=[2,2],zNr=l,XNr=lD,JNr=bB,WNr=[2,2],YNr=CM,rFr=[8,0,0,0,0,[0,[2,2],0]],nFr=pK,tFr=[0,[2,2],0],eFr=Nt,uFr=Mv,aFr=[0,[11,"literal of type",[15,[11,"\ndoes not have expected type",[15,[2,0,0]]]]],"literal of type%a\ndoes not have expected type%a%s"],fFr=[0,kq,1278,4],iFr=[0,[11,'string literal "',[2,0,[11,'": is not valid utf8',0]]],'string literal "%s": is not valid utf8'],cFr=[0,[11,"literal out of range for type ",[2,0,0]],"literal out of range for type %s"],oFr=[0,[11,Uk,[2,0,[11,"; try enclosing in an async expression or query function",0]]],"misplaced %s; try enclosing in an async expression or query function"],vFr=nP,AFr=[0,[11,Uk,[2,0,0]],Wi],sFr=nP,bFr=[0,[11,Uk,[2,0,[11,"; try enclosing in an async expression",0]]],"misplaced %s; try enclosing in an async expression"],lFr=uK,BFr=[0,[11,Uk,[2,0,0]],Wi],jFr=uK,kFr=[0,[11,Uk,[2,0,[11,"; a query cannot contain an ",[2,0,0]]]],"misplaced %s; a query cannot contain an %s"],pFr=Mk,dFr=[0,[11,Uk,[2,0,[11,"; a composite query cannot contain an ",[2,0,0]]]],"misplaced %s; a composite query cannot contain an %s"],mFr=Mk,_Fr=[0,[11,Uk,[2,0,[11,"; try enclosing in an async function",0]]],"misplaced %s; try enclosing in an async function"],hFr=Mk,xFr=[0,kq,743,22],yFr=[0,[11,"start of scope ",[2,0,[11,_D,[2,0,0]]]],"start of scope %s mentioned in error at %s"],wFr=[0,[11,"end of scope ",[2,0,[11,_D,[2,0,0]]]],"end of scope %s mentioned in error at %s"],gFr=[0,[11,Ht,[15,[11," is ",[2,0,0]]]],"\n scope %a is %s"],qFr=[0,[11,Ht,[15,[11," is the global scope",0]]],"\n scope %a is the global scope"],IFr=Mv,EFr=[0,[11,Vf,0],Vf],DFr=[0,[11,$v,0],$v],$Fr=[0,kq,678,2],TFr=[0,[11,Op,0],Op],NFr=[0,[11,"\ntype",[15,[11,"\nis or contains non-shared type",[15,0]]]],"\ntype%a\nis or contains non-shared type%a"],FFr=[0,[11,"unresolved import ",[2,0,0]],"unresolved import %s"],UFr=bc,GFr=[0,[11,"cannot infer type of forward import ",[2,0,0]],"cannot infer type of forward import %s"],PFr=[0,[11,"imported file ",[2,0,[11," not loaded",0]]],"imported file %s not loaded"],KFr=tc,OFr=[0,[11,HU,[2,0,[2,0,[12,32,[2,0,[12,32,[2,0,[11," references type parameter",[2,0,[12,32,[2,0,[11," from an outer scope",0]]]]]]]]]]]],"type %s%s %s %s references type parameter%s %s from an outer scope"],MFr=oN,RFr=pj,VFr=IB,LFr=z_,HFr=km,QFr=St,CFr=ON,SFr=Y$,ZFr=yN,zFr=[0,[11,uF,0],uF],XFr=[0,[11,"first use of ",[2,0,0]],"first use of %s"],JFr=[0,[11,"duplicate ",[2,0,[11," name ",[2,0,[11,Ow,[2,0,0]]]]]],"duplicate %s name %s in %s"],WFr=[0,[2,0,[11," names ",[2,0,[11,kp,[2,0,[11,Ow,[2,0,[11," have colliding hashes",0]]]]]]]],"%s names %s and %s in %s have colliding hashes"],YFr=[0,[11,ue,0],ue],rUr=da,nUr=qD,tUr=[0,[11,"this ",[2,0,[11,yU,[15,[11,"\ndoes not cover value\n ",[2,0,0]]]]]],"this %s of type%a\ndoes not cover value\n %s"],eUr=zo,uUr=[0,[11,vg,0],vg],aUr=Pi,fUr=[0,[11,"cannot decide equality between type",[15,[11,ly,[15,0]]]],"cannot decide equality between type%a\nand%a"],iUr=Pi,cUr=[0,[11,xx,[15,[11,ly,[15,0]]]],PR],oUr=Pi,vUr=[0,[11,xx,[15,[11,ly,[15,0]]]],PR],AUr=Pi,sUr=kg,bUr=Ce,lUr=[0,[11,"unused identifier: `",[2,0,[12,96,0]]],"unused identifier: `%s`"],BUr=[0,[11,"help: if this is intentional, prefix it with an underscore: `_",[2,0,[12,96,0]]],"help: if this is intentional, prefix it with an underscore: `_%s`"],jUr=R$,kUr=lO,pUr=[0,[11,"unused field in pattern: `",[2,0,[12,96,0]]],"unused field in pattern: `%s`"],dUr=[0,[11,"help: if this is intentional, delete or rewrite as `",[2,0,[11," = _`",0]]],"help: if this is intentional, delete or rewrite as `%s = _`"],mUr=[0,[11,Iu,[2,0,[11," is never reassigned, consider using `let`",0]]],"variable %s is never reassigned, consider using `let`"],_Ur=W$,hUr=[0,[11,"pattern variable ",[2,0,[11," has larger type",[15,[11,"\nbecause its types in the pattern alternatives are unrelated smaller types:\ntype in left pattern is",[15,[11,"\ntype in right pattern is",[15,0]]]]]]]],"pattern variable %s has larger type%a\nbecause its types in the pattern alternatives are unrelated smaller types:\ntype in left pattern is%a\ntype in right pattern is%a"],xUr=iF,yUr=Mv,wUr=hs,gUr=[0,[2,0,[11,"\n (This is a limitation of the current version",[2,0,[11,".)",0]]]],"%s\n (This is a limitation of the current version%s.)"],qUr=Mv,IUr=[0,[2,0,[12,32,[2,0,[11," is deprecated for caffeine",0]]]],"%s %s is deprecated for caffeine"],EUr=[0,[11,Bp,0],Bp],DUr=[0,[2,0,[12,32,[2,0,[11," is deprecated:\n",[2,0,0]]]]],"%s %s is deprecated:\n%s"],$Ur=e_,TUr=[0,[2,0,0],d_],NUr=lB,FUr=lB,UUr=lB,GUr=[0,[11," in type environment:",[15,0]]," in type environment:%a"],PUr=[0,[11," in label environment:",[15,0]]," in label environment:%a"],KUr=[0,[11," in environment:",[15,0]]," in environment:%a"],OUr=[0,[11,ht,[15,0]],lu],MUr=sr,RUr=Rx,VUr=xt,LUr=ss,HUr=vs,QUr=[0,[2,0,[12,46,0]],"%s."],CUr=[0,[11,ht,[15,0]],lu],SUr=[0,[11,kF,0],kF],ZUr=[0,[11,"But got ",[4,0,0,0,[11,he,[2,0,[11,wd,[15,0]]]]]],"But got %d argument%s of type:%a"],zUr=[0,[11,VK,0],VK],XUr=[0,[11,"Expected ",[4,0,0,0,[11,he,[2,0,[11,wd,[15,0]]]]]],"Expected %d argument%s of type:%a"],JUr=Mv,WUr=hs,YUr=[0,[11,jv,[2,0,0]],"\nbecause %s"],rGr=[0,1],nGr=[0,[0,0]],tGr=[0,0],eGr=[0,pM,_K,4],uGr=[0,pM,Eo,4],aGr=[0,[11,"the previous program version does not contain the stable variable ",[2,0,[11,". The migration function cannot require this variable as input, please see ",[2,0,[12,46,0]]]]],"the previous program version does not contain the stable variable %s. The migration function cannot require this variable as input, please see %s."],fGr=Pa,iGr=[0,[11,qj,[2,0,[11,"` implicitly drops data of the previous version. \n The previous type",[15,[11,"\n is not a stable subtype of",[15,[11,Cu,[2,0,[11,".\n The data can only be dropped by an explicit migration function, please see ",[2,0,[12,46,0]]]]]]]]]]],"the new type of stable variable `%s` implicitly drops data of the previous version. \n The previous type%a\n is not a stable subtype of%a\n because %s.\n The data can only be dropped by an explicit migration function, please see %s."],cGr=[0,[11,qj,[2,0,[11,"` is not compatible with the previous version.\n The previous type",[15,[11,"\n is not a subtype of",[15,[11,Cu,[2,0,[11,".\n Write an explicit migration function, please see ",[2,0,[12,46,0]]]]]]]]]]],"the new type of stable variable `%s` is not compatible with the previous version.\n The previous type%a\n is not a subtype of%a\n because %s.\n Write an explicit migration function, please see %s."],oGr=[0,[11,"the stable variable `",[2,0,[11,"` of the previous version cannot be implicitly discarded. The variable can only be dropped by an explicit migration function, please see ",[2,0,0]]]],"the stable variable `%s` of the previous version cannot be implicitly discarded. The variable can only be dropped by an explicit migration function, please see 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%s"],Jen=[0,1,1,1,1,1],Wen=[0,0,1],Yen=[0,1,0],run=[0,"ir_def/ir_effect.ml",Eo,22],nun=[0,Ue,822,19],tun=Z,eun=Z,uun=Z,aun=[0,Ue,714,9],fun=[0,Ue,707,8],iun=yn,cun=yn,oun=[0,Ue,668,9],vun=[0,Ue,633,2],Aun=[0,Ue,632,11],sun=tA,bun=[0,Ue,605,11],lun=Iv,Bun=[0,Ue,549,2],jun=[0,Ue,544,2],kun=[0,Ue,jN,2],pun=[1,0],dun=[2,0],mun=[2,0],_un=[0,Ue,_R,11],hun=[0,Ue,Rd,11],xun=[0,Ue,OD,9],yun=[0,Ue,qN,9],wun=[0,Ue,BM,11],gun=[0,[2,0,[4,3,0,0,0]],"%s%i"],qun=[0,[12,36,[2,0,[12,47,[4,3,0,0,0]]]],"$%s/%i"],Iun=[0,"ir_def/rename.ml",HR,4],Eun=[0,"ir_def/subst_var.ml",82,4],Dun=qA,$un=gM,Tun=YK,Nun=zf,Fun=QF,Uun=bE,Gun=R,Pun=dI,Kun=OR,Oun=ze,Mun=zg,Run=RD,Vun=rP,Lun=[0,A$],Hun=Tg,Qun=Tg,Cun=Ln,Sun=hI,Zun=[0,"TupPrim"],zun=[0,"OptPrim"],Xun=[0,"IdxPrim"],Jun=[0,"IdxBlobPrim"],Wun=[0,"RetPrim"],Yun=[0,"AssertPrim"],ran=[0,"ThrowPrim"],nan=[0,"DecodeUtf8"],tan=[0,"EncodeUtf8"],ean=[0,"BlobOfIcUrl"],uan=[0,"IcUrlOfBlob"],aan=[0,"SystemTimePrim"],fan=[0,"NextArrayOffset"],ian=[0,"EqArrayOffset"],can=[0,"DerefArrayOffset"],oan=[0,"GetLastArrayOffset"],van=[0,"SystemCyclesAddPrim"],Aan=[0,"SystemCyclesAcceptPrim"],san=[0,"SystemCyclesAvailablePrim"],ban=[0,"SystemCyclesBalancePrim"],lan=[0,"SystemCyclesRefundedPrim"],Ban=[0,"SystemCyclesBurnPrim"],jan=[0,"SystemTimeoutSetPrim"],kan=[0,"SetCertifiedData"],pan=[0,"GetCertificate"],dan=[0,"ICPerformGC"],man=[0,"ICRejectPrim"],_an=[0,"ICCallerPrim"],han=[0,"ICCallPrim"],xan=[0,"ICCallRawPrim"],yan=[0,"ICMethodNamePrim"],wan=[0,"ICReplyDeadlinePrim"],gan=[0,"ICArgDataPrim"],qan=NP,Ian=[0,"AwaitPrim?"],Ean=[0,"AwaitPrim"],Dan=[0,"AwaitPrim*"],$an=[0,Lw],Tan=[0,kD],Nan=[0,zN],Fan=vm,Uan=bU,Gan=cr,Pan=Lb,Kan=qt,Oan=Lp,Man=kI,Ran=[0,Vo],Van=qk,Lan=L,Han=LN,Qan=ED,Can=xp,San=PD,Zan=pR,zan=Kn,Xan=Gw,Jan=Qb,Wan=oh,Yan=J_,rfn=Ts,nfn=GU,tfn=ld,efn=Pe,ufn=_w,afn=[0,[3,0,0],"%S"],ffn=Jc,ifn=yy,cfn=hb,ofn=kh,vfn=zE,Afn=zE,sfn=[0,[11,ec,0],ec],bfn=[0,[11,"free type variable ",[2,0,[11,", index ",[4,3,0,0,0]]]],"free type variable %s, index %i"],lfn=[0,[11,"free type constructor ",[2,0,[12,32,0]]],"free type constructor %s "],Bfn=sr,jfn=[0,[11,"object type's fields are not distinct and sorted ",[2,0,0]],"object type's fields are not distinct and sorted %s"],kfn=tx,pfn=[0,[11,"variant type's fields are not distinct and sorted ",[2,0,0]],"variant type's fields are not distinct and sorted %s"],dfn=[0,1],mfn=[0,[11,"one-shot function cannot have non-unit return types:\n ",[2,0,0]],"one-shot function cannot have non-unit return types:\n %s"],_fn=[0,[11,xF,[2,0,0]],gd],hfn=[0,[11,fB,[2,0,0]],$l],xfn=[0,[11,"replying function cannot be local:\n ",[2,0,0]],"replying function cannot be local:\n %s"],yfn=[0,[11,fB,[2,0,0]],$l],wfn=[0,[11,xF,[2,0,0]],gd],gfn=[0,[11,"unexpected T.Mut ",[2,0,0]],"unexpected T.Mut %s"],qfn=[0,[11,S,[2,0,[11," must have shared function type, found ",[2,0,0]]]],"actor field %s must have shared function type, found %s"],Ifn=Uc,Efn=[0,[11,Qw,[2,0,[11,Ft,[2,0,0]]]],Wy],Dfn=[0,Tw,328,56],$fn=[0,[11,oO,0],oO],Tfn=[0,[11,s_,0],s_],Nfn=rP,Ffn=RD,Ufn=[0,[11,"const ",[2,0,[11," with non-const variable ",[2,0,0]]]],"const %s with non-const variable %s"],Gfn=[0,[11,"IR has aliasing (or Check_ir visits nodes twice):\n",[2,0,0]],"IR has aliasing (or Check_ir visits nodes twice):\n%s"],Pfn=[2,3],Kfn=[0,Tw,557,21],Ofn=[0,[11,em,0],em],Mfn=[0,[11,TN,[2,0,0]],mK],Rfn=[0,[11,Ku,[2,0,0]],Ir],Vfn=[0,[11,Ku,[2,0,0]],Ir],Lfn=[0,[11,"expected tuple type, but expression produces type\n ",[2,0,0]],"expected tuple type, but expression produces type\n %s"],Hfn=[0,[11,Zp,[21,1,[11," is out of bounds for type\n ",[2,0,0]]]],"tuple projection %n is out of bounds for type\n %s"],Qfn=[0,[11,Wn,[2,0,0]],"unbound label %s"],Cfn=[0,[11,me,0],me],Sfn=[0,[11,"expected async type, but expression has type\n ",[2,0,0]],"expected async type, but expression has type\n %s"],Zfn=_u,zfn=[0,[11,"ActorOfIdBlob cast to actor object type, not\n ",[2,0,0]],"ActorOfIdBlob cast to actor object type, not\n %s"],Xfn=[0,[11,"CPSAwait expect async arg, found ",[2,0,0]],"CPSAwait expect async arg, found %s"],Jfn=[0,[11,p$,0],p$],Wfn=[0,[11,zs,0],zs],Yfn=[0,[11,jh,0],jh],rin=[0,[11,U$,[2,0,0]],NG],nin=of,tin=[0,[11,ob,[2,0,[11,jd,[2,0,0]]]],xk],ein=[0,[11,TN,[2,0,0]],mK],uin=[0,[11,"PrimE ",[2,0,[11," does not work with ",[4,0,0,0,[11," arguments",0]]]]],"PrimE %s does not work with %d arguments"],ain=[0,[11,Uh,[2,0,0]],nk],fin=[0,Tw,BO,7],iin=[0,Tw,vO,7],cin=[0,[11,wg,0],wg],oin=[0,Tw,786,4],vin=[0,[11,"expected mutable ",[2,0,0]],"expected mutable %s"],Ain=[0,[11,Uh,[2,0,0]],nk],sin=mI,bin=mI,lin=gM,Bin=[0,[11,fg,0],fg],jin=[0,[11,Uh,[2,0,0]],nk],kin=[0,[11,TN,[2,0,0]],mK],pin=[0,[11,U$,[2,0,0]],NG],din=of,min=[0,[11,ob,[2,0,[11,jd,[2,0,0]]]],xk],_in=[0,[11,Mp,[2,0,[11," in argument list",0]]],"duplicate binding for %s in argument list"],hin=[0,[11,Mp,[2,0,[11,_T,0]]],"duplicate binding for %s in block"],xin=[0,Tw,1047,2],yin=[6,0],win=[0,[11,Be,0],Be],gin=[0,[11,Mp,[2,0,[11,kd,0]]],wl],qin=[0,[11,"cannot match mutable field ",[2,0,0]],"cannot match mutable field %s"],Iin=[0,[11,"field typing for ",[2,0,[11," not found",0]]],"field typing for %s not found"],Ein=[0,Tw,1128,2],Din=[0,Tw,1146,9],$in=Za,Tin=Za,Nin=[0,[11,ot,[2,0,[11,":\n",0]]],"Ill-typed intermediate code after %s:\n"],Fin=[0,[2,0,0],d_],Uin=[0,[2,0,0],d_],Gin=[0,[2,0,0],d_],Pin=[0,[11,ot,[2,0,[11," (use -v to see dumped IR):\n",0]]],"Ill-typed intermediate code after %s (use -v to see dumped IR):\n"],Kin=[0,[2,0,0],d_],Oin=[0,[2,0,0],d_],Min=mI,Rin=[0,[11,kv,[2,0,[11,kp,[2,0,[11,Ow,[2,0,[11," type have colliding hashes",0]]]]]]],"field names %s and %s in %s type have colliding hashes"],Vin=[0,[11,"message argument is not concrete:\n ",[2,0,0]],"message argument is not concrete:\n %s"],Lin=[0,[11,"message argument is not sharable:\n ",[2,0,0]],"message argument is not sharable:\n %s"],Hin=[0,[11,"subtype 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%s"],Dcn=[0,ge,zt,4],$cn=I_,Tcn=I_,Ncn=[0,0,0],Fcn=[0,ge,Yd,11],Ucn=cp,Gcn=Z,Pcn=[0,ge,_F,26],Kcn=[0,ge,xd,11],Ocn=[0,ge,513,25],Mcn=[0,0,0],Rcn=IB,Vcn=pj,Lcn=oN,Hcn=oN,Qcn=pj,Ccn=IB,Scn=j$,Zcn=[20,tk],zcn=[20,tk],Xcn=oN,Jcn=pj,Wcn=IB,Ycn=[0,0,0],ron=pK,non=[1,0,0],ton=pK,eon=IB,uon=pK,aon=[20,Pw],fon=[0,0],ion=[1,0,0],con=tG,oon=ml,von=bt,Aon=WK,son=[0,[2,0,[11," force",0]],"%s force"],bon=hq,lon=ry,Bon=dD,jon=Pr,kon=gw,pon=L$,don=HI,mon=Wb,_on=p,hon=rb,xon=v,yon=XD,won=wu,gon=pP,qon=Yg,Ion=zr,Eon=UK,Don=mn,$on=nA,Ton=uU,Non=bT,Fon=Qq,Uon=Ga,Gon=jx,Pon=dy,Kon=IB,Oon=[20,tk],Mon=[20,Pw],Ron=[0,0],Von=[0,ge,654,18],Lon=Iv,Hon=ON,Qon=[0,[11,"stable variable `",[2,0,[11,"` of type `",[2,0,[11,"` expected but not found",0]]]]],"stable variable `%s` of type `%s` expected but not found"],Con=[20,tk],Son=Iv,Zon=[20,Ro],zon=Iv,Xon=km,Jon=z_,Won=Y$,Yon=yN,rvn=St,nvn=[0,ge,863,4],tvn=[0,ge,851,28],evn=[0,ge,885,4],uvn=[0,ge,895,4],avn=[0,ge,922,26],fvn=[0,ge,942,11],ivn=[0,Vr,1,0],cvn=[0,ge,971,14],ovn=[0,[2,3],0],vvn=[0,ge,983,12],Avn=[2,3],svn=[0,ge,993,12],bvn=lq,lvn=[0,ge,v$,29],Bvn=[0,ge,1063,8],jvn=[0,ge,1065,13],kvn=[0,ge,1133,18],pvn=[0,ge,1258,13],dvn=IB,mvn=IB,_vn=tA,hvn=tA,xvn=[0,ge,1180,31],yvn=[0,ge,1148,14],wvn=[0,ge,1196,36],gvn=[0,ge,1207,6],qvn=tA,Ivn=Wh,Evn=[0,ge,iv,2],Dvn=[8,0,0,0,[0,[2,15],0],[0,[2,16],0]],$vn=TP,Tvn=[2,16],Nvn=[0,ge,1285,9],Fvn=[20,tk],Uvn=vn,Gvn=Es,Pvn=[0,ge,1443,2],Kvn=[0,ge,1454,13],Ovn=[0,ge,1463,13],Mvn=$d,Rvn=go,Vvn=vn,Lvn=Es,Hvn=[0,ge,1420,11],Qvn=[0,ge,1395,8],Cvn=[0,ge,1411,11],Svn=[0,ge,1400,13],Zvn=[0,ge,1372,11],zvn=tA,Xvn=Kr,Jvn=[0,ge,1316,41],Wvn=[0,ge,1304,11],Yvn=[0,ge,1314,11],rAn=$d,nAn=vn,tAn=Es,eAn=go,uAn=[11,0],aAn=sk,fAn=[0,1,0],iAn=[0,1,0],cAn=[0,1,0],oAn=aT,vAn=fK,AAn=[0,"ir_passes/tailcall.ml",nE,17],sAn=uG,bAn=uG,lAn=[0,vU,DD,2],BAn=tc,jAn=JM,kAn=LB,pAn=fs,dAn=za,mAn=tN,_An=jb,hAn=Ky,xAn=[20,tn],yAn=mR,wAn=[0,vU,gk,9],gAn=Mv,qAn=[0,[5,[10,[0,nn,0]]],0],IAn=[0,nn,0],EAn=[0,[0,nn,1,0],0],DAn=[0,[5,[0,nn,0]],0],$An=[0,nn,0],TAn=[0,[0,nn,1,0],0],NAn=[0,[0,nn,0],0],FAn=[0,nn,0],UAn=[0,[0,nn,1,0],0],GAn=[0,[6,[0,nn,0]],0],PAn=[0,nn,0],KAn=[0,[0,nn,1,0],0],OAn=[1,0,2],MAn=[0,"ir_passes/erase_typ_field.ml",Wu,21],RAn=uG,VAn=uG,LAn=[0,Bk,ZP,2],HAn=[0,Bk,N$,17],QAn=[0,[5,[0,nn,0]],[0,[5,[0,nn,0]],0]],CAn=[0,nn,0],SAn=[0,[0,nn,1,0],0],ZAn=uG,zAn=[0,[11,"Unbound var: ",[2,0,[12,10,0]]],"Unbound var: %s\n"],XAn=[0,Sc,Eo,9],JAn=[0,Sc,m_,2],WAn=[0,Sc,yl,16],YAn=[0,Sc,Hd,16],rsn=[0,Sc,gi,4],nsn=[0,Sc,Kf,5],tsn=[0,Sc,Kw,4],esn=[0,Sc,Tb,4],usn=[0,Sc,ud,19],asn=[0,Sc,zb,14],fsn=[0,Sc,ph,4],isn=Iv,csn=[0,Sc,fd,4],osn=Iv,vsn=nm,Asn=Iv,ssn=[0,Sc,289,4],bsn=[0,Sc,Dt,14],lsn=Iv,Bsn=Qa,jsn=[0,Sc,zv,4],ksn=[0,Sc,w$,70],psn=[0,Sc,ay,4],dsn=[0,Sc,HF,13],msn=[0,Sc,BO,13],_sn=[0,Sc,423,13],hsn=[0,Sc,pB,13],xsn=[0,Sc,ka,13],ysn=[0,Sc,lr,4],wsn=[0,Sc,_F,13],gsn=[0,Sc,WE,19],qsn=[0,Sc,325,4],Isn=[0,Sc,528,30],Esn=Iv,Dsn=[0,Sc,598,4],$sn=[0,Sc,599,4],Tsn=[0,Sc,622,4],Nsn=[0,Sc,623,4],Fsn=uG,Usn=Uf,Gsn=Qa,Psn=Uf,Ksn=Qa,Osn=[20,cM],Msn=[0,Sc,77,18],Rsn=[0,Sc,67,11],Vsn=Iv,Lsn=Iv,Hsn=[0,Sc,25,4],Qsn=Du,Csn=ba,Ssn=[0,zc,Jx,17],Zsn=[1,0,2],zsn=[8,0,0,0,0,0],Xsn=ni,Jsn=ni,Wsn=$y,Ysn=[0,zc,333,15],rbn=[0,zc,oT,15],nbn=[0,zc,290,13],tbn=Rt,ebn=Qa,ubn=Iv,abn=[0,zc,ay,15],fbn=Iv,ibn=Qa,cbn=Uf,obn=[0,zc,iw,15],vbn=Iv,Abn=Qa,sbn=Uf,bbn=[0,zc,yf,23],lbn=[0,zc,vO,23],Bbn=Iv,jbn=Qa,kbn=Uf,pbn=[0,zc,Bx,23],dbn=[0,zc,Nl,23],mbn=[0,zc,449,40],_bn=[0,zc,pB,21],hbn=[0,zc,sh,16],xbn=uG,ybn=Iv,wbn=lq,gbn=lq,qbn=lq,Ibn=Iv,Ebn=ba,Dbn=Du,$bn=vM,Tbn=r$,Nbn=r$,Fbn=[0,[0,ni,[8,0,0,0,0,0]],0],Ubn=$y,Gbn=[0,[0,nn,1,0],0],Pbn=WG,Kbn=[0,rI,1134,6],Obn=WG,Mbn=[0,0,0],Rbn=Ye,Vbn=[0,[11,"The Wasm data segment size exceeds the supported maxmimum of ",[21,1,[11,"MB.",0]]],"The Wasm data segment size exceeds the supported maxmimum of %nMB."],Lbn=qb,Hbn=qb,Qbn=[0,rI,qR,2],Cbn=[0,rI,$N,4],Sbn=[0,[0,0,0],0],Zbn=[0,[0,0,0],0],zbn=AA,Xbn=Ec,Jbn=AA,Wbn=Ec,Ybn=YV(0,0,0),rln=[0,rI,856,18],nln=[0,[20,[1,0]],0],tln=[0,[20,[0,0]],0],eln=[0,rI,818,11],uln=jD,aln=$b,fln=[0,1,0,0],iln=[0,[11,"Can't find export for GOT.mem import ",[2,0,0]],"Can't find export for GOT.mem import %s"],cln=[0,[11,"Can't find export for GOT.func import ",[2,0,0]],"Can't find export for GOT.func import %s"],oln=[0,1,0],vln=[0,0,0],Aln=jD,sln=$b,bln=[0,[11,TG,[2,0,[11," is not global",0]]],"Export %s is not global"],lln=[0,[11,TG,[2,0,[11," is not a function",0]]],"Export %s is not a function"],Bln=[0,[11,"Type mismatch when linking ",[2,0,[12,46,[2,0,[11,":\nimport type: ",[2,0,[11,"\nexport type: ",[2,0,0]]]]]]]],"Type mismatch when linking %s.%s:\nimport type: %s\nexport type: %s"],jln=[0,0,0],kln=qb,pln=qb,dln=[0,rI,636,39],mln=[0,rI,614,14],_ln=[0,rI,600,28],hln=[0,rI,592,28],xln=[0,rI,584,28],yln=MI,wln=YV(1,0,0),gln=Au,qln=Au,Iln=MI,Eln=[0,1,0],Dln=[0,rI,531,4],$ln=[0,0,0],Tln=[0,rI,534,4],Nln=[0,rI,536,9],Fln=[0,rI,BO,40],Uln=[0,1,0],Gln=[0,rI,Ib,9],Pln=[0,0,0],Kln=[0,rI,xK,9],Oln=[0,rI,yr,12],Mln=[0,rI,WU,11],Rln=[0,rI,$i,13],Vln=[0,rI,BT,12],Lln=[1,0],Hln=[19,[0,1]],Qln=YV(1,0,0),Cln=[19,[1,1]],Sln=[18,[0,1]],Zln=[18,[0,0]],zln=[18,[1,1]],Xln=[18,[1,0]],Jln=[18,[2,1]],Wln=[18,[2,0]],Yln=[18,[3,1]],rBn=[18,[3,0]],nBn=YV(0,0,0),tBn=[17,[0,0]],eBn=YV(0,0,0),uBn=[17,[1,0]],aBn=YV(0,0,0),fBn=[17,[0,0]],iBn=[18,[0,1]],cBn=[19,[0,0]],oBn=[19,[0,0]],vBn=[18,[0,0]],ABn=YV(0,0,0),sBn=YV(0,0,0),bBn=YV(1,0,0),lBn=YV(1,0,0),BBn=[0,zm,zb,10],jBn=[0,zm,Gl,6],kBn=[0,[11,"Function import not declared: ",[2,0,[12,10,0]]],"Function import not declared: 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stable memory version (expected ",[2,0,[11,Zt,[2,0,[12,41,0]]]]],"unsupported stable memory version (expected %s or 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it=[0,3,[0,1,[0,1,0]]],Iit=gh,Eit=Zq,Dit=[0,0,0],$it=[0,0,0],Tit=Hm,Nit=Zq,Fit=[0,0,0],Uit=[0,0,0],Git=CO,Pit=Zq,Kit=[0,0,0],Oit=[0,0,0],Mit=Yw,Rit=Zq,Vit=[0,0,0],Lit=[0,0,0],Hit=LO,Qit=Zq,Cit=[0,0,0],Sit=[0,0,0],Zit=le,zit=Zq,Xit=[0,0,0],Jit=[0,0,0],Wit=RK,Yit=Zq,rct=[0,1,0],nct=cb,tct=Zq,ect=[0,1,0],uct=R_,act=Zq,fct=[0,1,0],ict=[0,1,0],cct=FP,oct=Zq,vct=[0,1,0],Act=lc,sct=Zq,bct=[0,1,0],lct=tw,Bct=Zq,jct=[0,1,0],kct=[0,1,[0,1,0]],pct=xn,dct=Zq,mct=[0,1,0],_ct=[0,1,[0,1,0]],hct=xy,xct=Zq,yct=[0,1,0],wct=RR,gct=Zq,qct=xb,Ict=Zq,Ect=xT,Dct=Zq,$ct=[0,0,0],Tct=Mg,Nct=Zq,Fct=[0,1,[0,1,[0,1,0]]],Uct=on,Gct=Zq,Pct=[0,0,0],Kct=x,Oct=Zq,Mct=[0,1,[0,1,0]],Rct=uh,Vct=Zq,Lct=[0,0,0],Hct=fN,Qct=Zq,Cct=[0,1,0],Sct=oj,Zct=Zq,zct=[0,1,0],Xct=rU,Jct=Zq,Wct=[0,1,0],Yct=[0,1,0],rot=jB,not=Zq,tot=[0,0,0],eot=[0,1,0],uot=OF,aot=Zq,fot=[0,1,0],iot=vT,cot=Zq,oot=[0,1,0],vot=hk,Aot=Zq,sot=[0,ds,1083,60],bot=[0,ds,Wq,56],lot=[0,ds,1074,52],Bot=[0,ds,$N,50],jot=[0,ds,px,6],kot=[0,ds,996,6],pot=[0,ds,iu,6],dot=YV(0,0,0),mot=[0,[11,ax,[4,0,0,0,0]],hp],_ot=[21,[0,2]],hot=YV(_e,xq,0),xot=YV(0,0,0),yot=AB,wot=Lu,got=YV(1,0,0),qot=YV(0,0,0),Iot=YV(0,0,0),Eot=YV(0,0,0),Dot=YV(0,0,0),$ot=YV(0,0,0),Tot=YV(0,0,0),Not=YV(0,0,0),Fot=YV(0,0,0),Uot=YV(1,0,0),Got=YV(0,0,0),Pot=YV(1,0,0),Kot=[21,[1,1]],Oot=[21,[1,1]],Mot=[21,[1,1]],Rot=[21,[1,1]],Vot=[21,[1,1]],Lot=[0,ds,814,14],Hot=Xl,Qot=Sl,Cot=_h,Sot=Zq,Zot=[0,ds,719,9],zot=[0,ds,715,4],Xot=[1,0],Jot=[0,[11,gp,[2,0,[11,ps,0]]],ll],Wot=[0,ds,580,4],Yot=[0,[11,Ko,0],Ko],rvt=[0,[11,BG,0],BG],nvt=[0,[11,_P,0],_P],tvt=[0,ds,oP,6],evt=[0,ds,nv,13],uvt=[0,ds,Sp,13],avt=YV(0,0,64),fvt=YV(0,Uj,0),ivt=YV(0,64,0),cvt=YV(4,0,0),ovt=YV(0,0,qr),vvt=YV(0,Po,0),Avt=YV(0,qr,0),svt=YV(12,0,0),bvt=YV(0,32,0),lvt=YV(0,131072,0),Bvt=[0,ds,bM,12],jvt=YV(2,0,0),kvt=YV(0,0,0),pvt=[0,ds,YP,12],dvt=YV(0,0,16384),mvt=YV(0,0,0),_vt=[21,[0,2]],hvt=YV(0,0,0),xvt=YV(1,0,0),yvt=[21,[1,1]],wvt=YV(0,0,0),gvt=YV(1,0,0),qvt=YV(2,0,0),Ivt=YV(1,0,0),Evt=YV(1,0,0),Dvt=YV(0,0,0),$vt=YV(1,0,0),Tvt=YV(0,0,0),Nvt=YV(1,0,0),Fvt=YV(1,0,0),Uvt=YV(0,0,0),Gvt=[13,[0,0,0,YV(0,0,0),0]],Pvt=[14,[0,0,0,YV(0,0,0),0]],Kvt=YV(8,0,0),Ovt=YV(1,0,0),Mvt=YV(1,0,0),Rvt=YV(RF,0,0),Vvt=YV(16,0,0),Lvt=YV(RF,0,0),Hvt=wG,Qvt=Em,Cvt=Zq,Svt=wG,Zvt=Em,zvt=Zq,Xvt=xs,Jvt=xs,Wvt=xs,Yvt=xs,rAt=[0,[11,pj,[4,3,0,0,0]],gb],nAt=Nm,tAt=Zq,eAt=[1,6],uAt=[18,[0,0]],aAt=[20,[0,0]],fAt=[0,_p,11375,4],iAt=Qp,cAt=[2,5],oAt=la,vAt=pj,AAt=ba,sAt=Du,bAt=Rt,lAt=la,BAt=pj,jAt=ba,kAt=Du,pAt=Rt,dAt=[1,6],mAt=[0,_p,11209,25],_At=[0,_p,11226,9],hAt=[0,_p,11238,11],xAt=qy,yAt=[0,_p,11245,9],wAt=[0,_p,11266,9],gAt=la,qAt=pj,IAt=c,EAt=[17,[0,0]],DAt=[0,[11,yO,[4,3,0,0,[11,gn,0]]],Jw],$At=[0,0,0],TAt=xN,NAt=[0,1,0],FAt=[0,AB,0],UAt=Xk,GAt=[1,6],PAt=[0,0,0],KAt=[0,AB,0],OAt=FU,MAt=[2,3],RAt=[2,4],VAt=wc,LAt=xs,HAt=[2,4],QAt=[2,3],CAt=[2,4],SAt=[2,5],ZAt=[2,5],zAt=wc,XAt=xs,JAt=[2,5],WAt=[21,[1,1]],YAt=[2,5],rst=[1,6],nst=[2,5],tst=[2,14],est=wc,ust=[21,[0,2]],ast=xs,fst=[21,[0,2]],ist=[1,6],cst=[1,6],ost=[0,1,0],vst=[0,AB,0],Ast=pe,sst=[1,11],bst=vM,lst=sE,Bst=Zq,jst=[21,[3,2]],kst=[21,[1,0]],pst=[0,3,0],dst=[0,0,0],mst=[0,AB,0],_st=Wa,hst=[2,8],xst=[2,9],yst=wc,wst=xs,gst=[2,9],qst=[2,9],Ist=[2,8],Est=[2,9],Dst=[2,10],$st=[2,10],Tst=wc,Nst=xs,Fst=[2,10],Ust=[2,9],Gst=[21,[1,0]],Pst=[2,10],Kst=[1,11],Ost=[1,11],Mst=wc,Rst=[21,[0,2]],Vst=xs,Lst=[2,6],Hst=[1,11],Qst=[21,[3,2]],Cst=[1,11],Sst=Xo,Zst=Zq,zst=[21,[1,5]],Xst=[1,11],Jst=[21,[2,5]],Wst=[21,[3,4]],Yst=vp,rbt=[2,5],nbt=vp,tbt=TA,ebt=eq,ubt=[18,[0,7]],abt=gh,fbt=Zq,ibt=[21,[3,4]],cbt=gh,obt=Zq,vbt=_n,Abt=er,sbt=jB,bbt=[2,3],lbt=[2,3],Bbt=[1,6],jbt=[2,5],kbt=[2,4],pbt=[2,5],dbt=[2,8],mbt=[1,11],_bt=[2,10],hbt=le,xbt=LO,ybt=RK,wbt=[1,6],gbt=[19,[1,0]],qbt=[1,6],Ibt=[1,6],Ebt=[19,[0,0]],Dbt=[2,5],$bt=[2,5],Tbt=[2,4],Nbt=[2,4],Fbt=Hm,Ubt=CO,Gbt=[2,8],Pbt=[2,8],Kbt=[19,[1,0]],Obt=[1,11],Mbt=[1,11],Rbt=[19,[0,0]],Vbt=[2,10],Lbt=[2,10],Hbt=[2,9],Qbt=[2,9],Cbt=[2,3],Sbt=[2,3],Zbt=Yw,zbt=[2,9],Xbt=[2,5],Jbt=[0,2],Wbt=[2,5],Ybt=[0,2],rlt=[1,6],nlt=[1,6],tlt=[1,6],elt=[1,6],ult=[2,9],alt=[2,9],flt=[2,3],ilt=[2,3],clt=[19,[1,1]],olt=[1,6],vlt=[1,6],Alt=[19,[0,1]],slt=[2,5],blt=[2,5],llt=[2,4],Blt=[2,4],jlt=AI,klt=Zq,plt=[2,5],dlt=[2,8],mlt=[2,8],_lt=[19,[1,1]],hlt=[1,11],xlt=[1,11],ylt=[19,[0,1]],wlt=[2,10],glt=[2,10],qlt=Fs,Ilt=Zq,Elt=Zo,Dlt=Zq,$lt=Tr,Tlt=Zq,Nlt=us,Flt=Zq,Ult=[19,[3,1]],Glt=te,Plt=Zq,Klt=[19,[3,3]],Olt=tT,Mlt=Zq,Rlt=aE,Vlt=Zq,Llt=[20,[3,6]],Hlt=[19,[3,2]],Qlt=[19,[3,6]],Clt=uO,Slt=Zq,Zlt=[19,[3,5]],zlt=gh,Xlt=Zq,Jlt=[20,[3,4]],Wlt=cM,Ylt=[1,6],rBt=[1,6],nBt=[0,2],tBt=[0,3],eBt=[19,[3,4]],uBt=ei,aBt=Zq,fBt=[20,[3,5]],iBt=[19,[0,2]],cBt=[2,5],oBt=[2,5],vBt=[19,[0,2]],ABt=[2,4],sBt=[2,4],bBt=[2,5],lBt=[1,6],BBt=[2,5],jBt=Kr,kBt=[19,[0,2]],pBt=[2,8],dBt=[2,8],mBt=[19,[1,2]],_Bt=[1,11],hBt=[1,11],xBt=[19,[0,2]],yBt=[2,10],wBt=[2,10],gBt=[19,[0,2]],qBt=[2,9],IBt=[2,9],EBt=[19,[0,2]],DBt=[2,3],$Bt=[2,3],TBt=[19,[1,2]],NBt=[1,6],FBt=[1,6],UBt=zF,GBt=[1,6],PBt=[1,6],KBt=[1,6],OBt=[1,6],MBt=[1,6],RBt=[1,6],VBt=[1,6],LBt=[2,5],HBt=[0,_p,1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UTF-8 in environment variable name for actor alias "',[2,0,[12,34,0]]],'invalid UTF-8 in environment variable name for actor alias "%s"'],lee=D$,Bee=HN,jee=jK,kee=Mv,pee=Mv,dee=Mv,mee=Mv,_ee=jK,hee=K_,xee=Fe,yee=Gg,wee=[0,[11,JP,[2,0,[11,'" (for package `',[2,0,[11,"`) does not exist",0]]]]],'file "%s" (for package `%s`) does not exist'],gee=Gg,qee=[0,[11,'canister alias "',[2,0,[11,h,0]]],'canister alias "%s" not defined'],Iee=fc,Eee=[0,[11,'package "',[2,0,[11,h,0]]],'package "%s" not defined'],Dee=fc,$ee=[0,[11,JP,[2,0,[11,'" does not exist',0]]],'file "%s" does not exist'],Tee=fc,Nee=[0,[11,Qo,0],Qo],Fee=fc,Uee=[0,[11,'cannot parse principal "',[2,0,[11,'" for actor alias "',[2,0,[11,'": ',[2,0,0]]]]]],'cannot parse principal "%s" for actor alias "%s": %s'],Gee=D$,Pee=HN,Kee=[0,[11,'cannot parse import URL "',[2,0,[11,'": ',[2,0,0]]]],'cannot parse import URL "%s": %s'],Oee=fc,Mee=Qd,Ree=[0,[11,"code requires Wasm features ",[2,0,[11," to execute",0]]],"code requires Wasm features 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26:return r<50?Vme(r+1|0,i,t,e,o):KQ(Vme,[0,i,t,e,o])}else if(2===v[0]){var A=v[1];return r<50?Mme(r+1|0,i,t,e,A,o):KQ(Mme,[0,i,t,e,A,o])}return vme()}return vme()}return vme()}function wme(r,n,t,e,u){for(var a=n,f=u;;){var i=[0,a,f,t[11]],c=17,o=jC(e,t);if("number"==typeof o)switch(o){case 0:a=i,f=c;continue;case 1:return r<50?gme(r+1|0,i,t,e,c):KQ(gme,[0,i,t,e,c]);case 3:return r<50?Eme(r+1|0,i,t,e,c):KQ(Eme,[0,i,t,e,c]);case 6:return r<50?Fme(r+1|0,i,t,e,c):KQ(Fme,[0,i,t,e,c]);case 9:return r<50?Gme(r+1|0,i,t,e,c):KQ(Gme,[0,i,t,e,c]);case 11:return r<50?Ome(r+1|0,i,t,e,c):KQ(Ome,[0,i,t,e,c]);case 19:return r<50?Rme(r+1|0,i,t,e,c):KQ(Rme,[0,i,t,e,c]);case 26:return r<50?Vme(r+1|0,i,t,e,c):KQ(Vme,[0,i,t,e,c])}else if(2===o[0]){var v=o[1];return r<50?Mme(r+1|0,i,t,e,v,c):KQ(Mme,[0,i,t,e,v,c])}return vme()}}function gme(r,n,t,e,u){var a=[0,n,u,t[11]],f=jC(e,t);if("number"==typeof f&&17===f){var i=[0,a,t[11]],c=jC(e,t);if("number"!=typeof c)switch(c[0]){case 0:var o=c[1];return r<50?qme(r+1|0,i,t,e,o,18):KQ(qme,[0,i,t,e,o,18]);case 1:var v=c[1];return r<50?c_e(r+1|0,i,t,e,v,18):KQ(c_e,[0,i,t,e,v,18]);default:var A=c[1];return r<50?v_e(r+1|0,i,t,e,A,18):KQ(v_e,[0,i,t,e,A,18])}if(7!==c)return vme();return r<50?l_e(r+1|0,i,t,e,0):KQ(l_e,[0,i,t,e,0])}return vme()}function qme(r,n,t,e,u,a){var f=t[11],i=t[12],c=jC(e,t);if("number"==typeof c){var o=c-4|0;if(3>>0){if(21===o){var v=[0,n,a,u,f,i];return r<50?Ime(r+1|0,v,t,e):KQ(Ime,[0,v,t,e])}}else if(1>>0){var A=[0,f,i];try{Rbe(u)}catch(a){var s=MQ(a);if(s===CAe)throw vV([0,wpe,sme(A),Jur],1);throw vV(s,0)}var b=ppe(u,sme([0,f,i])),l=sme([0,f,i]),B=ppe(Wur,dpe),j=sme([0,f,i]),k=ppe([0,ppe([1,b[2]],j),B],l);return r<50?i_e(r+1|0,n,t,e,k,a,c):KQ(i_e,[0,n,t,e,k,a,c])}}return vme()}function Ime(r,n,t,e){var u=19,a=jC(e,t);if("number"==typeof a)switch(a){case 0:return r<50?wme(r+1|0,n,t,e,u):KQ(wme,[0,n,t,e,u]);case 1:return r<50?gme(r+1|0,n,t,e,u):KQ(gme,[0,n,t,e,u]);case 3:return r<50?Eme(r+1|0,n,t,e,u):KQ(Eme,[0,n,t,e,u]);case 6:return r<50?Fme(r+1|0,n,t,e,u):KQ(Fme,[0,n,t,e,u]);case 9:return r<50?Gme(r+1|0,n,t,e,u):KQ(Gme,[0,n,t,e,u]);case 11:return r<50?Ome(r+1|0,n,t,e,u):KQ(Ome,[0,n,t,e,u]);case 19:return r<50?Rme(r+1|0,n,t,e,u):KQ(Rme,[0,n,t,e,u]);case 26:return r<50?Vme(r+1|0,n,t,e,u):KQ(Vme,[0,n,t,e,u])}else if(2===a[0]){var f=a[1];return r<50?Mme(r+1|0,n,t,e,f,u):KQ(Mme,[0,n,t,e,f,u])}return vme()}function Eme(r,n,t,e,u){var a=[0,n,u,t[11]],f=jC(e,t);return"number"==typeof f&&17===f?r<50?Dme(r+1|0,a,t,e,20):KQ(Dme,[0,a,t,e,20]):vme()}function Dme(r,n,t,e,u){var a=[0,n,u,t[11]],f=jC(e,t);if("number"==typeof f){if(7===f){return r<50?P_e(r+1|0,a,t,e,0):KQ(P_e,[0,a,t,e,0])}}else switch(f[0]){case 0:var i=f[1];return r<50?$me(r+1|0,a,t,e,i,21):KQ($me,[0,a,t,e,i,21]);case 2:var c=f[1];return r<50?F_e(r+1|0,a,t,e,c,21):KQ(F_e,[0,a,t,e,c,21])}return vme()}function $me(r,n,t,e,u,a){var f=t[11],i=t[12],c=jC(e,t);if("number"==typeof c&&25===c){var o=jC(e,t);if("number"==typeof o){if(16===o){var v=[0,n,a,u,f,i];return r<50?Tme(r+1|0,v,t,e,22):KQ(Tme,[0,v,t,e,22])}}else if(2===o[0]){var A=t[12],s=o[1],b=t[11],l=jC(e,t),B=ppe(s,sme([0,b,A])),j=[0,f,i];try{Rbe(u)}catch(a){var k=MQ(a);if(k===CAe)throw vV([0,wpe,sme(j),tar],1);throw vV(k,0)}var p=[0,f,A],d=ppe(u,sme([0,f,i])),m=sme(p),_=ppe([0,d,ppe([1,B],sme(p))],m);return r<50?N_e(r+1|0,n,t,e,_,a,l):KQ(N_e,[0,n,t,e,_,a,l])}return vme()}return vme()}function Tme(r,n,t,e,u){var a=[0,n,u,t[11]],f=jC(e,t);if("number"==typeof f)switch(f){case 0:return r<50?wme(r+1|0,a,t,e,23):KQ(wme,[0,a,t,e,23]);case 1:return r<50?gme(r+1|0,a,t,e,23):KQ(gme,[0,a,t,e,23]);case 3:return r<50?Eme(r+1|0,a,t,e,23):KQ(Eme,[0,a,t,e,23]);case 5:return r<50?q_e(r+1|0,a,t,e,0):KQ(q_e,[0,a,t,e,0]);case 6:return r<50?Fme(r+1|0,a,t,e,23):KQ(Fme,[0,a,t,e,23]);case 9:return r<50?Gme(r+1|0,a,t,e,23):KQ(Gme,[0,a,t,e,23]);case 11:return r<50?Ome(r+1|0,a,t,e,23):KQ(Ome,[0,a,t,e,23]);case 19:return r<50?Rme(r+1|0,a,t,e,23):KQ(Rme,[0,a,t,e,23]);case 26:return r<50?Vme(r+1|0,a,t,e,23):KQ(Vme,[0,a,t,e,23])}else switch(f[0]){case 0:var i=f[1];return r<50?Nme(r+1|0,a,t,e,i,23):KQ(Nme,[0,a,t,e,i,23]);case 2:var c=f[1];return r<50?y_e(r+1|0,a,t,e,c,23):KQ(y_e,[0,a,t,e,c,23])}return vme()}function Nme(r,n,t,e,u,a){var f=[0,n,a,u,t[11],t[12]],i=jC(e,t);if("number"==typeof i&&25===i){var c=24,o=jC(e,t);if("number"==typeof o)switch(o){case 0:return r<50?wme(r+1|0,f,t,e,c):KQ(wme,[0,f,t,e,c]);case 1:return r<50?gme(r+1|0,f,t,e,c):KQ(gme,[0,f,t,e,c]);case 3:return r<50?Eme(r+1|0,f,t,e,c):KQ(Eme,[0,f,t,e,c]);case 6:return r<50?Fme(r+1|0,f,t,e,c):KQ(Fme,[0,f,t,e,c]);case 9:return r<50?Gme(r+1|0,f,t,e,c):KQ(Gme,[0,f,t,e,c]);case 11:return r<50?Ome(r+1|0,f,t,e,c):KQ(Ome,[0,f,t,e,c]);case 19:return r<50?Rme(r+1|0,f,t,e,c):KQ(Rme,[0,f,t,e,c]);case 26:return r<50?Vme(r+1|0,f,t,e,c):KQ(Vme,[0,f,t,e,c])}else if(2===o[0]){var v=o[1];return r<50?Mme(r+1|0,f,t,e,v,c):KQ(Mme,[0,f,t,e,v,c])}return vme()}return vme()}function Fme(r,n,t,e,u){for(var a=n,f=u;;){var i=[0,a,f,t[11]],c=jC(e,t);if("number"==typeof c&&17===c){var o=[0,i,t[11]],v=jC(e,t);if("number"==typeof v)switch(v){case 0:return r<50?wme(r+1|0,o,t,e,25):KQ(wme,[0,o,t,e,25]);case 1:return r<50?gme(r+1|0,o,t,e,25):KQ(gme,[0,o,t,e,25]);case 3:return r<50?Eme(r+1|0,o,t,e,25):KQ(Eme,[0,o,t,e,25]);case 6:a=o,f=25;continue;case 7:return r<50?__e(r+1|0,o,t,e,0):KQ(__e,[0,o,t,e,0]);case 9:return r<50?Gme(r+1|0,o,t,e,25):KQ(Gme,[0,o,t,e,25]);case 11:return r<50?Ome(r+1|0,o,t,e,25):KQ(Ome,[0,o,t,e,25]);case 19:return r<50?Rme(r+1|0,o,t,e,25):KQ(Rme,[0,o,t,e,25]);case 26:return r<50?Vme(r+1|0,o,t,e,25):KQ(Vme,[0,o,t,e,25]);default:return vme()}switch(v[0]){case 0:var A=v[1];return r<50?Ume(r+1|0,o,t,e,A,25):KQ(Ume,[0,o,t,e,A,25]);case 1:var s=v[1];return r<50?k_e(r+1|0,o,t,e,s,25):KQ(k_e,[0,o,t,e,s,25]);default:var b=v[1];return r<50?p_e(r+1|0,o,t,e,b,25):KQ(p_e,[0,o,t,e,b,25])}}return vme()}}function Ume(r,n,t,e,u,a){var f=[0,n,a,u,t[11],t[12]],i=jC(e,t);return"number"==typeof i&&25===i?r<50?Ime(r+1|0,f,t,e):KQ(Ime,[0,f,t,e]):vme()}function Gme(r,n,t,e,u){var a=t[11],f=t[12],i=jC(e,t),c=ppe(1,sme([0,a,f]));return r<50?Pme(r+1|0,n,t,e,f,a,c,u,i):KQ(Pme,[0,n,t,e,f,a,c,u,i])}function Pme(r,n,t,e,u,a,f,i,c){switch(i){case 16:var o=n[1],v=o[3],A=o[2],s=o[1],b=ppe(n[2],sme([0,n[3],n[4]])),l=ppe([0,b,f],sme([0,v,u]));return r<50?Wme(r+1|0,s,t,e,u,v,l,A,c):KQ(Wme,[0,s,t,e,u,v,l,A,c]);case 17:var B=n[3],j=n[2],k=n[1],p=ppe([4,f],sme([0,B,u]));return r<50?Pme(r+1|0,k,t,e,u,B,p,j,c):KQ(Pme,[0,k,t,e,u,B,p,j,c]);case 19:var d=n[5],m=n[4],_=n[3],h=n[2],x=n[1],y=[0,m,d];try{Rbe(_)}catch(a){var w=MQ(a);if(w===CAe)throw vV([0,wpe,sme(y),aar],1);throw vV(w,0)}var g=ppe(_,sme([0,m,d])),q=sme([0,m,u]),I=sme([0,m,d]),E=ppe([0,ppe([1,g[2]],I),f],q);return r<50?f_e(r+1|0,x,t,e,E,h,c):KQ(f_e,[0,x,t,e,E,h,c]);case 23:case 35:return r<50?h_e(r+1|0,n,t,e,u,a,f,i,c):KQ(h_e,[0,n,t,e,u,a,f,i,c]);case 24:var D=n[5],$=n[4],T=n[3],N=n[2],F=n[1],U=[0,$,D];try{Rbe(T)}catch(a){var G=MQ(a);if(G===CAe)throw vV([0,wpe,sme(U),rar],1);throw vV(G,0)}var P=ppe(T,sme([0,$,D])),K=ppe([0,[0,P],f],sme([0,$,u]));return r<50?x_e(r+1|0,F,t,e,K,N,c):KQ(x_e,[0,F,t,e,K,N,c]);case 25:case 33:return r<50?O_e(r+1|0,n,t,e,u,a,f,i,c):KQ(O_e,[0,n,t,e,u,a,f,i,c]);case 26:var O=n[3],M=n[2],R=n[1],V=ppe([3,f],sme([0,O,u]));return r<50?Pme(r+1|0,R,t,e,u,O,V,M,c):KQ(Pme,[0,R,t,e,u,O,V,M,c]);case 31:var L=n[4],H=n[2],Q=n[1],C=n[3],S=[0,L,n[5]],Z=sme([0,L,u]),z=sme(S),X=ppe([0,ppe([0,Ibe(C)],z),f],Z);return r<50?f_e(r+1|0,Q,t,e,X,H,c):KQ(f_e,[0,Q,t,e,X,H,c]);case 32:var J=n[5],W=n[4],Y=n[2],rr=n[1],nr=ppe(n[3],sme([0,W,J])),tr=sme([0,W,u]),er=sme([0,W,J]),ur=ppe([0,ppe([1,nr[2]],er),f],tr);return r<50?f_e(r+1|0,rr,t,e,ur,Y,c):KQ(f_e,[0,rr,t,e,ur,Y,c]);case 34:var ar=n[4],fr=n[2],ir=n[1],cr=ppe(n[3],sme([0,ar,n[5]])),or=ppe([0,[0,cr],f],sme([0,ar,u]));return r<50?x_e(r+1|0,ir,t,e,or,fr,c):KQ(x_e,[0,ir,t,e,or,fr,c]);case 50:case 51:return r<50?Kme(r+1|0,n,t,e,u,a,f,i,c):KQ(Kme,[0,n,t,e,u,a,f,i,c]);default:return lme()}}function Kme(r,n,t,e,u,a,f,i,c){if("number"==typeof c){if(5===c){var o=[0,f,0];return r<50?Hme(r+1|0,n,t,e,o,i):KQ(Hme,[0,n,t,e,o,i])}if(24===c){var v=[0,n,i,f,a,u],A=jC(e,t);if("number"==typeof A)switch(A){case 0:return r<50?wme(r+1|0,v,t,e,51):KQ(wme,[0,v,t,e,51]);case 1:return r<50?gme(r+1|0,v,t,e,51):KQ(gme,[0,v,t,e,51]);case 3:return r<50?Eme(r+1|0,v,t,e,51):KQ(Eme,[0,v,t,e,51]);case 5:return r<50?Lme(r+1|0,v,t,e,0):KQ(Lme,[0,v,t,e,0]);case 6:return r<50?Fme(r+1|0,v,t,e,51):KQ(Fme,[0,v,t,e,51]);case 9:return r<50?Gme(r+1|0,v,t,e,51):KQ(Gme,[0,v,t,e,51]);case 11:return r<50?Ome(r+1|0,v,t,e,51):KQ(Ome,[0,v,t,e,51]);case 19:return r<50?Rme(r+1|0,v,t,e,51):KQ(Rme,[0,v,t,e,51]);case 26:return r<50?Vme(r+1|0,v,t,e,51):KQ(Vme,[0,v,t,e,51])}else if(2===A[0]){var s=A[1];return r<50?Mme(r+1|0,v,t,e,s,51):KQ(Mme,[0,v,t,e,s,51])}return vme()}}return vme()}function Ome(r,n,t,e,u){for(var a=n,f=u;;){var i=[0,a,f,t[11]],c=26,o=jC(e,t);if("number"==typeof o)switch(o){case 0:return r<50?wme(r+1|0,i,t,e,c):KQ(wme,[0,i,t,e,c]);case 1:return r<50?gme(r+1|0,i,t,e,c):KQ(gme,[0,i,t,e,c]);case 3:return r<50?Eme(r+1|0,i,t,e,c):KQ(Eme,[0,i,t,e,c]);case 6:return r<50?Fme(r+1|0,i,t,e,c):KQ(Fme,[0,i,t,e,c]);case 9:return r<50?Gme(r+1|0,i,t,e,c):KQ(Gme,[0,i,t,e,c]);case 11:a=i,f=c;continue;case 19:return r<50?Rme(r+1|0,i,t,e,c):KQ(Rme,[0,i,t,e,c]);case 26:return r<50?Vme(r+1|0,i,t,e,c):KQ(Vme,[0,i,t,e,c])}else if(2===o[0]){var v=o[1];return r<50?Mme(r+1|0,i,t,e,v,c):KQ(Mme,[0,i,t,e,v,c])}return vme()}}function Mme(r,n,t,e,u,a){var f=t[11],i=t[12],c=jC(e,t),o=bme(i,f,u);return r<50?Pme(r+1|0,n,t,e,i,f,o,a,c):KQ(Pme,[0,n,t,e,i,f,o,a,c])}function Rme(r,n,t,e,u){var a=[0,n,u,t[11]],f=jC(e,t);return"number"==typeof f&&16===f?r<50?Tme(r+1|0,a,t,e,27):KQ(Tme,[0,a,t,e,27]):vme()}function Vme(r,n,t,e,u){var a=t[11],f=t[12],i=jC(e,t),c=ppe(0,sme([0,a,f]));return r<50?Pme(r+1|0,n,t,e,f,a,c,u,i):KQ(Pme,[0,n,t,e,f,a,c,u,i])}function Lme(r,n,t,e,u){var a=n[2],f=n[1],i=[0,n[3],u];return r<50?Hme(r+1|0,f,t,e,i,a):KQ(Hme,[0,f,t,e,i,a])}function Hme(r,n,t,e,u,a){return 50===a?r<50?Qme(r+1|0,n,t,e,u):KQ(Qme,[0,n,t,e,u]):51===a?r<50?Lme(r+1|0,n,t,e,u):KQ(Lme,[0,n,t,e,u]):lme()}function Qme(r,n,t,e,u){var a=t[12],f=jC(e,t),i=[0,n[1],u];if("number"==typeof f)switch(f){case 4:case 22:return r<50?Cme(r+1|0,i,t,e,a,0,f):KQ(Cme,[0,i,t,e,a,0,f])}else if(0===f[0]){var c=f[1],o=t[12],v=t[11],A=jC(e,t),s=[0,v,o];try{Rbe(c)}catch(f){var b=MQ(f);if(b===CAe)throw vV([0,wpe,sme(s),nar],1);throw vV(b,0)}var l=[0,c];return r<50?Cme(r+1|0,i,t,e,o,l,A):KQ(Cme,[0,i,t,e,o,l,A])}return vme()}function Cme(r,n,t,e,u,a,f){var i=n[1],c=i[1],o=c[5],v=c[4],A=c[2],s=c[1],b=n[2],l=i[3],B=ppe(c[3],sme([0,v,o])),j=[0,v,o],k=[0,v,u];if(B[2]!==fq){var p=B[2];throw vV([0,wpe,sme(j),p],1)}var d=ppe([0,l,b,a],sme(k));if("number"==typeof f){if(4===f){var m=t[12],_=[0,[0,s,A,d,v,u],m],h=jC(e,t);if("number"==typeof h){if(22===h)return function(r,n,t,e){return PQ(jme(0,r,n,t,e))}(_,t,m,0)}else if(2===h[0]){var x=h[1];return r<50?Sme(r+1|0,_,t,e,x,52):KQ(Sme,[0,_,t,e,x,52])}return vme()}if(22===f)return function(r,n,t,e,u,a){return PQ(kme(0,r,n,t,e,u,a))}(s,t,u,v,[0,d,0],A)}return vme()}function Sme(r,n,t,e,u,a){var f=[0,n,a,u,t[11],t[12]],i=jC(e,t);if("number"==typeof i){if(26===i)return r<50?Jme(r+1|0,f,t,e,47):KQ(Jme,[0,f,t,e,47])}else if(0===i[0]){var c=i[1];return r<50?Zme(r+1|0,f,t,e,c,47):KQ(Zme,[0,f,t,e,c,47])}return vme()}function Zme(r,n,t,e,u,a){var f=t[11],i=t[12],c=jC(e,t),o=[0,f,i];try{Rbe(u)}catch(a){var v=MQ(a);if(v===CAe)throw vV([0,wpe,sme(o),uar],1);throw vV(v,0)}var A=[1,u];return r<50?zme(r+1|0,n,t,e,A,a,c):KQ(zme,[0,n,t,e,A,a,c])}function zme(r,n,t,e,u,a,f){if(47<=a)switch(a-47|0){case 0:if("number"==typeof f&&13<=f)switch(f-13|0){case 0:var i=[0,n,a,u],c=jC(e,t);if("number"==typeof c){if(26===c)return r<50?Jme(r+1|0,i,t,e,48):KQ(Jme,[0,i,t,e,48])}else if(0===c[0]){var o=c[1];return r<50?Zme(r+1|0,i,t,e,o,48):KQ(Zme,[0,i,t,e,o,48])}return vme();case 1:var v=jC(e,t),A=[0,[0,0,u]];return r<50?Xme(r+1|0,n,t,e,A,a,v):KQ(Xme,[0,n,t,e,A,a,v]);case 7:var s=[0,n,a,u],b=jC(e,t);if("number"==typeof b){if(26===b)return r<50?Jme(r+1|0,s,t,e,49):KQ(Jme,[0,s,t,e,49])}else if(0===b[0]){var l=b[1];return r<50?Zme(r+1|0,s,t,e,l,49):KQ(Zme,[0,s,t,e,l,49])}return vme();case 12:var B=jC(e,t),j=[0,[0,1,u]];return r<50?Xme(r+1|0,n,t,e,j,a,B):KQ(Xme,[0,n,t,e,j,a,B])}return vme();case 1:if("number"==typeof f&&25===f){var k=jC(e,t),p=n[2],d=n[1],m=[1,[0,0,n[3],u]];return r<50?Xme(r+1|0,d,t,e,m,p,k):KQ(Xme,[0,d,t,e,m,p,k])}return vme();case 2:if("number"==typeof f&&25===f){var _=jC(e,t),h=n[2],x=n[1],y=[1,[0,1,n[3],u]];return r<50?Xme(r+1|0,x,t,e,y,h,_):KQ(Xme,[0,x,t,e,y,h,_])}return vme()}return lme()}function Xme(r,n,t,e,u,a,f){if("number"==typeof f&&16===f){var i=[0,[0,n,a,u],t[11]],c=jC(e,t);if("number"==typeof c)switch(c){case 0:return r<50?wme(r+1|0,i,t,e,50):KQ(wme,[0,i,t,e,50]);case 1:return r<50?gme(r+1|0,i,t,e,50):KQ(gme,[0,i,t,e,50]);case 3:return r<50?Eme(r+1|0,i,t,e,50):KQ(Eme,[0,i,t,e,50]);case 5:return r<50?Qme(r+1|0,i,t,e,0):KQ(Qme,[0,i,t,e,0]);case 6:return r<50?Fme(r+1|0,i,t,e,50):KQ(Fme,[0,i,t,e,50]);case 9:return r<50?Gme(r+1|0,i,t,e,50):KQ(Gme,[0,i,t,e,50]);case 11:return r<50?Ome(r+1|0,i,t,e,50):KQ(Ome,[0,i,t,e,50]);case 19:return r<50?Rme(r+1|0,i,t,e,50):KQ(Rme,[0,i,t,e,50]);case 26:return r<50?Vme(r+1|0,i,t,e,50):KQ(Vme,[0,i,t,e,50])}else if(2===c[0]){var o=c[1];return r<50?Mme(r+1|0,i,t,e,o,50):KQ(Mme,[0,i,t,e,o,50])}return vme()}return vme()}function Jme(r,n,t,e,u){var a=jC(e,t);if("number"!=typeof a&&0===a[0]){var f=a[1],i=jC(e,t),c=[0,f];return r<50?zme(r+1|0,n,t,e,c,u,i):KQ(zme,[0,n,t,e,c,u,i])}return vme()}function Wme(r,n,t,e,u,a,f,i,c){if(15===i)return r<50?n_e(r+1|0,n,t,e,u,a,f,i,c):KQ(n_e,[0,n,t,e,u,a,f,i,c]);if(44<=i)switch(i-44|0){case 0:case 9:return r<50?n_e(r+1|0,n,t,e,u,a,f,i,c):KQ(n_e,[0,n,t,e,u,a,f,i,c]);case 1:var o=[0,n,i,f,a,u];if("number"==typeof c&&4===c){var v=t[12],A=[0,o,v],s=jC(e,t);r:{if("number"==typeof s)switch(s){case 2:return r<50?yme(r+1|0,A,t,e,53):KQ(yme,[0,A,t,e,53]);case 18:return r<50?Yme(r+1|0,A,t,e,53):KQ(Yme,[0,A,t,e,53]);case 22:break;default:break r}else if(2!==s[0])break r;return r<50?r_e(r+1|0,A,t,e,v,0,s):KQ(r_e,[0,A,t,e,v,0,s])}return vme()}return vme()}return lme()}function Yme(r,n,t,e,u){var a=t[11],f=jC(e,t);if("number"!=typeof f&&0===f[0]){var i=f[1],c=t[12],o=t[11],v=jC(e,t),A=[0,o,c];try{Rbe(i)}catch(c){var s=MQ(c);if(s===CAe)throw vV([0,wpe,sme(A),far],1);throw vV(s,0)}var b=ppe([1,i,[0,iar]],sme([0,a,c]));return r<50?Wme(r+1|0,n,t,e,c,a,b,u,v):KQ(Wme,[0,n,t,e,c,a,b,u,v])}return vme()}function r_e(r,n,t,e,u,a,f){var i=n[1],c=[0,i[1],i[2],[0,i[3],a],i[4],u];if("number"==typeof f){if(22===f)return Bme(c,t,u,u,0)}else if(2===f[0]){var o=f[1];return r<50?Sme(r+1|0,c,t,e,o,46):KQ(Sme,[0,c,t,e,o,46])}return vme()}function n_e(r,n,t,e,u,a,f,i,c){r:{if("number"==typeof c)switch(c){case 4:var o=t[12],v=[0,[0,n,i,f,a,u],o],A=jC(e,t);n:{if("number"==typeof A)switch(A){case 2:return r<50?yme(r+1|0,v,t,e,44):KQ(yme,[0,v,t,e,44]);case 18:return r<50?Yme(r+1|0,v,t,e,44):KQ(Yme,[0,v,t,e,44]);case 3:case 22:break;default:break n}else if(2!==A[0])break n;return r<50?t_e(r+1|0,v,t,e,o,0,A):KQ(t_e,[0,v,t,e,o,0,A])}return vme();case 3:case 22:break;default:break r}else if(2!==c[0])break r;var s=[0,f,0];return r<50?e_e(r+1|0,n,t,e,u,a,s,i,c):KQ(e_e,[0,n,t,e,u,a,s,i,c])}return vme()}function t_e(r,n,t,e,u,a,f){var i=n[1],c=i[4],o=i[2],v=i[1],A=[0,i[3],a];return r<50?e_e(r+1|0,v,t,e,u,c,A,o,f):KQ(e_e,[0,v,t,e,u,c,A,o,f])}function e_e(r,n,t,e,u,a,f,i,c){return 15===i?r<50?u_e(r+1|0,n,t,e,u,a,f,i,c):KQ(u_e,[0,n,t,e,u,a,f,i,c]):44===i?r<50?t_e(r+1|0,n,t,e,u,f,c):KQ(t_e,[0,n,t,e,u,f,c]):53<=i?r<50?r_e(r+1|0,n,t,e,u,f,c):KQ(r_e,[0,n,t,e,u,f,c]):lme()}function u_e(r,n,t,e,u,a,f,i,c){var o=[0,n,i,f,a,u];if("number"==typeof c){if(3===c){var v=[0,o,t[11]],A=jC(e,t);if("number"==typeof A){if(25===A){return r<50?a_e(r+1|0,v,t,e,0,A):KQ(a_e,[0,v,t,e,0,A])}}else if(2===A[0]){var s=t[11],b=t[12],l=jC(e,t);sme([0,s,b]);return r<50?a_e(r+1|0,v,t,e,0,l):KQ(a_e,[0,v,t,e,0,l])}return vme()}if(22===c)return pme(o,t,u,u,0,c)}return vme()}function a_e(r,n,t,e,u,a){var f=[0,n,u];if("number"==typeof a&&25===a){var i=jC(e,t);if("number"==typeof i)switch(i){case 16:return r<50?Tme(r+1|0,f,t,e,39):KQ(Tme,[0,f,t,e,39]);case 17:return r<50?Dme(r+1|0,f,t,e,39):KQ(Dme,[0,f,t,e,39])}else if(2===i[0]){var c=t[12],o=[0,f,39,i[1],t[11],c],v=jC(e,t);if("number"==typeof v){if(4===v)return hme(o,t,e,40);if(22===v)return _me(o,t,c,v)}return vme()}return vme()}return vme()}function f_e(r,n,t,e,u,a,f){if(26<=a){if(33===a)return r<50?B_e(r+1|0,n,t,e,u,a,f):KQ(B_e,[0,n,t,e,u,a,f]);if(38===a)return r<50?i_e(r+1|0,n,t,e,u,a,f):KQ(i_e,[0,n,t,e,u,a,f])}else{if(18===a)return r<50?i_e(r+1|0,n,t,e,u,a,f):KQ(i_e,[0,n,t,e,u,a,f]);if(25<=a)return r<50?B_e(r+1|0,n,t,e,u,a,f):KQ(B_e,[0,n,t,e,u,a,f])}return lme()}function i_e(r,n,t,e,u,a,f){if("number"==typeof f){if(4===f){var i=[0,[0,n,a,u],t[12]],c=jC(e,t);if("number"!=typeof c)switch(c[0]){case 0:var o=c[1];return r<50?qme(r+1|0,i,t,e,o,38):KQ(qme,[0,i,t,e,o,38]);case 1:var v=c[1];return r<50?c_e(r+1|0,i,t,e,v,38):KQ(c_e,[0,i,t,e,v,38]);default:var A=c[1];return r<50?v_e(r+1|0,i,t,e,A,38):KQ(v_e,[0,i,t,e,A,38])}if(7!==c)return vme();return r<50?s_e(r+1|0,i,t,e,0):KQ(s_e,[0,i,t,e,0])}if(7===f){var s=[0,u,0];return r<50?b_e(r+1|0,n,t,e,s,a):KQ(b_e,[0,n,t,e,s,a])}}return vme()}function c_e(r,n,t,e,u,a){var f=t[11],i=t[12],c=jC(e,t);if("number"==typeof c){var o=c-4|0;if(3>>0){if(21===o){var v=[0,n,a,u,f,i];return r<50?o_e(r+1|0,v,t,e):KQ(o_e,[0,v,t,e])}}else if(1>>0){var A=sme([0,f,i]),s=ppe(Xur,dpe),b=sme([0,f,i]),l=ppe([0,ppe([0,Ibe(u)],b),s],A);return r<50?i_e(r+1|0,n,t,e,l,a,c):KQ(i_e,[0,n,t,e,l,a,c])}}return vme()}function o_e(r,n,t,e){var u=31,a=jC(e,t);if("number"==typeof a)switch(a){case 0:return r<50?wme(r+1|0,n,t,e,u):KQ(wme,[0,n,t,e,u]);case 1:return r<50?gme(r+1|0,n,t,e,u):KQ(gme,[0,n,t,e,u]);case 3:return r<50?Eme(r+1|0,n,t,e,u):KQ(Eme,[0,n,t,e,u]);case 6:return r<50?Fme(r+1|0,n,t,e,u):KQ(Fme,[0,n,t,e,u]);case 9:return r<50?Gme(r+1|0,n,t,e,u):KQ(Gme,[0,n,t,e,u]);case 11:return r<50?Ome(r+1|0,n,t,e,u):KQ(Ome,[0,n,t,e,u]);case 19:return r<50?Rme(r+1|0,n,t,e,u):KQ(Rme,[0,n,t,e,u]);case 26:return r<50?Vme(r+1|0,n,t,e,u):KQ(Vme,[0,n,t,e,u])}else if(2===a[0]){var f=a[1];return r<50?Mme(r+1|0,n,t,e,f,u):KQ(Mme,[0,n,t,e,f,u])}return vme()}function v_e(r,n,t,e,u,a){var f=t[11],i=t[12],c=jC(e,t);if("number"==typeof c){var o=c-4|0;if(3>>0){if(21===o){var v=[0,n,a,u,f,i];return r<50?A_e(r+1|0,v,t,e):KQ(A_e,[0,v,t,e])}}else if(1>>0){var A=ppe(u,sme([0,f,i])),s=sme([0,f,i]),b=ppe(Yur,dpe),l=sme([0,f,i]),B=ppe([0,ppe([1,A[2]],l),b],s);return r<50?i_e(r+1|0,n,t,e,B,a,c):KQ(i_e,[0,n,t,e,B,a,c])}}return vme()}function A_e(r,n,t,e){var u=32,a=jC(e,t);if("number"==typeof a)switch(a){case 0:return r<50?wme(r+1|0,n,t,e,u):KQ(wme,[0,n,t,e,u]);case 1:return r<50?gme(r+1|0,n,t,e,u):KQ(gme,[0,n,t,e,u]);case 3:return r<50?Eme(r+1|0,n,t,e,u):KQ(Eme,[0,n,t,e,u]);case 6:return r<50?Fme(r+1|0,n,t,e,u):KQ(Fme,[0,n,t,e,u]);case 9:return r<50?Gme(r+1|0,n,t,e,u):KQ(Gme,[0,n,t,e,u]);case 11:return r<50?Ome(r+1|0,n,t,e,u):KQ(Ome,[0,n,t,e,u]);case 19:return r<50?Rme(r+1|0,n,t,e,u):KQ(Rme,[0,n,t,e,u]);case 26:return r<50?Vme(r+1|0,n,t,e,u):KQ(Vme,[0,n,t,e,u])}else if(2===a[0]){var f=a[1];return r<50?Mme(r+1|0,n,t,e,f,u):KQ(Mme,[0,n,t,e,f,u])}return vme()}function s_e(r,n,t,e,u){var a=n[1],f=a[2],i=a[1],c=[0,a[3],u];return r<50?b_e(r+1|0,i,t,e,c,f):KQ(b_e,[0,i,t,e,c,f])}function 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r<50?Eme(r+1|0,c,t,e,35):KQ(Eme,[0,c,t,e,35]);case 5:return r<50?w_e(r+1|0,c,t,e,0):KQ(w_e,[0,c,t,e,0]);case 6:return r<50?Fme(r+1|0,c,t,e,35):KQ(Fme,[0,c,t,e,35]);case 9:return r<50?Gme(r+1|0,c,t,e,35):KQ(Gme,[0,c,t,e,35]);case 11:return r<50?Ome(r+1|0,c,t,e,35):KQ(Ome,[0,c,t,e,35]);case 19:return r<50?Rme(r+1|0,c,t,e,35):KQ(Rme,[0,c,t,e,35]);case 26:return r<50?Vme(r+1|0,c,t,e,35):KQ(Vme,[0,c,t,e,35])}else switch(o[0]){case 0:var v=o[1];return r<50?Nme(r+1|0,c,t,e,v,35):KQ(Nme,[0,c,t,e,v,35]);case 2:var A=o[1];return r<50?y_e(r+1|0,c,t,e,A,35):KQ(y_e,[0,c,t,e,A,35])}return vme()}}return vme()}function y_e(r,n,t,e,u,a){var f=t[11],i=t[12],c=jC(e,t);r:if("number"==typeof c){var o=c+-24|0;if(1>>0){if(-19!==o)break r}else if(o){var v=[0,n,a,u,f,i],A=34,s=jC(e,t);if("number"==typeof s)switch(s){case 0:return r<50?wme(r+1|0,v,t,e,A):KQ(wme,[0,v,t,e,A]);case 1:return r<50?gme(r+1|0,v,t,e,A):KQ(gme,[0,v,t,e,A]);case 3:return r<50?Eme(r+1|0,v,t,e,A):KQ(Eme,[0,v,t,e,A]);case 6:return 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i=a[1],c=A0((function(r,n){return dL(r[1],n[1])}),a0((function(r){var n=r[2];return 0===n[0]?[0,[0,n[1][2],n[2]]]:0}))(i));return AY((function(n){return 2===n[0]?BGe(r,n[1][2],n[2][2]):0}),nle((function(r,n){return dL(r[1],n[1])}),$xe(GY((function(r){return r[1]}),c),e)[2],c));case 5:var o=a[1];e=Fxe(e),u=o;break;case 6:var v=a[1],A=a[2],s=Txe(v[2],e),b=Rxe(v[2],s);e=b?b[1]:1,u=A;break;case 7:var l=a[2];BGe(r,e,a[1]),u=l;break;default:u=a[1]}}}function jGe(r){var n=r[3];return PFe(n?n[1]+qd+r[4]:r[4])}function kGe(r){var n=r[3];return n?[0,lFe(n[1])]:0}function pGe(r,n){var t=VY((function(n,t){return function n(e){for(var u=e;;){if(!u)return[0,t,0];var a=u[2],f=u[1];if(kC(r,t,f))return kC(r,f,t)?[0,f,n(a)]:u;if(!kC(r,f,t))return[0,f,n(a)];u=a}}(n)}),0,n);return t&&!t[2]?[0,t[1]]:0}function dGe(r){var n=r[2],t=r[1],e=uxe(n);return"number"!=typeof e&&3===e[0]&&3===e[1]?[0,[0,t,[0,n,e[2]]]]:0}function mGe(r){return dGe([0,r[1],r[2][1]])}function _Ge(r,n){return r?[43,n]:[2,[0,dpe,n,$Nr]]}function hGe(r,n){return[19,[0,n[1],r,NS],n,[0,0]]}function xGe(r,n,t,e){function u(r){return Pye(0,r,e)}function a(r){var n=r[2],t=n[1],e=r[1],a=n[2];return u(t)?[0,[0,[0,dpe,[2,[0,dpe,e,DNr]],NS],t,0,e,a]]:0}var f=nwe[36].call(null,r[1]),i=i0((function(r){return t===r[4]?1:0}),l0((function(r){return iY(a,f)}))),c=i[1];function o(r){var n=r[2],t=r[1];if("number"!=typeof n&&10===n[0])return 0;var e=r[2],a=r[3];return u(e)?[0,[0,t,e,a[3]]]:0}function v(r,n,e){var u=nwe[36].call(null,n);function a(r){return iY(e,u)}function f(n){var t=n[1],e=n[2][2];return GY((function(n){var e=n[1],u=n[3],a=n[2];return[0,[0,dpe,hGe(_Ge(r,t),[0,dpe,e,0]),NS],a,[0,t],e,u]}),a0(o)(e))}return i0((function(r){return t===r[4]?1:0}),UY(l0((function(r){return fY(f,a)}))))}var A=i[2];if(!c||c[2]){var s=v(0,r[1],mGe),b=s[1];l=TW(A,s[2]),B=TW(c,b)}else var l=0,B=[0,c[1],0];function j(r,n){return Pye(0,r[2],n[2])}if(!B){var k=v(1,r[2],dGe)[1],p=dY(Jve[1])?pGe(j,k):0;return p?[0,p[1]]:[1,[0,k,l,function(r){return MY((function(e){var u=e[5][1][1]===n[1][1]?1:0;if(!u)return u;var a=hpe(n),f=ype(xpe,n),i=f?AT+f[1]:INr,c=e[1][2];r:{if(19===c[0]){var o=c[1][2];if(2===o[0]){var v=o[1][2],A="the existing";break r}}var s=Gbe(t,e[4]);n:{if(s){var b=s[1];if(!nwe[3].call(null,b,r[1])){var l=b;break n}}l=""}v=l,A="a new"}var B=jGe(e);return xC(eUe(r,e[5],ENr),B,v,t,A,v,t,a,i)}),l)}]]}if(!B[2])return[0,B[1]];var d=pGe(j,B);return d?[0,d[1]]:[1,[1,function(r){var u=GY(jGe,B),a=0===l?0:[0,"The other explicit candidates are: "+F0(yNr,GY(jGe,l)),0],f=F0(wNr,u),i=[0,jC(F3(gNr),f),a],c="named "+PFe(t);return pC(rUe([0,i],0,0,r,n,"M0231",qNr),c,OFe,e)}]]}function yGe(r,n){var t=uxe(r);r:if("number"!=typeof t&&8===t[0]){var e=t[4];if(e){var u=e[1];if("number"!=typeof u&&11===u[0]){var a=t[3];if("self"!==u[1])break r;var f=u[2];try{var i=_Ne(0,a,0)([0,[0,n,f,dpe],0],[0,f,0]),c=i[1];hNe(c,i[2],0);var o=[0,c]}catch(i){o=0}if(!o)return 0;var v=o[1];return[0,[0,nxe(v,f),t,v]]}}}return 0}function wGe(r,n,t){function e(r,e){return r===n[2]?yGe(e,t):0}var u=nwe[29].call(null,n[2],r[1]);if(u){var a=e(n[2],u[1][1]);if(a)var f=a[1],i=[0,[0,0,[0,n[1],[2,[0,n[1],n[2],xNr]],NS],f[1],f[2],f[3]]];else i=0;var c=i}else c=0;function o(r,t,u){var a=nwe[36].call(null,t);function f(r){return iY(u,a)}function i(t){var u=t[1];return jY((function(t){var e=t[3],a=t[2],f=t[1],i=hGe(_Ge(r,u),n);return[0,[0,u],[0,n[1],i,NS],f,a,e]}),e0((function(r){return e(r[1],r[2])}),t[2][2]))}return l0((function(r){return iY(i,f)}))}function v(r,n){return Pye(0,n[3],r[3])}if(c)return[0,c[1]];var A=o(0,r[1],mGe);if(A){if(!A[2])return[0,A[1]];var s=pGe(v,A);return s?[0,s[1]]:[1,[1,function(r){var t=F0(_Nr,a0((function(r){return r[1]}))(A)),e=n[2];return kC(rUe(0,0,0,r,n[1],"M0224",hNr),e,t)}]]}var b=o(1,r[2],dGe);if(b&&!b[2]){var l=b[1];if(dY(Jve[1]))return[0,l]}var B=dY(Jve[1])?pGe(v,b):0;return B?[0,B[1]]:[1,[0,function(r){return a0((function(r){return jY(lFe,r[1])}))(b)}]]}function gGe(r,n){return qGe(r,n)[2]}function qGe(r,n){var t=IGe(EGe,gxe,r,n),e=axe(t);return 2===e&&kC(rUe(0,0,0,r,n[1],"M0053",lwr),MFe,t),[0,t,e]}function IGe(r,n,t,e){if(2!==e[3][1])throw vV([0,NC,Bwr],1);var u=kC(r,t,e);if(2===u)throw vV([0,NC,jwr],1);var a=jC(n,u);if(1-t[13]){var f=uxe(a);if(2===f)throw vV([0,NC,kwr],1);e[3]=[0,f,JNe(e)]}return a}function EGe(r,n){var t=r[12],e=r[10],u=[0,r[1],r[2],r[3],r[4],r[5],r[6],r[7],r[8],r[9],0,0,[0,n[2],r[12]],r[13],r[14],r[15],r[16],r[17],r[18],r[19],r[20],r[21],r[22],r[23],r[24],r[25],r[26]],a=n[2];switch(a[0]){case 0:return rUe(0,0,0,u,n[1],"M0232",mwr);case 1:return rUe(0,0,0,u,n[1],"M0054",_wr);case 2:var f=a[1];wFe(u,f[2]);var i=nwe[29].call(null,f[2],u[1]);if(i){var c=i[1],o=c[1];if("number"==typeof o&&2<=o){var v=f[2];return jC(rUe(0,0,0,u,f[1],"M0055",hwr),v)}if(!c[4]){var A=jxe(o)?ywr:wwr;return f[3]=A,o}if(!tAe[1])return o;var s=f[2];return jC(rUe(0,0,0,u,f[1],"M0056",xwr),s)}if(dY(Jve[1]))var b=nwe[36].call(null,u[2]),l=function(r){var n=r[1],t=n!==bc?1:0;if(t)var e=kve(sve(n))===f[2]?1:0;else e=t;return e},B=l0((function(r){return cY(l,b)}));else B=0;if(!B){var j=u[1],k=f[2],p=f[1],d=nwe[45].call(null,u[1]),m=sFe(Twr,f[2],d);return pC(rUe(0,[0,fUe(u,f[1],m)],0,u,p,$wr,Dwr),k,ZFe,j)}var _=B[1],h=_[2],x=_[1];if(B[2]){var y=GY((function(r){return lFe(r[1])}),B),w=u[1],g=f[2],q=f[1],I=F0(Iwr,y);return pC(rUe(0,[0,[0,jC(uUe(u,f[1],Ewr),I),0]],0,u,q,qwr,gwr),g,ZFe,w)}return f[3]=[0,0,[0,[0,n[1],[43,x],[0,h,0]]]],h;case 3:return[2,oGe(u,a[1],n[1])];case 4:var E=a[1];return 1-u[13]&&NGe(u,jS,E),rUe(0,0,0,u,n[1],"M0058",Nwr);case 5:var D=a[2],$=a[1],T=SEe(0,gGe(u,a[3]));if(1-u[13]){if(2!==$[1])throw vV([0,NC,Fwr],1);1-CEe(DEe,D,T)&&kC(rUe(0,0,0,u,n[1],Gwr,Uwr),MFe,T),$[1]=T}return T;case 6:var N=a[3],F=a[1],U=DGe(u,a[2],a[4]),G=U[2],P=U[1],K=axe(G),O=axe(P),M=Yye([0,u[24]],O,K);if(1-u[13]){if(2!==F[1])throw vV([0,NC,Pwr],1);if(CEe(NEe,N,M)){var R=1===N?1:0;(R?yUe(u,n[1],M,sS):R)&&kC(tUe(0,0,0,u,n[1],Owr,Kwr),MFe,M)}else sGe(u,n[1],P,G);F[1]=M}return M;case 7:var V=a[4],L=a[2],H=a[1],Q=a[3];if(1-u[13]){if(2!==H[1])throw vV([0,NC,Mwr],1);var C=DGe(u,L,V),S=C[2],Z=C[1],z=axe(S),X=axe(Z),J=Yye([0,u[24]],X,z);1-CEe(QEe,Q,J)&&sGe(u,n[1],Z,S);var W=1-(yUe(u,L[1],J,Z)||yUe(u,V[1],J,S));if(W)var Y=hUe(u,L[1],sS,Z),rr=1-(Y?hUe(u,V[1],sS,S):Y);else rr=W;rr&&(yUe(u,n[1],Z,S)?dC(tUe(0,0,0,u,n[1],Vwr,Rwr),MFe,Z,MFe,J):_C(tUe(0,0,0,u,n[1],Hwr,Lwr),MFe,Z,MFe,S,MFe,J)),H[1]=J}return AS;case 8:var nr=a[1],tr=nr[2],er=nr[1];if(1-u[13]){var ur=gGe(u,tr);1-xEe(ur)&&kC(rUe(0,0,0,u,n[1],"M0063",Qwr),MFe,ur),er[1]=ur}return jS;case 9:var ar=a[1];if(1-u[13]){var fr=GY((function(r){return IGe(EGe,gxe,u,r)}),ar);if(1-aye(Hhe(fr))){var ir=Hhe(fr);kC(rUe(0,0,0,u,n[1],"M0175",Cwr),MFe,ir)}}return Swr;case 10:return rUe(0,0,0,u,n[1],"M0176",Zwr);case 11:return[7,GY((function(r){return IGe(EGe,gxe,u,r)}),a[1])];case 12:var cr=a[2],or=a[1],vr=gGe(u,or);try{var Ar=Uxe(cr,vr);if(0<=cr)for(var sr=Ar,br=cr;;){if(sr){var lr=sr[2],Br=sr[1];if(0!==br){sr=lr,br=br-1|0;continue}var jr=[0,Br]}else jr=0;var kr=jr;break}else kr=yW(I6);return kr?kr[1]:pC(rUe(0,0,0,u,n[1],"M0066",zwr),cr,MFe,vr)}catch(oe){var pr=MQ(oe);if(pr[1]===qC)return kC(rUe(0,0,0,u,or[1],"M0067",Xwr),MFe,vr);throw vV(pr,0)}case 13:return[6,IGe(EGe,gxe,u,a[1])];case 14:var dr=a[1];return[6,IGe(EGe,gxe,BUe(u,Wwr,Jwr),dr)];case 15:var mr=a[1],_r=gGe(u,mr);pY(nwe[29].call(null,Ywr,u[7]))&&nUe(0,0,0,u,n[1],ngr,rgr);try{return Fxe(_r)}catch(oe){var hr=MQ(oe);if(hr[1]===qC)return kC(rUe(0,0,0,u,mr[1],"M0065",tgr),MFe,_r);throw vV(hr,0)}case 16:var xr=a[2],yr=a[1],wr=a[4],gr=a[3];APe(u,xr,yr);r:if(1===xr[2]&&(cUe(ugr,u,n[1],"M0068",0,0,0,egr),t&&38===t[1][0])){var qr=t[2];if(qr&&39===qr[1][0]&&qr[2]){cUe(fgr,u,n[1],"M0069",0,0,0,agr);break r}}var Ir=1===xr[2]?[0,u[1],u[2],u[3],u[4],u[5],u[6],u[7],u[8],[3,rge],1,u[11],u[12],u[13],u[14],u[15],u[16],u[17],u[18],u[19],u[20],u[21],u[22],u[23],u[24],u[25],u[26]]:u,Er=oPe(Ir,xr,yr,wr,n[1]);r:if(!u[13]){var Dr=gr[2];if(Dr){var $r=SUe(Ir,Dr[1]),Tr=xUe(u,n[1],Er,$r);if(Tr){var Nr=Tr[1];_C(nUe(0,0,0,u,n[1],"M0192",igr),MFe,Er,MFe,$r,(function(r,n){return VFe(Er,$r,r,n)}),Nr)}else OGe(u,$r,a);break r}}return Er;case 17:return TGe(u,0,n[1],a[1],a[2]);case 18:var Fr=a[1],Ur=IGe(EGe,gxe,u,a[2]);return jhe(u[24],Fr[1]),[4,[0,[0,Fr[2],Ur,[0,phe[1],Fr[1],phe[3]]],0]];case 19:var Gr=$Ge(u,n[1],a[1],a[2],[0,cgr,function(r){return 1}]);if(0===Gr[0])return Gr[1];var Pr=Gr[1][2];if(u[13]&&u[23])return 1;var Kr=jC(Pr,0);throw ide(u[15],Kr),vV(EFe,1);case 20:var Or=a[1],Mr=a[2];if(1-u[13]){var Rr=Or[2];if(2===Rr[0]){var Vr=nwe[4].call(null,Rr[1][2],rGr,u[18][1]);u[18][1]=Vr}var Lr=IGe(EGe,(function(r){return r}),u,Or);try{NGe(u,wxe(Lr),Mr)}catch(oe){var Hr=MQ(oe);if(Hr[1]!==qC)throw vV(Hr,0);rUe(0,0,0,u,n[1],"M0073",ogr)}}return vS;case 21:var Qr=a[1],Cr=GY((function(r){return IGe(EGe,gxe,u,r)}),a[2]),Sr=[0,u[24]],Zr=VY((function(r,n){return Yye(Sr,r,n)}),1,Cr),zr=1-u[13];return(zr?QGe(Zr,Cr):zr)&&kC(tUe(0,0,0,u,n[1],Agr,vgr),OFe,[5,Zr]),[5,Qr[2]?[10,Zr]:Zr];case 22:var Xr=a[2],Jr=a[1],Wr=gGe(u,Jr);if("number"!=typeof Wr&&2===Wr[0]&&16===Wr[1])return 1-u[13]&&NGe(u,sS,Xr),sgr;try{var Yr=Nxe(Wr);return 1-u[13]&&NGe(u,sS,Xr),Yr}catch(oe){var rn=MQ(oe);if(rn[1]===qC)return kC(rUe(0,0,0,u,Jr[1],"M0075",bgr),MFe,Wr);throw vV(rn,0)}case 23:var nn=a[7],tn=a[5],en=a[4],un=a[2],an=1-u[13],fn=a[3];if(an)var cn=1-e,on=cn?0!==un[2]?1:0:cn;else on=an;on&&(cUe(Bgr,u,nn[1],"M0076",0,0,0,lgr),1-e&&cUe(pgr,u,nn[1],kgr,0,0,0,jgr));var vn=1-u[13];if(vn)var An=0!==un[2]?1:0,sn=An?pY(tn):An;else sn=vn;sn&&tUe(0,0,0,u,nn[1],mgr,dgr);var bn=tn?tn[1]:[0,dpe,_gr,2],ln=nn[2];r:if(38===ln[0]){var Bn=ln[1];if(Bn){var jn=Bn[1];if(!u[13]&&0!==un[2]){nUe(0,0,0,u,jn[1],"M0213",hgr);break r}}}var kn=ZGe(u,un),pn=kn[1],dn=kn[2],mn=JUe(u,fn),_n=mn[2],hn=mn[1],xn=mn[4],yn=mn[3],wn=GUe(pn,bn),gn=wn[2],qn=wn[1];KUe(u,bn[1],pn,qn,gn);var In=n[1],En=LUe(mUe(u,yn,xn),pn,hn,_n,[0,nn],In),Dn=CGe(0!==pn?nUe:tUe,En,en),$n=Dn[1],Tn=nwe[48].call(null,dn,Dn[2]),Nn=GY((function(r){return ZUe(En,r)}),gn);bn[3]=Hhe(Nn);var Fn=Qhe(qn,(function(r){return[1,EY(hn),0]}),Nn);if(1-u[13]){var Un=[0,En[1],En[2],En[3],En[4],En[5],En[6],nwe[1],[0,Fn],En[9],En[10],En[11],En[12],En[13],En[14],En[15],En[16],En[17],En[18],En[19],En[20],En[21],En[22],En[23],En[24],En[25],En[26]],Gn=AUe(Un);NGe(dUe(Un,Tn),Fn,nn),sUe(u,Tn,Gn);r:if(0!==pn){switch(PUe(u,n[1],_n),1-aye($n)&&kC(FUe(u,$n,en[1],ygr,xgr),MFe,$n),MY((function(r){var n=1-aye(r);return n?kC(FUe(u,r,bn[1],dwr,pwr),MFe,r):n}),Nn),qn){case 0:if(!Nn&&nH(pn,wgr)){var Pn=nn[2];n:{if(46===Pn[0]){var Kn=Pn[1][2];if(41===Kn[0]){var On=Kn[1][2];if(38===On[0]&&!On[1]&&!On[2]){var Mn=Kn[2][2];if(8===Mn[0]&&!Mn[1]){var Rn=Mn[3][2];if(6===Rn[0]&&!Rn[1]){var Vn=1;break n}}}}}Vn=0}if(!(1-Vn))break r;rUe(0,0,0,u,nn[1],"M0078",ggr);break r}break;case 1:if(!(1-aDe(nn)))break r;rUe(0,0,0,u,nn[1],"M0079",qgr);break r}kC(rUe(0,0,0,u,bn[1],Egr,Igr),MFe,Fn)}}var Ln=en[2];if("number"==typeof Ln||3!==Ln[0])Hn=[0,$n,0];else var Hn=Exe($n);var Qn=GY((function(r){return Jhe(hn,r)}),Nn),Cn=GY((function(r){return Jhe(hn,r)}),Hn);return[8,pn,qn,Whe(hn,_n),Cn,Qn];case 24:var Sn=a[2],Zn=a[1],zn=RGe(u,Sn,a[3],a[4],n[1],0);return 1-u[13]&&vPe(u,[0,Sn[3][1]],Zn),zn;case 25:return sPe(u,a[1],n[1],0)[1];case 26:var Xn=a[1];return 1-u[13]&&NGe(u,AS,Xn),AS;case 27:var Jn=a[2],Wn=a[1];return 1-u[13]&&(NGe(u,AS,Wn),NGe(u,AS,Jn)),AS;case 28:var Yn=a[2],rt=a[1];return 1-u[13]&&(NGe(u,AS,rt),NGe(u,AS,Yn)),AS;case 29:var nt=a[3],tt=a[2],et=a[1];1-u[13]&&NGe(u,AS,et);var ut=IGe(EGe,gxe,u,tt),at=IGe(EGe,gxe,u,nt),ft=Yye([0,u[24]],ut,at),it=1-u[13];return(it?QGe(ft,[0,ut,[0,at,0]]):it)&&_C(tUe(0,0,0,u,n[1],$gr,Dgr),OFe,ft,MFe,ut,MFe,at),ft;case 30:var ct=a[2],ot=gGe(u,a[1]),vt=LGe(u,ot,1,ct);return 1-u[13]&&gUe(tUe,Tgr,u,QNe,ct,ot,n[1]),vt;case 31:var At=a[3],st=a[2],bt=a[1];return 1-u[13]&&(NGe(u,AS,bt),KGe(u,st,At,vS)),vS;case 32:var lt=a[2],Bt=a[1];if(!lt){var jt=a[3];return 1-u[13]&&KGe(u,Bt,jt,1),1}var kt=a[3],pt=lt[1];return 1-u[13]&&(KGe(u,Bt,kt,vS),NGe(u,AS,pt)),vS;case 33:var dt=a[2],mt=a[4],_t=a[3],ht=a[1];if(1-u[13]){var xt=gGe(u,dt);try{var yt=Pxe(Lxe(Fgr,$xe(Ngr,xt)[2])),wt=yt[2];if(1-hUe(u,dt[1],vS,yt[1]))throw vV([0,qC,Ugr],1);KGe(dUe(u,XGe(tUe,u,Fxe(wt),ht)),_t,mt,vS)}catch(oe){var gt=MQ(oe);if(gt[1]!==qC&>!==DC)throw vV(gt,0);kC(nUe(0,0,0,u,dt[1],"M0082",Ggr),MFe,xt)}}return vS;case 34:var qt=a[3],It=a[1],Et=SUe(u,a[2]);return 1-u[13]&&UGe(BUe(u,It[2],Et),Et,qt),Et;case 35:var Dt=a[2],$t=a[1];if(!Dt){var Tt=u[25],Nt=a[3];if(Tt){var Ft=Tt[1],Ut=Ft[1],Gt=Ft[2],Pt=$t?(Ut[2]=1,vS):(Ut[1]=1,Gt);1-u[13]&&NGe(u,Pt,Nt)}else{var Kt=$t?Vgr:Lgr;jC(nUe(0,0,0,u,n[1],Qgr,Hgr),Kt)}return 1}var Ot=Dt[1],Mt=a[3],Rt=nwe[29].call(null,Ot[2],u[7]);if(Rt){var Vt=Rt[1];1-u[13]&&UGe(u,Vt,Mt)}else{var Lt=Gbe(Pgr,Ot[2]);if(Lt&&nwe[3].call(null,Lt[1],u[7]))nUe(0,0,0,u,n[1],Ogr,Kgr);else{var Ht=u[7],Qt=lY(Lt,Ot[2]),Ct=Ot[1],St=nwe[45].call(null,u[7]),Zt=sFe(Rgr,Ot[2],St);pC(nUe(0,[0,fUe(u,Ot[1],Zt)],0,u,Ct,"M0083",Mgr),Qt,zFe,Ht)}}return 1;case 36:var zt=a[1];if(1-u[13]){var Xt=u[8];if("number"==typeof Xt)nUe(0,0,0,u,n[1],"M0085",Cgr);else if(0===Xt[0]){var Jt=Xt[1];"number"==typeof Jt&&2<=Jt?nUe(0,0,0,u,n[1],"M0084",Sgr):NGe(u,Jt,zt)}else kC(Xt[1],u,zt)}return 1;case 37:var Wt=a[1];return 1-u[13]&&NGe(u,vS,Wt),vS;case 38:var Yt=a[4],re=a[3],ne=a[2],te=a[1];cUe(Xgr,u,Yt[1],zgr,0,0,0,Zgr),1-u[13]&&vPe(u,0,te);var ee=HUe(u,Jgr,n[1]),ue=ee[1],ae=ee[2],fe=WUe(u,re),ie=fe[1],ce=fe[4],oe=mUe(u,nwe[4].call(null,twe,ie,fe[3]),ce),ve=oe[26],Ae=oe[25],se=oe[24],be=oe[23],le=oe[22],Be=oe[21],je=oe[20],ke=oe[19],pe=oe[18],de=oe[17],me=Fhe[4].call(null,ie,n[1],u[16]),_e=oe[15],he=oe[14],xe=oe[13],ye=oe[12],we=oe[11],ge=oe[10],qe=ae(ie),Ie=nxe([0,ue,0],Jhe([0,ie,0],IGe(EGe,gxe,[0,oe[1],oe[2],oe[3],oe[4],oe[5],oe[6],nwe[1],Wgr,qe,ge,we,ye,xe,he,_e,me,de,pe,ke,je,Be,le,be,se,Ae,ve],Yt)));return 1-aye(Ie)&&kC(FUe(u,Ie,Yt[1],rqr,Ygr),MFe,Ie),[9,ne,ue,Ie];case 39:var Ee=a[2],De=n[1],$e=u[9];r:{var Te=a[1];if("number"!=typeof $e)switch($e[0]){case 3:break;case 2:case 5:var Ne=[1,$e[1],0];break r;default:jC(nUe(0,0,0,u,De,lFr,bFr),HS);Ne=[1,nge,0];break r}jC(nUe(0,0,0,u,De,jFr,BFr),HS);Ne=[1,nge,0]}var Fe=gGe(u,Ee),Ue=Te?0:1;try{var Ge=Kxe(Ue,Ne,Fe),Pe=Ge[1],Ke=Ge[2];if(1-yUe(u,n[1],Ne,Pe)){var Oe=n[1],Me=n[1];xC(nUe(0,0,0,u,Ee[1],"M0087",nqr),qwe,Ne,qwe,Pe,(function(r,n){return RUe(u,Me,r,n)}),Ne,(function(r,n){return RUe(u,Oe,r,n)}),Pe),VUe(u,Ne,n[1]),VUe(u,Pe,n[1])}return Ke}catch(oe){var Re=MQ(oe);if(Re[1]!==qC)throw vV(Re,0);var Ve=bxe(Fe)?0===Ue?"\nUse keyword 'await*' (not 'await' or 'await?') to consume this type.":"\nUse keyword 'await' or 'await?' (not 'await*') to consume this type.":tqr,Le=0===Ue?eqr:"*";return dC(rUe(0,0,0,u,Ee[1],"M0088",uqr),Le,MFe,Fe,Ve)}case 40:var He=a[2];return 1-u[13]&&NGe(u,AS,He),vS;case 41:var Qe=a[1],Ce=SUe(u,a[2]);return 1-u[13]&&NGe(u,Ce,Qe),Ce;case 42:var Se=a[1];return TUe(u,n[1],Se[1],Se[2]);case 43:var Ze=nwe[29].call(null,a[1],u[2]);return Ze?Ze[1]:xW("ImplicitLibE not found in env.libs");case 44:var ze=a[1];return 1-u[13]&&(QUe(u,aqr,n[1]),NGe(u,mS,ze)),1;case 45:var Xe=a[3],Je=a[2],We=IGe(EGe,gxe,u,a[1]),Ye=LGe(u,_S,1,Je);if(1-u[13]){QUe(u,fqr,n[1]),0!==Je&&gUe(tUe,iqr,u,QNe,Je,_S,n[1]);var ru=[0,u[1],u[2],u[3],u[4],u[5],u[6],nwe[1],0,1,u[10],u[11],u[12],u[13],u[14],u[15],u[16],u[17],u[18],u[19],u[20],u[21],u[22],u[23],u[24],u[25],u[26]];Xe&&NGe(ru,vS,Xe[1])}return Yye([0,u[24]],We,Ye);default:var nu=a[1];return 1-u[13]&&(NGe(u,0,nu),hUe(u,nu[1],nu[3][1],vS)&&tUe(0,0,0,u,n[1],oqr,cqr),Bxe(nu[3][1])&&tUe(0,0,0,u,n[1],Aqr,vqr)),vS}}function DGe(r,n,t){var e=eGe(n),u=eGe(t);if(e){if(!u){var a=uxe(IGe(EGe,gxe,r,n));return 1-r[13]&&FGe(r,a,t),[0,a,a]}}else if(u){var f=uxe(IGe(EGe,gxe,r,t));return 1-r[13]&&FGe(r,f,n),[0,f,f]}return[0,uxe(IGe(EGe,gxe,r,n)),uxe(IGe(EGe,gxe,r,t))]}function $Ge(r,n,t,e,u){var a=u[2],f=u[1],i=qGe(r,t),c=i[2],o=i[1];try{var v=[0,$xe([0,e[2],0],c)]}catch(y){var A=MQ(y);if(A[1]!==qC)throw vV(A,0);try{var s=Nxe(c),b=function(r){var n=[0,[0,XNr,[8,0,0,0,0,[0,Che(r),0]],phe],0],t=[0,[0,JNr,[8,0,0,0,0,[0,Che(r),0]],phe],n];return[0,[0,eFr,[8,0,0,0,tFr,[0,r,0]],phe],[0,[0,nFr,rFr,phe],[0,[0,YNr,[8,0,0,0,0,[0,Che(WNr),0]],phe],t]]]};if("number"==typeof s||10!==s[0])B=b(s);else var l=s[1],B=TW(b(l),[0,[0,zNr,[8,0,0,0,[0,ZNr,[0,l,0]],0],phe],0]);var j=[0,[0,0,A0(Uhe,B)]]}catch(y){var k=MQ(y);if(k[1]!==qC)throw vV(k,0);try{Dxe(16,c);var p=[0,[0,RNr,MNr,phe],[0,[0,ONr,[8,0,0,0,0,[0,Che(KNr),0]],phe],0]],d=[0,[0,LNr,[8,0,0,0,0,[0,Che(VNr),0]],phe],p],m=[0,[0,0,[0,[0,SNr,CNr,phe],[0,[0,QNr,[8,0,0,0,0,[0,Che(HNr),0]],phe],d]]]]}catch(y){var _=MQ(y);if(_[1]!==qC)throw vV(_,0);try{Dxe(15,c);var h=[0,[0,0,[0,[0,PNr,[8,0,0,0,0,[0,Che(GNr),0]],phe],[0,[0,UNr,FNr,phe],0]]]]}catch(y){var x=MQ(y);if(x[1]!==qC)throw vV(x,0);h=[1,[0,c,function(n){var e=kC(WFe(r,Hoe)(jqr),MFe,o);return JFe(t[1],"M0070",e,0,0,0)}]]}m=h}j=m}v=j}if(0!==v[0])return[1,v[1]];var y=v[1][2],w=Rxe(e[2],y);if(!w)return[1,[0,c,function(n){var t=GY((function(r){return r[1]}),y),u=sFe(sqr,e[2],t),a=fUe(r,e[1],u),f=e[2],i=pC(WFe(r,Hoe)(bqr),f,SFe,o);return JFe(e[1],"M0072",i,0,a,0)}]];var g=w[1];if("number"==typeof g&&2<=g){var q=e[2];return jC(rUe(0,0,0,r,n,"M0071",kqr),q)}if(!jC(a,gxe(g)))return[1,[0,c,function(n){var t=GY((function(r){return r[1]}),y),u=sFe(Bqr,e[2],t),a=fUe(r,e[1],u),i=e[2],c=dC(WFe(r,Hoe)(lqr),i,SFe,o,f);return JFe(e[1],"M0234",c,0,a,0)}]];if(1-r[13]){var I=e[2],E=t0((function(r){return r[1]===I?1:0}),y),D=E?E[1][3][1]:kxe("lookup_val_deprecation");iUe(r,n,pqr,e[2],D)}return[0,g]}function TGe(r,n,t,e,u){IUe(r,Dqr,Eqr,GY((function(r){return r[2][2]}),u));var a=GY((function(t){var e=Mxe(t[2][2][2],n);if(!e){var u=t[2],a=u[2],f=u[1],i=IGe(EGe,gxe,r,u[3]),c=1===f[2]?[10,i]:i;return jhe(r[24],a[1]),[0,a[2],c,[0,phe[1],a[1],phe[3]]]}var o=e[1],v=t[2],A=v[3],s=v[2],b=v[1];function l(n){var t=BAe[1];if(!t)return t;var e=n[2],u=s[1],a=Bhe(r[24],u),f=Bhe(r[24],e),i=jpe[7].call(null,f,a);return Ahe[10].call(null,r[24],e,i),Ahe[10].call(null,r[24],u,i)}var B=t0((function(r){return r[1]===s[2]?1:0}),[0,o,0]);r:if(B){var j=B[1],k=j[2];if("number"!=typeof k&&10===k[0]){var p=k[1],d=j[3];if(1!==b[2]){var m=s[2];pC(rUe(0,0,0,r,t[1],"M0149",FIr),m,OFe,p)}l(d),UGe(r,p,A);break r}var _=j[2],h=j[3];if(1===b[2]){var x=s[2];pC(rUe(0,0,0,r,t[1],"M0150",UIr),x,OFe,_)}l(h),UGe(r,_,A)}else BAe[1]&&jhe(r[24],s[1]),IGe(EGe,gxe,r,A);return o}),u),f=GY((function(n){var t=n[2],e=n[1];try{var u=dxe(e)}catch(n){var f=MQ(n);if(f[1]!==qC)throw vV(f,0);u=kC(rUe(0,0,0,r,t[1],"M0093",qqr),MFe,e)}var i=u[3],c=u[2];return 1===u[1]&&rUe(0,0,0,r,t[1],"M0178",Iqr),[3,0,u0((function(r){return pY(Rxe(r[1],a))}))(c),i]}),GY((function(n){return[0,gGe(r,n),n]}),e)),i=hce(0,0),c=hce(0,0);QY((function(n,t){var e=dxe(n),u=e[3];return MY((function(n){if(jxe(n[2])){eUe(r,t[1],hqr);var e=n[1];kC(rUe(0,0,0,r,t[1],"M0179",xqr),KFe,e)}var u=Ece(i,n[1]);if(!u)return qce(i,n[1],t[1]);eUe(r,u[1],yqr);var a=n[1];return kC(rUe(0,0,0,r,t[1],gqr,wqr),KFe,a)}),e[2]),MY((function(n){var e=Ece(c,n[1]);if(!e)return qce(c,n[1],[0,n[2],t[1]]);var u=e[1],a=u[2],f=1-Uye(0,u[1],n[2]);if(!f)return f;eUe(r,a,dqr);var i=n[1];return kC(rUe(0,0,0,r,t[1],_qr,mqr),KFe,i)}),u)}),f,e);var o=[0,r[24]],v=VY((function(r,n){return rwe(o,r,n)}),$qr,f),A=[3,0,A0(Uhe,a),0];return rwe([0,r[24]],v,A)}function NGe(r,n,t){return UGe([0,r[1],r[2],r[3],r[4],r[5],r[6],r[7],r[8],r[9],r[10],r[11],r[12],r[13],0,r[15],r[16],r[17],r[18],r[19],r[20],r[21],r[22],r[23],r[24],r[25],r[26]],n,t)}function FGe(r,n,t){return UGe([0,r[1],r[2],r[3],r[4],r[5],r[6],r[7],r[8],r[9],r[10],r[11],r[12],r[13],1,r[15],r[16],r[17],r[18],r[19],r[20],r[21],r[22],r[23],r[24],r[25],r[26]],n,t)}function UGe(r,n,t){if(r[13])throw vV([0,NC,Tqr],1);if(2!==t[3][1])throw vV([0,NC,Nqr],1);if(2===n)throw vV([0,NC,Fqr],1);var e=function(r,n,t){var e=[0,r[1],r[2],r[3],r[4],r[5],r[6],r[7],r[8],r[9],0,0,[0,t[2],r[12]],r[13],r[14],r[15],r[16],r[17],r[18],r[19],r[20],r[21],r[22],r[23],r[24],r[25],r[26]],u=t[2];switch(u[0]){case 0:var a=u[1],f=u[2],i=xGe(e,t[1],a,n);if(0===i[0]){var c=i[1][1];return f[1]=c,UGe(e,n,c),n}var o=i[1];if(0!==o[0])return jC(o[1],e),n;var v=o[2],A=o[1],s=o[3];if(1-e[13]){if(0===v)var b=0;else{var l=F0(Mqr,GY(jGe,v));b=[0,jC(F3(Rqr),l),0]}if(0===A)var B=PFe(a),j=PFe(a),k=kC(Voe(Tce,Vqr),j,B);else{var p=F0(Lqr,a0(kGe)(A));k=jC(Voe(Tce,Hqr),p)}jC(s,e);var d=PFe(a);pC(nUe([0,[0,k,b]],0,0,e,t[1],Cqr,Qqr),d,OFe,n)}return n;case 1:if("number"!=typeof n&&8===n[0])return n;break;case 3:return vGe(e,n,u[1],t[1],1),n;case 4:NGe(e,jS,u[1]);var m=uxe(n);return"number"!=typeof m&&3===m[0]&&1===m[1]?n:rUe(0,0,0,e,t[1],Zqr,Sqr);case 5:var _=u[3],h=u[1];if(CEe(DEe,u[2],n))return h[1]=n,UGe(e,n,_),n;break;case 6:var x=u[3],y=u[4],w=u[2],g=u[1];if(CEe(NEe,x,n)){g[1]=n,UGe(e,n,w),UGe(e,n,y);var q=e[14];if(q)var I=1===x?1:0,E=I?yUe(e,t[1],n,sS):I;else E=q;return E&&kC(tUe(0,0,0,e,t[1],Xqr,zqr),MFe,n),n}break;case 9:var D=u[1];if(1-e[13]){var $=GY((function(r){return IGe(EGe,gxe,e,r)}),D);if(1-hUe(e,t[1],Jqr,n)&&kC(rUe(0,0,0,e,t[1],Yqr,Wqr),MFe,n),1-aye(Hhe($))){var T=Hhe($);kC(rUe(0,0,0,e,t[1],nIr,rIr),MFe,T)}}return tIr;case 10:var N=u[1];return aye(n)&&vxe(n)?(UGe(e,eIr,N),n):kC(rUe(0,0,0,e,t[1],aIr,uIr),MFe,n);case 11:if("number"!=typeof n&&7===n[0]){var F=n[1],U=u[1],G=IY(F);if(IY(U)===G)return QY((function(r,n){return UGe(e,r,n)}),F,U),n}break;case 13:var P=u[1];if(vxe(n))return UGe(e,_xe(n),P),n;break;case 14:var K=u[1];if(vxe(n))return UGe(BUe(e,iIr,fIr),_xe(n),K),n;break;case 15:var O=u[1];return pY(nwe[29].call(null,cIr,e[7]))&&nUe(0,0,0,e,t[1],vIr,oIr),UGe(e,[6,n],O),n;case 17:if("number"!=typeof n&&3===n[0]&&!n[1]){var M=n[2],R=TGe(e,M,t[1],u[1],u[2]),V=axe(R);if("number"==typeof V||3!==V[0]||V[1])L=0;else var L=V[2];var H=GY((function(r){var n=r[1];return jC(F3(Oqr),n)}),u0((function(r){return pY(Rxe(r[1],L))}))(M));if(!H)return GGe(r,e,n,R,t);var Q=1===IY(H)?AIr:sIr,C=F0(bIr,H);return dC(nUe(0,0,0,e,t[1],BIr,lIr),Q,C,MFe,n),R}break;case 18:if("number"!=typeof n&&4===n[0]){var S=n[1],Z=u[1],z=u[2];if(zY((function(r){return r[1]===Z[2]?1:0}),S))return UGe(e,n0((function(r){return r[1]===Z[2]?1:0}),S)[2],z),n}break;case 21:if("number"!=typeof n&&5===n[0]){var X=n[1],J=u[1],W=u[2],Y=jxe(X);if((1===J[2]?1:0)!==Y){var rr=[5,X],nr=0===J[2]?"im":jIr;pC(nUe(0,0,0,e,t[1],pIr,kIr),nr,MFe,rr)}var tr=gxe(X);return MY((function(r){return UGe(e,tr,r)}),W),n}break;case 23:if(!u[3]&&"number"!=typeof n&&8===n[0]){if(n[3])break;var er=u[7],ur=PGe(r[10],e,[0,u[2],u[4],u[5],er],[0,n[1],n[2],n[4],n[5]]),ar=ur[3],fr=ur[2],ir=ur[1],cr=xUe(e,dpe,fr,ar);if(cr){var or=cr[1];_C(rUe(0,0,0,e,er[1],Kqr,Pqr),MFe,fr,MFe,ar,(function(r,n){return VFe(fr,ar,r,n)}),or)}return NGe(ir,fr,er),n}break;case 24:var vr=u[2],Ar=u[1],sr=RGe(e,vr,u[3],u[4],t[1],[0,n]),br=xUe(e,vr[1],sr,n);if(br){var lr=br[1];_C(nUe(0,0,0,r,t[1],Gqr,Uqr),MFe,sr,MFe,n,(function(r,t){return VFe(n,sr,r,t)}),lr)}return 1-e[13]&&vPe(e,[0,vr[3][1]],Ar),sr;case 25:var Br=u[1],jr=t[1],kr=AUe(e),pr=bPe(e,Br,jr);return jPe(pUe(e,pr),n,Br,jr),sUe(e,pr[1],kr),n;case 29:var dr=u[3],mr=u[2];return NGe(e,AS,u[1]),UGe(e,n,mr),UGe(e,n,dr),n;case 30:var _r=u[2],hr=u[1],xr=gGe(e,hr);return HGe([0,e[1],e[2],e[3],e[4],e[5],e[6],e[7],e[8],e[9],e[10],e[11],e[12],e[13],e[14],e[15],e[16],e[17],e[18],e[19],e[20],e[21],e[22],e[23],e[24],e[25],[0,[0,hr[1],xr]]],xr,n,_r),gUe(tUe,dIr,e,QNe,_r,xr,t[1]),n;case 32:if(!u[2])return KGe(e,u[1],u[3],n),n;break;case 38:if("number"!=typeof n&&9===n[0]){var yr=n[3],wr=n[2],gr=n[1],qr=u[4],Ir=u[3],Er=u[2],Dr=u[1];cUe(hIr,e,qr[1],_Ir,0,0,0,mIr);var $r=HUe(e,xIr,t[1]),Tr=$r[1],Nr=$r[2];if(Er!==gr){var Fr=0===gr?yIr:wIr;pC(nUe(0,0,0,e,t[1],qIr,gIr),MFe,n,Fr)}if(1-yUe(e,t[1],Tr,wr)){var Ur=t[1],Gr=t[1];xC(nUe(0,0,0,e,t[1],EIr,IIr),MFe,Tr,MFe,wr,(function(r,n){return RUe(e,Gr,r,n)}),Tr,(function(r,n){return RUe(e,Ur,r,n)}),wr),VUe(e,Tr,t[1]),VUe(e,wr,t[1])}var Pr=WUe(e,Ir),Kr=Pr[1],Or=Pr[4],Mr=mUe(e,nwe[4].call(null,twe,Kr,Pr[3]),Or),Rr=Mr[26],Vr=Mr[25],Lr=Mr[24],Hr=Mr[23],Qr=Mr[22],Cr=Mr[21],Sr=Mr[20],Zr=Mr[19],zr=Mr[18],Xr=Mr[17],Jr=Fhe[4].call(null,Kr,t[1],e[16]),Wr=Mr[15],Yr=Mr[14],rn=Mr[13],nn=Mr[12],tn=Mr[11],en=Mr[10],un=Nr(Kr);return UGe([0,Mr[1],Mr[2],Mr[3],Mr[4],Mr[5],Mr[6],nwe[1],[0,yr],un,en,tn,nn,rn,Yr,Wr,Jr,Xr,zr,Zr,Sr,Cr,Qr,Hr,Lr,Vr,Rr],yr,qr),1-e[13]&&vPe(e,0,Dr),n}break;case 45:var an=u[3],fn=u[2],cn=u[1];if(QUe(e,DIr,t[1]),UGe(e,n,cn),HGe(e,_S,n,fn),0!==fn&&gUe(tUe,$Ir,e,QNe,fn,_S,t[1]),1-e[13]){var on=[0,e[1],e[2],e[3],e[4],e[5],e[6],nwe[1],0,1,e[10],e[11],e[12],e[13],e[14],e[15],e[16],e[17],e[18],e[19],e[20],e[21],e[22],e[23],e[24],e[25],e[26]];an&&NGe(on,vS,an[1])}return n;case 42:case 43:return n}return GGe(r,e,n,IGe(EGe,gxe,r,t),t)}(r,uxe(n),t);return t[3]=[0,e,JNe(t)],0}function GGe(r,n,t,e,u){var a=xUe(n,u[1],e,t);if(a){var f=a[1],i=bFe(n[2],n[1],e,t);hC(nUe(0,0,0,r,u[1],NIr,TIr),MFe,e,MFe,t,(function(r,n){return VFe(e,t,r,n)}),f,i)}else OGe(n,t,u[2]);return e}function PGe(r,n,t,e){var u=e[1],a=t[4],f=t[3],i=e[4],c=e[3],o=e[2],v=t[2],A=ZGe(n,t[1]),s=A[1],b=1-n[13],l=A[2];if(b)var B=1-r,j=B?0!==s?1:0:B;else j=b;j&&cUe(OIr,n,a[1],KIr,0,0,0,PIr);var k=XGe(0!==s?nUe:tUe,n,Hhe(c),v),p=nwe[48].call(null,l,k),d=Qhe(o,(function(r){throw vV([0,NC,GIr],1)}),i),m=f?SUe(n,f[1]):d;if(mQ(s,u)){var _=0===u?MIr:RIr,h=0===s?VIr:LIr;kC(rUe(0,0,0,n,a[1],"M0094",HIr),h,_)}return[0,dUe([0,n[1],n[2],n[3],n[4],n[5],n[6],nwe[1],[0,m],1,n[10],n[11],n[12],n[13],n[14],n[15],n[16],n[17],n[18],n[19],n[20],n[21],n[22],n[23],n[24],n[25],n[26]],p),m,d]}function KGe(r,n,t,e){return NGe([0,r[1],r[2],r[3],r[4],r[5],r[6],r[7],r[8],r[9],r[10],r[11],r[12],r[13],r[14],r[15],r[16],r[17],r[18],r[19],r[20],r[21],r[22],r[23],r[24],[0,[0,t,e]],r[26]],vS,n)}function OGe(r,n,t){if(r[13]||!cxe(n));else switch(t[0]){case 16:if(!t[2][2]){var e=nPe(t[4]),u=e[2],a=e[1];if("number"!=typeof n&&3===n[0]){var f=n[3],i=n[2];return MY((function(t){return Rxe(t,i)?0:pC(tUe(0,0,0,r,nwe[28].call(null,t,u)[2],JIr,XIr),t,OFe,n)}),nwe[45].call(null,u)),MY((function(t){return Vxe(t,f)?0:pC(tUe(0,0,0,r,nwe[28].call(null,t,a)[2],zIr,ZIr),t,OFe,n)}),nwe[45].call(null,a))}throw vV([0,$C,WIr],1)}break;case 17:var c=t[2],o=t[1];if("number"!=typeof n&&3===n[0]){var v=n[2];return MY((function(t){var e=t[2][2][2];if(Rxe(e,v))return 0;var u=0===o?QIr:" extension";return dC(tUe(0,0,0,r,t[1],SIr,CIr),e,u,OFe,n)}),c)}throw vV([0,$C,YIr],1)}}function MGe(r){r:if("number"!=typeof r&&11===r[0]){var n=r[2];if("number"!=typeof n&&11===n[0]){var t=r[1];if(n[1]!==Ba)break r;var e=n[2];return"number"!=typeof e&&11===e[0]?[0,e[1]]:[0,t]}}return 0}function RGe(r,n,t,e,u,a){var f=e[2],i=f[1],c=t[2],o=e[1],v=c?IY(c[1][2]):0,A=n[2];r:{if(19===A[0]){var s=A[2],b=A[1],l=A[3],B=$Ge(r,n[1],b,s,[0,"a function",function(r){var n=axe(r);n:{if("number"==typeof n){if(1!==n)break n}else if(8!==n[0])break n;return 1}return 0}]);if(0===B[0])var j=B[1],k=[0,IGe((function(r,n){return j}),gxe,r,n),0];else{var p=B[1],d=p[1],m=p[2],_=wGe(r,s,d);if(0===_[0]){var h=_[1],x=h[4],y=h[2],w=h[5];l[1]=[0,y],1-r[13]&&(UGe(r,x,y),n[3]=[0,x,JNe(n)]);k=[0,x,[0,[0,b,d,s[2],w]]]}else{var g=_[1];if(0===g[0]){var q=g[1];if(r[13]&&r[23]){k=rEr;break r}var I=jC(q,r),E=jC(m,0);if(0===I)var D=E;else{var $=E[8],T=E[7],N=E[6],F=F0(nEr,I),U=jC(Voe(Tce,tEr),F);D=[0,E[1],E[2],E[3],E[4],E[5]+U,N,T,$]}throw ide(r[15],D),vV(EFe,1)}k=jC(g[1],r)}}}else k=[0,gGe(r,n),0]}var G=k[2],P=k[1];try{var K=Gxe(0,v,P)}catch(a){var O=MQ(a);if(O[1]!==qC)throw vV(O,0);kC(nUe(0,0,0,r,n[1],"M0097",cEr),MFe,P),0===t[2]&&eUe(r,[0,n[1][2],i[1][1]],oEr);K=Gxe(0,v,1)}var M=K[4],R=K[3],V=K[2],L=K[1],H=i[2];r:{if(11===H[0]){var Q=H[1];if(!o){var C=Q;break r}}C=[0,i,0]}if(G){var S=G[1],Z=S[2],z=S[1];if(!R)throw vV([0,NC,vEr],1);var X=[0,[0,Z,R[1],z[1]],0],J=R[2]}else X=0,J=R;var W=IY(J),Y=b0(J);function rr(r){return pY(MGe(r))}var nr=0;function tr(r){return cY(rr,Y)}for(;;){var er=jC(tr,0);if(!er)break;nr=nr+1|0,tr=er[2]}var ur=IY(C),ar=(ur===W?1:0)||(ur===nr?1:0),fr=IY(C)===nr?1:0;if(fr){var ir=function(r,n,t){if(!n)return t;var e=n[2],a=MGe(n[1]);if(a){var f=a[1];return[0,[0,u,[0,f,[0,[0,u,eEr,NS]]],NS],ir(r+1|0,e,t)]}return t?[0,t[1],ir(r+1|0,e,t[2])]:0},cr=i[3],or=ir(0,J,C);if(!or||or[2])vr=[11,or];else var vr=or[1][2];var Ar=[0,i[1],vr,cr]}else Ar=i;if(!(fr||dY(G))||ar)kr=Hhe(J);else var sr=Ar[1],br=G?G[1][4]:txe(V),lr=GY((function(n){return IGe(EGe,gxe,r,n)}),C),Br=GY((function(r){return 0===br?r:nxe(br,r)}),u0((function(r){return 0===MGe(r)?1:0}))(J)),jr=IY(C),kr=_C(rUe(0,0,0,r,sr,"M0233",_Er),nr,jr,QFe,Br,CFe,lr);1-r[13]&&(f[1]=Ar);var pr=t[2];r:{n:if(V){if(!V[1][2]&&!V[2])break n;if(!pr){var dr=VGe(r,P,G,V,kr,M,Ar,u,a,X),mr=dr[3],_r=dr[2],hr=dr[1];break r}}else pr&&pr[1][2];var xr=t[2],yr=xr?xr[1][2]:0,wr=GY((function(n){return SUe(r,n)}),yr),gr=GY((function(r){return r[1]}),yr);n:if(!V||V[1][2]){if(!ZY((function(r){return 1===r[2]?1:0}),V))throw vV([0,NC,bwr],1);Ir=[0,wr,gr]}else{if(!ZY((function(r){return 1===r[2]?1:0}),V[2]))throw vV([0,NC,uwr],1);var qr=r[9];if(0===L&&!bxe(M)){if("number"!=typeof qr)switch(qr[0]){case 1:case 2:case 3:var Ir=[0,[0,[1,qr[1],0],wr],[0,u,gr]];break n}1-r[13]&&nUe(0,0,0,r,u,"M0197",awr);var Ir=[0,[0,[1,nge,0],wr],[0,u,gr]];break n}t:{if("number"==typeof qr){if(0===qr)break t}else switch(qr[0]){case 0:break t;case 3:break;case 1:case 2:var Er=qr[1];if(!nH(L,fwr)&&!nH(L,iwr)&&0!==L){if(!nH(L,cwr))break;Ir=rUe(0,0,0,r,u,"M0186",owr);break n}Ir=[0,[0,[1,Er,0],wr],[0,u,gr]];break n;default:var Dr=qr[1];if(L&&1!==L[1]){Ir=[0,[0,[1,Dr,0],wr],[0,u,gr]];break n}Ir=rUe(0,0,0,r,u,"M0187",vwr);break n}Ir=rUe(0,0,0,r,u,"M0047",swr);break n}Ir=rUe(0,0,0,r,u,"M0188",Awr)}var $r=Ir[1];YUe(r,V,$r,Ir[2],u);var Tr=nxe($r,kr),Nr=nxe($r,M);if(r[13]){var Fr=0!==yr?1:0;if(Fr){var Ur=1-gAe(AEr);if(Ur){if(!r[13])throw vV([0,NC,DEr],1);var Gr=function(n){var t=VGe([0,r[1],r[2],r[3],r[4],r[5],r[6],r[7],r[8],r[9],r[10],r[11],r[12],r[13],r[14],n,r[16],r[17],r[18],r[19],r[20],r[21],r[22],r[23],r[24],r[25],r[26]],P,G,V,kr,M,Ar,u,a,X)[1],e=IY(t),f=IY($r)===e?1:0;if(!f)return f;return XY((function(r,n){return Fye(0,r,n)}),$r,t)},Pr=kde(0,(function(r){return NFe(Gr,r)})),Kr=0===Pr[0]?Pr[1][1]:0}else Kr=Ur}else Kr=Fr;Kr&&tUe(0,0,[0,[0,[0,t[1],lEr],0]],r,t[1],bEr,sEr)}else NGe(r,Tr,Ar);mr=Nr,_r=Tr,hr=$r}if(t[3]=hr,1-r[13]){0!==L&&(1-rye(_r)&&kC(rUe(0,0,0,r,n[1],"M0099",BEr),MFe,_r),1-rye(mr)&&kC(rUe(0,0,0,r,Ar[1],"M0100",jEr),MFe,mr));var Or=(0!==L?1:0)||bxe(mr),Mr=t[2];r:n:if(!Or){if(Mr&&Mr[1][1]){if(V&&!V[1][2])break n;nUe(0,0,0,r,t[1],"M0196",kEr);break r}if(V&&!V[1][2]){var Rr=1===IY(V)?pEr:", ...";jC(tUe(0,0,0,r,u,mEr,dEr),Rr);break r}}!function(r,n,t,e,u,a){if(1-r[13]&&0!==wAe(jNr)){if(n)return;var f=t[2];if(19===f[0]&&e&&u){var i=u[2],c=u[1],o=f[2],v=e[2],A=e[1];if(("equal"===o[2]||0!==Gbe("compare",o[2]))&&1===IY(v))return;var s=wGe(r,o,A);if(0!==s[0])return;var b=s[1][2][2],l=t[2];if(19===b[0]){var B=b[1][2];if(2===B[0]){var j=B[1][2],k=b[2][2];if(19===l[0]){var p=l[1],d=p[2];if(2===d[0]){var m=d[1],_=m[2];if(!m[3][1]){var h=l[2][2];if(j===_&&k===h){var x=c[1][1][2]!==c[1][2][2]?0:ype(xpe,c[1]);if(x){var y=x[1];switch(c[2][0]){case 2:case 3:case 12:case 15:case 19:case 21:case 22:case 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x : Int = 0",fHe=hU+aHe,iHe="case x {}",cHe=lq+ci+uHe,oHe=F0(krn,[0,jrn,[0,SX,[0,uHe,Brn]]]),vHe=F0(mrn,[0,drn,[0,"X",[0,prn,[0,ZX,0]]]]),AHe=F0(hrn,[0,_rn,[0,SX,[0,uHe,0]]]),sHe=F0(yrn,[0,xrn,[0,SX,[0,uHe,0]]]);function bHe(r,n){return[0,"seplist("+r[1]+Qd+n[1]+tN,r[2]]}function lHe(r){var n=r[1];if(0!==n[0]){var t=n[1];if(50<=t)switch(t){case 50:return[0,"",UX];case 51:return[0,"",UX];case 52:return[0,"",UX];case 53:return[0,"?",XX];case 54:return Z9r;case 55:return z9r;case 56:return[0,"?",CX];case 57:return[0,"?",CX];case 58:return X9r;case 59:return[0,"","object x = {}"];case 60:return J9r;case 61:return[0,"",oHe];case 62:return W9r;case 63:return[0,"(, )*",", X"];case 64:return[0,"(, )*",tc+kw];case 65:return[0,"",th+kw+es];case 66:return[0,"",zX];case 67:return[0,Y9r,zX];case 68:return rrn;case 69:return nrn;case 70:return[0,"",CX];case 71:return[0,"",CX];case 72:return[0,"",CX];case 73:return[0,"",CX];case 74:return trn;case 75:return[0,"",oHe];case 76:return[0,ern,CX];case 77:return[0,"",CX];case 78:return[0,urn,CX];case 79:return[0,"",CX];case 80:return[0,"",CX];case 81:return[0,"",CX];case 82:return[0,"",CX];case 83:return[0,arn,cHe];case 84:return[0,"",CX];case 85:return[0,"",CX];case 86:return[0,frn,CX];case 87:return[0,irn,CX];case 88:return[0,"",CX];case 89:return crn;case 90:return[0,"",aHe];case 91:return[0,orn,fHe];case 92:return[0,vrn,aHe];case 93:return Arn;case 94:return[0,"","catch x {}"];case 95:return[0,srn,iHe];case 96:return brn;case 97:return lrn;default:return[0,"",uHe]}switch(t){case 0:return d9r;case 1:return[0,"","{ #t }"];case 2:return[0,"",ZX];case 3:return[0,m9r,JX];case 4:return[0,"",ZX];case 5:return _9r;case 6:return h9r;case 7:return[0,"",ZX];case 8:return[0,"",ZX];case 9:return[0,x9r,ZX];case 10:return[0,"",vHe];case 11:return[0,y9r,vHe];case 12:return[0,w9r,"X"];case 13:return[0,"",XX];case 14:return[0,g9r,ZX];case 15:return[0,"",UX];case 16:return[0,"",AHe];case 17:return q9r;case 18:return[0,"seplist1(,)",JX];case 19:return[0,"seplist1(,)",cHe];case 20:return bHe([0,I9r,JX],WX);case 21:return bHe([0,E9r,ZX],rJ);case 22:return bHe([0,D9r,vHe],WX);case 23:return bHe([0,$9r,vHe],WX);case 24:return bHe([0,T9r,"X"],rJ);case 25:return bHe([0,N9r,ZX],rJ);case 26:return bHe([0,F9r,AHe],WX);case 27:return bHe([0,U9r,sHe],WX);case 28:return bHe([0,",and)",CX];case 40:return[0,"",sHe];case 41:return C9r;case 42:return[0,"",SX];case 43:return[0,"",SX];case 44:return[0,"",SX];case 45:return[0,"",SX];case 46:return[0,"","x x"];case 47:return[0,S9r,SX];case 48:return[0,"",SX];default:return[0,"",UX]}}var e=n[1];if(66<=e){if(99<=e)switch(e){case 99:return[0,lX,lX];case 100:return[0,"do","do"];case 101:case 126:return[0,QX,HX];case 102:case 113:case 127:return[0,RX,MX];case 103:return[0,BX,BX];case 104:return[0,jX,jX];case 105:return[0,kX,kX];case 106:return[0,pX,pX];case 107:return[0,dX,dX];case 108:return[0,mX,mX];case 109:return[0,_X,_X];case 110:return[0,hX,hX];case 111:return p9r;case 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function(r,n,t){r:{n:{t:{e:{switch(U){case 2:if(3>>0)break n;break t;case 3:if(4===K)break t;break e;case 4:if(3===K)break t;if(5===K)break t;break e;case 5:var e=K-4|0;if(10>>0)break e;switch(e){case 0:case 2:case 10:break t;default:break e}case 6:if(5===K)break t;break e;case 7:if(12<=K){if(13<=K)break n;var u=function(r){var n=VIe(r),t=jC(Pqe[25],n),e=Fge(t);if(63=a>>>0)switch(a){case 0:break t;case 1:break;default:u=function(r){var n=CIe(r),t=GH(rqe(jC(zqe[25],n)));return[10,jC(JAe[5],t)]};break r}break;case 12:var f=K-7|0;if(6>>0)break n;switch(f){case 0:u=function(r){var n=_qe(JIe(r));return[1,jC(Pqe[26],n)]};break r;case 4:u=function(r){var n=_qe(JIe(r));return[5,zqe[26].call(null,n)]};break r;case 6:u=function(r){return[11,jC(sIe,jC(tIe,JIe(r)))]};break r;default:break n}case 13:if(12!==K)break n;u=function(r){return[10,jC(eIe,jC(Wqe,WIe(r)))]};break r;default:break n}if(7===K)break t;break n}if(2!==K)break n}u=function(r){try{var n,t=qEe(U)(r);switch(K){case 2:var e=function(r){return[1,jC(Mqe[26],r)]};break;case 3:e=function(r){return[6,Vqe[26].call(null,r)]};break;case 4:e=function(r){return[7,Lqe[26].call(null,r)]};break;case 5:e=function(r){return[8,Hqe[26].call(null,r)]};break;case 6:e=function(r){return[9,Qqe[26].call(null,r)]};break;case 7:e=function(r){return[1,jC(Pqe[26],r)]};break;case 8:e=function(r){return[2,Cqe[26].call(null,r)]};break;case 9:e=function(r){return[3,Sqe[26].call(null,r)]};break;case 10:e=function(r){return[4,Zqe[26].call(null,r)]};break;case 11:e=function(r){return[5,zqe[26].call(null,r)]};break;case 14:e=function(r){var n=Xge(r);t:if(QP<=n){if(Ly<=n&&HO>n)break t;throw vV([0,qC,"character value out of bounds"],1)}return[12,n]};break;default:throw vV([0,qC,"Value.of_big_int_trap: "+Ewe([2,K])],1)}return e(t)}catch(n){var u=MQ(n);if(u[1]===qC)return jC(c,u[2]);throw vV(u,0)}};break r}var i=Ewe([2,K]);u=jC(c,"Value.num_conv_trap_prim: "+Ewe([2,U])+i)}return jC(t,jC(u,n))}}}}}throw vV([0,NC,Fbr],1)}(i);return jC(a,[20,Bqe(u[3][1]),s]);case 2:var b=f[1],B=b[3][2];if(!B){var j=xQe(b[2],n[2])[1];return j?jC(a,j[1]):hQe(u[1],Ptn)}u=B[1];break;case 3:var k=f[1][1];if("number"==typeof k)var p=0;else switch(k[0]){case 0:p=[0,k[1]];break;case 1:p=[1,k[1]];break;case 2:p=[6,k[1]];break;case 3:p=[7,k[1]];break;case 4:p=[8,k[1]];break;case 5:p=[9,k[1]];break;case 6:p=[1,k[1]];break;case 7:p=[2,k[1]];break;case 8:p=[3,k[1]];break;case 9:p=[4,k[1]];break;case 10:p=[5,k[1]];break;case 11:p=[10,k[1]];break;case 12:p=[11,k[1]];break;case 13:p=[12,k[1]];break;case 14:p=[13,k[1]];break;case 15:p=[14,k[1]];break;default:throw vV([0,NC,gen],1)}return jC(a,p);case 4:var d=f[1],m=function(r){var n=oqe(rEe(r));if(0===n[0]){var t=n[1];return 29u){var a=dL(e,Re);a:if(0<=a)if(0=u){i=AS;break e}var c=dL(e,Yg);if(0<=c)if(0=Zn){if(nH(e[4][2][1][2],ycn))return gcn;throw vV([0,NC,wcn],1)}if(Hn===M$)return[0,[0,7,[0,EXe(e[4][2][1]),0]]];if(Hn===TO){var zn=$n[3][1],Xn=e[4][2];if("number"!=typeof zn&&8===zn[0]&&!zn[1]&&!zn[2]&&!zn[3])return[0,[0,[13,zn[5]],[0,EXe(Xn[1]),0]]];throw vV([0,NC,xcn],1)}if(Hn===ej)return[0,[0,8,[0,EXe(e[4][2][1]),0]]];if("getCertificate"===Hn){if(qXe(e[4][2][1]))return hcn;throw vV([0,NC,_cn],1)}if(Hn===Yl){var Jn=$n[3][1],Wn=e[4][2];if("number"!=typeof Jn&&8===Jn[0]&&!Jn[1]&&!Jn[2]&&!Jn[3])return[0,[0,[12,Jn[4]],[0,EXe(Wn[1]),0]]];throw vV([0,NC,mcn],1)}if("setCertifiedData"===Hn)return[0,[0,23,[0,EXe(e[4][2][1]),0]]];if(Hn===aq){if(nH(e[4][2][1][2],kcn))return dcn;throw vV([0,NC,pcn],1)}if("timeoutSet"===Hn)return[0,[0,22,[0,EXe(e[4][2][1]),0]]]}else{if(Hn===IB){var Yn=e[4][2][1][2];if(11===Yn[0]&&!Yn[1])return Bcn;throw vV([0,NC,jcn],1)}if(Hn===Mi){var rt=$n[3][1],nt=e[4][2];if("number"!=typeof rt&&8===rt[0]&&!rt[1]&&!rt[2]&&!rt[3]){var tt=rt[5],et=rt[4],ut=[0,EXe(nt[1]),0],at=Hhe(tt);return[0,[0,[17,Hhe(et),at],ut]]}throw vV([0,NC,lcn],1)}if("cyclesAccept"===Hn)return[0,[0,17,[0,EXe(e[4][2][1]),0]]];if("cyclesAdd"===Hn)return[0,[0,16,[0,EXe(e[4][2][1]),0]]];if("cyclesAvailable"===Hn){if(qXe(e[4][2][1]))return bcn;throw vV([0,NC,scn],1)}if("cyclesBalance"===Hn){if(qXe(e[4][2][1]))return Acn;throw vV([0,NC,vcn],1)}if("cyclesBurn"===Hn)return[0,[0,21,[0,EXe(e[4][2][1]),0]]];if("cyclesRefunded"===Hn){if(qXe(e[4][2][1]))return ocn;throw vV([0,NC,ccn],1)}}var ft=e[4][2],it=ft[1][2];return 11===it[0]?[0,[0,[20,Hn],GY(EXe,it[1])]]:[0,[0,[20,Hn],[0,EXe(ft[1]),0]]]}var ct=S0(95,Hn);if(ct&&"num"===ct[1]){var ot=ct[2];if(ot&&"wrap"===ot[1]){var vt=ot[2];if(vt){var At=vt[2];if(At&&!At[2]){var st=At[1];return[0,[0,[16,Lhe(vt[1]),Lhe(st)],[0,EXe(Sn[1]),0]]]}}}}throw vV([0,NC,icn],1)}var bt=S0(95,Hn);if(bt&&"num"===bt[1]){var lt=bt[2];if(lt&&"conv"===lt[1]){var Bt=lt[2];if(Bt){var jt=Bt[2];if(jt&&!jt[2]){var kt=jt[1];return[0,[0,[15,Lhe(Bt[1]),Lhe(kt)],[0,EXe(Cn[1]),0]]]}}}}throw vV([0,NC,acn],1)}}var pt=e[3],dt=[0,EXe(e[4][2][1]),0],mt=[0,EXe($n),dt];return[0,[0,[0,pt[3]],mt]];case 25:var _t=e[1];if(!_t)return aZe()[2];var ht=_t[1][2];if(0===ht[0]){var xt=ht[1];if(!_t[2])return EXe(xt)[2]}r:{n:t:{e:{for(var yt=_t,wt=Axe(n[1]);;){if(!yt){var gt=[0,0,uZe(0)];break r}var qt=yt[1][2];if(0!==qt[0])break t;var It=qt[1][2];if(25!==It[0])break e;var Et=It[1];if(yt[2])break;yt=Et}break n}break n}var Dt=Xbe(yt),$t=Dt[1],Tt=Dt[2][2];switch(Tt[0]){case 0:var Ft=EXe(Tt[1]);gt=[0,f0(LXe,$t),Ft];break r;case 1:if(!wt){var Ut=Tt[1],Gt=Ut[2];if("number"!=typeof Gt&&0===Gt[0]){var Pt=gSe([0,Gt[1][2],Tt[2][3][1]]);gt=[0,f0(LXe,yt),Pt];break r}var Kt=Tt[3],Ot=Tt[2];if(Kt){var Mt=EXe(Kt[1]),Rt=EXe(Ot),Vt=xZe(wXe(CXe,Ut),Rt,Mt);gt=[0,f0(LXe,$t),Vt];break r}var Lt=mSe(bvn,Ot[3][1]),Ht=gSe(Lt),Qt=gSe(Lt),Ct=[0,jZe(wXe(CXe,Ut),Qt),0],St=[0,kZe(Lt,EXe(Ot)),Ct];gt=[0,TW(f0(LXe,$t),St),Ht];break r}}var Zt=uZe(0);gt=[0,f0(LXe,yt),Zt]}return[4,gt];case 26:return JSe(EXe(e[1]))[2];case 27:var zt=e[1],Xt=EXe(e[2]);return WSe(EXe(zt),Xt)[2];case 28:var Jt=e[1],Wt=EXe(e[2]);return YSe(EXe(Jt),Wt)[2];case 29:var Yt=e[2],re=e[1],ne=EXe(e[3]),te=EXe(Yt);return[5,EXe(re),te,ne];case 30:var ee=e[1],ue=HXe(e[2]);return[6,EXe(ee),ue];case 31:var ae=e[3],fe=e[1];let t=ae,Pu=fe;var ie=IXe(r,n,e[2],ae,(function(r){return[31,Pu,r,t]}));if(Mb<=ie[1]){var ce=EXe(ie[2]),oe=EXe(fe),ve=dSe(uun);return AZe(ve,vS,sZe(ZSe(oe,ce,fZe(ve,uZe(0)))))[2]}e=ie[2];break;case 32:var Ae=e[3],se=e[2];let Ku=Ae,Ou=se;var be=IXe(r,n,e[1],Ae,(function(r){return[32,r,Ou,Ku]}));if(Mb<=be[1]){var le=be[2];if(!se)return[7,EXe(le)];var Be=EXe(se[1]),je=EXe(le),ke=dSe(eun),pe=fZe(ke,uZe(0));return AZe(ke,vS,sZe(_Ze(je,ZSe(Be,uZe(0),pe))))[2]}e=be[2];break;case 33:var de=e[4],me=e[2],_e=e[1];let Mu=de,Ru=me,Vu=_e;var he=IXe(r,n,e[3],de,(function(r){return[33,Vu,Ru,r,Mu]}));if(Mb<=he[1]){var xe=he[2],ye=me[2];if(24===ye[0]&&!ye[1]){var we=ye[2][2];if(19===we[0]){var ge=we[2],qe=we[1],Ie=ye[4][2];r:if(oxe(qe[3][1])){if(ge[2]!==bB&&ge[2]!==lD&&ge[2]!==CM)break r;var Ee=Ie[1],De=mSe("arr",qe[3][1]),$e=mSe("indx",[10,sS]),Te=ge[2];if(Te!==CM){if(Te!==bB&&Te!==lD)throw vV([0,NC,Fcn],1);var Ne=[0,gSe($e),0],Fe=qSe(14,[0,gSe(De),Ne])}else Fe=gSe($e);var Ue=mSe(Ucn,BS),Ge=dSe(Gcn),Pe=oZe($e,qSe(12,[0,gSe($e),0])),Ke=fZe(Ge,uZe(0)),Oe=[0,gSe(Ue),0],Me=ZSe(qSe(13,[0,gSe($e),Oe]),Ke,Pe),Re=[0,dZe(EXe(xe)),0],Ve=AZe(Ge,vS,sZe(RSe([0,jZe(wXe(CXe,_e),Fe),Re],Me))),Le=aZe(),He=jC(Pqe[20],-1),Qe=[0,[0,dpe,[2,[6,He]],[0,BS,nJ[2],nJ[3],nJ[4]]],0],Ce=ZSe(qSe(13,[0,gSe(Ue),Qe]),Le,Ve),Se=[0,pZe($e,[0,dpe,[2,[1,Mqe[2]]],[0,sS,nJ[2],nJ[3],nJ[4]]]),0],Ze=[0,kZe(Ue,qSe(15,[0,gSe(De),0])),Se],ze=[0,dZe(EXe(Ee)),Ze];return RSe([0,kZe(De,EXe(qe)),ze],Ce)[2]}}}var Xe=EXe(xe),Je=EXe(me),We=wXe(CXe,_e),Ye=dSe(tun),ru=Lxe(tJ,$xe([0,tJ,0],Je[3][1])[2]),nu=mSe("nxt",ru),tu=fZe(Ye,aZe()),eu=aZe(),uu=AZe(Ye,vS,sZe(tZe(SSe(gSe(nu),0,eu),tu,We,Xe,vS)));return mZe(nu,nZe(Je,tJ,ru),uu)[2]}e=he[2];break;case 34:var au=e[2],fu=e[1],iu=EXe(e[3]);return[8,fu[2],au[3],iu];case 35:var cu=e[2],ou=e[1],vu=EXe(e[3]);return fZe(JEe(ou,cu),vu)[2];case 36:return iZe(EXe(e[1]))[2];case 37:return EXe(e[1])[2];case 38:var Au=e[2],su=e[4],bu=e[3],lu=$Xe(0===Au?1:0,e[1]),Bu=n[1],ju=lu[2],ku=lu[1];if("number"!=typeof Bu&&9===Bu[0]){var pu=Bu[2],du=EXe(su),mu=[0,r,[9,Au,VXe(bu),du,pu],n];return RSe(TW(ku,ju),mu)[2]}throw vV([0,NC,qcn],1);case 39:return[0,[0,[10,e[1]],[0,EXe(e[2]),0]]];case 40:return[0,[0,5,[0,EXe(e[2]),0]]];case 41:throw vV([0,NC,Icn],1);case 42:var _u=e[1][1];throw vV([0,qC,jC(F3(Ecn),_u)],1);case 43:return gSe([0,GF+e[1],n[1]])[2];case 44:return[0,[0,6,[0,EXe(e[1]),0]]];case 45:var hu=e[3],xu=e[2],yu=e[1];if(!hu){var wu=HXe(xu);return[16,EXe(yu),wu,0]}var gu=UZe(0,EXe(hu[1])),qu=gu[2];if(12===qu[0]&&!qu[4]){var Iu=[0,gu[1],[12,"$cleanup",qu[2],qu[3],0,qu[5],qu[6],qu[7]],gu[3]];if(!sxe(Iu[3][1]))throw vV([0,NC,Dcn],1);var Eu=mSe("thunk",Iu[3][1]),Du=[0,[0,Eu[1],Eu[2]]],$u=HXe(xu),Tu=[16,EXe(yu),$u,Du],Nu=[0,yu[1],Tu,n];return RSe([0,kZe(Eu,Iu),0],Nu)[2]}throw vV([0,NC,aun],1);default:var Fu=e[1],Uu=aZe(),Gu=EXe(Fu);return[4,[0,[0,[0,Fu[1],[0,[0,Fu[1],0,0],Gu],0],0],Uu]]}}function $Xe(r,n){if(!n)return Ncn;var t=n[1];if(!r)return[0,[0,dZe(EXe(t)),0],0];if(Pye(0,t[3][1],[3,0,[0,bwe,0],0]))var e=0,u=[0,function(r){return dZe(vZe("@cycles",nZe(r,gS,sS)))},0];else e=0,u=0;if(Pye(0,t[3][1],[3,0,[0,lwe,0],0]))var a=0,f=[0,function(r){return dZe(vZe($cn,PSe(nZe(r,IS,bS))))},0];else a=[0,dZe(oZe([0,Tcn,[10,[6,bS]]],QSe())),0],f=0;var i=TW(e,a),c=TW(u,f);if(0===c)return[0,[0,dZe(EXe(t)),0],i];var o=mSe("par",t[3][1]),v=TW(GY((function(r){return jC(r,gSe(o))}),c),i);return[0,[0,kZe(o,EXe(t)),0],v]}function TXe(r){function n(r){r:{if(0===r[0]){var n=r[1];if(7!==n&&n)break r}else{var t=r[1];if(7!==t&&2<=t)break r}return 1}return 0}function t(r){r:{if(0===r[0]){if(2!==r[1])break r}else if(1>>0)break r;return 1}return 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j=f[1];if(t(r)&&kC(Pqe[12],j,Pqe[3]))return 1}return 0;case 41:u=a[1];break;default:return 0}}}}function NXe(r,n,t,e,u,a){switch(n[2]){case 1:return OXe(r,0,t,e,u,a);case 0:case 3:return RXe(r,n[2],e,u,a);default:throw vV([0,NC,Pcn],1)}}function FXe(r){var n=r[1];return[0,dpe,[0,n,n],r[2]]}function UXe(r){if("number"!=typeof r&&3===r[0])return GY(FXe,r[2]);throw vV([0,NC,Kcn],1)}function GXe(r,n,t){var e=ISe(n),u=OCe(aSe,t)[2];return qCe[3].call(null,r,u)?t:TW([0,kZe([0,r,n],e),0],t)}function PXe(r,n,t){return e0((function(n){var e=n[2],u=e[1],a=u[2];r:if(1===a[0]){var f=a[1],i=f[2];if("number"!=typeof i&&0===i[0]){var c=i[1],o=f[3],v=e[2][2],A=u[1];if("number"!=typeof v)break r;if(!v)break r;if(c[2]!==r)break r;if(r!==yN)if(r!==z_)if(r!==km)if(r!==Y$){if(r===St||r===ON)s=[0,0,0];else var s=0;var b=uZe(0),l=SSe(gSe([0,c[2],o]),s,b)}else{var B=aZe(),j=gSe([0,"@set_global_timer",hS]),k=RSe([0,dZe(SSe(gSe([0,c[2],o]),Mcn,j)),0],B);l=[0,A,k[2],k[3]]}else{var 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1132:return[0,[0,p5r,lz]];case 1133:return d5r;case 1134:return m5r;case 1135:return[0,lz];case 1136:return _5r;case 1137:return[0,$Le];case 1138:return[0,vz];case 1139:return h5r;default:return x5r}switch(n){case 1070:return[0,cz];case 1071:return M4r;case 1072:return[0,[0,R4r,oz]];case 1073:return[0,oz];case 1074:return V4r;case 1075:return L4r;case 1076:return[0,[0,Q4r,[0,[2,FLe],H4r]]];case 1077:return[0,FLe];case 1078:return[0,[0,C4r,GLe]];case 1079:return[0,GLe];case 1080:return[0,[0,S4r,OLe]];case 1081:return[0,OLe];case 1082:return[0,KLe];case 1083:return[0,PLe];case 1084:return Z4r;case 1085:return[0,ULe];case 1086:return z4r;case 1087:return[0,[0,X4r,Az]];case 1088:return J4r;case 1089:return W4r;case 1090:return[0,Az];case 1091:return Y4r;case 1092:return[0,NLe];case 1093:return[0,TLe];case 1094:return[0,[0,r5r,QLe]];case 1095:return[0,QLe];case 1096:return[0,[0,n5r,SLe]];case 1097:return[0,[0,t5r,zLe]];case 1098:return[0,zLe];case 1099:return[0,ZLe];case 1100:return e5r;case 1101:return[0,SLe];case 1102:return[0,CLe];case 1103:return u5r;case 1104:return[0,[0,a5r,JLe]];default:return[0,[0,f5r,YLe]]}}if(1035<=n)switch(n){case 1035:return B4r;case 1036:return j4r;case 1037:return k4r;case 1038:return[0,[0,p4r,ILe]];case 1039:return[0,ILe];case 1040:return[0,qLe];case 1041:return[0,gLe];case 1042:return d4r;case 1043:return m4r;case 1044:return _4r;case 1045:return h4r;case 1046:return x4r;case 1047:return y4r;case 1048:return[0,NMe];case 1049:return[0,TMe];case 1050:return w4r;case 1051:return g4r;case 1052:return[0,[0,[2,yZ],q4r]];case 1053:return I4r;case 1054:return E4r;case 1055:return[0,xMe];case 1056:return D4r;case 1057:return[0,xZ];case 1058:return $4r;case 1059:return T4r;case 1060:return N4r;case 1061:return[0,_Z];case 1062:return F4r;case 1063:return U4r;case 1064:return[0,[0,P4r,[0,[2,DLe],G4r]]];case 1065:return[0,DLe];case 1066:return[0,ELe];case 1067:return[0,iz];case 1068:return K4r;default:return[0,[0,O4r,cz]]}switch(n){case 999:return[0,LMe];case 1e3:return C6r;case 1001:return[0,DZ];case 1002:return S6r;case 1003:return[0,OMe];case 1004:return[0,KMe];case 1005:return Z6r;case 1006:return[0,[0,[2,uOe],xLe]];case 1007:return[0,xLe];case 1008:return z6r;case 1009:return X6r;case 1010:return[0,[0,[2,yZ],J6r]];case 1011:return W6r;case 1012:return Y6r;case 1013:return r4r;case 1014:return[0,EZ];case 1015:return n4r;case 1016:return t4r;case 1017:return[0,rz];case 1018:return[0,qZ];case 1019:return e4r;case 1020:return[0,[0,u4r,yLe]];case 1021:return[0,yLe];case 1022:return[0,fz];case 1023:return a4r;case 1024:return f4r;case 1025:return i4r;case 1026:return c4r;case 1027:return o4r;case 1028:return v4r;case 1029:return A4r;case 1030:default:return[0,wLe];case 1031:return s4r;case 1032:return b4r;case 1033:return l4r}}if(928<=n){if(964<=n)switch(n){case 964:return[0,dLe];case 965:return[0,pLe];case 966:return y6r;case 967:return[0,ez];case 968:return[0,hLe];case 969:return w6r;case 970:return[0,SRe];case 971:return[0,CRe];case 972:return[0,OZ];case 973:return g6r;case 974:return[0,[0,[2,yZ],q6r]];case 975:return I6r;case 976:return[0,FZ];case 977:return E6r;case 978:return D6r;case 979:return $6r;case 980:return T6r;case 981:return[0,[0,N6r,uz]];case 982:return F6r;case 983:return U6r;case 984:return[0,uz];case 985:return G6r;case 986:return P6r;case 987:return K6r;case 988:return O6r;case 989:return[0,TZ];case 990:return M6r;case 991:return[0,[0,R6r,az]];case 992:return V6r;case 993:return L6r;case 994:return[0,az];case 995:return H6r;case 996:return Q6r;case 997:return[0,QMe];default:return[0,HMe]}switch(n){case 928:return X3r;case 929:return J3r;case 930:case 958:return[0,tz];case 931:return W3r;case 932:return Y3r;case 933:return[0,[0,[2,zZ],r6r]];case 934:return n6r;case 935:return t6r;case 936:return[0,[0,[2,yZ],e6r]];case 937:return u6r;case 938:return[0,HZ];case 939:return a6r;case 940:return f6r;case 941:return i6r;case 942:return c6r;case 943:return o6r;case 944:return v6r;case 945:return A6r;case 946:return s6r;case 947:return b6r;case 948:return[0,KZ];case 949:return l6r;case 950:return[0,PZ];case 951:return B6r;case 952:return j6r;case 953:return k6r;case 954:return p6r;case 955:return[0,[0,[2,yZ],d6r]];case 956:return m6r;case 957:return[0,ez];case 959:return _6r;case 960:return h6r;case 961:return[0,[0,x6r,_Le]];case 962:return[0,_Le];default:return[0,mLe]}}if(892<=n)switch(n){case 892:return T3r;case 893:return[0,JVe];case 894:return[0,XVe];case 895:return[0,zVe];case 896:return N3r;case 897:return[0,[0,F3r,cLe]];case 898:return[0,cLe];case 899:return[0,iLe];case 900:return[0,fLe];case 901:return U3r;case 902:return[0,[0,G3r,sLe]];case 903:return[0,sLe];case 904:return[0,ALe];case 905:return[0,vLe];case 906:return[0,oLe];case 907:return P3r;case 908:return[0,[0,K3r,BLe]];case 909:return[0,BLe];case 910:return[0,lLe];case 911:return[0,bLe];case 912:return O3r;case 913:return[0,[0,M3r,kLe]];case 914:return[0,kLe];case 915:return[0,jLe];case 916:return[0,QVe];case 917:return R3r;case 918:return[0,[0,V3r,LVe]];case 919:return L3r;case 920:return[0,YZ];case 921:return[0,[0,[2,zZ],H3r]];case 922:return Q3r;case 923:return[0,[0,C3r,nz]];case 924:return S3r;case 925:return Z3r;case 926:return[0,nz];default:return z3r}switch(n){case 856:return b3r;case 857:return l3r;case 858:return[0,[0,[2,yZ],B3r]];case 859:return j3r;case 860:return k3r;case 861:return[0,tVe];case 862:return[0,nVe];case 863:return p3r;case 864:return d3r;case 865:return m3r;case 866:return[0,wZ];case 867:return _3r;case 868:return[0,YZ];case 869:return[0,ZZ];case 870:return h3r;case 871:return x3r;case 872:return[0,[0,y3r,ZVe]];case 873:return[0,ZVe];case 874:return[0,rz];case 875:return w3r;case 876:return g3r;case 877:return q3r;case 878:return[0,SVe];case 879:return[0,CVe];case 880:return[0,[0,I3r,YVe]];case 881:return[0,YVe];case 882:return[0,WVe];case 883:return[0,[0,E3r,tLe]];case 884:return[0,tLe];case 885:return[0,nLe];case 886:return[0,rLe];case 887:return D3r;case 888:return[0,[0,$3r,aLe]];case 889:return[0,aLe];case 890:return[0,uLe];default:return[0,eLe]}}if(714<=n){if(785<=n){if(821<=n)switch(n){case 821:return O2r;case 822:return M2r;case 823:return[0,[0,R2r,XZ]];case 824:return[0,XZ];case 825:return V2r;case 826:return[0,[0,L2r,JZ]];case 827:return[0,JZ];case 828:return H2r;case 829:return Q2r;case 830:return C2r;case 831:return S2r;case 832:return Z2r;case 833:return z2r;case 834:return X2r;case 835:return J2r;case 836:return W2r;case 837:return Y2r;case 838:return r3r;case 839:return n3r;case 840:return t3r;case 841:return[0,FVe];case 842:return[0,NVe];case 843:return e3r;case 844:return u3r;case 845:return[0,[0,[2,yZ],a3r]];case 846:return f3r;case 847:return i3r;case 848:return c3r;case 849:return o3r;case 850:return[0,CZ];case 851:return v3r;case 852:return[0,[0,A3r,WZ]];case 853:return[0,WZ];case 854:return s3r;default:return[0,QZ]}switch(n){case 785:return[0,[0,[2,HVe],a2r]];case 786:return f2r;case 787:return[0,[0,[2,HVe],i2r]];case 788:return c2r;case 789:return[0,[0,[2,HVe],o2r]];case 790:return v2r;case 791:return[0,[0,[2,HVe],A2r]];case 792:return s2r;case 793:return[0,[0,[2,HVe],b2r]];case 794:return l2r;case 795:return[0,[0,[2,HVe],B2r]];case 796:return j2r;case 797:return k2r;case 798:return p2r;case 799:return[0,[0,[2,oOe],d2r]];case 800:return m2r;case 801:return _2r;case 802:return h2r;case 803:return x2r;case 804:return y2r;case 805:return[0,[0,[2,HVe],w2r]];case 806:return g2r;case 807:return q2r;case 808:return I2r;case 809:return[0,[0,[2,HVe],E2r]];case 810:return D2r;case 811:return[0,[0,[2,HVe],$2r]];case 812:return T2r;case 813:return[0,SZ];case 814:return N2r;case 815:return F2r;case 816:return[0,ZZ];case 817:return U2r;case 818:return G2r;case 819:return[0,[0,[2,zZ],P2r]];default:return K2r}}if(750<=n)switch(n){case 750:return y1r;case 751:return w1r;case 752:return g1r;case 753:return[0,[0,[2,HVe],q1r]];case 754:return I1r;case 755:return E1r;case 756:return D1r;case 757:return[0,[0,[2,HVe],$1r]];case 758:return T1r;case 759:return N1r;case 760:return F1r;case 761:return U1r;case 762:return G1r;case 763:return[0,[0,[2,HVe],P1r]];case 764:return K1r;case 765:return[0,[0,[2,HVe],O1r]];case 766:return M1r;case 767:return R1r;case 768:return V1r;case 769:return[0,[0,[2,HVe],L1r]];case 770:return H1r;case 771:return[0,[0,[2,HVe],Q1r]];case 772:return C1r;case 773:return[0,[0,[2,HVe],S1r]];case 774:return Z1r;case 775:return z1r;case 776:return X1r;case 777:return[0,[0,[2,HVe],J1r]];case 778:return W1r;case 779:return Y1r;case 780:return r2r;case 781:return n2r;case 782:return t2r;case 783:return[0,[0,[2,HVe],e2r]];default:return u2r}switch(n){case 714:return[0,[0,[2,oOe],V0r]];case 715:return L0r;case 716:return H0r;case 717:return Q0r;case 718:return C0r;case 719:return S0r;case 720:return Z0r;case 721:return z0r;case 722:return X0r;case 723:return[0,[0,[2,HVe],J0r]];case 724:return W0r;case 725:return Y0r;case 726:return r1r;case 727:return[0,[0,[2,HVe],n1r]];case 728:return t1r;case 729:return e1r;case 730:return u1r;case 731:return[0,[0,[2,HVe],a1r]];case 732:return f1r;case 733:return i1r;case 734:return c1r;case 735:return[0,[0,[2,HVe],o1r]];case 736:return v1r;case 737:return A1r;case 738:return s1r;case 739:return[0,[0,[2,HVe],b1r]];case 740:return l1r;case 741:return[0,[0,[2,HVe],B1r]];case 742:return j1r;case 743:return k1r;case 744:return p1r;case 745:return[0,[0,[2,HVe],d1r]];case 746:return m1r;case 747:return _1r;case 748:return h1r;default:return[0,[0,[2,HVe],x1r]]}}if(643<=n){if(679<=n)switch(n){case 679:return i0r;case 680:return c0r;case 681:return o0r;case 682:return[0,[0,[2,HVe],v0r]];case 683:return A0r;case 684:return[0,[0,[2,HVe],s0r]];case 685:return b0r;case 686:return[0,[0,[2,HVe],l0r]];case 687:return B0r;case 688:return[0,[0,[2,HVe],j0r]];case 689:return k0r;case 690:return[0,[0,[2,HVe],p0r]];case 691:return d0r;case 692:return[0,[0,[2,HVe],m0r]];case 693:return _0r;case 694:return[0,[0,[2,HVe],h0r]];case 695:return x0r;case 696:return[0,[0,[2,HVe],y0r]];case 697:return w0r;case 698:return[0,[0,[2,HVe],g0r]];case 699:return q0r;case 700:return[0,[0,[2,HVe],I0r]];case 701:return E0r;case 702:return[0,[0,[2,HVe],D0r]];case 703:return $0r;case 704:return T0r;case 705:return N0r;case 706:return F0r;case 707:return U0r;case 708:return G0r;case 709:return P0r;case 710:return K0r;case 711:return O0r;case 712:return M0r;default:return R0r}switch(n){case 643:return wYr;case 644:return[0,[0,[2,HVe],gYr]];case 645:return qYr;case 646:return[0,[0,[2,HVe],IYr]];case 647:return EYr;case 648:return[0,[0,[2,HVe],DYr]];case 649:return $Yr;case 650:return[0,[0,[2,HVe],TYr]];case 651:return NYr;case 652:return[0,[0,[2,HVe],FYr]];case 653:return UYr;case 654:return[0,[0,[2,HVe],GYr]];case 655:return PYr;case 656:return[0,[0,[2,HVe],KYr]];case 657:return OYr;case 658:return MYr;case 659:return RYr;case 660:return VYr;case 661:return LYr;case 662:return HYr;case 663:return QYr;case 664:return[0,[0,[2,HVe],CYr]];case 665:return SYr;case 666:return ZYr;case 667:return zYr;case 668:return[0,[0,[2,HVe],XYr]];case 669:return JYr;case 670:return WYr;case 671:return YYr;case 672:return r0r;case 673:return n0r;case 674:return t0r;case 675:return e0r;case 676:return u0r;case 677:return a0r;default:return f0r}}if(607<=n)switch(n){case 607:return[0,[0,[2,HVe],HWr]];case 608:return QWr;case 609:return CWr;case 610:return[0,[0,[2,HVe],SWr]];case 611:return ZWr;case 612:return[0,[0,[2,HVe],zWr]];case 613:return XWr;case 614:return[0,[0,[2,HVe],JWr]];case 615:return WWr;case 616:return[0,[0,[2,HVe],YWr]];case 617:return rYr;case 618:return[0,[0,[2,HVe],nYr]];case 619:return tYr;case 620:return[0,[0,[2,HVe],eYr]];case 621:return uYr;case 622:return aYr;case 623:return[0,[0,[2,yZ],fYr]];case 624:return iYr;case 625:return cYr;case 626:return oYr;case 627:return vYr;case 628:return AYr;case 629:return sYr;case 630:return[0,[0,[2,yZ],bYr]];case 631:return lYr;case 632:return[0,[0,[2,yZ],BYr]];case 633:return jYr;case 634:return[0,JRe];case 635:return kYr;case 636:return pYr;case 637:return dYr;case 638:return[0,[0,[2,HVe],mYr]];case 639:return _Yr;case 640:return hYr;case 641:return xYr;default:return yYr}switch(n){case 571:return BWr;case 572:return jWr;case 573:return kWr;case 574:return pWr;case 575:return[0,[0,[2,yZ],dWr]];case 576:return[0,[0,[2,yZ],mWr]];case 577:return[0,[0,[2,yZ],_Wr]];case 578:return[0,[0,[2,yZ],hWr]];case 579:return[0,[0,[2,yZ],xWr]];case 580:return[0,[0,[2,yZ],yWr]];case 581:return[0,[0,[2,_Me],wWr]];case 582:return gWr;case 583:return[0,[0,[2,XRe],qWr]];case 584:return[0,[0,IWr,OVe]];case 585:return[0,OVe];case 586:return[0,KVe];case 587:return EWr;case 588:return[0,[0,[2,RMe],RVe]];case 589:return[0,RVe];case 590:return[0,MVe];case 591:return DWr;case 592:return $Wr;case 593:return[0,LVe];case 594:return[0,VVe];case 595:return TWr;case 596:return NWr;case 597:return FWr;case 598:return UWr;case 599:return[0,[0,GWr,SZ]];case 600:return[0,[0,[2,yZ],PWr]];case 601:return KWr;case 602:return OWr;case 603:return MWr;case 604:return RWr;case 605:return VWr;default:return LWr}}if(MR<=n){if(HF<=n){if(vE<=n){if(536<=n)switch(n){case 536:return[0,[0,[2,RMe],EVe]];case 537:return[0,EVe];case 538:return[0,IVe];case 539:return LJr;case 540:return HJr;case 541:return QJr;case 542:return CJr;case 543:return SJr;case 544:return[0,[0,[2,yZ],ZJr]];case 545:return[0,[0,zJr,$Ve]];case 546:return[0,$Ve];case 547:return[0,DVe];case 548:return[0,[0,[2,yZ],XJr]];case 549:return[0,[0,JJr,TVe]];case 550:return[0,TVe];case 551:return WJr;case 552:return YJr;case 553:return rWr;case 554:return nWr;case 555:return[0,[0,[2,_Me],tWr]];case 556:return eWr;case 557:return[0,[0,uWr,PVe]];case 558:return[0,PVe];case 559:return[0,GVe];case 560:return[0,UVe];case 561:return[0,[0,[2,yZ],aWr]];case 562:return[0,[0,[2,fVe],fWr]];case 563:return[0,[0,[2,fVe],iWr]];case 564:return cWr;case 565:return oWr;case 566:return vWr;case 567:return[0,[0,[2,_Me],AWr]];case 568:return sWr;case 569:return[0,[0,[2,yZ],bWr]];default:return lWr}switch(n){case 500:return IJr;case 501:return EJr;case 502:return DJr;case 503:return[0,[0,$Jr,AVe]];case 504:return[0,AVe];case 505:return[0,vVe];case 506:return[0,[0,TJr,BVe]];case 507:return[0,BVe];case 508:return[0,lVe];case 509:return[0,bVe];case 510:return[0,sVe];case 511:return NJr;case 512:return[0,[0,FJr,pVe]];case 513:return[0,pVe];case 514:return[0,kVe];case 515:return[0,jVe];case 516:return UJr;case 517:return[0,[0,GJr,_Ve]];case 518:return[0,_Ve];case 519:return[0,mVe];case 520:return[0,dVe];case 521:return PJr;case 522:return[0,oVe];case 523:return[0,cVe];case 524:return[0,iVe];case 525:return KJr;case 526:return OJr;case 527:return[0,yVe];case 528:return[0,xVe];case 529:return[0,hVe];case 530:return MJr;case 531:return[0,[0,RJr,qVe]];case 532:return[0,qVe];case 533:return[0,gVe];case 534:return[0,wVe];default:return VJr}}if(EP<=n)switch(n){case 465:return uJr;case 466:return[0,RZ];case 467:return aJr;case 468:return[0,[0,fJr,HZ]];case 469:return[0,[0,iJr,WRe]];case 470:return[0,WRe];case 471:return cJr;case 472:return oJr;case 473:return[0,[0,[2,_Me],vJr]];case 474:return AJr;case 475:return sJr;case 476:return bJr;case 477:return[0,[0,[2,_Me],lJr]];case 478:return BJr;case 479:return[0,[0,[2,_Me],jJr]];case 480:return kJr;case 481:case 483:return[0,yMe];case 482:return pJr;case 484:return[0,[0,[2,RMe],rVe]];case 485:return[0,rVe];case 486:return[0,YRe];case 487:return[0,$Z];case 488:return[0,[0,dJr,aVe]];case 489:return[0,aVe];case 490:return[0,uVe];case 491:return[0,eVe];case 492:return[0,[0,[2,fVe],mJr]];case 493:return[0,[0,[2,fVe],_Jr]];case 494:return hJr;case 495:return xJr;case 496:return[0,[0,[2,yZ],yJr]];case 497:return[0,[0,[2,yZ],wJr]];case 498:return[0,[0,gJr,QZ]];default:return[0,[0,qJr,CZ]]}switch(n){case 429:return NXr;case 430:return[0,[0,FXr,GZ]];case 431:return UXr;case 432:return GXr;case 433:return[0,GZ];case 434:return PXr;case 435:return[0,[0,[2,_Me],KXr]];case 436:return[0,[0,OXr,PZ]];case 437:return[0,[0,MXr,KZ]];case 438:return[0,SRe];case 439:return[0,CRe];case 440:return[0,OZ];case 441:return[0,[0,RXr,zRe]];case 442:return[0,zRe];case 443:return[0,ZRe];case 444:return VXr;case 445:return[0,[0,LXr,MZ]];case 446:return[0,MZ];case 447:return[0,[0,[2,yZ],HXr]];case 448:return[0,[0,[2,_Me],QXr]];case 449:return CXr;case 450:return SXr;case 451:return ZXr;case 452:return[0,[0,[2,_Me],zXr]];case 453:return[0,[0,[2,_Me],XXr]];case 454:return[0,[0,[2,_Me],JXr]];case 455:return[0,JRe];case 456:return WXr;case 457:return YXr;case 458:return rJr;case 459:return[0,[0,nJr,RZ]];case 460:return[0,[0,tJr,VZ]];case 461:return[0,[0,[2,vOe],LZ]];case 462:return[0,LZ];case 463:return eJr;default:return[0,VZ]}}if(Rj<=n){if(Zf<=n)switch(n){case 394:return[0,[0,dXr,FRe]];case 395:return[0,FRe];case 396:return[0,NRe];case 397:return mXr;case 398:return[0,[0,[2,RMe],GRe]];case 399:return[0,GRe];case 400:return[0,URe];case 401:return _Xr;case 402:return[0,TRe];case 403:return[0,$Re];case 404:return hXr;case 405:return[0,[0,xXr,KRe]];case 406:return[0,[0,yXr,MRe]];case 407:return[0,MRe];case 408:return[0,ORe];case 409:return wXr;case 410:return[0,[0,[2,RMe],VRe]];case 411:return[0,VRe];case 412:return[0,RRe];case 413:return gXr;case 414:return[0,KRe];case 415:return[0,PRe];case 416:return qXr;case 417:return[0,[0,[2,tZ],LRe]];case 418:return[0,LRe];case 419:return IXr;case 420:case 422:return[0,yMe];case 421:return[0,[0,[2,hZ],EXr]];case 423:return[0,[0,[2,yZ],DXr]];case 424:return[0,[0,[2,yZ],$Xr]];case 425:return[0,[0,TXr,QRe]];case 426:return[0,QRe];case 427:return[0,HRe];default:return[0,UZ]}switch(n){case 358:return[0,lRe];case 359:return[0,bRe];case 360:return[0,[0,[2,zMe],eXr]];case 361:return[0,[0,[2,zMe],uXr]];case 362:return aXr;case 363:return fXr;case 364:return iXr;case 365:return cXr;case 366:return[0,[0,oXr,dRe]];case 367:return[0,dRe];case 368:return[0,pRe];case 369:return[0,kRe];case 370:return vXr;case 371:return[0,[0,AXr,hRe]];case 372:return[0,hRe];case 373:return[0,_Re];case 374:return[0,mRe];case 375:return sXr;case 376:return[0,ARe];case 377:return[0,vRe];case 378:return[0,oRe];case 379:return[0,xRe];case 380:return[0,[0,bXr,gRe]];case 381:return[0,gRe];case 382:return[0,[0,lXr,IRe]];case 383:return[0,IRe];case 384:return[0,qRe];case 385:return BXr;case 386:return[0,[0,[2,RMe],DRe]];case 387:return[0,DRe];case 388:return[0,ERe];case 389:return jXr;case 390:return[0,wRe];case 391:return[0,yRe];case 392:return kXr;default:return[0,[0,pXr,TRe]]}}if(vR<=n)switch(n){case 322:return[0,[0,Gzr,tRe]];case 323:return[0,[0,Pzr,uRe]];case 324:return[0,uRe];case 325:return[0,eRe];case 326:return Kzr;case 327:return[0,tRe];case 328:return[0,nRe];case 329:return Ozr;case 330:return Mzr;case 331:return[0,[0,Rzr,fRe]];case 332:return[0,[0,Vzr,cRe]];case 333:return[0,cRe];case 334:return[0,iRe];case 335:return Lzr;case 336:return[0,fRe];case 337:return[0,aRe];case 338:return Hzr;case 339:return Qzr;case 340:return Czr;case 341:return[0,WMe];case 342:return[0,JMe];case 343:return[0,ZMe];case 344:return Szr;case 345:return Zzr;case 346:return zzr;case 347:return[0,[0,Xzr,NZ]];case 348:return Jzr;case 349:return Wzr;case 350:return Yzr;case 351:return[0,NZ];case 352:return rXr;case 353:return[0,[0,nXr,sRe]];case 354:return[0,sRe];case 355:return[0,[0,tXr,jRe]];case 356:return[0,jRe];default:return[0,BRe]}switch(n){case 286:return[0,[0,[2,_Me],bzr]];case 287:return[0,[0,[2,_Me],lzr]];case 288:return Bzr;case 289:return[0,[0,[2,_Me],jzr]];case 290:return[0,[0,[2,_Me],kzr]];case 291:return[0,yMe];case 292:return[0,[0,[2,yZ],pzr]];case 293:return[0,[0,[2,_Me],dzr]];case 294:return[0,[0,mzr,qZ]];case 295:return[0,[0,_zr,IZ]];case 296:return[0,IZ];case 297:return hzr;case 298:return xzr;case 299:return[0,[0,yzr,UMe]];case 300:return wzr;case 301:return gzr;case 302:return qzr;case 303:return Izr;case 304:return Ezr;case 305:return[0,UMe];case 306:return[0,FMe];case 307:return[0,[0,[2,uOe],GMe]];case 308:return[0,GMe];case 309:return[0,[0,Dzr,PMe]];case 310:return[0,PMe];case 311:return $zr;case 312:return[0,[0,[2,yZ],OMe]];case 313:return[0,[0,Tzr,MMe]];case 314:return[0,MMe];case 315:return[0,[0,Nzr,SMe]];case 316:return[0,SMe];case 317:return Fzr;case 318:return[0,CMe];case 319:return[0,[0,Uzr,rRe]];case 320:return[0,rRe];default:return[0,YMe]}}if(AG<=n){if(215<=n){if(_R<=n)switch(n){case 251:return QZr;case 252:return[0,[0,CZr,mZ]];case 253:return SZr;case 254:return ZZr;case 255:return[0,mZ];case 256:return zZr;case 257:return XZr;case 258:return[0,[0,WZr,[0,[2,mMe],JZr]]];case 259:return[0,mMe];case 260:return[0,dMe];case 261:return[0,[0,[2,_Me],YZr]];case 262:return[0,[0,[2,_Me],rzr]];case 263:return nzr;case 264:return[0,[0,tzr,hMe]];case 265:return[0,hMe];case 266:return[0,[0,ezr,xMe]];case 267:return uzr;case 268:return azr;case 269:return[0,yMe];case 270:return[0,[0,fzr,gMe]];case 271:return[0,gMe];case 272:return[0,wMe];case 273:return[0,gZ];case 274:return[0,[0,izr,IMe]];case 275:return[0,IMe];case 276:return[0,[0,czr,$Me]];case 277:return[0,$Me];case 278:return[0,DMe];case 279:return[0,EMe];case 280:return ozr;case 281:return[0,qMe];case 282:return vzr;case 283:return[0,[0,[2,yZ],NMe]];case 284:return[0,[0,[2,_Me],Azr]];default:return[0,[0,[2,_Me],szr]]}switch(n){case 215:return[0,[0,[2,pMe],lZr]];case 216:return BZr;case 217:return jZr;case 218:return kZr;case 219:return pZr;case 220:return dZr;case 221:return mZr;case 222:return[0,[0,[2,nZ],_Zr]];case 223:return hZr;case 224:return xZr;case 225:return yZr;case 226:return wZr;case 227:return[0,[0,[2,kMe],gZr]];case 228:return qZr;case 229:return[0,[0,[2,vOe],IZr]];case 230:return EZr;case 231:return DZr;case 232:return[0,eZ];case 233:return $Zr;case 234:return[0,[0,TZr,pZ]];case 235:return NZr;case 236:return FZr;case 237:return[0,pZ];case 238:return UZr;case 239:return GZr;case 240:return[0,rZ];case 241:return PZr;case 242:return[0,[0,KZr,dZ]];case 243:return[0,dZ];case 244:return OZr;case 245:return MZr;case 246:return RZr;case 247:return VZr;case 248:return LZr;case 249:return HZr;default:return[0,YS]}}if(Xd<=n)switch(n){case 179:return ZSr;case 180:return[0,xOe];case 181:return[0,hOe];case 182:return zSr;case 183:return XSr;case 184:return[0,fZ];case 185:return JSr;case 186:return[0,_Oe];case 187:return[0,mOe];case 188:return[0,dOe];case 189:return[0,pOe];case 190:return WSr;case 191:return[0,kOe];case 192:return[0,jOe];case 193:return[0,BOe];case 194:return[0,lOe];case 195:return YSr;case 196:return[0,sOe];case 197:return[0,AOe];case 198:return rZr;case 199:return[0,[0,nZr,jMe]];case 200:return[0,jMe];case 201:return tZr;case 202:return eZr;case 203:return[0,[0,[2,vOe],uZr]];case 204:return aZr;case 205:return[0,[0,fZr,kZ]];case 206:return[0,kZ];case 207:return iZr;case 208:return cZr;case 209:return[0,aZ];case 210:return oZr;case 211:return vZr;case 212:return AZr;case 213:return sZr;default:return bZr}switch(n){case 143:return[0,[0,xSr,BMe]];case 144:return[0,BMe];case 145:return ySr;case 146:return[0,[0,wSr,lZ]];case 147:return gSr;case 148:return qSr;case 149:return[0,lZ];case 150:return ISr;case 151:return[0,iZ];case 152:return ESr;case 153:return DSr;case 154:return $Sr;case 155:return TSr;case 156:return NSr;case 157:return[0,BZ];case 158:return FSr;case 159:return USr;case 160:return GSr;case 161:return[0,[0,PSr,BZ]];case 162:return[0,[0,KSr,jZ]];case 163:return OSr;case 164:return MSr;case 165:return[0,jZ];case 166:return RSr;case 167:return VSr;case 168:return LSr;case 169:return HSr;case 170:return QSr;case 171:return CSr;case 172:return[0,EOe];case 173:return[0,IOe];case 174:return SSr;case 175:return[0,qOe];case 176:return[0,gOe];case 177:return[0,wOe];default:return[0,yOe]}}if(72<=n){if(_d<=n)switch(n){case 108:return[0,WOe];case 109:return oSr;case 110:return[0,XOe];case 111:return[0,zOe];case 112:return vSr;case 113:return[0,vZ];case 114:return ASr;case 115:return[0,oZ];case 116:return sSr;case 117:return[0,COe];case 118:return[0,QOe];case 119:return bSr;case 120:return[0,HOe];case 121:return[0,LOe];case 122:return[0,VOe];case 123:return[0,ROe];case 124:return lSr;case 125:return BSr;case 126:return[0,GOe];case 127:return jSr;case 128:return[0,[0,kSr,fMe]];case 129:return[0,[0,pSr,vMe]];case 130:return[0,[0,dSr,lMe]];case 131:return[0,lMe];case 132:return[0,bMe];case 133:return[0,sMe];case 134:return[0,AMe];case 135:return mSr;case 136:return[0,vMe];case 137:return[0,oMe];case 138:return[0,cMe];case 139:return[0,iMe];case 140:return _Sr;case 141:return[0,fMe];default:return hSr}switch(n){case 72:return[0,eMe];case 73:return[0,tMe];case 74:return[0,[0,[2,cOe],GCr]];case 75:return[0,[0,[2,cOe],PCr]];case 76:return[0,[0,[2,UOe],KCr]];case 77:return OCr;case 78:return MCr;case 79:return RCr;case 80:return[0,uZ];case 81:return[0,[0,VCr,AZ]];case 82:return LCr;case 83:return[0,[0,[2,oOe],HCr]];case 84:return QCr;case 85:return CCr;case 86:return SCr;case 87:return ZCr;case 88:return[0,[0,zCr,sZ]];case 89:return[0,sZ];case 90:return XCr;case 91:return JCr;case 92:return[0,[0,WCr,bZ]];case 93:return[0,[0,[2,vOe],YCr]];case 94:return rSr;case 95:return[0,[0,[2,vOe],nSr]];case 96:return tSr;case 97:return[0,bZ];case 98:return eSr;case 99:return[0,AZ];case 100:return uSr;case 101:return aSr;case 102:return fSr;case 103:return iSr;case 104:return cSr;case 105:return[0,nMe];case 106:return[0,rMe];default:return[0,YOe]}}if(36<=n)switch(n){case 36:return[0,[0,pCr,$Oe]];case 37:return[0,$Oe];case 38:return[0,DOe];case 39:case 46:return[0,TOe];case 40:return[0,[0,dCr,FOe]];case 41:return[0,FOe];case 42:return[0,NOe];case 43:return mCr;case 44:return _Cr;case 45:return[0,[0,[2,UOe],hCr]];case 47:return[0,[0,xCr,POe]];case 48:return[0,POe];case 49:return[0,[0,yCr,MOe]];case 50:return[0,[0,wCr,cZ]];case 51:return[0,cZ];case 52:return gCr;case 53:return[0,MOe];case 54:return[0,OOe];case 55:return[0,KOe];case 56:return[0,[0,[2,UOe],qCr]];case 57:return ICr;case 58:return[0,[0,ECr,HOe]];case 59:return[0,[0,DCr,ZOe]];case 60:return[0,ZOe];case 61:return[0,SOe];case 62:return[0,[0,[2,vOe],oZ]];case 63:return[0,[0,[2,vOe],vZ]];case 64:return $Cr;case 65:return[0,[0,TCr,JOe]];case 66:return[0,JOe];case 67:return[0,[0,NCr,nMe]];case 68:return[0,[0,FCr,aMe]];case 69:return[0,aMe];case 70:return[0,uMe];default:return UCr}switch(n){case 0:return[0,[0,KQr,[0,[2,eOe],PQr]]];case 1:return[0,eOe];case 2:return OQr;case 3:return MQr;case 4:return RQr;case 5:return VQr;case 6:return LQr;case 7:return[0,[0,HQr,rZ]];case 8:return[0,[0,[2,nZ],QQr]];case 9:return CQr;case 10:return SQr;case 11:return ZQr;case 12:return zQr;case 13:return[0,[0,[2,nZ],XQr]];case 14:return JQr;case 15:return[0,[0,[2,aOe],WQr]];case 16:return[0,[0,YQr,eZ]];case 17:return rCr;case 18:return nCr;case 19:return tCr;case 20:return[0,[0,[2,vOe],eCr]];case 21:return[0,[0,[2,iOe],uCr]];case 22:return[0,[0,[2,iOe],aCr]];case 23:return[0,[0,fCr,aZ]];case 24:return[0,[0,iCr,bOe]];case 25:return cCr;case 26:return oCr;case 27:return vCr;case 28:return[0,bOe];case 29:return[0,[0,ACr,kOe]];case 30:return[0,[0,sCr,_Oe]];case 31:return[0,[0,lCr,[0,bCr,fZ]]];case 32:return BCr;case 33:return[0,[0,[2,vOe],jCr]];case 34:return[0,[0,[2,iOe],xOe]];default:return[0,[0,kCr,qOe]]}}function y0e(r,n){var t=r;if(66<=t){if(99<=t)switch(t){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return wq;case 108:return mq;case 109:return _K;case 110:return VR;case 111:return[6,n];case 112:return nB;case 113:return Eo;case 114:return AR;case 115:return Jv;case 116:return[7,n];case 117:return _d;case 118:return m_;case 119:return WP;case 120:return WT;case 121:return bM;case 122:return kA;case 123:return OT;case 124:return Wl;case 125:return fO;case 126:return Wd;case 127:return Nb;case 128:return Bq;case 129:return lb;default:return dp}switch(t){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return[3,n];case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return[4,n];case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return[5,n]}}if(33<=t)switch(t){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return[1,n];case 57:return 54;case 58:return 55;case 59:return 56;case 60:return[2,n];case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(t){case 0:throw vV([0,NC,GQr],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return[0,n];case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}}function w0e(r){var n=r;if(66<=n){if(99<=n)switch(n){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return wq;case 108:return mq;case 109:return _K;case 110:return VR;case 111:return Trn;case 112:return nB;case 113:return Eo;case 114:return AR;case 115:return Jv;case 116:return Nrn;case 117:return _d;case 118:return m_;case 119:return WP;case 120:return WT;case 121:return bM;case 122:return kA;case 123:return OT;case 124:return Wl;case 125:return fO;case 126:return Wd;case 127:return Nb;case 128:return Bq;case 129:return lb;default:return dp}switch(n){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return Ern;case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return Drn;case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return $rn}}if(33<=n)switch(n){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return qrn;case 57:return 54;case 58:return 55;case 59:return 56;case 60:return Irn;case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(n){case 0:throw vV([0,NC,wrn],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return grn;case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}}function g0e(r){return r[1]}function q0e(r){return F0(Wrn,GY(BHe,r))}function I0e(r){var n=F0(Xrn,GY(BHe,r)),t=F0(Jrn,GY(hHe,r));return 0===dL(n,t)?n:n+" (e.g. '"+t+"')"}function E0e(r){xHe[4].call(null,r);var n=F0(l9r,NY(jHe[1]));return jHe[1]=0,n}function D0e(r){var n=r[1],t=r[2];switch(n[0]){case 0:throw vV([0,qC,sAn],1);case 1:var e=[1,vJe(aJ,n[1])[2]];break;default:var u=n[4],a=n[5],f=n[3],i=n[2],c=n[1],o=u[9],v=eJe(aJ,u[8]),A=u[7],s=u[6],b=u[5],l=u[4],B=eJe(aJ,u[3]),j=eJe(aJ,u[2]),k=[0,u[1],j,B,l,b,s,A,v,o];e=[2,c,vJe(aJ,i)[2],f,k,a]}return[0,e,t]}function $0e(r){var 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p=B[4],d=p[9],m=p[8],_=p[7],h=p[6],x=p[5],y=p[4],w=p[3],g=p[2],q=p[1],I=B[3],E=B[2],D=B[1],$=t(B[5]),T=t(d[2]),N=[0,t(d[1]),T],F=f(m),U=f(_),G=f(h),P=f(x),K=f(y),O=f(w),M=[0,q,f(g),O,K,P,G,U,F,N],R=v(I),V=GY(o,E);k=[2,jY((function(r){return GY(A,r)}),D),V,R,M,$]}return[0,k,j]}function N0e(r){var n=r[2],t=r[1];if(n[1])throw vV([0,NC,LAn],1);var e=[0,n[1],n[2],n[3],n[4],0];switch(t[0]){case 0:throw vV([0,qC,VAn],1);case 1:var u=t[1],a=DJe(),f=MJe(a,u),i=[1,TW(PJe(a[1][1]),f)];break;default:var c=t[4],o=t[5],v=c[9],A=c[8],s=c[7],b=c[6],l=c[5],B=c[4],j=c[3],k=c[2],p=c[1],d=t[3],m=t[2],_=t[1],h=DJe(),x=MJe(h,m),y=KJe(h,k),w=KJe(h,j),g=KJe(h,B),q=KJe(h,l),I=KJe(h,b),E=KJe(h,s),D=KJe(h,A);i=[2,_,TW(PJe(h[1][1]),x),d,[0,p,y,w,g,q,I,E,D,v],o]}return[0,i,e]}function F0e(r){var n=r[2],t=r[1],e=tWe[1],u=[0,n[1],n[2],0,n[4],n[5]];switch(t[0]){case 0:throw vV([0,qC,Fsn],1);case 1:var a=t[1];if(oSe(BSe,a))var f=WJe(vS),i=tWe[4].call(null,1,[0,f],e),c=tWe[4].call(null,2,[0,[0,Usn,$Ze]],i),o=mSe(Gsn,_S),v=YJe(vS,(function(r){return uZe(0)})),A=[0,dZe(bWe(c,a,uZe(0),v)),0],s=[1,[0,qZe(f,o,ESe(zSe())),A]];else s=[1,oWe(e,a)];break;default:var b=t[4],l=t[5],B=b[9],j=b[7],k=b[6],p=b[5],d=b[4],m=b[3],_=b[2],h=b[1],x=t[3],y=t[2],w=t[1],g=iWe(tWe[1],b[8]),q=xWe(tWe[1],j),I=iWe(tWe[1],k),E=tWe[1],D=uZe(0),$=hWe(E,p,RSe([0,dZe(qSe(Osn,[0,[0,dpe,[2,[5,Qqe[3]]],[0,lS,nJ[2],nJ[3],nJ[4]]],0])),0],D)),T=xWe(tWe[1],d),N=iWe(tWe[1],m),F=[0,h,iWe(tWe[1],_),N,T,$,I,q,g,B];s=[2,w,oWe(e,y),x,F,l]}return[0,s,u]}function U0e(r){var n=[0,yWe[1]];function t(r){if("number"==typeof r)switch(r){case 0:return 0;case 1:return 1;default:return 2}switch(r[0]){case 1:var n=r[1],i=GY(t,r[2]);return[1,u(n),i];case 3:var c=r[2],o=r[1],v=GY(f,r[3]);return[3,o,GY(a,c),v];case 4:return[4,GY(a,r[1])];case 5:return[5,t(r[1])];case 6:return[6,t(r[1])];case 7:return[7,GY(t,r[1])];case 8:var A=r[2],s=r[5],b=r[4],l=r[3],B=r[1],j=1===A?2:A,k=GY(t,s),p=GY(t,b);return[8,B,j,GY(e,l),p,k];case 9:return r[1]?[8,0,0,0,[0,DWe(EWe,t(r[3])),[0,$We,[0,$Ze,0]]],0]:TWe(EWe,t(r[3]));case 10:return[10,t(r[1])];case 11:throw vV([0,NC,Ssn],1);case 12:return[12,t(r[1])];default:return r}}function e(r){var n=t(r[3]);return[0,r[1],r[2],n]}function u(r){var u=fhe(r);if(0===u[0]&&!u[1]){var a=u[2];if("number"!=typeof a&&2===a[0])return r}var f=yWe[29].call(null,r,n[1]);if(f)return f[1];var i=ahe(r,Zsn);n[1]=yWe[4].call(null,r,i,n[1]);var c=fhe(r);if(0===c[0])var o=c[1],v=t(c[2]),A=[0,GY(e,o),v];else{var s=c[1],b=t(c[2]);A=[1,GY(e,s),b]}return $he(i,A),i}function a(r){var n=r[3];return[0,r[1],t(r[2]),n]}function f(r){var n=r[3];return[0,r[1],u(r[2]),n]}function i(r){var n=nJ[4],e=nJ[3],u=r[3][2],a=[0,t(r[3][1]),u,e,n],f=c(r);return[0,r[1],f,a]}function c(r){var n=r[2];switch(n[0]){case 0:var e=n[1],u=e[1];if("number"!=typeof u)switch(u[0]){case 0:var a=e[2];if(a){var f=a[2];if(f&&!f[2]){var c=a[1],B=u[1],j=f[1],k=vSe(c);if("number"!=typeof k&&8===k[0]&&k[1]&&1===k[2])var p=1;else p=0;if(p){var d=vSe(c);if("number"!=typeof d&&8===d[0]&&d[1]&&1===d[2]){var m=d[4],_=GY((function(r){return t(nxe(B,r))}),d[5]),h=GY((function(r){return t(nxe(B,r))}),m),x=i(c),y=i(j),w=UWe(_),g=w[1],q=g[4],I=g[3],E=g[2],D=g[1],$=w[2],T=gSe(D),N=GWe(x,(function(r){function n(n){var t=gSe(q),e=gSe(I),u=gSe(E),a=[0,r,[0,NZe(GY(gSe,n)),[0,u,[0,e,[0,t,0]]]]],f=oSe(ASe,a);return[0,dZe([0,dpe,[0,[0,28,a]],[0,vS,f,nJ[3],nJ[4]]]),0]}if(!h){var t=n(0);return[0,dZe(y),t]}if(h[2]){var e=_Se(wbn,h),u=ySe(GY(xSe,e)),a=n(e);return[0,jZe(u,y),a]}var f=mSe(gbn,h[1]),i=xSe(f),c=n([0,f,0]);return[0,jZe(i,y),c]})),F=[0,xSe(q),0],U=[0,xSe(I),F],G=[0,xSe(E),U];return RSe([0,jZe(ySe([0,xSe(D),G]),$),N],T)[2]}throw vV([0,NC,Ysn],1)}}}break;case 20:if(u[1]===DA){var P=e[2];if(P){var K=P[2];if(K){var O=K[2];if(O&&!O[2]){var M=O[1],R=K[1],V=i(P[1]),L=i(R),H=i(M),Q=UWe([0,kS,0]),C=Q[1],S=C[4],Z=C[3],z=C[2],X=C[1],J=Q[2],W=gSe(X),Y=GWe(V,(function(r){return GWe(L,(function(n){return GWe(H,(function(t){var e=gSe(S),u=gSe(Z),a=[0,r,[0,n,[0,t,[0,gSe(z),[0,u,[0,e,0]]]]]],f=oSe(ASe,a);return[0,dZe([0,dpe,[0,[0,29,a]],[0,vS,f,nJ[3],nJ[4]]]),0]}))}))})),rr=[0,xSe(S),0],nr=[0,xSe(Z),rr],tr=[0,xSe(z),nr];return RSe([0,jZe(ySe([0,xSe(X),tr]),J),Y],W)[2]}}}}break;case 21:var er=u[1];if(er){var ur=e[2];if(ur){var ar=ur[2];if(ar&&!ar[2]){var fr=u[2],ir=ar[1],cr=ur[1],or=er[1];if("number"!=typeof fr&&8===fr[0]&&!fr[3]&&!fr[5]){var vr=function(r){var n=mSe(Xsn,zsn);if(or)var t=aZe(),e=PZe(gSe(n),t);else{var u=mSe("call",vS),a=VZe(gSe(u),(function(n){return PZe(GSe(gSe(r),1),n)})),f=aZe(),c=UZe(0,PZe(GSe(gSe(r),2),f)),o=GSe(gSe(r),1),v=gSe(n);e=mZe(u,wWe(0,FSe(0,aZe()),v,o,c),a)}var A=[0,[0,Jsn,xSe(n),e],0],s=[0,[0,Wsn,wSe,aZe()],A],b=gSe(r);return eZe(PZe(i(cr),b),s,vS)},Ar=i(ir),sr=Ar[2];if(1!==sr[0]||sr[1]){var br=mSe(ybn,vSe(Ar)),lr=vr(br);Br=RSe([0,kZe(br,Ar),0],lr)}else var Br=vr([0,sr[2],vSe(Ar)]);return Br[2]}throw vV([0,NC,rbn],1)}}}else{var jr=e[2];if(jr){var kr=jr[2];if(kr&&!kr[2]){var pr=u[2],dr=kr[1],mr=jr[1];if("number"!=typeof pr&&8===pr[0]&&!pr[3]&&!pr[5]){var _r=i(dr);return PZe(i(mr),_r)[2]}throw vV([0,NC,nbn],1)}}}break;case 22:if(u[1]){var hr=e[2];if(hr&&!hr[2]){var xr=hr[1],yr=u[2],wr=t(yr),gr=vSe(xr);if("number"!=typeof gr&&8===gr[0]){var qr=gr[3];if(qr&&!qr[2]){var Ir=gr[4];if(Ir){var Er=Ir[2];if(Er){var Dr=Er[2];if(Dr&&!Dr[2]){var $r=Er[1],Tr=Ir[1],Nr=t(nxe([0,yr,0],Dr[1])),Fr=t(nxe([0,yr,0],$r)),Ur=t(nxe([0,yr,0],Tr)),Gr=mSe(tbn,Nr),Pr=mSe(ebn,Fr),Kr=mSe(ubn,Ur),Or=uZe(GY(gSe,[0,Kr,[0,Pr,[0,Gr,0]]]));return UZe([0,Kr,[0,Pr,[0,Gr,0]]],SSe(i(xr),[0,wr,0],Or))[2]}}}}}throw vV([0,NC,abn],1)}}else{var Mr=e[2];if(Mr&&!Mr[2]){var Rr=Mr[1],Vr=u[2],Lr=t(Vr),Hr=vSe(Rr);r:if("number"!=typeof Hr&&8===Hr[0]){var Qr=Hr[3];if(Qr&&!Qr[2]){var Cr=Hr[4];if(Cr){var 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hf=f[1],xf=a[1],yf=mru(r,n,hf),wf=yf[2],gf=yf[1];if("number"!=typeof gf&&2===gf[0]){var qf=gf[1];if("number"!=typeof qf&&2===qf[0])return[0,[2,WY(xf,qf[1])],wf]}var If=M4e(r,hf[3][1],xf),Ef=q7e(r,gf,0),Df=function(r,n,t){return xYe(Ef,If,r,n,t)};return[0,0,function(r,n,t){return xYe(wf,Df,r,n,t)}];case 7:if(!f)break r;if(f[2])break r;var $f=f[1],Tf=V5e(r,a[1]),Ff=xru(r,n,$f);return[0,0,function(r,n,t){return xYe(Ff,Tf,r,n,t)}];case 8:var Uf=a[1],Gf=GY((function(t){return xru(r,n,t)}),f);return[0,0,A5e(r,1===Uf?1:0,Gf)];case 9:if(!f)break r;if(f[2])break r;var Pf=a[1],Kf=f[1],Of=E7e[29].call(null,Pf,n[3]);if(!Of)throw vV([0,VYe,jC(F3(qPn),Pf)],1);var Mf=Of[1],Rf=function(r,n,t){return UYe(Mf,r,n,t)},Vf=xru(r,n,Kf);return[0,3,function(r,n,t){return xYe(Vf,Rf,r,n,t)}];case 12:if(!f)break r;if(f[2])break r;var Lf=f[1],Hf=a[1],Qf=b2e(0,r,yYn,xYn,hYn,(function(r,n,t){var e=W1e(r,_Yn),u=e[2],a=e[1],f=y2e();function i(r,n,t){return xYe(f,u,r,n,t)}function c(r,n,e){return 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u=h1e(r,qBn);function a(r,n,t){return xYe(u,e,r,n,t)}var f=v4e(r,64);function i(r,n,t){return xYe(f,a,r,n,t)}return function(r,t,e){return xYe(n,i,r,t,e)}})),Pi=xru(r,n,_i);return[0,wjn,function(r,n,t){return xYe(Pi,Gi,r,n,t)}];case 4:var Ki=W1e(r,gjn),Oi=Ki[2],Mi=Ki[1],Ri=s1e(r)(Ijn,qjn),Vi=function(r,n,t){return yYe(Ejn,0,n,t)},Li=a3e(0,0,7),Hi=function(r,n,t){return xYe(Li,Vi,r,n,t)},Qi=J2e(r,Djn,(function(r,n,t){return xYe(Oi,Hi,r,n,t)}),(function(r,n,t){return xYe(Oi,Ri,r,n,t)})),Ci=function(r,n,t){return xYe(Oi,Qi,r,n,t)},Si=function(r,n,t){return xYe(Mi,Ci,r,n,t)},Zi=xru(r,n,_i);return[0,1,function(r,n,t){return xYe(Zi,Si,r,n,t)}];case 0:case 1:case 2:var zi=s2e(1,r,OYe(hi,Njn),Tjn,$jn,(function(r,n){var t=n6e(hi),e=B4e(r);function u(r,n,u){return xYe(e,t,r,n,u)}function a(r,t,e){return xYe(n,u,r,t,e)}var f=h1e(r,gBn);function i(r,n,t){return xYe(f,a,r,n,t)}var c=v4e(r,S3e(hi));function o(r,n,t){return xYe(c,i,r,n,t)}return function(r,t,e){return 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yYe(Rjn,0,n,t)},Ac=_ru(r,n,1,_i);return[0,2,function(r,n,t){return xYe(Ac,vc,r,n,t)}];default:break n}case 13:if(12!==hi)break n;var sc=function(r,n,t){return yYe(Vjn,0,n,t)},bc=_ru(r,n,2,_i);return[0,1,function(r,n,t){return xYe(bc,sc,r,n,t)}];default:break n}var lc=S3e(hi),Bc=W1e(r,Cjn),jc=Bc[2],kc=Bc[1],dc=M1e(L1e,mH(lc)),mc=function(r,n,t){return xYe(jc,dc,r,n,t)},_c=h1e(r,Sjn),hc=function(r,n,t){return xYe(_c,mc,r,n,t)},xc=kru(r)([2,xi]),yc=function(r,n,t){return xYe(xc,hc,r,n,t)},wc=function(r,n,t){return xYe(jc,yc,r,n,t)},gc=M1e(V1e,mH(lc)),qc=function(r,n,t){return xYe(gc,wc,r,n,t)},Ec=M1e(L1e,mH(lc)),Dc=function(r,n,t){return xYe(Ec,qc,r,n,t)},$c=function(r,n,t){return xYe(jc,Dc,r,n,t)},Tc=function(r,n,t){return xYe(kc,$c,r,n,t)},Nc=_ru(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return xYe(Nc,Tc,r,n,t)}]}if(7!==hi)break n;var Fc=z3e(xi),Uc=s4e(r),Gc=M1e(V1e,Fc),Pc=function(r,n,t){return xYe(Gc,Uc,r,n,t)},Kc=_ru(r,n,[1,xi],_i);return[0,0,function(r,n,t){return xYe(Kc,Pc,r,n,t)}]}var Oc=n6e(hi),Mc=r6e(xi),Rc=function(r,n,t){return xYe(Mc,Oc,r,n,t)},Vc=_ru(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return xYe(Vc,Rc,r,n,t)}]}var Lc=S3e(hi),Hc=W1e(r,Hjn),Qc=Hc[2],Sc=Hc[1],Zc=M1e(L1e,mH(Lc)),zc=function(r,n,t){return xYe(Qc,Zc,r,n,t)},Xc=_1e(r,Qjn),Jc=function(r,n,t){return xYe(Xc,zc,r,n,t)},Wc=M1e(R1e,mH(64-Lc|0)),Yc=function(r,n,t){return xYe(Wc,Jc,r,n,t)},ro=function(r,n,t){return xYe(Qc,Yc,r,n,t)},no=function(r,n,t){return xYe(Sc,ro,r,n,t)},to=_ru(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return xYe(to,no,r,n,t)}]}if(2!==hi)break n;var eo=z3e(xi),uo=b4e(r),ao=M1e(R1e,eo),fo=function(r,n,t){return xYe(ao,uo,r,n,t)},io=_ru(r,n,[1,xi],_i);return[0,0,function(r,n,t){return xYe(io,fo,r,n,t)}]}var co=n6e(hi),oo=r6e(xi),vo=function(r,n,t){return xYe(oo,co,r,n,t)},Ao=_ru(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return xYe(Ao,vo,r,n,t)}]}return[0,3,X1e(r,Ljn,Dze(a))];case 16:if(!f)break r;if(f[2])break r;var so=f[1],lo=a[2],jo=a[1];n:{t:{e:{switch(jo){case 3:if(8===lo)break n;break t;case 4:if(9===lo)break n;break t;case 5:if(10===lo)break e;break t;case 6:if(11!==lo)break t;break;case 8:if(3===lo)break n;break t;case 9:if(4===lo)break n;break t;case 10:if(5===lo)break e;break t;case 11:if(6!==lo)break t;break;case 14:if(5!==lo)break t;var ko=n6e(5),po=i6e(),mo=function(r,n,t){return xYe(po,ko,r,n,t)},_o=_ru(r,n,[1,jo],so);return[0,Zjn,function(r,n,t){return xYe(_o,mo,r,n,t)}];case 2:case 7:switch(lo){case 6:case 11:var ho=l4e(r),xo=xru(r,n,so);return[0,[1,lo],function(r,n,t){return xYe(xo,ho,r,n,t)}];case 3:case 4:case 5:case 8:case 9:case 10:var yo=M1e(L1e,z3e(lo)),wo=l4e(r),go=function(r,n,t){return xYe(wo,yo,r,n,t)},qo=xru(r,n,so);return[0,[1,lo],function(r,n,t){return xYe(qo,go,r,n,t)}];default:break t}default:break t}return[0,[1,lo],_ru(r,n,[1,jo],so)]}return[0,[1,lo],_ru(r,n,[1,jo],so)]}return[0,3,X1e(r,zjn,Dze(a))]}return[0,[1,lo],_ru(r,n,[1,jo],so)];case 17:if(!f)break r;if(f[2])break r;return mru(r,n,f[1]);case 18:if(!f)break r;if(f[2])break r;var Io=f[1],Eo=W1e(r,Xjn),Do=Eo[2],$o=Eo[1],To=I4e(r,0,3),No=function(r,n,t){return xYe(Do,To,r,n,t)},Fo=h1e(r,Jjn),Uo=function(r,n,t){return xYe(Fo,No,r,n,t)},Go=T1e(7),Po=function(r,n,t){return xYe(Go,Uo,r,n,t)},Ko=G1e(Wjn),Mo=function(r,n,t){return xYe(Ko,Po,r,n,t)},Vo=m4e(),Lo=function(r,n,t){return xYe(Vo,Mo,r,n,t)},Ho=function(r,n,t){return xYe(Do,Lo,r,n,t)},Qo=function(r,n,t){return xYe($o,Ho,r,n,t)},Co=xru(r,n,Io);return[0,0,function(r,n,t){return xYe(Co,Qo,r,n,t)}];case 19:if(f)break r;return[0,0,P5e(r)];case 20:var So=a[1],Zo=dL(So,IE);if(0<=Zo){if(0>=Zo){if(!f)break r;if(f[2])break r;return[0,0,m1e(r,lmn)]}var zo=dL(So,ch);if(0<=zo){if(0>=zo){if(f)break r;var Xo=b4e(r),Wo=p2e(r);return[0,0,function(r,n,t){return xYe(Wo,Xo,r,n,t)}]}var Yo=dL(So,df);n:{if(0>Yo){var rv=dL(So,Wm);if(0>rv){var nv=dL(So,wu);if(0<=nv){if(0>=nv){if(f)break r;var tv=b4e(r),ev=s1e(r)(g8n,w8n);return[0,0,function(r,n,t){return xYe(ev,tv,r,n,t)}]}if(So===p){if(f)break r;var uv=b4e(r),av=Z5e(r);return[0,0,function(r,n,t){return xYe(av,uv,r,n,t)}]}if(So===Yg){if(f)break r;var fv=b4e(r),iv=s1e(r)(I8n,q8n);return[0,0,function(r,n,t){return xYe(iv,fv,r,n,t)}]}if(So===fG){if(f)break r;var cv=b4e(r),ov=k7e(r);return[0,0,function(r,n,t){return xYe(ov,cv,r,n,t)}]}if(So!==Qq){if(So!==tq)break r;if(!f)break r;var vv=f[2];if(!vv)break r;var Av=vv[2];if(!Av)break r;if(Av[2])break r;var sv=Av[1],lv=vv[1],Bv=f[1],jv=[12,[0,ose,e1e(r,QUn)]],kv=function(r,n,t){return yYe(jv,0,n,t)},pv=r6e(5),dv=function(r,n,t){return xYe(pv,kv,r,n,t)},mv=_ru(r,n,Hdn,sv),_v=function(r,n,t){return xYe(mv,dv,r,n,t)},hv=h1e(r,Qdn),xv=j8e(r),yv=[12,[0,ose,e1e(r,SUn)]],wv=function(r,n,t){return xYe(hv,_v,r,n,t)},gv=function(r,n,t){return yYe(yv,0,n,xYe(xv,wv,r,n,t))},qv=r6e(5),Iv=_ru(r,n,Cdn,lv),Ev=[12,[0,ose,e1e(r,zUn)]],Dv=function(r,n,t){return xYe(qv,gv,r,n,t)},$v=function(r,n,t){return yYe(Ev,0,n,xYe(Iv,Dv,r,n,t))},Tv=r6e(5),Nv=function(r,n,t){return xYe(Tv,$v,r,n,t)},Fv=_ru(r,n,Sdn,Bv);return[0,TJ,function(r,n,t){return xYe(Fv,Nv,r,n,t)}]}if(f)break r;return[0,0,s1e(r)(zdn,Zdn)]}if(So===HI){if(f)break r;var Uv=b4e(r),Pv=n7e(r);return[0,0,function(r,n,t){return xYe(Pv,Uv,r,n,t)}]}if(So===v){if(f)break r;var Kv=b4e(r),Ov=s1e(r)(y8n,x8n);return[0,0,function(r,n,t){return xYe(Ov,Kv,r,n,t)}]}if(So===gw){if(f)break r;var Mv=b4e(r),Rv=G1e(mH(Uj));return[0,0,function(r,n,t){return xYe(Rv,Mv,r,n,t)}]}if(So!==nA){if(So!==GA)break r;if(f)break r;var Vv=b4e(r),Lv=j2e(r);return[0,0,function(r,n,t){return xYe(Lv,Vv,r,n,t)}]}if(f)break r;var Hv=b4e(r);return[0,0,function(r,n,t){return yYe(5,0,n,Q2e(r,n,Hv(r,n,t)))}]}if(0>=rv){if(!f)break r;var Qv=f[2];if(!Qv)break r;if(Qv[2])break r;var Cv=Qv[1],Sv=f[1],Zv=[12,[0,ose,e1e(r,TUn)]],zv=function(r,n,t){return yYe(Zv,0,n,t)},Xv=r6e(5),Jv=_ru(r,n,emn,Cv),Wv=[12,[0,ose,e1e(r,FUn)]],Yv=function(r,n,t){return xYe(Xv,zv,r,n,t)},rA=function(r,n,t){return yYe(Wv,0,n,xYe(Jv,Yv,r,n,t))},tA=r6e(5),eA=function(r,n,t){return xYe(tA,rA,r,n,t)},uA=_ru(r,n,umn,Sv);return[0,TJ,function(r,n,t){return xYe(uA,eA,r,n,t)}]}var aA=dL(So,f$);t:{if(0<=aA){e:if(0=XA){if(f)break r;var JA=V5e(r,yS),YA=P5e(r);return[0,0,function(r,n,t){return xYe(YA,JA,r,n,t)}]}var rs=dL(So,Bo);if(0<=rs){if(0>=rs){if(!f)break r;if(f[2])break r;var ns=f[1],es=s1e(r)(AJn,vJn),us=xru(r,n,ns);return[0,0,function(r,n,t){return xYe(us,es,r,n,t)}]}if(So===lm){if(!f)break r;if(f[2])break r;var as=f[1],fs=s1e(r)(oJn,cJn),is=xru(r,n,as);return[0,0,function(r,n,t){return xYe(is,fs,r,n,t)}]}if(So===tk){if(!f)break r;if(f[2])break r;var os=f[1],vs=F5e(r),As=w4e(r),ss=function(r,n,t){return xYe(As,vs,r,n,t)},bs=u5e(r),ls=function(r,n,t){return xYe(bs,ss,r,n,t)},Bs=xru(r,n,os);return[0,3,function(r,n,t){return xYe(Bs,ls,r,n,t)}]}if(So!==tn){if(So!==OF)break r;if(!f)break r;if(f[2])break r;var js=f[1],ks=s1e(r)(bmn,smn),ps=function(r,n,t){return xYe(ks,S2e,r,n,t)},ds=xru(r,n,js);return[0,0,function(r,n,t){return xYe(ds,ps,r,n,t)}]}if(!f)break r;if(f[2])break r;var ms=f[1],_s=D3e(),hs=xru(r,n,ms);return[0,0,function(r,n,t){return xYe(hs,_s,r,n,t)}]}if(So===bf){if(!f)break r;var xs=f[2];if(!xs)break r;if(xs[2])break r;var ys=xs[1],ws=f[1],gs=n6e(8),qs=s1e(r)(vmn,omn),Is=function(r,n,t){return xYe(qs,gs,r,n,t)},Es=xru(r,n,ys),Ds=function(r,n,t){return xYe(Es,Is,r,n,t)},$s=xru(r,n,ws);return[0,Amn,function(r,n,t){return xYe($s,Ds,r,n,t)}]}if(So===G){if(!f)break r;if(f[2])break r;var Ts=f[1],Ns=s1e(r)(uJn,eJn),Fs=xru(r,n,Ts);return[0,0,function(r,n,t){return xYe(Fs,Ns,r,n,t)}]}if(So===xO){if(!f)break r;if(f[2])break r;var Us=f[1],Gs=s1e(r)(tJn,nJn),Ps=xru(r,n,Us);return[0,0,function(r,n,t){return xYe(Ps,Gs,r,n,t)}]}if(So!==XP){if(So!==ag)break r;if(!f)break r;if(f[2])break r;var Ks=f[1],Ms=s2e(1,r,_Jn,mJn,dJn,(function(r,n){var t=b4e(r),e=s1e(r)(pJn,kJn);function u(r,n,u){return xYe(e,t,r,n,u)}return function(r,t,e){return xYe(n,u,r,t,e)}})),Rs=xru(r,n,Ks);return[0,0,function(r,n,t){return xYe(Rs,Ms,r,n,t)}]}if(!f)break r;if(f[2])break r;var Vs=f[1],Hs=function(r,n,t){return xYe(S2e,c6e,r,n,t)},Qs=s1e(r)(rJn,YXn),Cs=function(r,n,t){return xYe(Qs,Hs,r,n,t)},Ss=xru(r,n,Vs);return[0,cmn,function(r,n,t){return xYe(Ss,Cs,r,n,t)}]}var Zs=dL(So,Tn);t:{e:{if(0<=Zs){u:if(0cl){var ol=dL(So,uE);if(0<=ol){if(0>=ol)return i(0,I4e(r,3,2));var vl=dL(So,gK);if(0<=vl){if(0>=vl){if(!f)break r;var Al=f[2];if(!Al)break r;if(Al[2])break r;var sl=Al[1],bl=f[1],ll=n5e(r),Bl=_ru(r,n,Kdn,sl),jl=function(r,n,t){return xYe(Bl,ll,r,n,t)},kl=_ru(r,n,0,bl);return[0,1,function(r,n,t){return xYe(kl,jl,r,n,t)}]}if(So!==x$){if(So===br)break e;if(So===ar)break t;if(So===NK)break n;if(So!==Sj)break r}if(!f)break r;var pl=f[2];if(!pl)break r;if(pl[2])break r;var dl=pl[1],ml=f[1],_l=So===Sj?4:9,hl=n6e(_l),yl=[21,[1,4===_l?1:0]],wl=function(r,n,t){return yYe(yl,0,n,hl(r,n,t))},gl=z4e(r),ql=function(r,n,t){return xYe(gl,wl,r,n,t)},Il=_ru(r,n,Kmn,dl),El=function(r,n,t){return xYe(Il,ql,r,n,t)},Dl=_ru(r,n,0,ml);return[0,[1,_l],function(r,n,t){return xYe(Dl,El,r,n,t)}]}if(So===Aq)return i(0,I4e(r,0,2));if(So===Ad){if(!f)break r;if(f[2])break r;var $l=f[1],Nl=s2e(1,r,HQn,LQn,0,(function(r,n){var t=W1e(r,VQn),e=t[2],u=t[1],a=N5e(r),f=m4e();function i(r,n,t){return xYe(f,a,r,n,t)}function c(r,n,t){return xYe(e,i,r,n,t)}var o=h4e();function v(r,n,t){return xYe(o,c,r,n,t)}function A(r,n,t){return xYe(e,v,r,n,t)}function s(r,n,t){return xYe(u,A,r,n,t)}var b=u5e(r);function l(r,n,t){return xYe(b,s,r,n,t)}return function(r,t,e){return xYe(n,l,r,t,e)}})),Ul=xru(r,n,$l);return[0,TJ,function(r,n,t){return xYe(Ul,Nl,r,n,t)}]}if(So===zI){if(!f)break r;var Gl=f[2];if(!Gl)break r;if(Gl[2])break r;var Pl=Gl[1],Kl=f[1],Ol=H4e(r),Ml=_ru(r,n,Gdn,Pl),Rl=function(r,n,t){return xYe(Ml,Ol,r,n,t)},Vl=_ru(r,n,0,Kl);return[0,Pdn,function(r,n,t){return xYe(Vl,Rl,r,n,t)}]}if(So!==My){if(So!==NI)break r;if(!f)break r;var Hl=f[2];if(!Hl)break r;var Ql=Hl[2];if(!Ql)break r;if(Ql[2])break r;var Cl=Ql[1],Sl=Hl[1],Zl=f[1],zl=Q4e(r),Xl=k4e(r,y4e(r,1,Fdn)),Jl=function(r,n,t){return xYe(Xl,zl,r,n,t)},Wl=_ru(r,n,0,Cl),Yl=function(r,n,t){return xYe(Wl,Jl,r,n,t)},rB=_ru(r,n,Udn,Sl),nB=function(r,n,t){return xYe(rB,Yl,r,n,t)},tB=_ru(r,n,0,Zl);return[0,0,function(r,n,t){return xYe(tB,nB,r,n,t)}]}if(!f)break r;if(f[2])break r;var eB=f[1],uB=b4e(r),aB=R4e(r),fB=function(r,n,t){return xYe(aB,uB,r,n,t)},iB=_ru(r,n,0,eB);return[0,0,function(r,n,t){return xYe(iB,fB,r,n,t)}]}var cB=dL(So,DM);if(0<=cB){if(0>=cB){if(!f)break r;if(f[2])break r;var oB=function(r,n,t){return yYe($dn,0,n,t)},vB=_ru(r,n,Tdn,f[1]);return[0,Ndn,function(r,n,t){return xYe(vB,oB,r,n,t)}]}if(So===D_){if(!f)break r;if(f[2])break r;var AB=f[1],sB=n6e(3),bB=function(r,n,t){return yYe(Idn,0,n,sB(r,n,t))},lB=_ru(r,n,Edn,AB);return[0,Ddn,function(r,n,t){return xYe(lB,bB,r,n,t)}]}if(So===WO){if(!f)break r;if(f[2])break r;var BB=f[1],pB=n6e(9),dB=function(r,n,t){return yYe(wdn,0,n,pB(r,n,t))},mB=_ru(r,n,gdn,BB);return[0,qdn,function(r,n,t){return xYe(mB,dB,r,n,t)}]}if(So===HM){if(!f)break r;if(f[2])break r;var _B=f[1],hB=n6e(10),xB=function(r,n,t){return yYe(hdn,0,n,hB(r,n,t))},yB=_ru(r,n,xdn,_B);return[0,ydn,function(r,n,t){return xYe(yB,xB,r,n,t)}]}if(So!==Gv){if(So!==ct)break r;if(!f)break r;if(f[2])break r;var wB=f[1],gB=n6e(8),qB=function(r,n,t){return yYe(jdn,0,n,gB(r,n,t))},IB=_ru(r,n,kdn,wB);return[0,pdn,function(r,n,t){return xYe(IB,qB,r,n,t)}]}if(!f)break r;if(f[2])break r;var EB=function(r,n,t){return yYe(ddn,0,n,t)},DB=_ru(r,n,mdn,f[1]);return[0,_dn,function(r,n,t){return xYe(DB,EB,r,n,t)}]}if(So===Pw){if(!f)break r;if(f[2])break r;var $B=f[1],TB=W1e(r,Bdn),NB=TB[2],FB=TB[1],UB=T5e(r),GB=m4e(),PB=function(r,n,t){return xYe(GB,UB,r,n,t)},KB=function(r,n,t){return xYe(NB,PB,r,n,t)},OB=h4e(),MB=function(r,n,t){return xYe(OB,KB,r,n,t)},RB=function(r,n,t){return xYe(NB,MB,r,n,t)},VB=function(r,n,t){return xYe(FB,RB,r,n,t)},LB=xru(r,n,$B);return[0,0,function(r,n,t){return xYe(LB,VB,r,n,t)}]}if(So===Eg){if(!f)break r;var HB=f[2];if(!HB)break r;if(HB[2])break r;var QB=HB[1],CB=f[1],SB=e4e(r),ZB=_ru(r,n,ldn,QB),zB=function(r,n,t){return xYe(ZB,SB,r,n,t)},XB=xru(r,n,CB);return[0,0,function(r,n,t){return xYe(XB,zB,r,n,t)}]}if(So===mO){if(!f)break r;if(f[2])break r;var JB=f[1],WB=$5e(JQn,r),YB=function(r,n,t){return yYe(WQn,0,n,pC(WB,r,n,t))},rj=_ru(r,n,sdn,JB);return[0,bdn,function(r,n,t){return xYe(rj,YB,r,n,t)}]}if(So!==Vx){if(So!==Nd)break r;if(!f)break r;if(f[2])break r;var nj=f[1],tj=n6e(5),ej=function(r,n,t){return yYe(fdn,0,n,tj(r,n,t))},uj=_ru(r,n,idn,nj);return[0,cdn,function(r,n,t){return xYe(uj,ej,r,n,t)}]}if(!f)break r;if(f[2])break r;var aj=f[1],fj=n6e(4),ij=function(r,n,t){return yYe(odn,0,n,fj(r,n,t))},cj=_ru(r,n,vdn,aj);return[0,Adn,function(r,n,t){return xYe(cj,ij,r,n,t)}]}if(0oj){var vj=dL(So,pT);if(0<=vj){if(0>=vj){if(!f)break 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Mj=f[2];if(!Mj)break r;var Rj=Mj[2];if(!Rj)break r;if(Rj[2])break r;var Vj=Rj[1],Lj=Mj[1],Hj=f[1],Qj=C4e(r),Cj=_ru(r,n,0,Vj),Zj=function(r,n,t){return xYe(Cj,Qj,r,n,t)},zj=_ru(r,n,Odn,Lj),Xj=function(r,n,t){return xYe(zj,Zj,r,n,t)},Jj=_ru(r,n,0,Hj);return[0,TJ,function(r,n,t){return xYe(Jj,Xj,r,n,t)}]}if(!f)break r;if(f[2])break r;var Wj=f[1],Yj=L4e(r),rk=_ru(r,n,0,Wj);return[0,Mdn,function(r,n,t){return xYe(rk,Yj,r,n,t)}]}if(0=nk){if(f)break r;var ek=b4e(r),uk=R2e(r);return[0,0,function(r,n,t){return xYe(uk,ek,r,n,t)}]}if(So===hq){if(f)break r;var ak=b4e(r),fk=s1e(r)(I7n,q7n);return[0,0,function(r,n,t){return xYe(fk,ak,r,n,t)}]}if(So===Ls){if(f)break r;var ik=b4e(r),ck=k2e(r);return[0,0,function(r,n,t){return xYe(ck,ik,r,n,t)}]}if(So!==UK){if(So!==Ro)break r;if(f)break r;if(!vAe[1])throw vV([0,NC,Ldn],1);var ok=Z5e(r),vk=function(r,n,t){return xYe(ok,X2e,r,n,t)},Ak=h1e(r,hqn),sk=function(r,n,t){return xYe(Ak,vk,r,n,t)},lk=o9e(r),Bk=k1e(1,L2e(1),(function(r,n,t){return xYe(lk,sk,r,n,t)})),jk=v9e(r),kk=s1e(r)(rDn,YEn),pk=k1e(1,(function(r,n,t){return xYe(kk,S2e,r,n,t)}),(function(r,n,t){return xYe(jk,Bk,r,n,t)})),dk=A9e(r);return[0,0,function(r,n,t){return xYe(dk,pk,r,n,t)}]}if(f)break r;var mk=b4e(r),_k=s1e(r)(l8n,b8n);return[0,0,function(r,n,t){return xYe(_k,mk,r,n,t)}]}if(So===c$)break a;if(So===Fx)break u;if(So===mA){if(f)break r;var xk=function(r,n,t){return yYe(SQn,0,n,t)},yk=$5e(ZQn,r);return[0,0,function(r,n,t){return xYe(yk,xk,r,n,t)}]}if(So!==IA){if(So!==mT)break r;if(!f)break r;var wk=f[2];if(!wk)break r;if(wk[2])break r;var gk=wk[1],qk=f[1],Ik=u4e(r),Dk=_ru(r,n,Vdn,gk),$k=function(r,n,t){return xYe(Dk,Ik,r,n,t)},Tk=xru(r,n,qk);return[0,0,function(r,n,t){return xYe(Tk,$k,r,n,t)}]}if(f)break r;var Nk=1>>0?m1e(r,HHn):A2e(1,r,QHn,[0,1,0],(function(r){return E4e(r,3,(function(r){return D5e(r,RHn)}),(function(r){return D5e(r,VHn)}),(function(r){return G1e(LHn)}))}));return[0,0,Nk]}}if(!f)break r;var Fk=f[2];if(!Fk)break r;var Uk=Fk[2];if(!Uk)break r;if(Uk[2])break r;var Gk=Uk[1],Pk=Fk[1],Ok=f[1],Mk=So===Ic?5:10,Rk=W4e(r),Vk=function(r,n,t){return yYe(Vmn,0,n,Rk(r,n,t))},Lk=r6e(Mk),Hk=function(r,n,t){return xYe(Lk,Vk,r,n,t)},Qk=_ru(r,n,[1,Mk],Gk),Ck=function(r,n,t){return xYe(Qk,Hk,r,n,t)},Sk=_ru(r,n,Lmn,Pk),Xk=function(r,n,t){return xYe(Sk,Ck,r,n,t)},Jk=_ru(r,n,0,Ok);return[0,TJ,function(r,n,t){return xYe(Jk,Xk,r,n,t)}]}if(!f)break r;var Wk=f[2];if(!Wk)break r;var Yk=Wk[2];if(!Yk)break r;if(Yk[2])break r;var rp=Yk[1],np=Wk[1],tp=f[1],up=So===c$?6:11,fp=r5e(r),ip=_ru(r,n,[1,up],rp),cp=function(r,n,t){return xYe(ip,fp,r,n,t)},op=_ru(r,n,Qmn,np),vp=function(r,n,t){return xYe(op,cp,r,n,t)},Ap=_ru(r,n,0,tp);return[0,TJ,function(r,n,t){return xYe(Ap,vp,r,n,t)}]}if(!f)break r;var bp=f[2];if(!bp)break r;var lp=bp[2];if(!lp)break r;if(lp[2])break r;var Bp=lp[1],jp=bp[1],kp=f[1],pp=So===Fx?3:8,dp=Z4e(r),mp=function(r,n,t){return yYe(Gmn,0,n,dp(r,n,t))},_p=r6e(pp),hp=function(r,n,t){return xYe(_p,mp,r,n,t)},xp=_ru(r,n,[1,pp],Bp),yp=function(r,n,t){return xYe(xp,hp,r,n,t)},wp=_ru(r,n,Pmn,jp),gp=function(r,n,t){return xYe(wp,yp,r,n,t)},qp=_ru(r,n,0,kp);return[0,TJ,function(r,n,t){return xYe(qp,gp,r,n,t)}]}}if(!f)break r;var Ip=f[2];if(!Ip)break r;if(Ip[2])break r;var Ep=Ip[1],Dp=f[1],$p=So===Xm?5:10,Tp=n6e($p),Np=[21,[1,5===$p?1:0]],Fp=function(r,n,t){return yYe(Np,0,n,Tp(r,n,t))},Up=J4e(r),Pp=function(r,n,t){return xYe(Up,Fp,r,n,t)},Kp=_ru(r,n,Rmn,Ep),Op=function(r,n,t){return xYe(Kp,Pp,r,n,t)},Mp=_ru(r,n,0,Dp);return[0,[1,$p],function(r,n,t){return xYe(Mp,Op,r,n,t)}]}if(!f)break r;var Rp=f[2];if(!Rp)break r;if(Rp[2])break r;var Vp=Rp[1],Lp=f[1],Qp=So===sp?6:11,Cp=Y4e(r),Sp=_ru(r,n,Hmn,Vp),Zp=function(r,n,t){return xYe(Sp,Cp,r,n,t)},zp=_ru(r,n,0,Lp);return[0,[1,Qp],function(r,n,t){return xYe(zp,Zp,r,n,t)}]}if(!f)break r;var Xp=f[2];if(!Xp)break r;if(Xp[2])break r;var Jp=Xp[1],Wp=f[1],Yp=So===EU?3:8,rd=n6e(Yp),nd=[21,[1,3===Yp?1:0]],td=function(r,n,t){return yYe(nd,0,n,rd(r,n,t))},ed=S4e(r),ud=function(r,n,t){return xYe(ed,td,r,n,t)},ad=_ru(r,n,Umn,Jp),fd=function(r,n,t){return xYe(ad,ud,r,n,t)},id=_ru(r,n,0,Wp);return[0,[1,Yp],function(r,n,t){return xYe(id,fd,r,n,t)}]}var cd=dL(So,wr);if(0>cd){var od=dL(So,vh);if(0<=od){if(0>=od){if(!f)break r;var vd=f[2];if(!vd)break r;if(vd[2])break r;return i(Qkn,f6e(r,9))}var sd=dL(So,Yw);if(0<=sd){if(0>=sd){if(!f)break r;if(f[2])break r;return gru(r,n,f[1],Hkn)}var bd=dL(So,dd);if(0<=bd){if(0>=bd){if(!f)break r;if(f[2])break r;var ld=f[1],Bd=u6e(3),jd=_ru(r,n,Vkn,ld);return[0,Lkn,function(r,n,t){return xYe(jd,Bd,r,n,t)}]}if(So===nF){if(!f)break r;if(f[2])break r;var kd=f[1],pd=u6e(9),md=_ru(r,n,Mkn,kd);return[0,Rkn,function(r,n,t){return xYe(md,pd,r,n,t)}]}if(So===YG){if(!f)break r;if(f[2])break r;var _d=f[1],hd=u6e(10),xd=_ru(r,n,Kkn,_d);return[0,Okn,function(r,n,t){return xYe(xd,hd,r,n,t)}]}if(So!==Ud){if(So!==Ek)break r;if(!f)break r;if(f[2])break r;var yd=f[1],wd=u6e(8),gd=_ru(r,n,Nkn,yd);return[0,Fkn,function(r,n,t){return xYe(gd,wd,r,n,t)}]}if(!f)break r;if(f[2])break r;var qd=function(r,n,t){return yYe(Ukn,0,n,t)},Id=_ru(r,n,Gkn,f[1]);return[0,Pkn,function(r,n,t){return xYe(Id,qd,r,n,t)}]}if(So===CO){if(!f)break r;if(f[2])break r;return wru(r,n,f[1],Tkn)}if(So===Hm){if(!f)break r;if(f[2])break r;return wru(r,n,f[1],$kn)}if(So===_j){if(!f)break r;if(f[2])break r;var Ed=f[1],Dd=u6e(4),$d=_ru(r,n,Ekn,Ed);return[0,Dkn,function(r,n,t){return xYe($d,Dd,r,n,t)}]}if(So!==Py){if(So!==cs)break r;if(!f)break r;if(f[2])break r;var Td=function(r,n,t){return yYe(ykn,0,n,t)},Fd=_ru(r,n,wkn,f[1]);return[0,gkn,function(r,n,t){return xYe(Fd,Td,r,n,t)}]}if(!f)break r;if(f[2])break r;var Gd=f[1],Pd=u6e(5),Kd=_ru(r,n,qkn,Gd);return[0,Ikn,function(r,n,t){return xYe(Kd,Pd,r,n,t)}]}var Od=dL(So,db);if(0<=Od){if(0>=Od){if(f)break r;return[0,0,P5e(r)]}if(So===P){if(f)break r;var Md=1>>0?m1e(r,zHn):A2e(1,r,JHn,XHn,(function(r){return 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yYe(bpn,0,n,Ox(r,n,t))},Lx=s1e(r)(Bpn,lpn),Hx=function(r,n,t){return xYe(Lx,Rx,r,n,t)},Qx=xru(r,n,Px);return[0,jpn,function(r,n,t){return xYe(Qx,Hx,r,n,t)}]}if(So===jF){if(!f)break r;if(f[2])break r;var Cx=f[1],Sx=a6e(4),Zx=_ru(r,n,Apn,Cx);return[0,spn,function(r,n,t){return xYe(Zx,Sx,r,n,t)}]}if(So===Cq){if(!f)break r;if(f[2])break r;var zx=f[1],Xx=a6e(5),Jx=_ru(r,n,opn,zx);return[0,vpn,function(r,n,t){return xYe(Jx,Xx,r,n,t)}]}if(So===Nf){if(!f)break r;if(f[2])break r;var Wx=function(r,n,t){return yYe(fpn,0,n,t)},Yx=_ru(r,n,ipn,f[1]);return[0,cpn,function(r,n,t){return xYe(Yx,Wx,r,n,t)}]}if(So!==bo){if(So!==fU)break r;if(!f)break r;if(f[2])break r;var ry=f[1],ny=a6e(9),ty=_ru(r,n,tpn,ry);return[0,epn,function(r,n,t){return xYe(ty,ny,r,n,t)}]}if(!f)break r;if(f[2])break r;var ey=f[1],uy=a6e(3),ay=_ru(r,n,upn,ey);return[0,apn,function(r,n,t){return xYe(ay,uy,r,n,t)}]}if(So===LE){if(!f)break r;var fy=f[2];if(!fy)break r;if(fy[2])break r;var iy=fy[1],cy=f[1],oy=b2e(0,r,jqn,Bqn,[0,1,0],(function(r,n,t){return $2e(r,lqn,bqn,(function(e){var u=Q5e(r);function a(r,n,t){return xYe(e,u,r,n,t)}var f=$5e(sqn,r);function i(r,n,t){return xYe(f,a,r,n,t)}function c(r,n,t){return xYe(e,i,r,n,t)}function o(r,n,e){return xYe(t,c,r,n,e)}return function(r,t,e){return xYe(n,o,r,t,e)}}))})),vy=_ru(r,n,rpn,iy),Ay=function(r,n,t){return xYe(vy,oy,r,n,t)},sy=_ru(r,n,npn,cy);return[0,0,function(r,n,t){return xYe(sy,Ay,r,n,t)}]}if(So===xl){if(f)break r;return[0,0,A2e(0,r,Aqn,vqn,(function(r){return $2e(r,oqn,cqn,(function(n){var t=Q5e(r);function e(r,e,u){return xYe(n,t,r,e,u)}var u=$5e(iqn,r);function a(r,n,t){return xYe(u,e,r,n,t)}return function(r,t,e){return xYe(n,a,r,t,e)}}))}))]}if(So===pq){if(!f)break r;var by=f[2];if(!by)break r;if(by[2])break r;var ly=by[1],By=f[1],jy=b2e(0,r,fqn,aqn,[0,1,0],(function(r,n,t){return $2e(r,uqn,eqn,(function(e){var u=Q5e(r);function a(r,n,t){return xYe(e,u,r,n,t)}var f=$5e(tqn,r);function i(r,n,t){return xYe(f,a,r,n,t)}function c(r,n,t){return xYe(e,i,r,n,t)}function o(r,n,e){return xYe(t,c,r,n,e)}return function(r,t,e){return xYe(n,o,r,t,e)}}))})),ky=_ru(r,n,Wkn,ly),py=function(r,n,t){return xYe(ky,jy,r,n,t)},dy=_ru(r,n,Ykn,By);return[0,0,function(r,n,t){return xYe(dy,py,r,n,t)}]}if(So!==P$){if(So!==eU)break r;if(!f)break r;var my=f[2];if(!my)break r;if(my[2])break r;var _y=my[1],hy=f[1],xy=b2e(0,r,Cgn,[0,[0,Qgn,1],Hgn],[0,1,Lgn],(function(r,n,t){return $2e(r,Vgn,Rgn,(function(e){var u=Q5e(r);function a(r,n,t){return xYe(e,u,r,n,t)}var f=q7e(r,Kgn,0);function i(r,n,t){return xYe(f,a,r,n,t)}var c=n6e(5);function o(r,n,t){return yYe(Ogn,0,n,xYe(c,i,r,n,t))}var v=$5e(Mgn,r);function A(r,n,t){return xYe(v,o,r,n,t)}function s(r,n,t){return xYe(e,A,r,n,t)}function b(r,n,e){return xYe(t,s,r,n,e)}var l=w4e(r);function B(r,n,t){return xYe(l,b,r,n,t)}var j=u5e(r);function k(r,n,t){return xYe(j,B,r,n,t)}return function(r,t,e){return xYe(n,k,r,t,e)}}))})),yy=function(r,n,t){return yYe(Ckn,0,n,xy(r,n,t))},wy=r6e(5),gy=function(r,n,t){return xYe(wy,yy,r,n,t)},qy=_ru(r,n,Skn,_y),Iy=function(r,n,t){return xYe(qy,gy,r,n,t)},Ey=xru(r,n,hy);return[0,Zkn,function(r,n,t){return xYe(Ey,Iy,r,n,t)}]}if(!f)break r;var Dy=f[2];if(!Dy)break r;if(Dy[2])break r;var $y=Dy[1],Ty=f[1],Ny=b2e(0,r,nqn,[0,[0,rqn,1],Ygn],[0,1,Wgn],(function(r,n,t){return $2e(r,Jgn,Xgn,(function(e){var u=Q5e(r);function a(r,n,t){return xYe(e,u,r,n,t)}var f=q7e(r,Sgn,0);function i(r,n,t){return xYe(f,a,r,n,t)}var c=n6e(5);function o(r,n,t){return yYe(Zgn,0,n,xYe(c,i,r,n,t))}var v=$5e(zgn,r);function A(r,n,t){return xYe(v,o,r,n,t)}function s(r,n,t){return xYe(e,A,r,n,t)}function b(r,n,e){return xYe(t,s,r,n,e)}var l=w4e(r);function B(r,n,t){return xYe(l,b,r,n,t)}var j=u5e(r);function k(r,n,t){return xYe(j,B,r,n,t)}return function(r,t,e){return xYe(n,k,r,t,e)}}))})),Fy=function(r,n,t){return yYe(zkn,0,n,Ny(r,n,t))},Uy=r6e(5),Gy=function(r,n,t){return xYe(Uy,Fy,r,n,t)},Ky=_ru(r,n,Xkn,$y),Oy=function(r,n,t){return xYe(Ky,Gy,r,n,t)},Ry=xru(r,n,Ty);return[0,Jkn,function(r,n,t){return xYe(Ry,Oy,r,n,t)}]}if(0>=Ux){if(!f)break r;if(f[2])break r;var Vy=f[1],Ly=a6e(10),Hy=_ru(r,n,hpn,Vy);return[0,xpn,function(r,n,t){return xYe(Hy,Ly,r,n,t)}]}var Qy=dL(So,Os);if(0<=Qy){n:if(0>>0?m1e(r,PHn):A2e(1,r,KHn,[0,1,0],(function(r){var n=W1e(r,FHn),t=n[2],e=n[1],u=W1e(r,UHn),a=u[2],f=u[1],i=j3e(r);function c(r,n,t){return xYe(a,i,r,n,t)}var o=n2e(r,(function(n){var t=W1e(r,DHn),e=t[2],u=t[1],f=W1e(r,$Hn),i=f[2],c=f[1],o=D5e(r,THn);function v(r,n,t){return xYe(o,i,r,n,t)}function A(r,n,t){return xYe(e,v,r,n,t)}function s(r,n,t){return xYe(K1e,A,r,n,t)}var b=h4e();function l(r,n,t){return xYe(b,s,r,n,t)}function B(r,n,t){return xYe(i,l,r,n,t)}function j(r,t,e){return xYe(n,B,r,t,e)}var k=f0e[6];function p(r,n,t){return xYe(k,j,r,n,t)}function d(r,n,t){return xYe(i,p,r,n,t)}var m=v5e(r);function _(r,n,t){return xYe(m,d,r,n,t)}function h(r,t,e){return xYe(n,_,r,t,e)}function x(r,n,t){return xYe(a,h,r,n,t)}function y(r,n,t){return xYe(c,x,r,n,t)}var w=_4e(r,1,e);function g(r,n,t){return xYe(w,y,r,n,t)}function q(r,n,t){return xYe(u,g,r,n,t)}var I=D5e(r,NHn);function E(r,n,t){return xYe(I,q,r,n,t)}return function(r,t,e){return xYe(n,E,r,t,e)}}));function v(r,n,t){return xYe(o,c,r,n,t)}function A(r,n,e){return xYe(t,v,r,n,e)}function s(r,n,t){return xYe(f,A,r,n,t)}var b=b5e(r,0,t);function l(r,n,t){return xYe(b,s,r,n,t)}function B(r,n,t){return xYe(e,l,r,n,t)}var j=D5e(r,GHn);return function(r,n,t){return xYe(j,B,r,n,t)}}));return[0,0,cg]}if(!f)break r;if(f[2])break r;var og=f[1],vg=1>>0?m1e(r,qHn):s2e(1,r,EHn,[0,IHn,1],[0,1,0],(function(r,n){var t=W1e(r,_Hn),e=t[2],u=t[1],a=W1e(r,hHn),f=a[2],i=a[1],c=W1e(r,xHn),o=c[2],v=c[1],A=I3e(0,o),s=D5e(r,yHn);function b(r,n,t){return xYe(s,A,r,n,t)}function l(r,n,t){return xYe(f,b,r,n,t)}function B(r,n,t){return xYe(K1e,l,r,n,t)}var j=h4e();function k(r,n,t){return xYe(j,B,r,n,t)}function 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sg=f[1],bg=a[1];if(1>>0)var lg=m1e(r,e_n);else{var Bg=M5e(r),jg=N8e(r,bg),kg=function(r,n,t){return xYe(jg,Bg,r,n,t)},pg=xru(r,n,sg);lg=function(r,n,t){return xYe(pg,kg,r,n,t)}}return[0,TJ,lg];case 24:if(f)break r;var dg=a[1],mg=p7e(r),_g=B2e(r),hg=Y1e(r,iDn),xg=hg[2],yg=hg[1],wg=function(r,n,t){return yYe(cDn,0,n,t)},gg=e7e(r),qg=P8e(r,SJ,0,(function(r,n,t){return xYe(gg,wg,r,n,t)})),Ig=P8e(r,CJ,0,xg),Dg=P8e(r,QJ,1,n7e(r)),$g=b2e(0,r,tRn,nRn,0,(function(r,n,t){var e=W1e(r,"sum"),u=e[2],a=e[1],f=_1e(r,zMn),i=T1e(2);function c(r,n,t){return xYe(i,f,r,n,t)}var o=G1e(XMn);function v(r,n,t){return xYe(o,c,r,n,t)}var A=l7e(r);function s(r,n,t){return xYe(A,v,r,n,t)}var b=M1e(0,JMn);function l(r,n,t){return yYe(WMn,0,n,xYe(b,s,r,n,t))}var B=G1e(mH(16));function j(r,n,t){return xYe(B,l,r,n,t)}function k(r,n,t){return xYe(u,j,r,n,t)}var p=_1e(r,YMn);function d(r,n,t){return xYe(p,k,r,n,t)}var m=T1e(3);function _(r,n,t){return xYe(m,d,r,n,t)}function h(r,t,e){return xYe(n,_,r,t,e)}function 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xYe(eq,uq,r,n,t)},oq=[3,[0,ose,1]],vq=j1e(hYe,(function(r,n,t){return yYe(oq,0,n,t)})),sq=Q8e(r),bq=function(r,n,t){return xYe(sq,vq,r,n,t)},lq=function(r,n,t){return TYe(bq,r,n,t)},Bq=u9e(r,dg),jq=j1e((function(r,n,t){return xYe(Bq,lq,r,n,t)}),(function(r,n,t){return xYe(iq,fq,r,n,xYe(aq,cq,r,n,t))})),kq=H8e(r);return[0,TJ,function(r,n,t){return xYe(kq,jq,r,n,t)}];case 25:if(f)break r;var dq=a[1],mq=s1e(r)(HRn,LRn),_q=G1e(QRn),xq=m1e(r,"Detected implicit upgrade from classical orthogonal persistence to enhanced orthogonal persistence. Recompile with explicit flag --enhanced-orthogonal-persistence and redeploy to enable this irreversible migration."),yq=h1e(r,xqn),wq=function(r,n,t){return xYe(yq,xq,r,n,t)},gq=o9e(r),qq=V8e(r,dq),Iq=u7e(r),Dq=G1e(r7e),$q=h1e(r,"Unsupported stable memory version when upgrading from graph-copy-based stabilization"),Tq=function(r,n,t){return xYe($q,Dq,r,n,t)},Nq=Z1e(W5e),Fq=function(r,n,t){return xYe(Nq,Tq,r,n,t)},Uq=e7e(r),Gq=k1e(1,G1e(Y5e),(function(r,n,t){return xYe(Uq,Fq,r,n,t)})),Pq=function(r,n,t){return xYe(Gq,Iq,r,n,t)},Kq=Z1e(J5e),Oq=e7e(r),Mq=t9e(r),Rq=_1e(r,"Destabilization is not yet completed: Call __motoko_destabilize_after_upgrade"),Vq=function(r,n,t){return xYe(Rq,Mq,r,n,t)},Lq=N1e(0),Hq=function(r,n,t){return xYe(Kq,Pq,r,n,t)},Sq=function(r,n,t){return xYe(Lq,Vq,r,n,t)},Zq=t9e(r),zq=k1e(1,(function(r,n,t){return xYe(Zq,Sq,r,n,xYe(Oq,Hq,r,n,qq(r,n,t)))}),(function(r,n,t){return xYe(gq,wq,r,n,t)})),Xq=v9e(r),Jq=p7e(r),Wq=function(r,n,t){return 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xr=auu(r,z),yr=Huu(r,f);X=E(t,(function(r,n,t){return xYe(yr,xr,r,n,t)}));break;case 4:case 9:var wr=guu(0,z),gr=Buu(z),qr=Kuu(f,Enu(2)),Ir=function(r,n,t){return yYe(IJt,0,n,qr(r,n,t))},Er=Tuu(f),Dr=function(r,n,t){return xYe(Er,Ir,r,n,t)},$r=Ruu(r,f,Enu(2));X=E(t,(function(r,n,t){return xYe($r,Dr,r,n,xYe(gr,wr,r,n,t))}));break;default:var Tr=guu(0,z),Nr=Buu(z),Fr=function(r,n,t){return xYe(Nr,Tr,r,n,t)},Ur=Luu(r,f);X=E(t,(function(r,n,t){return xYe(Ur,Fr,r,n,t)}))}C=X;break r;case 3:switch(t[1]){case 1:var Gr=q($Et),Pr=k(n),Kr=U(n,-23,(function(r){return F()})),Or=function(r,n,t){return xYe(Pr,Gr,r,n,t)},Mr=DYe(0),Rr=neu(1),Vr=d(r,t),Lr=function(r,t,e){return xYe(n,Vr,r,t,e)},Hr=function(r,n,t){return xYe(b,Lr,r,n,t)},Qr=function(r,n,t){return xYe(v,Hr,r,n,t)},Cr=function(r,n,t){return xYe(i,Qr,r,n,t)},Sr=function(r,n,t){return Mr(Kr,Or,r,n,t)},Zr=function(r,n,t){return xYe(a,Cr,r,n,t)},zr=DYe(0),Xr=function(r,n,t){return zr(Zr,Rr,r,n,t)},Jr=function(r,n,t){return 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xYe(h,_,r,n,t)}function y(r,n,t){return xYe(s,x,r,n,t)}var w=Ouu(r,n);function I(r,n,t){return xYe(w,y,r,n,t)}var E=Ynu(r,(function(t){var e=Anu(r)(xIt,hIt);function u(r,t,u){return xYe(n,e,r,t,u)}var a=Anu(r)(wIt,yIt);function f(r,n,t){return xYe(a,u,r,n,t)}return function(r,t,e){return xYe(n,f,r,t,e)}}));function D(r,n,t){return xYe(E,I,r,n,t)}function $(r,n,t){return xYe(i,D,r,n,t)}var T=pnu(r,$It);function N(r,n,t){return yYe(TIt,0,n,xYe(T,$,r,n,t))}function F(r,n,t){return xYe(e,N,r,n,t)}function U(r,n,t){return xYe(i,F,r,n,t)}function G(r,n,t){return xYe(c,U,r,n,t)}var P=Ouu(r,f);function K(r,n,t){return xYe(P,G,r,n,t)}function O(r,n,t){return xYe(u,K,r,n,t)}var M=Ouu(r,n);return function(r,n,t){return xYe(M,O,r,n,t)}}));break r;case 5:var un=t[1];if("number"==typeof un||10!==un[0]){var an=Xnu(r,NEt),fn=an[2],cn=an[1],on=Xnu(r,FEt),vn=on[2],An=on[1],sn=Xnu(r,UEt),bn=sn[2],ln=sn[1],Bn=Xnu(r,GEt),jn=Bn[2],kn=Bn[1];dn=U(n,s,(function(n){var t=Ieu(r);function e(r,n,e){return 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21:if(!f)break r;if(f[2])break r;var Jr=f[1],Wr=otu(0,r,FGt,NGt,TGt,(function(r,n){return Ltu(r,$Gt,4,(function(t){var e=oiu(r);function u(r,n,u){return xYe(t,e,r,n,u)}var a=1>>0?jnu(r,sPt):riu(r,bPt);function f(r,n,t){return xYe(a,u,r,n,t)}function i(r,n,e){return xYe(t,f,r,n,e)}var c=viu(r);function o(r,n,t){return xYe(c,i,r,n,t)}return function(r,t,e){return xYe(n,o,r,t,e)}}))})),Yr=Oou(r,n,Jr);return[0,0,function(r,n,t){return xYe(Yr,Wr,r,n,t)}];case 22:if(!f)break r;if(f[2])break r;var rn=f[1],nn=riu(r,iAt),en=Pou(r,n,cAt,rn);return[0,bW,function(r,n,t){return xYe(en,nn,r,n,t)}];case 23:if(!f)break r;if(f[2])break r;var un=f[1];if(1>>0)var an=jnu(r,vPt);else{var fn=riu(r,APt),cn=tfu(r);an=function(r,n,t){return xYe(cn,fn,r,n,t)}}var on=Oou(r,n,un);return[0,bW,function(r,n,t){return xYe(on,an,r,n,t)}];case 24:if(f)break r;if(1>>0)var vn=jnu(r,cPt);else{var An=Keu(r),sn=Veu(0,ufu(r,0,(function(r){return riu(r,fPt)}),(function(r){return riu(r,iPt)}),(function(r){return 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Dn=gn[1],$n=f[1],Nn=In[1],Fn=qn[1],Un=wn[1],Gn=xxe($n[3][1])[4],Pn=xxe(Dn[3][1])[4],Kn=Xnu(r,oAt),On=Kn[2],Mn=Kn[1],Vn=Xnu(r,vAt),Ln=Vn[2],Hn=Vn[1],Qn=Xnu(r,AAt),Cn=Qn[2],Sn=Qn[1],Zn=Xnu(r,sAt),zn=Zn[2],Xn=Zn[1],Jn=Xnu(r,bAt),Wn=Jn[2],Yn=Jn[1],rt=bcu(0,n,fW),nt=ycu(r,fyt,On,hcu(r,Pn)([0,Cn,[0,zn,[0,Wn,0]]]),(function(n){var t=Giu[27].call(null,r,Gn);return function(r,n,e){return xYe(Ln,t,r,n,e)}}),rt),tt=function(r,n,t){return xYe(Yn,nt,r,n,t)},et=Oou(r,n,Nn),ut=function(r,n,t){return xYe(et,tt,r,n,t)},at=function(r,n,t){return xYe(Xn,ut,r,n,t)},ft=Oou(r,n,Fn),it=function(r,n,t){return xYe(ft,at,r,n,t)},ot=function(r,n,t){return xYe(Sn,it,r,n,t)},At=Oou(r,n,Dn),st=function(r,n,t){return xYe(At,ot,r,n,t)},bt=function(r,n,t){return xYe(Hn,st,r,n,t)},lt=Oou(r,n,Un),Bt=function(r,n,t){return xYe(lt,bt,r,n,t)},jt=function(r,n,t){return xYe(Mn,Bt,r,n,t)},kt=Oou(r,n,$n);return[0,bW,function(r,n,t){return xYe(kt,jt,r,n,t)}];case 29:if(!f)break r;var pt=f[2];if(!pt)break r;var dt=pt[2];if(!dt)break r;var mt=dt[2];if(!mt)break r;var _t=mt[2];if(!_t)break r;var ht=_t[2];if(!ht)break r;if(ht[2])break r;var xt=ht[1],yt=_t[1],wt=mt[1],gt=dt[1],qt=pt[1],It=f[1],Et=Xnu(r,lAt),Dt=Et[2],Nt=Et[1],Ft=Xnu(r,BAt),Ut=Ft[2],Gt=Ft[1],Pt=Xnu(r,jAt),Kt=Pt[2],Ot=Pt[1],Mt=Xnu(r,kAt),Rt=Mt[2],Vt=Mt[1],Lt=Xnu(r,pAt),Ht=Lt[2],Qt=Lt[1],Ct=bcu(0,n,fW),St=ycu(r,ayt,Dt,_cu(r,0)([0,Kt,[0,Rt,[0,Ht,0]]]),(function(n){var t=tfu(r);return function(r,n,e){return xYe(Ut,t,r,n,e)}}),Ct),Zt=function(r,n,t){return xYe(Qt,St,r,n,t)},zt=Oou(r,n,xt),Xt=function(r,n,t){return xYe(zt,Zt,r,n,t)},Jt=function(r,n,t){return xYe(Vt,Xt,r,n,t)},Wt=Oou(r,n,yt),Yt=function(r,n,t){return xYe(Wt,Jt,r,n,t)},re=function(r,n,t){return xYe(Ot,Yt,r,n,t)},ne=Oou(r,n,wt),te=function(r,n,t){return xYe(ne,re,r,n,t)},ee=function(r,n,t){return xYe(Gt,te,r,n,t)},ue=Oou(r,n,gt),ae=function(r,n,t){return xYe(ue,ee,r,n,t)},fe=function(r,n,t){return xYe(Nt,ae,r,n,t)},ie=Vfu(r,2),ce=function(r,n,t){return xYe(ie,fe,r,n,t)},oe=_eu(),ve=function(r,n,t){return xYe(oe,ce,r,n,t)},Ae=wfu(r),se=function(r,n,t){return xYe(Ae,ve,r,n,t)},be=Oou(r,n,qt),Be=function(r,n,t){return xYe(be,se,r,n,t)},je=Oou(r,n,It);return[0,bW,function(r,n,t){return xYe(je,Be,r,n,t)}];case 30:if(f)break r;var ke=1>>0?jnu(r,kKt):ufu(r,1,(function(r){return riu(r,BKt)}),(function(r){return riu(r,jKt)}),(function(r){return Enu(0)}));return[0,0,ke];case 31:if(f)break r;var pe=1>>0?jnu(r,vKt):riu(r,AKt);return[0,dAt,pe];case 32:if(f)break r;return[0,0,aiu(r)];case 9:break;default:break r}else switch(a[0]){case 0:if(!f)break r;var de=f[2];if(!de)break r;if(de[2])break r;var me=de[1],_e=f[1],he=xxe(axe(_e[3][1])),xe=he[2],we=he[1],ge=he[5],qe=IY(he[4]);switch(xe){case 0:var Ie=IY(ge);break;case 1:throw vV([0,NC,mAt],1);default:Ie=0}var Ee=Gou(r,n,_e),$e=Ee[2],Ne=Ee[1];n:{t:if("number"!=typeof Ne&&3===Ne[0]){var Fe=Ne[1][2];if("number"!=typeof Fe&&0===Fe[0]){if(!Fe[2])break t;var Ue=me[2];e:if(0===qe||1===qe)var 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iu=Xnu(r,IAt),cu=iu[2],ou=iu[1],vu=zeu(r,qe,Ie),Au=function(r,n,t){return xYe(cu,vu,r,n,t)},su=Pou(r,n,Viu(qe),me),bu=_eu(),lu=function(r,n,t){return xYe(su,Au,r,n,t)},Bu=function(r,n,t){return xYe(bu,lu,r,n,t)},ju=function(r,n,t){return xYe(cu,Bu,r,n,t)},ku=function(r,n,t){return xYe(ou,ju,r,n,t)},pu=Xiu(r,Ne,0),du=function(r,n,t){return xYe(pu,ku,r,n,t)};return[0,Viu(Ie),function(r,n,t){return xYe($e,du,r,n,t)}]}if(0!==xe)throw vV([0,NC,wAt],1);var mu=Xnu(r,gAt),_u=mu[2],hu=mu[1],xu=Xnu(r,qAt),yu=xu[2],gu=xu[1],qu=xxe(_e[3][1])[4],Iu=bcu(0,n,fW);if(1>>0)throw vV([0,NC,Yxt],1);var Eu=Jfu(r),Du=Wau(r,1,ryt),$u=function(r,n,t){return xYe(Du,Eu,r,n,t)},Tu=Xfu(r),Nu=riu(r,nyt),Fu=function(r,n,t){return xYe(Tu,$u,r,n,t)},Uu=function(r,n,t){return xYe(Nu,Fu,r,n,t)},Gu=function(r,n,t){return xYe(Iu,Uu,r,n,t)},Pu=riu(r,tyt),Ku=function(r,n,t){return xYe(Pu,Gu,r,n,t)},Ou=Giu[27].call(null,r,qu),Mu=function(r,n,t){return xYe(Ou,Ku,r,n,t)},Ru=function(r,n,t){return xYe(yu,Mu,r,n,t)},Vu=riu(r,eyt),Lu=function(r,n,t){return xYe(Vu,Ru,r,n,t)},Hu=function(r,n,t){return xYe($nu,Lu,r,n,t)},Qu=xcu(),Cu=function(r,n,t){return xYe(Qu,Hu,r,n,t)},Su=function(r,n,t){return xYe($nu,Cu,r,n,t)},Zu=xcu(),zu=function(r,n,t){return xYe(Zu,Su,r,n,t)},Xu=tfu(r),Ju=function(r,n,t){return xYe(Xu,zu,r,n,t)},Wu=Dfu(0,1),ra=function(r,n,t){return xYe(Wu,Ju,r,n,t)},na=function(r,n,t){return xYe(_u,ra,r,n,t)},ea=tfu(r),ua=function(r,n,t){return xYe(ea,na,r,n,t)},aa=Dfu(0,0),fa=function(r,n,t){return xYe(aa,ua,r,n,t)},ia=function(r,n,t){return xYe(_u,fa,r,n,t)},ca=function(r,n,t){return xYe(gu,ia,r,n,t)},oa=Oou(r,n,me),va=function(r,n,t){return xYe(oa,ca,r,n,t)},Aa=function(r,n,t){return xYe(hu,va,r,n,t)},ba=Xiu(r,Ne,0),la=function(r,n,t){return xYe(ba,Aa,r,n,t)};return[0,Viu(Ie),function(r,n,t){return xYe($e,la,r,n,t)}];case 1:var Ba=a[2],ja=a[1];if(!Ba){if(!f)break r;if(f[2])break r;return Gou(r,n,f[1])}if(!f)break r;if(f[2])break r;n:{var ka=f[1];if("number"==typeof ja){if(1===ja){var pa=[0,0,3,function(r,n,t){return yYe(0,0,n,t)}];break n}}else if(2===ja[0])switch(Ba){case 1:var da=ja[1];switch(da){case 7:var ma=1<=ef-2>>>0){switch(Ja){case 0:var af=xW(Fpt);break;case 1:throw vV([0,NC,Upt],1);case 2:af=Gpt;break;case 3:af=Ppt;break;case 4:af=Kpt;break;default:af=Opt}var ff=af[5],cf=af[4],of=af[3],vf=af[2],Af=af[1];switch(ef){case 6:var sf=[18,[1,vf]],Bf=function(r,n,t){return yYe(sf,0,n,t)};break;case 11:var jf=[18,[1,of]];Bf=function(r,n,t){return yYe(jf,0,n,t)};break;case 2:case 7:Bf=gau(r,Af);break;case 8:case 9:case 10:var kf=[18,[0,ff]];Bf=function(r,n,t){return yYe(kf,0,n,t)};break;case 3:case 4:case 5:case 14:var pf=[18,[0,cf]];Bf=function(r,n,t){return yYe(pf,0,n,t)};break;default:Bf=Znu(r,Npt,age(ef))}tf=Bf;break n}}}tf=Znu(r,Tpt,XEe(Ja))}rf=[0,Liu(La),tf]}var _f=rf[1],hf=rf[2],xf=Pou(r,n,_f,Wa),yf=function(r,n,t){return xYe(xf,hf,r,n,t)},wf=Pou(r,n,_f,Ya);return[0,0,function(r,n,t){return xYe(wf,yf,r,n,t)}];case 4:if(!f)break r;if(f[2])break r;var gf=f[1],qf=Rfu(0,a[1]),If=Oou(r,n,gf);return[0,0,function(r,n,t){return xYe(If,qf,r,n,t)}];case 5:if(!f)break r;if(f[2])break r;var Ef=a[1];return[0,0,Qeu(r,Ef,Oou(r,n,f[1]))];case 6:if(!f)break r;if(f[2])break r;var Df=f[1],$f=a[1],Tf=Gou(r,n,Df),Ff=Tf[2],Uf=Tf[1];if("number"!=typeof Uf&&3===Uf[0]){var Gf=Uf[1][2];if("number"!=typeof Gf&&2===Gf[0])return[0,[3,WY($f,Gf[1])],Ff]}var Pf=Sau(r,Df[3][1],$f),Kf=Xiu(r,Uf,0),Of=function(r,n,t){return xYe(Kf,Pf,r,n,t)};return[0,0,function(r,n,t){return xYe(Ff,Of,r,n,t)}];case 7:if(!f)break r;if(f[2])break r;var Mf=f[1],Rf=iiu(r,a[1]),Vf=Oou(r,n,Mf);return[0,0,function(r,n,t){return xYe(Vf,Rf,r,n,t)}];case 8:var Lf=a[1],Hf=GY((function(t){return Oou(r,n,t)}),f);return[0,0,Ffu(r,1===Lf?1:0,Hf)];case 9:if(!f)break r;if(f[2])break r;var Qf=a[1],Cf=f[1],Sf=Wiu[29].call(null,Qf,n[3]);if(!Sf)throw vV([0,VYe,jC(F3(zyt),Qf)],1);var Zf=Sf[1],zf=function(r,n,t){return UYe(Zf,r,n,t)},Xf=Oou(r,n,Cf);return[0,3,function(r,n,t){return xYe(Xf,zf,r,n,t)}];case 12:if(!f)break r;if(f[2])break r;var Jf=f[1],Wf=a[1],Yf=vtu(0,r,ZCt,SCt,CCt,(function(r,n,t){var e=Xnu(r,QCt),u=e[2],a=e[1],f=Utu();function i(r,n,t){return xYe(f,u,r,n,t)}function c(r,n,e){return xYe(t,i,r,n,e)}function o(r,t,e){return xYe(n,c,r,t,e)}var v=nfu();function A(r,n,t){return xYe(v,o,r,n,t)}function s(r,n,t){return xYe(u,A,r,n,t)}function b(r,n,t){return xYe(a,s,r,n,t)}var l=rfu(r,0,t);return function(r,n,t){return xYe(l,b,r,n,t)}})),ri=Giu[27].call(null,r,Wf),ni=function(r,n,t){return xYe(ri,Yf,r,n,t)},ti=Oou(r,n,Jf);return[0,0,function(r,n,t){return xYe(ti,ni,r,n,t)}];case 13:if(!f)break r;if(f[2])break r;var ei=a[1],ui=f[1],fi=Giu[28].call(null,0,r,ei),ii=neu(0),ci=function(r,n,t){return xYe(ii,fi,r,n,t)},oi=Oou(r,n,ui);return[0,Viu(IY(ei)),function(r,n,t){return xYe(oi,ci,r,n,t)}];case 14:if(!f)break r;if(f[2])break r;var vi=a[1],Ai=f[1];if(vi){if(vi[2])var si=IY(vi),bi=jC(F3(DAt),si),li=itu(0,r,bi,Qbe(si,(function(r){return[0,jC(F3(rAt),r),0]})),$At,(function(r,n){var t=Qbe(si,(function(r){return $Y(n,r)}));return function n(e){if(!e)return Reu(r,[7,vi],Ffu(r,2,t));var u=e[1],a=n(e[2]),f=Keu(r),i=DYe(0);function c(r,n,t){return i(f,a,r,n,t)}var o=Mnu(Giu[22].call(null,r));function v(r,n,t){return xYe(o,c,r,n,t)}return function(r,n,t){return xYe(u,v,r,n,t)}}(t)}));else{var Bi=vi[1],ji=Xnu(r,TAt),ki=ji[2],pi=ji[1],di=Reu(r,Bi,ki),mi=Keu(r),_i=DYe(0),hi=function(r,n,t){return _i(mi,di,r,n,t)},xi=Mnu(Giu[22].call(null,r)),yi=function(r,n,t){return xYe(xi,hi,r,n,t)},wi=function(r,n,t){return xYe(ki,yi,r,n,t)};li=function(r,n,t){return xYe(pi,wi,r,n,t)}}var gi=li}else gi=Reu(r,vS,Mfu());var qi=Giu[28].call(null,0,r,vi),Ii=function(r,n,t){return xYe(qi,gi,r,n,t)},Ei=neu(1),Di=function(r,n,t){return xYe(Ei,Ii,r,n,t)},$i=Oou(r,n,Ai);return[0,0,function(r,n,t){return xYe($i,Di,r,n,t)}];case 15:if(!f)break r;if(f[2])break r;var Ti=f[1],Ni=a[2],Fi=a[1];n:{t:{switch(Fi){case 2:if(6<=Ni){if(7<=Ni)break n;var Ui=otu(1,r,UAt,FAt,NAt,(function(r,n){var t=Uau(r);function e(r,e,u){return xYe(n,t,r,e,u)}var u=pnu(r,Yvt);function a(r,n,t){return xYe(u,e,r,n,t)}var f=Iau(r,64);function i(r,n,t){return xYe(f,a,r,n,t)}return function(r,t,e){return xYe(n,i,r,t,e)}})),Gi=Oou(r,n,Ti);return[0,GAt,function(r,n,t){return xYe(Gi,Ui,r,n,t)}]}if(3>Ni)break n;var Pi=otu(1,r,OYe(Ni,OAt),KAt,PAt,(function(r,n){var t=Buu(Ni),e=Gau(r);function u(r,n,u){return xYe(e,t,r,n,u)}function a(r,t,e){return xYe(n,u,r,t,e)}var f=pnu(r,Wvt);function i(r,n,t){return xYe(f,a,r,n,t)}var c=Iau(r,iuu(Ni));function o(r,n,t){return xYe(c,i,r,n,t)}return function(r,t,e){return xYe(n,o,r,t,e)}})),Ki=Oou(r,n,Ti);return[0,Liu([2,Ni]),function(r,n,t){return xYe(Ki,Pi,r,n,t)}];case 3:if(4!==Ni)break t;var Oi=Buu(4),Mi=luu(3),Ri=function(r,n,t){return xYe(Mi,Oi,r,n,t)},Vi=Pou(r,n,MAt,Ti);return[0,RAt,function(r,n,t){return xYe(Vi,Ri,r,n,t)}];case 4:var Li=Ni-3|0;if(2

  • >>0)break t;switch(Li){case 0:var Hi=iuu(Ni),Qi=Xnu(r,VAt),Ci=Qi[2],Si=Qi[1],Zi=Nnu(Gnu,Hi),zi=function(r,n,t){return xYe(Ci,Zi,r,n,t)},Xi=knu(r,LAt),Ji=function(r,n,t){return xYe(Xi,zi,r,n,t)},Wi=Nnu(Fnu,32-Hi|0),Yi=function(r,n,t){return xYe(Wi,Ji,r,n,t)},nc=function(r,n,t){return xYe(Ci,Yi,r,n,t)},tc=function(r,n,t){return xYe(Si,nc,r,n,t)},ec=Pou(r,n,HAt,Ti);return[0,QAt,function(r,n,t){return xYe(ec,tc,r,n,t)}];case 1:break t;default:var uc=Buu(5),ac=luu(4),fc=function(r,n,t){return xYe(ac,uc,r,n,t)},ic=Pou(r,n,CAt,Ti);return[0,SAt,function(r,n,t){return xYe(ic,fc,r,n,t)}]}case 5:switch(Ni){case 2:var cc=Nau(r),oc=Pou(r,n,ZAt,Ti);return[0,0,function(r,n,t){return xYe(oc,cc,r,n,t)}];case 4:var vc=iuu(Ni),Ac=Xnu(r,zAt),sc=Ac[2],bc=Ac[1],lc=Nnu(Gnu,vc),Bc=function(r,n,t){return xYe(sc,lc,r,n,t)},jc=knu(r,XAt),kc=function(r,n,t){return xYe(jc,Bc,r,n,t)},dc=Nnu(Fnu,vc),mc=function(r,n,t){return xYe(dc,kc,r,n,t)},_c=function(r,n,t){return xYe(sc,mc,r,n,t)},hc=function(r,n,t){return xYe(bc,_c,r,n,t)},xc=Pou(r,n,JAt,Ti);return[0,[2,Ni],function(r,n,t){return xYe(xc,hc,r,n,t)}];case 6:var yc=function(r,n,t){return yYe(WAt,0,n,t)},wc=Pou(r,n,YAt,Ti);return[0,rst,function(r,n,t){return xYe(wc,yc,r,n,t)}];case 14:var gc=xuu(r),qc=Pou(r,n,nst,Ti);return[0,tst,function(r,n,t){return xYe(qc,gc,r,n,t)}];default:break n}case 6:if(2===Ni){var Ec=Fau(r),Dc=Pou(r,n,cst,Ti);return[0,0,function(r,n,t){return xYe(Dc,Ec,r,n,t)}]}if(5!==Ni)break n;var $c=mH(iuu(Ni)),Tc=Jnu(r,est),Nc=Tc[2],Fc=function(r,n,t){return yYe(ust,0,n,t)},Uc=Tc[1],Gc=function(r,n,t){return xYe(Nc,Fc,r,n,t)},Pc=knu(r,ast),Kc=function(r,n,t){return yYe(fst,0,n,xYe(Pc,Gc,r,n,t))},Oc=Vnu($c),Mc=function(r,n,t){return xYe(Oc,Kc,r,n,t)},Rc=function(r,n,t){return xYe(Nc,Mc,r,n,t)},Vc=function(r,n,t){return xYe(Uc,Rc,r,n,t)},Lc=Pou(r,n,ist,Ti);return[0,[2,Ni],function(r,n,t){return xYe(Lc,Vc,r,n,t)}];case 7:if(8<=Ni)switch(Ni-8|0){case 3:var Hc=otu(1,r,Ast,vst,ost,(function(r,n){var t=Uau(r);function e(r,e,u){return xYe(n,t,r,e,u)}var u=pnu(r,Jvt);function a(r,n,t){return xYe(u,e,r,n,t)}var f=Eau(r,64);function i(r,n,t){return xYe(f,a,r,n,t)}return function(r,t,e){return xYe(n,i,r,t,e)}})),Qc=Oou(r,n,Ti);return[0,sst,function(r,n,t){return xYe(Qc,Hc,r,n,t)}];case 4:var Sc=Xnu(r,bst),Zc=Sc[2],zc=Sc[1],Xc=Anu(r)(Bst,lst),Jc=function(r,n,t){return yYe(kst,0,n,yYe(jst,0,n,t))},Wc=Beu(0,0,7),Yc=function(r,n,t){return xYe(Wc,Jc,r,n,t)},ro=ueu(r,pst,(function(r,n,t){return xYe(Zc,Yc,r,n,t)}),(function(r,n,t){return xYe(Zc,Xc,r,n,t)})),no=function(r,n,t){return xYe(Zc,ro,r,n,t)},to=function(r,n,t){return xYe(zc,no,r,n,t)},eo=Oou(r,n,Ti);return[0,1,function(r,n,t){return xYe(eo,to,r,n,t)}];case 0:case 1:case 2:var uo=otu(1,r,OYe(Ni,_st),mst,dst,(function(r,n){var t=Buu(Ni),e=Gau(r);function u(r,n,u){return xYe(e,t,r,n,u)}function a(r,t,e){return xYe(n,u,r,t,e)}var f=pnu(r,Xvt);function i(r,n,t){return xYe(f,a,r,n,t)}var c=Eau(r,iuu(Ni));function o(r,n,t){return xYe(c,i,r,n,t)}return function(r,t,e){return xYe(n,o,r,t,e)}})),ao=Oou(r,n,Ti);return[0,Liu([2,Ni]),function(r,n,t){return xYe(ao,uo,r,n,t)}];default:break n}break n;case 8:if(9===Ni){var fo=Nnu(Unu,8),io=Pou(r,n,hst,Ti);return[0,xst,function(r,n,t){return xYe(io,fo,r,n,t)}]}break;case 9:var co=Ni-8|0;if(2>=co>>>0)switch(co){case 0:var oo=iuu(Ni),vo=Xnu(r,yst),Ao=vo[2],so=vo[1],lo=Nnu(Gnu,oo),jo=function(r,n,t){return xYe(Ao,lo,r,n,t)},ko=pnu(r,wst),po=function(r,n,t){return xYe(ko,jo,r,n,t)},mo=$ou(r)(gst),_o=function(r,n,t){return xYe(mo,po,r,n,t)},ho=function(r,n,t){return xYe(Ao,_o,r,n,t)},xo=Nnu(Unu,oo),yo=function(r,n,t){return xYe(xo,ho,r,n,t)},wo=Nnu(Gnu,oo),go=function(r,n,t){return xYe(wo,yo,r,n,t)},qo=function(r,n,t){return xYe(Ao,go,r,n,t)},Io=function(r,n,t){return xYe(so,qo,r,n,t)},Eo=Pou(r,n,qst,Ti);return[0,Ist,function(r,n,t){return xYe(Eo,Io,r,n,t)}];case 1:break;default:var Do=Nnu(Unu,16),$o=Pou(r,n,Est,Ti);return[0,Dst,function(r,n,t){return xYe($o,Do,r,n,t)}]}break;case 10:if(12<=Ni)break n;switch(Ni){case 7:var To=$au(r),No=Pou(r,n,$st,Ti);return[0,0,function(r,n,t){return xYe(No,To,r,n,t)}];case 9:var Fo=iuu(Ni),Uo=Xnu(r,Tst),Go=Uo[2],Po=Uo[1],Ko=Nnu(Gnu,Fo),Mo=function(r,n,t){return xYe(Go,Ko,r,n,t)},Vo=pnu(r,Nst),Lo=function(r,n,t){return xYe(Vo,Mo,r,n,t)},Ho=$ou(r)(bS),Qo=function(r,n,t){return xYe(Ho,Lo,r,n,t)},Co=function(r,n,t){return xYe(Go,Qo,r,n,t)},So=Nnu(Unu,Fo),Zo=function(r,n,t){return xYe(So,Co,r,n,t)},zo=Nnu(Gnu,Fo),Xo=function(r,n,t){return xYe(zo,Zo,r,n,t)},Wo=function(r,n,t){return xYe(Go,Xo,r,n,t)},Yo=function(r,n,t){return xYe(Po,Wo,r,n,t)},rv=Pou(r,n,Fst,Ti);return[0,Ust,function(r,n,t){return xYe(rv,Yo,r,n,t)}];case 11:var nv=function(r,n,t){return yYe(Gst,0,n,t)},tv=Pou(r,n,Pst,Ti);return[0,Kst,function(r,n,t){return xYe(tv,nv,r,n,t)}];default:break n}case 11:var ev=Ni-7|0;if(5>>0)break n;switch(ev){case 0:var uv=Tau(r),av=Pou(r,n,Ost,Ti);return[0,0,function(r,n,t){return xYe(av,uv,r,n,t)}];case 3:var fv=iuu(Ni),iv=Jnu(r,Mst),cv=iv[2],ov=function(r,n,t){return yYe(Rst,0,n,t)},vv=iv[1],Av=function(r,n,t){return xYe(cv,ov,r,n,t)},sv=pnu(r,Vst),lv=function(r,n,t){return xYe(sv,Av,r,n,t)},Bv=$ou(r)(Lst),jv=function(r,n,t){return xYe(Bv,lv,r,n,t)},kv=function(r,n,t){return xYe(cv,jv,r,n,t)},pv=Lnu(mH(fv)),dv=function(r,n,t){return xYe(pv,kv,r,n,t)},mv=Hnu(mH(fv)),_v=function(r,n,t){return xYe(mv,dv,r,n,t)},hv=function(r,n,t){return xYe(cv,_v,r,n,t)},xv=function(r,n,t){return xYe(vv,hv,r,n,t)},yv=Pou(r,n,Hst,Ti);return[0,[2,Ni],function(r,n,t){return xYe(yv,xv,r,n,t)}];case 5:var wv=function(r,n,t){return yYe(Qst,0,n,t)},gv=Pou(r,n,Cst,Ti);return[0,1,function(r,n,t){return xYe(gv,wv,r,n,t)}];default:break n}case 12:var qv=Ni-7|0;if(6>>0)break n;switch(qv){case 0:var Iv=Anu(r)(Zst,Sst),Ev=Pou(r,n,1,Ti);return[0,0,function(r,n,t){return xYe(Ev,Iv,r,n,t)}];case 4:var Dv=function(r,n,t){return yYe(zst,0,n,t)},$v=Pou(r,n,1,Ti);return[0,Xst,function(r,n,t){return xYe($v,Dv,r,n,t)}];case 6:var Tv=function(r,n,t){return yYe(Jst,0,n,t)},Nv=Pou(r,n,1,Ti);return[0,2,function(r,n,t){return xYe(Nv,Tv,r,n,t)}];default:break n}case 13:if(12!==Ni)break n;var Fv=function(r,n,t){return yYe(Wst,0,n,t)},Uv=Pou(r,n,2,Ti);return[0,1,function(r,n,t){return xYe(Uv,Fv,r,n,t)}];default:break n}if(7!==Ni)break n;var Pv=ouu(Fi),Kv=$au(r),Ov=Nnu(Unu,Pv),Mv=function(r,n,t){return xYe(Ov,Kv,r,n,t)},Rv=Pou(r,n,[2,Fi],Ti);return[0,0,function(r,n,t){return xYe(Rv,Mv,r,n,t)}]}if(2===Ni){var Vv=ouu(Fi),Lv=Nau(r),Hv=Nnu(Fnu,Vv),Qv=function(r,n,t){return xYe(Hv,Lv,r,n,t)},Cv=Pou(r,n,[2,Fi],Ti);return[0,0,function(r,n,t){return xYe(Cv,Qv,r,n,t)}]}}return[0,3,Znu(r,Yst,Dze(a))];case 16:if(!f)break r;if(f[2])break r;var Sv=f[1],Zv=a[2],zv=a[1];n:{t:{e:{switch(zv){case 3:if(8===Zv)break n;break t;case 4:if(9===Zv)break n;break t;case 5:if(10===Zv)break e;break t;case 6:if(11!==Zv)break t;break;case 8:if(3===Zv)break n;break t;case 9:if(4===Zv)break n;break t;case 10:if(5===Zv)break e;break t;case 11:if(6!==Zv)break t;break;case 14:if(5!==Zv)break t;var Xv=_uu(),Jv=Pou(r,n,[2,zv],Sv);return[0,rbt,function(r,n,t){return xYe(Jv,Xv,r,n,t)}];case 2:case 7:switch(Zv){case 5:case 10:var Wv=Gau(r),Yv=Oou(r,n,Sv);return[0,[2,Zv],function(r,n,t){return xYe(Yv,Wv,r,n,t)}];case 6:case 11:var rA=Uau(r),tA=Oou(r,n,Sv);return[0,[1,Zv],function(r,n,t){return xYe(tA,rA,r,n,t)}];case 3:case 4:case 8:case 9:var eA=Nnu(Gnu,ouu(Zv)),uA=Gau(r),aA=function(r,n,t){return xYe(uA,eA,r,n,t)},fA=Oou(r,n,Sv);return[0,[2,Zv],function(r,n,t){return xYe(fA,aA,r,n,t)}];default:break t}default:break t}return[0,[1,Zv],Pou(r,n,[1,zv],Sv)]}return[0,[2,Zv],Pou(r,n,[2,zv],Sv)]}return[0,3,Znu(r,nbt,Dze(a))]}return[0,[2,Zv],Pou(r,n,[2,zv],Sv)];case 17:if(!f)break r;if(f[2])break r;return Gou(r,n,f[1]);case 18:if(!f)break r;if(f[2])break r;var iA=f[1],cA=Xnu(r,tbt),oA=cA[2],vA=cA[1],AA=efu(r,0,3),sA=function(r,n,t){return xYe(oA,AA,r,n,t)},bA=pnu(r,ebt),lA=function(r,n,t){return yYe(ubt,0,n,xYe(bA,sA,r,n,t))},BA=Enu(29),jA=function(r,n,t){return xYe(BA,lA,r,n,t)},kA=Xau(),pA=function(r,n,t){return xYe(kA,jA,r,n,t)},dA=function(r,n,t){return xYe(oA,pA,r,n,t)},_A=function(r,n,t){return xYe(vA,dA,r,n,t)},hA=Oou(r,n,iA);return[0,0,function(r,n,t){return xYe(hA,_A,r,n,t)}];case 19:if(f)break r;return[0,0,uiu(r)];case 20:var xA=a[1],yA=dL(xA,IE);if(0>yA){var wA=dL(xA,wr);if(0>wA){var qA=dL(xA,vh);if(0<=qA){if(0>=qA){if(!f)break r;var EA=f[2];if(!EA)break r;if(EA[2])break r;return i(zbt,muu(r,9))}var DA=dL(xA,Yw);if(0<=DA){if(0>=DA){if(!f)break r;if(f[2])break r;return Vou(r,n,f[1],Zbt)}var $A=dL(xA,dd);if(0<=$A){if(0>=$A){if(!f)break r;if(f[2])break r;var TA=f[1],NA=puu(3),FA=Pou(r,n,Cbt,TA);return[0,Sbt,function(r,n,t){return xYe(FA,NA,r,n,t)}]}if(xA===nF){if(!f)break r;if(f[2])break r;var UA=f[1],PA=puu(9),KA=Pou(r,n,Hbt,UA);return[0,Qbt,function(r,n,t){return xYe(KA,PA,r,n,t)}]}if(xA===YG){if(!f)break r;if(f[2])break r;var RA=function(r,n,t){return yYe(Rbt,0,n,t)},VA=Pou(r,n,Vbt,f[1]);return[0,Lbt,function(r,n,t){return xYe(VA,RA,r,n,t)}]}if(xA!==Ud){if(xA!==Ek)break r;if(!f)break r;if(f[2])break r;var LA=f[1],HA=puu(8),QA=Pou(r,n,Gbt,LA);return[0,Pbt,function(r,n,t){return xYe(QA,HA,r,n,t)}]}if(!f)break r;if(f[2])break r;var CA=function(r,n,t){return yYe(Kbt,0,n,t)},SA=Pou(r,n,Obt,f[1]);return[0,Mbt,function(r,n,t){return xYe(SA,CA,r,n,t)}]}if(xA===CO){if(!f)break r;if(f[2])break r;return Rou(r,n,f[1],Ubt)}if(xA===Hm){if(!f)break r;if(f[2])break r;return Rou(r,n,f[1],Fbt)}if(xA===_j){if(!f)break r;if(f[2])break r;var ZA=f[1],zA=puu(4),XA=Pou(r,n,Tbt,ZA);return[0,Nbt,function(r,n,t){return xYe(XA,zA,r,n,t)}]}if(xA!==Py){if(xA!==cs)break r;if(!f)break r;if(f[2])break r;var JA=function(r,n,t){return yYe(gbt,0,n,t)},YA=Pou(r,n,qbt,f[1]);return[0,Ibt,function(r,n,t){return xYe(YA,JA,r,n,t)}]}if(!f)break r;if(f[2])break r;var rs=function(r,n,t){return yYe(Ebt,0,n,t)},ns=Pou(r,n,Dbt,f[1]);return[0,$bt,function(r,n,t){return xYe(ns,rs,r,n,t)}]}var es=dL(xA,db);if(0<=es){if(0>=es){if(f)break r;return[0,0,uiu(r)]}if(xA===P){if(f)break r;var us=1>>0?jnu(r,SKt):ctu(1,r,zKt,ZKt,(function(r){return ufu(r,3,(function(r){return riu(r,QKt)}),(function(r){return riu(r,CKt)}),(function(r){return Enu(0)}))}));return[0,0,us]}if(xA===J$){if(f)break r;return[0,wbt,niu(see,r)]}if(xA===RK){if(!f)break r;if(f[2])break r;return Vou(r,n,f[1],ybt)}if(xA!==LO){if(xA!==le)break r;if(!f)break r;if(f[2])break r;return Vou(r,n,f[1],hbt)}if(!f)break r;if(f[2])break r;return Vou(r,n,f[1],xbt)}if(xA===ta){if(!f)break r;var as=f[2];if(!as)break r;if(as[2])break r;return i(_bt,muu(r,10))}if(xA===YN){if(!f)break r;var fs=f[2];if(!fs)break r;if(fs[2])break r;return i(mbt,euu(r))}if(xA===Ym){if(!f)break r;var is=f[2];if(!is)break r;if(is[2])break r;return i(dbt,muu(r,8))}if(xA!==C_){if(xA!==gA)break r;if(f)break r;return[0,pbt,zfu(r)]}if(f)break r;var os=[11,[0,ose,tnu(r,RVt)]];return[0,0,function(r,n,t){return yYe(os,0,n,t)}]}var vs=dL(xA,hR);if(0<=vs){if(0>=vs)return i(0,efu(r,2,0));var As=dL(xA,LK);if(0<=As){if(0>=As){if(!f)break r;if(f[2])break r;var ss=f[1],bs=otu(1,r,tSt,nSt,rSt,(function(r,n){var t=Nau(r),e=Xau();function u(r,n,u){return xYe(e,t,r,n,u)}return function(r,t,e){return xYe(n,u,r,t,e)}})),ls=Oou(r,n,ss);return[0,0,function(r,n,t){return xYe(ls,bs,r,n,t)}]}if(xA===Zk){if(!f)break r;if(f[2])break r;var Bs=f[1],js=Anu(r)(KCt,PCt),ks=Oou(r,n,Bs);return[0,0,function(r,n,t){return xYe(ks,js,r,n,t)}]}if(xA===rc){if(!f)break r;var ps=f[2];if(!ps)break r;if(ps[2])break r;return i(kbt,muu(r,4))}if(xA===qa){if(!f)break r;var ds=f[2];if(!ds)break r;if(ds[2])break r;return i(jbt,muu(r,5))}if(xA!==QO){if(xA!==Cc)break r;if(!f)break r;var ms=f[2];if(!ms)break r;if(ms[2])break r;return i(lbt,muu(r,3))}if(!f)break r;var _s=f[2];if(!_s)break r;if(_s[2])break r;return i(Bbt,euu(r))}if(xA===qU)return i(0,Kfu(r,0));if(xA===dU)return i(0,Kfu(r,1));if(xA===V_){if(!f)break r;var hs=f[2];if(!hs)break r;if(hs[2])break r;var xs=hs[1],ys=f[1],ws=afu(r,0),gs=Oou(r,n,xs),qs=function(r,n,t){return xYe(gs,ws,r,n,t)},Is=Oou(r,n,ys);return[0,0,function(r,n,t){return xYe(Is,qs,r,n,t)}]}if(xA!==gF){if(xA!==Oo)break r;if(!f)break r;if(f[2])break r;var Es=f[1],Ds=Buu(3),$s=Anu(r)(FCt,NCt),Ts=function(r,n,t){return xYe($s,Ds,r,n,t)},Ns=Oou(r,n,Es);return[0,bbt,function(r,n,t){return xYe(Ns,Ts,r,n,t)}]}if(!f)break r;if(f[2])break r;var Fs=f[1],Us=Anu(r)(GCt,UCt),Gs=Oou(r,n,Fs);return[0,0,function(r,n,t){return xYe(Gs,Us,r,n,t)}]}var Ps=dL(xA,Er);if(0<=Ps){if(0>=Ps){if(!f)break r;if(f[2])break r;var Ks=f[1],Ms=1<=wA){if(!f)break r;if(f[2])break r;var Nb=f[1],Fb=Anu(r)(KHt,PHt),Ub=_uu(),Gb=function(r,n,t){return xYe(Ub,Fb,r,n,t)},Pb=Oou(r,n,Nb);return[0,0,function(r,n,t){return xYe(Pb,Gb,r,n,t)}]}var Kb=dL(xA,sa);n:{if(0>Kb){var Ob=dL(xA,zk);if(0>Ob){var Mb=dL(xA,TD);if(0<=Mb){if(0>=Mb){if(!f)break r;if(f[2])break r;var Rb=f[1],Vb=Anu(r)(klt,jlt),Lb=Oou(r,n,Rb);return[0,plt,function(r,n,t){return xYe(Lb,Vb,r,n,t)}]}if(xA===jF){if(!f)break r;if(f[2])break r;var Hb=f[1],Qb=duu(4),Cb=Pou(r,n,llt,Hb);return[0,Blt,function(r,n,t){return xYe(Cb,Qb,r,n,t)}]}if(xA===Cq){if(!f)break r;if(f[2])break r;var Sb=function(r,n,t){return yYe(Alt,0,n,t)},Zb=Pou(r,n,slt,f[1]);return[0,blt,function(r,n,t){return xYe(Zb,Sb,r,n,t)}]}if(xA===Nf){if(!f)break r;if(f[2])break r;var zb=function(r,n,t){return yYe(clt,0,n,t)},Xb=Pou(r,n,olt,f[1]);return[0,vlt,function(r,n,t){return xYe(Xb,zb,r,n,t)}]}if(xA!==bo){if(xA!==fU)break r;if(!f)break r;if(f[2])break r;var Jb=f[1],Wb=duu(9),Yb=Pou(r,n,ult,Jb);return[0,alt,function(r,n,t){return xYe(Yb,Wb,r,n,t)}]}if(!f)break r;if(f[2])break r;var rl=f[1],nl=duu(3),tl=Pou(r,n,flt,rl);return[0,ilt,function(r,n,t){return xYe(tl,nl,r,n,t)}]}if(xA===LE){if(!f)break r;var el=f[2];if(!el)break r;if(el[2])break r;var ul=el[1],al=f[1],fl=vtu(0,r,Kxt,Pxt,[0,0,0],(function(r,n,t){return Ltu(r,Gxt,4,(function(e){var u=oiu(r);function a(r,n,t){return xYe(e,u,r,n,t)}var 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Qd=iiu(r,yS),Cd=uiu(r);return[0,0,function(r,n,t){return xYe(Cd,Qd,r,n,t)}]}var Sd=dL(xA,Bo);if(0<=Sd){if(0>=Sd){if(!f)break r;if(f[2])break r;var Zd=f[1],zd=Anu(r)(FHt,NHt),Xd=Oou(r,n,Zd);return[0,0,function(r,n,t){return xYe(Xd,zd,r,n,t)}]}if(xA===lm){if(!f)break r;if(f[2])break r;var Jd=f[1],Wd=Anu(r)(THt,$Ht),Yd=Oou(r,n,Jd);return[0,0,function(r,n,t){return xYe(Yd,Wd,r,n,t)}]}if(xA===tk){if(!f)break r;if(f[2])break r;var rm=f[1],nm=eiu(r),tm=tfu(r),em=function(r,n,t){return xYe(tm,nm,r,n,t)},um=wfu(r),am=function(r,n,t){return xYe(um,em,r,n,t)},fm=Oou(r,n,rm);return[0,3,function(r,n,t){return xYe(fm,am,r,n,t)}]}if(xA!==tn){if(xA!==OF)break r;if(!f)break r;if(f[2])break r;return MY(Bde,[0,Jpe(dpe,ljt,bjt,0,0,0,sjt),0]),IAe(0)}if(!f)break r;if(f[2])break r;return MY(Bde,[0,Jpe(dpe,kjt,jjt,0,0,0,Bjt),0]),IAe(0)}if(xA===bf){if(!f)break r;var im=f[2];if(!im)break r;if(im[2])break r;var cm=im[1],om=f[1],vm=Buu(8),Am=Anu(r)(vjt,ojt),sm=function(r,n,t){return 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t_=vtu(1,r,SNt,CNt,0,(function(r,n,t){return Tiu(r,(function(r,e,u){return xYe(n,t,r,e,u)}),0,sfu,uou)})),e_=Pou(r,n,0,r_),u_=function(r,n,t){return xYe(e_,t_,r,n,t)},a_=Pou(r,n,fjt,n_);return[0,bW,function(r,n,t){return xYe(a_,u_,r,n,t)}]}if(xA===ye){if(!f)break r;var f_=f[2];if(!f_)break r;if(f_[2])break r;var i_=f_[1],c_=f[1],o_=vtu(1,r,kNt,jNt,0,(function(r,n,t){return Tiu(r,(function(r,e,u){return xYe(n,t,r,e,u)}),0,hfu,tou)})),v_=Pou(r,n,1,i_),A_=function(r,n,t){return xYe(v_,o_,r,n,t)},s_=Pou(r,n,ajt,c_);return[0,bW,function(r,n,t){return xYe(s_,A_,r,n,t)}]}if(xA!==Kx){if(xA!==kB)break r;break t}}if(!f)break r;var b_=f[2];if(!b_)break r;if(b_[2])break r;var l_=b_[1],B_=f[1],j_=xA===bv?4:9;Inu(r);var k_=vtu(1,r,UNt,FNt,0,(function(r,n,t){return Tiu(r,(function(r,e,u){return xYe(n,t,r,e,u)}),0,jfu,Wcu)})),p_=luu(j_),d_=function(r,n,t){return xYe(p_,k_,r,n,t)},m_=Pou(r,n,[2,j_],l_),__=function(r,n,t){return xYe(m_,d_,r,n,t)},h_=Pou(r,n,Rjt,B_);return[0,bW,function(r,n,t){return xYe(h_,__,r,n,t)}]}if(!f)break r;var x_=f[2];if(!x_)break r;if(x_[2])break r;var y_=x_[1],w_=f[1];Inu(r);var g_=vtu(1,r,ENt,INt,0,(function(r,n,t){return Tiu(r,(function(r,e,u){return xYe(n,t,r,e,u)}),0,pfu,Zcu)})),q_=Pou(r,n,[2,xA===MM?5:10],y_),I_=function(r,n,t){return xYe(q_,g_,r,n,t)},$_=Pou(r,n,Pjt,w_);return[0,bW,function(r,n,t){return xYe($_,I_,r,n,t)}]}}if(!f)break r;if(f[2])break r;var T_=f[1],N_=xA===df?3:8,F_=Buu(N_);Inu(r);var U_=otu(1,r,QNt,HNt,LNt,(function(r,n){return Tiu(r,n,VNt,bfu,zcu)})),G_=function(r,n,t){return xYe(U_,F_,r,n,t)},P_=Pou(r,n,Kjt,T_);return[0,[2,N_],function(r,n,t){return xYe(P_,G_,r,n,t)}]}var K_=dL(xA,Xm);n:{t:{e:{if(0>K_){var O_=dL(xA,uE);if(0<=O_){if(0>=O_)return i(0,efu(r,3,2));var M_=dL(xA,gK);if(0<=M_){if(0>=M_){if(!f)break r;var R_=f[2];if(!R_)break r;if(R_[2])break r;var L_=R_[1],H_=f[1],Q_=_fu(r),S_=Pou(r,n,OBt,L_),Z_=function(r,n,t){return xYe(S_,Q_,r,n,t)},z_=Pou(r,n,0,H_);return[0,1,function(r,n,t){return xYe(z_,Z_,r,n,t)}]}if(xA!==x$){if(xA===br)break e;if(xA===ar)break t;if(xA===NK)break n;if(xA!==Sj)break r}if(!f)break r;var X_=f[2];if(!X_)break r;if(X_[2])break r;var J_=X_[1],W_=f[1],Y_=xA===Sj?4:9,rh=Buu(Y_),nh=Bfu(r),th=function(r,n,t){return xYe(nh,rh,r,n,t)},eh=Pou(r,n,Djt,J_),uh=function(r,n,t){return xYe(eh,th,r,n,t)},ah=Pou(r,n,0,W_);return[0,[2,Y_],function(r,n,t){return xYe(ah,uh,r,n,t)}]}if(xA===Aq)return i(0,efu(r,0,2));if(xA===Ad){if(!f)break r;if(f[2])break r;var fh=f[1],ih=otu(1,r,MOt,OOt,0,(function(r,n){var t=Xnu(r,KOt),e=t[2],u=t[1],a=tiu(r),f=Xau();function i(r,n,t){return xYe(f,a,r,n,t)}function c(r,n,t){return xYe(e,i,r,n,t)}var o=nfu();function v(r,n,t){return xYe(o,c,r,n,t)}function A(r,n,t){return xYe(e,v,r,n,t)}function s(r,n,t){return xYe(u,A,r,n,t)}var b=wfu(r);function l(r,n,t){return xYe(b,s,r,n,t)}return function(r,t,e){return xYe(n,l,r,t,e)}})),oh=Oou(r,n,fh);return[0,bW,function(r,n,t){return xYe(oh,ih,r,n,t)}]}if(xA===zI){if(!f)break r;var Ah=f[2];if(!Ah)break r;if(Ah[2])break r;var sh=Ah[1],bh=f[1],lh=vfu(r),Bh=Pou(r,n,PBt,sh),jh=function(r,n,t){return xYe(Bh,lh,r,n,t)},kh=Pou(r,n,0,bh);return[0,KBt,function(r,n,t){return xYe(kh,jh,r,n,t)}]}if(xA!==My){if(xA!==NI)break r;if(!f)break r;var ph=f[2];if(!ph)break r;var dh=ph[2];if(!dh)break r;if(dh[2])break r;var mh=dh[1],_h=ph[1],hh=f[1],xh=Afu(r),yh=Kau(r),wh=function(r,n,t){return xYe(yh,xh,r,n,t)},gh=Wau(r,1,UBt),qh=function(r,n,t){return xYe(gh,wh,r,n,t)},Ih=Pou(r,n,0,mh),Eh=function(r,n,t){return xYe(Ih,qh,r,n,t)},Dh=Pou(r,n,GBt,_h),Th=function(r,n,t){return xYe(Dh,Eh,r,n,t)},Nh=Pou(r,n,0,hh);return[0,0,function(r,n,t){return xYe(Nh,Th,r,n,t)}]}if(!f)break r;if(f[2])break r;var Fh=f[1],Uh=Fau(r),Gh=ifu(r),Ph=function(r,n,t){return xYe(Gh,Uh,r,n,t)},Kh=Pou(r,n,0,Fh);return[0,0,function(r,n,t){return xYe(Kh,Ph,r,n,t)}]}var Oh=dL(xA,DM);if(0<=Oh){if(0>=Oh){if(!f)break r;if(f[2])break r;var Mh=function(r,n,t){return yYe(TBt,0,n,t)},Rh=Pou(r,n,NBt,f[1]);return[0,FBt,function(r,n,t){return xYe(Rh,Mh,r,n,t)}]}if(xA===D_){if(!f)break r;if(f[2])break r;var Vh=f[1],Lh=Buu(3),Hh=function(r,n,t){return yYe(EBt,0,n,Lh(r,n,t))},Qh=Pou(r,n,DBt,Vh);return[0,$Bt,function(r,n,t){return xYe(Qh,Hh,r,n,t)}]}if(xA===WO){if(!f)break r;if(f[2])break r;var Ch=f[1],Sh=Buu(9),Zh=function(r,n,t){return yYe(gBt,0,n,Sh(r,n,t))},zh=Pou(r,n,qBt,Ch);return[0,IBt,function(r,n,t){return xYe(zh,Zh,r,n,t)}]}if(xA===HM){if(!f)break r;if(f[2])break r;var Xh=function(r,n,t){return yYe(xBt,0,n,t)},Jh=Pou(r,n,yBt,f[1]);return[0,wBt,function(r,n,t){return xYe(Jh,Xh,r,n,t)}]}if(xA!==Gv){if(xA!==ct)break r;if(!f)break r;if(f[2])break r;var Wh=f[1],Yh=Buu(8),rx=function(r,n,t){return yYe(kBt,0,n,Yh(r,n,t))},nx=Pou(r,n,pBt,Wh);return[0,dBt,function(r,n,t){return xYe(nx,rx,r,n,t)}]}if(!f)break r;if(f[2])break r;var tx=function(r,n,t){return yYe(mBt,0,n,t)},ex=Pou(r,n,_Bt,f[1]);return[0,hBt,function(r,n,t){return xYe(ex,tx,r,n,t)}]}if(xA===Pw){if(!f)break r;if(f[2])break r;var ux=f[1],ax=Xnu(r,jBt),fx=ax[2],ix=ax[1],cx=niu(jW,r),ox=Xau(),vx=function(r,n,t){return xYe(ox,cx,r,n,t)},Ax=function(r,n,t){return xYe(fx,vx,r,n,t)},sx=nfu(),bx=function(r,n,t){return xYe(sx,Ax,r,n,t)},lx=function(r,n,t){return xYe(fx,bx,r,n,t)},Bx=function(r,n,t){return xYe(ix,lx,r,n,t)},jx=Oou(r,n,ux);return[0,0,function(r,n,t){return xYe(jx,Bx,r,n,t)}]}if(xA===Eg){if(!f)break r;var kx=f[2];if(!kx)break r;if(kx[2])break r;var px=kx[1],dx=f[1],mx=hau(r),hx=Pou(r,n,BBt,px),xx=function(r,n,t){return xYe(hx,mx,r,n,t)},yx=Oou(r,n,dx);return[0,0,function(r,n,t){return xYe(yx,xx,r,n,t)}]}if(xA===mO){if(!f)break r;if(f[2])break r;var wx=f[1],gx=niu(vee,r),qx=Pou(r,n,bBt,wx);return[0,lBt,function(r,n,t){return xYe(qx,gx,r,n,t)}]}if(xA!==Vx){if(xA!==Nd)break r;if(!f)break r;if(f[2])break r;var Ix=function(r,n,t){return yYe(iBt,0,n,t)},Ex=Pou(r,n,cBt,f[1]);return[0,oBt,function(r,n,t){return xYe(Ex,Ix,r,n,t)}]}if(!f)break 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xYe(vy,oy,r,n,t)}]}if(xA===sp)break t;if(xA===EU)break n;if(xA===ts){if(f)break r;return Inu(r),[0,0,Anu(r)(qQt,gQt)]}if(xA!==$h){if(xA!==RI)break r;if(!f)break r;var Ay=f[2];if(!Ay)break r;var sy=Ay[2];if(!sy)break r;if(sy[2])break r;var by=sy[1],ly=Ay[1],By=f[1],jy=sfu(r),ky=Pou(r,n,0,by),py=function(r,n,t){return xYe(ky,jy,r,n,t)},dy=Pou(r,n,MBt,ly),my=function(r,n,t){return xYe(dy,py,r,n,t)},_y=Pou(r,n,0,By);return[0,bW,function(r,n,t){return xYe(_y,my,r,n,t)}]}if(!f)break r;if(f[2])break r;var hy=f[1],xy=ofu(r),yy=Pou(r,n,0,hy);return[0,RBt,function(r,n,t){return xYe(yy,xy,r,n,t)}]}if(0=wy){if(f)break r;var gy=Nau(r),qy=Ytu(r);return[0,0,function(r,n,t){return xYe(qy,gy,r,n,t)}]}if(xA===hq){if(f)break r;var Iy=Nau(r),Ey=Anu(r)(A1t,v1t);return[0,0,function(r,n,t){return xYe(Ey,Iy,r,n,t)}]}if(xA===Ls){if(f)break r;var Dy=Fau(r),$y=ltu(r);return[0,0,function(r,n,t){return xYe($y,Dy,r,n,t)}]}if(xA!==UK){if(xA!==Ro)break r;if(f)break r;if(vAe[1])throw vV([0,NC,HBt],1);var 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xYe(rw,Yy,r,n,t)},tw=Pou(r,n,0,Xy);return[0,bW,function(r,n,t){return xYe(tw,nw,r,n,t)}]}if(!f)break r;var ew=f[2];if(!ew)break r;var uw=ew[2];if(!uw)break r;if(uw[2])break r;var aw=uw[1],fw=ew[1],iw=f[1],cw=mfu(r),ow=Pou(r,n,[1,xA===c$?6:11],aw),vw=function(r,n,t){return xYe(ow,cw,r,n,t)},Aw=Pou(r,n,Ujt,fw),sw=function(r,n,t){return xYe(Aw,vw,r,n,t)},bw=Pou(r,n,0,iw);return[0,bW,function(r,n,t){return xYe(bw,sw,r,n,t)}]}if(!f)break r;var lw=f[2];if(!lw)break r;var Bw=lw[2];if(!Bw)break r;if(Bw[2])break r;var jw=Bw[1],kw=lw[1],pw=f[1],dw=xA===Fx?3:8,mw=lfu(r),_w=luu(dw),hw=function(r,n,t){return xYe(_w,mw,r,n,t)},xw=Pou(r,n,[2,dw],jw),yw=function(r,n,t){return xYe(xw,hw,r,n,t)},ww=Pou(r,n,Ejt,kw),qw=function(r,n,t){return xYe(ww,yw,r,n,t)},Iw=Pou(r,n,0,pw);return[0,bW,function(r,n,t){return xYe(Iw,qw,r,n,t)}]}}if(!f)break r;var Ew=f[2];if(!Ew)break r;if(Ew[2])break r;var Dw=Ew[1],$w=f[1],Tw=kfu(r),Nw=Pou(r,n,Tjt,Dw),Fw=function(r,n,t){return xYe(Nw,Tw,r,n,t)},Uw=Pou(r,n,0,$w);return[0,[2,xA===Xm?5:10],function(r,n,t){return xYe(Uw,Fw,r,n,t)}]}if(!f)break r;var Gw=f[2];if(!Gw)break r;if(Gw[2])break r;var Kw=Gw[1],Ow=f[1],Mw=dfu(r),Rw=Pou(r,n,Fjt,Kw),Vw=function(r,n,t){return xYe(Rw,Mw,r,n,t)},Lw=Pou(r,n,0,Ow);return[0,[1,xA===sp?6:11],function(r,n,t){return xYe(Lw,Vw,r,n,t)}]}if(!f)break r;var Hw=f[2];if(!Hw)break r;if(Hw[2])break r;var Qw=Hw[1],Cw=f[1],Sw=xA===EU?3:8,Zw=Buu(Sw),zw=bfu(r),Xw=function(r,n,t){return xYe(zw,Zw,r,n,t)},Jw=Pou(r,n,Ijt,Qw),Ww=function(r,n,t){return xYe(Jw,Xw,r,n,t)},rg=Pou(r,n,0,Cw);return[0,[2,Sw],function(r,n,t){return xYe(rg,Ww,r,n,t)}];case 23:if(!f)break r;if(f[2])break r;var ng=f[1],tg=a[1];if(1>>0)var eg=jnu(r,Hjt);else{var ug=fiu(r),fg=Giu[27].call(null,r,tg),ig=function(r,n,t){return xYe(fg,ug,r,n,t)},cg=Oou(r,n,ng);eg=function(r,n,t){return xYe(cg,ig,r,n,t)}}return[0,bW,eg];case 24:if(f)break r;var 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xYe(CI,QI,r,n,t)},ZI=aou(r,LI,piu(r));return[0,0,function(r,n,t){return xYe(ZI,SI,r,n,t)}];case 26:if(!f)break r;if(f[2])break r;var XI=a[1],WI=f[1],YI=function(r,n,t){return yYe(Sjt,0,n,t)},rE=Nnu(0,gH(Giu[18].call(null,r,[0,XI,0])[1])),nE=function(r,n,t){return yYe(2,0,n,xYe(rE,YI,r,n,t))},tE=Giu[20].call(null,r,XI),eE=function(r,n,t){return xYe(tE,nE,r,n,t)},aE=Oou(r,n,WI);return[0,Zjt,function(r,n,t){return xYe(aE,eE,r,n,t)}];default:break r}if(f&&!f[2])return i(0,Anu(r)(Xjt,zjt))}return[0,3,Znu(r,Jjt,Dze(a))]}}function Gou(r,n,t){return Kou(r,n,0,t)}function Pou(r,n,t,e){var u=Kou(r,n,[0,t],e),a=u[2],f=Xiu(r,u[1],t);return function(r,n,t){return xYe(a,f,r,n,t)}}function Kou(r,n,t,e){if(e[3][3]){var u=Zou(r,n,e),a=u[1];kC(u[2],r,n);var f=[0,[3,a],hYe]}else{var i=e[2];r:{switch(i[0]){case 0:var c=i[1],o=c[2],v=c[1];if(zY((function(r){return fxe(r[3][1])}),o))var A=function(r,n,t){return yYe(0,0,n,t)},s=wYe((function(t){var e=Gou(r,n,t),u=e[2],a=Siu(0,e[1]);return 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M=Xnu(r,Svt),R=M[2],V=M[1],L=Anu(r)(zvt,Zvt),H=Nnu(0,a0e[2]),Q=function(r,n,t){return xYe(H,L,r,n,t)},C=function(r,n,t){return xYe(R,Q,r,n,t)},S=a0e[6],Z=function(r,n,t){return xYe(V,R,r,n,t)},z=Qau(r,K[3][1],O),X=function(r,n,t){return xYe(z,Z,r,n,t)},J=Oou(r,n,K),W=[0,function(r,n,t){return xYe(J,X,r,n,t)},0,function(r,n,t){return xYe(S,C,r,n,t)}];break t}}else if(4<=k&&ocu(Hau(0,K[3][1],O))){var Y=Eeu(r),rr=Nnu(0,a0e[2]),nr=Qau(r,K[3][1],O),tr=function(r,n,t){return xYe(nr,rr,r,n,t)},er=Oou(r,n,K);W=[0,function(r,n,t){return xYe(er,tr,r,n,t)},0,Y];break t}var ur=a0e[6],ar=Qau(r,K[3][1],j[2]),fr=Oou(r,n,K),ir=[0,function(r,n,t){return xYe(fr,ar,r,n,t)},0,ur];break n}ir=W}d=ir}var cr=d[3],or=B[1],vr=d[1],Ar=B[1],sr=function(r,n,t){return IYe(or,cr,r,0,t)},br=Pou(r,n,d[2],p);l=[0,bW,function(r,n,t){return function(r,n,t){return IYe(Ar,vr,r,0,t)}(r,0,function(r,n,t){return xYe(br,sr,r,n,t)}(r,n,t))}];break r;case 4:var lr=i[1],Br=lr[2],jr=lr[1],kr=Sou(r,n,jr,SCe(rSe(Br))),pr=kr[2],dr=Kou(r,kr[1],t,Br);l=[0,dr[1],pr(dr[2])];break r;case 5:var mr=i[3],_r=i[2],hr=Mou(r,n,i[1]),xr=Kou(r,n,t,_r),yr=xr[1],wr=xr[2],gr=Kou(r,n,t,mr),qr=gr[1],Ir=gr[2],Er=t?t[1]:Ciu(yr,qr),Dr=Xiu(r,qr,Er),$r=Xiu(r,yr,Er),Tr=Hiu(0,Er),Nr=etu(r,Tr),Fr=ttu(r,Tr),Ur=ttu(r,Tr),Gr=lnu(r,rtu(Tr),(function(r,n,t){return xYe(wr,$r,r,n,pC(Ur,r,n,t))}),(function(r,n,t){return xYe(Ir,Dr,r,n,pC(Fr,r,n,t))})),Pr=function(r,n,t){return xYe(Gr,Nr,r,n,t)};l=[0,Er,function(r,n,t){return xYe(hr,Pr,r,n,t)}];break r;case 6:var Kr=i[1],Or=i[2],Mr=Kr[3][1];n:{t:if(Or){var Rr=Or[1][2][1][2];if("number"!=typeof Rr&&5===Rr[0]){var Vr=Rr[1];if(Or[2])break t;if("number"!=typeof Mr&&4===Mr[0]){var Lr=Mr[1];if(!Lr)break t;if(Lr[2])break t;var Hr=Vr===Lr[1][1]?1:0;break n}break t}}Hr=0}n:{if(Hr){t:{var Qr=Oou(r,n,Kr);if(Or){var Cr=Or[1][2],Sr=Cr[1],Zr=Sr[2];if("number"!=typeof Zr&&5===Zr[0]){var zr=Zr[2],Xr=Cr[2];if(Or[2])break t;var Jr=Hou(r,n,[0,Sr[1],[5,rW,zr],Sr[3]]),Wr=Jr[2],Yr=Kou(r,Jr[1],t,Xr),rn=Yr[1],nn=Yr[2],tn=t?t[1]:rn,en=[0,tn,utu(r,Hiu(0,tn),(function(n){var t=gcu(Wr)([0,nn]);function e(r,n,t){return yYe(0,0,n,t)}var u=Dcu(r,GY((function(t){var e=t[2],u=Xiu(r,t[1],tn);return gcu(e)([0,function(r,t,e){return xYe(u,n,r,t,e)}])}),[0,[0,rn,gcu([0,Qr])(t)],0]));return function(r,n,t){return xYe(u,e,r,n,t)}}))];break n}}}throw vV([0,$C,Wjt],1)}var un=i[2],an=Oou(r,n,Kr),fn=Xnu(r,Yjt),cn=Kr[3][1];t:{e:{var on=fn[2],vn=fn[1];if(un){var An=un[1],sn=An[2][1][2];if("number"!=typeof sn&&5===sn[0]){var bn=sn[1],ln=un[2],Bn=sn[2];if(!ln)break e;var jn=ln[1],kn=jn[2],pn=kn[1],dn=pn[2];if("number"!=typeof dn&&5===dn[0]){var mn=dn[1],_n=dn[2],hn=kn[2];if(ln[2])break e;if("number"!=typeof cn&&4===cn[0]){var xn=cn[1];if(!xn)break e;var yn=xn[2];if(!yn)break e;if(yn[2])break e;var wn=yn[1][1],gn=xn[1][1];u:if(_ze(Bn)){if(bn!==gn&&bn!==wn)break u;if(mn!==gn&&mn!==wn)break u;var qn=[0,An,[0,[0,jn[1],[0,[0,pn[1],[5,rW,_n],pn[3]],hn],jn[3]],0]];break t}break e}break e}break e}}}qn=un}var In=GY((function(e){var u=e[2],a=u[2],f=Hou(r,n,u[1]),i=f[2],c=Kou(r,f[1],t,a),o=c[1],v=[0,c[2]],A=gcu(i)(v);return[0,o,gcu([0,on])(A)]}),qn),En=t?t[1]:VY(Ciu,3,GY((function(r){return r[1]}),In)),Dn=utu(r,Hiu(0,En),(function(n){function t(r,n,t){return yYe(0,0,n,t)}var e=Dcu(r,GY((function(t){var e=t[2],u=Xiu(r,t[1],En);return gcu(e)([0,function(r,t,e){return xYe(u,n,r,t,e)}])}),In));return function(r,n,u){return xYe(e,t,r,n,u)}})),$n=function(r,n,t){return xYe(vn,Dn,r,n,t)};en=[0,En,function(r,n,t){return xYe(an,$n,r,n,t)}]}l=en;break r;case 7:var Tn=[3,[0,ose,0]],Nn=function(r,n,t){return yYe(Tn,0,n,t)},Fn=Pou(r,[0,1,n[2],n[3]],bW,i[1]),Un=function(r,n,t){return xYe(Fn,Nn,r,n,t)};l=[0,3,function(r,n,t){return TYe(Un,r,n,yYe(0,0,n,t))}];break r;case 8:var Gn=i[3],Pn=i[1],Kn=FYe((function(t){var e=Wiu[4].call(null,Pn,t,n[3]);return Oou(r,[0,n[1],n[2],e],Gn)}));l=[0,0,Bnu(r,Hiu(0,0),Kn)];break r;case 10:var On=i[3],Mn=ecu(r,n,i[1],i[2]),Rn=Mn[2],Vn=Gou(r,Mn[1],On),Ln=Vn[2],Hn=[9,[0,ose,Rn]],Qn=Vn[1],Cn=function(r,n,t){return yYe(Hn,0,n,Ln(r,n,t))},Sn=Neu(r);l=[0,Qn,function(r,n,t){return xYe(Sn,Cn,r,n,t)}];break r;case 11:var Zn=i[3],zn=vcu(r,n,i[1]),Xn=zn[3],Jn=zn[1],Wn=Pou(r,n,zn[2],Zn),Yn=function(r,n,t){return xYe(Wn,Xn,r,n,t)};l=[0,bW,function(r,n,t){return xYe(Jn,Yn,r,n,t)}];break r;case 12:var rt=i[3],nt=i[7],tt=i[6],et=i[5],ut=i[2],at=i[1],ft=fSe(e);switch(rt){case 0:var it=tt;break;case 1:throw vV([0,NC,rkt],1);default:it=0}var ct=IY(it);l=mcu(r,n,at,ut,rt,ft,et,(function(r,n){return Pou(r,n,Viu(ct),nt)}),it,e[1]);break r;case 13:var ot=i[2],vt=i[5],At=i[4],st=i[3],bt=i[1],lt=Xnu(r,nkt),Bt=lt[2],jt=lt[1],kt=Xnu(r,tkt),pt=kt[2],dt=kt[1],mt=Xnu(r,ekt),_t=mt[2],ht=mt[1],xt=Xnu(r,ukt),yt=xt[2],wt=xt[1],gt=fSe(ot),qt=bcu(0,n,fW),It=iiu(r,xS),Et=uiu(r),Dt=ycu(r,uyt,(function(r,n,t){return xYe(Et,It,r,n,t)}),hcu(r,bt)([0,pt,[0,_t,[0,yt,[0,Bt,0]]]]),(function(n){var t=Giu[27].call(null,r,[0,bS,0]),e=auu(r,5);function u(r,n,u){return xYe(e,t,r,n,u)}return function(r,t,e){return xYe(n,u,r,t,e)}}),qt),$t=function(r,n,t){return xYe(wt,Dt,r,n,t)},Tt=Oou(r,n,vt),Nt=function(r,n,t){return xYe(Tt,$t,r,n,t)},Ft=function(r,n,t){return xYe(ht,Nt,r,n,t)},Ut=Oou(r,n,At),Gt=function(r,n,t){return xYe(Ut,Ft,r,n,t)},Pt=function(r,n,t){return xYe(dt,Gt,r,n,t)},Kt=Oou(r,n,st),Ot=function(r,n,t){return xYe(Kt,Pt,r,n,t)},Mt=_eu(),Rt=mcu(r,n,yyt,0,0,gt,0,(function(r,n){return Pou(r,n,bW,ot)}),0,e[1]),Vt=Rt[2],Lt=Xiu(r,Rt[1],0),Ht=function(r,n,t){return xYe(jt,Ot,r,n,t)};l=[0,bW,function(r,n,t){return xYe(Vt,Lt,r,n,xYe(Mt,Ht,r,n,t))}];break r;case 14:l=LYe(akt);break r;case 15:if(1>>0){l=[0,0,Vau(r,GY((function(t){return[0,t[2][1],function(e){if(!jxe(t[3])){var u=scu(r,n,t[2][2]),a=u[2],f=Xiu(r,u[1],0);return function(r,n,t){return xYe(a,f,r,n,t)}}var i=tcu(n,t[2][2]);if(i){var c=i[1];switch(c[0]){case 1:var o=[8,[0,ose,c[1]]];return function(r,n,t){return yYe(o,0,n,t)};case 2:return Enu(c[1])}}throw vV([0,NC,Kyt],1)}]}),i[2]))];break r}}l=[0,bW,Znu(r,fkt,wze(e))]}f=l}var Qt=f[2],Ct=e[1];return[0,f[1],function(r,n,t){return IYe(Ct,Qt,r,0,t)}]}function Oou(r,n,t){return Pou(r,n,0,t)}function Mou(r,n,t){var e=Gou(r,n,t),u=e[1],a=e[2],f=0!==u?Xiu(r,u,0):hYe;return function(r,n,t){return xYe(a,f,r,n,t)}}function Rou(r,n,t,e){var u=Anu(r)(ikt,e);function a(r,n,t){return xYe(u,huu,r,n,t)}var f=_uu();function i(r,n,t){return xYe(f,a,r,n,t)}var c=Pou(r,n,ckt,t);return[0,okt,function(r,n,t){return xYe(c,i,r,n,t)}]}function Vou(r,n,t,e){var u=Anu(r)(vkt,e),a=_uu();function f(r,n,t){return xYe(a,u,r,n,t)}var i=Pou(r,n,Akt,t);return[0,0,function(r,n,t){return xYe(i,f,r,n,t)}]}function Lou(r,n,t){var e=t[2];if(hze(t))var u=[0,function(r,n,t){return yYe(2,0,n,t)}];else{if("number"==typeof e)throw vV([0,NC,Ikt],1);switch(e[0]){case 0:u=[0,Acu(r,n,e[1])];break;case 1:var a=e[1];u=[1,function(n){function t(r,t,e){return EYe(oJ,hYe,n,r,t,e)}if("number"==typeof a)var e=function(r,n,t){return yYe(skt,0,n,t)},u=Bou(r,0,a),f=function(r,n,t){return xYe(u,e,r,n,t)};else switch(a[0]){case 0:f=a[1]?hYe:function(r,n,t){return yYe(bkt,0,n,t)};break;case 2:var i=$ou(r)(lkt),c=Bou(r,0,a);f=function(r,n,t){return xYe(c,i,r,n,t)};break;case 3:var o=$ou(r)(Bkt),v=Bou(r,0,a);f=function(r,n,t){return xYe(v,o,r,n,t)};break;case 4:var A=$ou(r)(bS),s=Bou(r,jkt,a),b=function(r,n,t){return xYe(s,A,r,n,t)},l=fuu(r,5);f=function(r,n,t){return xYe(l,b,r,n,t)};break;case 5:var B=$ou(r)(kkt),j=Bou(r,pkt,a),k=function(r,n,t){return xYe(j,B,r,n,t)},p=Weu(r,6);f=function(r,n,t){return xYe(p,k,r,n,t)};break;case 7:var d=$ou(r)(dkt),m=Bou(r,0,a);f=function(r,n,t){return xYe(m,d,r,n,t)};break;case 8:var _=$ou(r)(mkt),h=Bou(r,0,a);f=function(r,n,t){return xYe(h,_,r,n,t)};break;case 9:var x=$ou(r)(_kt),y=Bou(r,hkt,a),w=function(r,n,t){return xYe(y,x,r,n,t)},g=fuu(r,10);f=function(r,n,t){return xYe(g,w,r,n,t)};break;case 10:var q=$ou(r)(xkt),I=Bou(r,ykt,a),E=function(r,n,t){return xYe(I,q,r,n,t)},D=Weu(r,11);f=function(r,n,t){return xYe(D,E,r,n,t)};break;case 13:var $=$ou(r)(wkt),T=Bou(r,0,a);f=function(r,n,t){return xYe(T,$,r,n,t)};break;case 14:var N=gfu(r,0),F=Bou(r,0,a);f=function(r,n,t){return xYe(F,N,r,n,t)};break;case 15:var U=afu(r,gkt),G=Bou(r,0,a);f=function(r,n,t){return xYe(G,U,r,n,t)};break;case 1:case 6:var P=wau(r),K=Bou(r,0,a);f=function(r,n,t){return xYe(K,P,r,n,t)};break;default:f=Znu(r,qkt,Nze(a))}return function(r,n,e){return xYe(f,t,r,n,e)}}];break;case 2:var f=e[1],i=Xnu(r,Ekt),c=i[2],o=function(t,e){if(!e)return[0,hYe];var u=e[2],a=Lou(r,n,e[1]),f=o(t+1|0,u),i=gcu(a)(f),v=Rfu(0,t);return gcu([0,function(r,n,t){return xYe(c,v,r,n,t)}])(i)},v=i[1],A=o(0,f);u=gcu([0,v])(A);break;case 3:var s=e[1],b=t[3],l=Xnu(r,Dkt),B=l[2],j=function(t){if(!t)return[0,hYe];var 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All names here are prefixed with `@`, so they are invisible from user\ncode, and cannot be shadowed.\n*/\n\ntype @Iter = { next : () -> ?T_ };\n\nvar @cycles : Nat = 0;\nvar @timeout : ?Nat32 = null;\n\n// Function called by backend to add funds to call.\n// DO NOT RENAME without modifying compilation.\nfunc @add_cycles() {\n let cycles = @cycles;\n @reset_cycles();\n if (cycles != 0) {\n (prim "cyclesAdd" : Nat -> ()) cycles;\n };\n switch @timeout {\n case (?timeout) {\n @timeout := null;\n (prim "timeoutSet" : Nat32 -> ()) timeout;\n };\n case null ();\n };\n};\n\n// Function called by backend to zero cycles on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_cycles() {\n @cycles := 0;\n};\n\n// The @ in the name ensures that this cannot be shadowed by user code, so\n// compiler passes can rely on them being in scope\n\n// Implementations for overloaded dot operations\n// Note that these return functions!\n// (Some optimizations in the backend might be feasible.)\n\nfunc @immut_array_get(xs : [A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @mut_array_get(xs : [var A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @immut_array_size(xs : [A]) : () -> Nat = func() : Nat = (prim "array_len" : [A] -> Nat) xs;\nfunc @mut_array_size(xs : [var A]) : () -> Nat = func() : Nat = (prim "array_len" : [var A] -> Nat) xs;\nfunc @mut_array_put(xs : [var A]) : (Nat, A) -> () = func(n : Nat, x : A) = (xs[n] := x);\nfunc @immut_array_keys(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @mut_array_keys(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @immut_array_vals(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @mut_array_vals(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @blob_size(b : Blob) : () -> Nat = func() : Nat = (prim "blob_size" : Blob -> Nat) b;\nfunc @blob_keys(b : Blob) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = (prim "blob_size" : Blob -> Nat) b;\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @blob_get(b : Blob) : Nat -> Nat8 = func(n : Nat) : Nat8 = b[n];\nfunc @blob_vals(xs : Blob) : () -> @Iter = func() : @Iter = object {\n type BlobIter = Any; // not exposed\n let i = (prim "blob_vals_iter" : Blob -> BlobIter) xs;\n public func next() : ?Nat8 {\n if ((prim "blob_iter_done" : BlobIter -> Bool) i) null else ?((prim "blob_iter_next" : BlobIter -> Nat8) i);\n };\n};\nfunc @text_size(xs : Text) : () -> Nat = func() : Nat = (prim "text_len" : Text -> Nat) xs;\nfunc @text_chars(xs : Text) : () -> @Iter = func() : @Iter = object {\n type TextIter = Any; // not exposed\n let i = (prim "text_iter" : Text -> TextIter) xs;\n public func next() : ?Char {\n if ((prim "text_iter_done" : TextIter -> Bool) i) null else ?((prim "text_iter_next" : TextIter -> Char) i);\n };\n};\n\n// Internal helper functions for the show translation\n\n// The text_of functions do not need to be exposed; the user can just use\n// the show above.\n\nfunc @text_of_num(x : Nat, base : Nat, sep : Nat, digits : Nat -> Text) : Text {\n var text = "";\n var n = x;\n\n if (n == 0) return "0";\n\n var i = 0;\n while (n > 0) {\n let rem = n % base;\n if (sep > 0 and i == sep) { text := "_" # text; i := 0 };\n text := digits rem # text;\n n := n / base;\n i += 1;\n };\n text;\n};\n\nfunc @left_pad(pad : Nat, char : Text, t : Text) : Text {\n if (pad > t.size()) {\n var i : Nat = pad - t.size();\n var text = t;\n while (i > 0) {\n text := char # text;\n i -= 1;\n };\n text;\n } else {\n t;\n };\n};\n\nfunc @digits_dec(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + 0x30)));\n\nfunc @text_of_Nat(x : Nat) : Text {\n @text_of_num(x, 10, 3, @digits_dec);\n};\n\nfunc @text_of_Int(x : Int) : Text {\n if (x == 0) "0" else (if (x < 0) "-" else "+") #\n @text_of_Nat((prim "abs" : Int -> Nat) x);\n};\n\nfunc @digits_hex(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + (if (x < 10) 0x30 else 55))));\n\n// There is some duplication with the prim_module, but we need these here\n// before we can load the prim module\nfunc @int64ToInt(n : Int64) : Int = (prim "num_conv_Int64_Int" : Int64 -> Int) n;\nfunc @int32ToInt(n : Int32) : Int = (prim "num_conv_Int32_Int" : Int32 -> Int) n;\nfunc @int16ToInt(n : Int16) : Int = (prim "num_conv_Int16_Int" : Int16 -> Int) n;\nfunc @int8ToInt(n : Int8) : Int = (prim "num_conv_Int8_Int" : Int8 -> Int) n;\nfunc @nat64ToNat(n : Nat64) : Nat = (prim "num_conv_Nat64_Nat" : Nat64 -> Nat) n;\nfunc @nat32ToNat(n : Nat32) : Nat = (prim "num_conv_Nat32_Nat" : Nat32 -> Nat) n;\nfunc @nat16ToNat(n : Nat16) : Nat = (prim "num_conv_Nat16_Nat" : Nat16 -> Nat) n;\nfunc @nat8ToNat(n : Nat8) : Nat = (prim "num_conv_Nat8_Nat" : Nat8 -> Nat) n;\n\nfunc @text_of_Nat8(x : Nat8) : Text = @text_of_Nat(@nat8ToNat x);\nfunc @text_of_Nat16(x : Nat16) : Text = @text_of_Nat(@nat16ToNat x);\nfunc @text_of_Nat32(x : Nat32) : Text = @text_of_Nat(@nat32ToNat x);\nfunc @text_of_Nat64(x : Nat64) : Text = @text_of_Nat(@nat64ToNat x);\nfunc @text_of_Int8(x : Int8) : Text = @text_of_Int(@int8ToInt x);\nfunc @text_of_Int16(x : Int16) : Text = @text_of_Int(@int16ToInt x);\nfunc @text_of_Int32(x : Int32) : Text = @text_of_Int(@int32ToInt x);\nfunc @text_of_Int64(x : Int64) : Text = @text_of_Int(@int64ToInt x);\nfunc @text_of_Float(x : Float) : Text = (prim "Float->Text" : Float -> Text) x;\nfunc @text_of_Float32(x : Float32) : Text = (prim "Float32->Text" : Float32 -> Text) x;\n\nfunc @text_of_Bool(b : Bool) : Text {\n if (b) "true" else "false";\n};\n\nfunc @text_of_Text(t : Text) : Text {\n // TODO: Escape properly\n "\\"" # t # "\\"";\n};\n\nfunc @text_of_Char(c : Char) : Text {\n // TODO: Escape properly\n "\\\'" # (prim "conv_Char_Text" : Char -> Text) c # "\\\'";\n};\n\nfunc @text_of_Blob(blob : Blob) : Text {\n var t = "\\"";\n for (b in blob.values()) {\n // Could do more clever escaping, e.g. leave ascii and utf8 in place\n t #= "\\\\" # @left_pad(2, "0", @text_of_num(@nat8ToNat b, 16, 0, @digits_hex));\n };\n t #= "\\"";\n return t;\n};\n\nfunc @text_has_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?\'(\') true;\n case _ false;\n };\n};\n\nfunc @text_needs_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?(\'+\' or \'-\' or \'?\' or \'#\')) true;\n case _ false;\n };\n};\n\nfunc @text_of_option(f : T -> Text, x : ?T) : Text {\n switch (x) {\n case (?y) {\n let fy = f y;\n if (@text_needs_parens(fy)) "?(" # fy # ")" else "?" # fy;\n };\n case null { "null" };\n };\n};\n\nfunc @text_of_variant(l : Text, f : T -> Text, x : T) : Text {\n let fx = f x;\n if (fx == "()") "#" # l else if (@text_has_parens(fx)) "#" # l # fx else "#" # l # "(" # fx # ")";\n};\n\nfunc @text_of_array(f : T -> Text, xs : [T]) : Text {\n var text = "[";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @text_of_array_mut(f : T -> Text, xs : [var T]) : Text {\n var text = "[var";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n text #= " ";\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @equal_array(eq : (T, T) -> Bool, a : [T], b : [T]) : Bool {\n if (a.size() != b.size()) {\n return false;\n };\n var i = 0;\n let s = a.size();\n while (i < s) {\n if (not eq(a[i], b[i])) {\n return false;\n };\n i += 1;\n };\n return true;\n};\n\ntype @CleanCont = () -> ();\ntype @BailCont = @CleanCont;\ntype @Cont = T -> ();\ntype @Async = (@Cont, @Cont, @BailCont) -> {\n #suspend;\n #schedule : () -> ();\n};\n\ntype @Refund = Nat;\ntype @Result = { #ok : (refund : @Refund, value : T); #error : Error };\n\ntype @Waiter = (@Refund, T) -> ();\n\nvar @refund : @Refund = 0;\n\n// Function called by backend to zero refunds on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_refund() {\n @refund := 0;\n};\n\nfunc @getSystemRefund() : @Refund {\n return (prim "cyclesRefunded" : () -> Nat)();\n};\n\n// trivial cleanup action\nfunc @cleanup() {};\n\nfunc @new_async() : (@Async, @Cont, @Cont, @CleanCont) {\n let w_null = func(r : @Refund, t : T) {};\n let r_null = func(_ : Error) {};\n var result : ?(@Result) = null;\n var ws : @Waiter = w_null;\n var rs : @Cont = r_null;\n let getRefund = @cycles != 0;\n\n func fulfill(t : T) {\n switch result {\n case null {\n let refund = if getRefund @getSystemRefund() else 0;\n result := ?(#ok(refund, t));\n let ws_ = ws;\n ws := w_null;\n rs := r_null;\n ws_(refund, t);\n };\n case (?_) { assert false };\n };\n };\n\n func fail(e : Error) {\n switch result {\n case null {\n result := ?(#error e);\n let rs_ = rs;\n ws := w_null;\n rs := r_null;\n rs_(e);\n };\n case (?_) { assert false };\n };\n };\n\n var cleanup : @BailCont = @cleanup;\n\n func enqueue(k : @Cont, r : @Cont, b : @BailCont) : {\n #suspend;\n #schedule : () -> ();\n } {\n cleanup := b;\n switch result {\n case null {\n let ws_ = ws;\n ws := func(r : @Refund, t : T) {\n ws_(r, t);\n @reset_cycles();\n @refund := r;\n k(t);\n };\n let rs_ = rs;\n rs := func(e : Error) {\n rs_(e);\n @reset_cycles();\n @reset_refund();\n r(e);\n };\n #suspend;\n };\n case (?#ok(r, t)) {\n #schedule(func() { @refund := r; k(t) });\n };\n case (?#error e) {\n #schedule(func _ = r(e));\n };\n };\n };\n\n (enqueue, fulfill, fail, func() = cleanup());\n};\n\n// Subset of IC management canister interface required for our use\nmodule @ManagementCanister = {\n public type wasm_module = Blob;\n public type canister_settings = {\n controllers : ?[Principal];\n compute_allocation : ?Nat;\n memory_allocation : ?Nat;\n freezing_threshold : ?Nat;\n };\n};\n\ntype @WasmMemoryPersistence = {\n #keep;\n #replace;\n};\n\ntype @UpgradeOptions = {\n wasm_memory_persistence : ?@WasmMemoryPersistence;\n};\n\nlet @ic00 = actor "aaaaa-aa" : actor {\n create_canister : {\n settings : ?@ManagementCanister.canister_settings;\n sender_canister_version : ?Nat64;\n } -> async { canister_id : Principal };\n install_code : {\n mode : {\n #install;\n #reinstall;\n #upgrade : ?@UpgradeOptions;\n };\n canister_id : Principal;\n wasm_module : @ManagementCanister.wasm_module;\n arg : Blob;\n sender_canister_version : ?Nat64;\n } -> async ();\n};\n\nfunc @install_actor_helper(\n install_arg : {\n #new : { settings : ?@ManagementCanister.canister_settings };\n #install : Principal;\n #reinstall : actor {};\n #upgrade : actor {};\n #upgrade_with_persistence : {\n wasm_memory_persistence : @WasmMemoryPersistence;\n canister : actor {};\n };\n },\n enhanced_orthogonal_persistence : Bool,\n wasm_module : Blob,\n arg : Blob,\n) : async* Principal = async* {\n let (mode, canister_id) = switch install_arg {\n case (#new settings) {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat) available;\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings with sender_canister_version;\n };\n (#install, canister_id);\n };\n case (#install principal1) { (#install, principal1) };\n case (#reinstall actor1) {\n (#reinstall, (prim "principalOfActor" : (actor {}) -> Principal) actor1);\n };\n case (#upgrade actor2) {\n let wasm_memory_persistence = if enhanced_orthogonal_persistence {\n ?(#keep);\n } else {\n null;\n };\n let upgradeOptions = {\n wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) actor2);\n };\n case (#upgrade_with_persistence { wasm_memory_persistence; canister }) {\n let upgradeOptions = {\n wasm_memory_persistence = ?wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) canister);\n };\n };\n await @ic00.install_code {\n mode;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// It would be desirable if create_actor_helper can be defined\n// without paying the extra self-remote-call-cost\n// TODO: This helper is now only used by Prim.createActor and could be removed, except\n// that Prim.createActor was mentioned on the forum and might be in use. (#3420)\nfunc @create_actor_helper(wasm_module : Blob, arg : Blob) : async Principal = async {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat)(available);\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings = null;\n sender_canister_version;\n };\n await @ic00.install_code {\n mode = #install;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// raw calls\nfunc @call_raw(p : Principal, m : Text, a : Blob) : async Blob {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n if (available != 0) {\n @cycles := (prim "cyclesAccept" : Nat -> Nat) available;\n };\n await (prim "call_raw" : (Principal, Text, Blob) -> async Blob)(p, m, a);\n};\n\n// helpers for reifying ic0.call_perform failures as errors\nfunc @call_succeeded() : Bool {\n (prim "call_perform_status" : () -> Nat32)() == 0;\n};\n\nfunc @call_error() : Error {\n let status = (prim "call_perform_status" : () -> Nat32)();\n let message = (prim "call_perform_message" : () -> Text)();\n let code = #call_error({ err_code = status });\n (prim "cast" : ({ #call_error : { err_code : Nat32 } }, Text) -> Error)(code, message);\n};\n\n// default timer mechanism implementation\n// fundamental node invariant: max_exp pre <= expire <= min_exp post\n// corollary: if expire == 0 then the pre is completely expired\n//\n// Note: Below the `expire` field is an encoding of an aliased mutable field with\n// a single-element mutable array. It eliminates `--experimental-field-aliasing`\n// while compiling this file at the cost of slightly higher syntactic noise\n// as well as increased allocation and runtime cost accessing the data. Oh well.\n//\ntype @Node = {\n expire : [var Nat64];\n id : Nat;\n delay : ?Nat64;\n job : () -> async ();\n pre : ?@Node;\n post : ?@Node;\n};\n\nvar @timers : ?@Node = null;\n\nfunc @prune(n : ?@Node) : ?@Node = switch n {\n case null null;\n case (?n) {\n if (n.expire[0] == 0) {\n @prune(n.post) // by corollary\n } else {\n ?{ n with pre = @prune(n.pre) };\n };\n };\n};\n\nfunc @nextExpiration(n : ?@Node) : Nat64 = switch n {\n case null 0;\n case (?n) {\n let pivot = n.expire[0];\n if (pivot == 0) return @nextExpiration(n.post);\n let exp = @nextExpiration(n.pre);\n if (exp == 0) pivot else exp;\n };\n};\n\n// Function called by backend to run eligible timed actions.\n// DO NOT RENAME without modifying compilation.\nfunc @timer_helper() : async () {\n func Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n };\n\n let now = (prim "time" : () -> Nat64)();\n\n var gathered = 0;\n let thunks = Array_init async ())>(10, null); // we want max 10\n\n func gatherExpired(n : ?@Node) = switch n {\n case null ();\n case (?n) {\n let pivot = n.expire[0];\n if (pivot > 0) gatherExpired(n.pre); // by corollary\n if (pivot <= now and gathered < thunks.size()) {\n if (pivot > 0) {\n // not expunged yet\n thunks[gathered] := ?(n.job);\n switch (n.delay) {\n case (null or ?0) n.expire[0] := 0;\n case (?delay) {\n // re-add the node, skipping past expirations\n let expire = pivot + delay * (1 + (now - pivot) / delay);\n n.expire[0] := 0;\n // N.B. reinsert only works on pruned nodes\n func reinsert(m : ?@Node) : @Node = switch m {\n case null ({\n n with expire = [var expire];\n pre = null;\n post = null;\n });\n case (?m) {\n assert m.expire[0] != 0;\n if (expire < m.expire[0]) ({ m with pre = ?reinsert(m.pre) }) else ({\n m with post = ?reinsert(m.post)\n });\n };\n };\n @timers := ?reinsert(@prune(@timers));\n };\n };\n gathered += 1;\n };\n gatherExpired(n.post);\n };\n };\n };\n\n gatherExpired(@timers);\n\n let exp = @nextExpiration @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n if (exp == 0) @timers := null;\n\n var failed : Nat64 = 0;\n func reinsert(job : () -> async ()) {\n if (failed == 0) {\n @timers := @prune @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 1;\n };\n failed += 1;\n @timers := ?(\n switch @timers {\n case (?{ id = 0; pre; post; job = j; expire; delay })\n // push top node\'s contents into pre\n ({\n expire = [var failed];\n id = 0;\n delay;\n job;\n post;\n pre = ?{ id = 0; expire; pre; post = null; delay; job = j };\n });\n case _ ({\n expire = [var failed];\n id = 0;\n delay = null;\n job;\n pre = null;\n post = @timers;\n });\n }\n );\n };\n\n for (o in thunks.values()) {\n switch o {\n case (?thunk) try ignore thunk() catch _ reinsert thunk;\n case _ return;\n };\n };\n};\n\nvar @lastTimerId = 0;\n\nfunc @setTimer(delayNanos : Nat64, recurring : Bool, job : () -> async ()) : (id : Nat) {\n @lastTimerId += 1;\n let id = @lastTimerId;\n let now = (prim "time" : () -> Nat64)();\n let expire = now + delayNanos;\n let delay = if recurring ?delayNanos else null;\n // only works on pruned nodes\n func insert(n : ?@Node) : @Node = switch n {\n case null ({\n expire = [var expire];\n id;\n delay;\n job;\n pre = null;\n post = null;\n });\n case (?n) {\n assert n.expire[0] != 0;\n if (expire < n.expire[0]) ({ n with pre = ?insert(n.pre) }) else ({\n n with post = ?insert(n.post)\n });\n };\n };\n @timers := ?insert(@prune(@timers));\n\n let exp = @nextExpiration @timers;\n if (exp == 0) @timers := null;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n\n id;\n};\n\nfunc @cancelTimer(id : Nat) {\n func graft(onto : ?@Node, branch : ?@Node) : ?@Node = switch (onto, branch) {\n case (null, null) null;\n case (null, _) branch;\n case (_, null) onto;\n case (?onto, _) { ?{ onto with post = graft(onto.post, branch) } };\n };\n\n func hunt(n : ?@Node) : ?@Node = switch n {\n case null n;\n case (?{ id = node; pre; post }) {\n if (node == id) {\n graft(pre, post);\n } else do ? { { n! with pre = hunt pre; post = hunt post } };\n };\n };\n\n @timers := hunt @timers;\n\n if (@nextExpiration @timers == 0) {\n // no more expirations ahead\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 0;\n @timers := null;\n };\n};\n\nfunc @set_global_timer(time : Nat64) = ignore (prim "global_timer_set" : Nat64 -> Nat64) time;\n\n// Function that deduplicates a blob.\nfunc @dedup(b : Blob) : Blob {\n // WeakRef type.\n type WeakRef = {\n ref : weak Blob;\n };\n // A linked list of WeakRefs.\n type List = {\n var next : ?List;\n value : ?WeakRef;\n originalBlob : Blob;\n index : Nat;\n };\n func Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n };\n func Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n };\n let HASH_ARRAY_SIZE = 16_384;\n // Debug print. 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Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\n\n // Helper functions for the hash array.\n //\n //\n func addToList(list : List, originalBlob : Blob, weakRef : WeakRef) : List {\n let newList = {\n var next = ?list;\n value = ?weakRef;\n originalBlob = originalBlob;\n index = list.index + 1;\n };\n newList;\n };\n\n func getFromList(list : List, originalBlob : Blob) : ?WeakRef {\n var copy = list;\n loop {\n if (blobCompare(copy.originalBlob, originalBlob) == 0) {\n return copy.value;\n } else {\n let next = copy.next;\n switch next {\n case null { return null };\n case (?next) { copy := next };\n };\n };\n };\n };\n\n func getListLen(list : List) : Nat {\n list.index;\n };\n\n func getHashArrayLen(hashArray : [var List]) : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n len += getListLen(hashArray[i]);\n i += 1;\n };\n len;\n };\n\n func addToHashArray(hashArray : [var List], b : Blob) {\n let hashValue = hashBlob(b);\n let index 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the dedup table from the RTS.\n let ptr = getDedupTable();\n let hashArray = switch ptr {\n case (?dedupTable) {\n dedupTable;\n };\n case null {\n // This means that the dedup table was not yet created.\n let arr = Array_tabulateVar(HASH_ARRAY_SIZE, func(i : Nat) : List = { var next = null; value = null; originalBlob = ""; index = 0 });\n // We need to set it via the RTS so that it is persisted.\n setDedupTable(arr);\n arr;\n };\n };\n\n // Get the WeakRef from the hash table.\n let dedupedBlobWeakRef = getFromHashArray(hashArray, b);\n let result = switch dedupedBlobWeakRef {\n case (?weakRef) {\n // It was in the hash so we dereference the WeakRef.\n let derefed = weakGet(weakRef.ref);\n switch derefed {\n case (?derefed) { derefed };\n case null {\n // This will only happen if the blob was deallocated by the GC.\n // We put it back in the hash table so that it can be deduplicated again.\n addToHashArray(hashArray, b);\n b;\n };\n };\n };\n // It wasn\'t in the hash so we put it 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ApF\r\t@@@@@@@@ Aj\0\0\0\0\0\0\0\0\0\0\0\0\0\0\v Aj\n\v\v Aj\v AmG\r\r \0      \b׀€€\0 \bB|׀€€\0ހ€€\0\r\f\r\v AjG\r\f \bր€€\0! \bB|ր€€\0! \b)!\f \b)\0!\r E\r\nA! As!@ \r \b)\b"\vZ\rA\0!B\0!\n \r!\t@ \t-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \n„!\n@ ÀAJ\r\0 Aj! \tB|"\t \vQ\r\f\v\v \nB\0B\0B Aj"­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r\f \n§!@@ \r\0@@ \nBU\r\0 \nBnV\r \nBhQ\r\v  \nB†|)\0!\nB\0!\vA\0!@ \n Z\r \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v \nB|!\n Aj! ÀAL\r\0\v \vB\0B\0B ­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r \nBnR\rA\0!\f\vA\0! Aj\v \f \b)"\vZ\rA\0!B\0!\n@ \f-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \n„!\n@ ÀAJ\r\0 Aj! \fB|"\f \vQ\r\f\v\v \nB\0B\0B Aj"­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r\r \0      \n§ ހ€€\0E\r \fB|!\f Aj!\v \tB|!\r   I"j! E\r\n\f\0\v\v AlG\r\v \bր€€\0! \bB|ր€€\0"E\r\fA\0! \b)!\r \b)\0!\tA!A\0!A!@@@@@@@@@ \r \b)"\fZ\r\0A\0!B\0!@ \r-\0\0!@ A?G\r\0 AÿqAK\r\v ­Bÿ\0ƒ A?q­† „!@ ÀAJ\r\0 Aj! \rB|"\r \fQ\r\f\v\v \b \rB|"\r7 B€€€€Z\r §!B\0!\vA\0!@ \r"\n \fZ\r \n-\0\0! \b \nB|"\r7 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v Aj! ÀAL\r\0\v \vB\0B\0B ­† AÀ\0I A?K„"B€€€€\b|B€€€€Z\r §!@ \r\0@@ BU\r\0 BnV\r BhQ\r\v  B†|)\0!\nB\0!\vA\0!@ \n Z\r \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v \nB|!\n Aj! ÀAL\r\0\v \vB\0B\0B ­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r \nBnR\rA\0!\f\t\vA\0! Aj\b\b\v AqE\r \b)\b!\f@ \t \fZ\rA\0!B\0!\n@ \t-\0\0!@ A?G\r\0 AÿqAK\r\v ­Bÿ\0ƒ A?q­† \n„!\n@ ÀAJ\r\0 Aj! \tB|"\t \fQ\r\f\v\v \b \tB|"\t7\0 \nBÿÿÿÿV\rB\0!\vA\0!@ \t"\t \fZ\r \t-\0\0! \b \tB|"\t7\0 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v Aj! ÀAL\r\0\v \vB\0B\0B ­† AÀ\0I A?K„"\vB€€€€\b|B€€€€Z\r Aj! \n Z\r \r\0\f\v\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v \v§! \n§!\v@  K\r\0 \0       ހ€€\0E\rA!\f\v@@@ BU\r\0 BnV\r BhQ\r\v  B †B‡|)\0!\nB\0!\vA\0!@ \n Z\r \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v \nB|!\n Aj! ÀAL\r\0\v \vB\0B\0B ­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r \nBnR\rA\0!\f\vA\0! Aj\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v   I"j!A! E\r\r\f\0\v\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B•„€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v AiG\rA\0! \bր€€\0! \bB|ր€€\0! \b)\0!\t \b)!A!@@@@@@  O\r\v E\r\n@  \b)"\fZ\r\0   Ij!A\0!B\0!\r@ -\0\0!@ A?G\r\0 AÿqAK\r\f\v ­Bÿ\0ƒ A?q­† \r„!\r@ ÀAJ\r\0 Aj! B|" \fQ\r\f\v\v \rB€€€€Z\r\n  \r|B|"\n \fV\r B|! \b \n7B\0!\vA\0! \n!@ "\n \fZ\r \n-\0\0! \b \nB|"7 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\f\v ­ A?q­† \v„!\v Aj! ÀAL\r\0\v \vB\0B\0B ­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r\n \n§! \b)\b!\f@ \t \fZ\rA\0!B\0!\n@ \t-\0\0!@ A?G\r\0 AÿqAK\r\r\v ­Bÿ\0ƒ A?q­† \n„!\n@ ÀAJ\r\0 Aj! \tB|"\t \fQ\r\f\v\v \nB€€€€Z\r\v \t \n|B|" \fV\r \tB|! \b 7\0B\0!\vA\0! !\t@ \t"\t \fZ\r\b \t-\0\0! \b \tB|"\t7\0 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\r\v ­ A?q­† \v„!\v Aj! 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B€x|"Bÿ\0V\r\0\v\v  Bÿ\0ƒB8~|"A\0:\0\b P\r\0@B€€À\0P\r\0 A\0B€€À\0ü\v\0\v  7(\v ) \0| )\0B†| ) |Ž€€\0  ) " \0|7 )!B\0 )\0"7À¹  B|$€€€€\0   B†||B|\vù\n~~ B|! )\0!@ \0  |B†Bxƒ|)\0"Bÿ\0ƒB8~!@@ Bÿ\0V\r\0  |!\b !\t !\n@ \b) \b)}!\v \n!@ !\f@ \0 "\nB†|"\r)\0"B€T\r\0 !\f !@ B€|"B€ƒB€Q\r\0 BˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v B€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \nB|! \f Bÿ\0ƒB8~|"\f) \f)} \vV\r\0\v \t!@ !\f@ \0 "\tB†|")\0"B€T\r\0 !\f !@ B€|"B€ƒB€Q\r\0 BˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v B€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \tB|! \f Bÿ\0ƒB8~|"\f) \f)} \vT\r\0\v@ \n \tV\r\0 \r 7\0  7\0 !\t !\n\v \n \tX\r\0\f\v\v B€|"\fBˆB|Bƒ! \fB€ƒB€Q! \fB€T! !\t !\n@ \n!\v@ !\f@ \0 \v"\nB†|"\b)\0"B€T\r\0 !\f !@ B€|"B€ƒB€Q\r\0 BˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v B€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \f Bÿ\0ƒB8~|! !\f !@ \r\0 ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v )! ) !@ \r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \nB|!\v  } \f |"\f) \f)}V\r\0\v \t!@ !\f@ \0 "\tB†|")\0"B€T\r\0 !\f !@ B€|"\rB€ƒB€Q\r\0 \rBˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v \rB€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \f Bÿ\0ƒB8~|"\f)!\r \f) ! !\f !@ \r\0 ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v@ \r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \tB|!  \r} \f |"\f) \f)}T\r\0\v@ \n \tV\r\0 \b 7\0  7\0 !\t \v!\n\v \n \tX\r\0\v\v@ \t X\r\0 \0  \t ’€€\0\v \n! \n T\r\0\v\vÐ)~~~#€€€€\0B }"$€€€€\0@@@@@@@@@ )\0\0" )\0\b"\bQ\r\0@ B|"\t \bV\r\0 (\0\0!\n  \t7\0\0 \nAĒ‘âG\r \t \bZ\r B|!A\0!\nB\0!\t@ B|-\0\0!\v  7\0\0@ \nA?G\r\0 \vAÿqAK\r\t\v \v­Bÿ\0ƒ \nA?q­† \t„!\t@ \vÀAJ\r\0 \nAj!\n  \bR!\v B|! \vE\r\f\v\v \tB€€€€Z\r  \t| \bZ\r  \t7\0 \tB|耀€\0"B| \tB†7\0 B\t| 7\0 B|B7\0 \0\r )\0\0 |" )\0\b"\bZ\r  7\0\b\f\v#€€€\0BÀ€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B¨•€€€€€€€\0|BÒ\0º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B••€€€€€€€\0|Bº€€€\0\0\v#€€€\0B‡•€€€€€€€\0|Bº€€€\0\0\v )\0\b!\b\v \t§!\f B|!\r@@@ \tP\r\0 \fA \fAK­!B\0!@@@@@ \r B†| )\0\x007\0 )\0\0!\t )\0\b!A\0!\nB\0!@@@@@@@@@@@@@@@@@ \t"\t Z\r \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ \0E\r\0 BR\r\0B\0!A\0!\n@ \t"\t Z\r \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r BU\r BnV\r B€Q\r BhQ\r\f\v BU\r@@@@@ BnV\r\0 BhQ\r\0 §!\n@ \0\r\0 \nAj\v@ \nAj\0\v \nA€G\r\v#€€€\0Bٔ€€€€€€€\0|Bº€€€\0\0\vB\0!A\0!\n@ \t"\t Z\r\b \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\f\vB\0!A\0!\n@ \t"\t Z\r\b \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\f\v \0  \f؀€€\0\f\v \t Z\rA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\b\f\v\v B€€€€Z\r \tB|!\t@ P\r\0 §!A!@B\0!A\0!\n@ \t"\t Z\r\n \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\v   I"\nj! \n\r\0\v\v \t Z\r\bA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\n\f\v\v B€€€€Z\r \tB|!\t@ P\r\0 §!A!@B\0!A\0!\n@ \t"\t Z\r\f \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\v   I"\nj! \n\r\0\v\v \t Z\r\nA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\f\v\v B€€€€Z\r \tB|!\t §!\n@ \nE\r \t Z\r\f \t-\0\0!\v  \tB|"\t7\0\0 \nAj!\n \t!\t \vAjAÿqAI\r\0\v#€€€\0Bº”€€€€€€€\0|Bº€€€\0\0\v § \fO\r\f\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0Bõ”€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\f\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v@@ \t Z\r\0A\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\v\v B€€€€Z\r\r P\r \tB|!\t §!B\0!A\0!A!@ ! !@@@@ \t Z\r\0A\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\v\v B€€€€Z\r \t |B|" V\r  7\0\0 B\b| \tB|" „‚€€\0 )\bPE\r §! P\r@      I"\n­‚€€\0"\vA\0J\r\0 \n\r \v\r\v#€€€\0B™”€€€€€€€\0|B!º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B׀€€€€€€€\0|Bº€€€\0\0\v#€€€\0Bꐀ€€€€€€\0|B"ǀ€€\0\0\v )\0\0!\t )\0\b!B\0!A\0!\n@@ \t"\t Z\r \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\v   I"\nj! \n\r\f\v\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v \t Z\rA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\f\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\v\v B€€€€Z\r\n \t |B|"\t V\r  \t7\0\0\v B|" Q\r\f\v\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B׀€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v  \b7\0\b\f\v  \b7\0\bB\0!@ \r B†|)\0!A\0!\nB\0!\t@@@@@@@@@  \bZ\r -\0\0"Aÿ\0q!\v@ \nA?G\r\0 \vAÿ\0F\r\0 \v\r\f\v \v­ \nA?q­† \t„!\t B|! \nAj!\n ÀAL\r\0\v \tB\0B\0B \n­† AÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r\n \tBiR\r  \bZ\rA\0!\nB\0!\t@ -\0\0!\v@ \nA?G\r\0 \vAÿqAK\r\f\v \v­Bÿ\0ƒ \nA?q­† \t„!\t@ \vÀAJ\r\0 \nAj!\n B|" \bQ\r\f\v\v \tB€€€€Z\r\n B|! \t§!A\0!@  O\r\b  \bZ\r   Ij!A\0!\nB\0!\t@ -\0\0!\v@ \nA?G\r\0 \vAÿqAK\r\r\v \v­Bÿ\0ƒ \nA?q­† \t„!\t@ \vÀAJ\r\0 \nAj!\n B|" \bQ\r\f\v\v \tB€€€€Z\r\v  \t|B|" \bV\rB\0!\tA\0!\n@  \bZ\r -\0\0"Aÿ\0q!\v@ \nA?G\r\0 \vAÿ\0F\r\0 \v\r\r\v \v­ \nA?q­† \t„!\t B|! \nAj!\n ÀAL\r\0\v \tB\0B\0B \n­† AÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r\v \tB\0S\r \t§ \fO\r \r \tB†|)\0!\tB\0!A\0!\n@ \t \bZ\r\b \t-\0\0"Aÿ\0q!\v@ \nA?G\r\0 \vAÿ\0F\r\0 \v\r\r\v \v­ \nA?q­† „! \tB|!\t \nAj!\n ÀAL\r\0\v B\0B\0B \n­† AÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r\v \tBjQ\r\0\v#€€€\0B󓀀€€€€€\0|B&º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B׀€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0Bʓ€€€€€€€\0|B)º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v B|" R\r\0\v\v  )\0\x007\0@@ )\0\0" )\0\b"\bZ\r\0A\0!\nB\0!@ -\0\0!\v  B|"\t7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n \t! \t \bQ\r\f\v\v B€€€€Z\r@ P\r\0 B|! §!A!@A\0!\nB\0!\t@ " \bZ\r -\0\0!\v  B|"7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† \t„!\t \nAj!\n \vÀAL\r\0\v \tB\0B\0B \n­† \vAÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r@@ \tBU\r\0 \tBnV\r \tBhQ\r \0 \tB€Qq\r\f\v \t§ \fO\r\v   I"\nj! \n\r\0\v\v  \r7\0 B |$€€€€\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\vå)\f~#€€€€\0B }"\t$€€€€\0@@@ \b\r\0  rAL\r\0 ­!\n ­!\v@@@@@@@@@ ­Bÿƒ§\0\0\v \0)\0\0 \0)\0 \v~ \n|"\vBˆBøÿÿÿÿÿÿÿƒ|"\n \0)\0\bX\r#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v \0)\0\0 \0)\0 \n| \0)\0~ \v|"\vBˆBøÿÿÿÿÿÿÿƒ|"\n \0)\0\bV\r \n)\0"\fB \vB†B>ƒ†"\vƒPE\r\b \n \f \v„7\0\f\v \0)\0\0"\r \0)\0" \v~ \n|"BˆBøÿÿÿÿÿÿÿƒ|"\f \0)\0\b"V\r \0)\0! \f)\0"B B†B>ƒ†"ƒP\r \r  \v| ~ \n|"BˆBøÿÿÿÿÿÿÿƒ|" V\r )\0 B†B>ƒˆBƒP\r\f\v \n)\0"\fB \vB†B>ƒ†"\vƒB\0R\r \n \f \v„7\0\f\v \f  „7\0 \r  \v| ~ \n|"\vBˆBøÿÿÿÿÿÿÿƒ|"\n V\r \n \n)\0B \vB†B>ƒ†„7\0\f\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v@@@@@@@@@@@@@@@@@@@@@@@ AJ\r\0@ AJ\r\0 AoI Aÿ\0jA~Iq AhGq\r\0  G\r\0 AnK AhFr AjAIr\r\v \t 7\b \t 7\0 !\f\f\v  ­B†|)\0!\n \t 7\b \n Z\rA\0!B\0!\v@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n Q\r\f\v\v \t \nB|"\f7\0 \vB\0B\0B Aj"­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r \n§!\v@@ AJ\r\0 \t 7 \t 7 !\n\f\v  ­B†|)\0!\n \t 7 \n Z\rA\0!B\0!\v@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n Q\r\f\v\v \t \nB|"\n7 \vB\0B\0B Aj"­† AÀ\0I A?K„"\vB€€€€\b|B€€€€Z\r \v§!\v@@@@@@@@@@@@@@@@  G\r\0A! Aj&&\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\vA\0! ApF\r% Aj#\v \f Z\rA\0!B\0!\v@ \f-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r"\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \fB|"\f Q\r\f\v\v \t \fB|7\0 \vB\0B\0B Aj"­† AÀ\0I A?K„"\vB€€€€\b|B€€€€Z\r \n Z\r \v§!A\0!B\0!\v@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r"\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n Q\r\f\v\v \vB\0B\0B Aj"­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r \0A      \n§A\0”€€\0!\f$\v AF\r# Aj#\v Aj"""""""""""""" """"""\v Aý~F\r\v Aj\t\b \v Aý~F\r AnF\f\v AnF\r\f\v \0      \t׀€€\0 \tB|׀€€\0A\0”€€\0!\f\v AnG\r \0      \t׀€€\0 \tB|׀€€\0A\0”€€\0!\f\v Aþ~G\r Aþ~G\r \tր€€\0" \tB|ր€€\0G\r Aj!@ Aj"E! E\r \tր€€\0! \t׀€€\0! \tB|ր€€\0! \tB|׀€€\0!\b  G\r \0       \bA\0”€€\0E\r\f\0\v\v AmG\r \0      \t׀€€\0 \tB|׀€€\0A\0”€€\0!\f\v AjG\r \tր€€\0" \tB|ր€€\0G\rA€\b AtAøqv!A\0! \t)!\v \t)\0!\n@@  O\r \n \t)\b"\rZ\r\t   Ij!A\0!B\0!\f@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f@ ÀAJ\r\0 Aj! \nB|"\n \rQ\r\v\f\v\v \fB\0B\0B Aj"­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r \v \t)"\rZ\r\n \nB|!\n \f§!\bA\0!B\0!\f@ \v-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f@ ÀAJ\r\0 Aj! \vB|"\v \rQ\r\f\f\v\v \fB\0B\0B Aj"­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r \vB|!\vA\0! \0      \f§ \bA\0”€€\0E\r\f\0\v\v \t \v7 \t \n7\0@ \tր€€\0" \tB|ր€€\0F\r\0A\0!\f\v Aj!@@ Aj"E\rA\0! \tB|׀€€\0! \0      \t׀€€\0 A\0”€€\0E\r\f\0\v\vA\0!A\0!A\0!A\0! \tր€€\0"E\rA\0! \t)\b!\v \t)\0!\nA\0!A\0!@ \n \vZ\r\n@@@@ \n-\0\0Aj\0\vA!\f\vA!\f\vA!\v \nB|!\n Aj"\r\0\f\v\v AlG\r@ \b\r\0 \tր€€\0"Aj!A\0! \tB|ր€€\0!@  F\r\vA\0! \tB|ր€€\0! \tB|׀€€\0!  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ÀAL\r\0\v \fB\0B\0B ­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r Aj!@ \r\0 \v Z\r\0 \r\v\v@  \vQ\r\0A\0!\f\vA\0! \0       \f§A\0”€€\0E\r\f\0\v\v AiG\rA\0!\b \tր€€\0! \tB|ր€€\0! \t)\0!\n \t)! AÿqAF!@@@ \b O\r\0 \rA\0!\f\v AÿqAG Er!\f\v  \t)"\rZ\r\r \b \b Ij!\bA\0!B\0!@ -\0\0!@ A?G\r\0 AÿqAK\r\v ­Bÿ\0ƒ A?q­† „!@ ÀAJ\r\0 Aj! B|" \rQ\r\f\v\v B€€€€Z\r  |B|"\v \rV\r B|! \t \v7B\0!\fA\0! \v!@ "\v \rZ\r \v-\0\0! \t \vB|"7 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f Aj! ÀAL\r\0\v \fB\0B\0B ­† AÀ\0I A?K„"\vB€€€€\b|B€€€€Z\r \v§! \t)\b!\r@ \n \rZ\rA\0!B\0!\v@ \n-\0\0!@ A?G\r\0 AÿqAK\r\v ­Bÿ\0ƒ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n \rQ\r\f\v\v \vB€€€€Z\r \n \v|B|" \rV\r \nB|! \t 7\0B\0!\fA\0! !\n@ \n"\n \rZ\r \n-\0\0! \t \nB|"\n7\0 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f Aj! ÀAL\r\0\v \fB\0B\0B ­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r    \v  \vT‚€€\0" \v V \v Tk ! 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B\x007\b B7\0A\0  §Aÿÿqk"  K!\v@ )"\bP\r\0 )! \bB~!\t@@@@@ 3\0§\0\0\v B\b|)\0!\b\f\v B|)\0!\b\f\v@ B|/\0"AèI\r\0BB AÎ\0I!\b\f\vB!\b A\nI\r\0BB Aä\0I!\b\v B|! \b |! \tBh|"\tB\0R\r\0\v\v@@  ­BÿÿƒZ\r\0  §k!\nA\0!A\0!\v@@@ AvAq\0\0\v \n!\v\f\v \nAþÿqAv!\v\v Aÿÿÿ\0q! \0)\b! \0)\0!@ Aÿÿq \vAÿÿqO\r Aj!   ) ‚€€€\0€€€€\0E\r\0\f\v\v \0)\0 \0)\b Š‚€€\0! \0 7\f\v   Š‚€€\0\r\0A\0! \n \vkAÿÿq!\v@@ Aÿÿq"\n \vI! \n \vO\r Aj!   ) ‚€€€\0€€€€\0E\r\0\v\v \0 7\f\vA!\v B |$€€€€\0 \v±\t~~~~#€€€€\0BÐ}"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;°  7¨ B7   \n7˜  :\0²@@@@@@@@ A~j"E\r\0B!\n#€€€\0"B™Û€€€€€€€\0|"\v BšÛ€€€€€€€\0| B\0S"\t \vB \t !B B?ˆ ! A AIAj\v B7( A; #€€€\0B›Û€€€€€€€\0|7 B!B\0!B!\n\f\v B7( A; #€€€\0BžÛ€€€€€€€\0|7 \f\v Bø\0| B˜| B|B€‚€€\0@@ )xP\r\0 B¸|B| Bø\0|B|)\x007\0 B¸|B\b| Bø\0|B\b|)\x007\0  )x7¸\f\v B¸| B˜| B|Bþ€€\0\v )À"\vB\0Q\r )¸"\b-\0\0A0M\r .È"¬!\n AH\r ­Bÿÿƒ!\r Bè\0|!  \b7 A;@@@ \v \nV\r\0 A\0;0  \v7(  \n \v}78 Aÿÿq\rB!\n\f\v A;H B7@ A;0 #€€€\0BÛ€€€€€€€\0|78  \n7(  \b \n|7P  \v \n}"\n7X \n \rT\rB!\n\f\v A\0;` B7X A;H #€€€\0BÛ€€€€€€€\0|7PB!\n  \r7\0\f\v A\0;`B!\n B7\0\f\v A; AÿÿqE\r B78 A\0;0B!\n B7( #€€€\0B‘Û€€€€€€€\0|7 \f\v\0\v  \b7P A;H A\0;0 B7( A; B\0 \n}78 #€€€\0B‘Û€€€€€€€\0|7 B!\n BØ\0| \v7\0\f\vB!\n B7( #€€€\0B¡Û€€€€€€€\0|7 \v  \n7  7€  7x  B|7ˆ \0 Bø\0|†‚€€\0! 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BU\r\0 \0(\0E\r\0 \0A6\b\v \v¢||~D\0\0\0\0\0\0ð?!Ajm\r¨Zjz\vÏäÿ\t“\'®\0\n±ž}D“ðÒ£\b‡hòþÂi]Wb÷Ëge€q6lçknvÔþà+ӉZzÚÌJÝgoß¹ùùﾎC¾·Վ°`è£ÖÖ~“Ñ¡ÄÂØ8RòßOñg»ÑgW¼¦Ýµ?K6²HÚ+\rØL\n¯öJ6`zAÃï`ßUßg¨ïŽn1y¾iFŒ³a˃f¼ Òo%6âhR•w\fÌG\v»¹"/&U¾;ºÅ(\v½²’Z´+j³\\§ÿ×Â1Ïе‹žÙ,®Þ[°Âd›&òc윣ju\n“m©\tœ?6ë…grW\0‚J¿•z¸â®+±{8¶\f›ŽÒ’\r¾Õå·ïÜ|!ßÛ\vÔÒӆBâÔñø³ÝhnƒÚ;[&¹öáw°owG·æZ\bˆpjÿÊ;f\\\vÿžei®bøÓÿkaEÏlxâ\n îÒ\r×TƒN³9a&g§÷`ÐMGiIÛwn>JjÑ®ÜZÖÙf\vß@ð;Ø7S®¼©Åž»ÞϲGéÿµ0ò½½ŠÂºÊ0“³S¦£´$6к“×Í)WÞT¿gÙ#.zf³¸JaÄh]”+o*7¾\v´¡Ž\fÃßZï-ABCDEFGHIJKLMNOPQRSTUVWXYZ234567accum_base32: Base32 symbol out of rangeRegion error: StableMemory range out of boundsrange overflowoffset out of boundsMOREGIONcannot recover un-allocated regionmigration failure (insufficient pages)migration failure (too many pages for region0 )migration failure (base too low)migration failure (unexpected block size)migration failure (unexpected higher version)migration failure (bad magic bytes)alloc_text_blob: Text too largeweak_ref_is_live: Called on a non-weak reference.object_size: forwarding pointerobject_size: invalid object tagutf8_validate: string is not UTF-8IDL error: RTS error: remember_continuation: Argument is not a skewed pointerrecall_continuation: Continuation table not allocatedrecall_continuation: Continuation index not in tablerecall_continuation: Continuation index out of range\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0 \0\0ð\0\0\0\0Cannot grow memoryservice method arg not a constructor typeservice method arg not a function typeservice method names out of orderfunc annotation not within 1..3primitive type in type tableillegal type tabletoo many typesmissing magic bytesempty input. Expected Candid-encoded argument, but received a zero-length argumentweak_ref_is_live: Invalid WeakRef pointer. This is a bug, report to the Motoko team.set_dedup_table: Invalid dedup table pointer. 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Aj" F\r$\f\v\v \0(\0\0" O\r# Aj!A\0!A\0!@ -\0\0!\b \0 Aj"\t6\0\0@ AG\r\0 \bAÿqAK\rF\v \bAÿ\0q t r!@ \bÀAJ\r\0 Aj! \t! \t F\r%\f\v\v  O\r@ E\r\0A\0!@ Aj!@  O\r2 ,\0\0!\b Aj"! \bA\0H\r\0\v@  O\r3 ,\0\0!\b Aj"! \bAL\r\0\v  G\r\0\v\v@  O\r. ,\0\0!\b Aj"! \bA\0H\r\0\vA\0!A\0!@  O\r/ -\0\0!\b@ AG\r\0 \bAø\0q"\tAø\0F\r\0 \t\rF\v Aj! \bAÿ\0q t r! Aj! \bÀAL\r\0\v A\0A\0A t \bAÀ\0I AKr!\f\v \0(\0\0" O\r# -\0\0! \0 Aj"\b6\0\0 AO\r$ \r#€€€\0A¥ƒ€€\0jA¶€€€\0\0\v \0(\0\0" O\r$ -\0\0! \0 Aj"\b6\0\0 AO\r% \r#€€€\0A¥ƒ€€\0jA¶€€€\0\0\vA\0!A\0!@  O\r& -\0\0!\b@ AG\r\0 \bAø\0q"\tAø\0F\r\0 \t\rC\v Aj! \bAÿ\0q t r! Aj! \bÀAL\r\0\v \0(\0\0" O\r& -\0\0!\t \0 Aj6\0\0 \tAO\r\' \t\r A\tj" K\r5 A\0A\0A t \bAÀ\0I AKr! \0 6\0\0\vA!ABƒ€€€\0 A\0N\r\0\v\v A€j€@\r\f\v\f\v\n\t\f\v\n\t\b\b@\v#€€€\0A삀€\0jA¶€€€\0\0\v#€€€\0A†ƒ€€\0jA¶€€€\0\0\v \b O\r( -\0! \0 Aj"\b6\0\0 AO\r) E\r* \b O\r+ Aj!A\0!A\0!@ Aj-\0\0!\b \0 6\0\0@ AG\r\0 \bAÿqAK\r=\v \bAÿ\0q t r!@ \bÀAJ\r\0 Aj!  G!\b Aj! \bE\r-\f\v\v  j" K\r, \0 6\0\0 \0ր€€\0\v \b O\r, Aj!A\0!A\0!@ Aj-\0\0!\b \0 6\0\0@ AG\r\0 \bAÿqAK\r<\v \bAÿ\0q t r!@ \bÀAJ\r\0 Aj!  G!\b Aj! \bE\r.\f\v\v  j" K\r- \0 6\0\0\v Aj" K\r. \0 6\0\0\vA \tAj­ƒ€€€\0\f:\v#€€€\0A݃€€\0jA¶€€€\0\0\v \0(\0\0" \0(\0O\r, -\0\0! \0 Aj6\0\0 AI\r8#€€€\0Aς€€\0jA¶€€€\0\0\v \0(\0\0! \0(\0!@  O\r- ,\0\0! \0 Aj"6\0\0 ! AJ\r8\f\0\v\v \0(\0\0Aj" \0(\0K\r, \0 6\0\0\v \0(\0\0Aj" \0(\0K\r, \0 6\0\0\v \0(\0\0Aj" \0(\0K\r, \0 6\0\0\v \0(\0\0A\bj" \0(\0K\r, \0 6\0\0\v \0ր€€\0\v#€€€\0Aƒ€€\0jA¶€€€\0\0\v \0(\0\0" \0(\0O\r* -\0\0! \0 Aj6\0\0 AO\r+ E\r0 \0Հ€€\0\v \0(\0\0"A\fj" \0(\0"K\r+ \0 6\0\0  O\r, A\rj!A\0!\bA\0!@ Aj-\0\0! \0 6\0\0@ AG\r\0 AÿqAK\r/\v Aÿ\0q t \br!\b@ ÀAJ\r\0 Aj!  G! Aj! E\r.\f\v\v  \bj" K\r. \0 6\0\0\v#€€€\0A󃀀\0jA"¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0Aς€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0Aς€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0Aς€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0Aς€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0Aς€€\0jA¶€€€\0\0\v#€€€\0A¥ƒ€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0Aς€€\0jA¶€€€\0\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\v\0\v#€€€\0A׀€€\0jA¶€€€\0\0\v\vš@@@@@@ -\0\0E\r\0@ \0(\0\0" \0(\0"O\rA\0!A\0!\b !\t@ \t-\0\0!\n \0 \tAj"\v6\0\0@ \bAG\r\0 \nAÿqAK\r\b\v \nAÿ\0q \bt r!@ \nÀAJ\r\0 \bAj!\b \v!\t \v F\r\f\v\v@  O\r\0 \tAj!\tA\0!\bA\0!\v@ \t"\t O\r \t-\0\0!\n \0 \tAj"\t6\0\0@ \bAG\r\0 \nAø\0q"Aø\0F\r\0 \r\t\v \nAÿ\0q \bt \vr!\v \bAj!\b \nÀAL\r\0\vA\0!\t   \vA\0A\0A \bt \nAÀ\0I \bAKrA\0׀€€\0  -\0\0Aj"\b:\0\0 \bAÿq\r\f\v\v  F\r \0 6\0\0\vA\0!\t\v \t\v  -\0\0Aj:\0\0A\v#€€€\0A©€€€\0jA¶€€€\0\0\v#€€€\0A©€€€\0jA¶€€€\0\v\0\vš@@@@ -\0\0E\r\0@ \0(\0\0! \0(\0!@  O\r ,\0\0! \0 Aj"6\0\0 ! A\0H\r\0\vA\0!A\0!\b@ " O\r -\0\0! \0 Aj"6\0\0@ AG\r\0 Aø\0q"\tAø\0F\r\0 \t\r\v Aÿ\0q t \br!\b Aj! 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A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \f\v#€€€\0! \0( "A)O\r@ \r\0 \0A\x006  \0\v A°Â€€\0j Atj5\0!\b AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0 \b~ \t|"\t>\0 Aj" 5\0 \b~ \tB ˆ|"\t>\0 A\bj" 5\0 \b~ \tB ˆ|"\t>\0 A\fj" 5\0 \b~ \tB ˆ|"\n>\0 \nB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6  \0\v@ A\bqE\r\0 \0( "A)O\r@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0Báë~ \t|"\b>\0 Aj" 5\0Báë~ \bB ˆ|"\b>\0 A\bj" 5\0Báë~ \bB ˆ|"\b>\0 A\fj" 5\0Báë~ \bB ˆ|"\b>\0 \bB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0Báë~ \t|"\b>\0 Aj! \bB ˆ!\t Aj"\r\0\v\v \bB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \v@ AqE\r\0 \0#€€€\0A„·€€\0jA偀€\0\v@ A qE\r\0 \0#€€€\0AŒ·€€\0jA偀€\0\v@ AÀ\0qE\r\0 \0#€€€\0A˜·€€\0jA偀€\0\v@ A€qE\r\0 \0#€€€\0A¬·€€\0jA\n偀€\0\v@ A€qE\r\0 \0#€€€\0AÔ·€€\0jA偀€\0\v \0 恀€\0 \0\v\0\vª\r~~#€€€€\0A k"$€€€€\0@A E\r\0 A\0A ü\v\0\v@@@ \0( " I\r\0 A)O\r  Atj!@ \r\0A\0!A\0!@  F\r Aj! (\0!\b Aj"\t! \bE\r\0  Aj"  K! \t!\f\0\v\v Aj!\n \0 Atj!\vA\0!\b \0 A\0GAtj! AjAÿÿÿÿq!\fA\0!@  \bAtj!\t@ \b!\r \t!  F\r Aj!\t \rAj!\b (\0! Aj"! E\r\0\v ­!B\0!A!\t ! \0!@ ! \b \tjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj!   \vGAtj! ! \f \tAj"\tG\r\0\v !@ B€€€€T\r\0 \r j"A(O\r  Atj §6\0 \n!\v   \rj"  K! !\f\0\v\v A)O\r\0 Aj! Aj!\n AjAÿÿÿÿq!\f  Atj! \0 Atj!\vA\0!\t \0!\bA\0!@  \tAtj!\r@ \t! \r! \b \vF\r Aj!\r Aj!\t \b(\0! \bAj"!\b E\r\0\v ­!B\0!A!\r \n! !@ !\b \t \rjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj! \b \b GAtj! \b! \f \rAj"\rG\r\0\v !@ B€€€€T\r\0  j"A(O\r  Atj §6\0 !\v   j"  K! !\b\f\0\v\v\0\v@A E\r\0 \0 A ü\n\0\0\v \0 6  A j$€€€€\0 \0\vÜ\t@@ A€\nO\r\0 Av!@ \0( "E\r\0 Aj! At \0jA|j!  jAt \0jA|j! A)I!@ E\r  jA(O\r  (\x006\0 A|j! A|j! Aj"\r\0\v\v Aq!@ A I\r\0 At"E\r\0 \0A\0 ü\v\0\v \0( " j!@ \r\0 \0 6  \0\v Aj"A\'K\r\0 !\b \0 Atj(\0A\0 k"v"E\r A\'K\r\0 \0 Atj 6\0 Aj!\b\f\v\0\v@ Aj"\t O\r\0 Aq!@ Aq\r\0 At! \0 Aj"Atj"  \0Axjj(\0 v (\0 tr6\0\v AF\r\0 At \0jAtj!@ A\bj" Aj"(\0"\n v (\0 tr6\0  (\0 v \n tr6\0 Axj! \t A~j"I\r\0\v\v \0 Atj" (\0 t6\0 \0 \b6  \0\v 3~#€€€€\0A \nk"$€€€€\0@ )\0"B\0Q\r\0 )\b"B\0Q\r\0 )"B\0Q\r\0  |"\b T\r\0  T\r\0 AM\r\0 ,\0!\t .!  >\0 AA B€€€€T"\n6  A\0 B ˆ§ \n6@A˜E"\n\r\0 A\bjA\0A˜ü\v\0\v  >¤ AA B€€€€T"\v6Ä A\0 B ˆ§ \v6¨@ \n\r\0 A¤jA\bjA\0A˜ü\v\0\v  >È AA B€€€€T"\v6è A\0 B ˆ§ \v6Ì@ \n\r\0 AÈjA\bjA\0A˜ü\v\0\v@AœE\r\0 AðjA\0Aœü\v\0\v A6ì A6Œ ¬ \bB|y}BšÁè~B€¡Í ´|B ˆ§"\nÁ!\f@@ A\0H\r\0  恀€\0 A¤j 恀€\0 AÈj 恀€\0\f\v AìjA\0 kÁ恀€\0\v@@ \fAJ\r\0 A\0 \fkAÿÿq"䁀€\0 A¤j 䁀€\0 AÈj 䁀€\0\f\v Aìj \nAÿÿq䁀€\0\v@A¤E\r\0 Aü\bj A¤ü\n\0\0\v (è"\r (œ\n" \r K"A(K\r\0@@ \r\0A\0!\f\v Aq!@@ AG\r\0A\0!A\0!\f\v A>q!A\0! Aü\bj! AÈj!\nA\0!@  (\0" \n(\0j"\v Aqj"6\0 Aj" (\0" \nAj(\0j" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ E\r\0 Aü\bj At"j"\n \n(\0"\n AÈj j(\0j" j"\v6\0  \nI \v Ir!\v AqE\r\0 A(F\r Aü\bj AtjA6\0 Aj!\v  6œ\n  (Œ"  K"A)O\r\0 At!@@@ E\r A|j" Aìjj(\0"\n  Aü\bjj(\0"\vF\r\0\v \n \vK \n \vIk!\f\vAA\0 !\v@@  \tH\r\0 ( "A)O\r@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 !B\0!\f\v \vAüÿÿÿq!\v !B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v B€€€€T\r\0 A(F\r  Atj §6\0 Aj!\v  6  (Ä"A)O\rA\0!A\0!@ E\r\0 AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 A¤j!B\0!\f\v \vAüÿÿÿq!\v A¤j!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0 !\f\v A(F\r A¤j Atj §6\0 Aj!\v  6Ä@ \rE\r\0 \rAjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 AÈj!B\0!\f\v \vAüÿÿÿq!\v AÈj!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0  \r"6è\f\v \rA(F\r AÈj \rAtj §6\0 \rAj!\v  6è\f\v \fAj!\f \r!\v@A¤E\r\0 Aj AìjA¤ü\n\0\0\v (°"E\r\0 A(K\r\0 !@ Aj AtjA|j(\0"\nAJ\r\0 A(F\r Aj Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 Aj Aj"\nAtj"\v \v(\0At Aˆj Atj(\0Avr6\0\v AF\r\0 \nAt AjjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  6°  (At6@A¤E\r\0 A´j AìjA¤ü\n\0\0\v (Ô"E\r\0 A(K\r\0 !@ A´j AtjA|j(\0"\nA€€€€I\r\0 A(F\r A´j Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 A´j Aj"\nAtj"\v \v(\0At A¬j Atj(\0Avr6\0\v AF\r\0 \nAt A´jjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  6Ô  (´At6´@A¤E\r\0 AØj AìjA¤ü\n\0\0\v (ø\b"E\r\0 A(K\r\0 !@ AØj AtjA|j(\0"\nA€€€€I\r\0 A(F\r AØj Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 AØj Aj"\nAtj"\v \v(\0At AÐj Atj(\0Avr6\0\v AF\r\0 \nAt AØjjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  (ØAt6Ø  6ø\b  ( "  K"A(K\r\0A\0!@@@ ! At!@@@@ E\r A|j" j(\0"\n  AØjj(\0"\vF\r\0\v \n \vO\rA\0!\f\v E\r\0A\0!\f\vA! Aq!\rA\0!@ AF\r\0 A>q!A\0!A! ! AØj!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ \rE\r\0  At"j"\n \n(\0"\n AØj j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r  6 A\b! !\v    K"A)O\r At!@@@@ E\r A|j" j(\0"\n  A´jj(\0"\vF\r\0\v \n \vO\r !\f\v E\r\0 !\f\vA! Aq!\rA\0!@ AF\r\0 A>q!A\0!A! ! A´j!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ \rE\r\0  At"j"\n \n(\0"\n A´j j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r  6  Ar!\v    K"\rA)O\r \rAt!@@@@ E\r A|j" j(\0"\n  Ajj(\0"\vF\r\0\v \n \vO\r !\r\f\v E\r\0 !\r\f\vA! \rAq!A\0!@ \rAF\r\0 \rA>q!A\0!A! ! Aj!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ E\r\0  At"j"\n \n(\0"\n Aj j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r  \r6  Aj!\v  \r  \rK"A)O\r At!@@@@ E\r A|j" j(\0"\n  Aìjj(\0"\vF\r\0\v \n \vO\r \r!\f\v E\r\0 \r!\f\v@ E\r\0A! Aq!\rA\0!@ AF\r\0 A>q!A\0!A! ! Aìj!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ \rE\r\0  At"j"\n \n(\0"\n Aìj j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r\v  6  Aj!\v  F\r  j A0j:\0\0 (Ä"   K"A)O\r Aj! At!@@@ E\r A|j" j(\0"\n  A¤jj(\0"\vF\r\0\v \n \vK \n \vIk!\f\vAA\0 !\v@A¤E\r\0 Aü\bj A¤ü\n\0\0\v  (œ\n"  K"\rA(K\r@@ \r\r\0A\0!\r\f\v \rAq!A\0!A\0!@ \rAF\r\0 \rA>q!A\0! Aü\bj! AÈj!\nA\0!@  (\0" \n(\0j"\v Aqj"6\0 Aj" (\0" \nAj(\0j" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ E\r\0 Aü\bj At"j"\n \n(\0"\n AÈj j(\0j" j"\v6\0  \nI \v Ir!\v AqE\r\0 \rA(F\r Aü\bj \rAtjA6\0 \rAj!\r\v  \r6œ\n \r  \r K"A)O\r At!@@@ E\r A|j" Aìjj(\0"\n  Aü\bjj(\0"\vF\r\0\v \n \vK \n \vIk!\f\vAA\0 !\v@@@  \tH"\n\r\0  \tN\r\v  \tN\r \n\r\f\vA\0!A\0!@ E\r\0 AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 !B\0!\f\v \vAüÿÿÿq!\v !B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0 !\f\v A(F\r  Atj §6\0 Aj!\v  6 @ E\r\0 AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 A¤j!B\0!\f\v \vAüÿÿÿq!\v A¤j!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0 !\f\v A(F\r A¤j Atj §6\0 Aj!\v  6Ä@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 AÈj!B\0!\f\v \vAüÿÿÿq!\v AÈj!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! 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A;€\b AÿÿqE\r  \r6\b A\0;Œ\b A6ˆ\b #€€€\0AÙ€€\0j6„\b\f\v@AtA \fÁ"A\0H l"AÀý\0O\r\0 A€\bj AÀ\bj  AvAj"\tA\0 kA€€~ ÁAJ"ꁀ€\0 Á!@@ (€\bE\r\0 A°\bjA\bj A€\bjA\bj(\x006\0  )€\b7°\b\f\v A°\bj AÀ\bj  \t 聀€\0\v@ .¸\b"\t L\r\0 (´\b"\fE\r (°\b"-\0\0A0M\r A;€\b@@@@@ \tAH\r\0  6„\b \f \tK\r A\0;Œ\b  \f6ˆ\b  \t \fk6\b Aÿÿq\rA!\f\b\v  6œ\b A;˜\b A6ˆ\b #€€€\0AÙ€€\0j6„\b A\0;Œ\b A\0 \tk"6\b  \f6 \bA! \r \fM\r \r \fk"\f M\r \f \tj!\r\f\v A;˜\b A6”\b A;Œ\b #€€€\0AØ€€\0j6\b  \t6ˆ\b  \f \tk"6 \b   \tj6œ\b \r K\rA!\f\v A6 \b A;˜\b #€€€\0AØ€€\0j6œ\b\f\v \r k!\r\v  \r6¨\b A\0;¤\bA!\f\vA! A;€\b@ Aÿÿq\r\0A! A6ˆ\b #€€€\0A退\0j6„\b\f\v  \r6\b A\0;Œ\b A6ˆ\b #€€€\0AÙ€€\0j6„\b\f\v\0\vA! A6ˆ\b #€€€\0A退\0j6„\b\v  6¼\b  6´\b  6°\b  A€\bj6¸\b \0 A°\bj€\0! Aà\bj$€€€€\0 \vž~#€€€€\0Ak"$€€€€\0@@ \0/\f"\r\0 \0(\0 \0( 󁀀\0!\f\v A\bj A\bj)\x007\0  )\x007\0@@@ \0)\b"§"A€€€\bq\r\0 (!\f\v \0(\0 (\0 (" \0((\f€€€\0€€€€\0\r \0 A€€€ÿyqA°€€€r"6\b B7\0A\0!A\0  Aÿÿqk"  K!\v@ (\f"E\r\0 (\b! A\fl!\b@@@@@ /\0\0\0\v Aj(\0!\f\v A\bj(\0!\f\v@ Aj/\0"\tAèI\r\0AA \tAÎ\0I!\f\vA! \tA\nI\r\0AA \tAä\0I!\v A\fj!  j! \bAtj"\b\r\0\v\v@@  AÿÿqO\r\0  k!\nA\0!A\0!\t@@@ AvAq\0\0\v \n!\t\f\v \nAþÿqAv!\t\v Aÿÿÿ\0q!\b \0(! \0(\0!@ Aÿÿq \tAÿÿqO\r Aj!  \b (‚€€€\0€€€€\0E\r\0\f\v\v \0(\0 \0( 󁀀\0! \0 7\b\f\v   󁀀\0\r\0A\0! \n \tkAÿÿq!\t@@ Aÿÿq" \tI!  \tO\r Aj!  \b (‚€€€\0€€€€\0E\r\0\v\v \0 7\b\f\vA!\v Aj$€€€€\0 \v¼\b~~~#€€€€\0Ak"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;x  7p B7h  \n7`  :\0z@@@@@@@@ A~j"\tE\r\0A!#€€€\0"\fAက\0j"\r \fA \0j B\0S"\f \rA \f !\fA B?ˆ§ ! \tA \tAIAj\v A6( A; #€€€\0A　\0j6$A!\fA\0!A!\f\v A6( A; #€€€\0A怀\0j6$\f\v AÐ\0j Aà\0j AjA遀€\0@@ (PE\r\0 A€jA\bj AÐ\0jA\bj(\x006\0  )P7€\f\v A€j Aà\0j AjA灀€\0\v („"\tE\r (€"\r-\0\0A0M\r .ˆ! A; AH\r  \r6$@@@ \t K\r\0 A\0;,  \t6(   \tk60 Aÿÿq\rA!\f\v A;8 A64 A;, #€€€\0AØ€€\0j60  6(  \r j6<  \t k"6@  AÿÿqI\rA!\f\v A6@ A;8 #€€€\0AØ€€\0j6<\v A\0;DA! AÈ\0jA6\0\f\vA! A; AÿÿqE\r A60 A\0;, A6( #€€€\0AÙ€€\0j6$\f\v\0\v  \r6< A;8 A6( #€€€\0AÙ€€\0j6$ A\0;, A\0 k60A! AÀ\0j \t6\0\f\vA! A6( #€€€\0A退\0j6$\v  6\\  6T  \f6P  A j6X \0 AÐ\0j€\0! Aj$€€€€\0 \vî\t~~~#€€€€\0A\tk"$€€€€\0@ Aÿÿq"E\r\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\b\f\v@ B€€€€€€€øÿ\0ƒ"\tB€€€€€€€øÿ\0R\r\0A!\b\f\v Bÿÿÿÿÿÿÿƒ"\nB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\v"\fBƒ!\r@ \tB\0R\r\0@ \nPE\r\0A!\b\f\v \vAÍwj! \r§As!\bB!\t\f\vB€€€€€€€ \fB† \fB€€€€€€€\bQ"!\fBB !\t \r§As!\bAËwAÌw  \vj!\v  ;ø\b  \t7ð\b B7è\b  \f7à\b  \b:\0ú\b@@@@@ \bA~j"\vE\r\0A!\b#€€€\0"Aက\0j" A \0j B\0S" A  !A B?ˆ§ !@@@@ \vA \vAIAj\0\0\v A6\b A;ˆ\b #€€€\0A怀\0j6Œ\b\f\vAtA Á"\bA\0H \bl!\b AÿÿqA\bI\r \bAÀý\0I\r\f\v AÿÿqAF\r A6¨\b A; \b A\0;”\b A6\b A;ˆ\b  Aj6˜\b #€€€\0"\bAÙ€€\0j6Œ\b  \bAò€€\0Að€€\0 j6¤\bA!\b\f\v  \bAvAj"\b  \bI"\bA\bO\r AÐ\bj Aà\bj A\bj \bA€€ꁀ€\0@@ (Ð\bE\r\0 A€\tjA\bj AÐ\bjA\bj(\x006\0  )Ð\b7€\t\f\v A€\tj Aà\bj A\bj \bA€€聀€\0\v („\t"\bE\r (€\t"-\0\0A0M\r .ˆ\t!\v  6Œ\b A;ˆ\b A6\b@ AÿÿqAG\r\0 \bAG\r\0 A”\bj!A!\b\f\v A; \b A;”\b  \bAj6¨\b #€€€\0AØ€€\0j6˜\b A6œ\b  Aj6¤\b@  \bK\r\0 A¬\bj!A!\b\f\v A¸\bj! A\0;¬\b   \bk6°\bA!\b\f\v A6\b A;ˆ\b #€€€\0A　\0j6Œ\bA!A\0!\f\v A;\f A;\0 A \vk \vAj \vAH"; AA 6\b #€€€\0"\vA߀€\0j \vAÝ€€\0j  \vAÜ€€\0j \vAÛ€€\0j  6\f\v A6\b A;ˆ\b #€€€\0A퀀\0Aꀀ\0 j6Œ\b\vA!\b\v  \b6Ü\b  6Ô\b  6Ð\b  Aˆ\bj6Ø\b \0 AÐ\bj€\0!\b A\tj$€€€€\0 \b\v\0\vÅ~~~#€€€€\0A k"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;ˆ  7€ B7x  \n7p  :\0Š@@@@@@ A~j"E\r\0A!\t#€€€\0"\fAက\0j"\r \fA \0j B\0S"\f \rA \f !\fA B?ˆ§ ! A AIAj\v A6 A; #€€€\0A　\0j6A!\fA\0!A!\t\f\v A6 A; #€€€\0A怀\0j6\f\v A6 A; #€€€\0A퀀\0Aꀀ\0 j6\f\v Aà\0j Að\0j AjA遀€\0@@ (`E\r\0 AjA\bj Aà\0jA\bj(\x006\0  )`7\f\v Aj Að\0j AjA灀€\0\v (”"\tE\r ("-\0\0A0M\r .˜!\r  6 A; A6 @@ \tAG\r\0 A$j!A!\t\f\v A\0 \0A|j!\0 A|j! Aj"AK\r\0\v §!\0\v@ E\r\0  \x006\0\v@ E\r\0 Ÿ‚€€\0  ¡‚€€\0\v ¢‚€€\0\v Aj$€€€€\0 \vÄA\0!@ AH\r\0 \0(\0"E\r\0@ \0(  j"N\r\0 \0 ž‚€€\0"\r \0(\0" j!\v \0 6\0 \0(\f!\0@ AH\r\0A\0 Atk! \0 AtjA|j!@   j(\x006\0 A|j! Aj" J\r\0\v\v Aj!@A\0! \0A\x006\0 \0Aj!\0 Aj"AJ\r\0\v\v \vˆ@@ \0(\0\r\0 \0A™‚€€\0\f\v@@ \0(\bAG\r\0 \0A\x006\b \0¹‚€€\0"\r \0(\0E\r \0A6\b\f\v@ \0(\f"(\0"Aþÿÿÿ\0K\r\0  Aj6\0\f\v \0A \0º‚€€\0!\v \vA\0\v‹@@ \0(\0\r\0 \0A™‚€€\0 \0A6\b\f\v@@ \0(\bAG\r\0 \0A\x006\b \0¸‚€€\0"\r \0(\0E\r \0A6\b\f\v@ \0(\f"(\0"AI\r\0  Aj6\0\f\v \0A \0»‚€€\0!\v \vA\0\vÕ#€€€€\0Ak"$€€€€\0@@ ( \0(\0"J\r\0  Ajž‚€€\0"\r\v@@@@ \0(\b"AG\r\0@ \0(\0AJ\r\0 \0(\f(\0 O\r\0 \0A\fj! (\f! (\0!\f\v A\bj" \0A\bj)\x007\0 A\x006\0  \0)\x007\0   »‚€€\0! A6\b\f\v \0A\fj! (\f! (\0! \r\0@@ \0(\0AN\r\0A!\f\v (\0!A\0!@  (\0 j"Aÿÿÿÿ\0q6\0 Aj! Aj! Av! Aj" \0(\0H\r\0\v As!\v  6\0  \0(\0Aj6\0\f\v A6\0@ \0(\0AG\r\0  (\0(\0k!\v  6\0A!\vA\0! A\x006\b  j"AH\r\0 Aj! Aj!@ A\x006\0 Aj! Aj"AK\r\0\v\v Ÿ‚€€\0\v Aj$€€€€\0 \v•#€€€€\0Ak"$€€€€\0@@ ( \0(\0"J\r\0  Ajž‚€€\0"\r\v@ \0(\bAG\r\0 A\bj" \0A\bj)\x007\0 A\x006\0  \0)\x007\0   º‚€€\0! A6\b Ÿ‚€€\0\f\v (\f! \0(\f! (\0!@@@@ \0(\0"\0\v  (\0"\bI\r  \bk!\v  6\0A! A6\0 A6\b Aj!\f\v  6\0A\0! A\x006\b \0(\0AH\r\0A\0!@  (\0 k"Aÿÿÿÿ\0q6\0 Aj! Aj! Av! Aj" \0(\0H\r\0\v\v@  k"AH\r\0 Aj!@ A\x006\0 Aj! Aj"AK\r\0\v\v Ÿ‚€€\0A\0!\v Aj$€€€€\0 \v\ví´\0#\vå´src/print.rs\0BitRel indices out of boundsbyte read out of bufferword read out of bufferadvance out of bufferpeek_future_continuation: Continuation table not allocatedpeek_future_continuation: Continuation index not in tablepeek_future_continuation: Continuation index out of rangeinvalid type argumentvariant or record tag out of orderskip_any: byte tag not 0 or 1skip_any: recursive recordskip_any: variant tag too largeskip_any: skipping referencesskip_any: encountered emptyskip_any: unknown primskip_any: too deeply nested recordsub: unexpected alias\0\0\0\0\0\0–0w,aîºQ\t™Ämôjp5¥c飕dž2ˆÛ¤¸ÜyéÕàˆÙҗ+L¶\t½|±~-¸ç‘¿d·ò °jHq¹óÞA¾„}ÔÚëäÝmQµÔôDžӃV˜lÀ¨kdzùbýìÉeŠO\\Ùlcc=úõ\r\bÈ n;^iLäA`Õrqg¢Ñäjm\r¨Zjz\vÏäÿ\t“\'®\0\n±ž}D“ðÒ£\b‡hòþÂi]Wb÷Ëge€q6lçknvÔþà+ӉZzÚÌJÝgoß¹ùùﾎC¾·Վ°`è£ÖÖ~“Ñ¡ÄÂØ8RòßOñg»ÑgW¼¦Ýµ?K6²HÚ+\rØL\n¯öJ6`zAÃï`ßUßg¨ïŽn1y¾iFŒ³a˃f¼ Òo%6âhR•w\fÌG\v»¹"/&U¾;ºÅ(\v½²’Z´+j³\\§ÿ×Â1Ïе‹žÙ,®Þ[°Âd›&òc윣ju\n“m©\tœ?6ë…grW\0‚J¿•z¸â®+±{8¶\f›ŽÒ’\r¾Õå·ïÜ|!ßÛ\vÔÒӆBâÔñø³ÝhnƒÚ;[&¹öáw°owG·æZ\bˆpjÿÊ;f\\\vÿžei®bøÓÿkaEÏlxâ\n îÒ\r×TƒN³9a&g§÷`ÐMGiIÛwn>JjÑ®ÜZÖÙf\vß@ð;Ø7S®¼©Åž»ÞϲGéÿµ0ò½½ŠÂºÊ0“³S¦£´$6к“×Í)WÞT¿gÙ#.zf³¸JaÄh]”+o*7¾\v´¡Ž\fÃßZï-ABCDEFGHIJKLMNOPQRSTUVWXYZ234567accum_base32: Base32 symbol out of rangeRegion error: StableMemory range out of boundsrange overflowoffset out of boundsMOREGIONcannot recover un-allocated regionmigration failure (insufficient pages)migration failure (too many pages for region0 )migration failure (base too low)migration failure (unexpected block size)migration failure (unexpected higher version)migration failure (bad magic bytes)alloc_text_blob: Text too largeobject_size: forwarding pointerobject_size: invalid object tagutf8_validate: string is not UTF-8IDL error: RTS error: remember_continuation: Argument is not a skewed pointerrecall_continuation: Continuation table not allocatedrecall_continuation: Continuation index not in tablerecall_continuation: Continuation index out of range\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0 \0\0ðCannot grow memoryservice method arg not a constructor typeservice method arg not a function typeservice method names out of orderfunc annotation not within 1..3primitive type in type tableillegal type tabletoo many typesmissing magic bytesempty input. 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Aj j"A~j-\0\0E\r Aj-\0\0E\r AÀF\r Aj! Aj! -\0\0\r\0\v Aj!\f\v Aj!\f\v A~j!\vA ր€€\0!@ E\r\0 A\tj Aj ü\n\0\0\v A°j$€€€€\0 \vÿ~@@@ (\0Aj"(\0A!F\r\0 ý€€€\0!@€€€€\0"­ At"­|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r Bÿÿ|Bˆ§"?\0"\bM\r\0  \bk@\0AF\r\v §‚€€€\0 Aj!@ E\r\0   ü\n\0\0\v  \0 Asj j"6 A!6\0  6\0\v  (6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\vö@@@@@@@@@@@@ Aj"(\0"Aj3\0\b\t\b\t\b\t\b\t\b\n\b\n\b\n\b\b\b\b\b\n\b\n\b\n\b\n\b\n\b\n\b\b\b\n\b\n\b\n\b\b\n\b\n\b\v ("E\r\t A\fj! A\fj!@@ (\0"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  €€\0\v Aj! Aj! Aj"\r\0\f\n\v\v#€€€\0A¾–€€\0jA3–€€€\0\0\v@ (\b"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  A\bj€€\0\v (\f"Aj \0I\r AF\r AqE\r \0  A\fj€€\0\v ("Aj \0I\r AF\r AqE\r \0  Aj€€\0\v (\b"Aj \0I\r AF\r AqE\r \0  A\bj€€\0\v ("Aj \0I\r AF\r AqE\r \0  Aj€€\0\v (\b"E\r A\fj! A\fj!@@ (\0"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  €€\0\v Aj! Aj! Aj"\r\0\f\v\v ("Aj \0I\r AF\r AqE\r \0  Aj€€\0\v A3M\r\v Aj(\0" AÿÿÿÿqA\0 A3K"M\r\0  k!  AtjA\bj"!@@ (\0"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  €€\0\v Aj! Aj! Aj"\r\0\v\v\v#€€€\0Añ–€€\0jA*–€€€\0\0\vÕ~@@@@#€€€\0"A藂€\0j(\0" A䗂€\0j(\0G\r\0@#€€€\0Aܗ‚€\0j(\0(Aj"A|q­€€€€\0"­|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r Bÿÿ|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0#€€€\0A䗂€\0j(\0 AjG\r#€€€\0"Aܗ‚€\0j(\0 AtAxq"6 A䗂€\0j Aà—‚€\0j(\0 j6\0 A藂€\0j(\0!\v  \x006\0#€€€\0A藂€\0j Aj6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\v\0\vÖ~@@@€€€€\0"\0­"BˆÀ\0|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r B‡À|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0 \0Aj"B™€€€€€\b7\0A€@!@  j"\0A À\0jB\x007\0 \0A˜À\0jB\x007\0 \0AÀ\0jB\x007\0 \0AˆÀ\0jB\x007\0 A j"\r\0\v#€€€\0"\0A𗂀\0j 6\0 \0A엂€\0jA:\0\0 \0Aô—‚€\0jA\x006\0€€€\0! \0Aü—‚€\0j \0A¬˜‚€\0j(\x006\0 \0Aø—‚€\0j AjA`q6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v­@@ (\0Aj" \0AA\b \0-\0 "j(\0I\r\0 Aq\r\0@#€€€\0A„˜‚€\0j(\0 Avj"-\0\0"A AvAqt"q\r\0   r:\0\0 ‘€€\0 ý€€€\0! \0 \0( Atj6\v E\r \0( K\r \0(\b" M\r (\0"\0AqE\r \0Aj I\r#€€€\0A엂€\0j-\0\0E\r\0#€€€\0A𗂀\0j(\0" (AvAj AvqAtjA\bj"\0(\0"E\r\0  F\r@ \0("E\r A\bj!\0 (\b F\r\f\0\v\v\0\v\v¿~@@@#€€€\0"A˜˜‚€\0j(\0" A”˜‚€\0j(\0G\r\0@#€€€\0AŒ˜‚€\0j(\0(Aj"A|q­€€€€\0­|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r Bÿÿ|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0#€€€\0"AŒ˜‚€\0j(\0 AtAxq"6 A”˜‚€\0j A˜‚€\0j(\0 j6\0 A˜˜‚€\0j(\0!\v  \x006\0  6#€€€\0A˜˜‚€\0j A\bj6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v-#€€€\0A¬˜‚€\0j€€€\0AjA`q"\x006\0 \0Aj‚€€€\0\v¤$#€€€€\0Ak"$€€€€\0@@@@@@@@@ (\0\0" (\0"\bF\r\0@ Aj"\t \bK\r\0 (\0\0!\n  \t6\0\0 \nAĒ‘âG\r \t \bO\r Aj!A\0!\vA\0!\t@ Aj-\0\0!\n  6\0\0@ \tAG\r\0 \nAÿqAK\r\t\v \nAÿ\0q \tt \vr!\v@ \nÀAJ\r\0 \tAj!\t  \bG!\n Aj! \nE\r\f\v\v  \vj \bO\r  \v6\0A \vAtր€€\0! \0\r (\0\0 j"\t (\0"O\r  \t6\0\f\v#€€€\0AÀ€€€\0jAº€€€\0\0\v#€€€\0AƔ€€\0jAÒ\0º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A³”€€\0jAº€€€\0\0\v#€€€\0A¥”€€\0jAº€€€\0\0\v (\0!\v A\tj!\f@@@ \vE\r\0A!A\0!\r@@@@@@ \r!\t !\r \f \tAtj (\0\x006\0 (\0\0!\n (\0!A\0!\tA\0!@@@@@@@@@@@@@@@@@@ \n"\n O\r \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v A\0A\0A \tt \bAÀ\0I \tAKr!\t@@ \0E\r\0 \tAG\r\0A\0!\tA\0!@ \n"\n O\r \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v A\0A\0A \tt \bAÀ\0I \tAKr"AJ\r AnK\r A€F\r AhF\r\f\v \tAJ\r \tAnK\r \tAhF\r@@@@@ \0E\r\0 \tAj\v \tAj\0\vA\0!\tA\0!@ \n"\n O\r\b \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r \v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v@ A\0A\0A \tt \bAÀ\0I \tAKr"AJ\r\0 AnK\r AhF\r \0 A€Fq\r\f\v  \vO\r\f\vA\0!\tA\0!@ \n"\n O\r\b \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v@ A\0A\0A \tt \bAÀ\0I \tAKr"AJ\r\0 AnK\r AhF\r \0 A€Fq\r\f\v  \vO\r\f\v \0  \vـ€€\0\f\v \n O\rA\0!A\0!\t@ \n-\0\0!\b  \nAj"6\0\0@ \tAG\r\0 \bAÿqAK\r\v \bAÿ\0q \tt r!@ \bÀA\0N\r\0 \tAj!\t !\n  F\r\b\f\v\v \nAj!\b@ E\r\0A!@A\0!\tA\0!@ \b"\b O\r\n \b-\0\0!\n  \bAj"\b6\0\0@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\v \nAÿ\0q \tt r! \tAj!\t \nÀAL\r\0\v@@ A\0A\0A \tt \nAÀ\0I \tAKr"\tAJ\r\0 \tAnK\r \tAhF\r \0 \tA€Fq\r\f\v \t \vO\r\v   I"\tj! \t\r\0\v\v \b O\r\bA\0!A\0!\t@ \b-\0\0!\n  \bAj"6\0\0@ \tAG\r\0 \nAÿqAK\r\v \nAÿ\0q \tt r!@ \nÀA\0N\r\0 \tAj!\t !\b  F\r\n\f\v\v \bAj!\b@ E\r\0A!@A\0!\tA\0!@ \b"\b O\r\f \b-\0\0!\n  \bAj"\b6\0\0@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\v \nAÿ\0q \tt r! \tAj!\t \nÀAL\r\0\v@@ A\0A\0A \tt \nAÀ\0I \tAKr"\tAJ\r\0 \tAnK\r \tAhF\r \0 \tA€Fq\r\f\v \t \vO\r\v   I"\tj! \t\r\0\v\v \b O\r\nA\0!A\0!\t@ \b-\0\0!\n  \bAj"6\0\0@ \tAG\r\0 \nAÿqAK\r\v \nAÿ\0q \tt r!@ \nÀA\0N\r\0 \tAj!\t !\b  F\r\f\f\v\vA\0!\t@  \tF\r \b \tj"\nAj" O\r\f -\0\0!  \nAj6\0\0 \tAj!\t AjAÿqAI\r\0\v#€€€\0Aؓ€€\0jAº€€€\0\0\v  \vO\r\f\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A“”€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\f\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v@@ \n O\r\0A\0!A\0!\t@ \n-\0\0!\b  \nAj"6\0\0@ \tAG\r\0 \bAÿqAK\r\v \bAÿ\0q \tt r!@ \bÀA\0N\r\0 \tAj!\t !\n  F\r\f\v\v E\r \nAj!\tA\0!A!A\0!@ ! !@@@@ \t O\r\0A\0!A\0!\n@ \t-\0\0!\b  \tAj"6\0\0@ \nAG\r\0 \bAÿqAK\r\v \bAÿ\0q \nt r!@ \bÀAJ\r\0 \nAj!\n !\t  F\r\f\v\v \tAj" j"\t K\r  \t6\0\0 Aj  󁀀\0 (\r E\r@      Iˆ‚€€\0"A\0J\r\0  I\r \r\v#€€€\0A·“€€\0jA!º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A׀€€\0jAº€€€\0\0\v#€€€\0A¹€€\0jA"–€€€\0\0\v (\0\0!\t (\0!A\0!\nA\0!@@ \t"\t O\r \t-\0\0!\b  \tAj"\t6\0\0@ \nAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \nt r! \nAj!\n \bÀAL\r\0\v@@ A\0A\0A \nt \bAÀ\0I \nAKr"\nAJ\r\0 \nAnK\r \nAhF\r \0 \nA€Fq\r\f\v \n \vO\r\v   I"\nj! \n\r\f\v\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v \tA€F\r\b\v \n O\rA\0!A\0!\t@ \n-\0\0!\b  \nAj"6\0\0@ \tAG\r\0 \bAÿqAK\r\r\v \bAÿ\0q \tt r!@ \bÀAJ\r\0 \tAj!\t !\n  F\r\f\v\v \n jAj"\t K\r  \t6\0\0\v \r \r \vI"\tj! \tE\r\b\f\v\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A׀€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A÷“€€\0jAº€€€\0\0\v  6\0\f\v  6\0A!A\0!@ !\t ! \f \tAtj(\0!A\0!\tA\0!\b@@@@@@@@@  O\r -\0\0!\n@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\f\v Aj! \nAÿ\0q \tt \br!\b \tAj!\t \nÀAL\r\0\v \bA\0A\0A \tt \nAÀ\0I \tAKrAiG\r  O\rA\0!A\0!\t@ -\0\0!\n@ \tAG\r\0 \nAÿqAK\r\f\v \nAÿ\0q \tt r!@ \nÀA\0N\r\0 \tAj!\t Aj" F\r\f\v\v Aj!A\0!@  O\r\b  O\r   Ij!A\0!\bA\0!\t@ -\0\0!\n@ \tAG\r\0 \nAÿqAK\r\r\v \nAÿ\0q \tt \br!\b@ \nÀAJ\r\0 \tAj!\t Aj" F\r\f\v\v  \bjAj" K\rA\0!\tA\0!\b@  O\r -\0\0!\n@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\r\v Aj! \nAÿ\0q \tt \br!\b \tAj!\t \nÀAL\r\0\v \bA\0A\0A \tt \nAÀ\0I \tAKr"\tA\0H\r \t \vO\r \f \tAtj(\0!\nA\0!\tA\0!@ \n O\r\b \n-\0\0!\b@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\r\v \nAj!\n \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v A\0A\0A \tt \bAÀ\0I \tAKrAjF\r\0\v#€€€\0A‘“€€\0jA&º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A׀€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A蒀€\0jA)º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v   \vI"\tj! \t\r\0\v\v  (\0\x006\0@@ (\0\0"\n (\0"O\r\0A\0!A\0!@ \n-\0\0!\t  \nAj"\b6\0\0@ AG\r\0 \tAÿqAK\r\v \tAÿ\0q t r!@ \tÀA\0N\r\0 Aj! \b!\n \b F\r\f\v\v@ E\r\0 \nAj!\nA!@A\0!A\0!\b@ \n"\n O\r \n-\0\0!\t  \nAj"\n6\0\0@ AG\r\0 \tAø\0q"Aø\0F\r\0 \r\v \tAÿ\0q t \br!\b Aj! \tÀAL\r\0\v@@ \bA\0A\0A t \tAÀ\0I AKr"AJ\r\0 AnK\r AhF\r \0 A€Fq\r\f\v  \vO\r\v   I"j! \r\0\v\v  \f6\0 Aj$€€€€\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v\0#€€€\0A ˜‚€\0j)\0\v8#€€€\0!\0€€€€\0!€€€\0! \0A ˜‚€\0j)\0  AjA`qkAj­|\v\0€€€€\0€€€\0AjA`qkAj\v\0#€€€\0A¨˜‚€\0j(\0\v\f\0 \0 ր€€\0\v\f\0 \0 Œ€€\0\v \tA \0耀€\0"\0Aj(\0"AjAnAlր€€\0"Aj! A\tj"!@ E\r\0 \0AjA\bj!A\0! !A\0!\0@ "\b  \0j-\0\0"A r  A¿jAÿqAI:\0\0 \bAj! Aj"Ao!\t@ \0Aj"\0 O\r\0 \t\r\0 \bA-:\0 \bAj!A\0!\v  \0G\r\0\v\v@@ (AjAv"  k"\bAjAv"\0k"AG\r\0  \0AtjA16\0\f\v  \0F\r\0  \0Atj"\0 A~j6 \0A36\0\v Aj \b6\0 \v±\n@@@ \0Aj"(\0AF\r\0 ("A€€€€O\r \0A ր€€\0"A\tjõ€€€\0 Aj!\vA ("AjAvAlր€€\0"A\tj"! E\r A\bj!A\0!\bA\0!\0A\0! !@@@@ -\0\0"\tAú\0K\r\0@ \tASj\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\v@ \tA¿jAÿqAI\r\0@ \tAà\0K\r\0 \tAijA\0 \tANjAÿqAI!\t\f\v \tA j!\t\f\v \tA@j!\t\f\v#€€€\0Ǎ€€\0jA(–€€€\0\0\v \tAjAÿq"\tA O\r\0 At \tr! \0Aj!\t@ \0AO\r\0 \t!\0\f\v \t!\0@   \0Axj"\0v:\0\0 Aj! A \0tAsq! \0AK\r\0\v\v Aj! \bAj"\b G\r\0\f\v\v#€€€\0A܏€€\0jA–€€€\0\0\v@@ Aj"(AjAv"  k"\0AjAv"k"\tAG\r\0  AtjA16\0\f\v  F\r\0  Atj" \tA~j6 A36\0\v  \x006@@ \0AI\r\0A \0A|j"\0ր€€\0!@ \0E\r\0 A\tj A\fj \0ü\n\0\0\vA 耀€\0"Aj(\0"\tAjAnAlր€€\0"\0Aj!\n \0A\tj"!@ \tE\r\0 AjA\bj!A\0! !A\0!\0@ "  \0j-\0\0"A r  A¿jAÿqAI:\0\0 Aj! Aj"Ao!\b@ \0Aj"\0 \tO\r\0 \b\r\0 A-:\0 Aj!A\0!\v \t \0G\r\0\v\v@@ \n(AjAv"  k"\0AjAv"k"AG\r\0  AtjA16\0\f\v  F\r\0  Atj" A~j6 A36\0\v \n \x006 A\bj  \0 (" \0 Iˆ‚€€\0!  \0G\r \r \v#€€€\0AΕ€€\0jA&–€€€\0\0\v#€€€\0Aª•€€\0jA$–€€€\0\0\v\0 \0  €\0\v– \0Aj" 6\0 \0A\rj 6\0 \0Aj >\0 \0A\tj B ˆ>\0@@#€€€\0Aü—‚€\0j(\0"\0 M\r\0#€€€\0! AqE\r\0 Aj \0I\r\0 Aø—‚€\0j(\0 K\r\0#€€€\0A엂€\0j-\0\0E\r Հ€€\0\v\v\0\v\n\0 \0Aj)\0\v\n\0 \0A\rj(\0\v\n\0 \0Aj(\0\v\0#€€€\0Aؗ‚€\0j(\0\v\b\0ñ€€€\0\v¦~#€€€€\0Ak"$€€€€\0Š€€€\0!‡€€€\0!@@@@@@@@@ \0\v BX\r B\x007\0 ­B\0B\b‰€€€\0 )\0B͞ɪô¨Ò§Î\0R\r A\x006\b A\bj­"B\bB‰€€€\0 (\bAK\r A\0;\b B\fB‰€€€\0 /\bA€G\r B\x007\b BB\b‰€€€\0 )\b"B¢€T\r#€€€\0"AЗ‚€\0j 7\0 Aؗ‚€\0j€\x006\0 B\x007\b BB\b‰€€€\0 )\bBV\r\f\v PE\r \0E\rð€€€\0\f\v P\r \0E\r\0ò€€€\0\v Aj$€€€€\0\v#€€€\0A¹€€\0jA#退€\0\0\v#€€€\0AŒ€€\0jA-退€\0\0\v#€€€\0A㎀€\0jA)退€\0\0\v#€€€\0A΀€\0jA 退€\0\0\v\0\v\n\0 \0A\rj5\0\vë\t~~~~#€€€€\0Ak"$€€€€\0B!@@ A€€€ \0A\rj(\0"k­V\r\0 A\x006\b A\bj­"BB‰€€€\0 (\b!#€€€\0!‡€€€\0!\b@ AЗ‚€\0j)\0Bˆ ­ Aÿ\0j"\t §"\njAv"\v \tAv"k­|"B†|"\f \bX\r\0B! \f \b}‹€€€\0BQ\r\v  >\bB Bˆ€€€\0 \0Aj"\r \r(\f \nj"\x006\f@ \tA€I\r\0 \r( Aj"\tAÿÿq"\nAtjA\tj3\0!  \r)B|7\b B\v~"B"| B\bˆ€€€\0  \t;\b B*| Bˆ€€€\0  \0 \vAj"\tAtkA€ \t \nF:\0\b B,| Bˆ€€€\0\vA \vAtր€€\0!@ At"\0E\r\0 A\tj \r(A\tj \0ü\n\0\0\v \rAj! Aj!@ \v M\r\0 \vAj"\nAt! At jA\bj!\0@A€!\t@ Aÿÿq \nG\r\0 \r(\f k!\t\v  \r)B|7\b AÿÿqA\vl­"B"| B\bˆ€€€\0  ;\b B*| Bˆ€€€\0  \t:\0\b B,| Bˆ€€€\0 \0 ;\0 Aj! \0Aj!\0 Aj"\t! \v \tG\r\0\v\v  6\0@#€€€\0Aü—‚€\0j(\0" M\r\0#€€€\0! AqE\r\0  I\r\0 Aø—‚€\0j(\0 K\r\0#€€€\0A엂€\0j-\0\0E\r Հ€€\0\v ­!\v Aj$€€€€\0 \v\0\vA#€€€€\0Ak"$€€€€\0 A\0:\0 \0  AjA󀀀\0 -\0!\0 Aj$€€€€\0 \0\vA#€€€€\0Ak"$€€€€\0 A\0; \0  AjA󀀀\0 /!\0 Aj$€€€€\0 \0\vA#€€€€\0Ak"$€€€€\0 A\x006\f \0  A\fjA󀀀\0 (\f!\0 Aj$€€€€\0 \0\vA#€€€€\0Ak"$€€€€\0 B\x007\b \0  A\bjA\b󀀀\0 )\b! Aj$€€€€\0 \vC|#€€€€\0Ak"$€€€€\0 B\x007\b \0  A\bjA\b󀀀\0 +\b! Aj$€€€€\0 \vyA ր€€\0"Aj!@@ AÿÿÿÿI\r\0 Av"AÿÿÿÿF\r \0  A\bj" 󀀀\0 \0  ­|  j  k󀀀\0 \v \0  A\bj 󀀀\0 \v\0\v8#€€€€\0Ak"$€€€€\0  :\0 \0  AjAô€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  ; \0  AjAô€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  6\f \0  A\fjAô€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  7\b \0  A\bjA\bô€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  9\b \0  A\bjA\bô€€€\0 Aj$€€€€\0\vk A\tj!@@ Aj(\0"AÿÿÿÿI\r\0 Av"AÿÿÿÿF\r \0   ô€€€\0 \0  ­|  j  kô€€€\0\v \0   ô€€€\0\v\0\v\0\0\v#~ \0)\b" ­ ­"ˆ€€€\0 \0  |7\b\vL \0 > \0 §"6\b \0 B ˆ> \0 6 \0#‚€€€\0A‚€€€\0j6 \0 B ˆ§"6 \0 6\f\v˜ \0($!@@@ AI\r\0 \0)B\0R\r\v  j" \0(M\r\v@ A!I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0 \0A 6$\v \0   \0( €€€€\0€€€€\0\v \0 6$@ E\r\0 \0 jA\bj  ü\n\0\0\v\v[@ \0($"A!I\r\0  \0(I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0A ! \0A 6$\v \0 j :\0\b \0 \0($Aj6$\vR@ \0($"A!I\r\0  j \0(M\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0A !\v \0  j6$ \0 jA\bj\v@ \0(" \0($"M\r\0@@ AjAv" AjAv"k"AG\r\0 \0 AtjA16\b\f\v  F\r\0 \0 Atj" A~j6\f A36\b\v \0($!\v \0A6 \0A6 \0 A`j6$ \0Aj\v6@ \0($"A!I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0 \0A 6$\v\vL@ A€€€€O\r\0A ր€€\0!@ E\r\0 A\tj \0 ü\n\0\0\v \v#€€€\0A܏€€\0jA–€€€\0\0\vÚ~@ \0Aj(\0"\r\0 \v@ Aj(\0"\r\0 \0\v@@@@  j"A\tI\r\0 AÿÿÿÿK\r@€€€€\0"­"B|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r B€|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0 A\rj 6\0 A\tj \x006\0 Aj 6\0 AjA%6\0 \vA ր€€\0"A\tj!@ E\r\0  \0A\tj ü\n\0\0\v@ E\r\0  j A\tj ü\n\0\0\v \v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A‚–€€\0jA–€€€\0\0\vÖ@@@ Aj"(\0Agj\0\0\v \0 (\b¿€€\0 (\f!\f\0\v\v A\bj! \0($!@@@ ("AI\r\0 \0)B\0R\r\v  j" \0(M\r\v@ A!I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0 \0A 6$\v \0   \0( €€€€\0€€€€\0\v \0 6$@ E\r\0 \0 jA\bj  ü\n\0\0\v\v]@ \0Aj(\0AG\r\0 \0\v@ \0Aj(\0"A€€€€O\r\0 \0A ր€€\0"A\tjõ€€€\0 \v#€€€\0A܏€€\0jA–€€€\0\0\v–#€€€€\0Ak"$€€€€\0 A\x006\f@@@ \0A€I\r\0 \0A€I\r@ \0A€€I\r\0  \0A?qA€r:\0  \0AvAðr:\0\f  \0AvA?qA€r:\0  \0A\fvA?qA€r:\0\rA!\0\f\v  \0A?qA€r:\0  \0A\fvAàr:\0\f  \0AvA?qA€r:\0\rA!\0\f\v  \0:\0\fA!\0\f\v  \0A?qA€r:\0\r  \0AvAÀr:\0\fA!\0\vA \0ր€€\0!@ \0E\r\0 A\tj A\fj \0ü\n\0\0\v Aj$€€€€\0 \vè\b#€€€€\0Ak"$€€€€\0@@ \0Aj"(\0AF\r\0 ("A€€€€O\r \0A ր€€\0"A\tjõ€€€\0 Aj!\v Aj A\bj (聀€\0 (\b!A (\f"ր€€\0!@ E\r\0 Aj! 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A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \f\v#€€€\0! \0( "A)O\r@ \r\0 \0A\x006  \0\v A°Â€€\0j Atj5\0!\b AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0 \b~ \t|"\t>\0 Aj" 5\0 \b~ \tB ˆ|"\t>\0 A\bj" 5\0 \b~ \tB ˆ|"\t>\0 A\fj" 5\0 \b~ \tB ˆ|"\n>\0 \nB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6  \0\v@ A\bqE\r\0 \0( "A)O\r@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0Báë~ \t|"\b>\0 Aj" 5\0Báë~ \bB ˆ|"\b>\0 A\bj" 5\0Báë~ \bB ˆ|"\b>\0 A\fj" 5\0Báë~ \bB ˆ|"\b>\0 \bB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0Báë~ \t|"\b>\0 Aj! \bB ˆ!\t Aj"\r\0\v\v \bB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \v@ AqE\r\0 \0#€€€\0A„·€€\0jA끀€\0\v@ A qE\r\0 \0#€€€\0AŒ·€€\0jA끀€\0\v@ AÀ\0qE\r\0 \0#€€€\0A˜·€€\0jA끀€\0\v@ A€qE\r\0 \0#€€€\0A¬·€€\0jA\n끀€\0\v@ A€qE\r\0 \0#€€€\0AÔ·€€\0jA끀€\0\v \0 쁀€\0 \0\v\0\vª\r~~#€€€€\0A k"$€€€€\0@A E\r\0 A\0A ü\v\0\v@@@ \0( " I\r\0 A)O\r  Atj!@ \r\0A\0!A\0!@  F\r Aj! (\0!\b Aj"\t! \bE\r\0  Aj"  K! \t!\f\0\v\v Aj!\n \0 Atj!\vA\0!\b \0 A\0GAtj! AjAÿÿÿÿq!\fA\0!@  \bAtj!\t@ \b!\r \t!  F\r Aj!\t \rAj!\b (\0! Aj"! E\r\0\v ­!B\0!A!\t ! \0!@ ! \b \tjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj!   \vGAtj! ! \f \tAj"\tG\r\0\v !@ B€€€€T\r\0 \r j"A(O\r  Atj §6\0 \n!\v   \rj"  K! !\f\0\v\v A)O\r\0 Aj! Aj!\n AjAÿÿÿÿq!\f  Atj! \0 Atj!\vA\0!\t \0!\bA\0!@  \tAtj!\r@ \t! \r! \b \vF\r Aj!\r Aj!\t \b(\0! \bAj"!\b E\r\0\v ­!B\0!A!\r \n! !@ !\b \t \rjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj! \b \b GAtj! \b! \f \rAj"\rG\r\0\v !@ B€€€€T\r\0  j"A(O\r  Atj §6\0 !\v   j"  K! !\b\f\0\v\v\0\v@A E\r\0 \0 A ü\n\0\0\v \0 6  A j$€€€€\0 \0\vÜ\t@@ A€\nO\r\0 Av!@ \0( "E\r\0 Aj! At \0jA|j!  jAt \0jA|j! A)I!@ E\r  jA(O\r  (\x006\0 A|j! A|j! Aj"\r\0\v\v Aq!@ A I\r\0 At"E\r\0 \0A\0 ü\v\0\v \0( " j!@ \r\0 \0 6  \0\v Aj"A\'K\r\0 !\b \0 Atj(\0A\0 k"v"E\r A\'K\r\0 \0 Atj 6\0 Aj!\b\f\v\0\v@ Aj"\t O\r\0 Aq!@ Aq\r\0 At! \0 Aj"Atj"  \0Axjj(\0 v (\0 tr6\0\v AF\r\0 At \0jAtj!@ A\bj" Aj"(\0"\n v (\0 tr6\0  (\0 v \n tr6\0 Axj! \t A~j"I\r\0\v\v \0 Atj" (\0 t6\0 \0 \b6  \0\v 3~#€€€€\0A \nk"$€€€€\0@ )\0"B\0Q\r\0 )\b"B\0Q\r\0 )"B\0Q\r\0  |"\b T\r\0  T\r\0 AM\r\0 ,\0!\t .!  >\0 AA B€€€€T"\n6  A\0 B ˆ§ \n6@A˜E"\n\r\0 A\bjA\0A˜ü\v\0\v  >¤ AA B€€€€T"\v6Ä A\0 B ˆ§ \v6¨@ \n\r\0 A¤jA\bjA\0A˜ü\v\0\v  >È AA B€€€€T"\v6è A\0 B ˆ§ \v6Ì@ \n\r\0 AÈjA\bjA\0A˜ü\v\0\v@AœE\r\0 AðjA\0Aœü\v\0\v A6ì A6Œ ¬ \bB|y}BšÁè~B€¡Í ´|B ˆ§"\nÁ!\f@@ A\0H\r\0  쁀€\0 A¤j 쁀€\0 AÈj 쁀€\0\f\v AìjA\0 kÁ쁀€\0\v@@ \fAJ\r\0 A\0 \fkAÿÿq"ꁀ€\0 A¤j ꁀ€\0 AÈj ꁀ€\0\f\v Aìj \nAÿÿqꁀ€\0\v@A¤E\r\0 Aü\bj A¤ü\n\0\0\v (è"\r (œ\n" \r K"A(K\r\0@@ \r\0A\0!\f\v Aq!@@ AG\r\0A\0!A\0!\f\v A>q!A\0! Aü\bj! AÈj!\nA\0!@  (\0" \n(\0j"\v Aqj"6\0 Aj" (\0" \nAj(\0j" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ E\r\0 Aü\bj At"j"\n \n(\0"\n AÈj j(\0j" j"\v6\0  \nI \v Ir!\v AqE\r\0 A(F\r Aü\bj AtjA6\0 Aj!\v  6œ\n  (Œ"  K"A)O\r\0 At!@@@ E\r A|j" Aìjj(\0"\n  Aü\bjj(\0"\vF\r\0\v \n \vK \n \vIk!\f\vAA\0 !\v@@  \tH\r\0 ( "A)O\r@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 !B\0!\f\v \vAüÿÿÿq!\v !B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v B€€€€T\r\0 A(F\r  Atj §6\0 Aj!\v  6  (Ä"A)O\rA\0!A\0!@ E\r\0 AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 A¤j!B\0!\f\v \vAüÿÿÿq!\v A¤j!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0 !\f\v A(F\r A¤j Atj §6\0 Aj!\v  6Ä@ \rE\r\0 \rAjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 AÈj!B\0!\f\v \vAüÿÿÿq!\v AÈj!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0  \r"6è\f\v \rA(F\r AÈj \rAtj §6\0 \rAj!\v  6è\f\v \fAj!\f \r!\v@A¤E\r\0 Aj AìjA¤ü\n\0\0\v (°"E\r\0 A(K\r\0 !@ Aj AtjA|j(\0"\nAJ\r\0 A(F\r Aj Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 Aj Aj"\nAtj"\v \v(\0At Aˆj Atj(\0Avr6\0\v AF\r\0 \nAt AjjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  6°  (At6@A¤E\r\0 A´j AìjA¤ü\n\0\0\v (Ô"E\r\0 A(K\r\0 !@ A´j AtjA|j(\0"\nA€€€€I\r\0 A(F\r A´j Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 A´j Aj"\nAtj"\v \v(\0At A¬j Atj(\0Avr6\0\v AF\r\0 \nAt A´jjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  6Ô  (´At6´@A¤E\r\0 AØj AìjA¤ü\n\0\0\v (ø\b"E\r\0 A(K\r\0 !@ AØj AtjA|j(\0"\nA€€€€I\r\0 A(F\r AØj Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 AØj Aj"\nAtj"\v \v(\0At AÐj Atj(\0Avr6\0\v AF\r\0 \nAt AØjjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  (ØAt6Ø  6ø\b  ( "  K"A(K\r\0A\0!@@@ ! 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AjA?q­!B!@@  ˆP\r\0 \0A\x006\0\f\v  O\r  j B\n~" \nˆ§A0j:\0\0 B\n~!  \rƒ!  Aj"G\r\0\v \0       \f ñ€€\0\f\v \0      \v­ \n† | \b­ \n† \fñ€€\0\f\v \0A\x006\0\f\v\0\v \0A\x006\0\v Aj$€€€€\0\vö@@@@  \bX\r\0  \b} \bX\r@@@@  } X\r\0  B†} \bB†Z\r\v  \bV\r\f\v  K\r\f\v   \b}"\b} \bV\r  K\r\0  j!\tA\0!\n !\v@@@  \nF\r \nAj!\n \vAj"\v j"\f-\0\0A9F\r\0\v \f \f-\0\0Aj:\0\0  \nkAj O\r \nAj"\nE\r \fAjA0 \nü\v\0\f\v@@ \r\0A1!\n\f\v A1:\0\0@ AG\r\0A0!\n\f\vA0!\n Aj"\vE\r\0 AjA0 \vü\v\0\v AjÁ!  O\r\0  ÁL\r\0 \t \n:\0\0 Aj!\v  M\r\v\0\v \0A\x006\0\v \0A\x006\0\v \0 ;\b \0 6 \0 6\0\v \0A\x006\0\v±\b#€€€€\0Ak"$€€€€\0  6  \x006\0 B €€€7\b@@@@@ ("E\r\0 ("\0\r\f\v (\f"E\r (\b" Atj! A\bj! AjAÿÿÿÿqAj! (\0!\0A\0!\b@ !@ \0Aj(\0"E\r\0 (\0 \0(\0  ((\f€€€\0€€€€\0E\r\0A!\f\v@ (\0  (‚€€€\0€€€€\0E\r\0A!\f\v \0A\bj!\0   GAtj! !  \bAj"\bF\r\f\0\v\v  \0Alj!\t Aj! \0AjAÿÿÿÿqAj! (\b!\n (\0!A\0!@ !\0@ Aj(\0"E\r\0 (\0 (\0  ((\f€€€\0€€€€\0E\r\0A!\f\vA\0!A\0!\b@@@ /\b\0\0\v /\n!\b\f\v \n (\fAtj/!\b\v@@@ /\0\0\0\v /!\f\v \n (Atj/!\v  ;  \b;\f  (6\b@ \n (Atj"(\0  (‚€€€\0€€€€\0E\r\0A!\f\v A\bj! \0A\0A \0 \tFj! \0!  Aj"F\r\f\0\v\vA\0!\v@  (O\r\0 (\0 (\0 Atj"(\0 ( ((\f€€€\0€€€€\0E\r\0A!\f\vA\0!\v Aj$€€€€\0 \v÷~@ E\r\0A\0 Ayj"  K! AjA|q k!A\0!@@@@@  j-\0\0"À"A\0H\r\0  kAq\r  O\r@  j"Aj(\0 (\0rA€‚„xq\r A\bj" I\r\0\f\v\vB€€€€€ !\bB€€€€!\t@@@@@@@@@@@@#€€€\0A´Ã€€\0j j-\0\0A~j\0\n\v Aj" I\rB\0!\bB\0!\t\f\t\vB\0!\b Aj"\n I\rB\0!\t\f\b\vB\0!\b Aj"\n I\rB\0!\t\f\vB€€€€€ !\bB€€€€!\t  j,\0\0A¿J\r\f\v  \nj,\0\0!\n@@@ A ~j\0\v \nA`qA F\r\f\v \nAŸJ\r\f\v@ AjAÿqA\fI\r\0 A~qAnG\r \nA@H\r\f\v \nA@H\r\f\v  \nj,\0\0!\n@@@@ A~j\0\0\0\0\v AjAÿqAK\r \nA@N\r\f\v \nAð\0jAÿqA0O\r\f\v \nAJ\r\v@ Aj" I\r\0B\0!\t\f\v  j,\0\0A¿J\rB\0!\t Aj" O\r  j,\0\0A@H\rB€€€€€à\0!\b\f\vB€€€€€ !\b\f\vB\0!\t Aj" O\r  j,\0\0A¿L\r\vB€€€€€À\0!\b\vB€€€€!\t\v \0 \b ­„ \t„7 \0A6\0\v Aj!\f\v Aj!\f\v  O\r\0@  j,\0\0A\0H\r  Aj"G\r\0\f\v\v  I\r\0\v\v \0 6\b \0 6 \0A\x006\0\v³\n~~~#€€€€\0Aà\bk"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\f \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\f\v  \f;Ø\b  7Ð\b B7È\b  \n7À\b  :\0Ú\b@@@@@@ A~j"\tE\r\0 Aÿÿq!\rA!#€€€\0"Aက\0j" A \0j B\0S" A  !A B?ˆ§ ! \tA \tAIAj\v A6ˆ\b A;€\b #€€€\0A　\0j6„\bA!A\0!A!\f\v A6ˆ\b A;€\b #€€€\0A怀\0j6„\b\f\vA! A;€\b AÿÿqE\r  \r6\b A\0;Œ\b A6ˆ\b #€€€\0AÙ€€\0j6„\b\f\v@AtA \fÁ"A\0H l"AÀý\0O\r\0 A€\bj AÀ\bj  AvAj"\tA\0 kA€€~ ÁAJ"ð€€\0 Á!@@ (€\bE\r\0 A°\bjA\bj A€\bjA\bj(\x006\0  )€\b7°\b\f\v A°\bj AÀ\bj  \t €\0\v@ .¸\b"\t L\r\0 (´\b"\fE\r (°\b"-\0\0A0M\r A;€\b@@@@@ \tAH\r\0  6„\b \f \tK\r A\0;Œ\b  \f6ˆ\b  \t \fk6\b Aÿÿq\rA!\f\b\v  6œ\b A;˜\b A6ˆ\b #€€€\0AÙ€€\0j6„\b A\0;Œ\b A\0 \tk"6\b  \f6 \bA! \r \fM\r \r \fk"\f M\r \f \tj!\r\f\v A;˜\b A6”\b A;Œ\b #€€€\0AØ€€\0j6\b  \t6ˆ\b  \f \tk"6 \b   \tj6œ\b \r K\rA!\f\v A6 \b A;˜\b #€€€\0AØ€€\0j6œ\b\f\v \r k!\r\v  \r6¨\b A\0;¤\bA!\f\vA! A;€\b@ Aÿÿq\r\0A! A6ˆ\b #€€€\0A退\0j6„\b\f\v  \r6\b A\0;Œ\b A6ˆ\b #€€€\0AÙ€€\0j6„\b\f\v\0\vA! A6ˆ\b #€€€\0A退\0j6„\b\v  6¼\b  6´\b  6°\b  A€\bj6¸\b \0 A°\bjõ€€\0! Aà\bj$€€€€\0 \vž~#€€€€\0Ak"$€€€€\0@@ \0/\f"\r\0 \0(\0 \0( ù€€\0!\f\v A\bj A\bj)\x007\0  )\x007\0@@@ \0)\b"§"A€€€\bq\r\0 (!\f\v \0(\0 (\0 (" \0((\f€€€\0€€€€\0\r \0 A€€€ÿyqA°€€€r"6\b B7\0A\0!A\0  Aÿÿqk"  K!\v@ (\f"E\r\0 (\b! A\fl!\b@@@@@ /\0\0\0\v Aj(\0!\f\v A\bj(\0!\f\v@ Aj/\0"\tAèI\r\0AA \tAÎ\0I!\f\vA! \tA\nI\r\0AA \tAä\0I!\v A\fj!  j! \bAtj"\b\r\0\v\v@@  AÿÿqO\r\0  k!\nA\0!A\0!\t@@@ AvAq\0\0\v \n!\t\f\v \nAþÿqAv!\t\v Aÿÿÿ\0q!\b \0(! \0(\0!@ Aÿÿq \tAÿÿqO\r Aj!  \b (‚€€€\0€€€€\0E\r\0\f\v\v \0(\0 \0( ù€€\0! \0 7\b\f\v   ù€€\0\r\0A\0! \n \tkAÿÿq!\t@@ Aÿÿq" \tI!  \tO\r Aj!  \b (‚€€€\0€€€€\0E\r\0\v\v \0 7\b\f\vA!\v Aj$€€€€\0 \v¼\b~~~#€€€€\0Ak"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;x  7p B7h  \n7`  :\0z@@@@@@@@ A~j"\tE\r\0A!#€€€\0"\fAက\0j"\r \fA \0j B\0S"\f \rA \f !\fA B?ˆ§ ! \tA \tAIAj\v A6( A; #€€€\0A　\0j6$A!\fA\0!A!\f\v A6( A; #€€€\0A怀\0j6$\f\v AÐ\0j Aà\0j AjA€\0@@ (PE\r\0 A€jA\bj AÐ\0jA\bj(\x006\0  )P7€\f\v A€j Aà\0j AjA큀€\0\v („"\tE\r (€"\r-\0\0A0M\r .ˆ! 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A\0;¬\b   \bk6°\bA!\b\f\v A6\b A;ˆ\b #€€€\0A　\0j6Œ\bA!A\0!\f\v A;\f A;\0 A \vk \vAj \vAH"; AA 6\b #€€€\0"\vA߀€\0j \vAÝ€€\0j  \vAÜ€€\0j \vAÛ€€\0j  6\f\v A6\b A;ˆ\b #€€€\0A퀀\0Aꀀ\0 j6Œ\b\vA!\b\v  \b6Ü\b  6Ô\b  6Ð\b  Aˆ\bj6Ø\b \0 AÐ\bjõ€€\0!\b A\tj$€€€€\0 \b\v\0\vÅ~~~#€€€€\0A k"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;ˆ  7€ B7x  \n7p  :\0Š@@@@@@ A~j"E\r\0A!\t#€€€\0"\fAက\0j"\r \fA \0j B\0S"\f \rA \f !\fA B?ˆ§ ! A AIAj\v A6 A; #€€€\0A　\0j6A!\fA\0!A!\t\f\v A6 A; #€€€\0A怀\0j6\f\v A6 A; #€€€\0A퀀\0Aꀀ\0 j6\f\v Aà\0j Að\0j AjA€\0@@ (`E\r\0 AjA\bj Aà\0jA\bj(\x006\0  )`7\f\v Aj Að\0j AjA큀€\0\v (”"\tE\r ("-\0\0A0M\r .˜!\r  6 A; A6 @@ \tAG\r\0 A$j!A!\t\f\v A\0 \0A|j!\0 A|j! 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Aj"AK\r\0\v\v ¥‚€€\0\v Aj$€€€€\0 \v•#€€€€\0Ak"$€€€€\0@@ ( \0(\0"J\r\0  Aj¤‚€€\0"\r\v@ \0(\bAG\r\0 A\bj" \0A\bj)\x007\0 A\x006\0  \0)\x007\0   À‚€€\0! A6\b ¥‚€€\0\f\v (\f! \0(\f! (\0!@@@@ \0(\0"\0\v  (\0"\bI\r  \bk!\v  6\0A! A6\0 A6\b Aj!\f\v  6\0A\0! A\x006\b \0(\0AH\r\0A\0!@  (\0 k"Aÿÿÿÿ\0q6\0 Aj! Aj! Av! Aj" \0(\0H\r\0\v\v@  k"AH\r\0 Aj!@ A\x006\0 Aj! 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It is available via `import Prim "mo:⛔"`. Normal user code would\nusually not import that module directly, but through `base`, which takes\ncare of providing a proper module structure, e.g. exposing `Array_tabulate`\nthrough `Array.tabulate`.\n\nTherefore, the prim module does not need to provide a stable interface, as its\nonly supported consumer is the `base` library, and that is bundled with the\ncompiler.\n\nNevertheless, it shoud be _safe_ to import prim, i.e. the definitions here\nshould not break type safety or other guarantees of the language.\n*/\n\nmodule Types = {\n public type Any = prim "Any";\n public type None = prim "None";\n public type Null = prim "Null";\n public type Bool = prim "Bool";\n public type Nat = prim "Nat";\n public type Nat8 = prim "Nat8";\n public type Nat16 = prim "Nat16";\n public type Nat32 = prim "Nat32";\n public type Nat64 = prim "Nat64";\n public type Int = prim "Int";\n public type Int8 = prim "Int8";\n public type Int16 = prim "Int16";\n public type Int32 = prim "Int32";\n public type Int64 = prim "Int64";\n public type Float = prim "Float";\n public type Float32 = prim "Float32";\n public type Char = prim "Char";\n public type Text = prim "Text";\n public type Blob = prim "Blob";\n public type Error = prim "Error";\n public type Principal = prim "Principal";\n public type Region = prim "Region";\n};\n\nfunc abs(x : Int) : Nat { (prim "abs" : Int -> Nat) x };\nfunc shiftLeft(x : Nat, shift : Nat32) : Nat {\n (prim "lsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\nfunc shiftRight(x : Nat, shift : Nat32) : Nat {\n (prim "rsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\n\n// for testing\nfunc idlHash(x : Text) : Nat32 { (prim "idlHash" : Text -> Nat32) x };\n\n// Printing\n\nfunc debugPrint(x : Text) { (prim "print" : Text -> ()) x };\nfunc debugPrintNat(x : Nat) { debugPrint(@text_of_Nat x) };\nfunc debugPrintInt(x : Int) { debugPrint(@text_of_Int x) };\nfunc debugPrintChar(x : Char) { debugPrint(charToText x) };\n\n// Trapping\n\nfunc trap(x : Text) : None { (prim "trap" : Text -> None) x };\n\n// RTS stats\n\nfunc rts_version() : Text { (prim "rts_version" : () -> Text)() };\nfunc rts_memory_size() : Nat { (prim "rts_memory_size" : () -> Nat)() };\nfunc rts_heap_size() : Nat { (prim "rts_heap_size" : () -> Nat)() };\nfunc rts_total_allocation() : Nat {\n (prim "rts_total_allocation" : () -> Nat)();\n};\nfunc rts_reclaimed() : Nat { (prim "rts_reclaimed" : () -> Nat)() };\nfunc rts_max_live_size() : Nat { (prim "rts_max_live_size" : () -> Nat)() };\nfunc rts_max_stack_size() : Nat { (prim "rts_max_stack_size" : () -> Nat)() };\nfunc rts_callback_table_count() : Nat {\n (prim "rts_callback_table_count" : () -> Nat)();\n};\nfunc rts_callback_table_size() : Nat {\n (prim "rts_callback_table_size" : () -> Nat)();\n};\nfunc rts_mutator_instructions() : Nat {\n (prim "rts_mutator_instructions" : () -> Nat)();\n};\nfunc rts_collector_instructions() : Nat {\n (prim "rts_collector_instructions" : () -> Nat)();\n};\nfunc rts_lifetime_instructions() : Nat {\n (prim "rts_lifetime_instructions" : () -> Nat)();\n};\nfunc rts_upgrade_instructions() : Nat {\n (prim "rts_upgrade_instructions" : () -> Nat)();\n};\n\nfunc rts_stable_memory_size() : Nat {\n (prim "rts_stable_memory_size" : () -> Nat)();\n};\n\nfunc rts_logical_stable_memory_size() : Nat {\n (prim "rts_logical_stable_memory_size" : () -> Nat)();\n};\n\n//TODO: just call this `weak`?\nfunc allocWeakRef(obj : T) : weak T {\n (prim "alloc_weak_ref" : T -> weak T)(obj);\n};\n\nfunc weakGet(w : weak T) : ?T {\n (prim "weak_get" : weak T -> ?T)(w);\n};\n\nfunc isLive(weak_ref : weak Any) : Bool {\n (prim "weak_ref_is_live" : weak Any -> Bool)(weak_ref);\n};\n\nfunc envVarNames() : [Text] {\n (prim "env_var_names" : () -> [Text])();\n};\n\nfunc envVar(name : Text) : ?Text {\n (prim "env_var" : Text -> ?Text)(name);\n};\n\n/// EXPERIMENTAL SECTION AND API. DO NOT USE IN PRODUCTION CODE!\n///\ntype __WeakRef = {\n ref : weak Blob;\n};\ntype __List = {\n var next : ?__List;\n value : ?__WeakRef;\n originalBlob : Blob;\n index : Nat;\n};\nfunc __getDedupTable() : ?[var __List] {\n (prim "get_dedup_table" : () -> ?[var __List])();\n};\n\nclass BlobIterator(hash : [var __List]) {\n let HASH_ARRAY_SIZE = 16_384;\n var currentIndex : Nat = 0;\n var currentList : ?__List = null;\n let hashArray = hash;\n\n // Counts the number of dead blobs.\n public func size() : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n var list = hashArray[i];\n label countLoop loop {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) {};\n case null { len += 1 };\n };\n };\n case null {};\n };\n let next = list.next;\n switch next {\n case (?next) { list := next };\n case null { break countLoop };\n };\n };\n i += 1;\n };\n len;\n };\n\n func getDeadBlobFromListNode(list : ?__List) : ?Blob {\n switch list {\n case (?myList) {\n let weakRef = myList.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) { return null };\n case null { return ?myList.originalBlob };\n };\n };\n case null { return null };\n };\n };\n case null { return null };\n };\n };\n\n func advanceListNode(list : ?__List) : ?__List {\n switch list {\n case (?list) { list.next };\n case null { null };\n };\n };\n\n public func nextDeadBlob() : Blob {\n // Start at the current index and list.\n loop {\n // Get the blob from the current list node.\n let blob = getDeadBlobFromListNode(currentList);\n switch blob {\n // If we found a blob, return it.\n case (?blob) {\n // Advance to the next list node.\n // So that next time we call nextDeadBlob(), we get the next blob.\n currentList := advanceListNode(currentList);\n return blob;\n };\n case null {\n // If we didn\'t find a blob, advance to the next list node.\n currentList := advanceListNode(currentList);\n\n switch currentList {\n case (?_) {};\n // If we reached the end of the list, advance to the next index.\n case null {\n currentIndex += 1;\n // If we reached the end of the hash array, return null.\n if (currentIndex >= HASH_ARRAY_SIZE) {\n return "";\n };\n // Get the new list node.\n currentList := ?hashArray[currentIndex];\n };\n };\n\n };\n };\n };\n "";\n };\n\n func computeIndex(b : Blob) : Nat {\n // Append the magic bytes to compute the hash.\n let magicBytes : [Nat8] = [0x21, 0x63, 0x61, 0x66, 0x21];\n let originalBlob : [Nat8] = blobToArray(b);\n let concat = Array_tabulate(magicBytes.size() + originalBlob.size(), func(i : Nat) : Nat8 = if (i < magicBytes.size()) { magicBytes[i] } else { originalBlob[i - magicBytes.size()] });\n let bWithMagic = arrayToBlob(concat);\n // Get hash bucket.\n let hashValue = hashBlob(bWithMagic);\n nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n };\n\n public func isBlobLive(b : Blob) : Bool {\n let index = computeIndex(b);\n var list = hashArray[index];\n // Walk the list and check if the blob is live.\n loop {\n if (blobCompare(list.originalBlob, b) == 0) {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) { return isLive(weakRef.ref) };\n // The weak ref should not be null, but just in case.\n case null { return false };\n };\n } else {\n // Advance to the next list node.\n let next = list.next;\n switch next {\n case (?next) { list := next };\n // If we reached the end of the list, return false.\n case null { return false };\n };\n };\n };\n };\n\n func pruneFirstElement(list : __List, b : Blob, index : Nat) : Bool {\n let deadBlob = getDeadBlobFromListNode(?list);\n switch deadBlob {\n case (?deadBlob) {\n if (blobCompare(deadBlob, b) == 0) {\n let nextElem = list.next;\n switch nextElem {\n case (?next) { hashArray[index] := next; return true };\n case null {\n // Do nothing. This case should not happen as the array is initialized\n // with a sentinel (empty) value that is non-null.};\n };\n };\n };\n };\n // No dead blob in this list node.\n case null {};\n };\n false;\n };\n\n public func pruneDeadBlobs(confirmedDeadBlobs : [Blob]) {\n // For each element in the confirmedDeadBlobs array, we check if it is in the hash array.\n // If it is, and if the corresponding WeakRef is null, we remove the whole list node\n // from the hash array.\n var i = 0;\n while (i < confirmedDeadBlobs.size()) {\n let b = confirmedDeadBlobs[i];\n // Get hash bucket.\n let index = computeIndex(b);\n // Get the list of the hash bucket and walk it until we find the blob b.\n let list = hashArray[index];\n // Special case for the first list node.\n let pruned = pruneFirstElement(list, b, index);\n if (pruned == false) {\n // If we\'re here, we know that the blob is not the first list node.\n // So we can advance to the next list node.\n var prev = ?list;\n var crntNode = advanceListNode(?list);\n label findLoop loop {\n let crntBlob = getDeadBlobFromListNode(crntNode);\n switch crntBlob {\n case (?crntBlob) {\n if (blobCompare(crntBlob, b) == 0) {\n // We found the blob and we know for sure it\'s dead.\n // We just need to prune the current list node.\n switch (prev, crntNode) {\n case (?prev, ?crntNode) {\n prev.next := crntNode.next;\n // Break the loop, we found the blob and pruned.\n break findLoop;\n };\n case _ {};\n };\n };\n };\n case null {\n // No dead blob in this list node.\n // We can advance pointers.\n prev := crntNode;\n crntNode := advanceListNode(crntNode);\n };\n };\n switch crntNode {\n case (?crntNode) {};\n // We reached the end, break.\n case null { break findLoop };\n };\n };\n };\n // Continue loop.\n i += 1;\n };\n\n };\n\n};\n\nfunc getDeadBlobs() : ?[Blob] {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n let numDeadBlobs = dedupTableIter.size();\n let deadBlobs = Array_tabulate(numDeadBlobs, func(i : Nat) : Blob { dedupTableIter.nextDeadBlob() });\n return ?deadBlobs;\n };\n case null { return null };\n };\n\n};\n\nfunc pruneConfirmedDeadBlobs(confirmedDeadBlobs : [Blob]) {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n dedupTableIter.pruneDeadBlobs(confirmedDeadBlobs);\n };\n };\n};\n\nfunc isStorageBlobLive(b : Blob) : Bool {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let iter = BlobIterator(dedupTable);\n iter.isBlobLive(b);\n };\n case null { false };\n };\n};\n///\n/// END EXPERIMENTAL SECTION.\n\n// Total conversions (fixed to big)\n\nlet int64ToInt = @int64ToInt;\nlet int32ToInt = @int32ToInt;\nlet int16ToInt = @int16ToInt;\nlet int8ToInt = @int8ToInt;\nlet nat64ToNat = @nat64ToNat;\nlet nat32ToNat = @nat32ToNat;\nlet nat16ToNat = @nat16ToNat;\nlet nat8ToNat = @nat8ToNat;\n\n// Trapping conversions (big to fixed)\n\nfunc intToInt64(n : Int) : Int64 = (prim "num_conv_Int_Int64" : Int -> Int64) n;\nfunc intToInt32(n : Int) : Int32 = (prim "num_conv_Int_Int32" : Int -> Int32) n;\nfunc intToInt16(n : Int) : Int16 = (prim "num_conv_Int_Int16" : Int -> Int16) n;\nfunc intToInt8(n : Int) : Int8 = (prim "num_conv_Int_Int8" : Int -> Int8) n;\n\nfunc natToNat64(n : Nat) : Nat64 = (prim "num_conv_Nat_Nat64" : Nat -> Nat64) n;\nfunc natToNat32(n : Nat) : Nat32 = (prim "num_conv_Nat_Nat32" : Nat -> Nat32) n;\nfunc natToNat16(n : Nat) : Nat16 = (prim "num_conv_Nat_Nat16" : Nat -> Nat16) n;\nfunc natToNat8(n : Nat) : Nat8 = (prim "num_conv_Nat_Nat8" : Nat -> Nat8) n;\n\n// Wrapping conversions (big to fixed, and within fixed)\n\nfunc intToInt64Wrap(n : Int) : Int64 = (prim "num_wrap_Int_Int64" : Int -> Int64) n;\nfunc intToInt32Wrap(n : Int) : Int32 = (prim "num_wrap_Int_Int32" : Int -> Int32) n;\nfunc intToInt16Wrap(n : Int) : Int16 = (prim "num_wrap_Int_Int16" : Int -> Int16) n;\nfunc intToInt8Wrap(n : Int) : Int8 = (prim "num_wrap_Int_Int8" : Int -> Int8) n;\n\nfunc intToNat64Wrap(n : Int) : Nat64 = (prim "num_wrap_Int_Nat64" : Int -> Nat64) n;\nfunc intToNat32Wrap(n : Int) : Nat32 = (prim "num_wrap_Int_Nat32" : Int -> Nat32) n;\nfunc intToNat16Wrap(n : Int) : Nat16 = (prim "num_wrap_Int_Nat16" : Int -> Nat16) n;\nfunc intToNat8Wrap(n : Int) : Nat8 = (prim "num_wrap_Int_Nat8" : Int -> Nat8) n;\n\n// Across same width\nfunc int64ToNat64(n : Int64) : Nat64 = (prim "num_wrap_Int64_Nat64" : Int64 -> Nat64) n;\nfunc nat64ToInt64(n : Nat64) : Int64 = (prim "num_wrap_Nat64_Int64" : Nat64 -> Int64) n;\nfunc int32ToNat32(n : Int32) : Nat32 = (prim "num_wrap_Int32_Nat32" : Int32 -> Nat32) n;\nfunc nat32ToInt32(n : Nat32) : Int32 = (prim "num_wrap_Nat32_Int32" : Nat32 -> Int32) n;\nfunc int16ToNat16(n : Int16) : Nat16 = (prim "num_wrap_Int16_Nat16" : Int16 -> Nat16) n;\nfunc nat16ToInt16(n : Nat16) : Int16 = (prim "num_wrap_Nat16_Int16" : Nat16 -> Int16) n;\nfunc int8ToNat8(n : Int8) : Nat8 = (prim "num_wrap_Int8_Nat8" : Int8 -> Nat8) n;\nfunc nat8ToInt8(n : Nat8) : Int8 = (prim "num_wrap_Nat8_Int8" : Nat8 -> Int8) n;\n\n// Between adjacent widths\nfunc nat8ToNat16(n : Nat8) : Nat16 = (prim "num_conv_Nat8_Nat16" : Nat8 -> Nat16) n;\nfunc nat16ToNat32(n : Nat16) : Nat32 = (prim "num_conv_Nat16_Nat32" : Nat16 -> Nat32) n;\nfunc nat32ToNat64(n : Nat32) : Nat64 = (prim "num_conv_Nat32_Nat64" : Nat32 -> Nat64) n;\n\nfunc nat64ToNat32(n : Nat64) : Nat32 = (prim "num_conv_Nat64_Nat32" : Nat64 -> Nat32) n;\nfunc nat32ToNat16(n : Nat32) : Nat16 = (prim "num_conv_Nat32_Nat16" : Nat32 -> Nat16) n;\nfunc nat16ToNat8(n : Nat16) : Nat8 = (prim "num_conv_Nat16_Nat8" : Nat16 -> Nat8) n;\n\nfunc int8ToInt16(n : Int8) : Int16 = (prim "num_conv_Int8_Int16" : Int8 -> Int16) n;\nfunc int16ToInt32(n : Int16) : Int32 = (prim "num_conv_Int16_Int32" : Int16 -> Int32) n;\nfunc int32ToInt64(n : Int32) : Int64 = (prim "num_conv_Int32_Int64" : Int32 -> Int64) n;\n\nfunc int64ToInt32(n : Int64) : Int32 = (prim "num_conv_Int64_Int32" : Int64 -> Int32) n;\nfunc int32ToInt16(n : Int32) : Int16 = (prim "num_conv_Int32_Int16" : Int32 -> Int16) n;\nfunc int16ToInt8(n : Int16) : Int8 = (prim "num_conv_Int16_Int8" : Int16 -> Int8) n;\n\n// Exploding to bytes\nfunc explodeNat16(n : Nat16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Nat16" : Nat16 -> (Nat8, Nat8)) n;\nfunc explodeInt16(n : Int16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Int16" : Int16 -> (Nat8, Nat8)) n;\nfunc explodeNat32(n : Nat32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat32" : Nat32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt32(n : Int32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int32" : Int32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeNat64(n : Nat64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat64" : Nat64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt64(n : Int64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int64" : Int64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\n\n// Char conversion and properties\n\nfunc charToNat32(c : Char) : Nat32 = (prim "num_wrap_Char_Nat32" : Char -> Nat32) c;\nfunc nat32ToChar(w : Nat32) : Char = (prim "num_conv_Nat32_Char" : Nat32 -> Char) w;\n\nfunc charToText(c : Char) : Text = (prim "conv_Char_Text" : Char -> Text) c;\n\nfunc charToUpper(c : Char) : Char = (prim "char_to_upper" : Char -> Char) c;\nfunc charToLower(c : Char) : Char = (prim "char_to_lower" : Char -> Char) c;\nfunc charIsWhitespace(c : Char) : Bool = (prim "char_is_whitespace" : Char -> Bool) c;\nfunc charIsLowercase(c : Char) : Bool = (prim "char_is_lowercase" : Char -> Bool) c;\nfunc charIsUppercase(c : Char) : Bool = (prim "char_is_uppercase" : Char -> Bool) c;\nfunc charIsAlphabetic(c : Char) : Bool = (prim "char_is_alphabetic" : Char -> Bool) c;\n\n// Blob functions\n\nfunc blobCompare(b1 : Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\nfunc hashBlob(b : Blob) : Nat32 { (prim "crc32Hash" : Blob -> Nat32) b };\n\n// Text conversion\nfunc decodeUtf8(b : Blob) : ?Text = (prim "decodeUtf8" : Blob -> ?Text) b;\nfunc encodeUtf8(t : Text) : Blob = (prim "encodeUtf8" : Text -> Blob) t;\n\n// Text comparison\nfunc textCompare(t1 : Text, t2 : Text) : Int8 = (prim "text_compare" : (Text, Text) -> Int8)(t1, t2);\n\n// Text lowercase\nfunc textLowercase(t : Text) : Text = (prim "text_lowercase" : (Text) -> Text)(t);\n// Text uppercase\nfunc textUppercase(t : Text) : Text = (prim "text_uppercase" : (Text) -> Text)(t);\n\n// Exotic bitwise operations\nfunc popcntNat8(w : Nat8) : Nat8 = (prim "popcnt8" : Nat8 -> Nat8) w;\nfunc clzNat8(w : Nat8) : Nat8 = (prim "clz8" : Nat8 -> Nat8) w;\nfunc ctzNat8(w : Nat8) : Nat8 = (prim "ctz8" : Nat8 -> Nat8) w;\nfunc btstNat8(w : Nat8, amount : Nat8) : Bool = (prim "btst8" : (Nat8, Nat8) -> Nat8)(w, amount) != (0 : Nat8);\n\nfunc popcntNat16(w : Nat16) : Nat16 = (prim "popcnt16" : Nat16 -> Nat16) w;\nfunc clzNat16(w : Nat16) : Nat16 = (prim "clz16" : Nat16 -> Nat16) w;\nfunc ctzNat16(w : Nat16) : Nat16 = (prim "ctz16" : Nat16 -> Nat16) w;\nfunc btstNat16(w : Nat16, amount : Nat16) : Bool = (prim "btst16" : (Nat16, Nat16) -> Nat16)(w, amount) != (0 : Nat16);\n\nfunc popcntNat32(w : Nat32) : Nat32 = (prim "popcnt32" : Nat32 -> Nat32) w;\nfunc clzNat32(w : Nat32) : Nat32 = (prim "clz32" : Nat32 -> Nat32) w;\nfunc ctzNat32(w : Nat32) : Nat32 = (prim "ctz32" : Nat32 -> Nat32) w;\nfunc btstNat32(w : Nat32, amount : Nat32) : Bool = (prim "btst32" : (Nat32, Nat32) -> Nat32)(w, amount) != (0 : Nat32);\n\nfunc popcntNat64(w : Nat64) : Nat64 = (prim "popcnt64" : Nat64 -> Nat64) w;\nfunc clzNat64(w : Nat64) : Nat64 = (prim "clz64" : Nat64 -> Nat64) w;\nfunc ctzNat64(w : Nat64) : Nat64 = (prim "ctz64" : Nat64 -> Nat64) w;\nfunc btstNat64(w : Nat64, amount : Nat64) : Bool = (prim "btst64" : (Nat64, Nat64) -> Nat64)(w, amount) != (0 : Nat64);\n\nfunc popcntInt8(w : Int8) : Int8 = (prim "popcntInt8" : Int8 -> Int8) w;\nfunc clzInt8(w : Int8) : Int8 = (prim "clzInt8" : Int8 -> Int8) w;\nfunc ctzInt8(w : Int8) : Int8 = (prim "ctzInt8" : Int8 -> Int8) w;\nfunc btstInt8(w : Int8, amount : Int8) : Bool = (prim "btstInt8" : (Int8, Int8) -> Int8)(w, amount) != (0 : Int8);\n\nfunc popcntInt16(w : Int16) : Int16 = (prim "popcntInt16" : Int16 -> Int16) w;\nfunc clzInt16(w : Int16) : Int16 = (prim "clzInt16" : Int16 -> Int16) w;\nfunc ctzInt16(w : Int16) : Int16 = (prim "ctzInt16" : Int16 -> Int16) w;\nfunc btstInt16(w : Int16, amount : Int16) : Bool = (prim "btstInt16" : (Int16, Int16) -> Int16)(w, amount) != (0 : Int16);\n\nfunc popcntInt32(w : Int32) : Int32 = (prim "popcntInt32" : Int32 -> Int32) w;\nfunc clzInt32(w : Int32) : Int32 = (prim "clzInt32" : Int32 -> Int32) w;\nfunc ctzInt32(w : Int32) : Int32 = (prim "ctzInt32" : Int32 -> Int32) w;\nfunc btstInt32(w : Int32, amount : Int32) : Bool = (prim "btstInt32" : (Int32, Int32) -> Int32)(w, amount) != (0 : Int32);\n\nfunc popcntInt64(w : Int64) : Int64 = (prim "popcntInt64" : Int64 -> Int64) w;\nfunc clzInt64(w : Int64) : Int64 = (prim "clzInt64" : Int64 -> Int64) w;\nfunc ctzInt64(w : Int64) : Int64 = (prim "ctzInt64" : Int64 -> Int64) w;\nfunc btstInt64(w : Int64, amount : Int64) : Bool = (prim "btstInt64" : (Int64, Int64) -> Int64)(w, amount) != (0 : Int64);\n\n// Float32 conversions\n\nfunc floatToFloat32(f : Float) : Float32 = (prim "num_conv_Float_Float32" : Float -> Float32) f;\nfunc float32ToFloat(f : Float32) : Float = (prim "num_conv_Float32_Float" : Float32 -> Float) f;\n\n// Checked Float -> Float32 conversion: returns ?Float32 if round-trip stays within epsilon, null otherwise\nfunc safeFloatToFloat32(f : Float, epsilon : Float) : ?Float32 {\n let f32 = floatToFloat32 f;\n if (floatAbs(float32ToFloat f32 - f) <= epsilon) ?f32 else null\n};\n\n// Float operations\n\nfunc floatAbs(f : Float) : Float = (prim "fabs" : Float -> Float) f;\nfunc floatSqrt(f : Float) : Float = (prim "fsqrt" : Float -> Float) f;\nfunc floatCeil(f : Float) : Float = (prim "fceil" : Float -> Float) f;\nfunc floatFloor(f : Float) : Float = (prim "ffloor" : Float -> Float) f;\nfunc floatTrunc(f : Float) : Float = (prim "ftrunc" : Float -> Float) f;\nfunc floatNearest(f : Float) : Float = (prim "fnearest" : Float -> Float) f;\nfunc floatMin(f : Float, g : Float) : Float = (prim "fmin" : (Float, Float) -> Float)(f, g);\nfunc floatMax(f : Float, g : Float) : Float = (prim "fmax" : (Float, Float) -> Float)(f, g);\nfunc floatCopySign(f : Float, g : Float) : Float = (prim "fcopysign" : (Float, Float) -> Float)(f, g);\nfunc floatToInt(f : Float) : Int = (prim "num_conv_Float_Int" : Float -> Int)(f);\nfunc intToFloat(n : Int) : Float = (prim "num_conv_Int_Float" : Int -> Float)(n);\nfunc floatToInt64(f : Float) : Int64 = (prim "num_conv_Float_Int64" : Float -> Int64)(f);\nfunc int64ToFloat(n : Int64) : Float = (prim "num_conv_Int64_Float" : Int64 -> Float)(n);\n\nlet floatToText = @text_of_Float;\n\n// Configurable Float formatter\n// mode:\n// 0) fixed format "%.*f"\n// 1) exponent format "%.*e"\n// 2) generic format "%.*g"\n// 3) hexadecimal format "%.*h"\n// _) invalid (traps)\nfunc floatToFormattedText(f : Float, prec : Nat8, mode : Nat8) : Text = (prim "fmtFloat->Text" : (Float, Nat8, Nat8) -> Text)(f, prec, mode);\n\n// Trigonometric and transcendental functions\n\nfunc sin(f : Float) : Float = (prim "fsin" : Float -> Float) f;\nfunc cos(f : Float) : Float = (prim "fcos" : Float -> Float) f;\nfunc tan(f : Float) : Float = (prim "ftan" : Float -> Float) f;\nfunc arcsin(f : Float) : Float = (prim "fasin" : Float -> Float) f;\nfunc arccos(f : Float) : Float = (prim "facos" : Float -> Float) f;\nfunc arctan(f : Float) : Float = (prim "fatan" : Float -> Float) f;\nfunc arctan2(y : Float, x : Float) : Float = (prim "fatan2" : (Float, Float) -> Float)(y, x);\n\nfunc exp(f : Float) : Float = (prim "fexp" : Float -> Float) f;\nfunc log(f : Float) : Float = (prim "flog" : Float -> Float) f;\n\n// Array utilities\n\nfunc Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n};\n\nfunc Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n};\n\nfunc Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n};\n\nfunc blobToArray(b : Blob) : [Nat8] = (prim "blobToArray" : (Blob) -> [Nat8]) b;\nfunc blobToArrayMut(b : Blob) : [var Nat8] = (prim "blobToArrayMut" : (Blob) -> [var Nat8]) b;\nfunc arrayToBlob(a : [Nat8]) : Blob = (prim "arrayToBlob" : [Nat8] -> Blob) a;\nfunc arrayMutToBlob(a : [var Nat8]) : Blob = (prim "arrayMutToBlob" : [var Nat8] -> Blob) a;\n\n// Error codes\ntype ErrorCode = {\n #system_fatal;\n #system_transient;\n #destination_invalid;\n #canister_reject;\n #canister_error;\n #system_unknown;\n #future : Nat32;\n #call_error : { err_code : Nat32 };\n};\n\n// creation and inspection of abstract error\nfunc error(message : Text) : Error {\n let e = (#canister_reject, message);\n (prim "cast" : (ErrorCode, Text) -> Error) e;\n};\nfunc errorCode(e : Error) : ErrorCode = ((prim "cast" : Error -> (ErrorCode, Text)) e).0;\nfunc errorMessage(e : Error) : Text = ((prim "cast" : Error -> (ErrorCode, Text)) e).1;\n\n// Message deadline (best-effort messaging)\n\nfunc replyDeadline() : Nat64 = (prim "deadline" : () -> Nat64)();\n\n// Time\n\nfunc time() : Nat64 = (prim "time" : () -> Nat64)();\n\n// Principal\n\nfunc blobOfPrincipal(id : Principal) : Blob = (prim "blobOfPrincipal" : Principal -> Blob) id;\nfunc principalOfBlob(act : Blob) : Principal {\n // TODO: better: check size in prim "principalOfBlob" instead\n if (act.size() > 29) {\n trap("blob too long for principal");\n };\n (prim "principalOfBlob" : Blob -> Principal) act;\n};\n\nfunc principalOfActor(act : actor {}) : Principal = (prim "principalOfActor" : (actor {}) -> Principal) act;\nfunc actorOfPrincipal(p : Principal) : A = (prim "actorOfPrincipal" : Principal -> A) p;\nfunc isController(p : Principal) : Bool = (prim "is_controller" : Principal -> Bool) p;\nfunc isReplicatedExecution() : Bool = (prim "replicated_execution" : () -> Bool)();\nfunc canisterVersion() : Nat64 = (prim "canister_version" : () -> Nat64)();\nfunc canisterSubnet() : Principal = (prim "canister_subnet" : () -> Principal)();\nfunc rootKey() : Blob = (prim "root_key" : () -> Blob)();\nfunc getSelfPrincipal() : Principal = (prim "canister_self" : () -> Principal)();\n\n// Untyped dynamic actor creation from blobs\nlet createActor : (wasm : Blob, argument : Blob) -> async Principal = @create_actor_helper;\n\nfunc cyclesBalance() : Nat = (prim "cyclesBalance" : () -> Nat)();\nfunc cyclesAvailable() : Nat = (prim "cyclesAvailable" : () -> Nat)();\nfunc cyclesRefunded() : Nat = @refund;\nfunc cyclesAccept(amount : Nat) : Nat = (prim "cyclesAccept" : Nat -> Nat) amount;\n\nfunc cyclesAdd(amount : Nat) : () {\n if (amount == 0) return;\n @cycles += amount;\n // trap if @cycles would exceed 2^128\n if (@cycles > 0xFFFFFFFF_FFFFFFFF_FFFFFFFF_FFFFFFFF) {\n trap("cannot add more than 2^128 cycles");\n };\n};\n\nfunc cyclesBurn(amount : Nat) : Nat = (prim "cyclesBurn" : Nat -> Nat) amount;\n\nfunc costCall(methodNameSize : Nat64, payloadSize : Nat64) : Nat = (prim "costCall" : (Nat64, Nat64) -> Nat)(methodNameSize, payloadSize);\n\nfunc costCreateCanister() : Nat = (prim "costCreateCanister" : () -> Nat)();\n\nfunc costHttpRequest(requestSize : Nat64, maxResBytes : Nat64) : Nat = (prim "costHttpRequest" : (Nat64, Nat64) -> Nat)(requestSize, maxResBytes);\n\nfunc costSignWithEcdsa(keyName : Text, curveEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithEcdsa" : (Text, Nat32) -> (Nat32, Nat))(keyName, curveEncoding);\n\nfunc costSignWithSchnorr(keyName : Text, algorithmEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithSchnorr" : (Text, Nat32) -> (Nat32, Nat))(keyName, algorithmEncoding);\n\n// certified data\nfunc setCertifiedData(data : Blob) = (prim "setCertifiedData" : Blob -> ()) data;\nfunc getCertificate() : ?Blob = (prim "getCertificate" : () -> ?Blob)();\n\n// stable memory\n\n/// @deprecated M0199\nfunc stableMemorySize() : Nat64 = (prim "stableMemorySize" : () -> Nat64)();\n\n/// @deprecated M0199\nfunc stableMemoryGrow(pages : Nat64) : Nat64 = (prim "stableMemoryGrow" : Nat64 -> Nat64) pages;\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat32(offset : Nat64) : Nat32 = (prim "stableMemoryLoadNat32" : Nat64 -> Nat32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat32(offset : Nat64, val : Nat32) : () = (prim "stableMemoryStoreNat32" : (Nat64, Nat32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat8(offset : Nat64) : Nat8 = (prim "stableMemoryLoadNat8" : Nat64 -> Nat8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat8(offset : Nat64, val : Nat8) : () = (prim "stableMemoryStoreNat8" : (Nat64, Nat8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat16(offset : Nat64) : Nat16 = (prim "stableMemoryLoadNat16" : Nat64 -> Nat16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat16(offset : Nat64, val : Nat16) : () = (prim "stableMemoryStoreNat16" : (Nat64, Nat16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat64(offset : Nat64) : Nat64 = (prim "stableMemoryLoadNat64" : Nat64 -> Nat64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat64(offset : Nat64, val : Nat64) : () = (prim "stableMemoryStoreNat64" : (Nat64, Nat64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt32(offset : Nat64) : Int32 = (prim "stableMemoryLoadInt32" : Nat64 -> Int32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt32(offset : Nat64, val : Int32) : () = (prim "stableMemoryStoreInt32" : (Nat64, Int32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt8(offset : Nat64) : Int8 = (prim "stableMemoryLoadInt8" : Nat64 -> Int8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt8(offset : Nat64, val : Int8) : () = (prim "stableMemoryStoreInt8" : (Nat64, Int8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt16(offset : Nat64) : Int16 = (prim "stableMemoryLoadInt16" : Nat64 -> Int16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt16(offset : Nat64, val : Int16) : () = (prim "stableMemoryStoreInt16" : (Nat64, Int16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt64(offset : Nat64) : Int64 = (prim "stableMemoryLoadInt64" : Nat64 -> Int64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt64(offset : Nat64, val : Int64) : () = (prim "stableMemoryStoreInt64" : (Nat64, Int64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadFloat(offset : Nat64) : Float = (prim "stableMemoryLoadFloat" : Nat64 -> Float) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreFloat(offset : Nat64, val : Float) : () = (prim "stableMemoryStoreFloat" : (Nat64, Float) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadBlob(offset : Nat64, size : Nat) : Blob = (prim "stableMemoryLoadBlob" : (Nat64, Nat) -> Blob)(offset, size);\n\n/// @deprecated M0199\nfunc stableMemoryStoreBlob(offset : Nat64, val : Blob) : () = (prim "stableMemoryStoreBlob" : (Nat64, Blob) -> ())(offset, val);\n\n// Returns a query that computes the current actor\'s stable variable statistics (for now, the current size, in bytes, of serialized stable variable data).\nfunc stableVarQuery() : shared query () -> async { size : Nat64 } = (prim "stableVarQuery" : () -> (shared query () -> async { size : Nat64 }))();\n\n// stable regions\n\nfunc regionNew() : Region = (prim "regionNew" : () -> Region)();\n\nfunc regionId(r : Region) : Nat = (prim "regionId" : Region -> Nat) r;\n\nfunc regionSize(r : Region) : Nat64 = (prim "regionSize" : Region -> Nat64) r;\n\nfunc regionGrow(r : Region, pages : Nat64) : Nat64 = (prim "regionGrow" : (Region, Nat64) -> Nat64)(r, pages);\n\nfunc regionLoadNat32(r : Region, offset : Nat64) : Nat32 = (prim "regionLoadNat32" : (Region, Nat64) -> Nat32)(r, offset);\n\nfunc regionStoreNat32(r : Region, offset : Nat64, val : Nat32) : () = (prim "regionStoreNat32" : (Region, Nat64, Nat32) -> ())(r, offset, val);\n\nfunc regionLoadNat8(r : Region, offset : Nat64) : Nat8 = (prim "regionLoadNat8" : (Region, Nat64) -> Nat8)(r, offset);\n\nfunc regionStoreNat8(r : Region, offset : Nat64, val : Nat8) : () = (prim "regionStoreNat8" : (Region, Nat64, Nat8) -> ())(r, offset, val);\n\nfunc regionLoadNat16(r : Region, offset : Nat64) : Nat16 = (prim "regionLoadNat16" : (Region, Nat64) -> Nat16)(r, offset);\n\nfunc regionStoreNat16(r : Region, offset : Nat64, val : Nat16) : () = (prim "regionStoreNat16" : (Region, Nat64, Nat16) -> ())(r, offset, val);\n\nfunc regionLoadNat64(r : Region, offset : Nat64) : Nat64 = (prim "regionLoadNat64" : (Region, Nat64) -> Nat64)(r, offset);\n\nfunc regionStoreNat64(r : Region, offset : Nat64, val : Nat64) : () = (prim "regionStoreNat64" : (Region, Nat64, Nat64) -> ())(r, offset, val);\n\nfunc regionLoadInt32(r : Region, offset : Nat64) : Int32 = (prim "regionLoadInt32" : (Region, Nat64) -> Int32)(r, offset);\n\nfunc regionStoreInt32(r : Region, offset : Nat64, val : Int32) : () = (prim "regionStoreInt32" : (Region, Nat64, Int32) -> ())(r, offset, val);\n\nfunc regionLoadInt8(r : Region, offset : Nat64) : Int8 = (prim "regionLoadInt8" : (Region, Nat64) -> Int8)(r, offset);\n\nfunc regionStoreInt8(r : Region, offset : Nat64, val : Int8) : () = (prim "regionStoreInt8" : (Region, Nat64, Int8) -> ())(r, offset, val);\n\nfunc regionLoadInt16(r : Region, offset : Nat64) : Int16 = (prim "regionLoadInt16" : (Region, Nat64) -> Int16)(r, offset);\n\nfunc regionStoreInt16(r : Region, offset : Nat64, val : Int16) : () = (prim "regionStoreInt16" : (Region, Nat64, Int16) -> ())(r, offset, val);\n\nfunc regionLoadInt64(r : Region, offset : Nat64) : Int64 = (prim "regionLoadInt64" : (Region, Nat64) -> Int64)(r, offset);\n\nfunc regionStoreInt64(r : Region, offset : Nat64, val : Int64) : () = (prim "regionStoreInt64" : (Region, Nat64, Int64) -> ())(r, offset, val);\n\nfunc regionLoadFloat(r : Region, offset : Nat64) : Float = (prim "regionLoadFloat" : (Region, Nat64) -> Float)(r, offset);\n\nfunc regionStoreFloat(r : Region, offset : Nat64, val : Float) : () = (prim "regionStoreFloat" : (Region, Nat64, Float) -> ())(r, offset, val);\n\nfunc regionLoadBlob(r : Region, offset : Nat64, size : Nat) : Blob = (prim "regionLoadBlob" : (Region, Nat64, Nat) -> Blob)(r, offset, size);\n\nfunc regionStoreBlob(r : Region, offset : Nat64, val : Blob) : () = (prim "regionStoreBlob" : (Region, Nat64, Blob) -> ())(r, offset, val);\n\nlet call_raw = @call_raw;\n\nfunc performanceCounter(counter : Nat32) : Nat64 = (prim "performanceCounter" : (Nat32) -> Nat64) counter;\n\n// Candid configuration\nfunc setCandidLimits({\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidLimits" : (Nat32, Nat32, Nat32) -> ())(numerator, denominator, bias);\n};\n\nfunc getCandidLimits() : {\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n} {\n let (numerator, denominator, bias) = (prim "getCandidLimits" : () -> (Nat32, Nat32, Nat32))();\n {\n numerator;\n denominator;\n bias;\n };\n};\n\nfunc setCandidTypeLimits({\n scalar : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidTypeLimits" : (Nat32, Nat32) -> ())(scalar, bias);\n};\n\nfunc getCandidTypeLimits() : {\n scalar : Nat32;\n bias : Nat32;\n} {\n let (scalar, bias) = (prim "getCandidTypeLimits" : () -> (Nat32, Nat32))();\n {\n scalar;\n bias;\n };\n};\n',Tc="region_init",Nc=-872313182,Fc="\nright operand is",Gc="this uninitialized declaration requires a type annotation",Uc="convertee",Mc="EAFNOSUPPORT",Pc=7948,Kc="regionStoreNat32",Oc="__wasm_apply_data_relocs",Rc=126,Qc="TODO: ",Cc="int64_of_big_int",Lc="IDL error: incompatible actor type",Hc=" : flags Open_text and Open_binary are not compatible",Vc=" <: ",Sc="include",zc=": Not a directory",Jc="canister_composite_query ",Wc="human",Zc="contains_field",Xc="idl_sub_buf_words",Yc="error",ro=165,no="sleb128_decode",to="name",eo="btst8",uo="ir_passes/await.ml",ao="StableMemory range out of bounds",fo="ir_passes/async.ml",io=" but got ",co="BlobLit",oo="expected object type, but expression produces type%a",vo="num_wrap",Ao="Win32",so="ERANGE",bo="__upgrade_instructions",lo=252,Bo="bigint_add",jo="@reject_callback",ko="-",po=": file descriptor already closed",mo=".mo",_o="var_scrut",ho="as_ptr_size",xo="bigint_leb128_stream_encode",yo="@@global_typtbl_end",wo="InPostUpgrade",go="ctz8",qo="cannot get environment variable names when running locally",Io="text_lowercase",Do=" of type ",Eo="@ret",$o="M0089",To="bigint_of_word64",No="mo_values/show.ml",Fo="remote call",Go="Candid limit denominator cannot be zero",Uo="type field also present in base, here",Mo='"',Po="system",Ko="powf",Oo="non-actor class cannot take a context pattern",Ro=242899572,Qo=105,Co="canister_on_low_wasm_memory",Lo="Arr.ofBlobMut",Ho="obj_idx_ind<",Vo="ic0_stable64_read",So="__stablemem_%swrite_%s",zo="fd_write",Jo="__motoko_stable_var_info",Wo=12582912,Zo="to_var_type: Unreachable",Xo="blob_iter_next",Yo="parse_idl_header",rv="rts_in_upgrade",nv="NullLit",tv="ETIMEDOUT",ev="ObjT",uv="cannot import canister urls without --actor-idl param",av="variant pattern cannot consume expected type",fv="compile_const_dec: Unexpected VarD/RefD",iv="atan",cv="M0145",ov="bigint_of_float64",vv="fnearest",Av="WSubOp",sv="@;<0 -2>",bv=449,lv="canister_global_timer",Bv=148,jv=1000000009,kv="operator may trap for inferred type",pv="no type can be inferred for actor reference",dv="__stablememory_store_word16",mv="value_len",_v="(%s%s)",hv="__typtbl_size",xv="text_singleton",yv="cannot get cycles refunded when running locally",wv="stableMemoryStoreNat16",gv="WhileE",qv="region_load_blob",Iv="\nbecause ",Dv="field names ",Ev="int",$v="Int64",Tv="misplaced stability declaration on field of non-actor",Nv=176,Fv="result",Gv="$",Uv="<2>",Mv="` of type",Pv=" is not contained in expected type",Kv="Map.bal",Ov="v",Rv=143365725,Qv="str_self",Cv="shared function must have syntactic return type '()' or 'async '",Lv="closedir",Hv="nat16",Vv="@reset_cycles",Sv="secondary",zv="popcntInt64",Jv=226,Wv="Error",Zv=221,Xv="inline_labels",Yv="assertion failed at %s",rA="",nA="@@global_typtbl",tA="__stablemem_load_blob",eA="nat",uA="cannot reject when running locally",aA="cannot get method_name when running locally",fA="timeout",iA="WeakT",cA="type_desc: unexpected type %s\n",oA=374,vA="cannot infer return type",AA=107,sA="raw call",bA="mo_types/expansive.ml",lA="rel_buf",BA="rts_memory_size",jA="param",kA="Undefined_recursive_module",pA=2147483647,dA=65280,mA="\\t",_A="array",hA="rts_trap",xA="data_size",yA="blob_of_principal",wA="__wasm_call_ctors",gA="help",qA="accessing identifier before its definition",IA="E2BIG",DA="error_value",EA="Blob.compare_le",$A=113,TA="find_field",NA="expected `",FA="replicated_execution",GA=" = a: 0x",UA="@[%s%s@]",MA="bigint_of_word32",PA=256,KA="assert_nonneg",OA="call_perform_status",RA="PrimE",QA="root_key",CA="idl_sub_buf_init",LA="call_raw",HA="idl_limit_check",VA="blob",SA="region_store_word32",zA="tuple pattern cannot consume expected type",JA="field ",WA="rts_mutator_instructions",ZA=" in record",XA="",YA="stableMemoryStoreNat64",rs="array_len",ns="schedule_",ts="stream_reserve",es="EWOULDBLOCK",us=123,as=834,fs="M0226",is="closure_data",cs="data_certificate_size",os="async expression",vs=4202101,As="bigint_lsh",ss="Array.tabulateVar",bs="motoko:compiler",ls="__typtbl",Bs="certified_data_set",js="regionNew",ks=">",ps="acos",ds="object type",ms="}",_s="Name",hs="clz64",xs='" not found',ys="memory",ws="Sys_blocked_io",gs="module",qs="mo_frontend/parser.mly",Is=1/0,Ds="get_static_roots",Es="Stable",$s=245,Ts="mkdir",Ns=" declared",Fs="codegen/compile_enhanced.ml",Gs="IDL error: out of bounds read",Us="PostPreUpgrade",Ms="s",Ps="losing precision",Ks="IDL error: variant index out of bounds",Os=" has incorrect number of arguments",Rs="MixinD",Qs="cycle_accept",Cs="Assert_failure",Ls="new",Hs=" Display this list of options",Vs="Int64Lit",Ss=824580451,zs="atan2",Js=134,Ws="nat64",Zs="bigint_leb128_decode",Xs="explode_Int16",Ys="NeqOp",rb="margin_length",nb="unclosed comment",tb="rts_collector_instructions",eb="__stablememory_load_word16",ub="ForE",ab="moc_stable_mem_grow",fb="different set of bindings in pattern alternatives",ib="FuncT",cb="CPSAwait bad cont",ob="MulOp",vb="cannot send references on IC System API",Ab="as_func",sb=" = ",bb="stableMemorySize",lb="Char",Bb="meth_pair2",jb="lib/core/source.ml.T.t",kb="cost_call",pb="unvisited mutable data in serialize_go (Array)",db="bigint_sleb128_stream_encode",mb="file size is larger than an OCaml 63-bit integer",_b="get_max_live_size",hb="field name ",xb="not a module, skipping",yb="",wb="stableMemoryStoreNat8",gb=141,qb="ftrunc",Ib=120,Db=236,Eb=1027,$b="(",Tb="File",Nb="ref_buffer",Fb="canister_self",Gb="env_var_value_size",Ub="__stablememory_load_float64",Mb="LetD",Pb="stop_gc_before_stabilization",Kb="call_cycles_add128",Ob="AsyncT",Rb="arg%i",Qb="env",Cb=415,Lb="Fatal error: exception ",Hb="Unknown stack_rep conversion %s -> %s\n",Vb="GOT.mem",Sb=181,zb=118,Jb="__type_offsets_length",Wb="blob_len",Zb="camlinternalFormat.ml",Xb="bigint_gt",Yb="str_caller",rl="PostQuery",nl=737453762,tl="Unreachable",el="ic0_performance_counter",ul="ObjP",al="mixins may only be imported by binding to a name",fl="Int8Lit",il=913,cl="relop",ol="ECONNABORTED",vl=151,Al="write_",sl="unexpected %s, expected one of token or sequence:\n %s",bl="logicalStableMemorySize",ll="cannot get environment variable when running locally",Bl="buffer_size overflow",jl="Stack_overflow",kl="of",pl="DoOptE",dl="%s\n%!",ml="if_can_tag_i64",_l="@;<0 1>",hl="to_%i_tuple",xl=" is PublicMethod",yl="Flexible",wl="assertion failure",gl="shared function has non-shared return type",ql="arg_typ",Il="compact",Dl="No global named %s declared",El=189,$l=65535,Tl="EACCES",Nl="VariantT",Fl="redundant ignore, operand already has type ()",Gl="copying",Ul="EINTR",Ml=1836278016,Pl="costCreateCanister",Kl=145,Ol="duplicate binding for %s in pattern",Rl="ValPF",Ql="exec/ixx.ml",Cl="duplicate binding for type ",Ll="M0189",Hl=921,Vl="algorithm",Sl="message result is not sharable:\n %s",zl="fexp",Jl=402,Wl="explode_Nat32",Zl=405,Xl=162,Yl="bigint_2complement_bits",rB="__call_perform_message",nB="...",tB="system_unknown",eB="ENOEXEC",uB="stableMemoryStoreBlob",aB="ptr",fB="__motoko_gc_trigger",iB=341,cB="multi-memory",oB="`, `",vB="Note",AB="bulk-memory",sB="int16",bB=115,lB="serialize",BB="msg_cycles_available128",jB=104,kB="M0059",pB="set_val: %s is PublicMethod",dB="await",mB="shared function has non-async result type",_B="message result is not sharable:\n ",hB="bug",xB="stable64_size",yB="@@data_buf",wB="register_stable_type",gB="n",qB="shared function with async result type has non-async body",IB="vals",DB="type",EB="__stablemem_store_blob",$B="alloc_weak_ref",TB="stableMemoryStoreInt32",NB=467,FB="%Lx",GB="region_store_word8",UB="_clos",MB="B_rem",PB="AddOp",KB="String",OB="End_of_file",RB="boxed_i64",QB="lib/pack/menhirLib.ml",CB="caller",LB="blocks",HB="AllocHow.disjoint_union: ",VB="<- await",SB="@[<1>(%a)@]",zB="write_location",JB=366,WB="AndOp",ZB="ActorUrlE",XB="mo_values/prim.ml",YB="get_heap_base",rj="@@",nj="text",tj="GtOp",ej="null",uj="msg_method_name_copy",aj="TypPF",fj="bigint function error",ij="boxed_f64",cj="EqOp",oj="IDL error: coercion failure encountered",vj="@[%*s %a %a@]",Aj="M0041",sj="memcmp",bj="",lj=1023,Bj="ENOTCONN",jj="return",kj="encodeUtf8",pj=65536,dj=926227490,mj="lines",_j="catch",hj="InComposite",xj="get_graph_destabilized_actor",yj="continue ",wj=8421504,gj="refs_size",qj=328,Ij=659980059,Dj=307,Ej='internal error: const "',$j="sources",Tj="infinity",Nj="arg",Fj="__stabilization_completed",Gj="getCandidTypeLimits",Uj="clz16",Mj="object_size/Mut: Unexpected tag.",Pj="PathT",Kj="stable64_grow",Oj="candid:args",Rj="ExpField",Qj="the new type of stable variable `",Cj=128,Lj="Sys_error",Hj="\nLast environment:\n",Vj="this function has the name of a system method, but is declared without system visibility and will not be called by the system",Sj="object pattern cannot consume expected type",zj=1073741823,Jj=4194304,Wj="compiler bug: expected a module or actor class but found a program, i.e. a sequence of declarations",Zj="` is missing from ",Xj="Arr.ofBlob",Yj="mo_idl/idl_to_mo.ml",rk=424,nk=-605101559,tk="mo_interpreter/interpret.ml",ek="enhanced-orthogonal-persistence",uk="TupT",ak="OrOp",fk="regionLoadNat16",ik="Vanilla",ck="cycle_refunded",ok="canister_self_size",vk=32768,Ak="StableMemory range overflow",sk="@{",bk="get_n_ptr",lk="unbound variable %s",Bk="trap",jk="M0141",kk="ESHUTDOWN",pk="float32",dk="json",mk=" : file already exists",_k="EPROTOTYPE",hk="len2",xk="compile_eq",yk="Prim",wk="tup",gk="Array.init",qk=155,Ik="ir_passes/eq.ml",Dk="Local actors not supported by backend",Ek="\n ",$k="@motoko_async_stabilization",Tk="Array.idx_bigint",Nk="%s%!",Fk="__motoko_destabilize_after_upgrade",Gk="set_dedup_table",Uk="field name %s does not exist in type\n %s",Mk="Mixins are not yet supported in the interpreter",Pk="src/fmt.ml",Kk=229,Ok="true",Rk="clzInt8",Qk=200,Ck="IDL error: unexpected actor reference",Lk="EADDRNOTAVAIL",Hk="str",Vk="source",Sk="misplaced ",zk="pattern failed",Jk=334,Wk="fmin",Zk="call_perform",Xk=489,Yk="M0037",rp="ShiftROp",np="__stablememory_store_word64",tp="bigint_to_word32_wrap",ep="src/automaton_state_intf.ml",up=1073741824,ap="nat_sub",fp="blob_vals_iter",ip="ctzInt32",cp="Nat->Nat64",op="Invalid stack rep join (",vp="IDL error: did not find field ",Ap="__stablemem_grow",sp="buf",bp="IDL error: left-over bytes ",lp=191,Bp="fcos",jp="throw",kp="stableMemoryLoadInt16",pp="actor class cannot take a context pattern",dp="mismatching sources",mp="last",_p="get_migrations",hp="env_var_name_copy",xp="compile_prim_invocation",yp=16776960,wp="regionLoadNat64",gp="file ",qp="stable64_read",Ip="this code is (or uses) the deprecated library `ExperimentalStableMemory`.\nPlease use the `Region` library instead: https://internetcomputer.org/docs/current/motoko/main/stable-memory/stable-regions/#the-region-library or compile with flag `--experimental-stable-memory 1` to suppress this message.",Dp="y",Ep=" and ",$p="env_var_name_exists",Tp=121,Np="Shared Query",Fp="codegen/compile_classical.ml",Gp="multi_val_%d",Up="Nat8Lit",Mp="__stablememory_load_blob",Pp="note",Kp="No global named ",Op="TupE",Rp="bad import: expected a module or actor class but found an actor",Qp="Invalid_argument",Cp="Nat16",Lp=" -> ",Hp="as_async",Vp="UnboxedTuple %d",Sp=16777215,zp="future",Jp="getCandidLimits",Wp="M0254",Zp="StableMemory offset out of bounds",Xp="Blob.idx",Yp="shared function has unexpected type parameters",rd="duplicate binding for ",nd='compile_const_exp/VarE: "%s" not found',td=512,ed="TagP",ud="fmax",ad="call_with_best_effort_response",fd=1026,id=157,cd="tuple projection ",od="next",vd="private",Ad="EPERM",sd="cycle_add",bd="rmdir",ld="region_new",Bd="operator is not defined for operand type%a",jd="the type ",kd="different set of type bindings in pattern alternatives",pd=198,dd="set_migrations",md="mo_def/compUnit.ml",_d=248,hd="array index out of bounds",xd="M0031",yd="break",wd="print",gd="BinOp",qd="@@value_quota",Id="Float32Lit",Dd="stable variable `%s` of type `%s` not found in persisted state (migration should have initialized it)",Ed="init",$d=" does not exist in type\n ",Td=" in pattern",Nd=16777153,Fd="clz8",Gd="data_certificate_copy",Ud=108,Md="tuple pattern has ",Pd="PrimT",Kd=" of type:",Od="promising function cannot be local:\n %s",Rd=".",Qd="ECHILD",Cd=1006505782,Ld="heartbeat_exp",Hd="this uninitialized `let` can only use a simple identifier pattern `let : `",Vd="install_arg",Sd="Func",zd="popcnt32",Jd="B_lsh",Wd="clzInt64",Zd="opt_scrut",Xd=737456202,Yd="mo_types/productive.ml",rm="stream_write_byte",nm="compile_relop",tm=194,em="fceil",um=138,am=",",fm="index out of bounds",im="M0191",cm="ClassD",om="rts.wasm",vm=179,Am="env_var_count",sm=117,bm="request_size",lm="loop",Bm="moc_stable_mem_set_version",jm="misplaced return",km="set_upgrade_instructions",pm="unreachable",dm="async*",mm="stag",_m="a float",hm="VarP",xm="__stablemem_version",ym="inconsistent migration chain",wm=250,gm="sub",qm="text_uppercase",Im="error_message",Dm="from_word128_ptr",Em="lowmemory",$m="unsafe_get",Tm="running_gc",Nm="tag_scrut",Fm="InQuery",Gm="cannot perform %s when running locally",Um="fcopysign",Mm="rotl",Pm="NegOp",Km="int_of_string",Om="M0062",Rm="IncludeD",Qm="post_write_barrier",Cm=255,Lm="principal_of_blob",Hm="",Vm="pipeline/pipeline.ml",Sm="product",zm=362,Jm="bigint_sleb128_decode",Wm="UnboxedTuple ",Zm=218,Xm="msg_method_name_size",Ym="allocation_barrier",r_="ignore",n_="char_to_upper",t_="shared function has non-async result type%a",e_=216,u_="win32",a_=963043957,f_=185,i_="codegen/compile_common.ml",c_="regionLoadNat32",o_="Unix.Unix_error",v_="setCandidTypeLimits",A_="btstInt8",s_="Int16",b_=4298439,l_="motoko:stable-types",B_="M0154",j_="v_dom",k_="unop",p_="EOVERFLOW",d_=205556449,m_=" in imports",__="--enhanced-migration: no valid migration modules found (migration modules must export a public `migration` function)",h_=", characters ",x_="__stablememory_load_word32",y_="__motoko_async_helper",w_="query",g_="too few type arguments",q_=359,I_="segments",D_="fmodf",E_="pages_needed",$_="zero flag expected",T_="Nat8",N_="%s",F_=109,G_="EMLINK",U_="M0242",M_=1247,P_="region_store_word64",K_="warning",O_=475,R_=265,Q_="@timeout",C_="stableMemoryLoadNat16",L_="popcnt8",H_="mixins may only be declared at the top-level",V_="lib/ansi_renderer/snippet.ml",S_="written_value",z_="@",J_=346,W_="UnboxedWord64",Z_="idl_alloc_typtbl",X_="lib.mo",Y_="@[<2>async@ %a@]",rh="EDESTADDRREQ",nh="get_reclaimed",th="blob_compare",eh="ENOMEM",uh="skip_leb128",ah="unbound variable %s%a",fh=431,ih="call_perform_message",ch="blob_of_ptr_size",oh="EBUSY",vh="inspect",Ah="serializing value of type None",sh="@[<2>%s :@ %a@]",bh="Int32Lit",lh="shared function cannot take a context pattern",Bh="this declaration has no initializer. Omitting an initializer is only allowed in an actor and with flag --enhanced-migration.",jh="skip_any",kh="alloc_size<",ph=336,dh="'",mh="<",_h="",hh="start_graph_destabilization",xh="bigint_leb128_decode_word64",yh="of_string",wh="wpow_int",gh="rts_lifetime_instructions",qh="Int16Lit",Ih="btstInt16",Dh=258,Eh="mo_frontend/parsing.ml",$h=182,Th=836501035,Nh="moc_stable_mem_get_size",Fh="CPSAsync unexpected typ",Gh="VarD",Uh=231,Mh=" : flags Open_rdonly and Open_wronly are not compatible",Ph="ENETUNREACH",Kh="incremental_gc",Oh=32768,Rh="EINPROGRESS",Qh="__stablememory_size",Ch="system_fatal",Lh="float_fmt",Hh="class",Vh=386,Sh="ic0_stable64_grow",zh='": captures "',Jh="regionSize",Wh="boundary",Zh="Returns",Xh="__motoko_runtime_information",Yh="unbound variable ",rx="actor class has non-async return type",nx=239,tx="cannot get certificate when running locally",ex="ModOp",ux="motoko",ax=1350,fx="M0086",ix="EXDEV",cx="_",ox="checking",vx="ETOOMANYREFS",Ax="",sx="bigint_rem",bx="@[<1>?%a@]",lx="(Flexible)",Bx="migration",jx="\\\\",kx="accept_message",px="@@global_typtbl_size",dx="variant",mx="/static/",_x="msg_deadline",hx="multi_val_",xx="",yx="as_obj",wx=698610924,gx="__motoko_stabilize_before_upgrade",qx=" does not match pattern",Ix="deadline",Dx="expression of type",Ex="continue",$x="bigint_to_word64_wrap",Tx=409,Nx="garbageCollector",Fx=8043,Gx=" missing",Ux=122,Mx="regionStoreNat16",Px="EPIPE",Kx="cannot decide subtyping between type",Ox="bigint_to_word32_trap_with",Rx="in",Qx="M0195",Cx="B+div",Lx="cannot set certified data when running locally",Hx="pages",Vx=7949,Sx="idltyp2",zx="text_of_ptr_size",Jx=852405675,Wx="regionStoreNat8",Zx=16777212,Xx="AwaitE",Yx="TODO: compile_unop",ry="stableMemoryStoreInt16",ny="canister_init",ty="fabs",ey="actor",uy="popcnt16",ay="malformed operator",fy=345,iy="%s\n",cy="wasm_features",oy="OptT",vy=389604418,Ay=" (in TAG 0x",sy="@.",by=210,ly="debug",By="Pos",jy="callbackTableSize",ky="=",py="",dy="free_stable_actor",my=1022,_y="M0096",hy=323,xy="shared function has non-shared parameter type",yy=1021133848,wy="@add_cycles",gy="old_pages",qy="XorOp",Iy="max_res_bytes",Dy="region_load_word32",Ey="rts_start",$y="\nand",Ty=24029,Ny="│",Fy="ENOTEMPTY",Gy="compilerVersion",Uy=1255,My="env_var_name_size",Py="compile_const_exp/DotE: not a static object",Ky="alloc_array",Oy=188,Ry="case",Qy="data buffer not filled",Cy=-840203068,Ly="call_as_prim was true?",Hy=": calling convention ",Vy=183,Sy=7947,zy="suspend",Jy="print_text",Wy="unrecognised attribute ",Zy="hash",Xy="ENOTSOCK",Yy="--help",rw="clz32",nw="func",tw="BreakE",ew="regionId",uw="first_word",aw="custom section size mismatch",fw=57344,iw="region_store_blob",cw="bigint_leb128_size",ow="PowOp",vw="Mixin",Aw=16777152,sw="msg_caller_size",bw="type parameter %s has cyclic bounds %s",lw=193,Bw="ECONNREFUSED",jw="arg_count",kw="get_heap_size",pw="meth_pair1",dw="option pattern cannot consume expected type",mw=178,_w="mo_frontend/parser.ml",hw=297,xw="TypD",yw="msg_reply",ww="internal error: left-over ThrowPrim",gw="ThrowE",qw=149,Iw="mo_types/type.ml",Dw=" components but expected type has ",Ew="word16",$w=756711075,Tw="Int",Nw="AnnotE",Fw="IDL error: unexpected principal reference",Gw="Principal",Uw="TextLit",Mw="new_object",Pw="actor reference must have an actor type",Kw="ToCandidE",Ow="B_pow",Rw="rts_max_stack_size",Qw=737308346,Cw="sleb128_encode",Lw="Bottom",Hw="an actor or actor class must be the only non-imported declaration in a program",Vw="@@ref_buf",Sw="ir_def/check_ir.ml",zw="IDL error: exceeded value limit",Jw="__destabilized_actor",Ww="compile_const_exp/ProjE: not a static tuple",Zw="IntLit",Xw="is_controller",Yw=180,rg=" in ",ng="ValF",tg="M0218",eg=368,ug="Var",ag="wrap_pow_Int64",fg="type parameter ",ig="EMSGSIZE",cg=737455525,og="lang_utils/expGraph.ml",vg=684370880,Ag="bigint_of_int64",sg="to_opt_%i_tuple",bg=696517344,lg="char_is_whitespace",Bg="int64",jg="lower",kg="alt_scrut",pg="composite send capability required, but not available\n (cannot call a `composite query` function from a non-`composite query` function)",dg="region_grow",mg="text_len",_g="lexp with non-mutable type",hg=440380662,xg="EADDRINUSE",yg="^",wg="cannot decide type constructor equality",gg="cannot get ",qg="M0251",Ig=342,Dg="ENOTDIR",Eg="bigint_lt",$g="malformed UTF-8 encoding",Tg="from_candid requires but is missing a known type (from context)",Ng="M0240",Fg="\\u{%02x}",Gg=376,Ug="call_on_cleanup",Mg=-397582078,Pg=395,Kg="send capability required, but not available\n (cannot call a `shared` function from a `query` function)",Og="Pervasives.do_at_exit",Rg="blob index out of bounds",Qg="Blob.compare",Cg="expected mutable assignment target",Lg="this declares an implicit oneway function.\n if this is intentional, annotate explicitly with `: ()`, otherwise annotate with `: async ()`",Hg="msg_reject_msg_size",Vg="Array.idx",Sg="lsh_Nat",zg="alloc_size<%d>_tag<%d>",Jg=301,Wg="TryE",Zg="cb_index",Xg="regionStoreInt64",Yg=154,rq="package",nq="text_concat",tq="arrayMutToBlob",eq="msg_cycles_refunded128",uq="is_graph_stabilization_started",aq="M0121",fq="Composite",iq="word32",cq="GeOp",oq="M",vq=290,Aq="M0177",sq=".\n",bq="A.B.C",lq="AsyncE",Bq="misplaced parenthetical (this call does not send a message)",jq="memo",kq="compile",pq="rts_total_allocation",dq="PreInit",mq="N",_q=377,hq="setCandidLimits",xq="blob too long for actor principal",yq="\n",wq="time",gq="assert",qq="ENOENT",Iq="compile_comparison",Dq="frame_ptr <> stack_ptr",Eq="Division_by_zero",$q="principalOfBlob",Tq="EOPNOTSUPP",Nq="weak",Fq="x",Gq=119,Uq=287,Mq="mo_frontend/typing.ml",Pq="costHttpRequest",Kq="CallE",Oq=101,Rq="%.*g",Qq="rts_callback_table_size",Cq=255,Lq=288,Hq=848054398,Vq=261,Sq=100,zq=1114111,Jq="Out of stable memory.",Wq="WAddOp",Zq="stableMemoryLoadFloat",Xq="canister_pre_upgrade",Yq="M0206",rI="actor classes with non non-async return types are deprecated; please declare the return type as 'async ...'",nI="",tI="unknown mixin ",eI="__stablememory_store_blob",uI="deprecated syntax: an imported library should be a module or named actor class",aI="msg_reject_msg_copy",fI="obj_idx<",iI=4100401,cI="unknown primitive type",oI="InUpdate",vI="v_rng",AI="pow",sI="bigint_rsh",bI="@@typtbl_end",lI="rts_version",BI="ctz32",jI="wasi_snapshot_preview1",kI="rts",pI="/// ",dI="region_vec_pages",mI="@get_actor_to_persist",_I=1078,hI="mul",xI="linking/linkModule.ml",yI="lib/ansi_renderer/snippet_renderer.ml",wI=266,gI="unexpected call_conv ",qI="\\n",II="system_transient",DI="B_mod",EI="M0119",$I="bottom",TI="IdxE",NI="mutbox_value",FI="compute_crc32",GI=7982,UI="skip_fields",MI=354,PI="Bool",KI=919,OI="AltP",RI="0x",QI="LoopE",CI="bad annotation (object type expected)",LI="\n does not match ",HI="System",VI="stop",SI="as_mut",zI="print_ptr",JI="to_candid",WI=": closedir failed",ZI="canister_query ",XI=933,YI="IDL error: too few arguments ",rD=384,nD=223,tD="EHOSTUNREACH",eD="regionLoadBlob",uD=" must not depend on itself",aD="IDL error: did not find tuple field in record",fD="__call_perform_status",iD="get_typtbl_ptr",cD="data_buffer",oD="Array index out of bounds",vD="Expect one table in first module",AD="regionStoreBlob",sD="bigint_isneg",bD=388,lD=7951,BD=16384,jD="rts_logical_stable_memory_size",kD="cannot get cycles available when running locally",pD="__stablememory_store_float64",dD="cannot have more than one mode",mD="EAGAIN",_D="regionGrow",hD="word64",xD=416,yD="fmtFloat->Text",wD="NotE",gD="var ",qD=390,ID="operator is not defined for operand type",DD=" ",ED="principalOfActor",$D="cos",TD="tagidx",ND="file %s must not depend on itself",FD="cost_sign_with_ecdsa",GD=500,UD=220,MD="set_static_variable",PD="bigint_to_float64",KD="IfE",OD="type_desc: unexpected type ",RD="message",QD="EMFILE",CD=7976,LD="DivOp",HD=-216810653,VD="bigint_to_word32_trap",SD="old_pos",zD="call ",JD="ExpD",WD=8041,ZD="bigint_sub",XD="` is provided but not expected in object of type",YD="AwaitE*",rE="idlHash",nE=7945,tE="canister_self_copy",eE="",uE="T1",aE="region_store_word16",fE="Async*",iE="compile_lit_pat",cE=363,oE="@@value_bias",vE="",AE="int_from_i64",sE="type field",bE="-help",lE="IDL error: circular record read",BE="shared function has non-shared return type%a",jE="mo_types/typ_hash.ml",kE="costCall",pE="FromCandidE",dE="actor classes are not supported",mE="Blob.compare_eq",_E="EHOSTDOWN",hE="M0101",xE="ActorU",yE="composite",wE="Float->Text",gE=483,qE="set_val: ",IE="M0131",DE="canister_pre_upgrade attempted with outstanding message callbacks (try stopping the canister before upgrade)",EE="get_typtbl_size_ptr",$E="a shared function cannot be private",TE=-16777216,NE="ctzInt64",FE="Blob.compare_ge",GE="post_exp",UE=" in object pattern",ME="binop",PE="stableVarQuery",KE="EROFS",OE="Blob.compare_neq",RE="Region",QE="values",CE="..",LE="GOT.func",HE="Const",VE="cycle_balance",SE="rts_callback_table_count",zE="bigint_sleb128_encode",JE=" mentioned in error at ",WE=8046,ZE="set_val: %s is const",XE="regionStoreInt8",YE="cannot get %s when running locally",r$="PosOp",n$=" or\n ",t$="serialize_go",e$="NatLit",u$=381,a$="leb128_decode",f$="crc32Hash",i$="f",c$="get_upgrade_instructions",o$=999,v$="AsyncT*",A$="unbox64",s$="Nat16Lit",b$="Float",l$=195,B$="buffer.ml",j$="FuncE",k$="to_candid argument must have shared type, but instead has non-shared type%a",p$="idllib/arrange_idl.ml",d$="msg_caller_copy",m$="root_key_copy",_$="",h$="stableMemoryStoreInt8",x$="stableMemoryLoadNat32",y$=408,w$="maxLiveSize",g$="Weak",q$="deserialize_go (Region): unexpected idl_typ",I$='compile_const_exp/ObjE: "',D$="async",E$="B_eq",$$="bigint_abs",T$=240,N$="msg_reject_code",F$="stack_overflow",G$="stableMemoryLoadInt32",U$="primary",M$="regionStoreNat64",P$=870828711,K$=";",O$=8044,R$="mixins can only be included in an actor context",Q$="region_id",C$="field %s does not exist in %a",L$="record",H$="cannot infer type of implicit argument",V$="CPSAwait answer type error",S$="length",z$=" :",J$="with",W$='compile_const_exp/ObjE: "%s" not found',Z$="regionLoadInt16",X$="B_neg",Y$=375,rT="persistent",nT="Nat64",tT=7981,eT="__typtbl_end",uT=296,aT="actor-alias",fT="Blob.idx_bigint",iT="M0236",cT=132,oT="",vT="expected object type, but expression produces type\n ",AT="B_add",sT="costSignWithEcdsa",bT="finally",lT="Help",BT="decodeUtf8",jT="M0241",kT="ParP",pT="maxStackSize",dT="moc_stable_mem_get_version",mT="B_div",_T="__stablememory_load_word8",hT="M0199",xT="as_variant",yT=-32,wT="inner actor classes are not supported yet; any actor class must come last in your program",gT="canister_version",qT="M0244",IT="timer",DT="ImplicitLibE",ET="err_msg",$T="exp",TT="Variant",NT="M0074",FT="temp",GT="recall_continuation",UT="__stablememory_store_word32",MT="%lx",PT=284,KT="get_dedup_table",OT=": ",RT="B_gt",QT="sanityChecks",CT=139,LT="stableMemoryGrow",HT="M0166",VT="regionStoreFloat",ST="obj_scrut",zT="rsh_Nat",JT=" in block",WT="ArrayT",ZT="start_gc_after_destabilization",XT="bigint_mul",YT="AnnotP",rN="<:",nN="rotr",tN='internal error: const "%s": captures "%s", not found in static environment\n',eN="B_mul",uN=66447547,aN="AllocHow.join: cannot join StoreStatic and StoreHeap",fN="Odd: Type hash scratch space not empty",iN="actor_public_field",cN="Null",oN=-1073741824,vN="SubOp",AN=63,sN="",bN=114,lN="nativeint_of_big_int",BN="regionStoreInt16",jN="@[<1>(%a%s)@]",kN="@[{@;<0 0>%a@;<0 -2>}@]",pN="redundant `stable` keyword, this declaration is implicitly stable",dN="ArrayE",mN="[var ",_N="non-",hN="float64",xN="variable",yN=327,wN="PreLit",gN="Module",qN=111,IN="Invalid UTF-8",DN="cannot infer type of forward field reference %s",EN="internals",$N=")",TN="int32",NN="?",FN="buffer_size: unexpected variant",GN="graph_destabilization_increment",UN="public actor field needs to be a manifest function",MN="src/pre_sexp.ml",PN="msg",KN="EALREADY",ON="region",RN="TypF",QN=499,CN="ENOSPC",LN="ImportE",HN=495,VN="msg_reject",SN="bool",zN=82908052,JN="class cannot be a query",WN="explode_Int64",ZN="data_segment_blob",XN="val",YN="heartbeat",rF="unexpected `system` capability (try deleting it)",nF=127,tF="leb128_encode",eF="RetE",uF="version",aF=1072,fF="expected array type, but expression produces type\n ",iF="",cF="state",oF="locus",vF="ENETRESET",AF="try",sF="_bigarr02",bF="preupgrade",lF="bigint_count_bits",BF="data_certificate_present",jF="key_name",kF=357,pF="BoolLit",dF="M0007",mF="to_candid argument must have shared type, but instead has non-shared type",_F="assertion failed at ",hF="newPages",xF=870530776,yF="WildP",wF="@[",gF="initialize_incremental_gc",qF="stable",IF="btstInt64",DF="call_new",EF="clzInt16",$F="idlHash only implemented in interpreter",TF="B_sub",NF="used more than once",FF=749039939,GF=131,UF="M0190",MF="cannot accept cycles when running locally",PF="__lifetime_instructions",KF="IDL error: left-over references ",OF="M0168",RF="Nat32->Char",QF="uncovered relop",CF="menhir-recovery-lib/menhirRecoveryLib.ml",LF=253,HF="ctz16",VF="But got no arguments",SF="neg_trap",zF="cannot read balance when running locally",JF="@@value_denominator",WF="promising function cannot be local:\n ",ZF=" is const",XF="ENOTTY",YF="blob_iter_done",rG="src",nG="refs_start",tG="notes",eG="nat8",uG="InPreUpgrade",aG=391,fG=124,iG="DIDL\0\0",cG="uncaught throw",oG="compile_binop",vG="file$",AG="Set.bal",sG="stream_write_text",bG="weak_ref_is_live",lG=1031864215,BG=1024,jG=246,kG="canister_inspect_message",pG="BlockE",dG="alloc_stream",mG="@anon-",_G="Int8",hG="Blob size out of bounds",xG="idltyp1",yG="misplaced system visibility, did you mean private?",wG="stable variable `",gG="migration expression consumes field `",qG="unknown mixin %s",IG="buffer_in_32_bit_range",DG="stream",EG="M0135",$G="costSignWithSchnorr",TG="memorySize",NG=" <: ",FG="ctzInt16",GG="M0033",UG="expected object type, but expression produces type",MG="DebugE",PG="ir_passes/show.ml",KG="stream_shutdown",OG=781116926,RG="LitP",QG="LtOp",CG="\ncannot produce expected type",LG="this looks like an unintended function call, perhaps a missing ';'?",HG="#",VG="cost_sign_with_schnorr",SG="blobToArrayMut",zG="DecField",JG="IgnoreE",WG=461,ZG="public ",XG=-822677911,YG=" of type",rU="table",nU="a",tU="blobToArray",eU=7979,uU="regionLoadNat8",aU="misplaced parenthetical (`async*` calls cannot be modified)",fU="IDL error: principal too long",iU="peek_future_continuation",cU="stableMemoryLoadInt8",oU="Nat->",vU=-10,AU="FloatLit",sU="Text",bU=776,lU="len_self",BU="IDL error: byte tag not 0 or 1",jU="__",kU=", expected one of token or sequence:\n ",pU="M0061",dU="type ",mU="IDL error: unexpected IDL type when parsing ",_U="res64",hU="B_ge",xU="cannot reply when running locally",yU="operator may trap for inferred type%a",wU="M0064",gU="file",qU=243,IU="\0\0\0\0\0\0\0\0\0\0\0\0\0\0€\0\0ÿ\0\0\0\0\0\0\0\0\0\0\0\0",DU="Fatal error: exception %s\n",EU="cannot get actor-subnet-reference when running locally",$U="T2",TU="compacting",NU=15713,FU="cannot compile library",GU="jsError",UU="rts_upgrade_instructions",MU="region_size",PU=994,KU="IDL error: did not find field %s in record",OU="ENODEV",RU=" does not exist in ",QU=143,CU="can_recover",LU="`%s`",HU=781515420,VU="to_var_type: UnboxedTuple",SU="M0081",zU="pointer",JU="BangE",WU="shared function with () result type has unexpected body:\n the body must either be of sugared form '{ ... }' \n or explicit form '= ignore ((async ...) : async ())'",ZU="unvisited mutable data in serialize_go (MutBox)",XU="0",YU="moc_stable_memory_access_limit",rM="from_",nM="cannot infer type of forward field reference ",tM="field",eM="set_local %i",uM=146,aM="cannot compute union of types containing recursive or forward references to other type definitions",fM=423,iM="camlinternalMod.ml",cM="@callback",oM="syntax",vM="Export ",AM="expected object type, but expression produces type\n %s",sM="system function timer is present but -no-timer flag is specified",bM="Text.compare_ge",lM="region0_get",BM="Idle",jM="cannot get root-key when running locally",kM="M0032",pM="cannot get deadline when running locally",dM="Query",mM="cannot get caller when running locally",_M="@cleanup_callback",hM="idx",xM="Memory",yM="@[<2>async%s@ %a@]",wM="` of type `",gM="region_page_count",qM="Public",IM="canister_error",DM="msg_cycles_accept128",EM="Passive data segments are not yet supported in the RTS module",$M="clzInt32",TM="NewObjE",NM="M0039",FM="__stablemem_ensure",GM="NamedT",UM="",MM="await*",PM="Any",KM="__collector_instructions",OM="null rel_buf",RM=186,QM="nat32",CM="@buffer_size<",LM=-588596599,HM="<1>",VM="IDL error: incompatible function type",SM=428,zM="bigint_of_int32",JM="illegal control character in text literal",WM="fatan",ZM="reclaimed",XM="explode_Int32",YM="",rP="to_var_type: Const",nP="h_ptr",tP="__stack_pointer",eP="ENOSYS",uP="chars",aP="Promises",fP="fsin",iP="M0239",cP="actor classes with type parameters are not supported yet",oP=196,vP="blob import placeholder",AP="TagE",sP=1063,bP="alloc_words",lP="IDL error: unexpecting primitive alias type",BP="as_array",jP="continuation_table_size",kP="word8",pP="utf8_valid",dP="mismatching source",mP="IDL error: deserializing value of type None",_P="stop_gc_on_upgrade",hP="%s: %s",xP="(Program not linked with -g, cannot print stack backtrace)\n",yP=55296,wP="non-toplevel actor; an actor can only be declared at the toplevel of a program",gP="ESRCH",qP="variable %s is declared stable but has non-stable type%a",IP="text_iter_next",DP='file "',EP=110,$P=128,TP=405210929,NP="compile_exp",FP="@@rel_buf_opt",GP="",UP="M0038",MP="@callback<",PP="id",KP=989373200,OP="move these declarations into the body of the main actor or actor class",RP="__stablemem_ensure_pages",QP="set_val: %s missing",CP="bigint_to_word64_trap_with",LP=306,HP="destination_invalid",VP="OptE",SP=7977,zP="Principal too long",JP="value ",WP="size",ZP="expected array type, but expression produces type\n %s",XP=102,YP="int8",rK=418,nK="codepoint out of range",tK="Blob",eK="regionLoadFloat",uK="expression of type%a\ncannot produce expected type%a",aK="Natural subtraction underflow",fK="idl_sub",iK="public",cK="sys_big_int_of_string",oK="method_name_size",vK="regionLoadInt8",AK="canister_cycle_balance128",sK="with --enhanced-migration, this stable declaration cannot have an initializer.\n Remove the expression and initialize the declaration using a `migration` function.",bK="rts_heap_size",lK="Shared Composite",BK="M0000",jK="Compact",kK="misplaced '!' (no enclosing 'do ? { ... }' expression)",pK="decrement",dK="char_is_alphabetic",mK="Expected no arguments",_K="blob_size",hK="M0217",xK="schedule_incremental_gc",yK="mo_idl/mo_to_idl.ml",wK="_HP",gK=4294967296,qK="pre_exp",IK="Float32",DK="\nbecause operand types are inconsistent,\nleft operand is",EK="incremental",$K='""',TK="LitE",NK="temp_ptr",FK="ctzInt8",GK="typ_field",UK="RotROp",MK="sin",PK="stableMemoryLoadInt64",KK=116,OK="EISDIR",RK="Odd offset",QK="too many type arguments",CK=159,LK=8045,HK=350,VK="M0198",SK=435,zK="by",JK=365180284,WK="M0223",ZK="multi_line_labels",XK=401,YK="performanceCounter",rO="debug_print",nO="Blob.compare_lt",tO="text_iter_done",eO="to_opt_",uO=160,aO="EFBIG",fO="ECONNRESET",iO="assign_stable_type",cO="Text.compare_le",oO=-808010220,vO="RotLOp",AO="deserialize",sO="bigint_to_word64_trap",bO="blob_iter",lO="blob_copy_",BO="Unknown stack_rep conversion ",jO="alloc_region",kO="idllib/typing.ml",pO="cannot infer the type of this or-pattern, please add a type annotation",dO="ENETDOWN",mO="candid:service",_O="char_is_lowercase",hO=1114112,xO="btst64",yO="char_to_lower",wO='", not found in static environment\n',gO=1000000010,qO=395720131,IO=471,DO="count",EO=511,$O="popcntInt16",TO="could not perform %s",NO="let",FO="SignP",GO="try handler",UO="LeOp",MO=316,PO="from_candid",KO="Nat32",OO="box_f64",RO="global_timer_set",QO="cannot combine `(with migration = ...)` with --enhanced-migration; use one or the other.",CO="M0155",LO="b",HO="parenthetical notes aren't allowed on shared functions",VO="AndE",SO=112,zO="\\r",JO=140,WO="severity",ZO="nan",XO="mo_frontend/stability.ml",YO="Blob.compare_gt",rR="ShowE",nR="StackRep.of_type",tR="ENOLCK",eR="ref_size",uR="new_size",aR="Private",fR="VarE",iR="integer representation too long",cR="pre_upgrade",oR="utf8_validate",vR="popcnt64",AR="inspect_exp",sR="internal error: unexpected state entering ",bR="actor import",lR="value",BR="reference buffer not filled",jR="Array.tabulate",kR="stable variable",pR=7980,dR="is_ref",mR="stableMemoryStoreNat32",_R="Rich",hR=323557469,xR="Warning",yR="popcntInt32",wR=" : is a directory",gR="keys",qR=438511779,IR="bigint_pow",DR="\ninstead of expected type",ER="; ",$R="misplaced actor migration expression on module or object",TR="Arr.toBlob",NR="Could not find ",FR=130,GR="from_%i_tuple",UR="buffer_size",MR="actors are not supported",PR="with flag --default-persistent-actors, the `persistent` keyword is redundant and can be removed",KR="@@typtbl",OR=441,RR="unicode escape out of range",QR="send capability required, but not available\n (cannot call a `shared` function from a `composite query` function; only calls to `query` and `composite query` functions are allowed)",CR=106,LR="DIDL",HR="M0221",VR="M0238",SR="int_from_i32",zR="%d",JR="EBADF",WR="Nat32Lit",ZR="M0235",XR="weak ",YR=251,rQ="blobOfPrincipal",nQ="@@type_scaler",tQ="num_conv",eQ="len_caller",uQ="2ld9c4h5-ma5344j4-d037pmjg-xhb7z7aa",aQ="switch",fQ="M0207",iQ="Int32",cQ="",oQ=" 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<>auto",wz="feed: outgoing transition does not exist",gz=ki,qz=yq,Iz='/*\nThe prelude. This stuff is always initially in scope.\nThis should only be type definitions for primitive types.\n*/\n\ntype Any = prim "Any";\ntype None = prim "None";\ntype Null = prim "Null";\ntype Bool = prim "Bool";\ntype Nat = prim "Nat";\ntype Nat8 = prim "Nat8";\ntype Nat16 = prim "Nat16";\ntype Nat32 = prim "Nat32";\ntype Nat64 = prim "Nat64";\ntype Int = prim "Int";\ntype Int8 = prim "Int8";\ntype Int16 = prim "Int16";\ntype Int32 = prim "Int32";\ntype Int64 = prim "Int64";\ntype Float = prim "Float";\ntype Float32 = prim "Float32";\ntype Char = prim "Char";\ntype Text = prim "Text";\ntype Blob = prim "Blob";\ntype Error = prim "Error";\ntype Principal = prim "Principal";\ntype Region = prim 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result is negative, which may be unintentional.\n\nOffending code examples:\n\n```motoko\nfunc f(n : Nat) {\n if (n < 10) { return };\n let m = 2 * (n - 1);\n};\n\nfunc g(n : Nat) {\n if (n - 1 < 10) { return };\n};\n```\n\nIf the subtraction was indeed intended to have a `Nat` result, you can let the compiler know by annotating the intended type explicitly:\n\n```motoko\nfunc f(n : Nat) {\n let m : Nat = 2 * (n - 1);\n};\n```\n\nIf the intended type was `Int`, however, you can either annotate it as such:\n\n```\nfunc f(n : Nat) {\n let m : Int = 2 * (n - 1);\n};\n```\n\nOr you can insert a sign operator `+`, which also forces the expression to be of type `Int`:\n\n```\nfunc f(n : Nat) {\n let m = 2 * (+n - 1);\n};\n```\n\nThis latter possibility is particularly convenient in the case of comparisons, because it is always okay to perform them at type `Int`:\n\n```\nfunc g(n : Nat) {\n if (+n - 1 < 10) { return };\n};\n```\n"],"Inferred type Nat for subtraction"],[0,HT,0,"Type intersection results in abstract type"],[0,ru,0,"Type union results in bottom type"],[0,UF,0,"Types inconsistent for alternative pattern variables, losing information"],[0,im,0,"Code requires Wasm features ... to execute"],[0,Xe,[0,'# M0194\n\nThis warning means that you defined an identifier without\nreferencing it later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nlet nickname = "klutz";\n// code that never uses `nickname`\n```\n\nIf you encounter this warning, you can either delete the definition (if the code has no other side-effect),\n\n```motoko\n// code that never uses `nickname`\n```\n\nreplace it by a wildcard pattern:\n\n```motoko\nlet _ = "klutz";\n// code that never uses `nickname`\n```\n\nor just prefix the identifier with an underscore:\n\n```motoko\nlet _nickname = "klutz";\n// code that never uses `nickname`\n```\n'],"Unused identifier warning"],[0,Qx,[0,"# M0195\n\nThis warning means that you called a function that demands elevated (`system`) capabilities,\nwithout manifestly passing the capability.\n\n"],"warn that `system` capability is implicitly supplied"],[0,VK,[0,'# M0198\n\nThis warning means that you specified a field identifier in an object pattern without referencing this identifier later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName } = person;\nDebug.print(firstName);\n\n// secondName is not used\n```\n\nIf you encounter this warning and the identifier is indeed not needed, \nyou can either remove the field identifier from the object pattern,\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName } = person;\nDebug.print(firstName);\n```\n\nbind the field to a wildcard pattern:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _ } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n\nor bind the field to an identifier with an underscore prefix:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _secondName } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n'],"Unused field pattern warning"],[0,hT,[0,"# M0199\n\nThis error or warning means that your code is either directly or indirectly using the now deprecated library `ExperimentalStableMemory.mo` (or its supporting compiler primitives).\n\nThe library works as advertised but is a potential hazard as the resource it provides access to is shared between all clients of the library.\nThis means that a library may unintentionally or maliciously read or modify data maintained by your application, or by another library imported by your application.\n\nIf possible, please upgrade your code to use library `Region.mo` instead.\nThis improved library offers a similar abstraction, but instead of a single memory that is implicitly accessible to all callers, it provides multiple memories.\nThese memories, called regions, are isolated from each other and inaccessible unless a region is explicitly shared between libraries.\n\nThe `moc` compiler flag `--experimental-stable-memory ` flag controls the production of this error or warning message, allowing your code to compile as before:\n* n < 0: error on use of stable memory primitives.\n* n = 0: warn on use of stable memory primitives (the default).\n* n > 1: warning-less use of stable memory primitives (for legacy applications).\n\nI.e. if your application cannot easily be upgraded to use `Regions.mo` and still requires access to `ExperimentalStableMemory.mo`, you can opt-in to legacy support for `ExperimentalStableMemory.mo` using the `moc` compiler flag `--experimental-stable-memory 1`.\n"],"Deprecate experimental stable memory"],[0,Yq,0,"Migration consumes, but does not produce, a declared field"],[0,fQ,0,"Migration consumes, but does not produce, an un-declared field"],[0,Qt,0,"Parenthetical note must be applied to a message send"],[0,zn,0,"Parenthetical note has no attributes"],[0,Ta,[0,"# M0212\n\nThis warning means that you are affixing a parenthetical note to a message send (i.e. either\na canister method call of a self-send with `async`, or `actor`) that contains an attribute not recognised\nby this version of the Motoko compiler.\n\nCurrently, only these attributes are recognized in parenthetical notes:\n\nFor _message_ sends and `async` expressions\n- `cycles : Nat`\n- `timeout : Nat32`\n\nFor `actor` and `actor class` declarations:\n- `migration : {} -> {}`\n"],"Unrecognised attribute in parenthetical note"],[0,Ti,0,"Field is lost in record used at supertype"],[0,hK,0,"Redundant `persistent`"],[0,tg,0,"Redundant `stable`"],[0,jt,0,"Ignored `async*`"],[0,WK,0,"Redundant type instantiation"],[0,ZR,0,"Deprecate for caffeine"],[0,iT,0,"Suggest contextual dot notation"],[0,Jf,0,"Suggest redundant explicit arguments"],[0,iP,0,"Avoid binding a unit `()` result"],[0,Ng,0,"Unused identifier in shared pattern warning"],[0,jT,0,"Unused field in shared pattern warning"],[0,U_,0,"Implicit oneway declaration"],[0,Lr,0,"Unreachable else in let-else"],[0,qT,0,"Mutable variable is never reassigned"],[0,Wp,0,"Initial actor requires field"]]),Ner=[0,[11,"moc: invalid warning code: ",[2,0,[11,". Run 'moc --warn-help' to see available warning codes.",0]]],"moc: invalid warning code: %s. Run 'moc --warn-help' to see available warning codes."],Fer=[0,1],Ger=[0,og,mw,2],Uer=[0,og,Yg,4],Mer=[0,og,uO,2],Per=[0,og,98,2],Ker=[0,[2,0,[10,0]],Nk],Oer=[0,[2,0,[10,0]],Nk],Rer=[0,[2,0,[12,10,[10,0]]],dl],Qer=tG,Cer=Nf,Ler=RD,Her=[0,If,"MachineApplicable"],Ver=tc,Ser=[0,0],zer=gU,Jer=K_,Wer=Yc,Zer=du,Xer=[0,[11,"help: remove `",[2,0,[12,96,0]]],"help: remove `%s`"],Yer=[0,[11,"help: insert `",[2,0,[12,96,0]]],"help: insert `%s`"],rur=[0,[11,"help: replace `",[2,0,[11,"` with `",[2,0,[12,96,0]]]]],"help: replace `%s` with `%s`"],nur=[0,[2,0,0],N_],tur=[0,[11,Sr,[2,0,0]],"note: %s"],eur=[0,[2,0,0],N_],uur=[0,[15,[17,4,0]],"%a@."],aur=rA,fur=rA,iur=rA,cur=[0,[11," [",[2,0,[12,93,0]]]," [%s]"],our=K_,vur=[0,[2,0,[11," error",0]],"%s error"],Aur=du,sur=yq,bur=rA,lur=yq,Bur=rA,jur=[0,[2,0,[11,OT,[2,0,[2,0,[11,Ac,[2,0,[2,0,[2,0,[12,10,0]]]]]]]]],"%s: %s%s, %s%s%s\n"],kur=rA,pur=cx,dur=cx,mur=cx,_ur=cx,hur=[0,[11,"Candid method name '",[2,0,[11,"' is not a valid Motoko identifier",0]]],"Candid method name '%s' is not a valid Motoko identifier"],xur=Bc,yur=[0,[12,95,[2,0,[12,95,0]]],"_%s_"],wur=cx,gur=[0,"BlobT"],qur=[0,"PrincipalT"],Iur=[0,"PreT"],Dur=Pd,Eur=ib,$ur=oy,Tur=Nl,Nur=xw,Fur=ia,Gur=[0,"NoActor"],Uur=K$,Mur=VA,Pur=Pr,Kur=[0,p$,nF,14],Our=nw,Rur=L$,Qur=dx,Cur=ms,Lur=[0,p$,Rc,18],Hur=K$,Vur=ms,Sur=[0,14],zur=Xr,Jur=Xr,Wur=Xr,Zur=am,Xur=$b,Yur=$N,rar=Xr,nar=pI,tar=pI,ear=K$,uar=K$,aar=K$,far=Zu,iar=Xr,car=ms,oar=Zu,Aar=Xr,sar=ms,bar=Zu,lar=Xr,Bar=Lp,jar=[0,p$,275,11],kar=DB,par=ky,dar=Mo,mar=Mo,_ar=Mo,har=eA,xar=eG,yar=Hv,war=QM,gar=Ws,qar=Ev,Iar=YP,Dar=sB,Ear=TN,$ar=Bg,Tar=pk,Nar=hN,Far=SN,Gar=nj,Uar=ej,Mar=uu,Par=Yi,Kar=[0,kO,um,12],Oar=[0,[11,dD,0],dD],Rar=[0,[11,fa,0],fa],Qar=[0,[11,Jn,0],Jn],Car=[0,[11,hb,[2,0,[11," hash collision with field ",[2,0,0]]]],"field name %s hash collision with field %s"],Lar=[0,[2,0,[11," is a non-function type\n ",[2,0,0]]],"%s is a non-function type\n %s"],Har=[0,[11,rd,[2,0,[11," in service",0]]],"duplicate binding for %s in service"],Var=[0,[11,rd,[2,0,[11," in type definitions",0]]],"duplicate binding for %s in type definitions"],Sar=[0,kO,Zm,14],zar=[0,[2,0,[11," is a non-service type\n ",[2,0,0]]],"%s is a non-service type\n %s"],Jar=[0,[2,0,[11," has a cyclic type definition",0]],"%s has a cyclic type definition"],War=[0,[11,"unbound type identifier ",[2,0,0]],"unbound type identifier %s"],Zar=[0,0],Xar=[0,0],Yar=[0,0],rfr=DB,nfr=rA,tfr=[0,[11,"Internal failure -- please contact the parser generator's developers.\n",[10,0]],"Internal failure -- please contact the parser generator's developers.\n%!"],efr=[0,"idllib/parser.ml",2461,4],ufr=[0,14],afr=IN,ffr=[0,14],ifr=[0,14],cfr=IN,ofr=IN,vfr=IN,Afr=IN,sfr=IN,bfr=IN,lfr=IN,Bfr=rA,jfr=[0,"idllib/parser.mly",12,2],kfr=FH([[0,eA,0],[0,eG,1],[0,Hv,2],[0,QM,3],[0,Ws,4],[0,Ev,5],[0,YP,6],[0,sB,7],[0,TN,8],[0,Bg,9],[0,pk,10],[0,hN,11],[0,SN,12],[0,nj,13],[0,ej,14],[0,uu,15],[0,Yi,16]]),pfr=$a,dfr=JM,mfr=_i,_fr=ay,hfr=$g,xfr=nb,yfr=$g,wfr=[0,10,0],gfr=[0,13,0],qfr=[0,9,0],Ifr=rA,Dfr=RR,Efr=[0,92,0],$fr=[0,39,0],Tfr=[0,34,0],Nfr=[0,[11,gp,[2,0,[11,uD,0]]],ND],Ffr=Bc,Gfr=[0,[11,"conflict type definition for ",[2,0,0]],"conflict type definition for %s"],Ufr=Bc,Mfr=[0,[11,'cannot open "',[2,0,[12,34,0]]],'cannot open "%s"'],Pfr=gU,Kfr=oM,Ofr=oM,Rfr=rA,Qfr=[0,0,[0,mn]],Cfr=[0,[2,0,[2,0,[4,3,0,0,0]]],"%s%s%i"],Lfr=[0,Iw,Sa,16],Hfr=[0,1],Vfr=[0,0],Sfr=[0,1],zfr=[0,2],Jfr=[0,PA],Wfr=[0,pj],Zfr=[0,2],Xfr=[0,Iw,yu,19],Yfr=Ec,rir=[0,Iw,1429,4],nir=[0,Iw,1466,18],tir=[0,Iw,1498,11],eir=[0,Iw,1513,15],uir=[0,Iw,1524,11],air=[0,Iw,1538,15],fir=[0,Iw,1616,2],iir=[0,Iw,1653,23],cir=[1,0,2],oir=[0,Iw,1693,31],vir=[0,[18,[1,[0,[11,Wr,0],Wr]],[15,[17,0,[17,3,0]]]],"@[%a@]@\n"],Air=[0,Iw,2635,4],sir=[0,0],bir=[0,Iw,2071,13],lir=[0,[18,[1,[0,[11,GP,0],GP]],[2,0,[12,us,[17,[0,Gn,0,0],[15,[17,[0,sv,0,-2],[12,ba,[17,0,0]]]]]]]],"@[%s{@;<0 0>%a@;<0 -2>}@]"],Bir=[0,[18,[1,[0,[11,GP,0],GP]],[12,us,[17,[0,Gn,0,0],[15,[17,[0,sv,0,-2],[12,ba,[17,0,0]]]]]]],kN],jir=[0,[18,[1,[0,[11,GP,0],GP]],[12,us,[17,[0,Gn,0,0],[15,[17,[0,sv,0,-2],[12,ba,[17,0,0]]]]]]],kN],kir=[0,[18,[1,[0,[11,HM,0],HM]],[2,0,[11,Sn,[15,[17,0,0]]]]],"@[<1>%s : %a@]"],pir=PM,dir=or,mir=[0,[11,"??? ",[2,0,[12,32,[4,3,0,0,0]]]],"??? %s %i"],_ir=[0,[18,[1,[0,0,rA]],[2,0,[12,60,[18,[1,[0,[11,HM,0],HM]],[15,[17,0,[12,62,[17,0,0]]]]]]]],"@[%s<@[<1>%a@]>@]"],hir=[0,[18,[1,[0,[11,HM,0],HM]],[11,mN,[15,[12,93,[17,0,0]]]]],"@[<1>[var %a]@]"],xir=[0,[18,[1,[0,[11,HM,0],HM]],[12,91,[15,[12,93,[17,0,0]]]]],"@[<1>[%a]@]"],yir=am,wir=rA,gir=[0,[18,[1,[0,[11,HM,0],HM]],[12,40,[15,[2,0,[12,41,[17,0,0]]]]]],jN],qir=[0,[18,[1,[0,[11,HM,0],HM]],[12,40,[2,0,[11,Sn,[15,[12,41,[17,0,0]]]]]]],"@[<1>(%s : %a)@]"],Iir=[0,[18,[1,[0,[11,HM,0],HM]],[12,40,[15,[12,41,[17,0,0]]]]],SB],Dir=[0,[18,[1,[0,[11,HM,0],HM]],[12,63,[15,[17,0,0]]]],bx],Eir=[0,[18,[1,[0,[11,HM,0],HM]],[11,XR,[15,[17,0,0]]]],za],$ir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,D$,[2,0,[17,[0,ue,1,0],[15,[17,0,0]]]]]],yM],Tir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,D$,[2,0,[12,60,[15,[12,62,[17,[0,ue,1,0],[15,[17,0,0]]]]]]]]],"@[<2>async%s<%a>@ %a@]"],Nir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,D$,[2,0,[17,[0,ue,1,0],[15,[17,0,0]]]]]],yM],Fir=[0,[18,[1,[0,[11,HM,0],HM]],[12,40,[15,[12,41,[17,0,0]]]]],SB],Gir=Po,Uir=[0,[18,[1,[0,[11,Uv,0],Uv]],[2,0,[15,[15,[11," ->",[17,[0,ue,1,0],[15,[17,0,0]]]]]]]],"@[<2>%s%a%a ->@ %a@]"],Mir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,D$,[2,0,[17,[0,ue,1,0],[15,[17,0,0]]]]]],yM],Pir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,D$,[17,[0,ue,1,0],[15,[17,0,0]]]]],Y_],Kir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,"replies",[17,[0,ue,1,0],[15,[17,0,0]]]]],"@[<2>replies@ %a@]"],Oir=[0,[18,[1,[0,[11,HM,0],HM]],[11,Vu,[17,[0,ue,1,0],[15,[17,0,0]]]]],"@[<1>var@ %a@]"],Rir=[0,[18,[1,[0,[11,HM,0],HM]],[11,dU,[2,0,[15,[12,32,[2,0,[17,[0,ue,1,0],[15,[17,0,0]]]]]]]]],"@[<1>type %s%a %s@ %a@]"],Qir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,gD,[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]]],"@[<2>var %s :@ %a@]"],Cir=[0,[18,[1,[0,[11,Uv,0],Uv]],[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]],sh],Lir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,dU,[2,0,[15,[12,32,[2,0,[17,[0,ue,1,0],[15,[17,0,0]]]]]]]]],"@[<2>type %s%a %s@ %a@]"],Hir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,"stable var ",[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]]],"@[<2>stable var %s :@ %a@]"],Vir=[0,[18,[1,[0,[11,Uv,0],Uv]],[11,"stable ",[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]]],"@[<2>stable %s :@ %a@]"],Sir=Rx,zir=qF,Jir=[0,[18,[1,[0,[11,Uv,0],Uv]],[2,0,[11," var ",[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]]]],"@[<2>%s var %s :@ %a@]"],Wir=[0,[18,[1,[0,[11,Uv,0],Uv]],[2,0,[12,32,[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]]]],"@[<2>%s %s :@ %a@]"],Zir=[0,[12,35,[2,0,0]],Bu],Xir=[0,[18,[1,[0,[11,Uv,0],Uv]],[12,35,[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]]],"@[<2>#%s :@ %a@]"],Yir=[0,[2,0,[11,Vc,[15,0]]],"%s <: %a"],rcr=[0,[18,[1,[0,[11,HM,0],HM]],[12,60,[15,[12,62,[17,0,0]]]]],"@[<1><%a>@]"],ncr=ky,tcr=rN,ecr=[0,[18,[1,[0,[11,Uv,0],Uv]],[2,0,[11,z$,[17,[0,ue,1,0],[15,[17,0,0]]]]]],sh],ucr=[0,[18,[1,[0,[11,YM,0],YM]],[2,0,[12,us,[17,[0,Gn,0,0],[15,[17,[0,sv,0,-2],[12,ba,[17,0,0]]]]]]]],"@[%s{@;<0 0>%a@;<0 -2>}@]"],acr=[0,[18,[1,[0,[11,YM,0],YM]],[2,0,[11,"({",[17,[0,Gn,0,0],[15,[17,[0,sv,0,-2],[11,"}, {",[17,[0,Gn,0,0],[15,[17,WS,[11,"})",[17,0,0]]]]]]]]]]]],"@[%s({@;<0 0>%a@;<0 -2>}, {@;<0 0>%a@;<0 -2>})@]"],fcr=[0,[18,[1,[0,[11,YM,0],YM]],[12,us,[17,[0,Gn,0,0],[15,[17,[0,sv,0,-2],[12,ba,[17,[0,"@;<0-2>",0,-2],[2,0,[11," {",[17,XS,ZS]]]]]]]]]],"@[{@;<0 0>%a@;<0 -2>}@;<0-2>%s {@;<0 0>%a@;<0 -2>}@]"],icr=[0,[18,[1,[0,[11,Wr,0],Wr]],[15,[15,[15,[12,59,[17,0,0]]]]]],"@[%a%a%a;@]"],ccr=[0,[15,[11,sb,[15,0]]],"%a = %a"],ocr=dm,vcr=D$,Acr=sr,scr=ey,bcr=qt,lcr=gs,Bcr=ys,jcr=Rx,kcr=[0,[11,jd,[15,[11,TQ,[15,[2,0,0]]]]],pt],pcr=Rx,dcr=[0,[11,jd,[15,[11,TQ,[15,[2,0,0]]]]],pt],mcr=[0,[11,"type variable ",[15,[11,"\n was promoted to its bound ",[15,[11,"\n and ",[2,0,0]]]]]],"type variable %a\n was promoted to its bound %a\n and %s"],_cr=kl,hcr=[0,[2,0,[11,"case `#",[2,0,[11,Zj,[2,0,[11,dU,[15,[2,0,0]]]]]]]],"%scase `#%s` is missing from %stype %a%s"],xcr=sE,ycr=tM,wcr=kl,gcr=[0,[2,0,[2,0,[11," `",[2,0,[11,Zj,[2,0,[11,dU,[15,[2,0,0]]]]]]]]],"%s%s `%s` is missing from %stype %a%s"],qcr=Rx,Icr=[0,[11,"there are fewer ",[2,0,[11,ja,[2,0,0]]]],"there are fewer %s than expected%s"],Dcr=Rx,Ecr=[0,[11,"there are more ",[2,0,[11,ja,[2,0,0]]]],"there are more %s than expected%s"],$cr=Rx,Tcr=[0,[11,"promoting ",[15,[11,"\n to `Any` loses data",[2,0,0]]]],"promoting %a\n to `Any` loses data%s"],Ncr=Rx,Fcr=[0,[11,jd,[15,[11,TQ,[15,[2,0,0]]]]],pt],Gcr=Rx,Ucr=[0,[11,"of incompatible object sorts:\n ",[2,0,[11," does not match ",[2,0,[2,0,0]]]]],"of incompatible object sorts:\n %s does not match %s%s"],Mcr=Rx,Pcr=[0,[11,"of incompatible function modifiers: ",[2,0,[11,LI,[2,0,[2,0,0]]]]],"of incompatible function modifiers: %s\n does not match %s%s"],Kcr=Rx,Ocr=[0,[11,"of incompatible function controls: ",[2,0,[11,LI,[2,0,[2,0,0]]]]],"of incompatible function controls: %s\n does not match %s%s"],Rcr=Rx,Qcr=[0,[11,"of incompatible function types: ",[15,[11,LI,[15,[2,0,0]]]]],"of incompatible function types: %a\n does not match %a%s"],Ccr=Rx,Lcr=[0,[11,"of incompatible async sorts: ",[2,0,[11,LI,[2,0,[2,0,0]]]]],"of incompatible async sorts: %s\n does not match %s%s"],Hcr=Rx,Vcr=[0,[11,"of incompatible async scopes: ",[15,[11,LI,[15,[2,0,0]]]]],"of incompatible async scopes: %a\n does not match %a%s"],Scr=rA,zcr=[0,[2,0,[11," (used by ",[2,0,[12,41,0]]]],"%s (used by %s)"],Jcr=[0,[2,0,[12,32,[2,0,[12,32,[2,0,0]]]]],"%s %s %s"],Wcr=DB,Zcr=[0,Ec,kl],Xcr=[0,"arguments",kl],Ycr=[0,"results",kl],ror=Rx,nor=[0,[12,96,[2,0,[12,96,0]]],LU],tor=Rx,eor=[0,[11,"`(",[2,0,[11," : _)`",0]]],"`(%s : _)`"],uor=kl,aor=[0,[12,96,[2,0,[12,96,0]]],LU],ior=Rx,cor=[0,[12,96,[2,0,[12,96,0]]],LU],oor=rA,vor=[0,[2,0,0],N_],Aor=[0,[2,0,[2,0,[4,0,0,0,0]]],"%s%s%d"],sor=[0,[12,59,[17,[0,ue,1,0],0]],";@ "],bor=[0,[12,44,[17,[0,ue,1,0],0]],",@ "],lor=[0,[11,nB,[17,[0,ue,1,0],0]],"...@ 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0x",[4,6,0,0,[11,GA,[4,6,0,0,[11,Ay,[4,6,0,0,[11,Or,0]]]]]]],"attr: 0x%x = a: 0x%x (in TAG 0x%x)\n"],lhr=[0,rf,En,12],Bhr=Pu,jhr=[0,[11,"DATA1 attr: 0x",[4,6,0,0,[11,GA,[4,6,0,0,[11,Ay,[4,6,0,0,[11,") PATH: ",[2,0,[11," ULT: (",[2,0,$z]]]]]]]]]],"DATA1 attr: 0x%x = a: 0x%x (in TAG 0x%x) PATH: %s ULT: (%s, %d)\n"],khr=[0,rf,Qa,12],phr=[0,rf,1060,45],dhr=[0,rf,1033,18],mhr=[0,rf,1266,6],_hr=Pu,hhr=FH([0,1,1,1,1,0,0,0,1,0,0,1]),xhr=[0,[1,0,0,0],0],yhr=[0,rf,980,12],whr=[0,rf,935,8],ghr=[0,rf,Hl,57],qhr=am,Ihr=cy,Dhr=mO,Ehr=Oj,$hr=ek,Thr=l_,Nhr=bs,Fhr=ux,Ghr=ZG,Uhr=to,Mhr=[0,rf,793,54],Phr=[0,rf,786,45],Khr=[0,rf,784,16],Ohr=[0,rf,qc,6],Rhr=OC(ge,Cq,0),Qhr=OC(ge,Cq,0),Chr=[0,rf,R_,13],Lhr=[0,rf,nx,25],Hhr=[0,[1,0,0,0],0],Vhr=om,Shr=EN,zhr=Pu,Jhr=mn,Whr=rA,Zhr=$j,Xhr=[0,uF,[0,Le,3]],Yhr=iR,rxr=NQ,nxr=iR,txr=NQ,exr=OC(nF,0,0),uxr=OC(ge,ge,$l),axr=[0,5],fxr=$_,ixr=$_,cxr=[0,nc,804,6],oxr=[0,nc,800,6],vxr=[0,nc,808,2],Axr=cy,sxr=mO,bxr=Oj,lxr=ek,Bxr=l_,jxr=bs,kxr=$g,pxr=ux,dxr=[0,[11,"unknown motoko section subsection id ",[4,0,0,0,0]],"unknown motoko section subsection id %d"],mxr=to,_xr=[0,[11,"unknown name section subsection id ",[4,0,0,0,0]],"unknown name section subsection id %d"],hxr=aw,xxr=[0,1],yxr=[0,0],wxr=aw,gxr=OC(0,PA,0),qxr=OC(0,0,0),Ixr=[1,0],Dxr=$g,Exr=[0,[4,6,[0,2,2],0,0],"%02x"],$xr=mO,Txr=Oj,Nxr=l_,Fxr=[0,CF,337,25],Gxr=[0,CF,hw,18],Uxr=[0,[4,0,0,0,[11,OT,0]],"%d: "],Mxr=[0,[11,"Candidate #",[4,0,0,0,[12,10,0]]],"Candidate #%d\n"],Pxr=[0,"mo_frontend/variance.ml",52,23],Kxr=oB,Oxr=[0,[12,96,[2,0,[11,"` cannot be inferred.",0]]],"`%s` cannot be inferred."],Rxr=[0,m,600,4],Qxr=[0,m,607,4],Cxr=[0,0,0],Lxr=[0,[2,0,[11," := ",[2,0,0]]],"%s := %s"],Hxr=[0,0,0],Vxr=Ac,Sxr=[0,[11,"bug: inferred bad instantiation\n <",[2,0,[11,">\nplease report this error message and, for now, supply an explicit instantiation instead",0]]],"bug: inferred bad instantiation\n <%s>\nplease report this error message and, for now, supply an explicit instantiation instead"],zxr=rN,Jxr=[0,[15,[11," (for the expected return type) ",0]],"%a (for the expected return type) "],Wxr=rN,Zxr=[0,[15,[11," (for argument `",[2,0,[11,"`) ",0]]]],"%a (for argument `%s`) "],Xxr=rN,Yxr=[0,[15,0],b],ryr=[0,[11,"there is no way to satisfy subtyping",[2,0,0]],"there is no way to satisfy subtyping%s"],nyr=Ac,tyr=[0,[11,"Hint: Add explicit type instantiation, e.g. <",[2,0,[12,62,0]]],"Hint: Add explicit type instantiation, e.g. <%s>"],eyr=[0,m,qU,17],uyr=[0,m,Ni,6],ayr=[0,m,PT,6],fyr=[0,m,292,6],iyr=[0,m,Ue,8],cyr=[0,m,Jg,8],oyr=[0,m,206,6],vyr=[0,m,209,6],Ayr=[0,[11,"bug: impossible over-constrained type parameter `",[2,0,[11,"` with",[15,[11,"\nwhere",[15,[11,"\nPlease report this bug and supply an explicit instantiation instead.",0]]]]]]],"bug: impossible over-constrained type parameter `%s` with%a\nwhere%a\nPlease report this bug and supply an explicit instantiation instead."],syr=rA,byr=Ms,lyr=rA,Byr=oB,jyr=[0,[11,'there is no "best" choice for type parameter',[2,0,[11," `",[2,0,[11,"`.",0]]]]],'there is no "best" choice for type parameter%s `%s`.'],kyr=[0,[11,"type parameter `",[2,0,[11,"` has a bound ",[15,[11,"\ninvolving another type parameter. Please provide an explicit instantiation.",0]]]]],"type parameter `%s` has a bound %a\ninvolving another type parameter. Please provide an explicit instantiation."],pyr=[0,m,QU,9],dyr=[0,m,CT,9],myr=[0,0,0],_yr=Eo,hyr=[0,[18,[1,[0,[11,GP,0],GP]],[15,[11,NG,[17,[0,ue,1,0],[18,[1,[0,[11,GP,0],GP]],[2,0,[11,NG,[17,[0,ue,1,0],[15,[17,0,[17,0,0]]]]]]]]]]],"@[%a <: @ @[%s <: @ %a@]@]"],xyr=[0,[18,[1,[0,[11,GP,0],GP]],[15,[11,DD,[2,0,[12,32,[17,[0,ue,1,0],[15,[17,0,0]]]]]]]],"@[%a %s @ %a@]"],yyr=[0,0,0],wyr=[0,0,0],gyr=[0,[4,0],0],qyr=[0,0,0],Iyr=[0,ac,KK,10],Dyr=[0,0,0],Eyr=cx,$yr=Ac,Tyr=ER,Nyr=[0,ac,id,2],Fyr=Xt,Gyr=[0,0],Uyr=[0,ac,213,13],Myr=[0,ac,nD,13],Pyr=[0,0],Kyr=[0,ac,T$,13],Oyr=[0,ac,wI,11],Ryr=[0,ac,hw,4],Qyr=[0,ac,LP,4],Cyr=[0,0],Lyr=[0,0],Hyr=[11,0],Vyr=[0,ac,f_,16],Syr=[0,0],zyr=[0,0],Jyr=[0,XO,Qo,4],Wyr=[0,XO,Gq,6],Zyr=[0,XO,Ux,6],Xyr=[0,[11,"cannot upgrade from an actor using enhanced migration to an actor not using enhanced migration. Please see ",[2,0,[12,46,0]]],"cannot upgrade from an actor using enhanced migration to an actor not using enhanced migration. Please see %s."],Yyr=[0,[2,0,[11," does not contain the stable variable `",[2,0,[11,"`. The migration function cannot require this variable as input, please see ",[2,0,[12,46,0]]]]]],"%s does not contain the stable variable `%s`. The migration function cannot require this variable as input, please see %s."],rwr=La,nwr=[0,[11,Qj,[2,0,[11,"` implicitly drops data of ",[2,0,[11,". \n The previous type",[15,[11,"\n is not a stable subtype of",[15,[11,Xu,[2,0,[11,".\n The data can only be dropped by an explicit migration function, please see ",[2,0,[12,46,0]]]]]]]]]]]]],"the new type of stable variable `%s` implicitly drops data of %s. \n The previous type%a\n is not a stable subtype of%a\n because %s.\n The data can only be dropped by an explicit migration function, please see %s."],twr=[0,[11,Qj,[2,0,[11,"` is not compatible with ",[2,0,[11,".\n The previous type",[15,[11,"\n is not a subtype of",[15,[11,Xu,[2,0,[11,".\n Write an explicit migration function, please see ",[2,0,[12,46,0]]]]]]]]]]]]],"the new type of stable variable `%s` is not compatible with %s.\n The previous type%a\n is not a subtype of%a\n because %s.\n Write an explicit migration function, please see %s."],ewr=[0,[11,"the stable variable `",[2,0,[11,"` of ",[2,0,[11," cannot be implicitly discarded. The variable can only be dropped by an explicit migration function, please see ",[2,0,0]]]]]],"the stable variable `%s` of %s cannot be implicitly discarded. The variable can only be dropped by an explicit migration function, please see %s"],uwr=La,awr=DB,fwr=DB,iwr=[0,[11,Zn,[2,0,0]],"mo:%s"],cwr=[0,[11,Zn,[2,0,[12,47,[2,0,0]]]],"mo:%s/%s"],owr=[0,[11," after adding `import ",[2,0,[11,' = "mo:',[2,0,[12,47,[2,0,[11,'"`',0]]]]]]],' after adding `import %s = "mo:%s/%s"`'],vwr=z_,Awr=rA,swr=rA,bwr=n$,lwr=[0,[11,"\nMaybe try conversion:\n ",[2,0,[12,63,0]]],"\nMaybe try conversion:\n %s?"],Bwr=rA,jwr=[0,[12,96,[2,0,[12,46,[2,0,[11,"(_)`",[2,0,0]]]]]],"`%s.%s(_)`%s"],kwr=[0,[11,"The ",[2,0,[12,32,[2,0,[11," is not available. Try something else?",0]]]]],"The %s %s is not available. Try something else?"],pwr=Xt,dwr=Ac,mwr=[0,[11,"help: did you mean ",[2,0,[12,32,[2,0,[12,63,0]]]]],"help: did you mean %s %s?"],_wr=rA,hwr=[0,[11,"expected module, object, or actor type, but path expression produces type",[15,0]],"expected module, object, or actor type, but path expression produces type%a"],xwr=[0,[11,"cannot infer type of forward variable reference ",[2,0,0]],"cannot infer type of forward variable reference %s"],ywr=[0,[11,"unavailable variable ",[2,0,0]],"unavailable variable %s"],wwr=[0,[11,Yh,[2,0,[15,0]]],ah],gwr=xN,qwr=[0,[11,JA,[2,0,[11,RU,[15,0]]]],C$],Iwr=tM,Dwr=[0,[11,nM,[2,0,0]],DN],Ewr=[0,[11,"unbound type ",[2,0,[15,0]]],"unbound type %s%a"],$wr="M0029",Twr=DB,Nwr=[0,[11,"type field ",[2,0,[11,RU,[15,0]]]],"type field %s does not exist in %a"],Fwr="M0030",Gwr=sE,Uwr=sE,Mwr=[0,[11,gl,[15,0]],BE],Pwr=kM,Kwr=[0,[11,cI,0],cI],Owr="M0040",Rwr=tM,Qwr=ds,Cwr=sE,Lwr=ds,Hwr=T,Vwr="variant type",Swr=[0,[11,xy,[15,0]],qu],zwr=xd,Jwr=[0,1],Wwr=[0,[11,mB,[15,0]],t_],Zwr=Aj,Xwr=[0,[11,"async has non-shared content type",[15,0]],"async has non-shared content type%a"],Ywr=GG,rgr=[0,[11,gi,0],gi],ngr=OF,tgr=[0,[11,"this intersection results in type",[15,[11,DK,[15,[11,Fc,[15,0]]]]]],"this intersection results in type%a\nbecause operand types are inconsistent,\nleft operand is%a\nright operand is%a"],egr=HT,ugr=[0,[11,aM,0],aM],agr=OF,fgr=[0,[11,"this union results in type",[15,[11,DK,[15,[11,Fc,[15,0]]]]]],"this union results in type%a\nbecause operand types are inconsistent,\nleft operand is%a\nright operand is%a"],igr=ru,cgr=[0,[11,S,[2,0,[11," must have shared function type, but has type\n ",[2,0,0]]]],"actor field %s must have shared function type, but has type\n %s"],ogr=Vc,vgr=[0,[11,fg,[2,0,[11,Kt,[2,0,0]]]],bw],Agr=[0,Mq,PU,26],sgr=[0,Mq,my,12],bgr=[0,[11,"duplicate type name ",[2,0,[11," in type parameter list",0]]],"duplicate type name %s in type parameter list"],lgr=[1,0,2],Bgr=[0,Mq,1032,9],jgr=[0,[11,"type argument",[15,[11,"\ndoes not match parameter bound",[15,0]]]],"type argument%a\ndoes not match parameter bound%a"],kgr=[0,Mq,En,12],pgr=[0,[11,"wrong number of type arguments: expected ",[4,0,0,0,[11,io,[4,0,0,0,0]]]],"wrong number of type arguments: expected %d but got %d"],dgr=Ac,mgr=[0,[11,"block contains non-productive definition",[2,0,[12,32,[2,0,0]]]],"block contains non-productive definition%s %s"],_gr=[0,[11,"block contains expansive type definitions",[2,0,0]],"block contains expansive type definitions%s"],hgr=[0,Mq,bu,4],xgr=[0,[11,kc,0],kc],ygr=[0,0],wgr=[0,1],ggr=[0,2],qgr=[0,[11,pg,0],pg],Igr=[0,[11,QR,0],QR],Dgr=[0,[11,Kg,0],Kg],Egr=[0,[11,hf,0],hf],$gr=[0,Mq,1117,4],Tgr=[0,[11,"cannot infer type of expression while trying to infer surrounding class type,\nbecause its type is a forward reference to type",[15,0]],"cannot infer type of expression while trying to infer surrounding class type,\nbecause its type is a forward reference to type%a"],Ngr=[0,Mq,1716,2],Fgr=[0,Mq,1718,2],Ggr=[0,Mq,1722,4],Ugr=[0,[11,gl,[15,0]],BE],Mgr=kM,Pgr=[0,[11,H$,0],H$],Kgr=[0,[11,yi,0],yi],Ogr=[0,[11,"cannot infer type of forward variable ",[2,0,0]],"cannot infer type of forward variable %s"],Rgr=[0,[11,Gu,[2,0,[11," is in scope but not available in compiled code",0]]],"variable %s is in scope but not available in compiled code"],Qgr=[0,1,0],Cgr=[0,0,0],Lgr=[0,[11,Yh,[2,0,[15,0]]],ah],Hgr=vr,Vgr=Xt,Sgr=[0,[11,"help: Did you mean to import ",[2,0,[12,63,0]]],"help: Did you mean to import %s?"],zgr=[0,[11,Yh,[2,0,[15,0]]],ah],Jgr=vr,Wgr=xN,Zgr=[0,[11,pv,0],pv],Xgr=[0,Mq,1790,6],Ygr=[0,[11,ID,[15,0]],Bd],rqr=kB,nqr=[0,Mq,1801,6],tqr=[0,[11,kv,[15,0]],yU],eqr=CO,uqr=[0,Mq,1812,6],aqr=[0,[11,"comparing abstract type",[15,[11,"\nto itself at supertype",[15,0]]]],"comparing abstract type%a\nto itself at supertype%a"],fqr=pU,iqr=[0,[11,"comparing incompatible types",[15,[11,$y,[15,[11,"\nat common supertype",[15,0]]]]]],"comparing incompatible types%a\nand%a\nat common supertype%a"],cqr=Om,oqr=[0,[11,Iu,[15,0]],"show is not defined for operand type%a"],vqr=[0,[11,mF,[15,0]],k$],Aqr=[2,16],sqr=[0,[11,Tg,0],Tg],bqr=[0,[11,cd,[21,1,[11," is out of bounds for type",[15,0]]]],"tuple projection %n is out of bounds for type%a"],lqr=[0,[11,"expected tuple type, but expression produces type",[15,0]],"expected tuple type, but expression produces type%a"],Bqr=[2,0],jqr=Gr,kqr=Gr,pqr=[0,[11,kK,0],kK],dqr=wU,mqr=[0,[11,"expected option type before '!', but expression produces type",[15,0]],"expected option type before '!', but expression produces type%a"],_qr=[0,[11,MR,0],MR],hqr=[0,3,[0,0,0]],xqr=[0,[11,wP,0],wP],yqr=[0,1,[0,2,0]],wqr=[0,[11,"body of type",[15,[11,si,[15,[15,0]]]]],"body of type%a\ndoes not match expected type%a%a"],gqr=rA,qqr=[0,[11,Cg,0],Cg],Iqr=[0,[11,"this array has type",[15,[11,"\nbecause elements have inconsistent types",0]]],"this array has type%a\nbecause elements have inconsistent types"],Dqr=NT,Eqr=[2,3],$qr=[0,[11,"expected array type or Blob, but expression produces type",[15,0]],"expected array type or Blob, but expression produces type%a"],Tqr=[0,[11,Fu,0],Fu],Nqr=[0,3,[0,0,0]],Fqr=[0,[11,w,0],w],Gqr=zu,Uqr=[0,1,[0,2,0]],Mqr=[0,[11,Lg,0],Lg],Pqr=U_,Kqr=[6,0],Oqr=[0,[11,HO,0],HO],Rqr=[0,[11,xy,[15,0]],qu],Qqr=xd,Cqr=[0,1],Lqr=[0,[11,WU,0],WU],Hqr=[0,[11,qB,0],qB],Vqr=[0,[11,mB,[15,0]],t_],Sqr=Aj,zqr=[0,[11,"this if has type",[15,[11,"\nbecause branches have inconsistent types,\ntrue produces",[15,[11,"\nfalse produces",[15,0]]]]]],"this if has type%a\nbecause branches have inconsistent types,\ntrue produces%a\nfalse produces%a"],Jqr=SU,Wqr=aQ,Zqr=[0,od,0],Xqr=od,Yqr=rA,rIr=[0,[11,"expected iterable type, but expression has type",[15,0]],"expected iterable type, but expression has type%a"],nIr=yj,tIr=[0,[11,gn,0],gn],eIr=VR,uIr=[0,[11,nt,[2,0,[15,0]]],"unbound label %s%a"],aIr=tc,fIr=Ex,iIr=yd,cIr=[0,[2,0,[11," outside of loop",0]],"%s outside of loop"],oIr=VR,vIr=[0,[11,jm,0],jm],AIr=[0,[11,vA,0],vA],sIr=[0,[11,pu,0],pu],bIr=fx,lIr=[0,3,[0,0,0]],BIr=os,jIr=[0,2],kIr=[0,[11,"async type has non-shared content type",[15,0]],"async type has non-shared content type%a"],pIr=GG,dIr=[0,[11,"ill-scoped await: expected async type from current scope ",[15,[11,", found async type from other scope ",[15,[15,[15,0]]]]]],"ill-scoped await: expected async type from current scope %a, found async type from other scope %a%a%a"],mIr=rA,_Ir=rA,hIr=[0,[11,"expected async",[2,0,[11," type, but expression has type",[15,[2,0,0]]]]],"expected async%s type, but expression has type%a%s"],xIr=jp,yIr=AF,wIr=GO,gIr=[0,[11,Fl,0],Fl],qIr=$o,IIr=[0,[11,Z,0],Z],DIr=jt,EIr=tM,$Ir=[0,[11,JA,[2,0,[11,RU,[15,0]]]],C$],TIr=[0,[11,JA,[2,0,[11," does exist in ",[15,[11,"\nbut is not ",[2,0,[12,46,0]]]]]]],"field %s does exist in %a\nbut is not %s."],NIr=tM,FIr=[0,[11,UG,[15,0]],oo],GIr=[0,[11,nM,[2,0,0]],DN],UIr=tM,MIr=[0,[11,Uo,0],Uo],PIr=[0,[11,"ambiguous type field in base",[15,0]],"ambiguous type field in base%a"],KIr=Aq,OIr=[0,[11,dr,0],dr],RIr=[0,[11,"base has non-aliasable var field",[15,0]],"base has non-aliasable var field%a"],QIr=[0,[11,k,0],k],CIr=[0,[11,"ambiguous field in base",[15,0]],"ambiguous field in base%a"],LIr=Aq,HIr=[0,[11,UG,[15,0]],oo],VIr=[0,[11,sn,0],sn],SIr=tM,zIr=sr,JIr=[3,0,0,0],WIr=[0,Mq,2396,2],ZIr=[0,Mq,2397,2],XIr=[0,Mq,2398,2],YIr=[0,[11,Dx,[15,[11,CG,[15,[15,0]]]]],"expression of type%a\ncannot produce expected type%a%a"],rDr=_y,nDr=[0,[11,"function return type",[15,[11,"\ndoes not match expected return type",[15,[15,0]]]]],"function return type%a\ndoes not match expected return type%a%a"],tDr="M0095",eDr=[0,[12,39,[2,0,[12,39,0]]],"'%s'"],uDr=[0,[11,"If you're trying to omit an implicit argument named ",[2,0,[11," you need to have a matching declaration named ",[2,0,[11," in scope.",0]]]]],"If you're trying to omit an implicit argument named %s you need to have a matching declaration named %s in scope."],aDr=Xt,fDr=[0,[11,"Did you mean to import ",[2,0,[12,63,0]]],"Did you mean to import %s?"],iDr=[0,[11,"Cannot determine implicit argument ",[2,0,[11,YG,[15,0]]]],"Cannot determine implicit argument %s of type%a"],cDr="M0230",oDr=[0,[11,Pw,0],Pw],vDr="M0090",ADr=[0,[11,kv,[15,0]],yU],sDr=CO,bDr=[2,16],lDr=[0,[11,"to_candid produces a Blob that is not a subtype of",[15,0]],"to_candid produces a Blob that is not a subtype of%a"],BDr="M0172",jDr=[0,[11,mF,[15,0]],k$],kDr="M0173",pDr=[2,16],dDr=[2,16],mDr=[0,[11,"from_candid produces an optional shared type, not type",[15,0]],"from_candid produces an optional shared type, not type%a"],_Dr="M0174",hDr=[2,0],xDr=Gr,yDr=Gr,wDr=[0,[11,kK,0],kK],gDr=wU,qDr=rA,IDr=Ms,DDr=Ac,EDr=[0,[11,"missing field",[2,0,[12,32,[2,0,[11," from expected type",[15,0]]]]]],"missing field%s %s from expected type%a"],$Dr="M0151",TDr=rA,NDr=[0,[2,0,[11,"mutable array expression cannot produce expected type",[15,0]]],"%smutable array expression cannot produce expected type%a"],FDr="M0091",GDr=aQ,UDr=[0,[11,pu,0],pu],MDr=fx,PDr=[0,3,[0,0,0]],KDr=os,ODr="Use keyword 'async' (not 'async*') to produce the expected type.",RDr="Use keyword 'async*' (not 'async') to produce the expected type.",QDr=[0,[11,"async expression cannot produce expected async type ",[15,[11,sq,[2,0,0]]]],"async expression cannot produce expected async type %a.\n%s"],CDr="M0183",LDr=[0,[11,"async at scope",[15,[11,"\ncannot produce expected scope",[15,[15,[15,0]]]]]],"async at scope%a\ncannot produce expected scope%a%a%a"],HDr="M0092",VDr=AF,SDr=GO,zDr=[0,[11,Dx,[15,[11,CG,[15,[15,[2,0,0]]]]]],"expression of type%a\ncannot produce expected type%a%a%s"],JDr=_y,WDr=[0,[11,"expected mutable 'var' field ",[2,0,[11,YG,[15,[11,"\nbut found immutable field (insert 'var'?)",0]]]]],"expected mutable 'var' field %s of type%a\nbut found immutable field (insert 'var'?)"],ZDr=[0,[11,"expected immutable field ",[2,0,[11,YG,[15,[11,"\nbut found mutable 'var' field (delete 'var'?)",0]]]]],"expected immutable field %s of type%a\nbut found mutable 'var' field (delete 'var'?)"],XDr=[0,Mq,2664,35],YDr=[0,[11,w,0],w],rEr=zu,nEr=[0,1,[0,2,0]],tEr=_N,eEr=rA,uEr=_N,aEr=rA,fEr=[0,[2,0,[11,"shared function does not match expected ",[2,0,[11,"shared function type",0]]]],"%sshared function does not match expected %sshared function type"],iEr=rA,cEr=[0,[11,"field `",[2,0,[11,"` is provided but not expected in record",[2,0,[11,YG,[15,0]]]]]],"field `%s` is provided but not expected in record%s of type%a"],oEr=Ti,vEr=[0,[11,"public type `",[2,0,[11,XD,[15,0]]]],"public type `%s` is provided but not expected in object of type%a"],AEr=Ti,sEr=[0,[11,"public field `",[2,0,[11,XD,[15,0]]]],"public field `%s` is provided but not expected in object of type%a"],bEr=Ti,lEr=[0,Mq,2703,24],BEr=[0,Mq,2689,24],jEr=[0,1,0],kEr=Xt,pEr=[0,[11,"\nHint: Did you mean to import ",[2,0,[12,63,0]]],"\nHint: Did you mean to import %s?"],dEr=[1,"hole"],mEr=[0,[11,"The `",[2,0,[11,"` argument can be inferred and omitted here (the function parameter is `implicit`).",0]]],"The `%s` argument can be inferred and omitted here (the function parameter is `implicit`)."],_Er=Jf,hEr=rA,xEr=Jf,yEr=[0,[11,"expected function type, but expression produces type",[15,0]],"expected function type, but expression produces type%a"],wEr=[0,[11,LG,0],LG],gEr=[0,Mq,2870,14],qEr=WK,IEr=[0,[11,Un,0],Un],DEr=WK,EEr=rA,$Er=[0,[11,"shared function argument contains abstract type",[15,0]],"shared function argument contains abstract type%a"],TEr=[0,[11,"shared function call result contains abstract type",[15,0]],"shared function call result contains abstract type%a"],NEr=[0,[11,rF,0],rF],FEr=rA,GEr=[0,[11,"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)",0]]],"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)"],UEr=Qx,MEr=[0,[11,"wrong number of arguments: expected ",[4,0,0,0,[11,io,[4,0,0,0,[12,10,[15,[12,10,[15,0]]]]]]]],"wrong number of arguments: expected %d but got %d\n%a\n%a"],PEr=[0,[11,Dx,[15,[11,CG,[15,0]]]],uK],KEr=_y,OEr=[0,Mq,3063,10],REr=[0,[11,"function `.",[2,0,[12,96,0]]],"function `.%s`"],QEr=Hf,CEr=[0,[12,10,[2,0,0]],"\n%s"],LEr=rA,HEr=[0,[11,"cannot apply ",[2,0,[11,YG,[15,[11,"\nto argument of type",[15,[11,Iv,[2,0,[2,0,0]]]]]]]]],"cannot apply %s of type%a\nto argument of type%a\nbecause %s%s"],VEr=[0,Mq,3155,2],SEr=[0,[11,"the switch has type",[15,[11,"\nbecause branches have inconsistent types,\nthis case produces type",[15,[11,"\nthe previous produce type",[15,0]]]]]],"the switch has type%a\nbecause branches have inconsistent types,\nthis case produces type%a\nthe previous produce type%a"],zEr=hE,JEr=[0,Mq,3217,2],WEr=[0,[11,wf,0],wf],ZEr=[0,[11,dt,0],dt],XEr=[0,[11,ID,[15,0]],Bd],YEr=kB,r$r=[0,[11,pO,0],pO],n$r=[0,[11,rd,[2,0,[11,Td,0]]],Ol],t$r=ir,e$r=[0,[11,rd,[2,0,[11,Td,0]]],Ol],u$r=ir,a$r=[0,[11,A,0],A],f$r=HR,i$r=[0,[11,lh,0],lh],c$r=[0,3,[0,0,0]],o$r=[0,[11,Oo,0],Oo],v$r=[0,[11,pp,0],pp],A$r=[0,3,[0,0,0]],s$r=[0,[11,JN,0],JN],b$r=[0,Mq,3321,19],l$r=[0,Mq,3334,2],B$r=[0,[11,"this expression has type `",[15,[12,96,0]]],"this expression has type `%a`"],j$r=[0,Mq,3346,2],k$r=[0,[11,"literal pattern cannot consume expected type",[15,0]],"literal pattern cannot consume expected type%a"],p$r="M0110",d$r=[0,[11,"operator pattern cannot consume expected type",[15,0]],"operator pattern cannot consume expected type%a"],m$r="M0111",_$r=cx,h$r=rA,x$r=[0,[11,NA,[15,[11,"`, got `(",[2,0,[11,")`",0]]]]],"expected `%a`, got `(%s)`"],y$r=[0,[11,zA,0],zA],w$r="M0112",g$r=[0,[11,NA,[15,[11,"`, got object type",0]]],"expected `%a`, got object type"],q$r=[0,[11,Sj,0],Sj],I$r="M0113",D$r=[0,[11,"object pattern cannot consume values from actor type",[15,0]],"object pattern cannot consume values from actor type%a"],E$r="M0114",$$r=[0,[11,NA,[15,[11,"`, got `?_`",0]]],"expected `%a`, got `?_`"],T$r=[0,[11,dw,0],dw],N$r="M0115",F$r=[0,[11,NA,[15,[11,"`, got `{#",[2,0,[11," : _}`",0]]]]],"expected `%a`, got `{#%s : _}`"],G$r=[0,[11,av,0],av],U$r="M0116",M$r=[0,[11,fb,0],fb],P$r=Ll,K$r=[0,[11,"pattern of type",[15,[11,"\ncannot consume expected type",[15,0]]]],"pattern of type%a\ncannot consume expected type%a"],O$r="M0117",R$r=[0,[11,rd,[2,0,[11,Td,0]]],Ol],Q$r=ir,C$r=[0,[11,Md,[4,3,0,0,[11,Dw,[4,3,0,0,0]]]],Gf],L$r=zf,H$r=[0,[11,"duplicate field ",[2,0,[11,UE,0]]],"duplicate field %s in object pattern"],V$r=aq,S$r=[0,[11,"object field ",[2,0,[11,Pv,[15,0]]]],"object field %s is not contained in expected type%a"],z$r=EI,J$r=[0,[11,"cannot pattern match mutable field ",[2,0,0]],"cannot pattern match mutable field %s"],W$r="M0120",Z$r=tM,X$r=[0,[11,rd,[2,0,[11,Td,0]]],Ol],Y$r=ir,rTr=[0,[11,A,0],A],nTr=HR,tTr=rA,eTr=[0,[11,"mismatched types for type ",[2,0,[11," in patterns",0]]],"mismatched types for type %s in patterns"],uTr=Ll,aTr=[0,[11,kd,0],kd],fTr=Ll,iTr=[0,[11,Cl,[2,0,[11,Td,0]]],"duplicate binding for type %s in pattern"],cTr=ir,oTr=[0,[11,Md,[4,3,0,0,[11,Dw,[4,3,0,0,0]]]],Gf],vTr=zf,ATr=[0,[11,"object type field ",[2,0,[11,Pv,[15,0]]]],"object type field %s is not contained in expected type%a"],sTr=EI,bTr=[0,[11,"duplicate type field ",[2,0,[11,UE,0]]],"duplicate type field %s in object pattern"],lTr=aq,BTr=[0,[11,"duplicate type binding for ",[2,0,[11,Td,0]]],"duplicate type binding for %s in pattern"],jTr=ir,kTr=rA,pTr=[0,[11,Dv,[2,0,[11,Ep,[2,0,[11,rg,[2,0,[11,"object type have colliding hashes",0]]]]]]],"field names %s and %s in %sobject type have colliding hashes"],dTr=[0,[11,$E,0],$E],mTr=[0,1,[0,2,0]],_Tr=[0,[11,UN,0],UN],hTr=[0,[11,"public actor field ",[2,0,[11," has non-shared function type",[15,0]]]],"public actor field %s has non-shared function type%a"],xTr=[0,[11,JA,[2,0,[11," in parenthetical is declared with type",[15,[11,DR,[15,0]]]]]],"field %s in parenthetical is declared with type%a\ninstead of expected type%a"],yTr=[0,Mq,3799,39],wTr=[0,[11,aU,0],aU],gTr=Qt,qTr=[0,[11,Bq,0],Bq],ITr=Qt,DTr=[0,Mq,3802,25],ETr=[0,[11,Za,0],Za],$Tr=zn,TTr=[0,[11,Wy,[2,0,[11," in parenthetical",0]]],"unrecognised attribute %s in parenthetical"],NTr=Ta,FTr=[0,[11,"system function ",[2,0,[11," is declared with type",[15,[11,DR,[15,0]]]]]],"system function %s is declared with type%a\ninstead of expected type%a"],GTr=[0,[11,sM,0],sM],UTr=[0,[11,Vj,0],Vj],MTr=qQ,PTr=Xt,KTr=[0,[11,"unexpected system method named ",[2,0,[11,", expected ",[2,0,0]]]],"unexpected system method named %s, expected %s"],OTr=[0,[11,yG,0],yG],RTr=[0,Mq,3862,9],QTr=Bx,CTr=[0,[11,Qn,0],Qn],LTr=qg,HTr=[0,[11,xb,0],xb],VTr=qg,STr=[0,[11,__,0],__],zTr=qg,JTr=[0,[11,$R,0],$R],WTr=[0,[11,"expected stable type, but migration expression ",[2,0,[11," non-stable type",[15,0]]]],"expected stable type, but migration expression %s non-stable type%a"],ZTr=[0,[11,"expected object type, but migration expression ",[2,0,[11," non-object type",[15,0]]]],"expected object type, but migration expression %s non-object type%a"],XTr=rA,YTr=[0,[11,"expected non-generic, local function type, but migration expression produces type",[15,0]],"expected non-generic, local function type, but migration expression produces type%a"],rNr=[0,[11,"initial actor requires field `",[2,0,[11,Mv,[15,0]]]],"initial actor requires field `%s` of type%a"],nNr=Wp,tNr=[0,[11,gG,[2,0,[11,Mv,[15,[11,"\nbut does not produce it, yet the field is declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it, yet the field is declared in the actor.\n%s\n%s"],eNr=Yq,uNr=[0,[11,gG,[2,0,[11,Mv,[15,[11,"\nbut does not produce it. The field is not declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it. The field is not declared in the actor.\n%s\n%s"],aNr=fQ,fNr=[0,[11,"migration expression produces unexpected field `",[2,0,[11,Mv,[15,[12,10,[2,0,0]]]]]],"migration expression produces unexpected field `%s` of type%a\n%s"],iNr=tM,cNr=[0,[11,"migration expression produces field `",[2,0,[11,Mv,[15,[11,"\n, not the expected type",[15,[15,0]]]]]]],"migration expression produces field `%s` of type%a\n, not the expected type%a%a"],oNr=rA,vNr=[0,[11,"expected expression with field `migration`, but expression has type",[15,0]],"expected expression with field `migration`, but expression has type%a"],ANr=[0,[11,QO,0],QO],sNr=kR,bNr=[0,Mq,4076,24],lNr=[0,[11,Wy,[2,0,[11," in parenthetical note",0]]],"unrecognised attribute %s in parenthetical note"],BNr=Ta,jNr=[0,[11,zr,0],zr],kNr=[0,[11,pN,0],pN],pNr=tg,dNr=[0,[11,sK,0],sK],mNr=[0,[11,PR,0],PR],_Nr=hK,hNr=[0,[11,$,0],$],xNr=[0,[11,Tv,0],Tv],yNr=rA,wNr=[0,[11,Sk,[2,0,[11,"stability modifier: allowed on var or simple let declarations only",0]]],"misplaced %sstability modifier: allowed on var or simple let declarations only"],gNr=[0,[11,Gu,[2,0,[11,gQ,[15,0]]]],qP],qNr=IE,INr=[0,Mq,4138,14],DNr=kR,ENr=Vu,$Nr=NO,TNr=[0,[11,"Avoid binding a unit `()` result; remove `",[2,0,[11,"` and keep the expression",0]]],"Avoid binding a unit `()` result; remove `%s` and keep the expression"],NNr=iP,FNr=[0,[11,Gc,0],Gc],GNr=[0,[11,Bh,0],Bh],UNr=[0,[11,Hd,0],Hd],MNr=[0,[11,"shared constructor has non-shared parameter type",[15,0]],"shared constructor has non-shared parameter type%a"],PNr=[0,[11,rx,0],rx],KNr=[0,Mq,4403,35],ONr=[0,[11,rI,0],rI],RNr=EG,QNr=[0,[11,"class body of type",[15,[11,si,[15,0]]]],"class body of type%a\ndoes not match expected type%a"],CNr=[0,[11,H_,0],H_],LNr=[0,[11,R$,0],R$],HNr=[0,[11,tI,[2,0,0]],qG],VNr=fs,SNr=[0,[11,"empty block cannot produce expected type",[15,0]],"empty block cannot produce expected type%a"],zNr=[0,[11,Dx,[15,[11,CG,[15,0]]]],uK],JNr=_y,WNr=rA,ZNr=dU,XNr=rA,YNr=[0,[11,tI,[2,0,0]],qG],rFr=fs,nFr=dU,tFr=rA,eFr=rA,uFr=dU,aFr=[0,0,2],fFr=[0,[11,tI,[2,0,0]],qG],iFr=fs,cFr=[0,Mq,4692,2],oFr=[0,Mq,4695,10],vFr=[0,[11,kn,0],kn],AFr=Lr,sFr=[0,[11,dE,0],dE],bFr="M0138",lFr=[0,3,[0,0,0]],BFr=[0,[11,wT,0],wT],jFr="M0139",kFr=[0,1,[0,2,0]],pFr=[0,[11,cP,0],cP],dFr="M0140",mFr=[0,[11,Gu,[2,0,[11,gQ,[15,0]]]],qP],_Fr=IE,hFr=[0,Mq,5003,28],xFr=tM,yFr=ds,wFr=T,gFr=[0,[11,ym,0],ym],qFr=[0,[11,Wj,0],Wj],IFr=BK,DFr=[0,[11,Rp,0],Rp],EFr=[0,[11,uI,0],uI],$Fr=Ju,TFr=[0,[11,ht,0],ht],NFr=Po,FFr=[0,Mq,4930,26],GFr=[0,Mq,4931,23],UFr=[0,[11,Hw,0],Hw],MFr=jk,PFr=[0,1,[0,2,0]],KFr=[0,[11,OP,0],OP],OFr=jk,RFr=[0,[11,"duplicate binding for mixin ",[2,0,[11,m_,0]]],"duplicate binding for mixin %s in imports"],QFr=ir,CFr=[0,[11,Cl,[2,0,[11,m_,0]]],"duplicate binding for type %s in imports"],LFr=ir,HFr=[0,[11,rd,[2,0,[11,m_,0]]],"duplicate binding for %s in imports"],VFr=ir,SFr=[0,[11,al,0],al],zFr=[0,Mq,4802,4],JFr=[0,Mq,4806,9],WFr=iT,ZFr=rA,XFr=nB,YFr=[0,[11,"You can use the dot notation `",[2,0,[12,46,[2,0,[11,"(...)` here",0]]]]],"You can use the dot notation `%s.%s(...)` here"],rGr=iT,nGr=Ac,tGr=[0,[11,"overlapping resolution for `",[2,0,[11,"` in scope from these modules: ",[2,0,0]]]],"overlapping resolution for `%s` in scope from these modules: %s"],eGr=Ac,uGr=[0,[11,"The ambiguous implicit candidates are: ",[2,0,[12,46,0]]],"The ambiguous implicit candidates are: %s."],aGr=[0,[11,"ambiguous implicit argument ",[2,0,[11,Do,[15,[12,46,0]]]]],"ambiguous implicit argument %s of type %a."],fGr=[0,0,0],iGr=[0,[11,"operator is not defined for operand types",[15,[11,$y,[15,0]]]],"operator is not defined for operand types%a\nand%a"],cGr=[0,[11,"duplicate definition for ",[2,0,[2,0,[11,JT,0]]]],"duplicate definition for %s%s in block"],oGr=[8,0,0,0,0,[0,[2,2],0]],vGr=WP,AGr=[2,14],sGr=uP,bGr=[2,2],lGr=gR,BGr=[8,0,0,0,0,[0,[2,2],0]],jGr=WP,kGr=[2,3],pGr=QE,dGr=[2,3],mGr=IB,_Gr=[8,0,0,0,[0,[2,2],0],[0,[2,3],0]],hGr=Pt,xGr=[2,2],yGr=l,wGr=QE,gGr=IB,qGr=[2,2],IGr=gR,DGr=[8,0,0,0,0,[0,[2,2],0]],EGr=WP,$Gr=[0,[2,2],0],TGr=Pt,NGr=rA,FGr=[0,[11,"literal of type",[15,[11,"\ndoes not have expected type",[15,[2,0,0]]]]],"literal of type%a\ndoes not have expected type%a%s"],GGr=[0,Mq,1280,4],UGr=[0,[11,'string literal "',[2,0,[11,'": is not valid utf8',0]]],'string literal "%s": is not valid utf8'],MGr=[0,[11,"literal out of range for type ",[2,0,0]],"literal out of range for type %s"],PGr=[0,[11,Sk,[2,0,[11,"; try enclosing in an async expression or query function",0]]],"misplaced %s; try enclosing in an async expression or query function"],KGr=NM,OGr=[0,[11,Sk,[2,0,0]],ic],RGr=NM,QGr=[0,[11,Sk,[2,0,[11,"; try enclosing in an async expression",0]]],"misplaced %s; try enclosing in an async 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not parse ",[3,0,[11," as an actor reference: ",[2,0,0]]]],"could not parse %S as an actor reference: %s"],qun=[0,[2,0,0],N_],Iun=[0,[11,qA,0],qA],Dun=Gr,Eun=[3,1,0,0],$un=[0,tk,753,4],Tun=[0,tk,E,20],Nun=xc,Fun=[0,[11,bR,0],bR],Gun=[0,[11,vP,0],vP],Uun=[2,16],Mun=[0,tk,IO,8],Pun=[0,[11,"switch value ",[2,0,[11," does not match any case",0]]],"switch value %s does not match any case"],Kun=[0,tk,897,19],Oun=[0,tk,KI,11],Run=[0,tk,943,9],Qun=[0,[11,"context value ",[2,0,[11," does not match context pattern",0]]],"context value %s does not match context pattern"],Cun=[0,tk,lj,4],Lun=[0,tk,1046,56],Hun=[0,[11,JP,[2,0,[11,qx,0]]],uc],Vun=[0,[11,Mk,0],Mk],Sun=[0,[11,"<= ",[2,0,0]],Yu],zun=[0,[2,0,[2,0,0]],"%s%s"],Jun=CB,Wun=[0,[11,"argument value ",[2,0,[11," does not match parameter list",0]]],"argument value %s does not match parameter list"],Zun=vn,Xun=[0,[11,xi,0],xi],Yun=Po,ran=[0,tk,1190,9],nan=[0,[11,cG,0],cG],tan=[0,[11,"cancelled: ",[2,0,[12,10,0]]],"cancelled: %s\n"],ean=rA,uan=rA,aan=[0,[11,zD,[2,0,[11,Hy,[2,0,[11," cannot handle non-tuple value ",[2,0,0]]]]]],"call %s: calling convention %s cannot handle non-tuple value %s"],fan=[0,[11,zD,[2,0,[11,Hy,[2,0,[11," got tuple of wrong length ",[2,0,0]]]]]],"call %s: calling convention %s got tuple of wrong length %s"],ian=[0,[11,"call_conv mismatch: function ",[2,0,[11,Do,[2,0,[11," expecting ",[2,0,[11,", found ",[2,0,0]]]]]]]],"call_conv mismatch: function %s of type %s expecting %s, found %s"],can=od,oan=od,van=[0,[11,Rg,0],Rg],Aan=od,san=od,ban=od,lan=[15,0],Ban=[0,[11,hd,0],hd],jan=[0,[11,hd,0],hd],kan=[0,tk,Uq,16],pan=[0,[11,"actorfield: ",[2,0,[12,32,[2,0,0]]]],"actorfield: %s %s"],dan=[0,[11,VB,[2,0,[12,32,[2,0,[2,0,0]]]]],"<- await%s %s%s"],man=[0,[11,VB,[2,0,[12,32,[2,0,[11," threw ",[2,0,0]]]]]],"<- await%s %s threw %s"],_an=NN,han=rA,xan=[0,[11,"=> await",[2,0,[12,32,[2,0,0]]]],"=> await%s %s"],yan=[0,[11,"<= ",[2,0,0]],Yu],wan=[0,[11,"<- async ",[2,0,0]],"<- async %s"],gan=[0,[11,"-> async ",[2,0,0]],"-> async %s"],qan=Gi,Ian=[0,tk,Fi,9],Dan=[0,[2,0,[11,": execution error, ",[2,0,[12,10,0]]]],"%s: execution error, %s\n"],Ean=[0,[2,0,[11,sb,[2,0,[12,10,0]]]],"%s = %s\n"],$an=[0,[10,0],"%!"],Tan=[0,[2,0,[11,": internal error, ",[2,0,[12,10,0]]]],"%s: internal error, %s\n"],Nan=[0,[11,Hj,0],Hj],Fan=[0,[12,10,0],yq],Gan=[0,[2,0,0],N_],Uan=[0,[10,0],"%!"],Man=[0,[2,0,[2,0,[12,10,[10,0]]]],"%s%s\n%!"],Pan=[0,[11,'Actor "',[2,0,[11,'" has no method "',[2,0,[12,34,0]]]]],'Actor "%s" has no method "%s"'],Kan=[0,[11,'Unknown actor "',[2,0,[12,34,0]]],'Unknown actor "%s"'],Oan=ki,Ran=[0,[11,"unbound identifier ",[2,0,[11," in domain ",[2,0,0]]]],"unbound identifier %s in domain %s"],Qan=[0,1,1,1,1,1],Can=[0,0,1],Lan=[0,1,0],Han=[0,"ir_def/ir_effect.ml",Qo,22],Van=[0,Oe,825,19],San=z,zan=z,Jan=z,Wan=[0,Oe,717,9],Zan=[0,Oe,710,8],Xan=wn,Yan=wn,rfn=[0,Oe,671,9],nfn=[0,Oe,636,2],tfn=[0,Oe,635,11],efn=jA,ufn=[0,Oe,608,11],afn=Ov,ffn=[0,Oe,552,2],ifn=[0,Oe,547,2],cfn=[0,Oe,498,2],ofn=[1,0],vfn=[2,0],Afn=[2,0],sfn=[0,Oe,Zi,11],bfn=[0,Oe,xu,11],lfn=[0,Oe,pd,9],Bfn=[0,Oe,lw,9],jfn=[0,Oe,QU,11],kfn=[0,[2,0,[4,3,0,0,0]],"%s%i"],pfn=[0,[12,36,[2,0,[12,47,[4,3,0,0,0]]]],"$%s/%i"],dfn=[0,"ir_def/rename.ml",142,4],mfn=[0,"ir_def/subst_var.ml",82,4],_fn=RA,hfn=fR,xfn=TK,yfn=ei,wfn=pG,gfn=KD,qfn=Q,Ifn=QI,Dfn=dQ,Efn=nu,$fn=lq,Tfn=j$,Nfn=TM,Ffn=[0,K$],Gfn=Wg,Ufn=Wg,Mfn=Vn,Pfn=HI,Kfn=[0,"TupPrim"],Ofn=[0,"OptPrim"],Rfn=[0,"IdxPrim"],Qfn=[0,"IdxBlobPrim"],Cfn=[0,"RetPrim"],Lfn=[0,"AssertPrim"],Hfn=[0,"ThrowPrim"],Vfn=[0,"DecodeUtf8"],Sfn=[0,"EncodeUtf8"],zfn=[0,"BlobOfIcUrl"],Jfn=[0,"IcUrlOfBlob"],Wfn=[0,"SystemTimePrim"],Zfn=[0,"NextArrayOffset"],Xfn=[0,"EqArrayOffset"],Yfn=[0,"DerefArrayOffset"],rin=[0,"GetLastArrayOffset"],nin=[0,"SystemCyclesAddPrim"],tin=[0,"SystemCyclesAcceptPrim"],ein=[0,"SystemCyclesAvailablePrim"],uin=[0,"SystemCyclesBalancePrim"],ain=[0,"SystemCyclesRefundedPrim"],fin=[0,"SystemCyclesBurnPrim"],iin=[0,"SystemTimeoutSetPrim"],cin=[0,"SetCertifiedData"],oin=[0,"GetCertificate"],vin=[0,"ICPerformGC"],Ain=[0,"ICRejectPrim"],sin=[0,"ICCallerPrim"],bin=[0,"ICCallPrim"],lin=[0,"ICCallRawPrim"],Bin=[0,"ICMethodNamePrim"],jin=[0,"ICReplyDeadlinePrim"],kin=[0,"ICArgDataPrim"],pin=AP,din=[0,"AwaitPrim?"],min=[0,"AwaitPrim"],_in=[0,"AwaitPrim*"],hin=[0,ug],xin=[0,HE],yin=[0,yF],win=hm,gin=RG,qin=cr,Iin=ul,Din=$t,Ein=ed,$in=OI,Tin=[0,nv],Nin=Ok,Fin=L,Gin=pF,Uin=e$,Min=Up,Pin=s$,Kin=WR,Oin=On,Rin=Zw,Qin=fl,Cin=qh,Lin=bh,Hin=Vs,Vin=AU,Sin=Id,zin=Qe,Jin=Uw,Win=[0,[3,0,0],"%S"],Zin=co,Xin=Ry,Yin=Mb,rcn=Gh,ncn=xE,tcn=xE,ecn=[0,[11,sc,0],sc],ucn=[0,[11,"free type variable ",[2,0,[11,", index ",[4,3,0,0,0]]]],"free type variable %s, index %i"],acn=[0,[11,"free type constructor ",[2,0,[12,32,0]]],"free type constructor %s "],fcn=sr,icn=[0,[11,"object type's fields are not distinct and sorted ",[2,0,0]],"object type's fields are not distinct and sorted %s"],ccn=dx,ocn=[0,[11,"variant type's fields are not distinct and sorted ",[2,0,0]],"variant type's fields are not distinct and sorted %s"],vcn=[0,1],Acn=[0,[11,"one-shot function cannot have non-unit return types:\n ",[2,0,0]],"one-shot function cannot have non-unit return types:\n %s"],scn=[0,[11,WF,[2,0,0]],Od],bcn=[0,[11,_B,[2,0,0]],Sl],lcn=[0,[11,"replying function cannot be local:\n ",[2,0,0]],"replying function cannot be local:\n %s"],Bcn=[0,[11,_B,[2,0,0]],Sl],jcn=[0,[11,WF,[2,0,0]],Od],kcn=[0,[11,"unexpected T.Mut ",[2,0,0]],"unexpected T.Mut %s"],pcn=[0,[11,S,[2,0,[11," must have shared function type, found ",[2,0,0]]]],"actor field %s must have shared function type, found %s"],dcn=Vc,mcn=[0,[11,fg,[2,0,[11,Kt,[2,0,0]]]],bw],_cn=[0,Sw,qj,56],hcn=[0,[11,QK,0],QK],xcn=[0,[11,g_,0],g_],ycn=TM,wcn=j$,gcn=[0,[11,"const ",[2,0,[11," with non-const variable ",[2,0,0]]]],"const %s with non-const variable %s"],qcn=[0,[11,"IR has aliasing (or Check_ir visits nodes twice):\n",[2,0,0]],"IR has aliasing (or Check_ir visits nodes twice):\n%s"],Icn=[2,3],Dcn=[0,Sw,557,21],Ecn=[0,[11,jm,0],jm],$cn=[0,[11,fF,[2,0,0]],ZP],Tcn=[0,[11,Hu,[2,0,0]],Ir],Ncn=[0,[11,Hu,[2,0,0]],Ir],Fcn=[0,[11,"expected tuple type, but expression produces type\n ",[2,0,0]],"expected tuple type, but expression produces type\n %s"],Gcn=[0,[11,cd,[21,1,[11," is out of bounds for type\n ",[2,0,0]]]],"tuple projection %n is out of bounds for type\n %s"],Ucn=[0,[11,nt,[2,0,0]],"unbound label %s"],Mcn=[0,[11,we,0],we],Pcn=[0,[11,"expected async type, but expression has type\n ",[2,0,0]],"expected async type, but expression has type\n %s"],Kcn=Iu,Ocn=[0,[11,"ActorOfIdBlob cast to actor object type, not\n ",[2,0,0]],"ActorOfIdBlob cast to actor object type, not\n %s"],Rcn=[0,[11,"CPSAwait expect async arg, found ",[2,0,0]],"CPSAwait expect async arg, found %s"],Qcn=[0,[11,V$,0],V$],Ccn=[0,[11,cb,0],cb],Lcn=[0,[11,Fh,0],Fh],Hcn=[0,[11,vT,[2,0,0]],AM],Vcn=df,Scn=[0,[11,hb,[2,0,[11,$d,[2,0,0]]]],Uk],zcn=[0,[11,fF,[2,0,0]],ZP],Jcn=[0,[11,"PrimE ",[2,0,[11," does not work with ",[4,0,0,0,[11," arguments",0]]]]],"PrimE %s does not work with %d arguments"],Wcn=[0,[11,Yh,[2,0,0]],lk],Zcn=[0,Sw,SK,7],Xcn=[0,Sw,432,7],Ycn=[0,[11,Cg,0],Cg],ron=[0,Sw,790,4],non=[0,[11,"expected mutable ",[2,0,0]],"expected mutable %s"],ton=[0,[11,Yh,[2,0,0]],lk],eon=CI,uon=CI,aon=fR,fon=[0,[11,_g,0],_g],ion=[0,[11,Yh,[2,0,0]],lk],con=[0,[11,fF,[2,0,0]],ZP],oon=[0,[11,vT,[2,0,0]],AM],von=df,Aon=[0,[11,hb,[2,0,[11,$d,[2,0,0]]]],Uk],son=[0,[11,rd,[2,0,[11," in argument list",0]]],"duplicate binding for %s in argument list"],bon=[0,[11,rd,[2,0,[11,JT,0]]],"duplicate binding for %s in block"],lon=[0,Sw,Nt,2],Bon=[6,0],jon=[0,[11,me,0],me],kon=[0,[11,rd,[2,0,[11,Td,0]]],Ol],pon=[0,[11,"cannot match mutable field ",[2,0,0]],"cannot match mutable field %s"],don=[0,[11,"field typing for ",[2,0,[11," not found",0]]],"field typing for %s not found"],mon=[0,Sw,1132,2],_on=[0,Sw,1150,9],hon=tf,xon=tf,yon=[0,[11,bt,[2,0,[11,":\n",0]]],"Ill-typed intermediate code after %s:\n"],won=[0,[2,0,0],N_],gon=[0,[2,0,0],N_],qon=[0,[2,0,0],N_],Ion=[0,[11,bt,[2,0,[11," (use -v to see dumped IR):\n",0]]],"Ill-typed intermediate code after %s (use -v to see dumped IR):\n"],Don=[0,[2,0,0],N_],Eon=[0,[2,0,0],N_],$on=CI,Ton=[0,[11,Dv,[2,0,[11,Ep,[2,0,[11,rg,[2,0,[11," type have colliding hashes",0]]]]]]],"field names %s and %s in %s type have colliding hashes"],Non=[0,[11,"message argument is not concrete:\n ",[2,0,0]],"message argument is not concrete:\n %s"],Fon=[0,[11,"message argument is not sharable:\n ",[2,0,0]],"message argument is not sharable:\n %s"],Gon=[0,[11,"subtype violation:\n ",[2,0,[11,Ek,[2,0,[12,10,0]]]]],"subtype violation:\n %s\n %s\n"],Uon=[0,[2,0,0],N_],Mon=[0,0],Pon=[0,0],Kon=[0,0],Oon=BK,Ron=[0,Sw,26,2],Qon=[20,Bk],Con=[0,$e,Ux,11],Lon=Gr,Hon=Ov,Von=Gr,Son=[20,rs],zon=[20,mg],Jon=[20,_K],Won=tQ,Zon=[0,$e,vm,11],Xon=vo,Yon=[0,$e,Oy,11],rvn=[0,$e,Uh,4],nvn=[0,[0,20,0]],tvn=[0,$e,225,4],evn=[0,[0,19,0]],uvn=[0,$e,jn,4],avn=[0,[0,18,0]],fvn=[0,$e,pd,11],ivn=[0,[0,27,0]],cvn=[0,$e,e_,12],ovn=[11,0],vvn=[0,$e,Zv,4],Avn=[0,[0,11,0]],svn=[0,$e,204,11],bvn=[0,$e,$s,4],lvn=[0,[0,24,0]],Bvn=[0,$e,by,11],jvn=[11,0],kvn=[0,$e,Zm,4],pvn=[0,[0,31,0]],dvn=[0,$e,331,30],mvn=[0,$e,335,23],_vn=[0,[11,"Import expression found in unit body: ",[2,0,0]],"Import expression found in unit body: %s"],hvn=[0,$e,uT,4],xvn=Q_,yvn=Q_,wvn=[0,0,0],gvn=[0,$e,442,11],qvn=mp,Ivn=z,Dvn=[0,$e,qn,26],Evn=[0,$e,Xk,11],$vn=[0,$e,536,25],Tvn=[0,0,0],Nvn=CB,Fvn=Nj,Gvn=PN,Uvn=PN,Mvn=Nj,Pvn=CB,Kvn=L$,Ovn=[20,Bk],Rvn=[20,Bk],Qvn=PN,Cvn=Nj,Lvn=CB,Hvn=[0,0,0],Vvn=WP,Svn=uE,zvn=[1,0,0],Jvn=$U,Wvn=WP,Zvn=CB,Xvn=WP,Yvn=[20,Xw],rAn=[0,0],nAn=uE,tAn=[1,0,0],eAn=$U,uAn=TU,aAn=Gl,fAn=kt,iAn=EK,cAn=[0,[2,0,[11," force",0]],"%s force"],oAn=_p,vAn=uF,AAn=Qq,sAn=jy,bAn=SE,lAn=Mr,BAn=Rw,jAn=pT,kAn=jD,pAn=bl,dAn=p,mAn=bb,_An=v,hAn=w$,xAn=Tu,yAn=ZM,wAn=pq,gAn=Jr,qAn=bK,IAn=_n,DAn=BA,EAn=TG,$An=QT,TAn=lI,NAn=Ca,FAn=Nx,GAn=Gy,UAn=CB,MAn=[20,Bk],PAn=[20,Xw],KAn=[0,0],OAn=[0,$e,685,9],RAn=[0,$e,693,9],QAn=[0,$e,697,14],CAn=jA,LAn=uE,HAn=[1,0,0],VAn=$U,SAn=CB,zAn=[20,Xw],JAn=[20,Bk],WAn=[0,0],ZAn=[0,0,0,0],XAn=[0,$e,732,18],YAn=Ov,rsn=bF,nsn=[0,[11,wG,[2,0,[11,wM,[2,0,[11,"` expected but not found",0]]]]],"stable variable `%s` of type `%s` expected but not found"],tsn=[20,Bk],esn=[0,[11,"migration ",[2,0,[11,": field `",[2,0,[11,"` expected but not found in state",0]]]]],"migration %s: field `%s` expected but not found in state"],usn=[20,Bk],asn=cF,fsn=j_,isn=vI,csn=Bx,osn=cF,vsn=[0,$e,808,6],Asn=[0,1],ssn=Ov,bsn=j_,lsn=vI,Bsn=je,jsn=[20,Bk],ksn=[20,rv],psn=je,dsn=[20,Bk],msn=Ov,_sn=Em,hsn=vh,xsn=IT,ysn=YN,wsn=Zt,gsn=[0,[11,wG,[2,0,[11,wM,[2,0,[11,Yt,0]]]]],Dd],qsn=[20,Bk],Isn=[0,[11,wG,[2,0,[11,wM,[2,0,[11,Yt,0]]]]],Dd],Dsn=[20,Bk],Esn=[0,$e,sP,4],$sn=[0,$e,1045,30],Tsn=[0,0,0,0],Nsn=[0,0,0,0],Fsn=[0,$e,1094,4],Gsn=[0,$e,1104,4],Usn=[0,$e,1131,26],Msn=[0,$e,1151,11],Psn=[0,Qr,1,0],Ksn=[0,$e,1180,14],Osn=[0,[2,3],0],Rsn=[0,$e,1192,12],Qsn=[2,3],Csn=[0,$e,1202,12],Lsn=Fq,Hsn=[0,$e,1265,29],Vsn=[0,$e,1272,8],Ssn=[0,$e,1274,13],zsn=[0,$e,1342,18],Jsn=[0,$e,1467,13],Wsn=CB,Zsn=CB,Xsn=jA,Ysn=jA,rbn=[0,$e,1389,31],nbn=[0,$e,1357,14],tbn=[0,$e,1405,36],ebn=[0,$e,1416,6],ubn=jA,abn=Bx,fbn=[0,$e,1475,2],ibn=[8,0,0,0,[0,[2,15],0],[0,[2,16],0]],cbn=vP,obn=[2,16],vbn=[0,$e,1494,9],Abn=[20,Bk],sbn=vn,bbn=Ls,lbn=[0,$e,1653,2],Bbn=[0,$e,1664,13],jbn=[0,$e,1673,13],kbn=Vd,pbn=Po,dbn=vn,mbn=Ls,_bn=[0,$e,1630,11],hbn=[0,$e,1604,8],xbn=[0,$e,1621,11],ybn=[0,$e,1609,13],wbn=[0,$e,1581,11],gbn=jA,qbn=Pr,Ibn=[0,$e,1525,41],Dbn=[0,$e,1513,11],Ebn=[0,$e,1523,11],$bn=Vd,Tbn=vn,Nbn=Ls,Fbn=Po,Gbn=[20,_p],Ubn=[20,_p],Mbn=[20,dd],Pbn=[20,_p],Kbn=[11,0],Obn=wk,Rbn=[0,1,0],Qbn=[0,1,0],Cbn=[0,1,0],Lbn=FT,Hbn=PP,Vbn=[0,"ir_passes/tailcall.ml",207,17],Sbn=FU,zbn=FU,Jbn=[0,PG,u$,2],Wbn=Ac,Zbn=ER,Xbn=ej,Ybn=ms,rln=ef,nln=$N,tln=$b,eln=nw,uln=[20,tn],aln=XR,fln=[0,PG,Kk,9],iln=rA,cln=[0,[5,[10,[0,nn,0]]],0],oln=[0,nn,0],vln=[0,[0,nn,1,0],0],Aln=[0,[5,[0,nn,0]],0],sln=[0,nn,0],bln=[0,[0,nn,1,0],0],lln=[0,[0,nn,0],0],Bln=[0,nn,0],jln=[0,[0,nn,1,0],0],kln=[0,[6,[0,nn,0]],0],pln=[0,nn,0],dln=[0,[0,nn,1,0],0],mln=[1,0,2],_ln=[0,"ir_passes/erase_typ_field.ml",ua,21],hln=FU,xln=FU,yln=[0,Ik,332,2],wln=[0,Ik,cT,17],gln=[0,[5,[0,nn,0]],[0,[5,[0,nn,0]],0]],qln=[0,nn,0],Iln=[0,[0,nn,1,0],0],Dln=FU,Eln=[0,[11,"Unbound var: ",[2,0,[12,10,0]]],"Unbound var: %s\n"],$ln=[0,uo,Qo,9],Tln=[0,uo,F_,2],Nln=[0,uo,Kl,16],Fln=[0,uo,um,16],Gln=[0,uo,Fi,4],Uln=[0,uo,Sf,5],Mln=[0,uo,Yw,4],Pln=[0,uo,Sb,4],Kln=[0,uo,pd,19],Oln=[0,uo,vl,14],Rln=[0,uo,Uh,4],Qln=Ov,Cln=[0,uo,_d,4],Lln=Ov,Hln=lm,Vln=Ov,Sln=[0,uo,e,4],zln=[0,uo,Gt,14],Jln=Ov,Wln=Ya,Zln=[0,uo,oA,4],Xln=[0,uo,Y$,70],Yln=[0,uo,hy,4],rBn=[0,uo,429,13],nBn=[0,uo,SK,13],tBn=[0,uo,fM,13],eBn=[0,uo,NB,13],uBn=[0,uo,ya,13],aBn=[0,uo,lr,4],fBn=[0,uo,451,13],iBn=[0,uo,gE,19],cBn=[0,uo,cf,4],oBn=[0,uo,528,30],vBn=Ov,ABn=[0,uo,598,4],sBn=[0,uo,599,4],bBn=[0,uo,622,4],lBn=[0,uo,623,4],BBn=FU,jBn=Lf,kBn=Ya,pBn=Lf,dBn=Ya,mBn=[20,RO],_Bn=[0,uo,77,18],hBn=[0,uo,67,11],xBn=Ov,yBn=Ov,wBn=[0,uo,25,4],gBn=Mu,qBn=da,IBn=[0,fo,by,17],DBn=[1,0,2],EBn=[8,0,0,0,0,0],$Bn=oi,TBn=oi,NBn=zy,FBn=[0,fo,333,15],GBn=[0,fo,PT,15],UBn=[0,fo,vq,13],MBn=Ht,PBn=Ya,KBn=Ov,OBn=[0,fo,hy,15],RBn=Ov,QBn=Ya,CBn=Lf,LBn=[0,fo,hw,15],HBn=Ov,VBn=Ya,SBn=Lf,zBn=[0,fo,439,23],JBn=[0,fo,432,23],WBn=Ov,ZBn=Ya,XBn=Lf,YBn=[0,fo,Tx,23],rjn=[0,fo,Jl,23],njn=[0,fo,bv,40],tjn=[0,fo,NB,21],ejn=[0,fo,383,16],ujn=FU,ajn=Ov,fjn=Fq,ijn=Fq,cjn=Fq,ojn=Ov,vjn=da,Ajn=Mu,sjn=LO,bjn=D$,ljn=D$,Bjn=[0,[0,oi,[8,0,0,0,0,0]],0],jjn=zy,kjn=[0,[0,nn,1,0],0],pjn=EM,djn=[0,xI,1134,6],mjn=EM,_jn=[0,0,0],hjn=au,xjn=[0,[11,"The Wasm data segment size exceeds the supported maxmimum of ",[21,1,[11,"MB.",0]]],"The Wasm data segment size exceeds the supported maxmimum of %nMB."],yjn=Qb,wjn=Qb,gjn=[0,xI,1030,2],qjn=[0,xI,aF,4],Ijn=[0,[0,0,0],0],Djn=[0,[0,0,0],0],Ejn=wA,$jn=Oc,Tjn=wA,Njn=Oc,Fjn=OC(0,0,0),Gjn=[0,xI,856,18],Ujn=[0,[20,[1,0]],0],Mjn=[0,[20,[0,0]],0],Pjn=[0,xI,818,11],Kjn=LE,Ojn=Vb,Rjn=[0,1,0,0],Qjn=[0,[11,"Can't find export for GOT.mem import ",[2,0,0]],"Can't find export for GOT.mem import %s"],Cjn=[0,[11,"Can't find export for GOT.func import ",[2,0,0]],"Can't find export for GOT.func import %s"],Ljn=[0,1,0],Hjn=[0,0,0],Vjn=LE,Sjn=Vb,zjn=[0,[11,vM,[2,0,[11," is not global",0]]],"Export %s is not global"],Jjn=[0,[11,vM,[2,0,[11," is not a function",0]]],"Export %s is not a function"],Wjn=[0,[11,"Type mismatch when linking ",[2,0,[12,46,[2,0,[11,":\nimport type: ",[2,0,[11,"\nexport type: ",[2,0,0]]]]]]]],"Type mismatch when linking %s.%s:\nimport type: %s\nexport type: %s"],Zjn=[0,0,0],Xjn=Qb,Yjn=Qb,rkn=[0,xI,636,39],nkn=[0,xI,614,14],tkn=[0,xI,600,28],ekn=[0,xI,592,28],ukn=[0,xI,584,28],akn=vD,fkn=OC(1,0,0),ikn=ku,ckn=ku,okn=vD,vkn=[0,1,0],Akn=[0,xI,531,4],skn=[0,0,0],bkn=[0,xI,534,4],lkn=[0,xI,536,9],Bkn=[0,xI,SK,40],jkn=[0,1,0],kkn=[0,xI,Cb,9],pkn=[0,0,0],dkn=[0,xI,rK,9],mkn=[0,xI,yr,12],_kn=[0,xI,qU,11],hkn=[0,xI,Ki,13],xkn=[0,xI,CT,12],ykn=[1,0],wkn=[19,[0,1]],gkn=OC(1,0,0),qkn=[19,[1,1]],Ikn=[18,[0,1]],Dkn=[18,[0,0]],Ekn=[18,[1,1]],$kn=[18,[1,0]],Tkn=[18,[2,1]],Nkn=[18,[2,0]],Fkn=[18,[3,1]],Gkn=[18,[3,0]],Ukn=OC(0,0,0),Mkn=[17,[0,0]],Pkn=OC(0,0,0),Kkn=[17,[1,0]],Okn=OC(0,0,0),Rkn=[17,[0,0]],Qkn=[18,[0,1]],Ckn=[19,[0,0]],Lkn=[19,[0,0]],Hkn=[18,[0,0]],Vkn=OC(0,0,0),Skn=OC(0,0,0),zkn=OC(1,0,0),Jkn=OC(1,0,0),Wkn=[0,i_,vl,10],Zkn=[0,i_,Xl,6],Xkn=[0,[11,"Function import not declared: ",[2,0,[12,10,0]]],"Function import not declared: %s\n"],Ykn=[0,i_,nF,4],rpn=[0,[2,0,[11,OT,[2,0,0]]],hP],npn=[0,[2,0,[12,60,[2,0,[12,62,0]]]],cc],tpn=OC(1,0,0),epn=OC(ge,ge,$l),upn=OC(56,0,0),apn=OC(0,0,0),fpn=OC(56,0,0),ipn=Ps,cpn=Ps,opn=Ps,vpn=Ps,Apn=[0,[11,Nj,[4,3,0,0,0]],Rb],spn=Lm,bpn=kI,lpn=[1,6],Bpn=OC(1,0,0),jpn=[20,[1,0]],kpn=OC(3,0,0),ppn=OC(1,0,0),dpn=[0,Fs,11721,4],mpn=OC(1,0,0),_pn=ad,hpn=[21,[0,2]],xpn=[1,5],ypn=_a,wpn=Nj,gpn=da,qpn=Mu,Ipn=Ht,Dpn=_a,Epn=Nj,$pn=da,Tpn=Mu,Npn=Ht,Fpn=[1,6],Gpn=[0,Fs,11554,25],Upn=[0,Fs,11571,9],Mpn=[0,Fs,11583,11],Ppn=Ly,Kpn=[0,Fs,11590,9],Opn=[0,Fs,11611,9],Rpn=_a,Qpn=Nj,Cpn=c,Lpn=[0,[11,eO,[4,3,0,0,[11,In,0]]],sg],Hpn=[0,1,0],Vpn=XN,Spn=[0,1,0],zpn=[0,gB,1],Jpn=cp,Wpn=[1,6],Zpn=[0,1,0],Xpn=[0,gB,1],Ypn=oU,rdn=[1,5],ndn=[1,14],tdn=[1,6],edn=[0,1,0],udn=[0,gB,1],adn=xe,fdn=[1,11],idn=LO,cdn=PD,odn=kI,vdn=[21,[3,2]],Adn=[0,3,0],sdn=[0,1,0],bdn=[0,gB,1],ldn=ff,Bdn=[1,11],jdn=[21,[3,2]],kdn=[1,11],pdn=ov,ddn=kI,mdn=[21,[1,5]],_dn=[1,11],hdn=[21,[2,5]],xdn=[21,[3,4]],ydn=xp,wdn=Uc,gdn=Ps,qdn=Uc,Idn=Ps,Ddn=[1,5],Edn=xp,$dn=VA,Tdn=xq,Ndn=OC(29,0,0),Fdn=Lh,Gdn=kI,Udn=OC(0,0,0),Mdn=OC(6,0,0),Pdn=[21,[3,4]],Kdn=Lh,Odn=kI,Rdn=OC(0,0,0),Qdn=OC(6,0,0),Cdn=$B,Ldn=kI,Hdn=[1,3],Vdn=[1,8],Sdn=[1,3],zdn=[1,6],Jdn=[1,5],Wdn=[1,4],Zdn=[1,5],Xdn=[1,8],Ydn=[1,11],rmn=[1,10],nmn=de,tmn=_O,emn=dK,umn=[1,6],amn=[19,[1,0]],fmn=[1,6],imn=[1,6],cmn=[1,5],omn=[1,5],vmn=[1,4],Amn=[1,4],smn=n_,bmn=yO,lmn=[1,8],Bmn=[1,8],jmn=[19,[1,0]],kmn=[1,11],pmn=[1,11],dmn=[1,10],mmn=[1,10],_mn=[1,9],hmn=[1,9],xmn=[1,3],ymn=[1,3],wmn=lg,gmn=[1,9],qmn=[21,[1,1]],Imn=FI,Dmn=kI,Emn=[1,5],$mn=[21,[0,2]],Tmn=[1,5],Nmn=[0,2],Fmn=[21,[0,2]],Gmn=[1,5],Umn=[0,2],Mmn=[1,6],Pmn=[1,6],Kmn=[1,10],Omn=[1,10],Rmn=[1,9],Qmn=[1,9],Cmn=[1,3],Lmn=[1,3],Hmn=[19,[1,1]],Vmn=[1,6],Smn=[1,6],zmn=[1,5],Jmn=[1,5],Wmn=[1,4],Zmn=[1,4],Xmn=[1,8],Ymn=[1,8],r_n=[19,[3,1]],n_n=[19,[1,1]],t_n=[1,11],e_n=[1,11],u_n=[20,[3,6]],a_n=[19,[3,2]],f_n=zs,i_n=kI,c_n=iv,o_n=kI,v_n=Tr,A_n=kI,s_n=[20,[3,4]],b_n=[20,[3,5]],l_n=fe,B_n=kI,j_n=[19,[3,3]],k_n=$T,p_n=kI,d_n=$D,m_n=kI,__n=[19,[3,4]],h_n=Ai,x_n=kI,y_n=[19,[3,6]],w_n=MK,g_n=kI,q_n=[19,[3,5]],I_n=RO,D_n=[1,6],E_n=[1,6],$_n=_p,T_n=kI,N_n=KT,F_n=kI,G_n=[0,2],U_n=[0,3],M_n=Lh,P_n=kI,K_n=ps,O_n=kI,R_n=[1,6],Q_n=[1,6],C_n=[19,[1,2]],L_n=[1,5],H_n=[1,5],V_n=[19,[1,2]],S_n=[1,4],z_n=[1,4],J_n=[1,5],W_n=[1,6],Z_n=[1,5],X_n=Pr,Y_n=[19,[1,2]],rhn=[1,8],nhn=[1,8],thn=[19,[1,2]],ehn=[1,11],uhn=[1,11],ahn=[19,[1,2]],fhn=[1,10],ihn=[1,10],chn=[19,[1,2]],ohn=[1,9],vhn=[1,9],Ahn=[19,[1,2]],shn=[1,3],bhn=[1,3],lhn=[19,[1,2]],Bhn=[1,6],jhn=[1,6],khn=hG,phn=[1,6],dhn=[1,6],mhn=[1,6],_hn=[1,6],hhn=[1,6],xhn=[1,6],yhn=[1,6],whn=[1,5],ghn=[0,Fs,12295,4],qhn=[1,5],Ihn=[1,5],Dhn=[1,5],Ehn=Go,$hn=[1,5],Thn=[1,5],Nhn=uF,Fhn=kI,Ghn=[1,6],Uhn=hG,Mhn=[1,6],Phn=[1,6],Khn=[1,6],Ohn=dd,Rhn=kI,Qhn=Gk,Chn=kI,Lhn=[1,6],Hhn=[1,6],Vhn=[1,6],Shn=[1,14],zhn=xf,Jhn=kI,Whn=[1,8],Zhn=bG,Xhn=kI,Yhn=$F,rxn=Ya,nxn=OC(8,0,0),txn=OC(0,0,dA),exn=[0,2],uxn=Ya,axn=OC(32,0,0),fxn=OC(40,0,0),ixn=OC(48,0,0),cxn=OC(0,0,dA),oxn=[0,4],vxn=Ya,Axn=OC(0,0,0),sxn=OC(8,0,0),bxn=OC(16,0,0),lxn=OC(24,0,0),Bxn=OC(32,0,0),jxn=OC(40,0,0),kxn=OC(48,0,0),pxn=OC(0,0,dA),dxn=[0,8],mxn=[1,6],_xn=[21,[0,2]],hxn=[1,6],xxn=[1,6],yxn=[21,[0,2]],wxn=[1,6],gxn=[1,6],qxn=[21,[0,2]],Ixn=[1,6],Dxn=[1,6],Exn=[1,6],$xn=[1,6],Txn=[21,[0,2]],Nxn=[1,6],Fxn=[1,6],Gxn=[21,[0,2]],Uxn=[1,6],Mxn=[1,6],Pxn=[21,[0,2]],Kxn=[1,6],Oxn=[1,6],Rxn=[1,6],Qxn=xU,Cxn=[1,6],Lxn=yA,Hxn=kI,Vxn=xp,Sxn=[0,Fs,13113,24],zxn=Lt,Jxn=[0,Fs,13177,25],Wxn=zp,Zxn=da,Xxn=Mu,Yxn=Ht,ryn=[0,[11,Dk,0],Dk],nyn=NP,tyn=[21,[1,1]],eyn=kI,uyn=[21,[0,2]],ayn=[1,14],fyn=[1,14],iyn=kI,cyn=[21,[0,2]],oyn=[1,14],vyn=[2,3],Ayn=[2,4],syn=[2,6],byn=[1,6],lyn=[2,8],Byn=[2,9],jyn=[2,10],kyn=[2,11],pyn=[1,11],dyn=[2,14],myn=[0,0],_yn=iE,hyn=OC(1,0,0),xyn=[0,Fs,13356,13],yyn=ju,wyn=OC(0,0,0),gyn=ST,qyn=Zd,Iyn=Nm,Dyn=kg,Eyn=[0,0],$yn=[0,Fs,13510,13],Tyn=[0,Fs,13531,4],Nyn=[0,Fs,13554,14],Fyn=[0,[11,I$,[2,0,[11,xs,0]]],W$],Gyn=[0,[11,Ej,[2,0,[11,zh,[2,0,[11,wO,0]]]]],tN],Uyn=[0,[11,ww,0],ww],Myn=[0,[11,Ww,0],Ww],Pyn=[0,[11,Py,0],Py],Kyn=[0,[11,pc,[2,0,[11,xs,0]]],nd],Oyn=[0,Fs,13604,25],Ryn=[0,Fs,13668,9],Qyn=[0,Fs,13683,2],Cyn=[0,Fs,13696,19],Lyn=[0,Fs,13703,77],Hyn=[0,Fs,13691,56],Vyn=[0,Fs,13717,13],Syn=[0,Fs,13723,12],zyn=[0,Fs,13734,77],Jyn=[0,[11,fv,0],fv],Wyn=[0,Fs,13739,2],Zyn=[0,Fs,13740,2],Xyn=[0,Fs,13741,2],Yyn=[0,Fs,13742,2],rwn=[0,Fs,13743,2],nwn=[0,[11,ve,0],ve],twn=Ed,ewn=[0,Fs,13761,11],uwn=[0,Fs,13775,13],awn=[0,Fs,13774,15],fwn=qK,iwn=GE,cwn=Ld,own=vi,vwn=AR,Awn=vt,swn=[0,1,0],bwn=RO,lwn=[0,Fs,13867,8],Bwn=OC(0,0,0),jwn=l_,kwn=mO,pwn=Oj,dwn=Ed,mwn=gF,_wn=kI,hwn=au,xwn=au,ywn=Ey,wwn=OC(1,0,0),gwn=[0,[0,0,"64-bit, layout version 1"]],qwn=bs,Iwn=kI,Dwn=[0,Fs,14013,2],Ewn=[0,Fs,14014,2],$wn=Ed,Twn=nm,Nwn=Iq,Fwn=QF,Gwn=[0,Fs,11464,13],Uwn=[0,0,3,2],Mwn=[0,3,5,4],Pwn=[0,1,7,6],Kwn=[0,2,9,8],Own=[21,[1,1]],Rwn=[18,[2,0]],Qwn=xk,Cwn=[0,0],Lwn=xa,Hwn=[0,Fs,11314,23],Vwn=[20,[1,2]],Swn=OC(64,0,0),zwn=OC(1,0,0),Jwn=xa,Wwn=[0,1,0],Zwn=OC(ge,ge,$l),Xwn=[0,1,0],Ywn=OC(0,0,Oh),rgn=[20,[1,3]],ngn=xa,tgn=[0,Fs,11367,23],egn=[20,[1,2]],ugn=OC(64,0,0),agn=[20,[1,7]],fgn=[20,[1,7]],ign=OC(ge,ge,$l),cgn=ln,ogn=[20,[1,1]],vgn=[20,[1,2]],Agn=OC(8,0,0),sgn=hI,bgn=hI,lgn=Li,Bgn=gm,jgn=hI,kgn=[20,[1,0]],pgn=Li,dgn=gm,mgn=[20,[1,2]],_gn=hI,hgn=[20,[1,4]],xgn=[20,[1,6]],ygn=AI,wgn=[20,[1,12]],ggn=gB,qgn=$T,Ign=ln,Dgn=[20,[1,2]],Egn=OC(8,0,0),$gn=hI,Tgn=hI,Ngn=Li,Fgn=gm,Ggn=hI,Ugn=[20,[1,0]],Mgn=Li,Pgn=[20,[1,1]],Kgn=gm,Ogn=[20,[1,2]],Rgn=hI,Qgn=[20,[1,3]],Cgn=[20,[1,5]],Lgn=$T,Hgn=AI,Vgn=ln,Sgn=OC(0,0,0),zgn=[20,[1,11]],Jgn=[20,[3,0]],Wgn=[20,[3,1]],Zgn=[20,[3,2]],Xgn=[20,[3,3]],Ygn=Ka,rqn=kI,nqn=AI,tqn=kI,eqn=[20,[2,0]],uqn=[20,[2,1]],aqn=[20,[2,2]],fqn=[20,[2,3]],iqn=D_,cqn=kI,oqn=Ko,vqn=kI,Aqn=[20,[1,10]],sqn=[20,[1,13]],bqn=[20,[1,14]],lqn=[20,[1,0]],Bqn=[20,[1,1]],jqn=[20,[1,2]],kqn=[20,[1,10]],pqn=[20,[1,0]],dqn=[20,[1,1]],mqn=gm,_qn=Li,hqn=gm,xqn=Li,yqn=[20,[1,5]],wqn=[0,1,0],gqn=[0,[0,gB,1],[0,$T,1]],qqn=AI,Iqn=[20,[1,11]],Dqn=[0,1,0],Eqn=[0,[0,nU,1],[0,LO,1]],$qn=[20,[1,6]],Tqn=[0,1,0],Nqn=[0,[0,gB,1],[0,$T,1]],Fqn=AI,Gqn=[20,[1,12]],Uqn=[20,[1,4]],Mqn=[20,[1,7]],Pqn=[20,[1,8]],Kqn=[20,[1,9]],Oqn=gd,Rqn=oG,Qqn=xa,Cqn=OC(48,0,0),Lqn=OC(48,0,0),Hqn=OC(48,0,0),Vqn=[0,1,0],Sqn=[0,[0,nU,1],[0,LO,1]],zqn=xa,Jqn=OC(48,0,0),Wqn=OC(48,0,0),Zqn=OC(48,0,0),Xqn=[0,1,0],Yqn=[0,[0,nU,1],[0,LO,1]],rIn=[20,[1,9]],nIn=OC(1,0,0),tIn=xa,eIn=OC(32,0,0),uIn=OC(32,0,0),aIn=OC(32,0,0),fIn=[0,1,0],iIn=[0,[0,nU,1],[0,LO,1]],cIn=xa,oIn=OC(32,0,0),vIn=OC(32,0,0),AIn=OC(32,0,0),sIn=[0,1,0],bIn=[0,[0,nU,1],[0,LO,1]],lIn=[20,[1,9]],BIn=OC(1,0,0),jIn=OC(0,yp,$l),kIn=xa,pIn=[0,1,0],dIn=[0,[0,nU,1],[0,LO,1]],mIn=OC(Aw,ge,$l),_In=[20,[1,2]],hIn=OC(64,0,0),xIn=[19,[1,0]],yIn=OC(64,0,0),wIn=OC(1,0,0),gIn=OC(64,0,0),qIn=[20,[1,0]],IIn=[19,[1,0]],DIn=[19,[1,0]],EIn=[20,[1,8]],$In=OC(62,0,0),TIn=OC(62,0,0),NIn=xa,FIn=[0,1,0],GIn=[0,[0,nU,1],[0,LO,1]],UIn=OC(Nd,ge,$l),MIn=[20,[1,2]],PIn=OC(63,0,0),KIn=[19,[1,0]],OIn=[20,[1,9]],RIn=OC(1,0,0),QIn=OC(64,0,0),CIn=OC(1,0,0),LIn=[20,[1,7]],HIn=OC(ge,ge,$l),VIn=OC(65,0,0),SIn=[20,[1,0]],zIn=[19,[1,0]],JIn=[20,[1,9]],WIn=OC(1,0,0),ZIn=[19,[1,0]],XIn=[20,[1,9]],YIn=OC(1,0,0),rDn=[20,[1,8]],nDn=OC(63,0,0),tDn=[20,[1,9]],eDn=OC(1,0,0),uDn=OC(63,0,0),aDn=[20,[1,9]],fDn=OC(1,0,0),iDn=[20,[1,1]],cDn=OC(0,0,Oh),oDn=[19,[3,0]],vDn=[19,[2,0]],ADn=[0,1,0],sDn=[0,gB,1],bDn=SF,lDn=OC(ge,ge,$l),BDn=[20,[1,9]],jDn=Yx,kDn=gd,pDn=_e,dDn=[1,5],mDn=[21,[1,1]],_Dn=VG,hDn=OC(2,0,0),xDn=wt,yDn=[0,1,0],wDn=[0,Vl,0],gDn=jF,qDn=VG,IDn=[1,5],DDn=[21,[1,1]],EDn=FD,$Dn=OC(2,0,0),TDn=wt,NDn=[0,1,0],FDn=[0,_c,0],GDn=jF,UDn=FD,MDn=ye,PDn=OC(2,0,0),KDn=wt,ODn=[0,[0,bm,1],[0,Iy,1]],RDn=ye,QDn=Xn,CDn=OC(2,0,0),LDn=wt,HDn=[0,1,0],VDn=Xn,SDn=kb,zDn=OC(2,0,0),JDn=wt,WDn=[0,[0,oK,1],[0,Au,1]],ZDn=kb,XDn=[0,Fs,10803,11],YDn=[0,Fs,10775,6],rEn=[1,0],nEn=[0,[11,aN,0],aN],tEn=[0,[11,HB,[2,0,0]],va],eEn=At,uEn=At,aEn=_Q,fEn=kI,iEn=[20,[1,8]],cEn=[20,[1,8]],oEn=DQ,vEn=DQ,AEn=Hr,sEn=Hr,bEn=OC(0,0,0),lEn=Hr,BEn=OC(0,0,0),jEn=DQ,kEn=VN,pEn=[0,[0,Qb,1],0],dEn=[0,[0,Qb,1],0],mEn=ZT,_En=kI,hEn=[21,[1,1]],xEn=Zk,yEn=DF,wEn=OC(0,0,0),gEn=OC(0,0,0),qEn=Pb,IEn=kI,DEn=VN,EEn=[0,[0,Qb,1],0],$En=[0,[0,Qb,1],0],TEn=[21,[1,1]],NEn=Zk,FEn=DF,GEn=OC(0,0,0),UEn=OC(0,0,0),MEn=Jw,PEn=Jw,KEn=Fj,OEn=Fj,REn=OC(0,0,0),QEn=Fj,CEn=OC(0,0,0),LEn=Jw,HEn=[0,1,0],VEn=mr,SEn=mr,zEn=[0,1,0],JEn=YU,WEn=YU,ZEn=[0,1],XEn=R,YEn=[0,1],r$n=[0,1],n$n=pw,t$n=Bb,e$n=[0,0],u$n=OC(1,0,0),a$n=OC(1,0,0),f$n=[0,0],i$n=OC(0,0,0),c$n=OC(0,0,0),o$n=[0,Fs,10066,11],v$n=ec,A$n=[21,[1,1]],s$n=Zk,b$n=EQ,l$n=DF,B$n=OC(0,0,0),j$n=OC(0,0,0),k$n=OC(1,0,0),p$n=OC(0,0,0),d$n=be,m$n=sA,_$n=Fo,h$n=[0,[11,fn,[2,0,[11,Af,0]]],Gm],x$n=[0,[11,t,[2,0,0]],TO],y$n=Zg,w$n=OC(0,0,0),g$n=[21,[1,1]],q$n=Zk,I$n=EQ,D$n=Ug,E$n=DF,$$n=OC(1,0,0),T$n=OC(0,0,0),N$n=R,F$n=OC(2,0,0),G$n=[0,[0,Qb,1],0],U$n=Zg,M$n=R,P$n=OC(1,0,0),K$n=R,O$n=OC(0,0,0),R$n=Y,Q$n=Et,C$n=OC(0,0,0),L$n=cM,H$n=[0,[0,Qb,1],0],V$n=[0,[0,Qb,1],0],S$n=rr,z$n=[0,Fs,9827,42],J$n=[0,Fs,9790,13],W$n=[0,Fs,9822,11],Z$n=[0,Fs,9748,6],X$n=[0,1],Y$n=[0,1],rTn=[20,[1,8]],nTn=[0,Fs,9700,13],tTn=[0,Fs,9677,13],eTn=[0,[0,c,1],0],uTn=MD,aTn=kI,fTn=[0,[11,"alloc_",[4,3,0,0,0]],"alloc_%i"],iTn=Tf,cTn=kI,oTn=xj,vTn=kI,ATn=GN,sTn=kI,bTn=hh,lTn=kI,BTn=x,jTn=kI,kTn=on,pTn=kI,dTn=uq,mTn=kI,_Tn=[6,0],hTn=iO,xTn=kI,yTn=wB,wTn=kI,gTn=[0,0,0],qTn=[0,Fs,9525,4],ITn=dy,DTn=kI,ETn=wi,$Tn=kI,TTn=Be,NTn=kI,FTn=Zr,GTn=kI,UTn=uw,MTn=OC(0,0,0),PTn=[0,[11,"unsupported stable memory version (expected ",[2,0,[11,Xt,[2,0,[12,41,0]]]]],"unsupported stable memory version (expected %s or 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stable memory version (expected 1..",[2,0,[12,41,0]]],"higher stable memory version (expected 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UTF-8 in environment variable name for actor alias "',[2,0,[12,34,0]]],'invalid UTF-8 in environment variable name for actor alias "%s"'],cfe=aT,ofe=dF,vfe=zP,Afe=rA,sfe=rA,bfe=mo,lfe=[0,[11,"enhanced migration path '",[2,0,[11,"' is not a directory",0]]],"enhanced migration path '%s' is not a directory"],Bfe=Bc,jfe=rA,kfe=rA,pfe=zP,dfe=X_,mfe=Ke,_fe=rq,hfe=[0,[11,DP,[2,0,[11,'" (for package `',[2,0,[11,"`) does not exist",0]]]]],'file "%s" (for package `%s`) does not exist'],xfe=rq,yfe=[0,[11,'canister alias "',[2,0,[11,h,0]]],'canister alias "%s" not defined'],wfe=Bc,gfe=[0,[11,'package "',[2,0,[11,h,0]]],'package "%s" not defined'],qfe=Bc,Ife=[0,[11,DP,[2,0,[11,'" does not exist',0]]],'file "%s" does not exist'],Dfe=Bc,Efe=[0,[11,uv,0],uv],$fe=Bc,Tfe=[0,[11,'cannot parse principal "',[2,0,[11,'" for actor alias "',[2,0,[11,'": ',[2,0,0]]]]]],'cannot parse principal "%s" for actor alias "%s": %s'],Nfe=aT,Ffe=dF,Gfe=[0,[11,'cannot parse import URL "',[2,0,[11,'": ',[2,0,0]]]],'cannot 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r<50?Zxe(r+1|0,i,t,e,A,18):wV(Zxe,[0,i,t,e,A,18])}if(7!==c)return Zhe();return r<50?nye(r+1|0,i,t,e,0):wV(nye,[0,i,t,e,0])}return Zhe()}function lxe(r,n,t,e,u,a){var f=t[11],i=t[12],c=eS(e,t);if("number"==typeof c){var o=c-4|0;if(3>>0){if(21===o){var v=[0,n,a,u,f,i];return r<50?Bxe(r+1|0,v,t,e):wV(Bxe,[0,v,t,e])}}else if(1>>0){var A=[0,f,i];try{qje(u)}catch(a){var s=qV(a);if(s===Zle)throw LQ([0,s_e,Yhe(A),afr],1);throw LQ(s,0)}var b=a_e(u,Yhe([0,f,i])),l=Yhe([0,f,i]),B=a_e(ffr,f_e),j=Yhe([0,f,i]),k=a_e([0,a_e([1,b[2]],j),B],l);return r<50?zxe(r+1|0,n,t,e,k,a,c):wV(zxe,[0,n,t,e,k,a,c])}}return Zhe()}function Bxe(r,n,t,e){var u=19,a=eS(e,t);if("number"==typeof a)switch(a){case 0:return r<50?sxe(r+1|0,n,t,e,u):wV(sxe,[0,n,t,e,u]);case 1:return r<50?bxe(r+1|0,n,t,e,u):wV(bxe,[0,n,t,e,u]);case 3:return r<50?jxe(r+1|0,n,t,e,u):wV(jxe,[0,n,t,e,u]);case 6:return r<50?_xe(r+1|0,n,t,e,u):wV(_xe,[0,n,t,e,u]);case 9:return r<50?xxe(r+1|0,n,t,e,u):wV(xxe,[0,n,t,e,u]);case 11:return r<50?gxe(r+1|0,n,t,e,u):wV(gxe,[0,n,t,e,u]);case 19:return r<50?Ixe(r+1|0,n,t,e,u):wV(Ixe,[0,n,t,e,u]);case 26:return r<50?Dxe(r+1|0,n,t,e,u):wV(Dxe,[0,n,t,e,u])}else if(2===a[0]){var f=a[1];return r<50?qxe(r+1|0,n,t,e,f,u):wV(qxe,[0,n,t,e,f,u])}return Zhe()}function jxe(r,n,t,e,u){var a=[0,n,u,t[11]],f=eS(e,t);return"number"==typeof f&&17===f?r<50?kxe(r+1|0,a,t,e,20):wV(kxe,[0,a,t,e,20]):Zhe()}function kxe(r,n,t,e,u){var a=[0,n,u,t[11]],f=eS(e,t);if("number"==typeof f){if(7===f){return r<50?yye(r+1|0,a,t,e,0):wV(yye,[0,a,t,e,0])}}else switch(f[0]){case 0:var i=f[1];return r<50?pxe(r+1|0,a,t,e,i,21):wV(pxe,[0,a,t,e,i,21]);case 2:var c=f[1];return r<50?_ye(r+1|0,a,t,e,c,21):wV(_ye,[0,a,t,e,c,21])}return Zhe()}function pxe(r,n,t,e,u,a){var f=t[11],i=t[12],c=eS(e,t);if("number"==typeof c&&25===c){var o=eS(e,t);if("number"==typeof o){if(16===o){var v=[0,n,a,u,f,i];return r<50?dxe(r+1|0,v,t,e,22):wV(dxe,[0,v,t,e,22])}}else if(2===o[0]){var A=t[12],s=o[1],b=t[11],l=eS(e,t),B=a_e(s,Yhe([0,b,A])),j=[0,f,i];try{qje(u)}catch(a){var k=qV(a);if(k===Zle)throw LQ([0,s_e,Yhe(j),vfr],1);throw LQ(k,0)}var p=[0,f,A],d=a_e(u,Yhe([0,f,i])),m=Yhe(p),_=a_e([0,d,a_e([1,B],Yhe(p))],m);return r<50?mye(r+1|0,n,t,e,_,a,l):wV(mye,[0,n,t,e,_,a,l])}return Zhe()}return Zhe()}function dxe(r,n,t,e,u){var a=[0,n,u,t[11]],f=eS(e,t);if("number"==typeof f)switch(f){case 0:return r<50?sxe(r+1|0,a,t,e,23):wV(sxe,[0,a,t,e,23]);case 1:return r<50?bxe(r+1|0,a,t,e,23):wV(bxe,[0,a,t,e,23]);case 3:return r<50?jxe(r+1|0,a,t,e,23):wV(jxe,[0,a,t,e,23]);case 5:return r<50?lye(r+1|0,a,t,e,0):wV(lye,[0,a,t,e,0]);case 6:return r<50?_xe(r+1|0,a,t,e,23):wV(_xe,[0,a,t,e,23]);case 9:return r<50?xxe(r+1|0,a,t,e,23):wV(xxe,[0,a,t,e,23]);case 11:return r<50?gxe(r+1|0,a,t,e,23):wV(gxe,[0,a,t,e,23]);case 19:return r<50?Ixe(r+1|0,a,t,e,23):wV(Ixe,[0,a,t,e,23]);case 26:return r<50?Dxe(r+1|0,a,t,e,23):wV(Dxe,[0,a,t,e,23])}else switch(f[0]){case 0:var i=f[1];return r<50?mxe(r+1|0,a,t,e,i,23):wV(mxe,[0,a,t,e,i,23]);case 2:var c=f[1];return r<50?Aye(r+1|0,a,t,e,c,23):wV(Aye,[0,a,t,e,c,23])}return Zhe()}function mxe(r,n,t,e,u,a){var f=[0,n,a,u,t[11],t[12]],i=eS(e,t);if("number"==typeof i&&25===i){var c=24,o=eS(e,t);if("number"==typeof o)switch(o){case 0:return r<50?sxe(r+1|0,f,t,e,c):wV(sxe,[0,f,t,e,c]);case 1:return r<50?bxe(r+1|0,f,t,e,c):wV(bxe,[0,f,t,e,c]);case 3:return r<50?jxe(r+1|0,f,t,e,c):wV(jxe,[0,f,t,e,c]);case 6:return r<50?_xe(r+1|0,f,t,e,c):wV(_xe,[0,f,t,e,c]);case 9:return r<50?xxe(r+1|0,f,t,e,c):wV(xxe,[0,f,t,e,c]);case 11:return r<50?gxe(r+1|0,f,t,e,c):wV(gxe,[0,f,t,e,c]);case 19:return r<50?Ixe(r+1|0,f,t,e,c):wV(Ixe,[0,f,t,e,c]);case 26:return r<50?Dxe(r+1|0,f,t,e,c):wV(Dxe,[0,f,t,e,c])}else if(2===o[0]){var v=o[1];return r<50?qxe(r+1|0,f,t,e,v,c):wV(qxe,[0,f,t,e,v,c])}return Zhe()}return Zhe()}function _xe(r,n,t,e,u){for(var a=n,f=u;;){var i=[0,a,f,t[11]],c=eS(e,t);if("number"==typeof c&&17===c){var o=[0,i,t[11]],v=eS(e,t);if("number"==typeof v)switch(v){case 0:return r<50?sxe(r+1|0,o,t,e,25):wV(sxe,[0,o,t,e,25]);case 1:return r<50?bxe(r+1|0,o,t,e,25):wV(bxe,[0,o,t,e,25]);case 3:return r<50?jxe(r+1|0,o,t,e,25):wV(jxe,[0,o,t,e,25]);case 6:a=o,f=25;continue;case 7:return r<50?cye(r+1|0,o,t,e,0):wV(cye,[0,o,t,e,0]);case 9:return r<50?xxe(r+1|0,o,t,e,25):wV(xxe,[0,o,t,e,25]);case 11:return r<50?gxe(r+1|0,o,t,e,25):wV(gxe,[0,o,t,e,25]);case 19:return r<50?Ixe(r+1|0,o,t,e,25):wV(Ixe,[0,o,t,e,25]);case 26:return r<50?Dxe(r+1|0,o,t,e,25):wV(Dxe,[0,o,t,e,25]);default:return Zhe()}switch(v[0]){case 0:var A=v[1];return r<50?hxe(r+1|0,o,t,e,A,25):wV(hxe,[0,o,t,e,A,25]);case 1:var s=v[1];return r<50?uye(r+1|0,o,t,e,s,25):wV(uye,[0,o,t,e,s,25]);default:var b=v[1];return r<50?aye(r+1|0,o,t,e,b,25):wV(aye,[0,o,t,e,b,25])}}return Zhe()}}function hxe(r,n,t,e,u,a){var f=[0,n,a,u,t[11],t[12]],i=eS(e,t);return"number"==typeof i&&25===i?r<50?Bxe(r+1|0,f,t,e):wV(Bxe,[0,f,t,e]):Zhe()}function xxe(r,n,t,e,u){var a=t[11],f=t[12],i=eS(e,t),c=a_e(1,Yhe([0,a,f]));return r<50?yxe(r+1|0,n,t,e,f,a,c,u,i):wV(yxe,[0,n,t,e,f,a,c,u,i])}function yxe(r,n,t,e,u,a,f,i,c){switch(i){case 16:var o=n[1],v=o[3],A=o[2],s=o[1],b=a_e(n[2],Yhe([0,n[3],n[4]])),l=a_e([0,b,f],Yhe([0,v,u]));return r<50?Kxe(r+1|0,s,t,e,u,v,l,A,c):wV(Kxe,[0,s,t,e,u,v,l,A,c]);case 17:var B=n[3],j=n[2],k=n[1],p=a_e([4,f],Yhe([0,B,u]));return r<50?yxe(r+1|0,k,t,e,u,B,p,j,c):wV(yxe,[0,k,t,e,u,B,p,j,c]);case 19:var d=n[5],m=n[4],_=n[3],h=n[2],x=n[1],y=[0,m,d];try{qje(_)}catch(a){var w=qV(a);if(w===Zle)throw LQ([0,s_e,Yhe(y),bfr],1);throw LQ(w,0)}var g=a_e(_,Yhe([0,m,d])),q=Yhe([0,m,u]),I=Yhe([0,m,d]),D=a_e([0,a_e([1,g[2]],I),f],q);return r<50?Sxe(r+1|0,x,t,e,D,h,c):wV(Sxe,[0,x,t,e,D,h,c]);case 23:case 35:return r<50?oye(r+1|0,n,t,e,u,a,f,i,c):wV(oye,[0,n,t,e,u,a,f,i,c]);case 24:var E=n[5],$=n[4],T=n[3],N=n[2],F=n[1],G=[0,$,E];try{qje(T)}catch(a){var U=qV(a);if(U===Zle)throw LQ([0,s_e,Yhe(G),cfr],1);throw LQ(U,0)}var 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wxe(r,n,t,e,u,a,f,i,c){if("number"==typeof c){if(5===c){var o=[0,f,0];return r<50?$xe(r+1|0,n,t,e,o,i):wV($xe,[0,n,t,e,o,i])}if(24===c){var v=[0,n,i,f,a,u],A=eS(e,t);if("number"==typeof A)switch(A){case 0:return r<50?sxe(r+1|0,v,t,e,51):wV(sxe,[0,v,t,e,51]);case 1:return r<50?bxe(r+1|0,v,t,e,51):wV(bxe,[0,v,t,e,51]);case 3:return r<50?jxe(r+1|0,v,t,e,51):wV(jxe,[0,v,t,e,51]);case 5:return r<50?Exe(r+1|0,v,t,e,0):wV(Exe,[0,v,t,e,0]);case 6:return r<50?_xe(r+1|0,v,t,e,51):wV(_xe,[0,v,t,e,51]);case 9:return r<50?xxe(r+1|0,v,t,e,51):wV(xxe,[0,v,t,e,51]);case 11:return r<50?gxe(r+1|0,v,t,e,51):wV(gxe,[0,v,t,e,51]);case 19:return r<50?Ixe(r+1|0,v,t,e,51):wV(Ixe,[0,v,t,e,51]);case 26:return r<50?Dxe(r+1|0,v,t,e,51):wV(Dxe,[0,v,t,e,51])}else if(2===A[0]){var s=A[1];return r<50?qxe(r+1|0,v,t,e,s,51):wV(qxe,[0,v,t,e,s,51])}return Zhe()}}return Zhe()}function gxe(r,n,t,e,u){for(var a=n,f=u;;){var i=[0,a,f,t[11]],c=26,o=eS(e,t);if("number"==typeof o)switch(o){case 0:return 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v=eS(e,t),A=[0,[0,0,u]];return r<50?Mxe(r+1|0,n,t,e,A,a,v):wV(Mxe,[0,n,t,e,A,a,v]);case 7:var s=[0,n,a,u],b=eS(e,t);if("number"==typeof b){if(26===b)return r<50?Pxe(r+1|0,s,t,e,49):wV(Pxe,[0,s,t,e,49])}else if(0===b[0]){var l=b[1];return r<50?Gxe(r+1|0,s,t,e,l,49):wV(Gxe,[0,s,t,e,l,49])}return Zhe();case 12:var B=eS(e,t),j=[0,[0,1,u]];return r<50?Mxe(r+1|0,n,t,e,j,a,B):wV(Mxe,[0,n,t,e,j,a,B])}return Zhe();case 1:if("number"==typeof f&&25===f){var k=eS(e,t),p=n[2],d=n[1],m=[1,[0,0,n[3],u]];return r<50?Mxe(r+1|0,d,t,e,m,p,k):wV(Mxe,[0,d,t,e,m,p,k])}return Zhe();case 2:if("number"==typeof f&&25===f){var _=eS(e,t),h=n[2],x=n[1],y=[1,[0,1,n[3],u]];return r<50?Mxe(r+1|0,x,t,e,y,h,_):wV(Mxe,[0,x,t,e,y,h,_])}return Zhe()}return nxe()}function Mxe(r,n,t,e,u,a,f){if("number"==typeof f&&16===f){var i=[0,[0,n,a,u],t[11]],c=eS(e,t);if("number"==typeof c)switch(c){case 0:return r<50?sxe(r+1|0,i,t,e,50):wV(sxe,[0,i,t,e,50]);case 1:return r<50?bxe(r+1|0,i,t,e,50):wV(bxe,[0,i,t,e,50]);case 3:return r<50?jxe(r+1|0,i,t,e,50):wV(jxe,[0,i,t,e,50]);case 5:return r<50?Txe(r+1|0,i,t,e,0):wV(Txe,[0,i,t,e,0]);case 6:return r<50?_xe(r+1|0,i,t,e,50):wV(_xe,[0,i,t,e,50]);case 9:return r<50?xxe(r+1|0,i,t,e,50):wV(xxe,[0,i,t,e,50]);case 11:return r<50?gxe(r+1|0,i,t,e,50):wV(gxe,[0,i,t,e,50]);case 19:return r<50?Ixe(r+1|0,i,t,e,50):wV(Ixe,[0,i,t,e,50]);case 26:return r<50?Dxe(r+1|0,i,t,e,50):wV(Dxe,[0,i,t,e,50])}else if(2===c[0]){var o=c[1];return r<50?qxe(r+1|0,i,t,e,o,50):wV(qxe,[0,i,t,e,o,50])}return Zhe()}return Zhe()}function Pxe(r,n,t,e,u){var a=eS(e,t);if("number"!=typeof a&&0===a[0]){var f=a[1],i=eS(e,t),c=[0,f];return r<50?Uxe(r+1|0,n,t,e,c,u,i):wV(Uxe,[0,n,t,e,c,u,i])}return Zhe()}function Kxe(r,n,t,e,u,a,f,i,c){if(15===i)return r<50?Qxe(r+1|0,n,t,e,u,a,f,i,c):wV(Qxe,[0,n,t,e,u,a,f,i,c]);if(44<=i)switch(i-44|0){case 0:case 9:return r<50?Qxe(r+1|0,n,t,e,u,a,f,i,c):wV(Qxe,[0,n,t,e,u,a,f,i,c]);case 1:var o=[0,n,i,f,a,u];if("number"==typeof c&&4===c){var 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0:return r<50?sxe(r+1|0,n,t,e,u):wV(sxe,[0,n,t,e,u]);case 1:return r<50?bxe(r+1|0,n,t,e,u):wV(bxe,[0,n,t,e,u]);case 3:return r<50?jxe(r+1|0,n,t,e,u):wV(jxe,[0,n,t,e,u]);case 6:return r<50?_xe(r+1|0,n,t,e,u):wV(_xe,[0,n,t,e,u]);case 9:return r<50?xxe(r+1|0,n,t,e,u):wV(xxe,[0,n,t,e,u]);case 11:return r<50?gxe(r+1|0,n,t,e,u):wV(gxe,[0,n,t,e,u]);case 19:return r<50?Ixe(r+1|0,n,t,e,u):wV(Ixe,[0,n,t,e,u]);case 26:return r<50?Dxe(r+1|0,n,t,e,u):wV(Dxe,[0,n,t,e,u])}else if(2===a[0]){var f=a[1];return r<50?qxe(r+1|0,n,t,e,f,u):wV(qxe,[0,n,t,e,f,u])}return Zhe()}function Yxe(r,n,t,e,u){var a=n[1],f=a[2],i=a[1],c=[0,a[3],u];return r<50?rye(r+1|0,i,t,e,c,f):wV(rye,[0,i,t,e,c,f])}function rye(r,n,t,e,u,a){return 18===a?r<50?nye(r+1|0,n,t,e,u):wV(nye,[0,n,t,e,u]):38===a?r<50?Yxe(r+1|0,n,t,e,u):wV(Yxe,[0,n,t,e,u]):nxe()}function nye(r,n,t,e,u){var a=t[12],f=eS(e,t),i=n[1],c=i[3],o=i[2],v=i[1],A=a_e([6,u],Yhe([0,c,a]));return r<50?yxe(r+1|0,v,t,e,a,c,A,o,f):wV(yxe,[0,v,t,e,a,c,A,o,f])}function 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f=a[1]+1|0;break;case 1:f=che(a[1])+1|0;break;default:f=a[1]+1|0}return[0,u,r(f,e)]}(0,u),o=i[3],v=i[2],A=i[1],s=a_e([5,c],Yhe([0,o,a]));return r<50?yxe(r+1|0,A,t,e,a,o,s,v,f):wV(yxe,[0,A,t,e,a,o,s,v,f])}function oye(r,n,t,e,u,a,f,i,c){var o=a_e([0,0,f],Yhe([0,a,u]));return r<50?vye(r+1|0,n,t,e,o,i,c):wV(vye,[0,n,t,e,o,i,c])}function vye(r,n,t,e,u,a,f){if("number"==typeof f){if(5===f){var i=[0,u,0];return r<50?bye(r+1|0,n,t,e,i,a):wV(bye,[0,n,t,e,i,a])}if(24===f){var c=[0,n,a,u],o=eS(e,t);if("number"==typeof o)switch(o){case 0:return r<50?sxe(r+1|0,c,t,e,35):wV(sxe,[0,c,t,e,35]);case 1:return r<50?bxe(r+1|0,c,t,e,35):wV(bxe,[0,c,t,e,35]);case 3:return r<50?jxe(r+1|0,c,t,e,35):wV(jxe,[0,c,t,e,35]);case 5:return r<50?sye(r+1|0,c,t,e,0):wV(sye,[0,c,t,e,0]);case 6:return r<50?_xe(r+1|0,c,t,e,35):wV(_xe,[0,c,t,e,35]);case 9:return r<50?xxe(r+1|0,c,t,e,35):wV(xxe,[0,c,t,e,35]);case 11:return r<50?gxe(r+1|0,c,t,e,35):wV(gxe,[0,c,t,e,35]);case 19:return r<50?Ixe(r+1|0,c,t,e,35):wV(Ixe,[0,c,t,e,35]);case 26:return r<50?Dxe(r+1|0,c,t,e,35):wV(Dxe,[0,c,t,e,35])}else switch(o[0]){case 0:var v=o[1];return r<50?mxe(r+1|0,c,t,e,v,35):wV(mxe,[0,c,t,e,v,35]);case 2:var A=o[1];return r<50?Aye(r+1|0,c,t,e,A,35):wV(Aye,[0,c,t,e,A,35])}return Zhe()}}return Zhe()}function Aye(r,n,t,e,u,a){var f=t[11],i=t[12],c=eS(e,t);r:if("number"==typeof c){var o=c+-24|0;if(1>>0){if(-19!==o)break r}else if(o){var v=[0,n,a,u,f,i],A=34,s=eS(e,t);if("number"==typeof s)switch(s){case 0:return r<50?sxe(r+1|0,v,t,e,A):wV(sxe,[0,v,t,e,A]);case 1:return r<50?bxe(r+1|0,v,t,e,A):wV(bxe,[0,v,t,e,A]);case 3:return r<50?jxe(r+1|0,v,t,e,A):wV(jxe,[0,v,t,e,A]);case 6:return r<50?_xe(r+1|0,v,t,e,A):wV(_xe,[0,v,t,e,A]);case 9:return r<50?xxe(r+1|0,v,t,e,A):wV(xxe,[0,v,t,e,A]);case 11:return r<50?gxe(r+1|0,v,t,e,A):wV(gxe,[0,v,t,e,A]);case 19:return r<50?Ixe(r+1|0,v,t,e,A):wV(Ixe,[0,v,t,e,A]);case 26:return r<50?Dxe(r+1|0,v,t,e,A):wV(Dxe,[0,v,t,e,A])}else if(2===s[0]){var b=s[1];return r<50?qxe(r+1|0,v,t,e,b,A):wV(qxe,[0,v,t,e,b,A])}return Zhe()}var l=rxe(i,f,u);return r<50?yxe(r+1|0,n,t,e,i,f,l,a,c):wV(yxe,[0,n,t,e,i,f,l,a,c])}return Zhe()}function sye(r,n,t,e,u){var a=n[2],f=n[1],i=[0,n[3],u];return r<50?bye(r+1|0,f,t,e,i,a):wV(bye,[0,f,t,e,i,a])}function bye(r,n,t,e,u,a){return 23===a?r<50?lye(r+1|0,n,t,e,u):wV(lye,[0,n,t,e,u]):35===a?r<50?sye(r+1|0,n,t,e,u):wV(sye,[0,n,t,e,u]):nxe()}function lye(r,n,t,e,u){var a=t[12],f=eS(e,t),i=n[3],c=n[2],o=n[1],v=c+-22|0;if(17>=v>>>0)switch(v){case 0:case 5:case 14:return r<50?wye(r+1|0,o,t,e,i,u,c,f):wV(wye,[0,o,t,e,i,u,c,f]);case 6:var A=[0,o,c,u,i];r:{if("number"==typeof f)switch(f){case 8:return r<50?Bye(r+1|0,A,t,e,29):wV(Bye,[0,A,t,e,29]);case 12:return r<50?kye(r+1|0,A,t,e,29):wV(kye,[0,A,t,e,29]);case 23:return r<50?pye(r+1|0,A,t,e,29):wV(pye,[0,A,t,e,29]);case 3:case 4:case 5:case 7:case 22:case 24:break;default:break r}else if(2!==f[0])break r;return r<50?dye(r+1|0,A,t,e,a,0,f):wV(dye,[0,A,t,e,a,0,f])}return Zhe();case 17:if("number"==typeof f&&27<=f){var s=eS(e,t);if("number"==typeof s){if(17===s){var b=[0,o,c,u,i];return r<50?kxe(r+1|0,b,t,e,41):wV(kxe,[0,b,t,e,41])}}else if(2===s[0]){var l=t[12],B=s[1],j=t[11],k=eS(e,t),p=a_e(B,Yhe([0,j,l])),d=Yhe([0,i,l]);return vxe(o,t,e,l,a_e([8,u,a_e([1,p],p[1])],d),c,k)}return Zhe()}return Zhe()}return nxe()}function Bye(r,n,t,e,u){var a=t[12],f=t[11],i=eS(e,t),c=a_e(1,Yhe([0,f,a]));return r<50?jye(r+1|0,n,t,e,a,c,u,i):wV(jye,[0,n,t,e,a,c,u,i])}function jye(r,n,t,e,u,a,f,i){var c=[0,n,f,a];r:{if("number"==typeof i)switch(i){case 8:return r<50?Bye(r+1|0,c,t,e,30):wV(Bye,[0,c,t,e,30]);case 12:return r<50?kye(r+1|0,c,t,e,30):wV(kye,[0,c,t,e,30]);case 23:return r<50?pye(r+1|0,c,t,e,30):wV(pye,[0,c,t,e,30]);case 3:case 4:case 5:case 7:case 22:case 24:break;default:break r}else if(2!==i[0])break r;for(var o=c,v=0;;){var A=o[2],s=o[1],b=[0,o[3],v];if(29===A)return 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r<50?mye(r+1|0,g,t,e,I,w,f):wV(mye,[0,g,t,e,I,w,f])}function mye(r,n,t,e,u,a,f){if("number"==typeof f){if(4===f){var i=[0,[0,n,a,u],t[12]],c=eS(e,t);if("number"==typeof c){if(7===c){return r<50?hye(r+1|0,i,t,e,0):wV(hye,[0,i,t,e,0])}}else switch(c[0]){case 0:var o=c[1];return r<50?pxe(r+1|0,i,t,e,o,37):wV(pxe,[0,i,t,e,o,37]);case 2:var v=c[1];return r<50?_ye(r+1|0,i,t,e,v,37):wV(_ye,[0,i,t,e,v,37])}return Zhe()}if(7===f){var A=[0,u,0];return r<50?xye(r+1|0,n,t,e,A,a):wV(xye,[0,n,t,e,A,a])}}return Zhe()}function _ye(r,n,t,e,u,a){var f=t[11],i=t[12],c=eS(e,t);if("number"==typeof c&&25===c){var o=eS(e,t);if("number"==typeof o){if(16===o){var v=[0,n,a,u,f,i];return r<50?dxe(r+1|0,v,t,e,36):wV(dxe,[0,v,t,e,36])}}else if(2===o[0]){var A=t[12],s=o[1],b=t[11],l=eS(e,t),B=a_e(s,Yhe([0,b,A])),j=[0,f,A],k=a_e(u,Yhe([0,f,i])),p=Yhe(j),d=a_e([0,k,a_e([1,B],Yhe(j))],p);return r<50?mye(r+1|0,n,t,e,d,a,l):wV(mye,[0,n,t,e,d,a,l])}return Zhe()}return Zhe()}function hye(r,n,t,e,u){var a=n[1],f=a[2],i=a[1],c=[0,a[3],u];return r<50?xye(r+1|0,i,t,e,c,f):wV(xye,[0,i,t,e,c,f])}function xye(r,n,t,e,u,a){return 21===a?r<50?yye(r+1|0,n,t,e,u):wV(yye,[0,n,t,e,u]):37===a?r<50?hye(r+1|0,n,t,e,u):wV(hye,[0,n,t,e,u]):nxe()}function yye(r,n,t,e,u){var a=t[12],f=eS(e,t),i=n[3],c=n[2],o=n[1];if(39<=c){if(42>c)switch(c-39|0){case 0:var v=[0,o,c,u,i,a];if("number"==typeof f){if(4===f)return oxe(v,t,e,42);if(22===f)return ixe(v,t,a,f)}return Zhe();case 1:break;default:var A=o[3],s=o[2],b=o[1],l=Yhe([0,o[4],a]);return vxe(b,t,e,a,a_e([8,A,a_e([7,u],Yhe([0,i,a]))],l),s,f)}}else if(20===c){var B=o[3],j=o[2],k=o[1],p=a_e([7,u],Yhe([0,B,a]));return r<50?yxe(r+1|0,k,t,e,a,B,p,j,f):wV(yxe,[0,k,t,e,a,B,p,j,f])}return nxe()}function wye(r,n,t,e,u,a,f,i){var c=[0,n,f,a,u];if("number"==typeof i&&27<=i){var o=eS(e,t);return"number"==typeof o&&16===o?r<50?dxe(r+1|0,c,t,e,28):wV(dxe,[0,c,t,e,28]):Zhe()}return Zhe()}function gye(r,n,t,e,u,a,f,i,c){var o=[0,a,u];function v(r){var n=Yhe(o);return 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f=e[1];if(QL(f,GEe[2]))return nse(n,eS(GEe[29],f));break;case 3:var i=e[1];if(QL(i,UEe[2]))return nse(n,eS(UEe[29],i));break;case 4:var c=e[1];if(QL(c,MEe[2]))return nse(n,eS(MEe[29],c));break;case 5:var o=e[1];if(QL(o,PEe[2]))return nse(n,eS(PEe[29],o));break;case 6:return nse(n,eS($Ee[29],e[1]));case 7:return nse(n,eS(TEe[29],e[1]));case 8:return nse(n,eS(NEe[29],e[1]));case 9:return nse(n,eS(FEe[29],e[1]));case 10:return nse(n,QEe(e[1]));case 11:return nse(n,KEe(e[1]));case 12:return nse(n,Eje(39,[0,e[1],0],39));case 13:return nse(n,Eje(34,qje(e[1]),34));case 14:var v=e[1];return"number"!=typeof u&&3===u[0]&&1===u[1]?nse(n,Eje(96,qje(ZDe(v)),96)):nse(n,Mo+w$e(v)+Mo);case 15:var A=e[1];if("number"==typeof u||7!==u[0])s=D0(function(r){return[0,1,r]},A);else var s=e1(u[1],A);var b=1===d0(A)?bbr:lbr,l=function(n,t){return cTe(r,n,t)},B=[0,aTe];return aS(Use(n)(Bbr),function(r,n){return Ese(B,l,r,n)},s,b);case 18:var j=e[1];if("number"==typeof u||5!==u[0])k=1;else var k=u[1];var p=function(n,t){return cTe(r,n,t)},d=[0,aTe],m=D0(function(r){return[0,k,r]},V1(j)),_=function(r,n){return Ese(d,p,r,n)};if("number"==typeof k||10!==k[0])h=kbr;else var h=jbr;return fS(Use(n)(pbr),nse,h,_,m);case 19:var x=e[1];if(0===r)return nse(n,"{...}");if("number"==typeof u||3!==u[0])w=function(r){return cbr},g=dbr;else var y=u[2],w=function(r){return Ege(r,y)},g=fIe(u[1]);var q=y$e[20].call(null,x),I=function(n,t){var e=t[1],u=[0,t[2],t[3]];return aS(Use(n)(hbr),e,function(n,t){return cTe(r,n,t)},u)},D=[0,fTe],E=X0(function(r){var n=r[1],t=r[2],e=w(n);return e?[0,[0,n,e[1],t]]:0})(q);return fS(Use(n)(mbr),nse,g,function(r,n){return Ese(D,I,r,n)},E);case 20:return nse(n,"");case 22:return nse(n,"")}return uS(Use(n)(_br),function(n,t){return cTe(r,n,t)},[0,u,e])}function cTe(r,n,t){for(var e=t;;){var u=e[2],a=Swe(e[1]);if("number"==typeof a&&!a)return nse(n,xbr);if("number"!=typeof u)switch(u[0]){case 1:return nse(n,eS(gEe[29],u[1]));case 2:var f=u[1],i=eS(GEe[29],f);return nse(n,uTe(uS(GEe[15],f,GEe[2]))+i);case 3:var c=u[1],o=eS(UEe[29],c);return nse(n,uTe(uS(UEe[15],c,UEe[2]))+o);case 4:var v=u[1],A=eS(MEe[29],v);return nse(n,uTe(uS(MEe[15],v,MEe[2]))+A);case 5:var s=u[1],b=eS(PEe[29],s);return nse(n,uTe(uS(PEe[15],s,PEe[2]))+b);case 16:var l=u[1];if("number"==typeof a||6!==a[0])B=1;else var B=a[1];return uS(Use(n)(ybr),function(n,t){return iTe(r,n,t)},[0,B,l]);case 17:var j=u[1],k=u[2];r:if("number"!=typeof k&&15===k[0]){if(k[1])break r;return eS(Use(n)(wbr),j)}var p=u[2];if("number"==typeof a||4!==a[0])d=1;else var d=Tge(j,a[1]);if("number"!=typeof p&&15===p[0]){var m=[0,d,[15,p[1]]];return aS(Use(n)(gbr),j,function(n,t){return cTe(r,n,t)},m)}return aS(Use(n)(qbr),j,function(n,t){return cTe(r,n,t)},[0,d,p]);case 21:var _=u[1],h=_[1];if(_[2]){var x=_[2];if("number"==typeof a||9!==a[0])y=1;else var y=a[3];var w=d0(x);return aS(Use(n)(Ibr),w,function(n,t){return oTe(r,n,t)},[0,y,h])}if("number"==typeof a||9!==a[0])g=1;else var g=a[3];return uS(Use(n)(Dbr),function(n,t){return oTe(r,n,t)},[0,g,h]);case 23:var q=u[1];if("number"==typeof a||10!==a[0])I=1;else var I=a[1];e=[0,I,q[1]];continue;case 25:var D=u[1];if("number"==typeof a||12!==a[0])E=1;else var E=a[1];var $=IAe(D,0),T=$?[16,$[1]]:0;return uS(Use(n)(Ebr),function(n,t){return iTe(r,n,t)},[0,[6,E],T])}return iTe(r,n,[0,a,u])}}function oTe(r,n,t){var e=t[1],u=t[2][1];if(!u)return nse(n,Tbr);var a=u[1];if(0===a[0])return iTe(r,n,[0,e,a[1]]);var f=[0,e,a[1]];return uS(Use(n)($br),function(n,t){return iTe(r,n,t)},f)}function vTe(r,n,t){return sje(function(n){return function(t){return cTe(r,n,t)}},[0,n,t])}function ATe(r){var n=[0,Qge[1]];return function r(t){for(var e=t;;){var u=Qge[3].call(null,e,n[1]);r:{if(!u){n[1]=Qge[4].call(null,e,n[1]);var a=Swe(e);if("number"==typeof a){if(1===a)return 1}else switch(a[0]){case 2:switch(a[1]){case 17:case 19:break;case 12:case 13:default:return 1;case 3:case 4:case 5:case 6:case 8:case 9:case 10:case 11:var f=1;break r}break;case 3:if(!a[1])return R0(function(n){return r(Bge(n[2]))},a[2]);break;case 4:return R0(function(n){return r(n[2])},a[1]);case 5:e=Bge(a[1]);continue;case 7:return R0(r,a[1]);case 6:case 12:e=a[1];continue}return 0}f=u}return f}}(r)}function sTe(r){var n=43===sV(r,0)?1:0;if(n)var t=n;else{var e=45===sV(r,0)?1:0;if(e)t=e;else t=(63===sV(r,0)?1:0)||(35===sV(r,0)?1:0)}return t?$b+r+$N:r}function bTe(r,n){return(r?Blr:jlr)+n}function lTe(r,n){var t=Swe(r);if("number"!=typeof t)switch(t[0]){case 2:switch(t[1]){case 0:if("number"==typeof n)return Sbr;break;case 1:if("number"!=typeof n&&0===n[0])return n[1]?zbr:Jbr;break;case 2:if("number"!=typeof n&&1===n[0])return eS(gEe[28],n[1]);break;case 3:if("number"!=typeof n&&6===n[0])return eS($Ee[28],n[1]);break;case 4:if("number"!=typeof n&&7===n[0])return eS(TEe[28],n[1]);break;case 5:if("number"!=typeof n&&8===n[0])return eS(NEe[28],n[1]);break;case 6:if("number"!=typeof n&&9===n[0])return eS(FEe[28],n[1]);break;case 7:if("number"!=typeof n&&1===n[0]){var e=n[1],u=eS(gEe[28],e);return bTe(uS(gEe[15],e,gEe[2]),u)}break;case 8:if("number"!=typeof n&&2===n[0]){var a=n[1],f=eS(GEe[28],a);return bTe(uS(GEe[15],a,GEe[2]),f)}break;case 9:if("number"!=typeof n&&3===n[0]){var i=n[1],c=eS(UEe[28],i);return bTe(uS(UEe[15],i,UEe[2]),c)}break;case 10:if("number"!=typeof n&&4===n[0]){var o=n[1],v=eS(MEe[28],o);return bTe(uS(MEe[15],o,MEe[2]),v)}break;case 11:if("number"!=typeof n&&5===n[0]){var A=n[1],s=eS(PEe[28],A);return bTe(uS(PEe[15],A,PEe[2]),s)}break;case 12:if("number"!=typeof n&&10===n[0])return LEe(n[1]);break;case 13:if("number"!=typeof n&&11===n[0])return OEe(n[1]);break;case 14:if("number"!=typeof n&&12===n[0])return dh+Dje([0,n[1],0])+dh;break;case 15:if("number"!=typeof n&&13===n[0])return Mo+n[1]+Mo;break;case 16:if("number"!=typeof n&&14===n[0])return Mo+w$e(n[1])+Mo;break;case 18:if("number"!=typeof n&&14===n[0])return ZDe(n[1])}break;case 3:if("number"!=typeof n&&19===n[0]){var b=n[1],l=g1(Wbr,D0(function(r){var n=y$e[28].call(null,r[1],b),t=r[2];if("number"==typeof t||10!==t[0])u=n,a=t;else var e=t[1],u=Y$e(n)[1],a=e;var f=lTe(a,u),i=r[1];return uS(I6(llr),i,f)},t[2]));return eS(I6(Zbr),l)}break;case 4:if("number"!=typeof n&&17===n[0]){var B=n[2],j=n[1],k=J0(function(r){return j===r[1]?1:0},t[1]);if(!k)throw LQ([0,mS,nlr],1);var p=k[1],d=p[2];if("number"!=typeof d&&7===d[0]){if(!d[1])return eS(I6(Ybr),j);var m=lTe(d,B);return uS(I6(Xbr),j,m)}var _=lTe(p[2],B);return uS(I6(rlr),j,_)}break;case 5:var h=t[1];if("number"!=typeof h&&10===h[0]){if("number"!=typeof n&&18===n[0]){var x=n[1],y=h[1];if(QL(x,[0]))return"[var]";var w=g1(tlr,D0(function(r){return lTe(y,Y$e(r)[1])},V1(x)));return eS(I6(elr),w)}break}if("number"!=typeof n&&18===n[0]){var g=g1(ulr,D0(function(r){return lTe(h,r)},V1(n[1])));return eS(I6(alr),g)}break;case 6:var q=t[1];if("number"==typeof n)return flr;if(16===n[0])return NN+sTe(lTe(q,n[1]));break;case 7:if("number"!=typeof n&&15===n[0]){var I=n[1],D=t[1],E=1===d0(I)?ilr:clr,$=g1(olr,M0(lTe,D,I));return uS(I6(vlr),$,E)}break;case 12:if("number"!=typeof n&&25===n[0]){var T=t[1],N=IAe(n[1],0);if(!N)return"(weak _)";var F=sTe(lTe(T,N[1]));return eS(I6(Alr),F)}}throw fS(Use(Ise)(slr),function(r,n){return cTe(2,r,n)},[0,t,n],jIe,t),LQ([0,mS,blr],1)}function BTe(r){switch(r){case 2:return function(r){var n=$$e(r);return eS(DEe[25],n)};case 3:return function(r){var n=U$e(r);return eS($Ee[25],n)};case 4:return function(r){var n=M$e(r);return eS(TEe[25],n)};case 5:return function(r){var n=P$e(r);return eS(NEe[25],n)};case 6:return function(r){var n=K$e(r);return eS(FEe[25],n)};case 7:return function(r){var n=$$e(r);return eS(gEe[25],n)};case 8:return function(r){var n=T$e(r);return eS(GEe[25],n)};case 9:return function(r){var n=N$e(r);return eS(UEe[25],n)};case 10:return function(r){var n=F$e(r);return eS(MEe[25],n)};case 11:return function(r){var n=G$e(r);return eS(PEe[25],n)};case 14:return function(r){return NDe(Q$e(r))};default:throw LQ([0,lS,"Value.as_big_int: "+pIe([2,r])],1)}}function jTe(r){throw LQ([0,lS,"operator called for None"],1)}function kTe(r,n,t,e,u){var a=n[4],f=n[3],i=n[2],c=n[1];switch(u){case 7:return function(n){return[1,eS(r,$$e(n))]};case 8:return function(r){return[2,eS(c,T$e(r))]};case 9:return function(r){return[3,eS(i,N$e(r))]};case 10:return function(r){return[4,eS(f,F$e(r))]};case 11:return function(r){return[5,eS(a,G$e(r))]};case 12:return function(r){return[10,eS(t,O$e(r))]};case 13:return function(r){return[11,eS(e,R$e(r))]};default:throw LQ([0,lS,lBr],1)}}function pTe(r,n){if("number"==typeof n){if(1===n)return jTe}else if(2===n[0]){var t=n[1];switch(r){case 0:return kTe(function(r){return r},[0,function(r){return r},function(r){return r},function(r){return r},function(r){return r}],function(r){return r},function(r){return r},t);case 1:return kTe(gEe[5],[0,GEe[5],UEe[5],MEe[5],PEe[5]],v$e,JEe,t);default:var e=PEe[30],u=MEe[30],a=UEe[30],f=GEe[30],i=FEe[30],c=NEe[30],o=TEe[30],v=$Ee[30];switch(t){case 3:return function(r){return[6,v(U$e(r))]};case 4:return function(r){return[7,o(M$e(r))]};case 5:return function(r){return[8,c(P$e(r))]};case 6:return function(r){return[9,i(K$e(r))]};case 8:return function(r){return[2,f(T$e(r))]};case 9:return function(r){return[3,a(N$e(r))]};case 10:return function(r){return[4,u(F$e(r))]};case 11:return function(r){return[5,e(G$e(r))]};default:throw LQ([0,lS,BBr],1)}}}throw LQ([0,lS,bBr],1)}function dTe(r,n){var t=r[8],e=r[7],u=r[6],a=r[5],f=r[4],i=r[3],c=r[2],o=r[1];switch(n){case 3:return function(r,n){var t=U$e(n);return[6,uS(o,U$e(r),t)]};case 4:return function(r,n){var t=M$e(n);return[7,uS(c,M$e(r),t)]};case 5:return function(r,n){var t=P$e(n);return[8,uS(i,P$e(r),t)]};case 6:return function(r,n){var t=K$e(n);return[9,uS(f,K$e(r),t)]};case 8:return function(r,n){var t=T$e(n);return[2,uS(a,T$e(r),t)]};case 9:return function(r,n){var t=N$e(n);return[3,uS(u,N$e(r),t)]};case 10:return function(r,n){var t=F$e(n);return[4,uS(e,F$e(r),t)]};case 11:return function(r,n){var e=G$e(n);return[5,uS(t,G$e(r),e)]};default:throw LQ([0,lS,ABr],1)}}function mTe(r,n,t,e,u,a){switch(a){case 2:return function(n,t){var e=$$e(t);return[1,uS(r,$$e(n),e)]};case 7:return function(r,t){var e=$$e(t);return[1,uS(n,$$e(r),e)]};case 12:return function(r,n){var t=O$e(n);return[10,uS(e,O$e(r),t)]};case 13:return function(r,n){var t=R$e(n);return[11,uS(u,R$e(r),t)]};default:return dTe(t,a)}}function _Te(r,n){if("number"==typeof n){if(1===n)return jTe}else if(2===n[0]){var t=n[1];switch(r){case 0:return mTe(DEe[6],gEe[6],[0,$Ee[6],TEe[6],NEe[6],FEe[6],GEe[6],UEe[6],MEe[6],PEe[6]],h$e,YEe,t);case 1:return mTe(DEe[7],gEe[7],[0,$Ee[7],TEe[7],NEe[7],FEe[7],GEe[7],UEe[7],MEe[7],PEe[7]],_$e,XEe,t);case 2:return mTe(DEe[8],gEe[8],[0,$Ee[8],TEe[8],NEe[8],FEe[8],GEe[8],UEe[8],MEe[8],PEe[8]],m$e,ZEe,t);case 3:return mTe(DEe[9],gEe[9],[0,$Ee[9],TEe[9],NEe[9],FEe[9],GEe[9],UEe[9],MEe[9],PEe[9]],d$e,WEe,t);case 4:return mTe(DEe[10],gEe[10],[0,$Ee[10],TEe[10],NEe[10],FEe[10],GEe[10],UEe[10],MEe[10],PEe[10]],e$e,zEe,t);case 5:return mTe(DEe[11],gEe[11],[0,$Ee[11],TEe[11],NEe[11],FEe[11],GEe[11],UEe[11],MEe[11],PEe[11]],t$e,SEe,t);case 6:return dTe([0,$Ee[34],TEe[34],NEe[34],FEe[34],GEe[34],UEe[34],MEe[34],PEe[34]],t);case 7:return dTe([0,$Ee[35],TEe[35],NEe[35],FEe[35],GEe[35],UEe[35],MEe[35],PEe[35]],t);case 8:return dTe([0,$Ee[36],TEe[36],NEe[36],FEe[36],GEe[36],UEe[36],MEe[36],PEe[36]],t);case 9:return dTe([0,$Ee[37],TEe[37],NEe[37],FEe[37],GEe[37],UEe[37],MEe[37],PEe[37]],t);case 10:return dTe([0,$Ee[38],TEe[38],NEe[38],FEe[38],GEe[38],UEe[38],MEe[38],PEe[38]],t);case 11:return dTe([0,$Ee[39],TEe[39],NEe[39],FEe[39],GEe[39],UEe[39],MEe[39],PEe[39]],t);case 12:return dTe([0,$Ee[40],TEe[40],NEe[40],FEe[40],GEe[40],UEe[40],MEe[40],PEe[40]],t);case 13:return dTe([0,$Ee[42],TEe[42],NEe[42],FEe[42],GEe[42],UEe[42],MEe[42],PEe[42]],t);case 14:return dTe([0,$Ee[43],TEe[43],NEe[43],FEe[43],GEe[43],UEe[43],MEe[43],PEe[43]],t);case 15:return dTe([0,$Ee[44],TEe[44],NEe[44],FEe[44],GEe[44],UEe[44],MEe[44],PEe[44]],t);case 16:return dTe([0,$Ee[45],TEe[45],NEe[45],FEe[45],GEe[45],UEe[45],MEe[45],PEe[45]],t);default:if(15===t)return function(r,n){var t=C$e(n);return[13,C$e(r)+t]};throw LQ([0,lS,sBr],1)}}throw LQ([0,lS,vBr],1)}function hTe(r,n,t,e,u,a,f,i){if(14<=i)switch(i-14|0){case 0:return function(r,n){var t=Q$e(n);return[0,uS(u,Q$e(r),t)]};case 1:return function(r,n){var t=C$e(n);return[0,uS(a,C$e(r),t)]};case 2:case 4:return function(r,n){var t=L$e(n);return[0,uS(a,L$e(r),t)]}}var c=t[8],o=t[7],v=t[6],A=t[5],s=t[4],b=t[3],l=t[2],B=t[1];switch(i){case 2:return function(n,t){var e=$$e(t);return[0,uS(r,$$e(n),e)]};case 3:return function(r,n){var t=U$e(n);return[0,uS(B,U$e(r),t)]};case 4:return function(r,n){var t=M$e(n);return[0,uS(l,M$e(r),t)]};case 5:return function(r,n){var t=P$e(n);return[0,uS(b,P$e(r),t)]};case 6:return function(r,n){var t=K$e(n);return[0,uS(s,K$e(r),t)]};case 7:return function(r,t){var e=$$e(t);return[0,uS(n,$$e(r),e)]};case 8:return function(r,n){var t=T$e(n);return[0,uS(A,T$e(r),t)]};case 9:return function(r,n){var t=N$e(n);return[0,uS(v,N$e(r),t)]};case 10:return function(r,n){var t=F$e(n);return[0,uS(o,F$e(r),t)]};case 11:return function(r,n){var t=G$e(n);return[0,uS(c,G$e(r),t)]};case 12:return function(r,n){var t=O$e(n);return[0,uS(e,O$e(r),t)]};case 13:return function(r,n){var t=eS(VEe,eS(REe,R$e(n)));return[0,uS(e,eS(VEe,eS(REe,R$e(r))),t)]};default:throw LQ([0,lS,oBr],1)}}function xTe(r,n,t,e,u,a,f,i,c,o){return 1===o?function(r,n){var t=E$e(n);return[0,uS(c,E$e(r),t)]}:o?hTe(r,n,t,e,u,a,0,o):function(r,n){var t=D$e(n);return[0,uS(i,D$e(r),t)]}}function yTe(r,n){return r===n?1:0}function wTe(r,n){return r===n?1:0}var gTe=AV;function qTe(r,n){return r===n?1:0}var ITe=eTe(),DTe=[0,$Ee[12],TEe[12],NEe[12],FEe[12],GEe[12],UEe[12],MEe[12],PEe[12]],ETe=gEe[12],$Te=DEe[12];function TTe(r){return function r(n){for(var t=n;;){if("number"==typeof t){if(0===t)return function(r,n){return eBr}}else switch(t[0]){case 1:var e=t[2],u=Sye(t[1]);if(0!==u[0])throw LQ([0,mS,uBr],1);t=Lwe(e,u[2]);continue;case 2:var a=t[1];if(17!==a&&19>a)return xTe($Te,ETe,DTe,CEe,qTe,gTe,0,wTe,yTe,a);throw LQ([0,mS,cBr],1);case 3:var f=t[1],i=t[2];if(1===f)return function(r,n){return"number"!=typeof r&&14===r[0]&&"number"!=typeof n&&14===n[0]?[0,r[1]===n[1]?1:0]:[0,r===n?1:0]};if(f)throw LQ([0,mS,aBr],1);return function(n,t){var e=Z$e(n),u=Z$e(t);return[0,R0(function(n){var t=y$e[28].call(null,n[1],u),a=y$e[28].call(null,n[1],e);return E$e(r(n[2])(a,t))},i)]};case 4:var c=t[1];return function(n,t){var e=S$e(n),u=e[1],a=e[2],f=S$e(t),i=f[2];return u!==f[1]?tBr:r(z0(function(r){return r[1]===u?1:0},c)[2])(a,i)};case 5:var o=t[1];return function(n,t){var e=r(o),u=V$e(n),a=V$e(t),f=u.length-1==a.length-1?1:0;if(f){if(u.length-1!=a.length-1)var i=lY("for_all2");else for(var c=0;;){var v=c===u.length-1?1:0;if(v)var A=v;else{var s=GC(a,c)[1+c],b=E$e(e(GC(u,c)[1+c],s));if(b){c=c+1|0;continue}A=b}i=A;break}var l=i}else l=f;return[0,l]};case 6:var v=t[1];return function(n,t){r:{if("number"==typeof n){if("number"==typeof t)return Ylr;if(16!==t[0])break r}else{if(16!==n[0])break r;var e=n[1];if("number"!=typeof t){if(16!==t[0])break r;var u=t[1];return r(v)(e,u)}}return nBr}throw LQ([0,mS,rBr],1)};case 7:var A=t[1];return function(n,t){for(var e=z$e(n),u=A,a=e,f=z$e(t);;){r:{if(u){if(a&&f){var i=f[2],c=f[1],o=a[2],v=a[1],s=u[2],b=E$e(r(u[1])(v,c));if(b){u=s,a=o,f=i;continue}var l=b;break r}}else if(!a&&!f){l=1;break r}throw LQ([0,mS,Xlr],1)}return[0,l]}};case 8:if(0!==t[1])return function(r,n){r:if("number"!=typeof r){n:switch(r[0]){case 15:var t=r[1];if(!t)break r;var e=t[1];if("number"!=typeof e&&14===e[0]){var u=t[2];if(!u)break r;var a=u[1];if("number"!=typeof a&&13===a[0]){if(u[2])break r;if("number"!=typeof n)switch(n[0]){case 15:var f=n[1];if(!f)break r;var i=f[1];if("number"!=typeof i&&14===i[0]){var c=f[2];if(!c)break r;var o=c[1];if("number"!=typeof o&&13===o[0]){if(c[2])break r;return[0,QL(r,n)]}break r}break r;case 20:break n}break r}break r}break r;case 20:if("number"==typeof n)break r;switch(n[0]){case 15:var v=n[1];if(!v)break r;var A=v[1];if("number"!=typeof A&&14===A[0]){var s=v[2];if(!s)break r;var b=s[1];if("number"!=typeof b&&13===b[0]){if(s[2])break r;break}break r}break r;case 20:return[0,r===n?1:0];default:break r}break;default:break r}throw LQ([0,mS,Zlr],1)}return lY("illegal shared function")};throw LQ([0,mS,fBr],1);case 11:t=t[2];continue}throw LQ([0,mS,iBr],1)}}(r)}function NTe(r,n){if("number"==typeof n){if(1===n)return jTe}else if(2===n[0]){var t=n[1];switch(r){case 0:return xTe($Te,ETe,DTe,CEe,qTe,gTe,0,wTe,yTe,t);case 1:return xTe(DEe[13],gEe[13],[0,$Ee[13],TEe[13],NEe[13],FEe[13],GEe[13],UEe[13],MEe[13],PEe[13]],c$e,function(r,n){return r!==n?1:0},kV,0,function(r,n){return r!==n?1:0},function(r,n){return r!==n?1:0},t);case 2:return hTe(DEe[14],gEe[14],[0,$Ee[14],TEe[14],NEe[14],FEe[14],GEe[14],UEe[14],MEe[14],PEe[14]],i$e,function(r,n){return r>>3|0)>>>(7&~n)&1}function wNe(r,n){var t=r[2],e=r[1],u=e-1|0;if(15>=u>>>0)switch(u){case 0:return yNe(t,n);case 1:return lH(t,n>>>2|0)>>>(2*(3&~n)|0)&3;case 3:return lH(t,n>>>1|0)>>>(4*(1&~n)|0)&15;case 7:return lH(t,n);case 15:var a=2*n|0;return(lH(t,a)<<8)+lH(t,a+1|0)|0}if(32!==e)throw LQ([0,mS,Lpr],1);var f=4*n|0;return(((lH(t,f)<<8)+lH(t,f+1|0)<<8)+lH(t,f+2|0)<<8)+lH(t,f+3|0)|0}function gNe(r,n,t){return yNe(r[2],zC(r[1],n)+t|0)}function qNe(r,n,t){if(n===t)return 0;var e=qNe(r,n+1|0,t);return[0,eS(r,n),e]}function INe(r,n){var t=n[3];var e=t?t[1]:function(t){var e=[0,eS(r[29],t[1])];return eS(n[2],e)};function u(t){var a=eS(r[13],t),f=eS(r[21],t);if(a&&f){var i=a[1];return u(f[1]),eS(n[1],gz),eS(e,i)}}function a(r){return u(r),eS(n[1],qz)}function f(t){var e=t[1],u=t[2],a=eS(r[31],e);return eS(n[2],a),eS(n[1],Hpr),function(r,t){for(var e=r,u=t;;)if(0===e)eS(n[1],Vpr),eS(n[1],gz),e=-1;else{if(!u)return;var a=u[2];eS(n[2],u[1]),eS(n[1],gz),e=e-1|0,u=a}}(u,eS(r[32],e)),eS(n[1],qz)}function i(t){eS(n[1],"Current LR(1) state: ");var e=eS(r[13],t);if(e){var u=e[1][1],a=rA+eS(r[9],u);return eS(n[1],a),eS(n[1],qz),N0(f,eS(r[30],u))}return eS(n[1],""),eS(n[1],qz)}return[0,,,,f,,i,function(r){return a(r),i(r),eS(n[1],qz)}]}function DNe(r){return 0<=r&&r<64?sV("ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",r):lY(eS(I6(Xpr),r))}function ENe(r,n){for(var t=0<=n?n<<1:1+(-n<<1)|0;;){var e=31&t,u=t>>>5|0;if(0===u)return H2(r,DNe(e));H2(r,DNe(32|e)),t=u}}function $Ne(r){return r?$c+"// Timer-related\n\nlet setTimer = @setTimer;\nlet cancelTimer = @cancelTimer;\n":Ypr}function TNe(r){switch(r){case 0:return"i32";case 1:return"i64";case 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h=[0,0],x=[0,0],y=[0,0],w=[0,0];function g(r){return"number"!=typeof r&&1===r[0]?0:1}function q(r){return"number"!=typeof r&&1===r[0]&&r[1]?1:0}function I(r){var t=b0(r&Cq);return H2(n[1],t)}function D(r){return I(r&Cq),I(r>>>8|0)}function E(r){return D(r&$l),D(r>>16)}function $(r){for(var n=r;;){var t=cH(uH(n,z_r));if($H(J_r,n)&&TH(n,W_r))return I(t);I(t|$P),n=_H(n,7)}}function T(r){for(var n=r;;){var t=cH(uH(n,Z_r));if($H(X_r,n)&&TH(n,Y_r))return I(t);I(t|$P),n=mH(n,7)}}function N(r){return $(uH(iH(r),Rhr))}function F(r){return T(iH(r))}function G(r,n){return r?1<>>7|0|$P)),cFe(n,r+2|0,e(t>>>14|0|$P)),cFe(n,r+3|0,e(t>>>21|0|$P)),cFe(n,r+4|0,e(t>>>28|0))}function Q(r){switch(r){case 0:return F(-1);case 1:return F(-2);case 2:return F(-3);default:return F(-4)}}function C(r){return F(-16)}function L(r,n,t){var e=n[2],u=n[1],a=G(1===t?1:0,2);return I(G(0!==e?1:0,0)+a|0),eS(r,u),c0(r,e)}function H(r){if(0===r[0]){var n=r[1];return C(r[2]),L(N,n,0)}var t=r[1];return C(r[2]),L($,t,1)}function V(r){return L($,r[1],r[2])}function S(r){var n=r[2];return Q(r[1]),I(n?1:0)}function z(r){return I(11)}function J(r){var n=r[3];return N(r[2]),$(n)}function W(r){return N(r[2])}function Z(r){if(0===r[0])return T(iH(r[1][2]));var n=r[1];return n?Q(n[1]):F(-64)}function X(r,u){for(var s=u;;){if(iV(s[1],Wle)){var b=fFe(n),j=s[1][1][3],k=s[1][1][2]-1|0,D=A(s[1][1][1],e[1]);0!==f[1]&&H2(t,59),ENe(t,b-i[1]|0),ENe(t,D-a[1]|0),ENe(t,k-c[1]|0),ENe(t,j-o[1]|0),H2(t,44),a[1]=D,f[1]=0,i[1]=b,c[1]=k,o[1]=j,w[1]++}eS(r,s);var $=function(n){return X(r,n)},F=s[2];if("number"==typeof F)switch(F){case 0:return I(0);case 1:return I(1);case 2:return I(26);case 3:return I(27);case 4:return I(15);case 5:return I(63),I(0);case 6:return I(64),I(0);case 7:return I(lo),N(11),I(0);case 8:return I(lo),N(10),I(0),I(0);case 9:return I(63),I(1);case 10:return I(64),I(1);case 11:return I(lo),N(10),I(0),I(1);default:return I(lo),N(10),I(1),I(0)}switch(F[0]){case 0:var G=F[2],M=F[1];return I(2),Z(M),N0($,G),z();case 1:var P=F[2],O=F[1];return I(3),Z(O),N0($,P),z();case 2:var R=F[3],Q=F[2],C=F[1];return I(4),Z(C),N0($,Q),0!==R&&I(5),N0($,R),z();case 3:var L=F[1];return I(12),W(L);case 4:var H=F[1];return I(13),W(H);case 5:var V=F[2],S=F[1];return I(14),K(U,W,S),W(V);case 6:var Y=F[1];return I(16),W(Y);case 7:var rr=F[2],nr=F[1];return I(17),W(rr),W(nr);case 8:var tr=F[1];return I(32),W(tr);case 9:var er=F[1];return I(33),W(er);case 10:var ur=F[1];return I(34),W(ur);case 11:var ar=F[1];return I(35),W(ar);case 12:var fr=F[1];return I(36),W(fr);case 13:var ir=F[1];switch(ir[1]){case 0:var cr=ir[4];if(cr){var or=cr[1];switch(or[1]){case 0:return or[2]?(I(45),J(ir)):(I(44),J(ir));case 1:return or[2]?(I(47),J(ir)):(I(46),J(ir));default:throw LQ([0,mS,rhr],1)}}return I(40),J(ir);case 1:var vr=ir[4];if(vr){var Ar=vr[1];switch(Ar[1]){case 0:return Ar[2]?(I(49),J(ir)):(I(48),J(ir));case 1:return Ar[2]?(I(51),J(ir)):(I(50),J(ir));default:return 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0===n[0]?0:[0,n[1]]})(F));var U=G[2],M=n1(function(r){return r},$Me(function(n){return HPe(r,U,n)},F)),P=M[1],K=u1(hwe,M[2]),O=u1(hwe,P);return[3,G[2],O,K];case 3:var R=t[1],Q=QPe(r,t[2]);return[5,yPe(R)(Q)];case 4:return[6,QPe(r,t[1])];case 5:var C=t[1];return xPe(r,Vwr,Hwr,D0(function(r){return r[2][1]},C)),[4,u1(hwe,D0(function(n){return VPe(r,n)},C))];case 6:return[7,$Me(function(n){return CPe(r,n)},t[1])];case 7:var L=t[4],H=t[3],V=t[1],S=SPe(r,t[2]),z=S[2],J=S[1],W=n[1],Z=V[2],X=PPe(BPe(r,S[3],S[4]),Z,J,z,0,W),Y=EPe(H),rr=$Pe(V[2],L),nr=rr[1],tr=function(r){return CPe(X,r)},er=EMe(function(r){return $Me(tr,r)},Y,rr[2]),ur=er[2],ar=er[1];NPe(r,L[1],V[2],nr,ur);var fr=1-r[13];if(fr?0!==V[2]?1:0:fr){TPe(r,n[1],z);var ir=Nwe(ar);1-zge(ir)&&uS(DPe(r,ir,H[1],zwr,Swr),GMe,ir),N0(function(t){var e=1-zge(t);return e?uS(DPe(r,t,n[1],Pwr,Mwr),GMe,t):e},ur);r:{switch(nr){case 0:if(!ur&&QL(V[2],Jwr))break r;break;case 1:break r}var cr=Nwe(ur);uS(JMe(0,0,0,r,L[1],Zwr,Wwr),GMe,cr)}}var vr=D0(function(r){return Owe(J,r)},ur),Ar=D0(function(r){return Owe(J,r)},ar),sr=Rwe(J,z);return[8,V[2],nr,sr,Ar,vr];case 8:var br=t[3],lr=t[1],Br=QPe(r,t[2]),jr=QPe(r,br),kr=1-r[13];return(kr?1-zge(jr):kr)&&uS(DPe(r,jr,br[1],Ywr,Xwr),GMe,jr),[9,lr,Br,jr];case 9:var pr=t[2],dr=t[1],mr=EMe(function(n){return QPe(r,n)},dr,pr),_r=mr[2],hr=mr[1];try{var xr=Cqe([0,r[24]],hr,_r)}catch(f){var yr=qV(f);if(yr!==uqe)throw LQ(yr,0);xr=JMe(0,0,0,r,pr[1],ngr,rgr)}var wr=1-r[13];if(wr){var gr=kPe(r,n[1],xr,1);if(gr)var qr=1-(kPe(r,dr[1],hr,1)||kPe(r,pr[1],_r,1));else qr=gr}else qr=wr;return qr&&cS(ZMe(0,0,0,r,n[1],egr,tgr),FMe,xr,GMe,hr,GMe,_r),xr;case 10:var Ir=t[2],Dr=t[1],Er=EMe(function(n){return QPe(r,n)},Dr,Ir),$r=Er[2],Tr=Er[1];try{var Nr=Qqe([0,r[24]],Tr,$r)}catch(f){var Fr=qV(f);if(Fr!==uqe)throw LQ(Fr,0);Nr=JMe(0,0,0,r,Ir[1],agr,ugr)}var Gr=1-r[13];if(Gr){var Ur=kPe(r,n[1],0,Nr);if(Ur)var Mr=1-(kPe(r,Dr[1],0,Tr)||kPe(r,Ir[1],0,$r));else Mr=Ur}else Mr=Gr;return 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37:return vOr;case 38:return AOr;case 39:return sOr;case 40:return bOr;case 41:return lOr;case 42:return BOr;case 43:return jOr;case 44:return kOr;case 45:return pOr;case 46:return dOr;case 47:return mOr;case 48:return _Or;case 49:return hOr;case 50:return xOr;case 51:return yOr;case 52:return wOr;case 53:return gOr;case 54:return qOr;case 55:return IOr;case 56:return DOr;case 57:return EOr;case 58:return $Or;case 59:return TOr;case 60:return NOr;case 61:return FOr;case 62:return GOr;case 63:return UOr;case 64:return MOr;default:return POr}switch(n){case 0:return qKr;case 1:return IKr;case 2:return DKr;case 3:return EKr;case 4:return $Kr;case 5:return TKr;case 6:return NKr;case 7:return FKr;case 8:return GKr;case 9:return UKr;case 10:return MKr;case 11:return PKr;case 12:return KKr;case 13:return OKr;case 14:return RKr;case 15:return QKr;case 16:return CKr;case 17:return LKr;case 18:return HKr;case 19:return VKr;case 20:return SKr;case 21:return zKr;case 22:return JKr;case 23:return WKr;case 24:return ZKr;case 25:return XKr;case 26:return YKr;case 27:return rOr;case 28:return nOr;case 29:return tOr;case 30:return eOr;case 31:return uOr;default:return aOr}}function IRe(r){var n=r-4|0;if(Oq>>0)throw LQ([0,mS,$Mr],1);var t=n;if(51<=t)switch(t){case 51:return DPr;case 52:return EPr;case 53:return $Pr;case 54:return TPr;case 55:return NPr;case 56:return FPr;case 57:return GPr;case 58:return UPr;case 59:return MPr;case 60:return PPr;case 61:return KPr;case 62:return OPr;case 63:return RPr;case 64:return QPr;case 65:return CPr;case 66:return LPr;case 67:return HPr;case 68:return VPr;case 69:return SPr;case 70:return zPr;case 71:return JPr;case 72:return WPr;case 73:return ZPr;case 74:return XPr;case 75:return YPr;case 76:return rKr;case 77:return nKr;case 78:return tKr;case 79:return eKr;case 80:return uKr;case 81:return aKr;case 82:return fKr;case 83:return iKr;case 84:return cKr;case 85:return oKr;case 86:return vKr;case 87:return AKr;case 88:return sKr;case 89:return bKr;case 90:return lKr;case 91:return BKr;case 92:return jKr;case 93:return kKr;case 94:return pKr;case 95:return dKr;case 96:return mKr;case 97:return _Kr;case 98:return hKr;case 99:return xKr;case 100:return yKr;default:return wKr}switch(t){case 0:return TMr;case 1:return NMr;case 2:return FMr;case 3:return GMr;case 4:return UMr;case 5:return MMr;case 6:return PMr;case 7:return KMr;case 8:return OMr;case 9:return RMr;case 10:return QMr;case 11:return CMr;case 12:return LMr;case 13:return HMr;case 14:return VMr;case 15:return SMr;case 16:return zMr;case 17:return JMr;case 18:return WMr;case 19:return ZMr;case 20:return XMr;case 21:return YMr;case 22:return rPr;case 23:return nPr;case 24:return tPr;case 25:return ePr;case 26:return uPr;case 27:return aPr;case 28:return fPr;case 29:return iPr;case 30:return cPr;case 31:return oPr;case 32:return vPr;case 33:return APr;case 34:return sPr;case 35:return bPr;case 36:return lPr;case 37:return BPr;case 38:return jPr;case 39:return kPr;case 40:return pPr;case 41:return dPr;case 42:return mPr;case 43:return _Pr;case 44:return hPr;case 45:return xPr;case 46:return yPr;case 47:return wPr;case 48:return gPr;case 49:return qPr;default:return IPr}}function DRe(r,n){var t=r[2],e=r[1],u=wNe(t,n+1|0);return qNe(function(r){return wNe(e,r)},wNe(t,n),u)}function ERe(r){if(0>=r)throw LQ([0,mS,Cpr],1);var n=r>>>1|0;return 1&r?IRe(n):qRe(n-1|0)}function $Re(r){var n=4+r|0;if(QL(IRe(n),[0,[1,r]]))return n;throw LQ([0,mS,Qpr],1)}function TRe(r){if(QL(qRe(r),[0,[0,r]]))return r;throw LQ([0,mS,Rpr],1)}function NRe(r,n){var t=TRe(n);return TRe(r)-t|0}function FRe(r,n){var t=$Re(n);return $Re(r)-t|0}function GRe(r){return[0,r>>>10|0,r%BG|0]}function URe(r){if(0!==r&&1!==r)throw LQ([0,mS,Opr],1);return 1===r?1:0}function MRe(r,n){var t=TRe(n);return URe(gNe(qLr,$Re(r),t))}function PRe(r,n,t,e){for(var u=r,a=e;;){if(u===n)return a;var f=uS(t,u,a);u=u+1|0,a=f}}function KRe(r,n){return BY(wz)}function ORe(r){return BY(wz)}function RRe(r){return pRe(_I,r)}function QRe(r){return pRe(Dh,r)}var CRe=[0,dRe,mRe,function(r,n,t){return[0,eS(r,n),n[11],n[12]]},function(r,n,t){for(var e=r,u=t;;){var a=e?e[1]:XG;if("number"==typeof u)throw LQ(ARe,1);switch(u[0]){case 0:var f=eS(n,0);e=[0,a],u=dRe(u)(f);break;case 4:return u[1];default:e=[0,a],u=mRe([0,a],u)}}},function(r,n,t,e){for(var u=e;;){if("number"!=typeof u)switch(u[0]){case 0:var a=eS(t,0);u=dRe(u)(a);continue;case 4:return eS(r,u[1]);case 3:break;default:u=mRe(0,u);continue}return eS(n,u)}},function(r,n,t,e){if("number"==typeof e||0!==e[0])u=0;else var u=1;if(!u)throw LQ([0,mS,Zpr],1);for(var a=[0,e,e];;){var f=a[2],i=a[1];if("number"!=typeof f)switch(f[0]){case 0:var c=eS(t,0);a=[0,f,dRe(f)(c)];continue;case 4:return eS(r,f[1]);case 3:break;default:a=[0,i,mRe(0,f)];continue}return uS(n,i,f)}},_Re,function(r,n,t){return _Re(dRe(r)([0,n,t,t]))?1:0},function(r){return r},function(r){return fRe(r),r},function(r){return fRe(r),r},function(r){return hRe(r[3],r[4])},xRe,gRe,function(r,n){var t=gRe(r,n);return t?xRe(t[1]):0},function(r){return r[4]},function(r,n){var t=r[3]===n[3]?1:0;return t?r[4]===n[4]?1:0:t},function(r){var n=r[2];return[0,n[2],n[3]]},function(r){return yRe(r[4])},yRe,wRe,function(r,n){var t=n[4],e=wNe(Uz,t);if(0===e)for(var u=0,a=0,f=Mz[1],i=function(n,e){return function(n,e){return e||cRe(t,n,0,function(r,n,t,e,u){return 0},function(n,t){return r===t?1:0},function(r){return 0},0)}(n,e)};;){if(u===f){var c=a;break}var o=i(u,a);u=u+1|0,a=o}else c=r===(e-1|0)?1:0;if(!c)return BY("force_reduction: this reduction is not permitted in this state");if(r<4)throw LQ([0,mS,Wpr],1);var v=eS(vRe(r),n),A=oRe(v[1],r);return[0,n[1],n[2],v,A]},function(r){return[0,r]},NRe,FRe,function(r,n){var t=r[1];if(0===t[0]){var e=n[1],u=t[1];return 0===e[0]?NRe(u,e[1]):-1}var a=n[1],f=t[1];return 0===a[0]?1:FRe(f,a[1])},function(r,n){return r-n|0},function(r,n){var t=r[1]-n[1]|0,e=n[2],u=r[2];return 0===t?u-e|0:t},function(r){return ERe(wNe(yLr,wNe(Oz,r)))[1]},function(r){return D0(GRe,DRe(gLr,wNe(Oz,r)))},function(r){return IRe(wNe(Pz,r))},function(r){return D0(ERe,DRe(wLr,r))},function(r){return URe(yNe("\b\0ÿÿð@?À\0\0\0@",$Re(r)))},MRe,function(r,n){var t=r[1];return 0===t[0]?0===NRe(n,t[1])?1:0:MRe(t[1],n)},function(r,n){return PRe(0,Mz[1],function(n,t){return uS(r,qRe(n),t)},n)},function(r,n){return PRe(0,Mz[1],function(n,t){return 0===n?t:uS(r,qRe(n),t)},n)},function(r,n,t,e,u){if(0===r[0]){var a=TRe(r[1]),f=u[4];return cRe(f,a,t,function(r,t,u,a,i){return[0,r[1],r[2],[0,f,a,n,e,r[3]],i]},KRe,ORe,u)}var i=$Re(r[1]),c=u[4],o=iRe(Kz,c,i);if(0>o)throw LQ([0,mS,Mpr],1);var v=0===o?0:[0,o-1|0];return v?[0,u[1],u[2],[0,c,t,n,e,u[3]],v[1]]:BY(wz)}];function LRe(r){return"number"!=typeof r&&8===r[0]?1:0}function HRe(r,n){var t=UOe(r[11]);throw LQ([0,GOe,[0,t,UOe(r[12])],n],1)}function VRe(r,n,t){return n[11]=r,HRe(n,t)}function SRe(r,n){for(var t=O2(bH(n)),e=[0,1];;){if(e[1]>=(bH(n)-1|0))return R2(t);if(10===sV(n,e[1])&&s2(r),$P<=sV(n,e[1])){var u=hr<=sV(n,e[1])?T$<=sV(n,e[1])?3:2:1;e[1]=e[1]+u|0;var a=Dje([0,m0(qje(w1(n,e[1]-u|0,1+u|0))),0])}else if(92===sV(n,e[1])){e[1]++;var f=sV(n,e[1]);r:{n:if(40<=f){if(EP<=f){if(zb>f){switch(f+-110|0){case 0:var i=Dje(YVr);break;case 4:i=Dje(rSr);break;case 6:i=Dje(nSr);break;case 7:var c=e[1]+2|0;e[1]=F1(n,c,ba);try{var o=wH(RI+w1(n,c,e[1]-c|0));if(!(0<=o&&yP>o||fw<=o&&hO>o))throw LQ([0,bS,tSr],1);var v=o}catch(o){var A=qV(o);if(A[1]!==bS)throw LQ(A,0);v=HRe(r,eSr)}i=Dje([0,v,0]);break;default:break n}var s=i;break r}}else if(92===f){s=Dje(uSr);break r}}else{if(34===f){s=Dje(fSr);break r}if(39<=f){s=Dje(aSr);break r}}e[1]++;var b=x1(1,sV(n,e[1]));let t=b0(wH(RI+x1(1,f)+b));s=Q1(function(r){return[0,t,JY]})}a=s}else a=Dje([0,sV(n,e[1]),0]);e[1]++,V2(t,a,0,bH(a))}}function zRe(r,n,t){for(;;){for(var e=OR;;){var u=c2(Rz,e,t);if(5>=u>>>0)break;eS(t[1],t),e=u}switch(u){case 0:return S2(r,A2(t,t[5],t[5]+2|0));case 1:S2(r,A2(t,t[5],t[5]+2|0)),zRe(r,t[11],t);break;case 2:var a=yC(t[2],t[5]);s2(t),H2(r,a);break;case 3:return VRe(n,t,ZVr);case 4:S2(r,A2(t,t[5],t[6]));break;default:return HRe(t,XVr)}}}function JRe(r){return[0,r,[32,[0,r,c8r,hz],0,[0,0,0]],hz]}var 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Wt=e[1],Zt=DYe(e[2]);return ZWe(DYe(Wt),Zt)[2];case 28:var Xt=e[1],Yt=DYe(e[2]);return XWe(DYe(Xt),Yt)[2];case 29:var re=e[2],ne=e[1],te=DYe(e[3]),ee=DYe(re);return[5,DYe(ne),ee,te];case 30:var ue=e[1],ae=HYe(e[2]);return[6,DYe(ue),ae];case 31:var fe=e[3],ie=e[1];let t=fe,Pu=ie;var ce=IYe(r,n,e[2],fe,function(r){return[31,Pu,r,t]});if(nl<=ce[1]){var oe=DYe(ce[2]),ve=DYe(ie),Ae=pWe(Jan);return vZe(Ae,YS,AZe(SWe(ve,oe,aZe(Ae,eZe(0)))))[2]}e=ce[2];break;case 32:var se=e[3],be=e[2];let Ku=se,Ou=be;var le=IYe(r,n,e[1],se,function(r){return[32,r,Ou,Ku]});if(nl<=le[1]){var Be=le[2];if(!be)return[7,DYe(Be)];var je=DYe(be[1]),ke=DYe(Be),pe=pWe(zan),de=aZe(pe,eZe(0));return vZe(pe,YS,AZe(mZe(ke,SWe(je,eZe(0),de))))[2]}e=le[2];break;case 33:var me=e[4],_e=e[2],he=e[1];let Ru=me,Qu=_e,Cu=he;var xe=IYe(r,n,e[3],me,function(r){return[33,Cu,Qu,r,Ru]});if(nl<=xe[1]){var ye=xe[2],we=_e[2];if(24===we[0]&&!we[1]){var ge=we[2][2];if(19===ge[0]){var qe=ge[2],Ie=ge[1],De=we[4][2];r:if(Xwe(Ie[3][1])){if(qe[2]!==IB&&qe[2]!==QE&&qe[2]!==gR)break r;var Ee=De[1],$e=dWe("arr",Ie[3][1]),Te=dWe("indx",[10,nz]),Ne=qe[2];if(Ne!==gR){if(Ne!==IB&&Ne!==QE)throw LQ([0,mS,gvn],1);var Fe=[0,wWe(Te),0],Ge=gWe(14,[0,wWe($e),Fe])}else Ge=wWe(Te);var Ue=dWe(qvn,uz),Me=pWe(Ivn),Pe=cZe(Te,gWe(12,[0,wWe(Te),0])),Ke=aZe(Me,eZe(0)),Oe=[0,wWe(Ue),0],Re=SWe(gWe(13,[0,wWe(Te),Oe]),Ke,Pe),Qe=[0,pZe(DYe(ye)),0],Ce=vZe(Me,YS,AZe(OWe([0,BZe(yYe(SYe,he),Ge),Qe],Re))),Le=uZe(),He=eS(gEe[20],-1),Ve=[0,[0,f_e,[2,[6,He]],[0,uz,VZ[2],VZ[3],VZ[4]]],0],Se=SWe(gWe(13,[0,wWe(Ue),Ve]),Le,Ce),ze=[0,kZe(Te,[0,f_e,[2,[1,DEe[2]]],[0,nz,VZ[2],VZ[3],VZ[4]]]),0],Je=[0,jZe(Ue,gWe(15,[0,wWe($e),0])),ze],We=[0,pZe(DYe(Ee)),Je];return OWe([0,jZe($e,DYe(Ie)),We],Se)[2]}}}var Ze=DYe(ye),Xe=DYe(_e),Ye=yYe(SYe,he),ru=pWe(San),nu=Tge(SZ,mge([0,SZ,0],Xe[3][1])[2]),tu=dWe("nxt",nu),eu=aZe(ru,uZe()),uu=uZe(),au=vZe(ru,YS,AZe(nZe(VWe(wWe(tu),0,uu),eu,Ye,Ze,YS)));return 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Eu=dWe("thunk",Du[3][1]),$u=[0,[0,Eu[1],Eu[2]]],Tu=HYe(yu),Nu=[16,DYe(wu),Tu,$u],Fu=[0,wu[1],Nu,n];return OWe([0,jZe(Eu,Du),0],Fu)[2]}throw LQ([0,mS,Wan],1);default:var Gu=e[1],Uu=uZe(),Mu=DYe(Gu);return[4,[0,[0,[0,Gu[1],[0,[0,Gu[1],0,0],Mu],0],0],Uu]]}}function $Ye(r,n){if(!n)return wvn;var t=n[1];if(!r)return[0,[0,pZe(DYe(t)),0],0];if(gqe(0,t[3][1],[3,0,[0,tIe,0],0]))var e=0,u=[0,function(r){return pZe(oZe("@cycles",rZe(r,Bz,nz)))},0];else e=0,u=0;if(gqe(0,t[3][1],[3,0,[0,eIe,0],0]))var a=0,f=[0,function(r){return pZe(oZe(xvn,UWe(rZe(r,kz,tz))))},0];else a=[0,pZe(cZe([0,yvn,[10,[6,tz]]],LWe())),0],f=0;var i=xY(e,a),c=xY(u,f);if(0===c)return[0,[0,pZe(DYe(t)),0],i];var o=dWe("par",t[3][1]),v=xY(D0(function(r){return eS(r,wWe(o))},c),i);return[0,[0,jZe(o,DYe(t)),0],v]}function TYe(r){function n(r){r:{if(0===r[0]){var n=r[1];if(7!==n&&n)break r}else{var t=r[1];if(7!==t&&2<=t)break r}return 1}return 0}function t(r){r:{if(0===r[0]){if(2!==r[1])break r}else if(1>>0)break r;return 1}return 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n;var Wr=e[1],Zr=Wr[2];if("number"!=typeof Zr&&2===Zr[0]){t=Or,e=[0,[0,Wr[1],[2,Zr[1],Zr[3],Zr[2]]],e[2]];continue}break n;case 1:var Xr=t[2];if(!Xr)break n;var Yr=Xr[1][2];if("number"!=typeof Yr&&16===Yr[0]){var rn=Yr[1][2];if(1!==rn[0])break n;var nn=Xr[2],tn=QL(rn[1],Ukn)?1:0;t=nn,e=[0,[0,Pr[1],[16,[0,Pr[1],[0,tn]]]],e];continue}break n;default:break n}case 18:var en=Kr[1];switch(en[0]){case 0:if(en[1])break n;var un=t[2];if(!un)break n;var an=un[1][2];if("number"!=typeof an&&16===an[0]){var fn=an[1][2];if(0!==fn[0])break n;if(iV(fn[1],0))break n;t=un[2],e=[0,[0,Pr[1],Mkn],e];continue}break n;case 1:if(en[1])break n;var cn=t[2];if(!cn)break n;var on=cn[1][2];if("number"!=typeof on&&16===on[0]){var vn=on[1][2];if(1!==vn[0])break n;if(iV(vn[1],Pkn))break n;t=cn[2],e=[0,[0,Pr[1],Kkn],e];continue}break n;default:break n}}}}if(!e)return y0(t);var An=e[1],sn=An[2],bn=An[1];n:if("number"!=typeof sn)switch(sn[0]){case 0:if(sn[2])break r;e=e[2];continue;case 2:if(sn[2])break n;if(sn[3])break n;e=[0,[0,An[1],2],e[2]];continue;case 16:var ln=sn[1][2];switch(ln[0]){case 0:if(iV(ln[1],0))break r;var Bn=e[2];if(!Bn)break r;var jn=Bn[1][2];if("number"!=typeof jn&&20===jn[0]){var kn=jn[1];if(0!==kn[0])break r;if(2>>0)break r;e=Bn[2];continue}break r;case 1:var pn=ln[1];if(!iV(pn,Okn)){var dn=e[2];if(!dn)break r;var mn=dn[1][2];if("number"!=typeof mn&&20===mn[0]){var _n=mn[1];if(1!==_n[0])break r;if(2<_n[1]+vU>>>0)break r;e=dn[2];continue}}var hn=e[2];if(!hn)break r;var xn=hn[1][2];if("number"!=typeof xn)switch(xn[0]){case 16:var yn=xn[1][2];if(1!==yn[0])break r;var wn=hn[2];if(!wn)break r;var gn=wn[1],qn=gn[2];if("number"!=typeof qn&&20===qn[0]){var In=qn[1];if(1!==In[0])break r;var Dn=In[1],En=gn[1],Tn=yn[1];if(7===Dn){e=[0,[0,En,[16,[0,En,[1,uH(pn,Tn)]]]],wn[2]];continue}if(8!==Dn)break r;e=[0,[0,En,[16,[0,En,[1,pH(pn,Tn)]]]],wn[2]];continue}break r;case 21:var Nn=xn[1];if(0!==Nn[0])break r;if(2!==Nn[1])break r;e=[0,[0,bn,[16,[0,bn,[0,cH(pn)]]]],hn[2]];continue}break 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Xn=Zn[1][2];if("number"!=typeof Xn&&16===Xn[0]){var Yn=Xn[1][2];if(0!==Yn[0])break r;if(iV(Yn[1],31))break r;var rt=e[1],nt=rt[2];if("number"!=typeof nt&&2===nt[0]){t=Zn[2],e=[0,[0,Pn[1],Lkn],[0,[0,rt[1],[2,nt[1],nt[3],nt[2]]],e[2]]];continue}break r}break r;default:break r}break;default:break n}var tt=e[1],et=tt[2];if("number"!=typeof et&&2===et[0]){if(et[2])break r;t=[0,[0,Pn[1],Hkn],t[2]],e=[0,[0,tt[1],[2,et[1],et[3],0]],e[2]];continue}break r}}}t=[0,e[1],t],e=e[2]}}(0,r)}function _2e(r){return m2e(aS(r,0,Wle,0))}function h2e(r,n,t){return m2e(aS(t,r+1|0,n,0))}function x2e(r,n,t){return t}function y2e(r,n,t,e,u){return aS(r,t,e,aS(n,t,e,u))}function w2e(r,n,t,e){return[0,[0,t,r],e]}function g2e(r,n){return U0(y2e,D0(r,n),x2e)}function q2e(r,n){return U0(y2e,$0(r,n),x2e)}function I2e(r,n){return U0(y2e,Tje(r,n),x2e)}function D2e(r,n,t,e,u){var a=r[2],f=r[1];return aS(n,t,[0,[0,f[1],f[2],f[3]],[0,a[1],a[2],a[3]]],u)}function E2e(r,n,t,e,u,a){var 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e=NFe(pGe,r);return[0,SFe(r),e]}if(iV(n,2))return wFe(r,BFe(r)-1|0,"malformed data segment kind");var u=NFe(dGe,r);return[0,SFe(r),u]}function _3e(r){return[0,PFe(r)]}function h3e(r,n){return gGe(r,n,Dz,EGe)}function x3e(r,n){return gGe(r,n,Ez,TGe)}function y3e(r){if(1158>>0)throw LQ(kS,1);var n=r;if(580<=n){if(870<=n){if(1015<=n){if(1087<=n){if(1123<=n)switch(n){case 1123:return H7r;case 1124:return[0,wVe];case 1125:return[0,[0,V7r,SVe]];case 1126:return[0,SVe];case 1127:return[0,[0,S7r,JVe]];case 1128:return[0,[0,z7r,ZVe]];case 1129:return[0,ZVe];case 1130:return[0,WVe];case 1131:return J7r;case 1132:return[0,JVe];case 1133:return[0,zVe];case 1134:return W7r;case 1135:return[0,[0,Z7r,YVe]];case 1136:return[0,[0,X7r,nSe]];case 1137:return[0,nSe];case 1138:return[0,rSe];case 1139:return Y7r;case 1140:return[0,YVe];case 1141:return[0,XVe];case 1142:return r8r;case 1143:return[0,VVe];case 1144:return[0,HVe];case 1145:return[0,LVe];case 1146:return[0,CVe];case 1147:return[0,QVe];case 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1084:return[0,$Ve];case 1085:return[0,EVe];default:return x7r}switch(n){case 1015:return D5r;case 1016:return[0,pJ];case 1017:return E5r;case 1018:return $5r;case 1019:return[0,CJ];case 1020:return[0,jJ];case 1021:return T5r;case 1022:return[0,[0,N5r,kVe]];case 1023:return[0,kVe];case 1024:return[0,JJ];case 1025:return F5r;case 1026:return G5r;case 1027:return U5r;case 1028:return M5r;case 1029:return P5r;case 1030:return K5r;case 1031:return O5r;case 1032:case 1036:return[0,pVe];case 1033:return R5r;case 1034:return Q5r;case 1035:return C5r;case 1037:return L5r;case 1038:return H5r;case 1039:return V5r;case 1040:return[0,[0,S5r,_Ve]];case 1041:return[0,_Ve];case 1042:return[0,mVe];case 1043:return[0,dVe];case 1044:return z5r;case 1045:return J5r;case 1046:return W5r;case 1047:return Z5r;case 1048:return X5r;case 1049:return Y5r;default:return[0,qCe]}}if(943<=n){if(979<=n)switch(n){case 979:return u5r;case 980:return a5r;case 981:return f5r;case 982:return i5r;case 983:return[0,[0,c5r,SJ]];case 984:return o5r;case 985:return v5r;case 986:return[0,SJ];case 987:return A5r;case 988:return s5r;case 989:return b5r;case 990:return l5r;case 991:return[0,_J];case 992:return B5r;case 993:return[0,[0,j5r,zJ]];case 994:return k5r;case 995:return p5r;case 996:return[0,zJ];case 997:return d5r;case 998:return m5r;case 999:return[0,KCe];case 1e3:return[0,PCe];case 1001:return[0,MCe];case 1002:return _5r;case 1003:return[0,dJ];case 1004:return h5r;case 1005:return[0,NCe];case 1006:return[0,TCe];case 1007:return x5r;case 1008:return[0,[0,[2,XRe],jVe]];case 1009:return[0,jVe];case 1010:return y5r;case 1011:return w5r;case 1012:return[0,[0,[2,bJ],g5r]];case 1013:return q5r;default:return I5r}switch(n){case 943:return G4r;case 944:return U4r;case 945:return M4r;case 946:return P4r;case 947:return K4r;case 948:return O4r;case 949:return R4r;case 950:return[0,qJ];case 951:return Q4r;case 952:return[0,gJ];case 953:return C4r;case 954:return L4r;case 955:return H4r;case 956:return V4r;case 957:return[0,[0,[2,bJ],S4r]];case 958:return z4r;case 959:case 969:return[0,VJ];case 960:return[0,HJ];case 961:return J4r;case 962:return W4r;case 963:return[0,[0,Z4r,lVe]];case 964:return[0,lVe];case 965:return[0,bVe];case 966:return[0,sVe];case 967:return[0,AVe];case 968:return X4r;case 970:return[0,BVe];case 971:return Y4r;case 972:return[0,OLe];case 973:return r5r;case 974:return[0,IJ];case 975:return n5r;case 976:return[0,[0,[2,bJ],t5r]];case 977:return e5r;default:return[0,xJ]}}if(907<=n)switch(n){case 907:return[0,eVe];case 908:return[0,tVe];case 909:return A4r;case 910:return[0,[0,s4r,cVe]];case 911:return[0,cVe];case 912:return[0,iVe];case 913:return[0,fVe];case 914:return b4r;case 915:return[0,[0,l4r,vVe]];case 916:return[0,vVe];case 917:return[0,oVe];case 918:return[0,PHe];case 919:return B4r;case 920:return[0,[0,j4r,UHe]];case 921:return k4r;case 922:return[0,QJ];case 923:return[0,[0,[2,PJ],p4r]];case 924:return d4r;case 925:return[0,[0,m4r,LJ]];case 926:return _4r;case 927:return h4r;case 928:return[0,LJ];case 929:return x4r;case 930:return y4r;case 931:return w4r;case 932:return[0,HJ];case 933:return g4r;case 934:return q4r;case 935:return[0,[0,[2,PJ],I4r]];case 936:return D4r;case 937:return E4r;case 938:return[0,[0,[2,bJ],$4r]];case 939:return T4r;case 940:return[0,NJ];case 941:return N4r;default:return F4r}switch(n){case 870:return[0,QJ];case 871:return[0,MJ];case 872:return W6r;case 873:return Z6r;case 874:return[0,[0,X6r,RHe]];case 875:return[0,RHe];case 876:return[0,CJ];case 877:return Y6r;case 878:return r4r;case 879:return n4r;case 880:return[0,OHe];case 881:return[0,KHe];case 882:return[0,[0,t4r,VHe]];case 883:return[0,VHe];case 884:return[0,HHe];case 885:return[0,[0,e4r,JHe]];case 886:return[0,JHe];case 887:return[0,zHe];case 888:return[0,SHe];case 889:return u4r;case 890:return[0,[0,a4r,XHe]];case 891:return[0,XHe];case 892:return[0,ZHe];case 893:return[0,WHe];case 894:return f4r;case 895:return[0,LHe];case 896:return[0,CHe];case 897:return[0,QHe];case 898:return i4r;case 899:return[0,[0,c4r,nVe]];case 900:return[0,nVe];case 901:return[0,rVe];case 902:return[0,YHe];case 903:return o4r;case 904:return[0,[0,v4r,aVe]];case 905:return[0,aVe];default:return[0,uVe]}}if(725<=n){if(798<=n){if(as<=n)switch(n){case 834:return h6r;case 835:return x6r;case 836:return y6r;case 837:return w6r;case 838:return g6r;case 839:return q6r;case 840:return I6r;case 841:return D6r;case 842:return E6r;case 843:return[0,qHe];case 844:return[0,gHe];case 845:return $6r;case 846:return T6r;case 847:return[0,[0,[2,bJ],N6r]];case 848:return F6r;case 849:return G6r;case 850:return U6r;case 851:return M6r;case 852:return[0,GJ];case 853:return P6r;case 854:return[0,[0,K6r,RJ]];case 855:return[0,RJ];case 856:return O6r;case 857:return[0,FJ];case 858:return R6r;case 859:return Q6r;case 860:return[0,[0,[2,bJ],C6r]];case 861:return L6r;case 862:return H6r;case 863:return[0,JLe];case 864:return[0,zLe];case 865:return V6r;case 866:return S6r;case 867:return z6r;case 868:return[0,lJ];default:return J6r}switch(n){case 798:return L3r;case 799:return H3r;case 800:return V3r;case 801:return[0,[0,[2,eQe],S3r]];case 802:return z3r;case 803:return J3r;case 804:return W3r;case 805:return Z3r;case 806:return X3r;case 807:return[0,[0,[2,MHe],Y3r]];case 808:return r6r;case 809:return n6r;case 810:return t6r;case 811:return[0,[0,[2,MHe],e6r]];case 812:return u6r;case 813:return[0,[0,[2,MHe],a6r]];case 814:return f6r;case 815:return[0,UJ];case 816:return i6r;case 817:return c6r;case 818:return[0,MJ];case 819:return o6r;case 820:return v6r;case 821:return[0,[0,[2,PJ],A6r]];case 822:return s6r;case 823:return b6r;case 824:return l6r;case 825:return[0,[0,B6r,KJ]];case 826:return[0,KJ];case 827:return j6r;case 828:return[0,[0,k6r,OJ]];case 829:return[0,OJ];case 830:return p6r;case 831:return d6r;case 832:return m6r;default:return _6r}}if(762<=n)switch(n){case 762:return c3r;case 763:return o3r;case 764:return v3r;case 765:return[0,[0,[2,MHe],A3r]];case 766:return s3r;case 767:return[0,[0,[2,MHe],b3r]];case 768:return l3r;case 769:return B3r;case 770:return j3r;case 771:return[0,[0,[2,MHe],k3r]];case 772:return p3r;case 773:return[0,[0,[2,MHe],d3r]];case 774:return m3r;case 775:return[0,[0,[2,MHe],_3r]];case 776:return h3r;case 777:return x3r;case 778:return y3r;case 779:return[0,[0,[2,MHe],w3r]];case 780:return g3r;case 781:return q3r;case 782:return I3r;case 783:return D3r;case 784:return E3r;case 785:return[0,[0,[2,MHe],$3r]];case 786:return T3r;case 787:return[0,[0,[2,MHe],N3r]];case 788:return F3r;case 789:return[0,[0,[2,MHe],G3r]];case 790:return U3r;case 791:return[0,[0,[2,MHe],M3r]];case 792:return P3r;case 793:return[0,[0,[2,MHe],K3r]];case 794:return O3r;case 795:return[0,[0,[2,MHe],R3r]];case 796:return Q3r;default:return[0,[0,[2,MHe],C3r]]}switch(n){case 725:return[0,[0,[2,MHe],w2r]];case 726:return g2r;case 727:return q2r;case 728:return I2r;case 729:return[0,[0,[2,MHe],D2r]];case 730:return E2r;case 731:return $2r;case 732:return T2r;case 733:return[0,[0,[2,MHe],N2r]];case 734:return F2r;case 735:return G2r;case 736:return U2r;case 737:return[0,[0,[2,MHe],M2r]];case 738:return P2r;case 739:return K2r;case 740:return O2r;case 741:return[0,[0,[2,MHe],R2r]];case 742:return Q2r;case 743:return[0,[0,[2,MHe],C2r]];case 744:return L2r;case 745:return H2r;case 746:return V2r;case 747:return[0,[0,[2,MHe],S2r]];case 748:return z2r;case 749:return J2r;case 750:return W2r;case 751:return[0,[0,[2,MHe],Z2r]];case 752:return X2r;case 753:return Y2r;case 754:return r3r;case 755:return[0,[0,[2,MHe],n3r]];case 756:return t3r;case 757:return e3r;case 758:return u3r;case 759:return[0,[0,[2,MHe],a3r]];case 760:return f3r;default:return i3r}}if(653<=n){if(689<=n)switch(n){case 689:return C1r;case 690:return[0,[0,[2,MHe],L1r]];case 691:return H1r;case 692:return[0,[0,[2,MHe],V1r]];case 693:return S1r;case 694:return[0,[0,[2,MHe],z1r]];case 695:return J1r;case 696:return[0,[0,[2,MHe],W1r]];case 697:return Z1r;case 698:return[0,[0,[2,MHe],X1r]];case 699:return Y1r;case 700:return[0,[0,[2,MHe],r2r]];case 701:return n2r;case 702:return[0,[0,[2,MHe],t2r]];case 703:return e2r;case 704:return[0,[0,[2,MHe],u2r]];case 705:return a2r;case 706:return f2r;case 707:return i2r;case 708:return c2r;case 709:return o2r;case 710:return v2r;case 711:return A2r;case 712:return s2r;case 713:return b2r;case 714:return l2r;case 715:return B2r;case 716:return[0,[0,[2,eQe],j2r]];case 717:return k2r;case 718:return p2r;case 719:return d2r;case 720:return m2r;case 721:return _2r;case 722:return h2r;case 723:return x2r;default:return y2r}switch(n){case 653:return i1r;case 654:return[0,[0,[2,MHe],c1r]];case 655:return o1r;case 656:return[0,[0,[2,MHe],v1r]];case 657:return A1r;case 658:return[0,[0,[2,MHe],s1r]];case 659:return b1r;case 660:return l1r;case 661:return B1r;case 662:return j1r;case 663:return k1r;case 664:return p1r;case 665:return d1r;case 666:return[0,[0,[2,MHe],m1r]];case 667:return _1r;case 668:return h1r;case 669:return x1r;case 670:return[0,[0,[2,MHe],y1r]];case 671:return w1r;case 672:return g1r;case 673:return q1r;case 674:return I1r;case 675:return D1r;case 676:return E1r;case 677:return $1r;case 678:return T1r;case 679:return N1r;case 680:return F1r;case 681:return G1r;case 682:return U1r;case 683:return M1r;case 684:return[0,[0,[2,MHe],P1r]];case 685:return K1r;case 686:return[0,[0,[2,MHe],O1r]];case 687:return R1r;default:return[0,[0,[2,MHe],Q1r]]}}if(617<=n)switch(n){case 617:return g0r;case 618:return[0,[0,[2,MHe],q0r]];case 619:return I0r;case 620:return[0,[0,[2,MHe],D0r]];case 621:return E0r;case 622:return[0,[0,[2,MHe],$0r]];case 623:return T0r;case 624:return N0r;case 625:return[0,[0,[2,bJ],F0r]];case 626:return G0r;case 627:return U0r;case 628:return M0r;case 629:return P0r;case 630:return K0r;case 631:return O0r;case 632:return[0,[0,[2,bJ],R0r]];case 633:return Q0r;case 634:return[0,[0,[2,bJ],C0r]];case 635:return L0r;case 636:return[0,LLe];case 637:return H0r;case 638:return V0r;case 639:return S0r;case 640:return[0,[0,[2,MHe],z0r]];case 641:return J0r;case 642:return W0r;case 643:return Z0r;case 644:return X0r;case 645:return Y0r;case 646:return[0,[0,[2,MHe],r1r]];case 647:return n1r;case 648:return[0,[0,[2,MHe],t1r]];case 649:return e1r;case 650:return[0,[0,[2,MHe],u1r]];case 651:return a1r;default:return[0,[0,[2,MHe],f1r]]}switch(n){case 580:return[0,[0,[2,bJ],WYr]];case 581:return[0,[0,[2,bJ],ZYr]];case 582:return[0,[0,[2,bJ],XYr]];case 583:return[0,[0,[2,BCe],YYr]];case 584:return r0r;case 585:return[0,[0,[2,CLe],n0r]];case 586:return[0,[0,t0r,THe]];case 587:return[0,THe];case 588:return[0,$He];case 589:return e0r;case 590:return[0,[0,[2,GCe],FHe]];case 591:return[0,FHe];case 592:return[0,NHe];case 593:return u0r;case 594:return a0r;case 595:return[0,UHe];case 596:return[0,GHe];case 597:return f0r;case 598:return i0r;case 599:return c0r;case 600:return o0r;case 601:return[0,[0,v0r,UJ]];case 602:return[0,[0,[2,bJ],A0r]];case 603:return s0r;case 604:return b0r;case 605:return l0r;case 606:return B0r;case 607:return j0r;case 608:return k0r;case 609:return[0,[0,[2,MHe],p0r]];case 610:return d0r;case 611:return m0r;case 612:return[0,[0,[2,MHe],_0r]];case 613:return h0r;case 614:return[0,[0,[2,MHe],x0r]];case 615:return y0r;default:return[0,[0,[2,MHe],w0r]]}}if(vq<=n){if(SK<=n){if(Ji<=n){if(544<=n)switch(n){case 544:return mYr;case 545:return _Yr;case 546:return[0,[0,[2,bJ],hYr]];case 547:return[0,[0,xYr,yHe]];case 548:return[0,yHe];case 549:return[0,xHe];case 550:return[0,[0,[2,bJ],yYr]];case 551:return[0,[0,wYr,wHe]];case 552:return[0,wHe];case 553:return gYr;case 554:return qYr;case 555:return IYr;case 556:return DYr;case 557:return[0,[0,[2,BCe],EYr]];case 558:return $Yr;case 559:return[0,[0,TYr,EHe]];case 560:return[0,EHe];case 561:return[0,DHe];case 562:return[0,IHe];case 563:return[0,[0,[2,bJ],NYr]];case 564:return[0,[0,[2,YLe],FYr]];case 565:return[0,[0,[2,YLe],GYr]];case 566:return UYr;case 567:return MYr;case 568:return PYr;case 569:return[0,[0,[2,BCe],KYr]];case 570:return OYr;case 571:return[0,[0,[2,bJ],RYr]];case 572:return QYr;case 573:return CYr;case 574:return LYr;case 575:return HYr;case 576:return VYr;case 577:return[0,[0,[2,bJ],SYr]];case 578:return[0,[0,[2,bJ],zYr]];default:return[0,[0,[2,bJ],JYr]]}switch(n){case 508:return[0,[0,fYr,cHe]];case 509:return[0,cHe];case 510:return[0,iHe];case 511:return[0,fHe];case 512:return[0,aHe];case 513:return iYr;case 514:return[0,[0,cYr,AHe]];case 515:return[0,AHe];case 516:return[0,vHe];case 517:return[0,oHe];case 518:return oYr;case 519:return[0,[0,vYr,lHe]];case 520:return[0,lHe];case 521:return[0,bHe];case 522:return[0,sHe];case 523:return AYr;case 524:return[0,tHe];case 525:return[0,nHe];case 526:return[0,rHe];case 527:return sYr;case 528:return bYr;case 529:return[0,kHe];case 530:return[0,jHe];case 531:return[0,BHe];case 532:return lYr;case 533:return[0,[0,BYr,mHe]];case 534:return[0,mHe];case 535:return[0,dHe];case 536:return[0,pHe];case 537:return jYr;case 538:return[0,[0,[2,GCe],hHe]];case 539:return[0,hHe];case 540:return[0,_He];case 541:return kYr;case 542:return pYr;default:return dYr}}if(jc<=n)switch(n){case 472:return[0,HLe];case 473:return UXr;case 474:return MXr;case 475:return[0,[0,[2,BCe],PXr]];case 476:return KXr;case 477:return OXr;case 478:return RXr;case 479:return[0,[0,[2,BCe],QXr]];case 480:return CXr;case 481:return[0,[0,[2,BCe],LXr]];case 482:return HXr;case 483:case 485:return[0,pCe];case 484:return VXr;case 486:return[0,[0,[2,GCe],SLe]];case 487:return[0,SLe];case 488:return[0,VLe];case 489:return[0,mJ];case 490:return[0,[0,SXr,XLe]];case 491:return[0,XLe];case 492:return[0,ZLe];case 493:return[0,WLe];case 494:return[0,[0,[2,YLe],zXr]];case 495:return[0,[0,[2,YLe],JXr]];case 496:return WXr;case 497:return ZXr;case 498:return[0,[0,[2,bJ],XXr]];case 499:return[0,[0,[2,bJ],YXr]];case 500:return[0,[0,rYr,FJ]];case 501:return[0,[0,nYr,GJ]];case 502:return tYr;case 503:return eYr;case 504:return uYr;case 505:return[0,[0,aYr,uHe]];case 506:return[0,uHe];default:return[0,eHe]}switch(n){case 435:return[0,wJ];case 436:return vXr;case 437:return[0,[0,[2,BCe],AXr]];case 438:return[0,[0,sXr,gJ]];case 439:return[0,[0,bXr,qJ]];case 440:return[0,OLe];case 441:return lXr;case 442:return[0,IJ];case 443:return[0,[0,BXr,QLe]];case 444:return[0,QLe];case 445:return[0,RLe];case 446:return jXr;case 447:return[0,[0,kXr,DJ]];case 448:return[0,DJ];case 449:return[0,[0,[2,bJ],pXr]];case 450:return[0,[0,[2,BCe],dXr]];case 451:return mXr;case 452:return _Xr;case 453:return hXr;case 454:return[0,[0,[2,BCe],xXr]];case 455:return[0,[0,[2,BCe],yXr]];case 456:return[0,[0,[2,BCe],wXr]];case 457:return[0,LLe];case 458:return gXr;case 459:return qXr;case 460:return IXr;case 461:return[0,[0,DXr,EJ]];case 462:return[0,[0,EXr,$J]];case 463:return[0,[0,[2,uQe],TJ]];case 464:return[0,TJ];case 465:return $Xr;case 466:return[0,$J];case 467:return TXr;case 468:return[0,EJ];case 469:return NXr;case 470:return[0,[0,FXr,NJ]];default:return[0,[0,GXr,HLe]]}}if(cE<=n){if(M<=n)switch(n){case 399:return SZr;case 400:return[0,[0,[2,GCe],ELe]];case 401:return[0,ELe];case 402:return[0,DLe];case 403:return zZr;case 404:return[0,gLe];case 405:return[0,wLe];case 406:return JZr;case 407:return[0,[0,WZr,TLe]];case 408:return[0,[0,ZZr,FLe]];case 409:return[0,FLe];case 410:return[0,NLe];case 411:return XZr;case 412:return[0,[0,[2,GCe],ULe]];case 413:return[0,ULe];case 414:return[0,GLe];case 415:return YZr;case 416:return[0,TLe];case 417:return[0,$Le];case 418:return rXr;case 419:return[0,[0,[2,Hz],MLe]];case 420:return[0,MLe];case 421:return nXr;case 422:case 424:return[0,pCe];case 423:return[0,[0,[2,AJ],tXr]];case 425:return[0,[0,[2,bJ],eXr]];case 426:return[0,[0,[2,bJ],uXr]];case 427:return[0,[0,aXr,KLe]];case 428:return[0,KLe];case 429:return[0,PLe];case 430:return[0,yJ];case 431:return fXr;case 432:return[0,[0,iXr,wJ]];case 433:return cXr;default:return oXr}switch(n){case 363:return[0,[0,[2,CCe],$Zr]];case 364:return TZr;case 365:return NZr;case 366:return FZr;case 367:return GZr;case 368:return[0,[0,UZr,bLe]];case 369:return[0,bLe];case 370:return[0,sLe];case 371:return[0,ALe];case 372:return MZr;case 373:return[0,[0,PZr,jLe]];case 374:return[0,jLe];case 375:return[0,BLe];case 376:return[0,lLe];case 377:return KZr;case 378:return[0,aLe];case 379:return[0,uLe];case 380:return[0,eLe];case 381:return[0,kLe];case 382:return[0,[0,OZr,mLe]];case 383:return[0,mLe];case 384:return[0,[0,RZr,hLe]];case 385:return[0,hLe];case 386:return[0,_Le];case 387:return QZr;case 388:return[0,[0,[2,GCe],yLe]];case 389:return[0,yLe];case 390:return[0,xLe];case 391:return CZr;case 392:return[0,dLe];case 393:return[0,pLe];case 394:return LZr;case 395:return[0,[0,HZr,gLe]];case 396:return[0,[0,VZr,ILe]];case 397:return[0,ILe];default:return[0,qLe]}}if(yN<=n)switch(n){case 327:return[0,ZCe];case 328:return AZr;case 329:return[0,WCe];case 330:return[0,JCe];case 331:return sZr;case 332:return bZr;case 333:return[0,[0,lZr,rLe]];case 334:return[0,[0,BZr,tLe]];case 335:return[0,tLe];case 336:return[0,nLe];case 337:return jZr;case 338:return[0,rLe];case 339:return[0,YCe];case 340:return kZr;case 341:return pZr;case 342:return dZr;case 343:return[0,VCe];case 344:return[0,HCe];case 345:return[0,QCe];case 346:return mZr;case 347:return _Zr;case 348:return hZr;case 349:return[0,[0,xZr,hJ]];case 350:return yZr;case 351:return wZr;case 352:return gZr;case 353:return[0,hJ];case 354:return qZr;case 355:return[0,[0,IZr,fLe]];case 356:return[0,fLe];case 357:return[0,[0,DZr,vLe]];case 358:return[0,vLe];case 359:return[0,oLe];case 360:return[0,cLe];case 361:return[0,iLe];default:return[0,[0,[2,CCe],EZr]]}switch(n){case 290:return QWr;case 291:return[0,[0,[2,BCe],CWr]];case 292:return[0,[0,[2,BCe],LWr]];case 293:return[0,pCe];case 294:return[0,[0,[2,bJ],HWr]];case 295:return[0,[0,[2,BCe],VWr]];case 296:return[0,[0,SWr,jJ]];case 297:return[0,[0,zWr,kJ]];case 298:return[0,kJ];case 299:return JWr;case 300:return WWr;case 301:return[0,[0,ZWr,DCe]];case 302:return XWr;case 303:return YWr;case 304:return rZr;case 305:return nZr;case 306:return tZr;case 307:return[0,DCe];case 308:return[0,ICe];case 309:return[0,[0,[2,XRe],ECe]];case 310:return[0,ECe];case 311:return[0,[0,eZr,$Ce]];case 312:return[0,$Ce];case 313:return uZr;case 314:return[0,[0,[2,bJ],NCe]];case 315:return[0,[0,aZr,FCe]];case 316:return[0,FCe];case 317:return[0,[0,fZr,RCe]];case 318:return[0,RCe];case 319:return iZr;case 320:return[0,OCe];case 321:return[0,[0,cZr,zCe]];case 322:return[0,zCe];case 323:return[0,SCe];case 324:return[0,[0,oZr,WCe]];case 325:return[0,[0,vZr,XCe]];default:return[0,XCe]}}if(Kl<=n){if(Zm<=n){if(Zi<=n)switch(n){case 254:return dWr;case 255:return[0,oJ];case 256:return mWr;case 257:return _Wr;case 258:return[0,[0,xWr,[0,[2,lCe],hWr]]];case 259:return[0,lCe];case 260:return[0,bCe];case 261:return[0,[0,[2,BCe],yWr]];case 262:return[0,[0,[2,BCe],wWr]];case 263:return gWr;case 264:return[0,[0,qWr,jCe]];case 265:return[0,jCe];case 266:return[0,[0,IWr,kCe]];case 267:return DWr;case 268:return EWr;case 269:return[0,pCe];case 270:return[0,[0,$Wr,mCe]];case 271:return[0,mCe];case 272:return[0,[0,[2,uQe],TWr]];case 273:return NWr;case 274:return[0,dCe];case 275:return[0,BJ];case 276:return[0,[0,FWr,hCe]];case 277:return[0,hCe];case 278:return[0,[0,GWr,wCe]];case 279:return[0,wCe];case 280:return[0,yCe];case 281:return[0,xCe];case 282:return UWr;case 283:return[0,_Ce];case 284:return MWr;case 285:return[0,[0,[2,bJ],qCe]];case 286:return[0,[0,[2,BCe],PWr]];case 287:return[0,[0,[2,BCe],KWr]];case 288:return[0,[0,[2,BCe],OWr]];default:return[0,[0,[2,BCe],RWr]]}switch(n){case 218:return QJr;case 219:return CJr;case 220:return LJr;case 221:return HJr;case 222:return[0,[0,[2,Lz],VJr]];case 223:return SJr;case 224:return zJr;case 225:return JJr;case 226:return WJr;case 227:return[0,[0,[2,ACe],ZJr]];case 228:return XJr;case 229:return[0,[0,[2,uQe],YJr]];case 230:return rWr;case 231:return nWr;case 232:return[0,Vz];case 233:return tWr;case 234:return[0,[0,eWr,iJ]];case 235:return uWr;case 236:return aWr;case 237:return[0,iJ];case 238:return fWr;case 239:return iWr;case 240:return[0,Cz];case 241:return cWr;case 242:return[0,[0,oWr,cJ]];case 243:return[0,cJ];case 244:return vWr;case 245:return AWr;case 246:return sWr;case 247:return bWr;case 248:return lWr;case 249:return BWr;case 250:return[0,Qz];case 251:return jWr;case 252:return[0,[0,kWr,oJ]];default:return pWr}}if($h<=n)switch(n){case 182:return mJr;case 183:return _Jr;case 184:return[0,Jz];case 185:return hJr;case 186:return[0,BQe];case 187:return[0,lQe];case 188:return[0,bQe];case 189:return[0,sQe];case 190:return xJr;case 191:return[0,AQe];case 192:return[0,vQe];case 193:return[0,oQe];case 194:return[0,cQe];case 195:return yJr;case 196:return[0,fQe];case 197:return[0,aQe];case 198:return wJr;case 199:return[0,[0,gJr,vCe]];case 200:return[0,vCe];case 201:return qJr;case 202:return IJr;case 203:return[0,[0,[2,uQe],DJr]];case 204:return EJr;case 205:return[0,[0,$Jr,fJ]];case 206:return[0,fJ];case 207:return TJr;case 208:return NJr;case 209:return[0,zz];case 210:return FJr;case 211:return GJr;case 212:return UJr;case 213:return MJr;case 214:return PJr;case 215:return[0,[0,[2,sCe],KJr]];case 216:return OJr;default:return RJr}switch(n){case 145:return Jzr;case 146:return[0,[0,Wzr,eJ]];case 147:return Zzr;case 148:return Xzr;case 149:return[0,eJ];case 150:return Yzr;case 151:return[0,Wz];case 152:return rJr;case 153:return nJr;case 154:return tJr;case 155:return eJr;case 156:return uJr;case 157:return[0,uJ];case 158:return aJr;case 159:return fJr;case 160:return iJr;case 161:return[0,[0,cJr,uJ]];case 162:return[0,[0,oJr,aJ]];case 163:return vJr;case 164:return AJr;case 165:return[0,aJ];case 166:return sJr;case 167:return bJr;case 168:return lJr;case 169:return BJr;case 170:return jJr;case 171:return kJr;case 172:return[0,xQe];case 173:return[0,hQe];case 174:return pJr;case 175:return[0,_Qe];case 176:return[0,mQe];case 177:return[0,dQe];case 178:return[0,pQe];case 179:return dJr;case 180:return[0,kQe];default:return[0,jQe]}}if(73<=n){if(F_<=n)switch(n){case 109:return Fzr;case 110:return[0,LQe];case 111:return[0,CQe];case 112:return Gzr;case 113:return[0,Yz];case 114:return Uzr;case 115:return[0,Xz];case 116:return Mzr;case 117:return[0,OQe];case 118:return[0,KQe];case 119:return Pzr;case 120:return[0,PQe];case 121:return[0,MQe];case 122:return[0,UQe];case 123:return[0,GQe];case 124:return Kzr;case 125:return Ozr;case 126:return[0,EQe];case 127:return Rzr;case 128:return[0,[0,Qzr,rCe]];case 129:return[0,[0,Czr,uCe]];case 130:return[0,[0,Lzr,cCe]];case 131:return[0,cCe];case 132:return[0,iCe];case 133:return[0,fCe];case 134:return[0,aCe];case 135:return Hzr;case 136:return[0,uCe];case 137:return[0,eCe];case 138:return[0,tCe];case 139:return[0,nCe];case 140:return Vzr;case 141:return[0,rCe];case 142:return Szr;case 143:return[0,[0,zzr,oCe]];default:return[0,oCe]}switch(n){case 73:return[0,WQe];case 74:return[0,[0,[2,tQe],izr]];case 75:return[0,[0,[2,tQe],czr]];case 76:return[0,[0,[2,DQe],ozr]];case 77:return vzr;case 78:return Azr;case 79:return szr;case 80:return[0,Sz];case 81:return[0,[0,bzr,rJ]];case 82:return lzr;case 83:return[0,[0,[2,eQe],Bzr]];case 84:return jzr;case 85:return kzr;case 86:return pzr;case 87:return dzr;case 88:return[0,[0,mzr,nJ]];case 89:return[0,nJ];case 90:return _zr;case 91:return hzr;case 92:return[0,[0,xzr,tJ]];case 93:return[0,[0,[2,uQe],yzr]];case 94:return wzr;case 95:return[0,[0,[2,uQe],gzr]];case 96:return qzr;case 97:return[0,tJ];case 98:return Izr;case 99:return[0,rJ];case 100:return Dzr;case 101:return Ezr;case 102:return $zr;case 103:return Tzr;case 104:return Nzr;case 105:return[0,JQe];case 106:return[0,zQe];case 107:return[0,SQe];default:return[0,VQe]}}if(37<=n)switch(n){case 37:return[0,wQe];case 38:return[0,yQe];case 39:case 46:return[0,gQe];case 40:return[0,[0,LSr,IQe]];case 41:return[0,IQe];case 42:return[0,qQe];case 43:return HSr;case 44:return VSr;case 45:return[0,[0,[2,DQe],SSr]];case 47:return[0,[0,zSr,$Qe]];case 48:return[0,$Qe];case 49:return[0,[0,JSr,FQe]];case 50:return[0,[0,WSr,Zz]];case 51:return[0,Zz];case 52:return ZSr;case 53:return[0,FQe];case 54:return[0,NQe];case 55:return[0,TQe];case 56:return[0,[0,[2,DQe],XSr]];case 57:return YSr;case 58:return[0,[0,rzr,PQe]];case 59:return[0,[0,nzr,QQe]];case 60:return[0,QQe];case 61:return[0,RQe];case 62:return[0,[0,[2,uQe],Xz]];case 63:return[0,[0,[2,uQe],Yz]];case 64:return tzr;case 65:return[0,[0,ezr,HQe]];case 66:return[0,HQe];case 67:return[0,[0,uzr,JQe]];case 68:return[0,[0,azr,YQe]];case 69:return[0,YQe];case 70:return[0,XQe];case 71:return fzr;default:return[0,ZQe]}switch(n){case 0:return[0,[0,oSr,[0,[2,ZRe],cSr]]];case 1:return[0,ZRe];case 2:return vSr;case 3:return ASr;case 4:return sSr;case 5:return bSr;case 6:return lSr;case 7:return[0,[0,BSr,Cz]];case 8:return[0,[0,[2,Lz],jSr]];case 9:return kSr;case 10:return pSr;case 11:return dSr;case 12:return mSr;case 13:return[0,[0,[2,Lz],_Sr]];case 14:return hSr;case 15:return[0,[0,[2,YRe],xSr]];case 16:return[0,[0,ySr,Vz]];case 17:return wSr;case 18:return gSr;case 19:return qSr;case 20:return[0,[0,[2,uQe],ISr]];case 21:return[0,[0,[2,nQe],DSr]];case 22:return[0,[0,[2,nQe],ESr]];case 23:return[0,[0,$Sr,zz]];case 24:return[0,[0,TSr,iQe]];case 25:return NSr;case 26:return FSr;case 27:return GSr;case 28:return[0,iQe];case 29:return[0,[0,USr,AQe]];case 30:return[0,[0,MSr,BQe]];case 31:return[0,[0,KSr,[0,PSr,Jz]]];case 32:return OSr;case 33:return[0,[0,[2,uQe],RSr]];case 34:return[0,[0,[2,nQe],kQe]];case 35:return[0,[0,QSr,_Qe]];default:return[0,[0,CSr,wQe]]}}function w3e(r,n){var t=r;if(66<=t){if(99<=t)switch(t){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return Sq;case 108:return Oq;case 109:return XP;case 110:return hQ;case 111:return[6,n];case 112:return jB;case 113:return Qo;case 114:return CR;case 115:return AA;case 116:return[7,n];case 117:return Ud;case 118:return F_;case 119:return EP;case 120:return qN;case 121:return SO;case 122:return $A;case 123:return bN;case 124:return bB;case 125:return KK;case 126:return sm;case 127:return zb;case 128:return Gq;case 129:return Ib;default:return Tp}switch(t){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return[3,n];case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return[4,n];case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return[5,n]}}if(33<=t)switch(t){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return[1,n];case 57:return 54;case 58:return 55;case 59:return 56;case 60:return[2,n];case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(t){case 0:throw LQ([0,mS,iSr],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return[0,n];case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}}function g3e(r){var n=r;if(66<=n){if(99<=n)switch(n){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return Sq;case 108:return Oq;case 109:return XP;case 110:return hQ;case 111:return htn;case 112:return jB;case 113:return Qo;case 114:return CR;case 115:return AA;case 116:return xtn;case 117:return Ud;case 118:return F_;case 119:return EP;case 120:return qN;case 121:return SO;case 122:return $A;case 123:return bN;case 124:return bB;case 125:return KK;case 126:return sm;case 127:return zb;case 128:return Gq;case 129:return Ib;default:return Tp}switch(n){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return dtn;case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return mtn;case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return _tn}}if(33<=n)switch(n){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return ktn;case 57:return 54;case 58:return 55;case 59:return 56;case 60:return ptn;case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(n){case 0:throw LQ([0,mS,Btn],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return jtn;case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}}function q3e(r){return r[1]}function I3e(r){return g1(Qtn,D0(lSe,r))}function D3e(r){var n=g1(Otn,D0(lSe,r)),t=g1(Rtn,D0(_Se,r));return 0===fL(n,t)?n:n+" (e.g. 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1:return 1;default:return 2}switch(n[0]){case 1:var f=n[1],i=D0(t,n[2]);return[1,u(f),i];case 3:return[3,n[1],D0(function(r){return a(r)},n[2]),0];case 4:return[4,D0(a,n[1])];case 5:return[5,t(n[1])];case 6:return[6,t(n[1])];case 7:return[7,D0(t,n[1])];case 8:var c=n[4],o=n[3],v=n[2],A=n[1],s=D0(t,n[5]),b=D0(t,c);return[8,A,v,D0(e,o),b,s];case 9:var l=n[2],B=n[1],j=t(n[3]);return[9,B,t(l),j];case 10:return[10,t(n[1])];case 11:n=n[2];break;case 12:return[12,t(n[1])];default:return n}}}function e(r){var n=t(r[3]);return[0,r[1],r[2],n]}function u(r){var u=Sye(r);if(0===u[0]&&!u[1]){var a=u[2];if("number"!=typeof a&&2===a[0])return r}var f=D0e[29].call(null,r,n[1]);if(f)return f[1];var i=Vye(r,mln);n[1]=D0e[4].call(null,r,i,n[1]);var c=Sye(r);if(0===c[0])var o=c[1],v=t(c[2]),A=[0,D0(e,o),v];else{var s=c[1],b=t(c[2]);A=[1,D0(e,s),b]}return pwe(i,A),i}function a(r){var n=r[3];return[0,r[1],t(r[2]),n]}function f(r){var n=VZ[4],e=VZ[3],u=r[3][2],a=[0,t(r[3][1]),u,e,n],s=r[2];switch(s[0]){case 0:var l=s[1],B=l[1],j=D0(f,l[2]),k=[0,[0,wJe(t,function(r){return r},B),j]];break;case 3:var p=s[1],d=f(s[2]);k=[3,c(p),d];break;case 4:var m=s[1],_=m[1],h=f(m[2]);k=[4,[0,D0(o,_),h]];break;case 5:var x=s[2],y=s[1],w=f(s[3]),g=f(x);k=[5,f(y),g,w];break;case 6:var q=s[1],I=D0(i,s[2]);k=[6,f(q),I];break;case 7:k=[7,f(s[1])];break;case 8:var D=s[2],E=s[1],$=f(s[3]);k=[8,E,t(D),$];break;case 9:var T=s[3],N=s[2],F=s[1],G=t(s[4]),U=f(T);k=[9,F,b(N),U,G];break;case 10:var M=s[2],P=s[1],K=f(s[3]);k=[10,P,t(M),K];break;case 11:var O=s[2];k=[11,s[1],O,f(s[3])];break;case 12:var R=s[6],Q=s[5],C=s[4],L=s[3],H=s[2],V=s[1],S=f(s[7]),z=D0(t,R),J=D0(A,Q);k=[12,V,H,L,D0(b,C),J,z,S];break;case 13:throw LQ([0,mS,_ln],1);case 14:var W=s[3],Z=W[9],X=W[8],Y=W[7],rr=W[6],nr=W[5],tr=W[4],er=W[3],ur=W[2],ar=W[1],fr=s[2],ir=s[1],cr=t(s[4]),or=t(Z[2]),vr=[0,t(Z[1]),or],Ar=f(X),sr=f(Y),br=f(rr),lr=f(nr),Br=f(tr),jr=f(er),kr=[0,ar,f(ur),jr,Br,lr,br,sr,Ar,vr],pr=v(fr);k=[14,D0(o,ir),pr,kr,cr];break;case 15:var dr=s[2],mr=s[1],_r=t(s[3]);k=[15,mr,v(dr),_r];break;case 16:var hr=s[3],xr=s[1],yr=D0(i,s[2]);k=[16,f(xr),yr,hr];break;default:k=s}return[0,r[1],k,a]}function i(r){var n=r[2],t=n[1],e=r[1],u=r[3],a=f(n[2]);return[0,e,[0,s(t),a],u]}function c(r){var n=t(r[3]),e=r[2];switch(e[0]){case 0:var u=e;break;case 1:var a=e[1],i=f(e[2]);u=[1,f(a),i];break;default:var c=e[2];u=[2,f(e[1]),c]}return[0,r[1],u,n]}function o(r){var n=r[2],e=r[3];switch(n[0]){case 0:var u=n[1],a=f(n[2]),i=[0,s(u),a];break;case 1:var o=n[2],v=n[1],A=f(n[3]);i=[1,v,t(o),A];break;default:var b=n[2],l=n[1],B=c(n[3]);i=[2,l,t(b),B]}return[0,r[1],i,e]}function v(r){return D0(function(r){var n=t(r[3]);return[0,r[1],r[2],n]},r)}function A(r){var n=t(r[3]);return[0,r[1],r[2],n]}function s(r){var n=t(r[3]),e=r[2];r:{if("number"!=typeof e)switch(e[0]){case 2:var u=[2,D0(s,e[1])];break r;case 3:u=[3,xJe(s,e[1])];break r;case 4:u=[4,s(e[1])];break r;case 5:u=[5,e[1],s(e[2])];break r;case 6:var a=e[1],f=s(e[2]);u=[6,s(a),f];break 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c=t[4],o=t[5],v=c[9],A=c[8],s=c[7],b=c[6],l=c[5],B=c[4],j=c[3],k=c[2],p=c[1],d=t[3],m=t[2],_=t[1],h=$0e(),x=R0e(h,m),y=K0e(h,k),w=K0e(h,j),g=K0e(h,B),q=K0e(h,l),I=K0e(h,b),D=K0e(h,s),E=K0e(h,A);i=[2,_,xY(P0e(h[1][1]),x),d,[0,p,y,w,g,q,I,D,E,v],o]}return[0,i,e]}function G3e(r){var n=r[2],t=r[1],e=e1e[1],u=[0,n[1],n[2],0,n[4],n[5]];switch(t[0]){case 0:throw LQ([0,lS,BBn],1);case 1:var a=t[1];if(cWe(lWe,a))var f=Y0e(YS),i=e1e[4].call(null,1,[0,f],e),c=e1e[4].call(null,2,[0,[0,jBn,EZe]],i),o=dWe(kBn,vz),v=r1e(YS,function(r){return eZe(0)}),A=[0,pZe(l1e(c,a,eZe(0),v)),0],s=[1,[0,gZe(f,o,IWe(zWe())),A]];else s=[1,v1e(e,a)];break;default:var 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y2e(ir,fr,r,n,t)},or=E7e(r,i);C=_(t,function(r,n,t){return y2e(or,cr,r,n,t)});break;case 15:C=_(t,w());break;case 16:var vr=Y6e(r,eUn),Ar=r[28][1],sr=vr[2],br=vr[1];if(!Ar)throw LQ([0,mS,Fst],1);var lr=[6,[0,Wle,eS(Ar[1],0)]],Br=function(r,n,t){return w2e(lr,0,n,t)},jr=function(r,n,t){return y2e(sr,Br,r,n,t)},kr=function(r,n,t){return y2e(K6e,jr,r,n,t)},pr=function(r,n,t){return y2e(br,kr,r,n,t)},dr=x(),mr=function(r,n,t){return y2e(dr,pr,r,n,t)};C=q(n,gnu,function(t){var e=d(BGn),u=b(n),a=p6e(1,mr,function(r,n,t){return y2e(u,e,r,n,t)}),f=J6e(jGn);function i(r,n,t){return y2e(f,a,r,n,t)}var c=g7e(r,t);return function(r,n,t){return y2e(c,i,r,n,t)}});break;case 17:break n;case 18:var _r=[0,y(2),0];C=_(t,h([0,_6e(r,uUn),_r]));break;case 19:C=T(r,aUn,function(n,t){var e=Y6e(r,VFn),u=e[2],a=e[1],f=b6e(r)(z0n,S0n),c=x();function o(r,n,t){return y2e(c,f,r,n,t)}var v=E7e(r,i);function A(r,n,t){return y2e(v,o,r,n,t)}var s=$7e(r,i);function b(r,n,t){return y2e(s,A,r,n,t)}function 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y2e(Tr,$r,r,n,t)},Fr=q7e(r,i,M6e(k5n));C=_(t,function(r,n,t){return y2e(Fr,Nr,r,n,y2e(Dr,Ir,r,n,t))});break;default:var Gr=l7e(0,Q),Ur=e7e(Q),Mr=function(r,n,t){return y2e(Ur,Gr,r,n,t)},Pr=D7e(r,i);C=_(t,function(r,n,t){return y2e(Pr,Mr,r,n,t)})}K=C;break r;case 3:switch(t[1]){case 1:var Kr=d(fUn),Or=b(n),Rr=p6e(1,q(n,-23,function(r){return g()}),function(r,n,t){return y2e(Or,Kr,r,n,t)}),Qr=L4e(1),Cr=Nnu(r,t),Lr=p6e(1,function(r,t,e){return y2e(n,Cr,r,t,e)},Qr),Hr=function(r,n,t){return y2e(Lr,Rr,r,n,t)},Vr=function(r,n,t){return y2e(a,Hr,r,n,t)};break;case 2:case 3:break n;default:var Sr=t[2];Vr=I(function(n,t){var e=Y6e(r,CFn),u=e[2],a=e[1],f=b6e(r)(HFn,LFn);function o(r,n,e){return y2e(t,f,r,n,e)}function v(r,n,t){return y2e(c,o,r,n,t)}function A(r,n,t){return y2e(i,v,r,n,t)}function b(r,t,e){return y2e(n,A,r,t,e)}var l=P8e(r,D0(function(e){var f=e[2],o=e[1];return[0,f[1],function(e){var v=Swe(f[2]);t:{e:{if("number"==typeof v){if(0!==v)break e}else switch(v[0]){case 2:if(v[1])break 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y2e(rn,a,r,n,t)}function c(r,n,t){return y2e(un,f,r,n,t)}var o=B9e(r,0,rn);function v(r,n,t){return y2e(o,c,r,n,t)}var A=hnu(r);function b(r,n,t){return y2e(A,v,r,n,t)}function l(r,n,t){return y2e(rn,b,r,n,t)}var B=H4e(0);function j(r,n,t){return y2e(B,l,r,n,t)}function k(r,n,t){return y2e(nn,j,r,n,t)}var d=w7e(r,i);function m(r,n,t){return y2e(d,k,r,n,t)}function _(r,n,t){return y2e(An,m,r,n,t)}var h=g7e(r,n);return function(r,n,t){return y2e(h,_,r,n,t)}})}else var sn=Xr[1],bn=T(r,[5,[10,sn]],function(n,t){var e=Y6e(r,gFn),u=e[2],a=e[1],f=Y6e(r,qFn),c=f[2],o=f[1],v=Y6e(r,IFn),A=v[2],b=v[1],l=Y6e(r,DFn),B=l[2],j=l[1];function k(r,n,t){return w2e(2,0,n,t)}var d=k5e(r);function m(r,n,t){return y2e(d,k,r,n,t)}function _(r,n,t){return y2e(c,m,r,n,t)}var h=t4e(r,function(n){var t=i3e[6];function e(r,n,e){return y2e(A,t,r,n,e)}var u=p(A);function a(r,n,t){return y2e(u,e,r,n,t)}function f(r,n,t){return y2e(b,a,r,n,t)}var i=s(0,r,sn);function o(r,n,t){return y2e(i,f,r,n,t)}function v(r,n,t){return y2e(B,o,r,n,t)}var l=s9e(r);function j(r,n,t){return y2e(l,v,r,n,t)}function k(r,t,e){return y2e(n,j,r,t,e)}return function(r,n,t){return y2e(c,k,r,n,t)}});function x(r,n,t){return y2e(h,_,r,n,t)}function y(r,n,t){return y2e(u,x,r,n,t)}var w=eS(t,c);function g(r,n,t){return y2e(w,y,r,n,t)}function I(r,n,t){return y2e(o,g,r,n,t)}var D=B9e(r,1,u);function E(r,n,t){return y2e(D,I,r,n,t)}function $(r,n,t){return y2e(a,E,r,n,t)}var T=w7e(r,i);function N(r,n,t){return y2e(T,$,r,n,t)}function F(r,n,t){return y2e(j,N,r,n,t)}var G=q(n,gnu,function(n){return g7e(r,n)});return function(r,n,t){return y2e(G,F,r,n,t)}});K=bn;break r;case 6:var ln=t[1],Bn=Y6e(r,sUn),jn=Bn[2],kn=Bn[1],pn=p6e(1,o5e,D5e(r,ln,jn)),dn=J6e(bX),mn=function(r,n,t){return y2e(dn,pn,r,n,t)},_n=function(r,n,t){return y2e(jn,mn,r,n,t)},hn=function(r,n,t){return y2e(kn,_n,r,n,t)},xn=s(1,r,ln),yn=function(r,n,t){return y2e(xn,hn,r,n,t)},wn=Y6e(r,bUn),gn=wn[2],qn=wn[1],In=Y6e(r,lUn),Dn=In[2],En=In[1],$n=p6e(1,o5e,D5e(r,ln,Dn)),Tn=J6e(bX),Nn=function(r,n,t){return y2e(Tn,$n,r,n,t)},Fn=function(r,n,t){return y2e(Dn,Nn,r,n,t)},Gn=function(r,n,t){return y2e(En,Fn,r,n,t)},Un=s(1,r,ln),Mn=function(r,n,t){return y2e(Un,Gn,r,n,t)},Pn=h([0,o5e,[0,function(r,n,t){return y2e(gn,Mn,r,n,t)},0]]),Kn=function(r,n,t){return y2e(qn,Pn,r,n,t)},On=q(n,-18,function(n){return g7e(r,n)}),Rn=p6e(1,function(r,n,t){return y2e(On,Kn,r,n,t)},function(r,t,e){return y2e(n,yn,r,t,e)}),Qn=M6e(wGn),Cn=p6e(1,T4e(r,_X,mX,function(t){var e=J6e(iH(-18)),u=g7e(r,t);function a(r,n,t){return y2e(u,e,r,n,t)}var f=h7e(t,m7e(i)),o=i3e[3];function v(r,n,t){return w2e(yGn,0,n,o(r,n,t))}var A=H6e(yX);function s(r,n,t){return y2e(A,v,r,n,t)}function b(r,t,e){return y2e(n,s,r,t,e)}function l(r,n,t){return y2e(f,a,r,n,t)}var B=_7e(t,function(r,n,t){return y2e(c,b,r,n,t)});return function(r,n,t){return 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y2e(n,xr,r,t,e)}});break;case 7:var ir=u7e(u),cr=function(r,n,t){return w2e(Iqn,0,n,ir(r,n,t))},or=n7e(u),vr=function(r,n,t){return y2e(or,cr,r,n,t)},Ar=t7e(u);fr=function(r,n,t){return y2e(Ar,vr,r,n,t)};break;case 13:fr=l4e(1,r,O2e(u,Y5n),n7n,r7n,function(r,n,t){switch(u){case 3:case 8:var e=3;break;case 4:case 9:e=4;break;case 5:case 10:e=5;break;case 6:case 11:e=6;break;default:throw LQ([0,mS,M7n],1)}var a=b7e(r,e);function f(r,n,e){return y2e(t,a,r,n,e)}function i(r,t,e){return y2e(n,f,r,t,e)}var c=x6e(r,Z5n);function o(r,n,t){return y2e(c,i,r,n,t)}var v=N6e(8);function A(r,n,t){return y2e(v,o,r,n,t)}var s=M6e(X5n);function b(r,n,t){return y2e(s,A,r,n,t)}return function(r,n,e){return y2e(t,b,r,n,e)}});break;default:a=l4e(0,r,O2e(u,"div"),Eqn,Dqn,function(r,n,t){var e=Y6e(r,Jwn),a=e[2],f=e[1],i=d6e(r,Wwn,function(r,n,t){return w2e(0,0,n,t)},a),c=J6e(Zwn);function o(r,n,t){return y2e(c,i,r,n,t)}var v=t7e(u);function A(r,n,t){return y2e(v,o,r,n,t)}var 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cf=Xa[1],of=Xa[2],vf=yeu(r,n,cf,Wa),Af=function(r,n,t){return y2e(vf,of,r,n,t)},sf=yeu(r,n,cf,Za);return[0,0,function(r,n,t){return y2e(sf,Af,r,n,t)}];case 4:if(!f)break r;if(f[2])break r;var bf=f[1],lf=d9e(0,iH(a[1])),jf=geu(r,n,bf);return[0,0,function(r,n,t){return y2e(jf,lf,r,n,t)}];case 5:if(!f)break r;if(f[2])break r;var kf=a[1];return[0,0,G5e(r,kf,geu(r,n,f[1]))];case 6:if(!f)break r;if(f[2])break r;var pf=f[1],df=a[1],mf=xeu(r,n,pf),_f=mf[2],hf=mf[1];if("number"!=typeof hf&&2===hf[0]){var wf=hf[1];if("number"!=typeof wf&&2===wf[0])return[0,[2,H0(df,wf[1])],_f]}var gf=Q8e(r,pf[3][1],df),qf=Dru(r,hf,0),If=function(r,n,t){return y2e(qf,gf,r,n,t)};return[0,0,function(r,n,t){return y2e(_f,If,r,n,t)}];case 7:if(!f)break r;if(f[2])break r;var $f=f[1],Tf=L9e(r,a[1]),Nf=geu(r,n,$f);return[0,0,function(r,n,t){return y2e(Nf,Tf,r,n,t)}];case 8:var Ff=a[1],Gf=D0(function(t){return geu(r,n,t)},f);return[0,0,b9e(r,1===Ff?1:0,Gf)];case 9:if(!f)break r;if(f[2])break r;var Uf=a[1],Mf=f[1],Pf=$ru[29].call(null,Uf,n[3]);if(!Pf)throw LQ([0,C2e,eS(I6(cOn),Uf)],1);var Kf=Pf[1],Of=function(r,n,t){return U2e(Kf,r,n,t)},Rf=geu(r,n,Mf);return[0,3,function(r,n,t){return y2e(Rf,Of,r,n,t)}];case 12:if(!f)break r;if(f[2])break r;var Cf=f[1],Lf=a[1],Hf=l4e(0,r,a2n,u2n,e2n,function(r,n,t){var e=Y6e(r,t2n),u=e[2],a=e[1],f=w4e();function i(r,n,t){return y2e(f,u,r,n,t)}function c(r,n,e){return y2e(t,i,r,n,e)}function o(r,t,e){return y2e(n,c,r,t,e)}var v=y8e();function A(r,n,t){return y2e(v,o,r,n,t)}function s(r,n,t){return y2e(u,A,r,n,t)}function b(r,n,t){return y2e(a,s,r,n,t)}var l=x8e(r,0,t);return function(r,n,t){return y2e(l,b,r,n,t)}}),Vf=Gnu(r,Lf),Sf=function(r,n,t){return y2e(Vf,Hf,r,n,t)},zf=geu(r,n,Cf);return[0,0,function(r,n,t){return y2e(zf,Sf,r,n,t)}];case 13:if(!f)break r;if(f[2])break r;var Jf=a[1],Wf=f[1],Zf=Unu(0,r,Jf),Xf=L4e(0),Yf=function(r,n,t){return y2e(Xf,Zf,r,n,t)},ri=geu(r,n,Wf);return[0,_ru(d0(Jf)),function(r,n,t){return y2e(ri,Yf,r,n,t)}];case 14:if(!f)break r;if(f[2])break r;var ni=a[1],ti=f[1];if(ni){if(ni[2])var ei=d0(ni),ui=eS(I6(Lpn),ei),ai=A4e(0,r,ui,Tje(ei,function(r){return[0,eS(I6(Apn),r),1]}),Hpn,function(r,n){var t=Tje(ei,function(r){return h0(n,r)});return function n(e){if(!e)return D5e(r,[7,ni],b9e(r,2,t));var u=e[1],a=p6e(1,o5e,n(e[2])),f=J6e(bX);function i(r,n,t){return y2e(f,a,r,n,t)}return function(r,n,t){return y2e(u,i,r,n,t)}}(t)});else{var fi=ni[1],ii=Y6e(r,Vpn),ci=ii[2],oi=ii[1],vi=p6e(1,o5e,D5e(r,fi,ci)),Ai=J6e(bX),si=function(r,n,t){return y2e(Ai,vi,r,n,t)},bi=function(r,n,t){return y2e(ci,si,r,n,t)};ai=function(r,n,t){return y2e(oi,bi,r,n,t)}}var Bi=ai}else Bi=D5e(r,YS,M6e(M3e));var ji=Unu(0,r,ni),ki=function(r,n,t){return y2e(ji,Bi,r,n,t)},pi=L4e(1),di=function(r,n,t){return y2e(pi,ki,r,n,t)},mi=geu(r,n,ti);return[0,0,function(r,n,t){return y2e(mi,di,r,n,t)}];case 15:if(!f)break r;if(f[2])break r;var _i=f[1],hi=a[2],xi=a[1];n:{t:{e:{u:{a:{f:{switch(xi){case 2:if(6<=hi){if(7<=hi)break n;var yi=b4e(1,r,Jpn,zpn,Spn,function(r,n){var t=j8e(r);function e(r,e,u){return y2e(n,t,r,e,u)}var u=x6e(r,vpn);function a(r,n,t){return y2e(u,e,r,n,t)}var f=A8e(r,64);function i(r,n,t){return y2e(f,a,r,n,t)}return function(r,t,e){return y2e(n,i,r,t,e)}}),wi=geu(r,n,_i);return[0,Wpn,function(r,n,t){return y2e(wi,yi,r,n,t)}]}if(3>hi)break n;var gi=b4e(1,r,O2e(hi,Ypn),Xpn,Zpn,function(r,n){var t=e7e(hi),e=k8e(r);function u(r,n,u){return y2e(e,t,r,n,u)}function a(r,t,e){return y2e(n,u,r,t,e)}var f=x6e(r,opn);function i(r,n,t){return y2e(f,a,r,n,t)}var c=A8e(r,J5e(hi));function o(r,n,t){return y2e(c,i,r,n,t)}return function(r,t,e){return y2e(n,o,r,t,e)}}),qi=geu(r,n,_i);return[0,hru([2,hi]),function(r,n,t){return y2e(qi,gi,r,n,t)}];case 3:if(4===hi)break t;break e;case 4:var Ii=hi-3|0;if(2>>0)break e;switch(Ii){case 0:break u;case 1:break e;default:break t}case 5:var Di=hi-4|0;if(10>>0)break e;switch(Di){case 0:break u;case 2:break t;case 10:var Ei=A7e(r),$i=t7e(5),Ti=function(r,n,t){return y2e($i,Ei,r,n,t)},Ni=yeu(r,n,rdn,_i);return[0,ndn,function(r,n,t){return y2e(Ni,Ti,r,n,t)}];default:break e}case 6:if(2===hi){var Fi=B8e(r),Gi=yeu(r,n,tdn,_i);return[0,0,function(r,n,t){return y2e(Gi,Fi,r,n,t)}]}if(5===hi)break u;break n;case 7:if(8<=hi)switch(hi-8|0){case 3:var Ui=b4e(1,r,adn,udn,edn,function(r,n){var t=j8e(r);function e(r,e,u){return y2e(n,t,r,e,u)}var u=x6e(r,cpn);function a(r,n,t){return y2e(u,e,r,n,t)}var f=s8e(r,64);function i(r,n,t){return y2e(f,a,r,n,t)}return function(r,t,e){return y2e(n,i,r,t,e)}}),Mi=geu(r,n,_i);return[0,fdn,function(r,n,t){return y2e(Mi,Ui,r,n,t)}];case 4:var Pi=Y6e(r,idn),Ki=Pi[2],Oi=Pi[1],Ri=b6e(r)(odn,cdn),Qi=function(r,n,t){return w2e(vdn,0,n,t)},Ci=f5e(0,0,7),Li=function(r,n,t){return y2e(Ci,Qi,r,n,t)},Hi=X4e(r,Adn,function(r,n,t){return y2e(Ki,Li,r,n,t)},function(r,n,t){return y2e(Ki,Ri,r,n,t)}),Vi=function(r,n,t){return y2e(Ki,Hi,r,n,t)},Si=function(r,n,t){return y2e(Oi,Vi,r,n,t)},zi=geu(r,n,_i);return[0,1,function(r,n,t){return y2e(zi,Si,r,n,t)}];case 0:case 1:case 2:var Ji=b4e(1,r,O2e(hi,ldn),bdn,sdn,function(r,n){var t=e7e(hi),e=k8e(r);function u(r,n,u){return y2e(e,t,r,n,u)}function a(r,t,e){return y2e(n,u,r,t,e)}var f=x6e(r,ipn);function i(r,n,t){return y2e(f,a,r,n,t)}var c=s8e(r,J5e(hi));function o(r,n,t){return y2e(c,i,r,n,t)}return function(r,t,e){return y2e(n,o,r,t,e)}}),Wi=geu(r,n,_i);return[0,hru([2,hi]),function(r,n,t){return y2e(Wi,Ji,r,n,t)}];default:break n}break n;case 8:if(9===hi)break a;break f;case 9:var Zi=hi-8|0;if(2>>0)break f;switch(Zi){case 0:break;case 1:break f;default:break a}break;case 10:var Xi=hi-9|0;if(2>>0)break f;switch(Xi){case 0:break;case 1:break f;default:break a}break;case 11:var Yi=hi-7|0;if(5>>0)break n;switch(Yi){case 0:var rc=l8e(r),nc=yeu(r,n,Bdn,_i);return[0,0,function(r,n,t){return y2e(nc,rc,r,n,t)}];case 3:break;case 5:var tc=function(r,n,t){return w2e(jdn,0,n,t)},ec=yeu(r,n,kdn,_i);return[0,1,function(r,n,t){return y2e(ec,tc,r,n,t)}];default:break n}break;case 12:var uc=hi-7|0;if(6>>0)break n;switch(uc){case 0:var ac=b6e(r)(ddn,pdn),fc=yeu(r,n,1,_i);return[0,0,function(r,n,t){return y2e(fc,ac,r,n,t)}];case 4:var ic=function(r,n,t){return w2e(mdn,0,n,t)},cc=yeu(r,n,1,_i);return[0,_dn,function(r,n,t){return y2e(cc,ic,r,n,t)}];case 6:var vc=function(r,n,t){return w2e(hdn,0,n,t)},Ac=yeu(r,n,1,_i);return[0,2,function(r,n,t){return y2e(Ac,vc,r,n,t)}];default:break n}case 13:if(12!==hi)break n;var sc=function(r,n,t){return w2e(xdn,0,n,t)},bc=yeu(r,n,2,_i);return[0,1,function(r,n,t){return y2e(bc,sc,r,n,t)}];default:break n}var lc=J5e(hi),Bc=Y6e(r,qdn),jc=Bc[2],kc=Bc[1],pc=R6e(L6e,iH(lc)),dc=function(r,n,t){return y2e(jc,pc,r,n,t)},mc=x6e(r,Idn),_c=function(r,n,t){return y2e(mc,dc,r,n,t)},hc=meu(r)([2,xi]),xc=function(r,n,t){return y2e(hc,_c,r,n,t)},yc=function(r,n,t){return y2e(jc,xc,r,n,t)},wc=R6e(C6e,iH(lc)),gc=function(r,n,t){return y2e(wc,yc,r,n,t)},qc=R6e(L6e,iH(lc)),Dc=function(r,n,t){return y2e(qc,gc,r,n,t)},Ec=function(r,n,t){return y2e(jc,Dc,r,n,t)},$c=function(r,n,t){return y2e(kc,Ec,r,n,t)},Tc=yeu(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return y2e(Tc,$c,r,n,t)}]}if(7!==hi)break n;var Nc=Z5e(xi),Fc=l8e(r),Gc=R6e(C6e,Nc),Uc=function(r,n,t){return y2e(Gc,Fc,r,n,t)},Mc=yeu(r,n,[1,xi],_i);return[0,0,function(r,n,t){return y2e(Mc,Uc,r,n,t)}]}var Pc=e7e(hi),Oc=t7e(xi),Rc=function(r,n,t){return y2e(Oc,Pc,r,n,t)},Qc=yeu(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return y2e(Qc,Rc,r,n,t)}]}var Cc=J5e(hi),Lc=Y6e(r,wdn),Hc=Lc[2],Vc=Lc[1],Sc=R6e(L6e,iH(Cc)),zc=function(r,n,t){return y2e(Hc,Sc,r,n,t)},Jc=h6e(r,gdn),Wc=function(r,n,t){return y2e(Jc,zc,r,n,t)},Zc=R6e(Q6e,iH(64-Cc|0)),Xc=function(r,n,t){return y2e(Zc,Wc,r,n,t)},Yc=function(r,n,t){return y2e(Hc,Xc,r,n,t)},ro=function(r,n,t){return y2e(Vc,Yc,r,n,t)},no=yeu(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return y2e(no,ro,r,n,t)}]}if(2!==hi)break n;var to=Z5e(xi),uo=B8e(r),ao=R6e(Q6e,to),fo=function(r,n,t){return y2e(ao,uo,r,n,t)},io=yeu(r,n,[1,xi],_i);return[0,0,function(r,n,t){return y2e(io,fo,r,n,t)}]}var co=e7e(hi),oo=t7e(xi),vo=function(r,n,t){return y2e(oo,co,r,n,t)},Ao=yeu(r,n,[1,xi],_i);return[0,[1,hi],function(r,n,t){return y2e(Ao,vo,r,n,t)}]}return[0,3,Z6e(r,ydn,DXe(a))];case 16:if(!f)break r;if(f[2])break r;var so=f[1],bo=a[2],lo=a[1];n:{t:{e:{switch(lo){case 3:if(8===bo)break n;break t;case 4:if(9===bo)break n;break t;case 5:if(10===bo)break e;break t;case 6:if(11!==bo)break t;break;case 8:if(3===bo)break n;break t;case 9:if(4===bo)break n;break t;case 10:if(5===bo)break e;break t;case 11:if(6!==bo)break t;break;case 14:if(5!==bo)break t;var Bo=e7e(5),jo=o7e(),ko=function(r,n,t){return y2e(jo,Bo,r,n,t)},po=yeu(r,n,[1,lo],so);return[0,Ddn,function(r,n,t){return y2e(po,ko,r,n,t)}];case 2:case 7:switch(bo){case 6:case 11:var mo=j8e(r),_o=geu(r,n,so);return[0,[1,bo],function(r,n,t){return y2e(_o,mo,r,n,t)}];case 3:case 4:case 5:case 8:case 9:case 10:var ho=R6e(L6e,Z5e(bo)),xo=j8e(r),yo=function(r,n,t){return y2e(xo,ho,r,n,t)},wo=geu(r,n,so);return[0,[1,bo],function(r,n,t){return y2e(wo,yo,r,n,t)}];default:break t}default:break t}return[0,[1,bo],yeu(r,n,[1,lo],so)]}return[0,[1,bo],yeu(r,n,[1,lo],so)]}return[0,3,Z6e(r,Edn,DXe(a))]}return[0,[1,bo],yeu(r,n,[1,lo],so)];case 17:if(!f)break r;if(f[2])break r;return xeu(r,n,f[1]);case 18:if(!f)break r;if(f[2])break r;var qo=f[1],Do=Y6e(r,$dn),Eo=Do[2],$o=Do[1],To=E8e(r,0,3),No=function(r,n,t){return y2e(Eo,To,r,n,t)},Fo=x6e(r,Tdn),Go=function(r,n,t){return y2e(Fo,No,r,n,t)},Uo=N6e(7),Mo=function(r,n,t){return y2e(Uo,Go,r,n,t)},Po=M6e(Ndn),Ko=function(r,n,t){return y2e(Po,Mo,r,n,t)},Oo=h8e(),Ro=function(r,n,t){return y2e(Oo,Ko,r,n,t)},Qo=function(r,n,t){return y2e(Eo,Ro,r,n,t)},Co=function(r,n,t){return y2e($o,Qo,r,n,t)},Lo=geu(r,n,qo);return[0,0,function(r,n,t){return y2e(Lo,Co,r,n,t)}];case 19:if(f)break r;return[0,0,K9e(r)];case 20:var Ho=a[1],Vo=fL(Ho,rE);if(0>Vo){var So=fL(Ho,kE);if(0>So){var zo=fL(Ho,Ih);if(0<=zo){if(0>=zo){if(!f)break r;var Jo=f[2];if(!Jo)break r;if(Jo[2])break r;return i(gmn,c7e(r,9))}var Wo=fL(Ho,lg);if(0<=Wo){if(0>=Wo){if(!f)break r;if(f[2])break r;return Deu(r,n,f[1],wmn)}var Zo=fL(Ho,Fd);if(0<=Zo){if(0>=Zo){if(!f)break r;if(f[2])break r;var Yo=f[1],nv=f7e(3),tv=yeu(r,n,xmn,Yo);return[0,ymn,function(r,n,t){return y2e(tv,nv,r,n,t)}]}if(Ho===EF){if(!f)break r;if(f[2])break r;var ev=f[1],uv=f7e(9),av=yeu(r,n,_mn,ev);return[0,hmn,function(r,n,t){return y2e(av,uv,r,n,t)}]}if(Ho===$M){if(!f)break r;if(f[2])break r;var fv=f[1],iv=f7e(10),cv=yeu(r,n,dmn,fv);return[0,mmn,function(r,n,t){return y2e(cv,iv,r,n,t)}]}if(Ho===Wd){if(!f)break r;if(f[2])break r;var ov=function(r,n,t){return w2e(jmn,0,n,t)},Av=yeu(r,n,kmn,f[1]);return[0,pmn,function(r,n,t){return y2e(Av,ov,r,n,t)}]}if(Ho!==Rk){if(Ho!==wr)break r;if(!f)break r;if(f[2])break r;var sv=f[1],bv=b6e(r)(WYn,JYn),lv=function(r,n,t){return w2e(ZYn,0,n,bv(r,n,t))},Bv=o7e(),jv=function(r,n,t){return y2e(Bv,lv,r,n,t)},kv=geu(r,n,sv);return[0,0,function(r,n,t){return y2e(kv,jv,r,n,t)}]}if(!f)break r;if(f[2])break r;var pv=f[1],dv=f7e(8),mv=yeu(r,n,lmn,pv);return[0,Bmn,function(r,n,t){return y2e(mv,dv,r,n,t)}]}if(Ho===yO){if(!f)break r;if(f[2])break r;return Ieu(r,n,f[1],bmn)}if(Ho===n_){if(!f)break r;if(f[2])break r;return Ieu(r,n,f[1],smn)}if(Ho===Uj){if(!f)break r;if(f[2])break r;var _v=f[1],hv=f7e(4),xv=yeu(r,n,vmn,_v);return[0,Amn,function(r,n,t){return y2e(xv,hv,r,n,t)}]}if(Ho!==rw){if(Ho!==hs)break r;if(!f)break r;if(f[2])break r;var yv=function(r,n,t){return w2e(amn,0,n,t)},gv=yeu(r,n,fmn,f[1]);return[0,imn,function(r,n,t){return y2e(gv,yv,r,n,t)}]}if(!f)break r;if(f[2])break r;var qv=f[1],Iv=f7e(5),Dv=yeu(r,n,cmn,qv);return[0,omn,function(r,n,t){return y2e(Dv,Iv,r,n,t)}]}var Ev=fL(Ho,Fb);if(0<=Ev){if(0>=Ev){if(f)break r;return[0,0,K9e(r)]}if(Ho===P){if(f)break r;var $v=1>>0?_6e(r,ESn):s4e(1,r,TSn,$Sn,function(r){return $8e(r,3,function(r){return T9e(r,qSn)},function(r){return T9e(r,ISn)},function(r){return M6e(DSn)})});return[0,0,$v]}if(Ho===gT){if(f)break r;return[0,umn,N9e(qzn,r)]}if(Ho===dK){if(!f)break r;if(f[2])break r;return Deu(r,n,f[1],emn)}if(Ho!==_O){if(Ho!==de)break r;if(!f)break r;if(f[2])break r;return Deu(r,n,f[1],nmn)}if(!f)break r;if(f[2])break r;return Deu(r,n,f[1],tmn)}if(Ho===ca){if(!f)break r;var Tv=f[2];if(!Tv)break r;if(Tv[2])break r;return i(rmn,c7e(r,10))}if(Ho===IF){if(!f)break r;var Nv=f[2];if(!Nv)break r;if(Nv[2])break r;return i(Ydn,z5e(r))}if(Ho===A_){if(!f)break r;var Fv=f[2];if(!Fv)break r;if(Fv[2])break r;return i(Xdn,c7e(r,8))}if(Ho!==ih){if(Ho!==OA)break r;if(f)break r;var Gv=e7e(5),Uv=q9e(r);return[0,Zdn,function(r,n,t){return y2e(Uv,Gv,r,n,t)}]}if(f)break r;var Mv=[11,[0,Wle,u6e(r,PZn)]];return[0,0,function(r,n,t){return w2e(Mv,0,n,t)}]}var Pv=fL(Ho,rQ);if(0<=Pv){if(0>=Pv)return i(0,E8e(r,2,0));var Kv=fL(Ho,_K);if(0<=Kv){if(0>=Kv){if(!f)break r;if(f[2])break r;var Ov=f[1],Rv=b4e(1,r,k2n,j2n,B2n,function(r,n){var t=B8e(r),e=h8e();function u(r,n,u){return y2e(e,t,r,n,u)}return function(r,t,e){return y2e(n,u,r,t,e)}}),Qv=geu(r,n,Ov);return[0,0,function(r,n,t){return y2e(Qv,Rv,r,n,t)}]}if(Ho===fp){if(!f)break r;if(f[2])break r;var Cv=f[1],Lv=b6e(r)(J1n,z1n),Hv=geu(r,n,Cv);return[0,0,function(r,n,t){return y2e(Hv,Lv,r,n,t)}]}if(Ho===oc){if(!f)break r;var Vv=f[2];if(!Vv)break r;if(Vv[2])break r;return i(Wdn,c7e(r,4))}if(Ho===Fa){if(!f)break r;var Sv=f[2];if(!Sv)break r;if(Sv[2])break r;return i(Jdn,c7e(r,5))}if(Ho!==xO){if(Ho!==eo)break r;if(!f)break r;var Jv=f[2];if(!Jv)break r;if(Jv[2])break r;return i(Sdn,c7e(r,3))}if(!f)break r;var Wv=f[2];if(!Wv)break r;if(Wv[2])break r;return i(zdn,z5e(r))}if(Ho===tU)return i(0,p9e(r,0));if(Ho===SG)return i(0,p9e(r,1));if(Ho===th){if(!f)break r;var Zv=f[2];if(!Zv)break r;if(Zv[2])break r;var Xv=Zv[1],Yv=f[1],rA=e7e(8),nA=T8e(r,0),tA=function(r,n,t){return y2e(nA,rA,r,n,t)},eA=geu(r,n,Xv),uA=function(r,n,t){return y2e(eA,tA,r,n,t)},aA=geu(r,n,Yv);return[0,Vdn,function(r,n,t){return y2e(aA,uA,r,n,t)}]}if(Ho!==YF){if(Ho!==Xo)break r;if(!f)break r;if(f[2])break r;var fA=f[1],iA=e7e(3),cA=b6e(r)(H1n,L1n),oA=function(r,n,t){return y2e(cA,iA,r,n,t)},vA=geu(r,n,fA);return[0,Hdn,function(r,n,t){return y2e(vA,oA,r,n,t)}]}if(!f)break r;if(f[2])break r;var AA=f[1],sA=b6e(r)(S1n,V1n),bA=geu(r,n,AA);return[0,0,function(r,n,t){return y2e(bA,sA,r,n,t)}]}var lA=fL(Ho,Dr);if(0<=lA){if(0>=lA){if(!f)break r;if(f[2])break r;var jA=f[1],kA=dH(h6n,n5e(7)),pA=dH(kA,64-r5e(7)|0),dA=v8e(1,function(n){var t=Y6e(r,p6n),e=t[2],u=t[1],a=V6e(o3e(7)),f=Z7e();function i(r,n,t){return w2e(d6n,0,n,f(r,n,t))}function c(r,n,t){return y2e(e,i,r,n,t)}var o=M6e(m6n),v=P7e(r),A=M6e(kA),s=p6e(1,function(r,n,t){return y2e(A,v,r,n,t)},function(r,n,t){return y2e(o,c,r,n,t)}),b=J6e(pA);function l(r,n,t){return 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ks=f[2];if(!ks)break r;if(ks[2])break r;var ps=ks[1],ds=f[1],ms=l4e(0,r,ZDn,WDn,[0,1,0],function(r,n,t){return T4e(r,JDn,zDn,function(e){var u=S9e(r);function a(r,n,t){return y2e(e,u,r,n,t)}var f=N9e(SDn,r);function i(r,n,t){return y2e(f,a,r,n,t)}function c(r,n,t){return y2e(e,i,r,n,t)}function o(r,n,e){return y2e(t,c,r,n,e)}return function(r,t,e){return y2e(n,o,r,t,e)}})}),_s=yeu(r,n,R_n,ps),xs=function(r,n,t){return y2e(_s,ms,r,n,t)},ys=yeu(r,n,Q_n,ds);return[0,0,function(r,n,t){return y2e(ys,xs,r,n,t)}]}var ws=fL(Ho,yQ);if(0<=ws){if(0>=ws){if(!f)break r;if(f[2])break r;var gs=f[1],qs=b6e(r)(O_n,K_n),Is=yeu(r,n,1,gs);return[0,1,function(r,n,t){return y2e(Is,qs,r,n,t)}]}var Ds=fL(Ho,yD);if(0<=Ds){if(0>=Ds){if(!f)break r;var Es=f[2];if(!Es)break r;var $s=Es[2];if(!$s)break r;if($s[2])break r;var Ts=$s[1],Ns=Es[1],Fs=f[1],Gs=b6e(r)(P_n,M_n),Us=geu(r,n,Ts),Ms=function(r,n,t){return y2e(Us,Gs,r,n,t)},Ps=geu(r,n,Ns),Ks=function(r,n,t){return 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y2e(Nb,Tb,r,n,t)}]}var Gb=fL(Ho,Bp);if(0<=Gb){if(0>=Gb){if(!f)break r;if(f[2])break r;var Ub=f[1],Mb=b6e(r)(m_n,d_n),Pb=yeu(r,n,1,Ub);return[0,1,function(r,n,t){return y2e(Pb,Mb,r,n,t)}]}if(Ho===zl){if(!f)break r;if(f[2])break r;var Kb=f[1],Ob=b6e(r)(p_n,k_n),Rb=yeu(r,n,1,Kb);return[0,1,function(r,n,t){return y2e(Rb,Ob,r,n,t)}]}if(Ho===Ic){if(!f)break r;if(f[2])break r;var Qb=function(r,n,t){return w2e(j_n,0,n,t)},Cb=yeu(r,n,1,f[1]);return[0,1,function(r,n,t){return y2e(Cb,Qb,r,n,t)}]}if(Ho===yf){if(!f)break r;if(f[2])break r;var Lb=f[1],Hb=b6e(r)(B_n,l_n),Vb=yeu(r,n,1,Lb);return[0,1,function(r,n,t){return y2e(Vb,Hb,r,n,t)}]}if(Ho!==ud){if(Ho!==Wk)break r;if(!f)break r;var Sb=f[2];if(!Sb)break r;if(Sb[2])break r;var zb=f[1],Jb=function(r,n,t){return w2e(s_n,0,n,t)},Wb=yeu(r,n,1,Sb[1]),Zb=function(r,n,t){return y2e(Wb,Jb,r,n,t)},Xb=yeu(r,n,1,zb);return[0,1,function(r,n,t){return y2e(Xb,Zb,r,n,t)}]}if(!f)break r;var Yb=f[2];if(!Yb)break r;if(Yb[2])break r;var rl=f[1],nl=function(r,n,t){return w2e(b_n,0,n,t)},tl=yeu(r,n,1,Yb[1]),el=function(r,n,t){return y2e(tl,nl,r,n,t)},ul=yeu(r,n,1,rl);return[0,1,function(r,n,t){return y2e(ul,el,r,n,t)}]}if(Ho===dn){if(!f)break r;if(f[2])break r;var al=f[1],fl=b6e(r)(A_n,v_n),il=yeu(r,n,1,al);return[0,1,function(r,n,t){return y2e(il,fl,r,n,t)}]}if(Ho===WM){if(!f)break r;if(f[2])break r;var cl=f[1],ol=b6e(r)(o_n,c_n),vl=yeu(r,n,1,cl);return[0,1,function(r,n,t){return y2e(vl,ol,r,n,t)}]}if(Ho===Ge){if(!f)break r;var Al=f[2];if(!Al)break r;if(Al[2])break r;var sl=Al[1],bl=f[1],ll=b6e(r)(i_n,f_n),Bl=yeu(r,n,1,sl),jl=function(r,n,t){return y2e(Bl,ll,r,n,t)},kl=yeu(r,n,1,bl);return[0,1,function(r,n,t){return y2e(kl,jl,r,n,t)}]}if(Ho!==em){if(Ho!==Um)break r;if(!f)break r;var pl=f[2];if(!pl)break r;if(pl[2])break r;var dl=f[1],ml=function(r,n,t){return w2e(u_n,0,n,t)},_l=yeu(r,n,1,pl[1]),hl=function(r,n,t){return y2e(_l,ml,r,n,t)},xl=yeu(r,n,1,dl);return[0,1,function(r,n,t){return y2e(xl,hl,r,n,t)}]}if(!f)break 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bp=fL(Ho,G$);t:{if(0<=bp){e:if(0=ed){if(f)break r;var ad=L9e(r,bz),fd=K9e(r);return[0,0,function(r,n,t){return y2e(fd,ad,r,n,t)}]}var id=fL(Ho,Io);if(0<=id){if(0>=id){if(!f)break r;if(f[2])break r;var cd=f[1],od=b6e(r)(VYn,HYn),vd=geu(r,n,cd);return[0,0,function(r,n,t){return y2e(vd,od,r,n,t)}]}if(Ho===qm){if(!f)break r;if(f[2])break r;var Ad=f[1],sd=b6e(r)(LYn,CYn),bd=geu(r,n,Ad);return[0,0,function(r,n,t){return y2e(bd,sd,r,n,t)}]}if(Ho===Bk){if(!f)break r;if(f[2])break r;var ld=f[1],Bd=U9e(r),jd=q8e(r),kd=function(r,n,t){return y2e(jd,Bd,r,n,t)},pd=f9e(r),md=function(r,n,t){return y2e(pd,kd,r,n,t)},_d=geu(r,n,ld);return[0,3,function(r,n,t){return y2e(_d,md,r,n,t)}]}if(Ho!==tn){if(Ho!==bG)break r;if(!f)break r;if(f[2])break r;var hd=f[1],xd=b6e(r)(Xhn,Zhn),yd=function(r,n,t){return y2e(xd,z4e,r,n,t)},gd=geu(r,n,hd);return[0,0,function(r,n,t){return y2e(gd,yd,r,n,t)}]}if(!f)break r;if(f[2])break r;var qd=f[1],Id=T5e(),Dd=geu(r,n,qd);return[0,0,function(r,n,t){return y2e(Dd,Id,r,n,t)}]}if(Ho===xf){if(!f)break r;var Ed=f[2];if(!Ed)break r;if(Ed[2])break r;var $d=Ed[1],Td=f[1],Nd=e7e(8),Gd=b6e(r)(Jhn,zhn),Ud=function(r,n,t){return y2e(Gd,Nd,r,n,t)},Md=geu(r,n,$d),Pd=function(r,n,t){return y2e(Md,Ud,r,n,t)},Kd=geu(r,n,Td);return[0,Whn,function(r,n,t){return y2e(Kd,Pd,r,n,t)}]}if(Ho===U){if(!f)break r;if(f[2])break r;var Od=f[1],Rd=b6e(r)(KYn,PYn),Qd=geu(r,n,Od);return[0,0,function(r,n,t){return y2e(Qd,Rd,r,n,t)}]}if(Ho===tO){if(!f)break r;if(f[2])break r;var Cd=f[1],Ld=b6e(r)(MYn,UYn),Hd=geu(r,n,Cd);return[0,0,function(r,n,t){return y2e(Hd,Ld,r,n,t)}]}if(Ho!==IP){if(Ho!==mg)break r;if(!f)break r;if(f[2])break r;var Vd=f[1],Sd=b4e(1,r,t0n,n0n,r0n,function(r,n){var t=B8e(r),e=b6e(r)(YYn,XYn);function u(r,n,u){return y2e(e,t,r,n,u)}return function(r,t,e){return y2e(n,u,r,t,e)}}),Jd=geu(r,n,Vd);return[0,0,function(r,n,t){return y2e(Jd,Sd,r,n,t)}]}if(!f)break r;if(f[2])break r;var Zd=f[1],Xd=function(r,n,t){return y2e(z4e,v7e,r,n,t)},Yd=b6e(r)(GYn,FYn),rm=function(r,n,t){return y2e(Yd,Xd,r,n,t)},nm=geu(r,n,Zd);return[0,Shn,function(r,n,t){return y2e(nm,rm,r,n,t)}]}var tm=fL(Ho,Fn);t:{e:{if(0<=tm){u:if(0d_){var m_=fL(Ho,ED);if(0<=m_){if(0>=m_)return i(0,E8e(r,3,2));var __=fL(Ho,eK);if(0<=__){if(0>=__){if(!f)break r;var h_=f[2];if(!h_)break r;if(h_[2])break r;var x_=h_[1],y_=f[1],w_=e9e(r),g_=yeu(r,n,_hn,x_),q_=function(r,n,t){return y2e(g_,w_,r,n,t)},I_=yeu(r,n,0,y_);return[0,1,function(r,n,t){return y2e(I_,q_,r,n,t)}]}if(Ho!==Z$){if(Ho===br)break e;if(Ho===ar)break t;if(Ho===vK)break n;if(Ho!==fk)break r}if(!f)break r;var D_=f[2];if(!D_)break r;if(D_[2])break r;var E_=D_[1],$_=f[1],T_=Ho===fk?4:9,N_=e7e(T_),F_=[21,[1,4===T_?1:0]],G_=function(r,n,t){return w2e(F_,0,n,N_(r,n,t))},U_=Z8e(r),M_=function(r,n,t){return y2e(U_,G_,r,n,t)},P_=yeu(r,n,xxn,E_),K_=function(r,n,t){return y2e(P_,M_,r,n,t)},O_=yeu(r,n,0,$_);return[0,[1,T_],function(r,n,t){return y2e(O_,K_,r,n,t)}]}if(Ho===$q)return i(0,E8e(r,0,2));if(Ho===wd){if(!f)break r;if(f[2])break r;var R_=f[1],Q_=b4e(1,r,wzn,yzn,0,function(r,n){var t=Y6e(r,xzn),e=t[2],u=t[1],a=G9e(r),f=h8e();function i(r,n,t){return y2e(f,a,r,n,t)}function c(r,n,t){return y2e(e,i,r,n,t)}var o=y8e();function v(r,n,t){return y2e(o,c,r,n,t)}function A(r,n,t){return y2e(e,v,r,n,t)}function s(r,n,t){return y2e(u,A,r,n,t)}var b=f9e(r);function l(r,n,t){return y2e(b,s,r,n,t)}return function(r,t,e){return y2e(n,l,r,t,e)}}),H_=geu(r,n,R_);return[0,xX,function(r,n,t){return y2e(H_,Q_,r,n,t)}]}if(Ho===_D){if(!f)break r;var V_=f[2];if(!V_)break r;if(V_[2])break r;var S_=V_[1],z_=f[1],J_=V8e(r),W_=yeu(r,n,dhn,S_),Z_=function(r,n,t){return y2e(W_,J_,r,n,t)},X_=yeu(r,n,0,z_);return[0,mhn,function(r,n,t){return y2e(X_,Z_,r,n,t)}]}if(Ho!==ew){if(Ho!==eD)break r;if(!f)break r;var Y_=f[2];if(!Y_)break r;var rh=Y_[2];if(!rh)break r;if(rh[2])break r;var nh=rh[1],eh=Y_[1],uh=f[1],ah=S8e(r),fh=d8e(r,g8e(r,1,khn)),ch=function(r,n,t){return y2e(fh,ah,r,n,t)},oh=yeu(r,n,0,nh),vh=function(r,n,t){return y2e(oh,ch,r,n,t)},Ah=yeu(r,n,phn,eh),sh=function(r,n,t){return y2e(Ah,vh,r,n,t)},bh=yeu(r,n,0,uh);return[0,0,function(r,n,t){return y2e(bh,sh,r,n,t)}]}if(!f)break r;if(f[2])break r;var lh=f[1],Bh=B8e(r),jh=C8e(r),kh=function(r,n,t){return y2e(jh,Bh,r,n,t)},ph=yeu(r,n,0,lh);return[0,0,function(r,n,t){return y2e(ph,kh,r,n,t)}]}var dh=fL(Ho,vR);if(0<=dh){if(0>=dh){if(!f)break r;if(f[2])break r;var mh=function(r,n,t){return w2e(lhn,0,n,t)},_h=yeu(r,n,Bhn,f[1]);return[0,jhn,function(r,n,t){return y2e(_h,mh,r,n,t)}]}if(Ho===L_){if(!f)break r;if(f[2])break r;var hh=f[1],xh=e7e(3),yh=function(r,n,t){return w2e(Ahn,0,n,xh(r,n,t))},wh=yeu(r,n,shn,hh);return[0,bhn,function(r,n,t){return y2e(wh,yh,r,n,t)}]}if(Ho===$O){if(!f)break r;if(f[2])break r;var qh=f[1],Dh=e7e(9),Eh=function(r,n,t){return w2e(chn,0,n,Dh(r,n,t))},$h=yeu(r,n,ohn,qh);return[0,vhn,function(r,n,t){return y2e($h,Eh,r,n,t)}]}if(Ho===yR){if(!f)break r;if(f[2])break r;var Th=f[1],Nh=e7e(10),Fh=function(r,n,t){return w2e(ahn,0,n,Nh(r,n,t))},Gh=yeu(r,n,fhn,Th);return[0,ihn,function(r,n,t){return y2e(Gh,Fh,r,n,t)}]}if(Ho!==zv){if(Ho!==st)break r;if(!f)break r;if(f[2])break r;var Uh=f[1],Mh=e7e(8),Ph=function(r,n,t){return w2e(Y_n,0,n,Mh(r,n,t))},Kh=yeu(r,n,rhn,Uh);return[0,nhn,function(r,n,t){return y2e(Kh,Ph,r,n,t)}]}if(!f)break r;if(f[2])break r;var Oh=function(r,n,t){return w2e(thn,0,n,t)},Rh=yeu(r,n,ehn,f[1]);return[0,uhn,function(r,n,t){return y2e(Rh,Oh,r,n,t)}]}if(Ho===Xw){if(!f)break r;if(f[2])break r;var Qh=f[1],Ch=Y6e(r,X_n),Lh=Ch[2],Hh=Ch[1],Vh=F9e(r),Sh=h8e(),zh=function(r,n,t){return y2e(Sh,Vh,r,n,t)},Wh=function(r,n,t){return y2e(Lh,zh,r,n,t)},Zh=y8e(),Xh=function(r,n,t){return y2e(Zh,Wh,r,n,t)},Yh=function(r,n,t){return y2e(Lh,Xh,r,n,t)},rx=function(r,n,t){return y2e(Hh,Yh,r,n,t)},nx=geu(r,n,Qh);return[0,0,function(r,n,t){return y2e(nx,rx,r,n,t)}]}if(Ho===Sg){if(!f)break r;var tx=f[2];if(!tx)break r;if(tx[2])break r;var ex=tx[1],ux=f[1],ax=a8e(r),fx=yeu(r,n,Z_n,ex),ix=function(r,n,t){return y2e(fx,ax,r,n,t)},cx=geu(r,n,ux);return[0,0,function(r,n,t){return y2e(cx,ix,r,n,t)}]}if(Ho===YK){if(!f)break r;if(f[2])break r;var ox=f[1],vx=N9e(Tzn,r),Ax=function(r,n,t){return w2e(Nzn,0,n,aS(vx,r,n,t))},sx=yeu(r,n,J_n,ox);return[0,W_n,function(r,n,t){return y2e(sx,Ax,r,n,t)}]}if(Ho!==uy){if(Ho!==zd)break r;if(!f)break r;if(f[2])break r;var bx=f[1],lx=e7e(5),Bx=function(r,n,t){return w2e(C_n,0,n,lx(r,n,t))},jx=yeu(r,n,L_n,bx);return[0,H_n,function(r,n,t){return y2e(jx,Bx,r,n,t)}]}if(!f)break r;if(f[2])break r;var kx=f[1],px=e7e(4),dx=function(r,n,t){return w2e(V_n,0,n,px(r,n,t))},mx=yeu(r,n,S_n,kx);return[0,z_n,function(r,n,t){return y2e(mx,dx,r,n,t)}]}if(0_x){var hx=fL(Ho,VT);if(0<=hx){if(0>=hx){if(!f)break r;var xx=f[2];if(!xx)break r;var yx=xx[2];if(!yx)break r;if(yx[2])break r;var wx=yx[1],gx=xx[1],qx=f[1],Ix=u9e(r),Dx=yeu(r,n,1,wx),Ex=function(r,n,t){return y2e(Dx,Ix,r,n,t)},$x=yeu(r,n,yhn,gx),Tx=function(r,n,t){return y2e($x,Ex,r,n,t)},Nx=yeu(r,n,0,qx);return[0,xX,function(r,n,t){return y2e(Nx,Tx,r,n,t)}]}if(Ho!==BN){if(Ho===aa)break f;if(Ho===Xg)break a;if(Ho===XE)break u;if(Ho!==Mx)break r}if(!f)break r;var Fx=f[2];if(!Fx)break r;var Gx=Fx[2];if(!Gx)break r;if(Gx[2])break r;var Ux=Gx[1],Px=Fx[1],Kx=f[1],Ox=Ho===Mx?4:9,Rx=X8e(r),Qx=function(r,n,t){return w2e(yxn,0,n,Rx(r,n,t))},Cx=t7e(Ox),Lx=function(r,n,t){return y2e(Cx,Qx,r,n,t)},Hx=yeu(r,n,[1,Ox],Ux),Vx=function(r,n,t){return y2e(Hx,Lx,r,n,t)},Sx=yeu(r,n,wxn,Px),zx=function(r,n,t){return y2e(Sx,Vx,r,n,t)},Jx=yeu(r,n,0,Kx);return[0,xX,function(r,n,t){return y2e(Jx,zx,r,n,t)}]}if(Ho===wp)break t;if(Ho===uU)break n;if(Ho===js){if(f)break r;return $6e(r),[0,0,b6e(r)(O0n,K0n)]}if(Ho!==Jh){if(Ho!==AD)break r;if(!f)break r;var Zx=f[2];if(!Zx)break r;var Xx=Zx[2];if(!Xx)break r;if(Xx[2])break r;var Yx=Xx[1],ny=Zx[1],ey=f[1],ay=z8e(r),fy=yeu(r,n,0,Yx),iy=function(r,n,t){return y2e(fy,ay,r,n,t)},cy=yeu(r,n,hhn,ny),oy=function(r,n,t){return y2e(cy,iy,r,n,t)},vy=yeu(r,n,0,ey);return[0,xX,function(r,n,t){return y2e(vy,oy,r,n,t)}]}if(!f)break r;if(f[2])break r;var Ay=f[1],sy=H8e(r),by=yeu(r,n,0,Ay);return[0,xhn,function(r,n,t){return y2e(by,sy,r,n,t)}]}if(0<_x){var ly=fL(Ho,SE);if(0<=ly){if(0>=ly){if(f)break r;var By=B8e(r),jy=Q4e(r);return[0,0,function(r,n,t){return y2e(jy,By,r,n,t)}]}if(Ho===Qq){if(f)break r;var ky=B8e(r),py=b6e(r)(ort,crt);return[0,0,function(r,n,t){return y2e(py,ky,r,n,t)}]}if(Ho===tb){if(f)break r;var dy=B8e(r),my=p4e(r);return[0,0,function(r,n,t){return y2e(my,dy,r,n,t)}]}if(Ho===bK){if(f)break r;var _y=B8e(r),hy=b6e(r)(Jrt,zrt);return[0,0,function(r,n,t){return y2e(hy,_y,r,n,t)}]}if(Ho!==rv){if(Ho!==gh)break r;if(f)break r;var xy=B8e(r),yy=d4e(r);return[0,0,function(r,n,t){return y2e(yy,xy,r,n,t)}]}if(f)break r;if(!ole[1])throw LQ([0,mS,ghn],1);var wy=W9e(r),gy=function(r,n,t){return y2e(wy,Z4e,r,n,t)},qy=x6e(r,eEn),Iy=function(r,n,t){return y2e(qy,gy,r,n,t)},Dy=stu(r),Ey=p6e(1,L4e(1),function(r,n,t){return y2e(Dy,Iy,r,n,t)}),$y=btu(r),Ty=b6e(r)(GTn,FTn),Ny=p6e(1,function(r,n,t){return y2e(Ty,z4e,r,n,t)},function(r,n,t){return y2e($y,Ey,r,n,t)}),Fy=ltu(r);return[0,0,function(r,n,t){return y2e(Fy,Ny,r,n,t)}]}if(Ho===M$)break a;if(Ho===Wx)break u;if(Ho===FA){if(f)break r;var Gy=function(r,n,t){return w2e(Izn,0,n,t)},Uy=N9e(Dzn,r);return[0,0,function(r,n,t){return y2e(Uy,Gy,r,n,t)}]}if(Ho!==QA){if(Ho!==zT)break r;if(!f)break r;var My=f[2];if(!My)break r;if(My[2])break r;var Py=My[1],Ky=f[1],Oy=f8e(r),Ry=yeu(r,n,whn,Py),Qy=function(r,n,t){return y2e(Ry,Oy,r,n,t)},Cy=geu(r,n,Ky);return[0,0,function(r,n,t){return y2e(Cy,Qy,r,n,t)}]}if(f)break r;var Ly=1>>0?_6e(r,wSn):s4e(1,r,gSn,[0,1,0],function(r){return $8e(r,3,function(r){return T9e(r,hSn)},function(r){return T9e(r,xSn)},function(r){return M6e(ySn)})});return[0,0,Ly]}}if(!f)break r;var Hy=f[2];if(!Hy)break r;var Vy=Hy[2];if(!Vy)break r;if(Vy[2])break r;var Sy=Vy[1],zy=Hy[1],Jy=f[1],Wy=Ho===Kc?5:10,Zy=r9e(r),Xy=function(r,n,t){return w2e(qxn,0,n,Zy(r,n,t))},Yy=t7e(Wy),nw=function(r,n,t){return y2e(Yy,Xy,r,n,t)},tw=yeu(r,n,[1,Wy],Sy),uw=function(r,n,t){return y2e(tw,nw,r,n,t)},aw=yeu(r,n,Ixn,zy),fw=function(r,n,t){return y2e(aw,uw,r,n,t)},iw=yeu(r,n,0,Jy);return[0,xX,function(r,n,t){return y2e(iw,fw,r,n,t)}]}if(!f)break r;var cw=f[2];if(!cw)break r;var ow=cw[2];if(!ow)break r;if(ow[2])break r;var vw=ow[1],Aw=cw[1],sw=f[1],bw=Ho===M$?6:11,lw=t9e(r),Bw=yeu(r,n,[1,bw],vw),jw=function(r,n,t){return y2e(Bw,lw,r,n,t)},kw=yeu(r,n,Exn,Aw),pw=function(r,n,t){return y2e(kw,jw,r,n,t)},dw=yeu(r,n,0,sw);return[0,xX,function(r,n,t){return y2e(dw,pw,r,n,t)}]}if(!f)break r;var mw=f[2];if(!mw)break r;var _w=mw[2];if(!_w)break r;if(_w[2])break r;var hw=_w[1],xw=mw[1],yw=f[1],ww=Ho===Wx?3:8,gw=W8e(r),qw=function(r,n,t){return w2e(_xn,0,n,gw(r,n,t))},Iw=t7e(ww),Dw=function(r,n,t){return y2e(Iw,qw,r,n,t)},Ew=yeu(r,n,[1,ww],hw),$w=function(r,n,t){return y2e(Ew,Dw,r,n,t)},Tw=yeu(r,n,hxn,xw),Nw=function(r,n,t){return y2e(Tw,$w,r,n,t)},Fw=yeu(r,n,0,yw);return[0,xX,function(r,n,t){return y2e(Fw,Nw,r,n,t)}]}}if(!f)break r;var Gw=f[2];if(!Gw)break r;if(Gw[2])break r;var Uw=Gw[1],Mw=f[1],Pw=Ho===c_?5:10,Kw=e7e(Pw),Ow=[21,[1,5===Pw?1:0]],Qw=function(r,n,t){return w2e(Ow,0,n,Kw(r,n,t))},Cw=Y8e(r),Lw=function(r,n,t){return y2e(Cw,Qw,r,n,t)},Hw=yeu(r,n,gxn,Uw),Vw=function(r,n,t){return y2e(Hw,Lw,r,n,t)},Sw=yeu(r,n,0,Mw);return[0,[1,Pw],function(r,n,t){return y2e(Sw,Vw,r,n,t)}]}if(!f)break r;var zw=f[2];if(!zw)break r;if(zw[2])break r;var Jw=zw[1],Ww=f[1],Zw=Ho===wp?6:11,Yw=n9e(r),rg=yeu(r,n,Dxn,Jw),ng=function(r,n,t){return y2e(rg,Yw,r,n,t)},tg=yeu(r,n,0,Ww);return[0,[1,Zw],function(r,n,t){return y2e(tg,ng,r,n,t)}]}if(!f)break r;var eg=f[2];if(!eg)break r;if(eg[2])break r;var ug=eg[1],ag=f[1],fg=Ho===uU?3:8,ig=e7e(fg),cg=[21,[1,3===fg?1:0]],og=function(r,n,t){return w2e(cg,0,n,ig(r,n,t))},vg=J8e(r),Ag=function(r,n,t){return y2e(vg,og,r,n,t)},sg=yeu(r,n,mxn,ug),bg=function(r,n,t){return y2e(sg,Ag,r,n,t)},Bg=yeu(r,n,0,ag);return[0,[1,fg],function(r,n,t){return y2e(Bg,bg,r,n,t)}];case 23:if(!f)break r;if(f[2])break r;var jg=f[1],kg=a[1];if(1>>0)var pg=_6e(r,Qxn);else{var dg=Q9e(r),_g=Gnu(r,kg),hg=function(r,n,t){return y2e(_g,dg,r,n,t)},xg=geu(r,n,jg);pg=function(r,n,t){return y2e(xg,hg,r,n,t)}}return[0,xX,pg];case 24:if(f)break r;var yg=a[1],wg=mru(r),gg=j4e(r),qg=r4e(r,QTn),Ig=qg[2],Dg=qg[1],Eg=function(r,n,t){return w2e(CTn,0,n,t)},$g=aru(r),Tg=Knu(r,PX,0,function(r,n,t){return y2e($g,Eg,r,n,t)}),Ng=Knu(r,MX,0,Ig),Fg=Knu(r,UX,1,eru(r)),Gg=l4e(0,r,MCn,UCn,0,function(r,n,t){var e=Y6e(r,"sum"),u=e[2],a=e[1],f=h6e(r,ECn),i=N6e(2);function c(r,n,t){return y2e(i,f,r,n,t)}var o=M6e($Cn);function v(r,n,t){return y2e(o,c,r,n,t)}var A=jru(r);function s(r,n,t){return y2e(A,v,r,n,t)}var b=R6e(0,TCn);function l(r,n,t){return w2e(NCn,0,n,y2e(b,s,r,n,t))}var B=M6e(iH(16));function j(r,n,t){return y2e(B,l,r,n,t)}function k(r,n,t){return y2e(u,j,r,n,t)}var p=h6e(r,FCn);function d(r,n,t){return y2e(p,k,r,n,t)}var m=N6e(3);function _(r,n,t){return y2e(m,d,r,n,t)}function h(r,t,e){return y2e(n,_,r,t,e)}function x(r,n,t){return y2e(u,h,r,n,t)}function y(r,n,t){return w2e(GCn,0,n,y2e(a,x,r,n,t))}function w(r,n,e){return y2e(t,y,r,n,e)}return function(r,t,e){return y2e(n,w,r,t,e)}}),Ug=M6e(UX),Mg=function(r,n,t){return y2e(Ug,Gg,r,n,t)},Pg=R6e(L6e,iH(16)),Kg=function(r,n,t){return y2e(Pg,Mg,r,n,t)},Og=eru(r),Rg=function(r,n,t){return y2e(Ng,Tg,r,n,t)},Qg=function(r,n,t){return y2e(Og,Kg,r,n,y2e(Fg,Rg,r,n,t))},Cg=lru(r),Lg=function(r,n,t){return y2e(Cg,Qg,r,n,t)},Hg=P6e(0),Vg=function(r,n,t){return y2e(Hg,Lg,r,n,t)},zg=M6e(LTn),Jg=function(r,n,t){return y2e(zg,Vg,r,n,t)},Wg=function(r,n,t){return y2e(Dg,Jg,r,n,t)},Zg=Bru(r),Yg=function(r,n,t){return y2e(Zg,Wg,r,n,t)},rq=M6e(HTn),nq=k6e(x2e,function(r,n,t){return y2e(rq,Yg,r,n,t)}),eq=F6e(0),uq=function(r,n,t){return y2e(eq,nq,r,n,t)},aq=Pnu(r),fq=b6e(r)($Tn,ETn),iq=function(r,n,t){return y2e(aq,uq,r,n,y2e(gg,wg,r,n,t))},cq=function(r,n,t){return y2e(fq,iq,r,n,t)},oq=P9e(r),vq=function(r,n,t){return y2e(oq,cq,r,n,t)},Aq=Hnu(r,yg),sq=[3,[0,Wle,1]],bq=k6e(x2e,function(r,n,t){return w2e(sq,0,n,t)}),lq=znu(r),Bq=function(r,n,t){return y2e(lq,bq,r,n,t)},jq=function(r,n,t){return N2e(Bq,r,n,t)},kq=itu(r,yg),dq=k6e(function(r,n,t){return y2e(kq,jq,r,n,t)},function(r,n,t){return y2e(Aq,vq,r,n,t)}),mq=Snu(r);return[0,xX,function(r,n,t){return y2e(mq,dq,r,n,t)}];case 25:if(f)break r;var _q=a[1],xq=b6e(r)(wLn,yLn),yq=M6e(gLn),wq=_6e(r,"Detected implicit upgrade from classical orthogonal persistence to enhanced orthogonal persistence. Recompile with explicit flag --enhanced-orthogonal-persistence and redeploy to enable this irreversible migration."),gq=x6e(r,uEn),qq=function(r,n,t){return y2e(gq,wq,r,n,t)},Iq=stu(r),Dq=Lnu(r,_q),Eq=fru(r),Tq=M6e(tru),Nq=x6e(r,"Unsupported stable memory version when upgrading from graph-copy-based stabilization"),Fq=function(r,n,t){return y2e(Nq,Tq,r,n,t)},Gq=J6e(rru),Uq=function(r,n,t){return y2e(Gq,Fq,r,n,t)},Mq=aru(r),Kq=p6e(1,M6e(nru),function(r,n,t){return y2e(Mq,Uq,r,n,t)}),Oq=function(r,n,t){return y2e(Kq,Eq,r,n,t)},Rq=J6e(Y9e),Cq=aru(r),Lq=atu(r),Hq=h6e(r,"Destabilization is not yet completed: Call __motoko_destabilize_after_upgrade"),Vq=function(r,n,t){return y2e(Hq,Lq,r,n,t)},Sq=F6e(0),zq=function(r,n,t){return y2e(Rq,Oq,r,n,t)},Jq=function(r,n,t){return y2e(Sq,Vq,r,n,t)},Wq=atu(r),Xq=p6e(1,function(r,n,t){return y2e(Wq,Jq,r,n,y2e(Cq,zq,r,n,Dq(r,n,t)))},function(r,n,t){return y2e(Iq,qq,r,n,t)}),Yq=btu(r),rI=mru(r),nI=function(r,n,t){return w2e(CRn,0,n,rI(r,n,t))},tI=j4e(r),eI=dru(r),uI=r4e(r,UTn),aI=uI[2],fI=uI[1],iI=lru(r),cI=function(r,n,t){return y2e(aI,iI,r,n,t)},oI=M6e(MTn),vI=function(r,n,t){return y2e(oI,cI,r,n,t)},AI=Rnu(r,PX,0),sI=function(r,n,t){return y2e(AI,vI,r,n,t)},bI=Rnu(r,MX,0),jI=function(r,n,t){return y2e(bI,sI,r,n,t)},kI=Rnu(r,UX,1),pI=function(r,n,t){return y2e(kI,jI,r,n,t)},dI=uru(r),mI=function(r,n,t){return y2e(dI,pI,r,n,t)},_I=Onu(r,UX,1),hI=function(r,n,t){return y2e(_I,mI,r,n,t)},xI=function(r,n,t){return y2e(fI,hI,r,n,t)},yI=Onu(r,MX,0),wI=function(r,n,t){return y2e(yI,xI,r,n,t)},gI=x6e(r,uS(I6(PTn),vH(zR,nru),vH(zR,tru))),qI=function(r,n,t){return w2e(KTn,0,n,y2e(gI,wI,r,n,t))},II=J6e(tru),DI=function(r,n,t){return y2e(II,qI,r,n,t)},EI=aru(r),$I=function(r,n,t){return y2e(EI,DI,r,n,t)},TI=J6e(nru),NI=function(r,n,t){return y2e(TI,$I,r,n,t)},FI=aru(r),GI=function(r,n,t){return y2e(FI,NI,r,n,t)},UI=fru(r),MI=function(r,n,t){return w2e(OTn,0,n,y2e(UI,GI,r,n,t))},PI=Onu(r,PX,0),KI=uru(r),OI=M6e(RTn),RI=k6e(function(r,n,t){return y2e(OI,KI,r,n,t)},function(r,n,t){return y2e(PI,MI,r,n,t)}),QI=F6e(0),CI=function(r,n,t){return y2e(tI,nI,r,n,t)},LI=function(r,n,t){return y2e(QI,RI,r,n,t)},HI=Pnu(r),VI=b6e(r)(DTn,ITn),SI=Vnu(r,_q),zI=function(r,n,t){return y2e(SI,VI,r,n,t)},JI=Qnu(r),WI=function(r,n,t){return y2e(HI,LI,r,n,y2e(eI,CI,r,n,t))},ZI=p6e(1,P8e(r,D0(function(r){return[0,r[1],function(r){return o5e}]},ige(_q)[2])),function(r,n,t){return y2e(JI,zI,r,n,t)}),XI=function(r,n,t){return y2e(ZI,WI,r,n,t)},YI=F6e(0),rD=function(r,n,t){return y2e(YI,XI,r,n,t)},nD=Qnu(r),tD=function(r,n,t){return y2e(nD,rD,r,n,t)},uD=Lnu(r,_q),aD=function(r,n,t){return y2e(yq,xq,r,n,t)},fD=p6e(1,function(r,n,t){return y2e(uD,tD,r,n,t)},function(r,n,t){return y2e(Yq,Xq,r,n,t)}),iD=function(r,n,t){return y2e(fD,aD,r,n,t)},cD=ltu(r);return[0,0,function(r,n,t){return y2e(cD,iD,r,n,t)}];case 26:if(!f)break r;if(f[2])break r;return[0,Cxn,_6e(r,"Deprecated with enhanced orthogonal persistence")];case 27:if(f)break r;return[0,xX,Hnu(r,a[1])];default:break r}if(f&&!f[2])return i(0,b6e(r)(Hxn,Lxn))}return[0,3,Z6e(r,Vxn,DXe(a))]}}function xeu(r,n,t){return weu(r,n,0,t)}function yeu(r,n,t,e){var u=weu(r,n,[0,t],e),a=u[2],f=Dru(r,u[1],t);return function(r,n,t){return y2e(a,f,r,n,t)}}function weu(r,n,t,e){if(e[3][3]){var u=Geu(r,n,e),a=u[1];uS(u[2],r,n);var f=[0,[2,a],x2e]}else{var i=e[2];r:{switch(i[0]){case 0:var c=i[1],o=c[2],v=c[1];if(Q0(function(r){return Jwe(r[3][1])},o))var A=function(r,n,t){return w2e(0,0,n,t)},s=g2e(function(t){var e=xeu(r,n,t),u=e[2],a=gru(0,e[1]);return function(r,n,t){return y2e(u,a,r,n,t)}},o),b=[0,3,function(r,n,t){return y2e(s,A,r,n,t)}];else b=heu(r,n,v,c[2],e[1]);var l=b;break r;case 1:l=Hru(r,n,i[2]);break r;case 2:l=ueu(i[1]);break r;case 3:var B=i[1],j=B[2],k=i[2];switch(j[0]){case 0:var p=Cru(r,n,j[1]);break;case 1:var d=j[1],m=j[2],_=zwe(d[3][1]);if("number"!=typeof _&&5===_[0]){if(Qru(_[1]))var h=p5e(r),x=R6e(0,i3e[2]),y=_eu(r,n,d,m),w=[0,function(r,n,t){return y2e(y,x,r,n,t)},0,h];else{var g=i3e[6];w=[0,_eu(r,n,d,j[2]),0,g]}p=w;break}throw LQ([0,mS,cYn],1);default:var q=j[1],I=j[2];if(Qru(Tge(I,mge([0,I,0],q[3][1])[2])))var D=p5e(r),E=R6e(0,i3e[2]),$=O8e(r,q[3][1],I),T=function(r,n,t){return y2e($,E,r,n,t)},N=geu(r,n,q),F=[0,function(r,n,t){return y2e(N,T,r,n,t)},0,D];else{var G=i3e[6],U=O8e(r,q[3][1],j[2]),M=geu(r,n,q);F=[0,function(r,n,t){return y2e(M,U,r,n,t)},0,G]}p=F}var P=p[3],K=B[1],O=p[1],R=B[1],Q=function(r,n,t){return D2e(K,P,r,0,t)},C=yeu(r,n,p[2],k);l=[0,xX,function(r,n,t){return function(r,n,t){return D2e(R,O,r,0,t)}(r,0,function(r,n,t){return y2e(C,Q,r,n,t)}(r,n,t))}];break r;case 4:var L=i[1],H=L[2],V=L[1],S=Feu(r,n,V,VJe(YJe(H))),z=S[2],J=weu(r,S[1],t,H);l=[0,J[1],z(J[2])];break r;case 5:var W=i[3],Z=i[2],X=qeu(r,n,i[1]),Y=weu(r,n,t,Z),rr=Y[1],nr=Y[2],tr=weu(r,n,t,W),er=tr[1],ur=tr[2],ar=t?t[1]:wru(rr,er),fr=Dru(r,er,ar),ir=Dru(r,rr,ar),cr=xru(0,ar),or=i4e(r,cr),vr=f4e(r,cr),Ar=f4e(r,cr),sr=d6e(r,u4e(cr),function(r,n,t){return y2e(nr,ir,r,n,aS(Ar,r,n,t))},function(r,n,t){return y2e(ur,fr,r,n,aS(vr,r,n,t))}),br=function(r,n,t){return y2e(sr,or,r,n,t)};l=[0,ar,function(r,n,t){return y2e(X,br,r,n,t)}];break r;case 6:var lr=i[1],Br=i[2],jr=lr[3][1];n:{t:if(Br){var kr=Br[1][2][1][2];if("number"!=typeof kr&&5===kr[0]){var pr=kr[1];if(Br[2])break t;if("number"!=typeof jr&&4===jr[0]){var dr=jr[1];if(!dr)break t;if(dr[2])break t;var mr=pr===dr[1][1]?1:0;break n}break t}}mr=0}n:{if(mr){t:{var _r=geu(r,n,lr);if(Br){var hr=Br[1][2],xr=hr[1],yr=xr[2];if("number"!=typeof yr&&5===yr[0]){var wr=yr[2],gr=hr[2];if(Br[2])break t;var qr=$eu(r,n,[0,xr[1],[5,eX,wr],xr[3]]),Ir=qr[2],Dr=weu(r,qr[1],t,gr),Er=Dr[1],$r=Dr[2],Tr=t?t[1]:Er,Nr=[0,Tr,c4e(r,xru(0,Tr),function(n){var t=jtu(Ir)([0,$r]);function e(r,n,t){return w2e(0,0,n,t)}var u=mtu(r,D0(function(t){var e=t[2],u=Dru(r,t[1],Tr);return jtu(e)([0,function(r,t,e){return y2e(u,n,r,t,e)}])},[0,[0,Er,jtu([0,_r])(t)],0]));return function(r,n,t){return y2e(u,e,r,n,t)}})];break n}}}throw LQ([0,pS,Sxn],1)}var Fr=i[2],Gr=geu(r,n,lr),Ur=Y6e(r,zxn),Mr=lr[3][1];t:{e:{var Pr=Ur[2],Kr=Ur[1];if(Fr){var Or=Fr[1],Rr=Or[2][1][2];if("number"!=typeof Rr&&5===Rr[0]){var Qr=Rr[1],Cr=Fr[2],Lr=Rr[2];if(!Cr)break e;var Hr=Cr[1],Vr=Hr[2],Sr=Vr[1],zr=Sr[2];if("number"!=typeof zr&&5===zr[0]){var Jr=zr[1],Wr=zr[2],Zr=Vr[2];if(Cr[2])break e;if("number"!=typeof Mr&&4===Mr[0]){var Xr=Mr[1];if(!Xr)break e;var Yr=Xr[2];if(!Yr)break e;if(Yr[2])break e;var rn=Yr[1][1],nn=Xr[1][1];u:if(mXe(Lr)){if(Qr!==nn&&Qr!==rn)break u;if(Jr!==nn&&Jr!==rn)break u;var tn=[0,Or,[0,[0,Hr[1],[0,[0,Sr[1],[5,eX,Wr],Sr[3]],Zr],Hr[3]],0]];break t}break e}break e}break e}}}tn=Fr}var en=D0(function(e){var u=e[2],a=u[2],f=$eu(r,n,u[1]),i=f[2],c=weu(r,f[1],t,a),o=c[1],v=[0,c[2]],A=jtu(i)(v);return[0,o,jtu([0,Pr])(A)]},tn),un=t?t[1]:G0(wru,3,D0(function(r){return r[1]},en)),an=c4e(r,xru(0,un),function(n){function t(r,n,t){return w2e(0,0,n,t)}var e=mtu(r,D0(function(t){var e=t[2],u=Dru(r,t[1],un);return jtu(e)([0,function(r,t,e){return y2e(u,n,r,t,e)}])},en));return function(r,n,u){return y2e(e,t,r,n,u)}}),fn=function(r,n,t){return y2e(Kr,an,r,n,t)};Nr=[0,un,function(r,n,t){return y2e(Gr,fn,r,n,t)}]}l=Nr;break r;case 7:var cn=[3,[0,Wle,0]],on=function(r,n,t){return w2e(cn,0,n,t)},vn=yeu(r,[0,1,n[2],n[3]],xX,i[1]),An=function(r,n,t){return y2e(vn,on,r,n,t)};l=[0,3,function(r,n,t){return N2e(An,r,n,w2e(0,0,n,t))}];break r;case 8:var sn=i[3],bn=i[1],ln=G2e(function(t){var e=$ru[4].call(null,bn,t,n[3]);return geu(r,[0,n[1],n[2],e],sn)});l=[0,0,m6e(r,xru(0,0),ln)];break r;case 10:var Bn=i[3],jn=Uru(r,n,i[1],i[2]),kn=jn[2],pn=xeu(r,jn[1],Bn),dn=pn[2],mn=[9,[0,Wle,kn]],_n=pn[1],hn=function(r,n,t){return w2e(mn,0,n,dn(r,n,t))},xn=x5e(r);l=[0,_n,function(r,n,t){return y2e(xn,hn,r,n,t)}];break r;case 11:var yn=i[3],wn=Cru(r,n,i[1]),gn=wn[3],qn=wn[1],In=yeu(r,n,wn[2],yn),Dn=function(r,n,t){return y2e(In,gn,r,n,t)};l=[0,xX,function(r,n,t){return y2e(qn,Dn,r,n,t)}];break r;case 12:var En=i[3],$n=i[7],Tn=i[6],Nn=i[5],Fn=i[2],Gn=i[1],Un=aWe(e);switch(En){case 0:var Mn=Tn;break;case 1:throw LQ([0,mS,Jxn],1);default:Mn=0}var Pn=d0(Mn);l=ntu(r,n,Gn,Fn,En,Un,Nn,function(r,n){return yeu(r,n,_ru(Pn),$n)},Mn,e[1]);break r;case 13:var Kn=i[2],On=i[5],Rn=i[4],Qn=i[3],Cn=i[1],Ln=Y6e(r,Wxn),Hn=Ln[2],Vn=Ln[1],Sn=Y6e(r,Zxn),zn=Sn[2],Jn=Sn[1],Wn=Y6e(r,Xxn),Zn=Wn[2],Xn=Wn[1],Yn=Y6e(r,Yxn),rt=Yn[2],nt=Yn[1],tt=aWe(Kn),et=Vru(0,n,lX),ut=L9e(r,sz),at=K9e(r),ft=utu(r,d$n,function(r,n,t){return y2e(at,ut,r,n,t)},etu(r,Cn)([0,zn,[0,Zn,[0,rt,[0,Hn,0]]]]),function(n){var t=Gnu(r,[0,tz,0]),e=e7e(5);function u(r,n,u){return y2e(e,t,r,n,u)}return function(r,t,e){return y2e(n,u,r,t,e)}},et),it=function(r,n,t){return y2e(nt,ft,r,n,t)},ct=geu(r,n,On),ot=function(r,n,t){return y2e(ct,it,r,n,t)},vt=function(r,n,t){return y2e(Xn,ot,r,n,t)},At=geu(r,n,Rn),st=function(r,n,t){return y2e(At,vt,r,n,t)},bt=function(r,n,t){return y2e(Jn,st,r,n,t)},lt=geu(r,n,Qn),Bt=function(r,n,t){return y2e(lt,bt,r,n,t)},jt=x4e(DX),kt=ntu(r,n,S$n,0,0,tt,0,function(r,n){return yeu(r,n,xX,Kn)},0,e[1]),pt=kt[2],dt=Dru(r,kt[1],0),mt=function(r,n,t){return y2e(Vn,Bt,r,n,t)};l=[0,xX,function(r,n,t){return y2e(pt,dt,r,n,y2e(jt,mt,r,n,t))}];break r;case 14:l=L2e(ryn);break r;case 15:if(1>>0){l=[0,0,P8e(r,D0(function(t){return[0,t[2][1],function(e){if(!age(t[3])){var u=Hru(r,n,t[2][2]),a=u[2],f=Dru(r,u[1],0);return function(r,n,t){return y2e(a,f,r,n,t)}}var i=Gru(n,t[2][2]);if(i){var c=i[1];switch(c[0]){case 1:var o=[8,[0,Wle,c[1]]];return function(r,n,t){return w2e(o,0,n,t)};case 2:return g4e(r,c[1])}}throw LQ([0,mS,nOn],1)}]},i[2]))];break r}}l=[0,xX,Z6e(r,nyn,yXe(e))]}f=l}var _t=f[2],ht=e[1];return[0,f[1],function(r,n,t){return D2e(ht,_t,r,0,t)}]}function geu(r,n,t){return yeu(r,n,0,t)}function qeu(r,n,t){var e=xeu(r,n,t),u=e[1],a=e[2],f=0!==u?Dru(r,u,0):x2e;return function(r,n,t){return y2e(a,f,r,n,t)}}function Ieu(r,n,t,e){function u(r,n,t){return w2e(tyn,0,n,v7e(r,n,t))}var a=b6e(r)(eyn,e);function f(r,n,t){return w2e(uyn,0,n,y2e(a,u,r,n,t))}var i=o7e();function c(r,n,t){return y2e(i,f,r,n,t)}var o=yeu(r,n,ayn,t);return[0,fyn,function(r,n,t){return y2e(o,c,r,n,t)}]}function Deu(r,n,t,e){var u=b6e(r)(iyn,e);function a(r,n,t){return w2e(cyn,0,n,y2e(u,z4e,r,n,t))}var f=o7e();function i(r,n,t){return y2e(f,a,r,n,t)}var c=yeu(r,n,oyn,t);return[0,0,function(r,n,t){return y2e(c,i,r,n,t)}]}function Eeu(r,n,t){var e=t[2];if(_Xe(t))var u=[0,function(r,n,t){return w2e(2,0,n,t)}];else{if("number"==typeof e)throw LQ([0,mS,xyn],1);switch(e[0]){case 0:u=[0,Lru(r,n,e[1])];break;case 1:var a=e[1];u=[1,function(n){var t=k6e(x2e,n);if("number"==typeof a)var e=J6e(gX);else switch(a[0]){case 0:e=a[1]?x2e:F6e(0);break;case 2:var u=meu(r)(vyn),f=aeu(r,0,a);e=function(r,n,t){return y2e(f,u,r,n,t)};break;case 3:var i=meu(r)(Ayn),c=aeu(r,0,a);e=function(r,n,t){return y2e(c,i,r,n,t)};break;case 4:var o=meu(r)(tz),v=aeu(r,0,a);e=function(r,n,t){return y2e(v,o,r,n,t)};break;case 5:var A=meu(r)(syn),s=aeu(r,byn,a),b=function(r,n,t){return y2e(s,A,r,n,t)},l=C5e(r,6);e=function(r,n,t){return y2e(l,b,r,n,t)};break;case 7:var B=meu(r)(lyn),j=aeu(r,0,a);e=function(r,n,t){return y2e(j,B,r,n,t)};break;case 8:var k=meu(r)(Byn),p=aeu(r,0,a);e=function(r,n,t){return y2e(p,k,r,n,t)};break;case 9:var d=meu(r)(jyn),m=aeu(r,0,a);e=function(r,n,t){return y2e(m,d,r,n,t)};break;case 10:var _=meu(r)(kyn),h=aeu(r,pyn,a),x=function(r,n,t){return y2e(h,_,r,n,t)},y=C5e(r,11);e=function(r,n,t){return y2e(y,x,r,n,t)};break;case 13:var w=meu(r)(dyn),g=aeu(r,0,a);e=function(r,n,t){return y2e(g,w,r,n,t)};break;case 14:var q=i9e(r,0),I=aeu(r,0,a);e=function(r,n,t){return y2e(I,q,r,n,t)};break;case 15:var D=T8e(r,myn),E=aeu(r,0,a);e=function(r,n,t){return y2e(E,D,r,n,t)};break;case 1:case 6:var $=c8e(r),T=aeu(r,0,a);e=function(r,n,t){return y2e(T,$,r,n,t)};break;default:e=Z6e(r,_yn,TXe(a))}return function(r,n,u){return y2e(e,t,r,n,u)}}];break;case 2:var f=e[1],i=Y6e(r,yyn),c=i[2],o=function(t,e){if(!e)return[0,x2e];var u=e[2],a=Eeu(r,n,e[1]),f=o(eH(t,hyn),u),i=jtu(a)(f),v=d9e(0,t);return jtu([0,function(r,n,t){return y2e(c,v,r,n,t)}])(i)},v=i[1],A=o(wyn,f);u=jtu([0,v])(A);break;case 3:var s=e[1],b=t[3],l=Y6e(r,gyn),B=l[2],j=function(t){if(!t)return[0,x2e];var e=t[1][2],u=e[1],a=t[2],f=Eeu(r,n,e[2]),i=j(a),c=jtu(f)(i),o=Q8e(r,b,u);return jtu([0,function(r,n,t){return y2e(B,o,r,n,t)}])(c)},k=l[1],p=j(s);u=jtu([0,k])(p);break;case 4:var d=e[1];if(_Xe(d))var m=[1,function(r){var n=k6e(x2e,r),t=v5e();return function(r,e,u){return y2e(t,n,r,e,u)}}];else{var _=Y6e(r,qyn),h=_[2],x=_[1];m=[1,function(t){var e=ktu(t,Eeu(r,n,d)),u=$5e(r,d[3]);function a(r,n,t){return y2e(u,e,r,n,t)}var f=k6e(function(r,n,t){return y2e(h,a,r,n,t)},t),i=v5e();function c(r,n,t){return y2e(i,f,r,n,t)}function o(r,n,t){return y2e(h,c,r,n,t)}return function(r,n,t){return y2e(x,o,r,n,t)}}]}u=m;break;case 5:var y=e[1];if(y!==rA){if(_Xe(e[2]))var w=[1,function(n){var t=k6e(x2e,n),e=M5e(r,y);return function(r,n,u){return y2e(e,t,r,n,u)}}];else{var g=e[2],q=Y6e(r,Iyn),I=q[2],D=q[1];w=[1,function(t){var e=ktu(t,Eeu(r,n,g)),u=U5e();function a(r,n,t){return y2e(u,e,r,n,t)}var f=k6e(function(r,n,t){return y2e(I,a,r,n,t)},t),i=M5e(r,y);function c(r,n,t){return y2e(i,f,r,n,t)}function o(r,n,t){return y2e(I,c,r,n,t)}return function(r,n,t){return y2e(D,o,r,n,t)}}]}var E=w}else{var $=e[2];if(_Xe($))var T=[0,function(r,n,t){return w2e(2,0,n,t)}];else{var N=Eeu(r,n,$);T=jtu([0,U5e()])(N)}E=T}u=E;break;default:var F=e[2],G=Eeu(r,n,e[1]),U=Eeu(r,n,F),M=Y6e(r,Dyn),P=M[2],K=M[1],O=jtu([0,P])(U),R=ptu(jtu([0,P])(G))(O);u=jtu([0,K])(R)}}var Q=t[1];if(0===u[0]){var C=u[1];return[0,function(r,n,t){return D2e(Q,C,r,0,t)}]}var L=u[1];return[1,function(r){var n=eS(L,r);return function(r,t,e){return D2e(Q,n,r,0,e)}}]}function $eu(r,n,t){var e=zJe(t),u=gJe[13].call(null,function(n,t,e){return Kru(r,e,n,0,t)[1]},e,n);return[0,u,Eeu(r,u,t)]}function Teu(r,n,t,e,u){var a=u[2];switch(a[0]){case 0:var f=a[1],i=f[2];r:{n:if("number"!=typeof i&&0===i[0]){var c=i[1],o=a[2];if(!z2e[3].call(null,c,e))break n;var v=Geu(r,n,o),A=v[1],s=v[2];if("number"!=typeof A&&1===A[0]){var b=A[1],l=o[3][1],B=z2e[28].call(null,c,e),j=n[3],k=$ru[4].call(null,c,[0,[4,b,B],l],n[2]),p=[0,[0,n[1],k,j],x2e,function(n){return uS(s,r,n),x2e}];break r}throw LQ([0,mS,$yn],1)}var d=a[2];if(d[3][3]){if(!d[3][3])throw LQ([0,mS,Qyn],1);if(Ueu(Tru,f,Geu(r,n,d)[1])?1:0)var m=Meu(r,n,u),_=m[2],h=[0,eS(m[1],n),x2e,function(n){return uS(_,r,n),x2e}];else h=[0,n,x2e,function(n){return _6e(r,fX)}]}else{var x=a[2],y=zJe(f),w=gJe[13].call(null,function(n,e,u){var a=u[2],f=teu(r,u[1],t,n,e),i=f[2];return[0,f[1],function(r,n,t){return y2e(a,i,r,n,t)}]},y,[0,n,x2e]),g=w[1],q=w[2],I=f[1],D=f[2];n:{var E=function(r,n,t){return D2e(I,q,r,0,t)};if("number"==typeof D)var $=x2e,T=0,N=x2e;else{switch(D[0]){case 0:var F=Cru(r,g,D[1]);$=F[3],T=[0,F[2]],N=F[1];break n;case 2:var G=D[1];if(1!==d0(G)){var U=q2e(function(n,t){return dtu(r,Eeu(r,g,t))},y0(G));$=U,T=[0,[0,d0(G)]],N=x2e;break n}}$=dtu(r,Eeu(r,g,f)),T=Eyn,N=x2e}}var M=f[1],P=f[1];h=[0,g,E,function(n){var t=weu(r,n,T,x),e=t[1],u=t[2],a=T?Dru(r,e,T[1]):gru(0,e);function f(r,n,t){return y2e(u,a,r,n,t)}var i=x[1];return function(r,n,t){return D2e(M,N,r,0,D2e(i,f,r,0,D2e(P,$,r,0,t)))}}]}p=h}var K=p;break;case 1:var O=a[1],R=a[3],Q=a[2],C=gJe[29].call(null,O,t);r:{if(C){var L=C[1];n:{if("number"==typeof L){if(0===L)break n}else if(0===L[0])break n;var H=1;break r}}H=0}if(!H)throw LQ([0,mS,Tyn],1);var V=teu(r,n,t,O,[10,Q]);K=[0,V[1],V[2],function(n){var t=Cru(r,n,O),e=t[3],u=t[1],a=yeu(r,n,t[2],R);function f(r,n,t){return y2e(a,e,r,n,t)}return function(r,n,t){return y2e(u,f,r,n,t)}}];break;default:var S=a[1],z=a[3][2],J=a[2];if(2!==z[0])throw LQ([0,mS,Nyn],1);var W=z[2],Z=z[1],X=gJe[28].call(null,S,t);if("number"==typeof X&&1===X){K=[0,Uru(r,n,S,J)[1],x2e,function(n){var t=Gru(n,S);if(t){var e=t[1];if(1===e[0]){var u=[9,[0,Wle,e[1]]],a=function(r,n,t){return w2e(u,0,n,t)},f=R8e(r,W),i=function(r,n,t){return y2e(f,a,r,n,t)},c=geu(r,n,Z);return function(r,n,t){return y2e(c,i,r,n,t)}}}throw LQ([0,mS,rOn],1)}];break}throw LQ([0,mS,XDn],1)}var Y=K[3],rr=K[2],nr=u[1];return[0,K[1],function(r,n,t){return D2e(nr,rr,r,0,t)},function(r,n){var t=Y(r),e=u[1];return function(r,u,a){return D2e(e,t,r,0,aS(n,r,u,a))}}]}function Neu(r,n,t,e,u){for(var a=n[1],f=gJe[34].call(null,function(r){var n=r[1];switch(n[0]){case 0:return[1,n[1]];case 1:return 1;case 2:return 2;case 3:return 0;default:return rEn}},n[2]),i=PJe(uWe,t)[2],c=KJe(f,i),o=gJe[34].call(null,function(r){return 0},i),v=RJe(i),A=o,s=qJe[8].call(null,v,u);;){var b=G0(function(r,n){var t=r[2],e=r[1],u=uS(Wtu,c,t),f=uWe(n),i=f[2],o=VJe(f[1]),v=RJe(t),A=qJe[8].call(null,v,o),s=n[2];switch(s[0]){case 0:var b=s[2][3][3]?gJe[34].call(null,function(r){return 0},i):gJe[34].call(null,function(r){return[0,neu(r)]},i),l=b;break;case 1:l=gJe[34].call(null,function(r){return[1,neu(r)]},i);break;default:l=gJe[34].call(null,function(r){return 1},i)}var B=G0(wtu,Ztu,[0,t,[0,l,[0,reu(a,u,e,A),0]]]),j=RJe(i);return[0,qJe[7].call(null,e,j),B]},[0,qJe[1],A],t),l=b[2],B=b[1],j=RJe(i);if(!qJe[12].call(null,B,j))throw LQ([0,mS,YDn],1);var k=uS(wtu,l,reu(a,l,B,s));if(gJe[11].call(null,QL,A,k))break;A=k}var p=function n(t,u){if(!u)return[0,t,x2e,function(r){return Rru}];var a=u[1];if(!u[2])return Teu(r,t,k,e,a);var f=u[2],i=Teu(r,t,k,e,a),c=i[3],o=i[2],v=n(i[1],f),A=v[3],s=v[2];return[0,v[1],function(r,n,t){return y2e(o,s,r,n,t)},function(r){function n(n){return c(r,n)}var t=eS(A,r);return function(r){return eS(n,eS(t,r))}}]}(n,t),d=p[1],m=p[3],_=p[2];return[0,d,function(r){var n=uS(m,d,r);return function(r,t,e){return y2e(_,n,r,t,e)}}]}function Feu(r,n,t,e){return Neu(r,n,t,z2e[1],e)}function Geu(r,n,t){var e=t[2];r:switch(e[0]){case 0:var u=e[1],a=u[1];if("number"==typeof a)switch(a){case 0:var f=u[2];if(!f)return[0,0,function(r,n){return 0}];var i=t1(D0(function(t){return Geu(r,n,t)},f)),c=i[2];return[0,[4,i[1]],function(r,n){return N0(function(t){return uS(t,r,n)},c)}];case 1:var o=u[2];if(!o)break r;if(o[2])break r;var v=Geu(r,n,o[1]);return[0,[6,v[1]],v[2]]}else switch(a[0]){case 4:var A=u[2];if(!A)break r;if(A[2])break r;var s=a[1],b=Geu(r,n,A[1]),l=b[1],B=b[2];if("number"==typeof l||4!==l[0])j=L2e(Myn);else var j=l[1];return[0,h0(j,s),B];case 5:var k=u[2];if(!k)break r;if(k[2])break r;var p=a[1],d=Geu(r,n,k[1]);return[0,[5,[0,p,d[1]]],d[2]];case 6:var m=u[2];if(!m)break r;if(m[2])break r;var _=a[1],h=Geu(r,n,m[1]),x=h[1],y=h[2];if("number"==typeof x||2!==x[0])w=L2e(Pyn);else var w=x[1];return[0,H0(_,w),y];case 8:if(a[1])break r;var g=t1(D0(function(t){return Geu(r,n,t)},u[2])),q=g[2];return[0,[3,g[1]],function(r,n){return N0(function(t){return uS(t,r,n)},q)}]}break;case 1:var I=e[2],D=Gru(n,I);n:{if(D){var E=D[1];if(3===E[0]){var $=E[1];break n}}$=eS(L2e(Kyn),I)}return[0,$,function(r,n){return 0}];case 2:return[0,[7,eeu(e[1])],function(r,n){return 0}];case 4:var T=e[1],N=function(n,t){if(!t)return[0,function(r){return r},function(r,n){}];var e=t[1];if(!t[2])return Meu(r,n,e);var u=t[2],a=Meu(r,n,e),f=a[1],i=a[2],c=N(eS(f,n),u),o=c[2],v=c[1];return[0,function(r){return eS(v,eS(f,r))},function(r,n){return uS(i,r,n),uS(o,r,n)}]},F=T[2],G=N(n,T[1]),U=G[1],M=G[2],P=Geu(r,eS(U,n),F),K=P[2];return[0,P[1],function(r,n){var t=eS(U,n);return uS(M,r,t),uS(K,r,t)}];case 12:var O=e[7],R=e[5],Q=e[3],C=e[2],L=e[1],H=O[2];n:{var V=e[6],S=e[4];if(!C&&!Q&&!S&&0===H[0]){var z=H[1],J=z[2],W=z[1];t:{if("number"==typeof W)switch(W){case 4:var Z=0;break t;case 6:Z=L2e(Uyn);break t}else if(9===W[0]){Z=0;break t}Z=1}if(Z){var X=d0(J);if(d0(R)===X&&C0(function(r,n){return QL(n[2],[1,0,r[2]])},R,J)){var Y=[0,W];break n}}}Y=0}switch(Q){case 0:var rr=V;break;case 1:throw LQ([0,mS,Oyn],1);default:rr=0}return rtu(r,C,Q,L,R,function(r,n){var t=YJe(O);return N0(function(r){var t=1-$ru[3].call(null,r,n[2]);return t?uS(L2e(Gyn),L,r):t},gJe[45].call(null,t)),yeu(r,n,_ru(d0(rr)),O)},Y,rr,t[1]);case 15:if(1>>0)return[0,[2,D0(function(r){var t=Gru(n,r[2][2]);n:{if(t){var e=t[1];if(3===e[0]){var u=e[1];break n}}var a=r[2][2];u=eS(L2e(Fyn),a)}return[0,r[2][1],u]},e[2])],function(r,n){return 0}]}throw LQ([0,mS,Ryn],1)}function Ueu(r,n,t){for(var e=n,u=t;;){var a=e[2];if("number"==typeof a)return[0,r];r:switch(a[0]){case 0:var f=r[3],i=$ru[4].call(null,a[1],[0,[3,u],e[3]],r[2]);return[0,[0,r[1],i,f]];case 1:var c=a[1];if("number"!=typeof u&&7===u[0]){var o=u[1];if(0===Q3e(eeu(c),o))return[0,r]}return 0;case 2:var v=a[1];if("number"==typeof u)var A=0;else{if(4!==u[0])throw LQ([0,mS,Lyn],1);A=u[1]}return K0(function(r,n,t){return r?Ueu(r[1],n,t):0},[0,r],v,A);case 3:var s=a[1];if("number"!=typeof u&&2===u[0]){var b=u[1];return G0(function(r,n){var t=J0(function(r){return n[2][1]===r[1]?1:0},b);if(!r)return 0;if(t)return Ueu(r[1],n[2][2],t[1][2]);throw LQ([0,mS,Cyn],1)},[0,r],s)}throw LQ([0,mS,Hyn],1);case 4:var l=a[1];if("number"!=typeof u)switch(u[0]){case 6:e=l,u=u[1];break r;case 7:if("number"==typeof u[1])return 0}throw LQ([0,mS,Vyn],1);case 5:var B=a[2],j=a[1];if("number"!=typeof u&&5===u[0]){var k=u[1],p=k[2];if(j!==k[1])return 0;e=B,u=p;break}throw LQ([0,mS,Syn],1);default:var d=a[2],m=Ueu(r,a[1],u);if(0!==m)return m;e=d}}}function Meu(r,n,t){var e=t[2];if(0!==e[0])return L2e(Jyn);var u=e[1],a=Geu(r,n,e[2]),f=a[2],i=a[1];return[0,function(r){var n=Ueu(r,u,i);if(n)return n[1];throw LQ([0,mS,zyn],1)},function(r,n){return uS(f,r,n)}]}function Peu(r,n){return L0(r,0)?0:[0,[0,L0(r,rle[1]),n]]}var Keu=iH(pj);function Oeu(r){if(cle[1])switch(r){case 3:return Jj;case 4:return BD;case 5:return 8;case 6:return 4;case 8:return Wo;case 9:return 49152;case 10:return 24;case 11:return 12;case 14:return td;case 2:case 7:return 2;default:throw LQ([0,mS,nfe],1)}r:{if(12<=r){if(14===r)break r}else if(2<=r)break r;throw LQ([0,mS,tfe],1)}return 0}function Reu(r){return[2,D0(function(r){return[0,r]},r)]}function Qeu(r,n){switch(n[0]){case 0:return J2(r,n[1]);case 1:return W2(r,n[1]);case 2:return N0(function(n){return Qeu(r,n)},n[1]);default:return S2(r,n[1])}}function Ceu(r){var n=O2(16);return N0(function(r){return Qeu(n,r)},r),R2(n)}function Leu(r){return[0,[0,0],r]}function Heu(r,n){return"number"!=typeof r&&3===r[0]&&"number"!=typeof n&&3===n[0]?r[1][1]===n[1][1]?1:0:QL(r,n)}function Veu(r,n){var t=d0(r[1]),e=eS(Qle[47],t);return r[1]=xY(r[1],[0,n,0]),e}var Seu=p_e([0,O1]),zeu=m2([0,O1]),Jeu=m2([0,O1]),Weu=p_e([0,e2]);function Zeu(r,n){var t=zeu[4].call(null,n,r[21][1]);return r[21][1]=t,Zye(n)}function Xeu(r,n){var t=Veu(r[24],n);return uS(Qle[7],r[22],t)}function Yeu(r,n,t){return Veu(r[25],[0,n,t]),0}function ruu(r,n){return Veu(r[5],n),0}function nuu(r,n,t){if(z2e[3].call(null,n,r[9][1]))throw LQ([0,mS,Jae],1);var e=Veu(r[8],[0,t,n]),u=z2e[4].call(null,n,e,r[9][1]);r[9][1]=u}function tuu(r,n,t){var e=[0,0];return nuu(r,n,e),function(r){var n=[16,[0,Wle,[0,r]]];return zje(e,[0,Wle,[0,[0,0,t],[0,Wle,_2e(function(r,t,e){return w2e(n,0,t,e)})]]])}}function euu(r,n,t,e){return tuu(r,n,t)(e)}function uuu(r,n,t,e){var u=[0,0];nuu(r,n,u);var a=[16,[0,Wle,[1,e]]];return zje(u,[0,Wle,[0,[0,1,t],[0,Wle,_2e(function(r,n,t){return w2e(a,0,n,t)})]]])}function auu(r,n){var t=z2e[29].call(null,n,r[9][1]);if(t)return t[1];throw LQ([0,lS,eS(I6(zae),n)],1)}function fuu(r,n){var t=[0,Wle,[3,[0,Wle,auu(r,n)]]];return ruu(r,[0,Wle,[0,qje(n),t]])}function iuu(r){var n=r[4];return function(r){return W2e(n,r)}}function cuu(r){var n=r[4];return function(r,t){return Z2e(n,r,t)}}function ouu(r,n){return Zje(function(t){return iuu(r)(n)})}function vuu(r,n){var t=z2e[29].call(null,n,r[10][1]);if(t)return t[1];var e=ouu(r,n),u=z2e[4].call(null,n,e,r[10][1]);return r[10][1]=u,e}function Auu(r,n){return Yje(vuu(r,n))}function suu(r){var n=r[4];return function(r){return Y2e(n,r)}}function buu(r){var n=r[4];return function(r,t,e,u){return n3e(n,r,t,e,u)}}function luu(r){var n=r[4];return function(r,t){return e3e(n,r,t)}}function Buu(r){var n=r[4];return function(r,t){return t3e(n,r,t)}}function juu(r,n){return n?n[2]?[0,[0,Wle,suu(r)([0,0,n])]]:[1,[0,n[1]]]:Sae}function kuu(r,n,t,e){var u=juu(r,n);return function(r,n,a){return E2e(u,t,e,r,n,a)}}function puu(r,n,t){var e=juu(r,n);return function(r,n,u){return T2e(e,t,r,n,u)}}function duu(r,n){return uS(r[3],r,n)}function muu(r,n){var t=duu(r,n);return function(r,n,e){return E2e(rX,t,x2e,r,n,e)}}function _uu(r,n){var t=duu(r,n);return function(r,n,e){return E2e(rX,x2e,t,r,n,e)}}function huu(r,n){if(r[15][1])throw LQ([0,lS,"Static memory frozen"],1);var t=r[13][1];return r[13][1]=t+(n+3&-4)|0,t}function xuu(r,n,t){var e=xY(r[14][1],[0,[0,n,t],0]);r[14][1]=e}function yuu(r,n){var t=Weu[29].call(null,n,r[6][1]);if(t)return t[1];var e=r[7][1],u=Weu[4].call(null,n,e,r[6][1]);return r[6][1]=u,r[7][1]=r[7][1]+1|0,e}function wuu(r,n){var t=Ceu(n),e=Seu[29].call(null,t,r[11][1]);if(e)return e[1];var u=huu(r,bH(t)),a=xY(r[14][1],[0,[0,u,t],0]);r[14][1]=a;var f=u+f3e[1]|0,i=Seu[4].call(null,t,f,r[11][1]);return r[11][1]=i,f}function guu(r,n){var t=f3e[2];return wuu(r,n)+t|0}function quu(r){return r[15][1]=1,r[13][1]}function Iuu(r){switch(r){case 0:throw LQ([0,mS,Qae],1);case 1:return Cae;case 2:return Lae;case 3:return Hae;default:return Vae}}function Duu(r,n){var t=Iuu(ule[1]);if(n||ale[1])e=t;else var e=ns+t;return luu(r)(Rae,e+"_gc")}function Euu(r,n){var t=Jeu[4].call(null,n,r[26][1]);r[26][1]=t}function $uu(r){if(1-r[27][1]&&(r[27][1]=1,1>>0))return Euu(r,Kae),Euu(r,Oae)}function Tuu(r){var n=[16,[0,Wle,[0,r]]];return function(r,t,e){return w2e(n,0,t,e)}}function Nuu(r){var n=[16,[0,Wle,[1,r]]];return function(r,t,e){return w2e(n,0,t,e)}}var Fuu=Tuu(0),Guu=Tuu(1);function Uuu(r,n){var t=[20,[0,r]];function e(r,n,e){return w2e(t,0,n,e)}var u=Tuu(n);return function(r,n,t){return y2e(u,e,r,n,t)}}var Muu=12,Puu=11,Kuu=10;function Ouu(r){if(!iV(r,0)){return function(r,n,t){return w2e(2,0,n,Fuu(r,n,t))}}if(!iV(r,1))return x2e;if(ZL(r,0)){var n=NEe[22].call(null,r),t=NEe[31].call(null,n);if(QL(eS(NEe[21],t),1)){var e=NEe[22].call(null,r),u=NEe[33].call(null,e);return Uuu(Kuu,eS(NEe[21],u))}}return Uuu(2,r)}function Ruu(r){return iV(r,0)?Uuu(8,r):x2e}function Quu(r,n){var t=[18,[0,r]];function e(r,n,e){return w2e(t,0,n,e)}var u=Tuu(n);return function(r,n,t){return y2e(u,e,r,n,t)}}function Cuu(r){return iV(r,0)?Quu(0,r):function(r,n,t){return w2e(Pae,0,n,t)}}function Luu(r,n){var t=[20,[1,r]];function e(r,n,e){return w2e(t,0,n,e)}var u=Nuu(n);return function(r,n,t){return y2e(u,e,r,n,t)}}function Huu(r){return iV(r,Mae)?Luu(12,r):x2e}function Vuu(r){return iV(r,Uae)?Luu(11,r):x2e}function Suu(r){return iV(r,Gae)?Luu(10,r):x2e}function zuu(r){return iV(r,Dae)?Luu(9,r):x2e}function Juu(r){function n(r,n,t){return w2e(Iae,0,n,t)}var t=Nuu(r);return function(r,e,u){return y2e(t,n,r,e,u)}}function Wuu(r){var n=O2(4);return H2(n,b0(r&Cq)),H2(n,b0((r>>>8|0)&Cq)),H2(n,b0((r>>>16|0)&Cq)),H2(n,b0((r>>>24|0)&Cq)),R2(n)}function Zuu(r,n,t){return Q2e(n,t,duu(r,Qc+n))}function Xuu(r,n,t){var e=Xeu(r,n);Yeu(r,e,t);var u=[8,[0,Wle,e]],a=[9,[0,Wle,e]];return[0,function(r,n,t){return w2e(a,0,n,t)},function(r,n,t){return w2e(u,0,n,t)},e]}function Yuu(r,n){var t=Xuu(r,0,n);return[0,t[1],t[2]]}function rau(r,n){var t=Xuu(r,1,n);return[0,t[1],t[2]]}function nau(r,n,t){var e=[3,[0,Wle,1]];function u(r,n,t){return w2e(e,0,n,t)}function a(r,n,e){return y2e(t,u,r,n,e)}function f(r,n,t){return E2e(rX,a,x2e,r,n,t)}function i(r,t,e){return y2e(n,f,r,t,e)}return function(r,n,t){return N2e(i,r,n,t)}}function tau(r,n){var t=Yuu(r,wae),e=t[2],u=t[1],a=Yuu(r,gae),f=a[2],i=a[1],c=Uuu(0,1);function o(r,n,t){return y2e(c,i,r,n,t)}function v(r,n,t){return y2e(f,o,r,n,t)}var A=eS(n,f);function s(r,n,t){return w2e(qae,0,n,t)}function b(r,n,t){return y2e(e,s,r,n,t)}var l=nau(0,function(r,n,t){return y2e(f,b,r,n,t)},function(r,n,t){return y2e(A,v,r,n,t)});function B(r,n,t){return y2e(i,l,r,n,t)}var j=Tuu(0);function k(r,n,t){return y2e(j,B,r,n,t)}return function(r,n,t){return y2e(u,k,r,n,t)}}function eau(r){return 1=d0(n))return x2e;var t=d0(n)-1|0;return q2e(function(n,e){if(0!==e)throw LQ([0,mS,hae],1);var u=[11,[0,Wle,uau(r,t-n|0)]];return function(r,n,t){return w2e(u,0,n,t)}},n)}function iau(r,n,t){var e=fau(r,n),u=G2e(function(e){function u(r,n,t){return U2e(e,r,n,t)}var a=aau(r,n);return eS(t,function(r,n,t){return y2e(a,u,r,n,t)})}),a=puu(r,eau(n),u);return function(r,n,t){return y2e(a,e,r,n,t)}}function cau(r,n,t,e){var u=d0(t),a=d0(n),f=[0,r[1],r[2],r[3],r[4],r[5],r[6],r[7],r[8],r[9],r[10],r[11],r[12],r[13],r[14],r[15],r[16],r[17],r[18],r[19],r[20],r[21],a,u,[0,0],[0,0],r[26],r[27]];F0(function(r,n){return Yeu(f,r,n[1])},n);var i=eau(t),c=[0,D0(function(r){return r[2]},n),i],o=aau(f,t),v=eS(e,f),A=_2e(function(r,n,t){return y2e(v,o,r,n,t)}),s=f[25][1],b=f[24][1];return[0,[0,Wle,[0,[0,Wle,suu(r)(c)],b,A]],s]}function oau(r,n,t,e,u){return Xje(vuu(r,n),[jG,function(n){return cau(r,t,e,u)}])}function vau(r,n,t,e,u,a){if(0===r){var f=$0(function(r,n){var t=[8,[0,Wle,r]];return function(r,n,e){return w2e(t,0,n,e)}},e);oau(n,t,e,u,function(r){return uS(a,r,f)});var i=fau(n,u),c=[6,[0,Wle,Auu(n,t)]];return function(r,n,t){return w2e(c,0,n,aS(i,r,n,t))}}if(1!==r)throw LQ([0,mS,_ae],1);var o=D0(function(r){return Xuu(n,r[2],r[1])},e);var v=function r(n,t,e){return t?uS(n,t[1],r(n,t[2],e)):e}(function(r,n){var t=r[1];return function(r,e,u){return y2e(n,t,r,e,u)}},o,x2e),A=D0(function(r){return r[2]},o),s=fau(n,u),b=aau(n,u);function l(r,n,t){return y2e(b,s,r,n,t)}var B=uS(a,n,A);function j(r,n,t){return y2e(B,l,r,n,t)}return function(r,n,t){return y2e(v,j,r,n,t)}}function Aau(r,n,t,e,u){return vau(r,n,t,0,e,function(r,n){if(n)throw LQ([0,pS,mae],1);return eS(u,r)})}function sau(r,n,t,e,u,a){return vau(r,n,t,[0,e,0],u,function(r,n){if(n&&!n[2])return uS(a,r,n[1]);throw LQ([0,pS,dae],1)})}function bau(r,n,t,e,u,a){return vau(r,n,t,[0,e[1],[0,e[2],0]],u,function(r,n){if(n){var t=n[2];if(t&&!t[2])return aS(a,r,n[1],t[1])}throw LQ([0,pS,pae],1)})}function lau(r,n,t,e,u,a){return vau(r,n,t,[0,e[1],[0,e[2],[0,e[3],0]]],u,function(r,n){if(n){var t=n[2];if(t){var e=t[2];if(e&&!e[2])return fS(a,r,n[1],t[1],e[1])}}throw LQ([0,pS,kae],1)})}function Bau(r){var 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Dau=FEe[24].call(null,Keu),Eau=FEe[31].call(null,Dau);if(QL(eS(FEe[23],Eau),Nae)){var $au=FEe[24].call(null,Keu),Tau=FEe[33].call(null,$au),Nau=Suu(eS(FEe[23],Tau));break r}}Nau=Luu(2,Keu)}else Nau=x2e;else{var Fau=Nuu(Fae);Nau=function(r,n,t){return w2e(2,0,n,Fau(r,n,t))}}}function Gau(r,n){var t=luu(r)(K6t,P6t),e=Tuu(n);return function(r,n,u){return y2e(e,t,r,n,u)}}function Uau(r){var n=[13,[0,0,2,iH(zC(4,r)+f3e[2]|0),0]];return function(r,t,e){return w2e(n,0,t,e)}}function Mau(r){var n=[14,[0,0,2,iH(zC(4,r)+f3e[2]|0),0]];return function(r,t,e){return w2e(n,0,t,e)}}function Pau(r){return function(r,n,t){return w2e(8,0,n,t)}}function Kau(r){var n=ile[1];if(n)return n[1];throw LQ([0,mS,E6t],1)}function Oau(r){return zC(Kau(),pj)}function Rau(r){var n=[11,[0,Wle,auu(r,g6t)]];return function(r,t,e){return w2e(n,0,t,e)}}function Qau(r){var n=[12,[0,Wle,auu(r,w6t)]];return function(r,t,e){return w2e(n,0,t,e)}}function Cau(r){return Aau(1,r,y6t,0,function(r){function n(r,n,t){return 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Sau(r,n,t){var e=Yuu(r,B6t),u=e[2],a=e[1],f=Yuu(r,n),i=f[2],c=f[1],o=Qau(r);function v(r,n,t){return w2e(j6t,0,n,o(r,n,t))}var A=Ouu(4);function s(r,n,t){return y2e(A,v,r,n,t)}function b(r,n,t){return y2e(u,s,r,n,t)}var l=Rau(r);function B(r,n,t){return y2e(l,b,r,n,t)}var j=eS(t,i),k=Rau(r);function p(r,n,t){return y2e(x2e,k,r,n,t)}var d=Qau(r);function m(r,n,t){return w2e(k6t,0,n,y2e(d,p,r,n,t))}var _=Ouu(4);function h(r,n,t){return y2e(_,m,r,n,t)}var x=Rau(r);function y(r,n,t){return y2e(u,h,r,n,t)}var w=Cau(r);function g(r,n,t){return w2e(p6t,0,n,E2e(rX,w,x2e,r,n,y2e(x,y,r,n,t)))}function q(r,n,t){return y2e(u,g,r,n,t)}var I=Uuu(4,4);function D(r,n,t){return y2e(I,q,r,n,t)}var E=Rau(r);function $(r,n,t){return y2e(j,B,r,n,t)}function T(r,n,t){return y2e(E,D,r,n,y2e(c,$,r,n,t))}return function(r,n,t){return y2e(a,T,r,n,t)}}function zau(r,n,t){var e=Sau(r,n,t),u=Uuu(4,4);function a(r,n,t){return y2e(u,e,r,n,t)}var f=Uuu(0,3);return function(r,n,t){return y2e(f,a,r,n,t)}}function Jau(r){var n=[11,[0,Wle,auu(r,l6t)]];return function(r,t,e){return w2e(n,0,t,e)}}function Wau(r){var n=[12,[0,Wle,auu(r,b6t)]];return function(r,t,e){return w2e(n,0,t,e)}}function Zau(r,n,t,e){var u=Hau(r,t+1|0),a=Wau(r);function f(r,n,t){return w2e(o6t,0,n,y2e(a,u,r,n,t))}var i=Jau(r);function c(r,n,t){return y2e(i,f,r,n,t)}var o=_uu(r,v6t);function v(r,n,t){return w2e(A6t,0,n,y2e(o,c,r,n,t))}var A=Rau(r);function s(r,n,t){return y2e(A,v,r,n,t)}var b=Jau(r);function l(r,n,t){return y2e(b,s,r,n,t)}var B=eS(e,0);function j(r,n,t){return y2e(B,l,r,n,t)}var k=Wau(r);function p(r,n,t){return y2e(k,j,r,n,t)}var d=Rau(r);function m(r,n,t){return w2e(s6t,0,n,y2e(d,p,r,n,t))}var _=Jau(r);function h(r,n,t){return y2e(_,m,r,n,t)}var x=Lau(r,t+1|0);return function(r,n,t){return y2e(x,h,r,n,t)}}function Xau(r,n){var t=[13,[0,0,2,iH(zC(n+1|0,4)),0]];function e(r,n,e){return w2e(t,0,n,e)}var u=Jau(r);return function(r,n,t){return y2e(u,e,r,n,t)}}function Yau(r,n){var t=[13,[0,0,2,iH(zC(n+1|0,4)),0]];function e(r,n,e){return w2e(c6t,0,n,w2e(t,0,n,e))}var u=Jau(r);return function(r,n,t){return y2e(u,e,r,n,t)}}function rfu(r,n){var t=zC(n+1|0,4);return sau(1,r,eM+SL(zR,n),i6t,0,function(r,n){var e=[14,[0,0,2,iH(t),0]];function u(r,n,t){return w2e(e,0,n,t)}function a(r,t,e){return y2e(n,u,r,t,e)}var f=Jau(r);return function(r,n,t){return y2e(f,a,r,n,t)}})}function nfu(r){return luu(r)(u6t,e6t)}function tfu(r){return luu(r)(r6t,Y3t)}function efu(r){return r?1:0}function ufu(r){return Tuu(efu(r))}function afu(r,n,t){return w2e(aY,0,n,t)}function ffu(r){return Cuu(1)}function ifu(r,n,t,e){var u=kuu(r,n,e,t),a=Uuu(7,1);return function(r,n,t){return y2e(a,u,r,n,t)}}function cfu(r,n,t,e){var u=kuu(r,n,e,t),a=Uuu(7,1);return function(r,n,t){return w2e(W3t,0,n,y2e(a,u,r,n,t))}}function ofu(r){if(cle[1])switch(r){case 14:return 21;case 2:case 7:return 30;case 6:case 11:return 28;case 5:case 10:return 27;case 4:case 9:return 16;case 3:case 8:return 8;default:throw LQ([0,mS,Yae],1)}switch(r){case 14:return 21;case 2:case 7:case 6:case 11:case 5:case 10:return 31;case 4:case 9:return 16;case 3:case 8:return 8;default:throw LQ([0,mS,rfe],1)}}function vfu(r){return ofu(r)-1|0}function Afu(r,n){switch(r){case 5:case 6:var t=dH(z3t,ofu(r)),e=$H(J3t,n);return e?TH(n,t):e;case 2:case 7:case 10:case 11:var u=vfu(r),a=$H(oH(dH(V3t,u)),n),f=dH(S3t,u);return a?TH(n,f):a;default:throw LQ([0,mS,H3t],1)}}function sfu(r,n){if(12>r)switch(r){case 0:case 1:case 3:case 4:case 8:case 9:break;default:var t=cH(n)<<(32-ofu(r)|0);return Oeu(r)|t}throw LQ([0,mS,L3t],1)}function bfu(r,n,t,e,u){switch(n){case 5:case 6:var a=kuu(r,t,e,u),f=sau(1,r,O2e(n,C3t),Q3t,R3t,function(r,t){function e(r,n,t){return w2e(F3t,0,n,t)}var u=Huu(iH(ofu(n)));function a(r,n,t){return y2e(u,e,r,n,t)}return function(r,n,e){return y2e(t,a,r,n,e)}});return function(r,n,t){return y2e(f,a,r,n,t)};case 2:case 7:case 10:case 11:var i=kuu(r,t,e,u),c=sau(1,r,O2e(n,O3t),K3t,P3t,function(r,t){function e(r,n,t){return w2e(G3t,0,n,t)}var u=Huu(iH(vfu(n)));function a(r,n,t){return w2e(U3t,0,n,y2e(u,e,r,n,t))}var f=Vuu(iH(64-vfu(n)|0));function i(r,n,t){return y2e(f,a,r,n,t)}function c(r,n,e){return y2e(t,i,r,n,e)}return function(r,n,e){return y2e(t,c,r,n,e)}});return function(r,n,t){return y2e(c,i,r,n,t)};default:throw LQ([0,mS,M3t],1)}}function lfu(r,n){var t=ofu(n),e=Ruu(Oeu(n)),u=Uuu(Kuu,32-t|0);return function(r,n,t){return w2e(T3t,0,n,y2e(u,e,r,n,t))}}function Bfu(r,n,t){switch(t){case 5:case 6:var e=function(r,n,t){return w2e($3t,0,n,t)},u=Uuu(Muu,32-ofu(t)|0),a=function(r,n,t){return y2e(u,e,r,n,t)};return function(r,n,t){return y2e(x2e,a,r,n,t)};case 2:case 7:case 10:case 11:var f=function(r,n,t){return w2e(E3t,0,n,t)},i=Uuu(Puu,32-ofu(t)|0),c=function(r,n,t){return y2e(i,f,r,n,t)};return function(r,n,t){return y2e(x2e,c,r,n,t)};default:throw LQ([0,mS,D3t],1)}}function jfu(r,n,t,e,u){switch(n){case 5:case 6:var a=kuu(r,t,e,u),f=sau(1,r,O2e(n,I3t),q3t,g3t,function(r,t){function e(r,n,t){return w2e(d3t,0,n,t)}var u=Uuu(Muu,ofu(n));function a(r,n,t){return y2e(u,e,r,n,t)}return function(r,n,e){return y2e(t,a,r,n,e)}});return function(r,n,t){return y2e(f,a,r,n,t)};case 2:case 7:case 10:case 11:var i=kuu(r,t,e,u),c=sau(1,r,O2e(n,w3t),y3t,x3t,function(r,t){function e(r,n,t){return w2e(m3t,0,n,t)}var u=Uuu(Muu,vfu(n));function a(r,n,t){return w2e(_3t,0,n,y2e(u,e,r,n,t))}var f=Uuu(Puu,32-vfu(n)|0);function i(r,n,t){return y2e(f,a,r,n,t)}function c(r,n,e){return y2e(t,i,r,n,e)}return function(r,n,e){return y2e(t,c,r,n,e)}});return function(r,n,t){return y2e(c,i,r,n,t)};default:throw LQ([0,mS,h3t],1)}}function kfu(r,n){var t=ofu(n),e=Ruu(Oeu(n)),u=Uuu(Kuu,32-t|0);return function(r,n,t){return y2e(u,e,r,n,t)}}function pfu(r,n,t){switch(t){case 5:case 6:var e=Uuu(Muu,32-ofu(t)|0);return function(r,n,t){return y2e(x2e,e,r,n,t)};case 2:case 7:case 10:case 11:var u=Uuu(Puu,32-ofu(t)|0);return function(r,n,t){return y2e(x2e,u,r,n,t)};default:throw LQ([0,mS,p3t],1)}}function dfu(r,n){return iV(Oeu(n),0)?Uuu(7,(1<<32-ofu(n))-1^-1):x2e}function mfu(r){if("number"==typeof r)switch(r){case 0:return 1;case 1:return 17;case 2:return 19;case 3:return 21;case 4:return 23;case 5:return 33;case 6:return 35;case 7:return 37;case 8:return 47;case 9:return 49;case 10:return 51;case 11:return 39;case 12:return 52;case 13:return-1;default:return-2}switch(r[0]){case 0:switch(r[1]){case 0:return 3;case 1:return 5;case 2:return 7;default:return 9}case 1:switch(r[1]){case 0:return 11;case 1:return 13;default:return 15}case 2:switch(r[1]){case 0:return 25;case 1:return 27;case 2:return 29;default:return 31}default:switch(r[1]){case 0:return 41;case 1:return 43;default:return 45}}}function _fu(r){return 4===ule[1]?2:1}function hfu(r){if(4===ule[1])return 1;throw LQ([0,mS,k3t],1)}function xfu(r,n,t){if(!ZL(n,1))throw LQ([0,mS,l3t],1);var e=mfu(t);return Aau(1,r,uS(I6(B3t),n,e),j3t,function(r){var e=Yuu(r,s3t),u=e[2],a=zC(n,4),f=e[1],i=NL(pj,2);if(4===ule[1])var c=Mau(hfu()),o=function(r,n,t){return y2e(u,c,r,n,t)},v=function(r,n,t){return y2e(u,o,r,n,t)};else v=x2e;function A(r,n,t){return y2e(v,u,r,n,t)}var s=Mau(0);function b(r,n,t){return y2e(s,A,r,n,t)}var l=Tuu(mfu(t));function B(r,n,t){return y2e(l,b,r,n,t)}function j(r,n,t){return y2e(u,B,r,n,t)}r:{var k=function(r,n,t){return y2e(f,j,r,n,t)};if(4!==ule[1]&&TH(a,i)){var p=function(r,n,t){return w2e(2,0,n,t)},d=Gau(r,0),m=function(r,n,t){return y2e(d,p,r,n,t)},_=function(r,n,t){return E2e(rX,x2e,m,r,n,t)};if(0a){var h=TEe[20].call(null,a),x=TEe[31].call(null,h),y=1===eS(TEe[19],x)?a:0,w=TEe[20].call(null,a),g=TEe[32].call(null,w),q=Uuu(7,y|$l&-1<<16-eS(TEe[19],g)),I=function(r,n,t){return y2e(q,_,r,n,t)},D=dau(r),E=function(r,n,t){return y2e(D,I,r,n,t)},$=mau(r),T=function(r,n,t){return y2e($,E,r,n,t)},N=Uuu(0,a),F=function(r,n,t){return y2e(N,T,r,n,t)},G=dau(r),U=function(r,n,t){return y2e(G,F,r,n,t)},M=dau(r),P=function(r,n,t){return y2e(M,U,r,n,t)};break r}throw LQ([0,mS,b3t],1)}P=Gau(r,n)}return function(r,n,t){return y2e(P,k,r,n,t)}})}function yfu(r){return 4===ule[1]?Uau(hfu()):x2e}function wfu(r){var n=Uau(0),t=yfu();return function(r,e,u){return y2e(t,n,r,e,u)}}function gfu(r,n,t){return SL(zR,mfu(t)),x2e}function qfu(r,n){var t=Uau(n);return function(r,n,e){return y2e(x2e,t,r,n,e)}}function Ifu(r,n){var t=Mau(n);return function(r,n,e){return y2e(x2e,t,r,n,e)}}function Dfu(r,n){var t=[13,[0,1,2,iH(zC(4,n)),0]];function e(r,n,e){return w2e(t,0,n,e)}return function(r,n,t){return y2e(x2e,e,r,n,t)}}function Efu(r,n,t,e){var u=Yuu(r,A3t),a=u[2];var f=u[1],i=function e(u){if(!u)return t;var f=u[1],i=f[2],c=f[1],o=kuu(r,n,i,e(u[2])),v=Cuu(mfu(c));function A(r,n,t){return y2e(v,o,r,n,t)}return function(r,n,t){return y2e(a,A,r,n,t)}}(e);function c(r,n,t){return y2e(f,i,r,n,t)}var o=wfu();return function(r,n,t){return y2e(o,c,r,n,t)}}function $fu(r){return 4===ule[1]?luu(r)(v3t,o3t):x2e}function Tfu(r){var n=Yuu(r,e3t),t=n[2],e=n[1],u=Yuu(r,u3t),a=u[2],f=f3e[4];function i(r,n,e){return y2e(t,f,r,n,e)}var c=u[1];function o(r,n,t){return y2e(a,i,r,n,t)}var v=luu(r)(f3t,a3t);function A(r,n,e){return y2e(t,v,r,n,e)}function s(r,n,t){return y2e(a,A,r,n,t)}function b(r,n,t){return E2e(rX,s,o,r,n,t)}var l=luu(r)(c3t,i3t);function B(r,n,t){return y2e(l,b,r,n,t)}function j(r,n,t){return y2e(c,B,r,n,t)}return function(r,n,t){return y2e(e,j,r,n,t)}}function Nfu(r,n,t){var e=d0(t),u=_fu(),a=eS(Qle[47],e)+u|0,f=Yuu(r,t3t),i=f[2],c=f[1],o=$fu(r);function v(r,n,t){return y2e(i,o,r,n,t)}var A=q2e(function(r,n){var t=_fu(),e=Mau(eS(Qle[47],r)+t|0);function u(r,t,u){return y2e(n,e,r,t,u)}return function(r,n,t){return y2e(i,u,r,n,t)}},t);function s(r,n,t){return y2e(A,v,r,n,t)}function b(r,n,t){return y2e(c,s,r,n,t)}var l=xfu(r,a,n);return function(r,n,t){return y2e(l,b,r,n,t)}}function Ffu(r,n,t){var e=Ceu(t),u=huu(r,zC(4,_fu())+bH(e)|0),a=u+f3e[1]|0,f=Wuu(mfu(n)),i=Wuu(a);return 4===ule[1]?xuu(r,u,f+i+e):xuu(r,u,f+e),a}function Gfu(r,n,t){var e=Wuu(mfu(n))+Ceu(t),u=Seu[29].call(null,e,r[12][1]);if(u)return u[1];var a=Ffu(r,n,t),f=Seu[4].call(null,e,a,r[12][1]);return r[12][1]=f,a}function Ufu(r){return Nfu(r,1,[0,Fuu,0])}function Mfu(r){var n=Ffu(r,1,n3t);return r[16][1]=[0,n,r[16][1]],n}function Pfu(r){var n=qfu(0,_fu()),t=yfu();return function(r,e,u){return y2e(t,n,r,e,u)}}function Kfu(r){var n=Yuu(r,r3t),t=n[2],e=n[1],u=Ifu(0,_fu());function a(r,n,e){return y2e(t,u,r,n,e)}var f=yfu();function i(r,n,t){return y2e(f,a,r,n,t)}return function(r,n,t){return y2e(e,i,r,n,t)}}function Ofu(r){return Gfu(r,8,0)}function Rfu(r){return Tuu(Ofu(r))}function Qfu(r,n){return Gfu(r,3,[0,[0,n],0])}function Cfu(r){function n(r,n,t){return w2e(Y2t,0,n,t)}var t=Rfu(r);return function(r,e,u){return y2e(t,n,r,e,u)}}function Lfu(r,n){var t=zwe(n);r:{if("number"==typeof t){if(0!==t)break r}else switch(t[0]){case 2:if(t[1])break r;break;case 1:case 6:break;default:break r}return 0}return 1}function Hfu(r,n,t){if(Lfu(0,n))return t;var e=sau(1,r,X2t,Z2t,W2t,function(r,n){var t=[0,[0,3,Nfu(r,3,[0,n,0])],0],e=Efu(r,S2t,n,[0,[0,8,Tuu(Qfu(r,Ofu(r)))],t]),u=kuu(r,z2t,n,function(r,t,u){return y2e(n,e,r,t,u)}),a=ffu();function f(r,n,t){return y2e(a,u,r,n,t)}var i=ifu(r,J2t,n,function(r,t,e){return y2e(n,f,r,t,e)});return function(r,t,e){return y2e(n,i,r,t,e)}});return function(r,n,u){return y2e(t,e,r,n,u)}}function Vfu(r,n){var t=yfu();return function(r,e,u){return y2e(n,t,r,e,u)}}function Sfu(r,n){return Lfu(0,n)?x2e:sau(1,r,V2t,H2t,L2t,function(r,n){var t=[0,[0,8,duu(r,"Internal error: opt_project: null!")],0],e=qfu(0,_fu()),u=yfu();function a(r,n,t){return y2e(u,e,r,n,t)}var f=Efu(r,R2t,n,[0,[0,3,function(r,t,e){return y2e(n,a,r,t,e)}],t]),i=kuu(r,Q2t,n,function(r,t,e){return y2e(n,f,r,t,e)}),c=ffu();function o(r,n,t){return y2e(c,i,r,n,t)}var v=ifu(r,C2t,n,function(r,t,e){return y2e(n,o,r,t,e)});return function(r,t,e){return y2e(n,v,r,t,e)}})}function zfu(r){return function(n){return Zeu(r,n)}}function Jfu(r,n,t){return Nfu(r,4,[0,Tuu(zfu(r)(n)),[0,t,0]])}function Wfu(r){var n=qfu(0,_fu()+1|0),t=yfu();return function(r,e,u){return y2e(t,n,r,e,u)}}function Zfu(r,n){var t=Cuu(zfu(r)(n)),e=qfu(0,_fu()),u=yfu();return function(r,n,a){return y2e(u,e,r,n,t(r,n,a))}}function Xfu(r){return _fu()+2|0}function Yfu(r,n,t){var e=eau($je(t,0)),u=[0,[0,0,$je(n,0)],e],a=suu(r)(u),f=fau(r,$je(t,0)),i=[7,[0,Wle,0],[0,Wle,a]];function c(r,n,t){return w2e(i,0,n,aS(f,r,n,t))}var o=qfu(0,_fu());function v(r,n,t){return y2e(o,c,r,n,t)}var A=yfu();return function(r,n,t){return y2e(A,v,r,n,t)}}function riu(r,n){if(6===n)return P2t;if(11===n)return M2t;throw LQ([0,mS,U2t],1)}function niu(r,n){return sau(1,r,O2e(n,F2t),N2t,T2t,function(r,t){var e=Yuu(r,G2t),u=e[2],a=e[1],f=4===ule[1]?4:3,i=$fu(r),c=[14,[0,1,2,iH(zC(4,_fu())+f3e[2]|0),0]];function o(r,n,t){return w2e(c,0,n,t)}function v(r,n,t){return y2e(x2e,o,r,n,y2e(u,i,r,n,t))}function A(r,n,e){return y2e(t,v,r,n,e)}function s(r,n,t){return y2e(u,A,r,n,t)}function b(r,n,t){return y2e(a,s,r,n,t)}var l=xfu(r,f,riu(0,n)),B=lfu(0,n),j=bfu(r,n,$2t,function(r,n,e){return y2e(t,B,r,n,e)},function(r,n,t){return y2e(l,b,r,n,t)});return function(r,n,e){return y2e(t,j,r,n,e)}})}function tiu(r,n){return sau(1,r,O2e(n,E2t),D2t,I2t,function(r,t){var e=[13,[0,1,2,iH(zC(4,_fu())+f3e[2]|0),0]];function u(r,n,t){return w2e(e,0,n,t)}function a(r,n,t){return y2e(x2e,u,r,n,t)}var f=gfu(0,0,riu(0,n));function i(r,n,t){return y2e(f,a,r,n,t)}var c=yfu();function o(r,n,t){return y2e(c,i,r,n,t)}var v=Bfu(0,0,n),A=ifu(r,q2t,function(r,n,e){return y2e(t,v,r,n,e)},function(r,n,e){return y2e(t,o,r,n,e)});return function(r,n,e){return y2e(t,A,r,n,e)}})}function eiu(r){return function(r,n,t){return w2e(g2t,0,n,t)}}function uiu(r){return function(r,n,t){return w2e(w2t,0,n,t)}}function aiu(r){return bau(1,r,d2t,p2t,k2t,function(r,n,t){function 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t=n-3|0;if(11>=t>>>0)switch(t){case 0:case 1:case 5:case 6:case 11:var e=dfu(0,n);return function(r,n,t){return y2e(x2e,e,r,n,t)}}throw LQ([0,mS,Q0t],1)}function Tiu(r){return sau(1,r,O0t,K0t,P0t,function(r,n){var t=Yuu(r,U0t),e=t[2],u=t[1],a=_fu()+2|0,f=$fu(r),i=[14,[0,3,2,iH(zC(4,_fu())+f3e[2]|0),0]];function c(r,n,t){return w2e(i,0,n,t)}function o(r,n,t){return y2e(x2e,c,r,n,y2e(e,f,r,n,t))}function v(r,t,e){return y2e(n,o,r,t,e)}function A(r,n,t){return y2e(e,v,r,n,t)}function s(r,n,t){return y2e(u,A,r,n,t)}var b=xfu(r,a,M0t);return function(r,n,t){return y2e(b,s,r,n,t)}})}function Niu(r){var n=[13,[0,3,2,iH(zC(4,_fu())+f3e[2]|0),0]];function t(r,t,e){return w2e(n,0,t,e)}function e(r,n,e){return y2e(x2e,t,r,n,e)}var u=gfu(0,0,G0t);function a(r,n,t){return y2e(u,e,r,n,t)}var f=yfu();return function(r,n,t){return y2e(f,a,r,n,t)}}function Fiu(r){return sau(1,r,"box_f32",N0t,T0t,function(r,n){var t=Yuu(r,"boxed_f32"),e=t[2],u=t[1],a=_fu()+1|0,f=$fu(r),i=[14,[0,2,2,iH(zC(4,_fu())+f3e[2]|0),0]];function c(r,n,t){return w2e(i,0,n,t)}function o(r,n,t){return y2e(x2e,c,r,n,y2e(e,f,r,n,t))}function v(r,t,e){return y2e(n,o,r,t,e)}function A(r,n,t){return y2e(e,v,r,n,t)}function s(r,n,t){return y2e(u,A,r,n,t)}var b=xfu(r,a,$0t);return function(r,n,t){return y2e(b,s,r,n,t)}})}function Giu(r){var n=[13,[0,2,2,iH(zC(4,_fu())+f3e[2]|0),0]];function t(r,t,e){return w2e(n,0,t,e)}function e(r,n,e){return y2e(x2e,t,r,n,e)}var u=gfu(0,0,E0t);function a(r,n,t){return y2e(u,e,r,n,t)}var f=yfu();return function(r,n,t){return y2e(f,a,r,n,t)}}function Uiu(r){function n(r,n,t){return w2e(D0t,0,n,t)}return function(t,e,u){return y2e(r,n,t,e,u)}}function Miu(r){var n=[13,[0,0,2,iH(4),0]];function t(r,t,e){return w2e(n,0,t,e)}return function(n,e,u){return y2e(r,t,n,e,u)}}function Piu(r,n){function t(r,n,t){return w2e(I0t,0,n,t)}function e(r,e,u){return y2e(n,t,r,e,u)}return function(n,t,u){return 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dfu(0,7)}function kcu(r){function n(r,n,t){return w2e(VYt,0,n,t)}var t=jcu();function e(r,e,u){return y2e(t,n,r,e,u)}return function(r,n,t){return y2e(x2e,e,r,n,t)}}function pcu(r){var n=iH(ofu(7)),t=acu(r),e=Vuu(hH(CYt,n));return function(r,n,u){return y2e(e,t,r,n,u)}}function dcu(r){var n=pcu(r),t=kcu();return function(r,e,u){return y2e(t,n,r,e,u)}}function mcu(r,n,t,e){return bau(0,e,r,QYt,RYt,function(r,e,u){var a=Yuu(r,GYt),f=a[2],i=a[1],c=rau(r,UYt),o=c[2],v=c[1],A=kfu(0,7),s=tcu(r);function b(r,n,t){return y2e(s,A,r,n,t)}function l(r,n,t){return y2e(f,b,r,n,t)}var B=$2e(0);function j(r,n,t){return B(l,f,r,n,t)}var k=Bcu(r);function p(r,n,t){return y2e(k,j,r,n,t)}function d(r,n,t){return y2e(f,p,r,n,t)}function m(r,n,t){return y2e(i,d,r,n,t)}var _=eS(t,r),h=dcu(r);function x(r,n,t){return y2e(_,m,r,n,t)}var y=ifu(r,MYt,function(r,n,t){return y2e(u,h,r,n,t)},u);function w(r,n,t){return y2e(y,x,r,n,t)}var g=dcu(r);function q(r,n,t){return y2e(u,w,r,n,t)}var I=ifu(r,PYt,function(r,n,t){return y2e(e,g,r,n,t)},e);function D(r,n,t){return y2e(I,q,r,n,t)}var E=pcu(r),$=Ruu(Oeu(7));function T(r,n,t){return w2e(LYt,0,n,$(r,n,t))}var N=iH(ofu(7)),F=bfu(r,7,KYt,function(r,n,t){return y2e(o,T,r,n,t)},function(r,n,t){return y2e(o,E,r,n,t)}),G=Vuu(hH(HYt,N));function U(r,n,t){return y2e(G,F,r,n,t)}function M(r,n,t){return y2e(o,U,r,n,t)}function P(r,n,t){return y2e(v,M,r,n,t)}var K=eS(n,r);function O(r,n,t){return y2e(K,P,r,n,t)}var R=kcu();function Q(r,n,t){return y2e(R,O,r,n,t)}function C(r,n,t){return y2e(u,Q,r,n,t)}var L=kcu();function H(r,n,t){return y2e(L,C,r,n,t)}var V=cfu(r,OYt,function(r,n,t){return y2e(e,H,r,n,t)},function(r,n,t){return y2e(e,D,r,n,t)});function S(r,n,t){return y2e(u,V,r,n,t)}return function(r,n,t){return y2e(e,S,r,n,t)}})}function _cu(r){return mcu(rY,eiu,fcu,r)}function hcu(r,n){var t=Suu(iH(32-ofu(7)|0)),e=eS(r,n);return function(r,n,u){return y2e(e,t,r,n,u)}}function xcu(r){function n(r,n,t){return w2e(y2t,0,n,t)}var t=Vuu(iH(32-ofu(7)|0));return function(r,e,u){return y2e(t,n,r,e,u)}}function ycu(r){return mcu(nY,xcu,icu,r)}function wcu(r){return bau(0,r,FYt,NYt,TYt,function(r,n,t){var e=Yuu(r,mYt),u=e[2],a=e[1],f=rau(r,_Yt),i=f[2],c=f[1],o=kfu(0,7),v=tcu(r);function A(r,n,t){return y2e(v,o,r,n,t)}function s(r,n,t){return y2e(u,A,r,n,t)}var b=$2e(0);function l(r,n,t){return b(s,u,r,n,t)}var B=Bcu(r);function j(r,n,t){return y2e(B,l,r,n,t)}function k(r,n,t){return y2e(u,j,r,n,t)}function p(r,n,t){return y2e(a,k,r,n,t)}var d=vcu(r),m=dcu(r);function _(r,n,t){return y2e(d,p,r,n,t)}var h=ifu(r,hYt,function(r,n,e){return y2e(t,m,r,n,e)},t);function x(r,n,t){return y2e(h,_,r,n,t)}var y=dcu(r);function w(r,n,e){return y2e(t,x,r,n,e)}var g=ifu(r,xYt,function(r,t,e){return y2e(n,y,r,t,e)},n);function q(r,n,t){return y2e(g,w,r,n,t)}var I=rau(r,"a64"),D=I[2],E=I[1],$=rau(r,"b64"),T=$[2],N=$[1],F=kfu(0,7),G=tcu(r);function U(r,n,t){return y2e(G,F,r,n,t)}function M(r,n,t){return y2e(u,U,r,n,t)}var P=$2e(0);function K(r,n,t){return P(M,u,r,n,t)}var O=Bcu(r);function R(r,n,t){return y2e(O,K,r,n,t)}function Q(r,n,t){return y2e(u,R,r,n,t)}function C(r,n,t){return y2e(a,Q,r,n,t)}var L=vcu(r);function H(r,n,t){return y2e(L,C,r,n,t)}var V=acu(r);function S(r,n,t){return y2e(V,H,r,n,t)}function z(r,n,t){return y2e(T,S,r,n,t)}var J=acu(r);function W(r,n,t){return y2e(J,z,r,n,t)}var Z=ucu(r),X=lfu(0,7),Y=bfu(r,7,yYt,function(r,n,t){return y2e(i,X,r,n,t)},function(r,n,t){return y2e(i,Z,r,n,t)});function rr(r,n,t){return y2e(i,Y,r,n,t)}function nr(r,n,t){return y2e(c,rr,r,n,t)}var tr=fiu(r);function er(r,n,t){return y2e(tr,nr,r,n,t)}function ur(r,n,t){return y2e(T,er,r,n,t)}function ar(r,n,t){return y2e(D,W,r,n,t)}function fr(r,n,t){return y2e(D,ur,r,n,t)}var ir=$2e(0);function cr(r,n,t){return ir(fr,ar,r,n,t)}function or(r,n,t){return w2e(wYt,0,n,aS(cr,r,n,t))}var vr=Nuu(gYt);function Ar(r,n,t){return w2e(qYt,0,n,y2e(vr,or,r,n,t))}function sr(r,n,t){return w2e(DYt,0,n,w2e(IYt,0,n,y2e(T,Ar,r,n,t)))}function br(r,n,t){return y2e(D,sr,r,n,t)}var lr=Nuu(EYt);function Br(r,n,t){return y2e(lr,br,r,n,t)}function jr(r,n,t){return y2e(N,Br,r,n,t)}var kr=Vuu(iH(32-ofu(7)|0));function pr(r,n,t){return y2e(kr,jr,r,n,t)}var dr=kcu();function mr(r,n,t){return y2e(dr,pr,r,n,t)}function _r(r,n,e){return y2e(t,mr,r,n,e)}function hr(r,n,t){return y2e(E,_r,r,n,t)}var xr=Vuu(iH(32-ofu(7)|0));function yr(r,n,t){return y2e(xr,hr,r,n,t)}var wr=kcu();function gr(r,n,t){return y2e(wr,yr,r,n,t)}var qr=cfu(r,$Yt,function(r,t,e){return y2e(n,gr,r,t,e)},function(r,t,e){return y2e(n,q,r,t,e)});function Ir(r,n,e){return y2e(t,qr,r,n,e)}return function(r,t,e){return y2e(n,Ir,r,t,e)}})}function gcu(r){return bau(0,r,dYt,pYt,kYt,function(r,n,t){var e=Acu(r);function u(r,n,u){return y2e(t,e,r,n,u)}var a=rau(r,"remember"),f=a[2],i=a[1],c=Yuu(r,cYt),o=c[2],v=c[1],A=Acu(r);function s(r,n,e){return y2e(t,A,r,n,e)}var b=luu(r)(DZt,IZt);function l(r,n,t){return y2e(b,s,r,n,t)}var B=Uuu(Puu,32-ofu(7)|0);function j(r,n,t){return y2e(B,l,r,n,t)}var k=Ruu(Oeu(7));function p(r,t,e){return y2e(n,j,r,t,e)}function d(r,n,t){return y2e(o,k,r,n,t)}var m=$2e(0);function _(r,n,t){return m(d,p,r,n,t)}function h(r,n,t){return w2e(oYt,0,n,aS(_,r,n,t))}var x=Quu(7,42);function y(r,n,t){return y2e(x,h,r,n,t)}function w(r,n,e){return w2e(vYt,0,n,y2e(t,y,r,n,e))}function g(r,n,t){return w2e(AYt,0,n,y2e(f,w,r,n,t))}function q(r,n,t){return y2e(o,g,r,n,t)}function I(r,n,t){return w2e(sYt,0,n,y2e(v,q,r,n,t))}function D(r,n,t){return y2e(f,I,r,n,t)}function E(r,n,t){return w2e(lYt,0,n,w2e(bYt,0,n,y2e(i,D,r,n,t)))}function $(r,n,e){return w2e(BYt,0,n,y2e(t,E,r,n,e))}var T=jcu();function N(r,n,t){return y2e(T,$,r,n,t)}var F=ifu(r,jYt,function(r,t,e){return y2e(n,N,r,t,e)},function(r,t,e){return y2e(n,u,r,t,e)});return function(r,t,e){return y2e(n,F,r,t,e)}})}function qcu(r){return bau(0,r,iYt,fYt,aYt,function(r,n,t){var e=Yuu(r,nYt),u=e[2],a=e[1],f=kfu(0,7),i=tcu(r);function c(r,n,t){return y2e(i,f,r,n,t)}function o(r,n,t){return y2e(u,c,r,n,t)}var v=$2e(0);function A(r,n,t){return v(o,u,r,n,t)}var s=Bcu(r);function b(r,n,t){return y2e(s,A,r,n,t)}function l(r,n,t){return y2e(u,b,r,n,t)}function B(r,n,t){return y2e(a,l,r,n,t)}var j=luu(r)(pWt,kWt);function k(r,n,t){return y2e(j,B,r,n,t)}function p(r,n,e){return y2e(t,k,r,n,e)}var d=Ruu(Oeu(7));function m(r,n,t){return w2e(tYt,0,n,d(r,n,t))}var _=Quu(7,ofu(7));function h(r,n,t){return y2e(_,m,r,n,t)}function x(r,n,e){return y2e(t,h,r,n,e)}var y=Uuu(7,-1<<32-ofu(7));function w(r,n,t){return w2e(eYt,0,n,y2e(y,x,r,n,t))}function g(r,n,e){return y2e(t,w,r,n,e)}var q=jcu();function I(r,n,t){return y2e(q,g,r,n,t)}var D=ifu(r,uYt,function(r,t,e){return y2e(n,I,r,t,e)},function(r,t,e){return y2e(n,p,r,t,e)});return function(r,t,e){return y2e(n,D,r,t,e)}})}function Icu(r,n){if(PDe(n)&&Afu(7,CDe(n)))return sfu(7,CDe(n));var t=0<=n[1]?0:1,e=wDe(n),u=VDe(2,28);var a=function r(n){if(0===n[1])return 0;var t=GDe(n,u),e=t[2],a=r(t[1]);return xY([0,RDe(e),0],a)}(e),f=d0(a);return Gfu(r,6,[0,[0,f],[0,[0,f],[0,[0,t],[0,JWt,[0,Reu(a),0]]]]])}function Dcu(r){return bau(0,r,RXt,OXt,KXt,function(r,n,t){var e=luu(r)(jWt,BWt),u=dcu(r),a=ifu(r,GXt,function(r,n,e){return y2e(t,u,r,n,e)},t);function f(r,n,t){return y2e(a,e,r,n,t)}var i=dcu(r);function c(r,n,e){return y2e(t,f,r,n,e)}var o=ifu(r,UXt,function(r,t,e){return y2e(n,i,r,t,e)},n);function v(r,n,t){return y2e(o,c,r,n,t)}var A=cfu(r,MXt,ufu(0),function(r,t,e){return y2e(n,v,r,t,e)});function s(r,n,e){return y2e(t,A,r,n,e)}var b=ufu(1);function l(r,t,e){return y2e(n,s,r,t,e)}var B=$2e(0);function j(r,n,t){return B(b,l,r,n,t)}function k(r,n,t){return w2e(PXt,0,n,aS(j,r,n,t))}function p(r,n,e){return y2e(t,k,r,n,e)}return function(r,t,e){return y2e(n,p,r,t,e)}})}function Ecu(r,n){switch(n){case 0:var t=a0t;break;case 1:t=f0t;break;case 2:t=i0t;break;default:t=c0t}return bau(0,r,t,VXt,HXt,function(r,t,e){switch(n){case 0:var u=luu(r)(fWt,aWt);break;case 1:u=luu(r)(cWt,iWt);break;case 2:u=luu(r)(vWt,oWt);break;default:u=luu(r)(sWt,AWt)}var a=dcu(r),f=ifu(r,QXt,function(r,n,t){return y2e(e,a,r,n,t)},e);function i(r,n,t){return y2e(f,u,r,n,t)}var c=dcu(r);function o(r,n,t){return y2e(e,i,r,n,t)}var v=ifu(r,CXt,function(r,n,e){return y2e(t,c,r,n,e)},t);function A(r,n,t){return y2e(v,o,r,n,t)}switch(n){case 0:var s=2;break;case 1:s=6;break;case 2:s=8;break;default:s=4}var b=[18,[1,s]];function l(r,n,t){return w2e(b,0,n,t)}var B=kcu();function j(r,n,t){return y2e(B,l,r,n,t)}function k(r,n,t){return y2e(e,j,r,n,t)}var p=kcu();function d(r,n,t){return y2e(p,k,r,n,t)}var m=cfu(r,LXt,function(r,n,e){return y2e(t,d,r,n,e)},function(r,n,e){return y2e(t,A,r,n,e)});function _(r,n,t){return y2e(e,m,r,n,t)}return function(r,n,e){return y2e(t,_,r,n,e)}})}function $cu(r,n,t,e){var u=Yuu(e,FXt),a=u[2],f=u[1],i=eS(t,e),c=eS(n,e),o=ifu(e,[0,r,0],function(r,n,t){return y2e(a,c,r,n,t)},function(r,n,t){return y2e(a,i,r,n,t)});function v(r,n,t){return y2e(a,o,r,n,t)}return function(r,n,t){return y2e(f,v,r,n,t)}}function Tcu(r,n){return $cu(0,function(r){r:{if(17<=n){if(32!==n&&64!==n)break r;var t=ufu(1);return function(r,n,e){return w2e(2,0,n,t(r,n,e))}}if(!(8!==n&&16>n)){var e=function(r,n,t){return w2e(NXt,0,n,t)},u=Uuu(7,-1<n)){var a=function(r,n,t){return w2e(DXt,0,n,t)},f=Uuu(7,-1<<(n-1|0)+(32-ofu(7)|0)),i=function(r,n,t){return w2e(EXt,0,n,y2e(f,a,r,n,t))},c=Uuu(Puu,1),o=function(r,n,t){return y2e(c,i,r,n,t)},v=function(r,n,t){return y2e(e,o,r,n,t)},A=function(r,n,t){return y2e(e,v,r,n,t)};return function(r,n,t){return y2e(u,A,r,n,t)}}}throw LQ([0,mS,IXt],1)},function(r){return scu(r,n)},r)}function Fcu(r,n,t){var e=rau(r,jXt),u=e[2],a=e[1],f=rau(r,"eom"),i=f[2],c=f[1];if(t)var o=luu(r)(hXt,_Xt),v=function(r,t,e){return y2e(n,o,r,t,e)};else{var A=luu(r)(yXt,xXt);v=function(r,t,e){return y2e(n,A,r,t,e)}}function s(r,n,t){return w2e(kXt,0,n,v(r,n,t))}function b(r,n,t){return y2e(i,s,r,n,t)}function l(r,n,t){return y2e(u,b,r,n,t)}if(t)var B=luu(r)(ZWt,WWt),j=function(r,t,e){return y2e(n,B,r,t,e)};else{var k=luu(r)(YWt,XWt);j=function(r,t,e){return y2e(n,k,r,t,e)}}var p=$2e(0);function d(r,n,t){return p(j,l,r,n,t)}function m(r,n,t){return w2e(pXt,0,n,aS(d,r,n,t))}function _(r,n,t){return y2e(i,m,r,n,t)}function h(r,n,t){return y2e(c,_,r,n,t)}var x=Luu(7,dXt);function y(r,n,t){return y2e(x,h,r,n,t)}var w=zuu(mXt);function g(r,n,t){return y2e(w,y,r,n,t)}function q(r,n,t){return w2e(s0t,0,n,t)}var I=Uiu(n),D=Nuu(b0t);function E(r,n,t){return y2e(I,q,r,n,t)}var $=$2e(1),T=Uuu(0,8),N=Uuu(Muu,16);function F(r,n,t){return y2e(T,N,r,n,t)}var G=Uuu(7,$l);function U(r,n,t){return y2e(G,F,r,n,t)}var M=Uiu(n);function P(r,n,t){return $(D,E,r,n,t)}function K(r,n,t){return y2e(u,g,r,n,t)}return function(r,n,t){return y2e(M,U,r,n,aS(P,r,n,y2e(a,K,r,n,t)))}}function Gcu(r){var n=Yuu(r,rXt),t=n[2],e=n[1],u=luu(r)(xZt,hZt),a=kfu(0,7),f=jfu(r,7,nXt,function(r,n,e){return y2e(t,a,r,n,e)},function(r,n,e){return y2e(t,u,r,n,e)});function i(r,n,e){return y2e(t,f,r,n,e)}return function(r,n,t){return y2e(e,i,r,n,t)}}function Ucu(r){var n=rau(r,XZt),t=n[2],e=n[1],u=acu(r),a=lfu(0,7),f=bfu(r,7,YZt,function(r,n,e){return y2e(t,a,r,n,e)},function(r,n,e){return y2e(t,u,r,n,e)});function i(r,n,e){return y2e(t,f,r,n,e)}return function(r,n,t){return y2e(e,i,r,n,t)}}function Mcu(r){var n=Yuu(r,JZt),t=n[2],e=n[1],u=ucu(r);function a(r,n,t){return w2e(WZt,0,n,u(r,n,t))}var f=kfu(0,7),i=vfu(7),c=kuu(r,ZZt,function(r,n,e){return y2e(t,a,r,n,e)},function(r,n,e){return y2e(t,f,r,n,e)}),o=Uuu(Muu,i);function v(r,n,t){return y2e(o,c,r,n,t)}function A(r,n,e){return y2e(t,v,r,n,e)}return function(r,n,t){return y2e(e,A,r,n,t)}}function Pcu(r){var n=rau(r,SZt),t=n[2],e=n[1],u=ucu(r),a=lfu(0,7),f=iH(vfu(7)),i=kuu(r,zZt,function(r,n,e){return y2e(t,a,r,n,e)},function(r,n,e){return 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bvu(r){return sau(1,r,VKt,HKt,LKt,function(r,n){var t=Yuu(r,KKt),e=t[2],u=t[1],a=mcu(rY,eiu,fcu,r),f=gcu(r);function i(r,n,t){return y2e(f,a,r,n,t)}var c=Tuu(64);function o(r,n,t){return y2e(c,i,r,n,t)}var v=Pcu(r);function A(r,n,t){return w2e(OKt,0,n,y2e(v,o,r,n,t))}function s(r,t,e){return y2e(n,A,r,t,e)}function b(r,n,t){return y2e(e,s,r,n,t)}var l=$2e(0);function B(r,n,t){return l(e,b,r,n,t)}function j(r,n,t){return w2e(QKt,0,n,w2e(RKt,0,n,aS(B,r,n,t)))}function k(r,t,e){return y2e(n,j,r,t,e)}function p(r,n,t){return y2e(u,k,r,n,t)}var d=Pcu(r);function m(r,n,t){return w2e(CKt,0,n,y2e(d,p,r,n,t))}return function(r,t,e){return y2e(n,m,r,t,e)}})}function lvu(r){var n=Yuu(r,MKt),t=n[2],e=n[1],u=Kcu(r);function a(r,n,e){return y2e(t,u,r,n,e)}var f=Kcu(r);function i(r,n,t){return y2e(f,a,r,n,t)}var c=qcu(r);function o(r,n,t){return y2e(c,i,r,n,t)}var v=Tuu(64);function A(r,n,t){return y2e(v,o,r,n,t)}function s(r,n,e){return y2e(t,A,r,n,e)}var b=_uu(r,PKt);function l(r,n,t){return 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$uu(r),1>>0?lau(0,r,XPt,ZPt,0,function(r,n,t,e){function u(r,n,t){return w2e(12,0,n,t)}var a=Bvu(r,e);function f(r,n,t){return y2e(a,u,r,n,t)}var i=Bvu(r,t);function c(r,n,t){return y2e(i,f,r,n,t)}var o=Bvu(r,n);return function(r,n,t){return y2e(o,c,r,n,t)}}):uvu(r,YPt)}function dvu(r){var n=[11,[0,Wle,auu(r,SPt)]];return function(r,t,e){return w2e(n,0,t,e)}}function mvu(r){var n=[12,[0,Wle,auu(r,VPt)]];return function(r,t,e){return w2e(n,0,t,e)}}function _vu(r){var n=[11,[0,Wle,auu(r,HPt)]];return function(r,t,e){return w2e(n,0,t,e)}}function hvu(r){var n=[12,[0,Wle,auu(r,LPt)]];return function(r,t,e){return w2e(n,0,t,e)}}function xvu(r){var n=muu(r,RPt);function t(r,t,e){return w2e(CPt,0,t,w2e(QPt,0,t,n(r,t,e)))}var e=Nuu(iH(16));function u(r,n,u){return y2e(e,t,r,n,u)}var a=dvu(r);return function(r,n,t){return y2e(a,u,r,n,t)}}function yvu(r){return bau(0,r,OPt,KPt,0,function(r,n,t){var e=muu(r,DPt);function u(r,n,t){return w2e($Pt,0,n,w2e(EPt,0,n,e(r,n,t)))}var a=Nuu(iH(16));function f(r,n,t){return y2e(a,u,r,n,t)}var i=dvu(r);function c(r,n,t){return w2e(NPt,0,n,w2e(TPt,0,n,y2e(i,f,r,n,t)))}function o(r,n,e){return y2e(t,c,r,n,e)}function v(r,t,e){return y2e(n,o,r,t,e)}var A=muu(r,FPt);function s(r,n,t){return w2e(GPt,0,n,y2e(A,v,r,n,t))}function b(r,t,e){return w2e(MPt,0,t,w2e(UPt,0,t,y2e(n,s,r,t,e)))}function l(r,n,e){return y2e(t,b,r,n,e)}var B=Nuu(wS);function j(r,n,t){return y2e(B,l,r,n,t)}var k=xvu(r);function p(r,t,e){return y2e(n,k,r,t,e)}function d(r,n,t){return w2e(PPt,0,n,E2e(rX,p,j,r,n,t))}function m(r,n,t){return y2e(Guu,d,r,n,t)}return function(r,n,e){return y2e(t,m,r,n,e)}})}function wvu(r,n,t,e){if(!n)return x2e;if(QL(e,1))var u=xvu(r);else{var a=yvu(r),f=Tuu(e);u=function(r,n,t){return y2e(f,a,r,n,t)}}return function(r,n,e){return y2e(t,u,r,n,e)}}function gvu(r,n,t,e,u,a){var f=[0,e,0],i=n?gPt:qPt;return sau(1,r,uS(I6(IPt),i,t),wPt,f,function(r,t){var e=Vau(r,yPt,NL(u+3|0,4),function(n){function e(r,t,e){return y2e(n,a,r,t,e)}var f=kvu(r);function i(r,n,t){return y2e(f,e,r,n,t)}var c=Nuu(iH(u));function o(r,n,t){return y2e(c,i,r,n,t)}function v(r,n,e){return w2e(xPt,0,n,y2e(t,o,r,n,e))}return function(r,t,e){return y2e(n,v,r,t,e)}}),f=wvu(r,n,t,u);return function(r,n,t){return y2e(f,e,r,n,t)}})}function qvu(r,n,t,e,u,a){var f=[0,dPt,[0,pPt,e]],i=n?mPt:_Pt;return bau(1,r,uS(I6(hPt),i,t),f,0,function(r,t,e){var f=Vau(r,kPt,NL(u+3|0,4),function(n){var f=pvu(r),i=Nuu(iH(u));function c(r,n,t){return w2e(jPt,0,n,y2e(i,f,r,n,t))}function o(r,t,e){return y2e(n,c,r,t,e)}function v(r,n,e){return y2e(t,o,r,n,e)}function A(r,n,t){return y2e(a,v,r,n,t)}function s(r,n,t){return y2e(e,A,r,n,t)}return function(r,t,e){return y2e(n,s,r,t,e)}}),i=wvu(r,n,t,u);return function(r,n,t){return y2e(i,f,r,n,t)}})}function Ivu(r){return qvu(r,0,BPt,0,4,f3e[4])}function Dvu(r){return qvu(r,0,lPt,1,8,function(r,n,t){return w2e(bPt,0,n,t)})}function Evu(r,n,t,e,u,a,f){return sau(0,r,eS(I6(sPt),n),APt,[0,t,0],function(r,n){return Vau(r,vPt,NL(e+3|0,4),function(i){var c=Xuu(r,t,iPt),o=c[2],v=c[1],A=pvu(r);function s(r,n,t){return y2e(A,o,r,n,t)}var b=Nuu(iH(e));function l(r,n,t){return w2e(cPt,0,n,y2e(b,s,r,n,t))}function B(r,n,t){return y2e(i,l,r,n,t)}function j(r,t,e){return y2e(n,B,r,t,e)}function k(r,n,t){return y2e(f,j,r,n,t)}function p(r,n,t){return y2e(u,k,r,n,t)}function d(r,n,t){return y2e(i,p,r,n,t)}function m(r,n,t){return y2e(v,d,r,n,t)}function _(r,n,t){return y2e(a,m,r,n,t)}function h(r,n,t){return y2e(i,_,r,n,t)}var x=kvu(r);function y(r,n,t){return y2e(x,h,r,n,t)}var w=Nuu(iH(e));function g(r,n,t){return y2e(w,y,r,n,t)}function q(r,t,e){return w2e(oPt,0,t,y2e(n,g,r,t,e))}return function(r,n,t){return y2e(i,q,r,n,t)}})})}function $vu(r){var n=f3e[4],t=f3e[3];return Evu(r,fPt,0,4,Tuu(0),t,n)}function Tvu(r){return Evu(r,aPt,1,8,Nuu(uPt),function(r,n,t){return w2e(ePt,0,n,t)},function(r,n,t){return w2e(tPt,0,n,t)})}function Nvu(r){return sau(0,r,nPt,rPt,YMt,function(r,n){var t=rau(r,zMt),e=t[2],u=t[1],a=rau(r,JMt),f=a[2],i=a[1];$uu(r);var c=1>>0?sau(0,r,bKt,sKt,AKt,function(r,n){var t=Yuu(r,iKt),e=t[2];function u(r,n,t){return w2e(cKt,0,n,t)}var a=t[1],f=Nuu(oKt);function i(r,n,t){return y2e(e,u,r,n,t)}var c=$2e(1);function o(r,n,t){return c(f,i,r,n,t)}function v(r,n,t){return w2e(vKt,0,n,aS(o,r,n,t))}var A=Tuu(-1);function s(r,n,t){return y2e(A,v,r,n,t)}function b(r,n,t){return y2e(e,s,r,n,t)}function l(r,n,t){return w2e(10,0,n,y2e(a,b,r,n,t))}var B=Bvu(r,n);return function(r,n,t){return y2e(B,l,r,n,t)}}):uvu(r,lKt);function o(r,n,t){return y2e(f,c,r,n,t)}var v=$2e(1);function A(r,n,t){return v(o,e,r,n,t)}function s(r,n,t){return w2e(WMt,0,n,aS(A,r,n,t))}var b=Nuu(ZMt);function l(r,n,t){return y2e(b,s,r,n,t)}function B(r,n,t){return y2e(f,l,r,n,t)}function j(r,n,t){return w2e(XMt,0,n,y2e(i,B,r,n,t))}function k(r,n,t){return y2e(e,j,r,n,t)}function p(r,t,e){return y2e(n,k,r,t,e)}function d(r,n,t){return y2e(u,p,r,n,t)}var m=jvu(r);return function(r,n,t){return y2e(m,d,r,n,t)}})}function Fvu(r){return bau(0,r,SMt,VMt,0,function(r,n,t){var e=rau(r,"sum"),u=e[2],a=e[1],f=muu(r,PMt);function i(r,n,t){return w2e(KMt,0,n,f(r,n,t))}var c=Nuu(OMt);function o(r,n,t){return y2e(c,i,r,n,t)}var v=Nvu(r);function A(r,n,t){return y2e(v,o,r,n,t)}var s=Luu(0,RMt);function b(r,n,t){return w2e(QMt,0,n,y2e(s,A,r,n,t))}var l=Nuu(iH(16));function B(r,n,t){return y2e(l,b,r,n,t)}function j(r,n,t){return y2e(u,B,r,n,t)}var k=muu(r,CMt);function p(r,n,t){return w2e(LMt,0,n,y2e(k,j,r,n,t))}function d(r,t,e){return y2e(n,p,r,t,e)}function m(r,n,t){return y2e(u,d,r,n,t)}function _(r,n,t){return w2e(HMt,0,n,y2e(a,m,r,n,t))}function h(r,n,e){return y2e(t,_,r,n,e)}return function(r,t,e){return y2e(n,h,r,t,e)}})}function Gvu(r){return sau(0,r,MMt,UMt,GMt,function(r,n){var t=rau(r,gMt),e=t[2],u=t[1],a=rau(r,qMt),f=a[2],i=a[1],c=rau(r,IMt),o=c[2],v=c[1],A=mvu(r);function s(r,n,t){return y2e(A,e,r,n,t)}function b(r,n,t){return y2e(f,s,r,n,t)}var l=$2e(1);function B(r,n,t){return l(o,b,r,n,t)}function j(r,n,t){return w2e(DMt,0,n,aS(B,r,n,t))}var k=Nuu(EMt);function p(r,n,t){return y2e(k,j,r,n,t)}function d(r,n,t){return y2e(o,p,r,n,t)}function m(r,n,t){return y2e(v,d,r,n,t)}var _=Nvu(r);function h(r,n,t){return y2e(_,m,r,n,t)}function x(r,n,t){return y2e(f,h,r,n,t)}function y(r,n,t){return w2e($Mt,0,n,y2e(i,x,r,n,t))}function w(r,t,e){return y2e(n,y,r,t,e)}function g(r,n,t){return w2e(4,0,n,t)}var q=Nuu(TMt);function I(r,n,t){return y2e(e,w,r,n,t)}function D(r,n,t){return y2e(q,g,r,n,t)}var E=$2e(1);function $(r,n,t){return E(D,I,r,n,t)}function T(r,n,t){return w2e(NMt,0,n,aS($,r,n,t))}var N=Nuu(iH(pj));function F(r,n,t){return w2e(FMt,0,n,y2e(N,T,r,n,t))}function G(r,t,e){return y2e(n,F,r,t,e)}function U(r,n,t){return y2e(e,G,r,n,t)}function M(r,n,t){return y2e(u,U,r,n,t)}var P=dvu(r);return function(r,n,t){return y2e(P,M,r,n,t)}})}function Uvu(r,n,t,e,u){var 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E=viu(n,A);s=aS(r[3],n,u,function(r,n,e){return y2e(t,E,r,n,e)});break;case 4:case 9:var $=function(r,n,t){return w2e(OEt,0,n,t)},T=piu(A),N=function(r,n,t){return y2e(T,$,r,n,t)},F=function(r,n,e){return y2e(t,N,r,n,e)},G=aS(r[15],n,u,2);s=function(r,n,t){return y2e(G,F,r,n,t)};break;default:var U=piu(A);s=aS(r[1],n,u,function(r,n,e){return y2e(t,U,r,n,e)})}var M=s;break r;case 3:switch(e[1]){case 1:break;case 2:case 3:break n;default:M=g2e(function(r){var e=r[2],u=i(n,e[2]),a=Wcu(n,e[1]);function f(r,n,t){return y2e(a,u,r,n,t)}return function(r,n,e){return y2e(t,f,r,n,e)}},o(e[2]));break r}break;case 4:var P=e[1],K=duu(n,REt),O=function(r,n,t){return n?uS(r,n[1],O(r,n[2],t)):t};M=O(function(e,a){var f=e[2],c=f[1],o=e[1],v=i(n,f[2]),A=Wfu();function s(r,n,t){return y2e(A,v,r,n,t)}var b=Tuu(o);function l(r,n,e){return y2e(t,s,r,n,e)}var B=aS(r[2],n,u,b);function j(r,n,t){return y2e(B,l,r,n,t)}function k(r,n,t){return E2e(rX,j,a,r,n,t)}var p=Zfu(n,c);function d(r,n,t){return 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y2e(fn,a,r,n,t)}function o(r,n,t){return y2e(An,i,r,n,t)}var v=Kou(r,0,fn);function A(r,n,t){return y2e(v,o,r,n,t)}var s=c[33].call(null,r);function b(r,n,t){return w2e(u$t,0,n,y2e(s,A,r,n,t))}function l(r,n,t){return y2e(fn,b,r,n,t)}var B=Tuu(0);function k(r,n,t){return y2e(B,l,r,n,t)}function p(r,n,t){return y2e(cn,k,r,n,t)}var d=Ciu(r,f);function m(r,n,t){return y2e(d,p,r,n,t)}function _(r,n,t){return y2e(kn,m,r,n,t)}var h=Liu(r,n);return function(r,n,t){return y2e(h,_,r,n,t)}})}else var pn=un[1],dn=M(r,[5,[10,pn]],function(n,t){var e=Yuu(r,a$t),u=e[2],a=e[1],i=Yuu(r,f$t),c=i[2],o=i[1],v=Yuu(r,i$t),A=v[2],b=v[1],l=Yuu(r,c$t),B=l[2],k=l[1];function p(r,n,t){return w2e(2,0,n,t)}var d=$fu(r);function m(r,n,t){return y2e(d,p,r,n,t)}function _(r,n,t){return y2e(c,m,r,n,t)}var h=tau(r,function(n){var t=f3e[6];function e(r,n,e){return y2e(A,t,r,n,e)}var u=g(A);function a(r,n,t){return y2e(u,e,r,n,t)}function f(r,n,t){return y2e(b,a,r,n,t)}var i=j(0,r,pn);function o(r,n,t){return y2e(i,f,r,n,t)}function v(r,n,t){return y2e(B,o,r,n,t)}var s=Gou(r);function l(r,n,t){return y2e(s,v,r,n,t)}function k(r,t,e){return y2e(n,l,r,t,e)}return function(r,n,t){return y2e(c,k,r,n,t)}});function x(r,n,t){return y2e(h,_,r,n,t)}function y(r,n,t){return y2e(u,x,r,n,t)}var w=eS(t,c);function q(r,n,t){return y2e(w,y,r,n,t)}function I(r,n,t){return y2e(o,q,r,n,t)}var D=Kou(r,1,u);function E(r,n,t){return y2e(D,I,r,n,t)}function $(r,n,t){return y2e(a,E,r,n,t)}var T=Ciu(r,f);function N(r,n,t){return y2e(T,$,r,n,t)}function F(r,n,t){return y2e(k,N,r,n,t)}var U=G(n,s,function(n){return Liu(r,n)});return function(r,n,t){return y2e(U,F,r,n,t)}});V=dn;break r;case 6:var mn=t[1],_n=Yuu(r,yTt),hn=_n[2],xn=_n[1],yn=Hfu(r,mn,hn),wn=Rfu(r),gn=$2e(0),qn=function(r,n,t){return gn(wn,yn,r,n,t)},In=Cuu(p(r)),Dn=function(r,n,t){return y2e(In,qn,r,n,t)},En=function(r,n,t){return y2e(hn,Dn,r,n,t)},$n=function(r,n,t){return y2e(xn,En,r,n,t)},Tn=j(1,r,mn),Nn=function(r,n,t){return y2e(Tn,$n,r,n,t)},Fn=Yuu(r,wTt),Gn=Fn[2],Un=Fn[1],Mn=Yuu(r,gTt),Pn=Mn[2],Kn=Mn[1],On=Hfu(r,mn,Pn),Rn=Rfu(r),Qn=$2e(0),Cn=function(r,n,t){return Qn(Rn,On,r,n,t)},Ln=Cuu(p(r)),Hn=function(r,n,t){return y2e(Ln,Cn,r,n,t)},Vn=function(r,n,t){return y2e(Pn,Hn,r,n,t)},Sn=function(r,n,t){return y2e(Kn,Vn,r,n,t)},zn=j(1,r,mn),Jn=function(r,n,t){return y2e(zn,Sn,r,n,t)},Wn=E([0,Rfu(r),[0,function(r,n,t){return y2e(Gn,Jn,r,n,t)},0]]),Zn=function(r,n,t){return y2e(Un,Wn,r,n,t)},Xn=G(n,-18,function(n){return Liu(r,n)}),Yn=function(r,t,e){return y2e(n,Nn,r,t,e)},rt=function(r,n,t){return y2e(Xn,Zn,r,n,t)},nt=$2e(0),tt=Tuu(0),et=Riu(r,function(t){var e=Cuu(-18),u=Liu(r,t);function a(r,n,t){return y2e(u,e,r,n,t)}var c=Kiu(t,Miu(f)),o=f3e[3];function v(r,n,t){return w2e(S$t,0,n,o(r,n,t))}var A=Ouu(4);function s(r,n,t){return y2e(A,v,r,n,t)}function b(r,t,e){return y2e(n,s,r,t,e)}function l(r,n,t){return y2e(c,a,r,n,t)}var B=Piu(t,function(r,n,t){return y2e(i,b,r,n,t)});return function(r,n,t){return y2e(B,l,r,n,t)}}),ut=$2e(0),at=function(r,n,t){return ut(et,tt,r,n,t)},ft=function(r,n,t){return w2e(z$t,0,n,aS(at,r,n,t))},it=Tuu(0),ct=function(r,n,t){return y2e(it,ft,r,n,t)},ot=function(r,n,t){return nt(rt,Yn,r,n,t)},vt=Rfu(r),At=function(r,t,e){return y2e(n,ct,r,t,aS(ot,r,t,e))},st=$2e(0),bt=function(r,n,t){return st(vt,At,r,n,t)},lt=I(0),Bt=Rfu(r),jt=function(r,n,t){return y2e(lt,bt,r,n,t)},kt=$2e(0),pt=function(r,n,t){return kt(Bt,jt,r,n,t)},dt=I(qTt);V=function(r,n,t){return y2e(dt,pt,r,n,t)};break r;case 7:var mt=t[1],_t=mt?U(function(n,t){var e=Yuu(r,n$t),u=e[2],a=e[1],c=Vou(r,d0(mt)),o=luu(r)(e$t,t$t);function v(r,n,t){return y2e(o,c,r,n,t)}function A(r,n,e){return y2e(t,v,r,n,e)}function s(r,n,t){return y2e(i,A,r,n,t)}function b(r,n,t){return y2e(f,s,r,n,t)}function l(r,t,e){return y2e(n,b,r,t,e)}var B=q2e(function(e,c){var o=Swe(c);t:{e:{if("number"==typeof o){if(0!==o)break e}else switch(o[0]){case 2:if(o[1])break e;break;case 6:break;default:break e}var v=Rfu(r);break t}v=q(XEt)}var A=g(u);function s(r,n,t){return y2e(A,u,r,n,t)}function b(r,n,t){return y2e(a,s,r,n,t)}var l=j(0,r,c);function B(r,n,t){return y2e(l,b,r,n,t)}var k=Liu(r,n);function p(r,n,t){return y2e(k,B,r,n,t)}var d=$2e(0);function m(r,n,t){return d(p,v,r,n,t)}var _=luu(r)(r$t,YEt);function h(r,n,t){return y2e(_,m,r,n,t)}function x(r,n,e){return y2e(t,h,r,n,e)}var y=Tuu(e);function w(r,n,t){return y2e(y,x,r,n,t)}function I(r,n,t){return y2e(i,w,r,n,t)}function D(r,n,t){return y2e(f,I,r,n,t)}return function(r,t,e){return y2e(n,D,r,t,e)}},mt);return function(r,n,t){return y2e(B,l,r,n,t)}}):D(t,Vou(r,0));V=_t;break r;case 8:var ht=q(ITt),xt=k(n),yt=G(n,-22,function(n){var t=Yuu(r,JEt),e=t[2],u=t[1],a=Yuu(r,WEt),f=a[1],i=Pou(r,3,[0,e,[0,a[2],0]]);function c(r,n,t){return y2e(f,i,r,n,t)}var o=N();function v(r,n,t){return y2e(o,c,r,n,t)}function A(r,n,t){return y2e(u,v,r,n,t)}var s=F();return E([0,duu(r,ZEt),[0,function(r,n,t){return y2e(s,A,r,n,t)},0]])}),wt=function(r,n,t){return y2e(xt,ht,r,n,t)},gt=$2e(0),qt=ufu(1),It=d(r,t),Dt=function(r,t,e){return y2e(n,It,r,t,e)},Et=function(r,n,t){return y2e(b,Dt,r,n,t)},$t=function(r,n,t){return y2e(v,Et,r,n,t)},Nt=function(r,n,t){return y2e(i,$t,r,n,t)},Ft=function(r,n,t){return gt(yt,wt,r,n,t)},Gt=function(r,n,t){return y2e(a,Nt,r,n,t)},Ut=$2e(0),Mt=function(r,n,t){return Ut(Gt,qt,r,n,t)},Pt=function(r,n,t){return y2e(Mt,Ft,r,n,t)};V=function(r,n,t){return y2e(a,Pt,r,n,t)};break r;case 10:var Kt=t[1];V=M(r,[10,Kt],function(n,t){var e=Yuu(r,zEt),u=e[2],a=e[1],f=Kfu(r),i=j(0,r,Kt);function c(r,n,t){return y2e(i,f,r,n,t)}function o(r,t,e){return y2e(n,c,r,t,e)}function v(r,n,t){return y2e(u,o,r,n,t)}var A=eS(t,u);function s(r,n,t){return y2e(A,v,r,n,t)}function b(r,n,t){return y2e(a,s,r,n,t)}var l=Ufu(r);return function(r,n,t){return y2e(l,b,r,n,t)}});break r}V=Zuu(r,DTt,hXe(t))}function Ot(r,n,t){return y2e(V,C,r,n,t)}function Rt(r,n,t){return y2e(_,Ot,r,n,t)}var Qt=Uiu(f);function Ct(r,n,t){return y2e(Qt,Rt,r,n,t)}var 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w2e(PTt,0,n,y2e(w,d,r,n,t))}var D=c[27].call(null,n),E=Tuu(j),$=f3e[3],T=_(n,r,function(r,n,t){return y2e(f,$,r,n,t)},function(r){var i=Riu(n,function(r){var u=_uu(n,KF+e),f=Viu(0,b);function i(r,n,t){return y2e(f,u,r,n,t)}var c=_uu(n,bp+e);function A(r,n,t){return y2e(c,i,r,n,t)}var l=Viu(0,s),B=Uuu(1,1);function j(r,n,t){return y2e(B,y,r,n,t)}function k(r,n,t){return y2e(x,j,r,n,t)}var d=luu(n)(UTt,GTt);function _(r,n,t){return y2e(d,k,r,n,t)}var w=Tuu(0);function I(r,n,t){return y2e(w,_,r,n,t)}var D=Liu(n,r);function E(r,n,t){return y2e(D,I,r,n,t)}var $=f3e[3];function T(r,n,t){return y2e($,E,r,n,t)}function N(r,n,t){return y2e(o,T,r,n,t)}var F=Quu(5,0);function G(r,n,t){return y2e(l,A,r,n,t)}var U=nau(0,function(r,n,t){return y2e(x,F,r,n,t)},function(r,n,t){return y2e(s,N,r,n,t)});function M(r,n,t){return y2e(U,G,r,n,t)}var P=g2e(function(t){function u(r){return Rfu(n)}var f=Swe(t);r:{n:{if("number"==typeof f){if(0!==f)break n}else switch(f[0]){case 2:if(f[1])break n;var 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y2e(Wn,ut,r,n,t)},ft=Csu(r,n,Nn),it=function(r,n,t){return y2e(ft,at,r,n,t)},ct=function(r,n,t){return y2e(Sn,it,r,n,t)},ot=Csu(r,n,Dn),vt=function(r,n,t){return y2e(ot,ct,r,n,t)},At=function(r,n,t){return y2e(Cn,vt,r,n,t)},bt=Csu(r,n,Gn),Bt=function(r,n,t){return y2e(bt,At,r,n,t)},jt=function(r,n,t){return y2e(On,Bt,r,n,t)},kt=Csu(r,n,En);return[0,uY,function(r,n,t){return y2e(kt,jt,r,n,t)}];case 29:if(!f)break r;var pt=f[2];if(!pt)break r;var dt=pt[2];if(!dt)break r;var mt=dt[2];if(!mt)break r;var _t=mt[2];if(!_t)break r;var ht=_t[2];if(!ht)break r;if(ht[2])break r;var xt=ht[1],yt=_t[1],wt=mt[1],gt=dt[1],qt=pt[1],It=f[1],Dt=Yuu(r,alt),Et=Dt[2],$t=Dt[1],Tt=Yuu(r,flt),Nt=Tt[2],Ft=Tt[1],Gt=Yuu(r,ilt),Pt=Gt[2],Kt=Gt[1],Ot=Yuu(r,clt),Rt=Ot[2],Qt=Ot[1],Ct=Yuu(r,olt),Lt=Ct[2],Ht=Ct[1],Vt=kAu(0,n,ZX),St=IAu(r,Vgt,Et,wAu(r,0)([0,Pt,[0,Rt,[0,Lt,0]]]),function(n){var t=fou(r);return function(r,n,e){return y2e(Nt,t,r,n,e)}},Vt),zt=function(r,n,t){return 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mu=Yuu(r,klt),_u=mu[2],hu=mu[1],xu=Yuu(r,plt),yu=xu[2],wu=xu[1],gu=sge(_e[3][1])[4],qu=kAu(0,n,ZX);if(1>>0)throw LQ([0,mS,Ogt],1);var Iu=nvu(r),Du=tou(r,1,Rgt),Eu=function(r,n,t){return y2e(Du,Iu,r,n,t)},$u=rvu(r),Nu=uvu(r,Qgt),Fu=function(r,n,t){return y2e($u,Eu,r,n,t)},Gu=function(r,n,t){return y2e(Nu,Fu,r,n,t)},Uu=function(r,n,t){return y2e(qu,Gu,r,n,t)},Mu=uvu(r,Cgt),Pu=function(r,n,t){return y2e(Mu,Uu,r,n,t)},Ku=Ovu[27].call(null,r,gu),Ou=function(r,n,t){return y2e(Ku,Pu,r,n,t)},Ru=function(r,n,t){return y2e(yu,Ou,r,n,t)},Qu=uvu(r,Lgt),Cu=function(r,n,t){return y2e(Qu,Ru,r,n,t)},Lu=function(r,n,t){return y2e(Fuu,Cu,r,n,t)},Hu=qAu(),Vu=function(r,n,t){return y2e(Hu,Lu,r,n,t)},Su=function(r,n,t){return y2e(Fuu,Vu,r,n,t)},zu=qAu(),Ju=function(r,n,t){return y2e(zu,Su,r,n,t)},Wu=fou(r),Zu=function(r,n,t){return y2e(Wu,Ju,r,n,t)},Xu=Fou(0,1),Yu=function(r,n,t){return y2e(Xu,Zu,r,n,t)},ra=function(r,n,t){return y2e(_u,Yu,r,n,t)},na=fou(r),ta=function(r,n,t){return y2e(na,ra,r,n,t)},ea=Fou(0,0),ua=function(r,n,t){return y2e(ea,ta,r,n,t)},fa=function(r,n,t){return y2e(_u,ua,r,n,t)},ia=function(r,n,t){return y2e(wu,fa,r,n,t)},oa=Csu(r,n,me),va=function(r,n,t){return y2e(oa,ia,r,n,t)},Aa=function(r,n,t){return y2e(hu,va,r,n,t)},sa=rAu(r,$e,0),ba=function(r,n,t){return y2e(sa,Aa,r,n,t)};return[0,Vvu(qe),function(r,n,t){return y2e(Ee,ba,r,n,t)}];case 1:var la=a[2],Ba=a[1];if(!la){if(!f)break r;if(f[2])break r;return Osu(r,n,f[1])}if(!f)break r;if(f[2])break r;n:{var ja=f[1];if("number"==typeof Ba){if(1===Ba){var ka=[0,0,3,function(r,n,t){return w2e(0,0,n,t)}];break n}}else if(2===Ba[0])switch(la){case 1:var da=Ba[1];switch(da){case 7:var ma=1<=ef-2>>>0){switch(Za){case 0:var uf=lY(w_t);break;case 1:throw LQ([0,mS,g_t],1);case 2:uf=q_t;break;case 3:uf=I_t;break;case 4:uf=D_t;break;default:uf=E_t}var af=uf[5],ff=uf[4],cf=uf[3],of=uf[2],vf=uf[1];switch(ef){case 6:var Af=[18,[1,of]],sf=function(r,n,t){return w2e(Af,0,n,t)};break;case 11:var bf=[18,[1,cf]];sf=function(r,n,t){return w2e(bf,0,n,t)};break;case 2:case 7:sf=Ecu(r,vf);break;case 8:case 9:case 10:var lf=[18,[0,af]];sf=function(r,n,t){return w2e(lf,0,n,t)};break;case 3:case 4:case 5:case 14:var jf=[18,[0,ff]];sf=function(r,n,t){return w2e(jf,0,n,t)};break;default:sf=Zuu(r,y_t,rDe(ef))}tf=sf;break n}}}tf=Zuu(r,x_t,PTe(Za))}rf=[0,Svu(Ca),tf]}var kf=rf[1],pf=rf[2],df=Rsu(r,n,kf,Xa),mf=function(r,n,t){return y2e(df,pf,r,n,t)},_f=Rsu(r,n,kf,Ya);return[0,0,function(r,n,t){return y2e(_f,mf,r,n,t)}];case 4:if(!f)break r;if(f[2])break r;var hf=f[1],wf=Hou(0,a[1]),gf=Csu(r,n,hf);return[0,0,function(r,n,t){return y2e(gf,wf,r,n,t)}];case 5:if(!f)break r;if(f[2])break r;var qf=a[1];return[0,0,Jfu(r,qf,Csu(r,n,f[1]))];case 6:if(!f)break r;if(f[2])break r;var If=f[1],$f=a[1],Tf=Osu(r,n,If),Nf=Tf[2],Ff=Tf[1];if("number"!=typeof Ff&&3===Ff[0]){var Gf=Ff[1][2];if("number"!=typeof Gf&&2===Gf[0])return[0,[3,H0($f,Gf[1])],Nf]}var Uf=Zcu(r,If[3][1],$f),Mf=rAu(r,Ff,0),Pf=function(r,n,t){return y2e(Mf,Uf,r,n,t)};return[0,0,function(r,n,t){return y2e(Nf,Pf,r,n,t)}];case 7:if(!f)break r;if(f[2])break r;var Kf=f[1],Of=Avu(r,a[1]),Rf=Csu(r,n,Kf);return[0,0,function(r,n,t){return y2e(Rf,Of,r,n,t)}];case 8:var Cf=a[1],Lf=D0(function(t){return Csu(r,n,t)},f);return[0,0,Pou(r,1===Cf?1:0,Lf)];case 9:if(!f)break r;if(f[2])break r;var Hf=a[1],Vf=f[1],Sf=tAu[29].call(null,Hf,n[3]);if(!Sf)throw LQ([0,C2e,eS(I6(Uqt),Hf)],1);var zf=Sf[1],Jf=function(r,n,t){return U2e(zf,r,n,t)},Wf=Csu(r,n,Vf);return[0,3,function(r,n,t){return y2e(Wf,Jf,r,n,t)}];case 12:if(!f)break r;if(f[2])break r;var Zf=f[1],Xf=a[1],Yf=bau(0,r,GJt,FJt,NJt,function(r,n,t){var e=Yuu(r,TJt),u=e[2],a=e[1],f=Pau();function i(r,n,t){return y2e(f,u,r,n,t)}function c(r,n,e){return y2e(t,i,r,n,e)}function o(r,t,e){return y2e(n,c,r,t,e)}var v=aou();function A(r,n,t){return y2e(v,o,r,n,t)}function s(r,n,t){return y2e(u,A,r,n,t)}function b(r,n,t){return y2e(a,s,r,n,t)}var l=uou(r,0,t);return function(r,n,t){return y2e(l,b,r,n,t)}}),ri=Ovu[27].call(null,r,Xf),ni=function(r,n,t){return y2e(ri,Yf,r,n,t)},ti=Csu(r,n,Zf);return[0,0,function(r,n,t){return y2e(ti,ni,r,n,t)}];case 13:if(!f)break r;if(f[2])break r;var ei=a[1],ui=f[1],ai=Ovu[28].call(null,0,r,ei),fi=ufu(0),ii=function(r,n,t){return y2e(fi,ai,r,n,t)},ci=Csu(r,n,ui);return[0,Vvu(d0(ei)),function(r,n,t){return y2e(ci,ii,r,n,t)}];case 14:if(!f)break r;if(f[2])break r;var oi=a[1],vi=f[1];if(oi){if(oi[2])var Ai=d0(oi),si=eS(I6(_lt),Ai),bi=vau(0,r,si,Tje(Ai,function(r){return[0,eS(I6(Hbt),r),0]}),hlt,function(r,n){var t=Tje(Ai,function(r){return h0(n,r)});return function n(e){if(!e)return Hfu(r,[7,oi],Pou(r,2,t));var u=e[1],a=n(e[2]),f=Rfu(r),i=$2e(0);function c(r,n,t){return i(f,a,r,n,t)}var o=Cuu(Ovu[22].call(null,r));function v(r,n,t){return y2e(o,c,r,n,t)}return function(r,n,t){return y2e(u,v,r,n,t)}}(t)});else{var Bi=oi[1],ji=Yuu(r,xlt),ki=ji[2],pi=ji[1],di=Hfu(r,Bi,ki),mi=Rfu(r),_i=$2e(0),hi=function(r,n,t){return _i(mi,di,r,n,t)},xi=Cuu(Ovu[22].call(null,r)),yi=function(r,n,t){return y2e(xi,hi,r,n,t)},wi=function(r,n,t){return y2e(ki,yi,r,n,t)};bi=function(r,n,t){return y2e(pi,wi,r,n,t)}}var gi=bi}else gi=Hfu(r,YS,Lou());var qi=Ovu[28].call(null,0,r,oi),Ii=function(r,n,t){return y2e(qi,gi,r,n,t)},Di=ufu(1),Ei=function(r,n,t){return y2e(Di,Ii,r,n,t)},$i=Csu(r,n,vi);return[0,0,function(r,n,t){return y2e($i,Ei,r,n,t)}];case 15:if(!f)break r;if(f[2])break r;var Ti=f[1],Ni=a[2],Fi=a[1];n:{t:{switch(Fi){case 2:if(6<=Ni){if(7<=Ni)break n;var Gi=sau(1,r,glt,wlt,ylt,function(r,n){var t=Kcu(r);function e(r,e,u){return y2e(n,t,r,e,u)}var u=_uu(r,Lbt);function a(r,n,t){return y2e(u,e,r,n,t)}var f=Tcu(r,64);function i(r,n,t){return y2e(f,a,r,n,t)}return function(r,t,e){return y2e(n,i,r,t,e)}}),Ui=Csu(r,n,Ti);return[0,qlt,function(r,n,t){return y2e(Ui,Gi,r,n,t)}]}if(3>Ni)break n;var Mi=sau(1,r,O2e(Ni,Elt),Dlt,Ilt,function(r,n){var t=diu(Ni),e=Ocu(r);function u(r,n,u){return y2e(e,t,r,n,u)}function a(r,t,e){return y2e(n,u,r,t,e)}var f=_uu(r,Cbt);function i(r,n,t){return y2e(f,a,r,n,t)}var c=Tcu(r,Aiu(Ni));function o(r,n,t){return y2e(c,i,r,n,t)}return function(r,t,e){return y2e(n,o,r,t,e)}}),Pi=Csu(r,n,Ti);return[0,Svu([2,Ni]),function(r,n,t){return y2e(Pi,Mi,r,n,t)}];case 3:if(4!==Ni)break t;var Ki=diu(4),Oi=piu(3),Ri=function(r,n,t){return y2e(Oi,Ki,r,n,t)},Qi=Rsu(r,n,$lt,Ti);return[0,Tlt,function(r,n,t){return y2e(Qi,Ri,r,n,t)}];case 4:var Ci=Ni-3|0;if(2>>0)break t;switch(Ci){case 0:var Li=Aiu(Ni),Hi=Yuu(r,Nlt),Vi=Hi[2],Si=Hi[1],zi=Uuu(Kuu,Li),Ji=function(r,n,t){return y2e(Vi,zi,r,n,t)},Wi=muu(r,Flt),Zi=function(r,n,t){return y2e(Wi,Ji,r,n,t)},Xi=Uuu(Muu,32-Li|0),Yi=function(r,n,t){return y2e(Xi,Zi,r,n,t)},rc=function(r,n,t){return y2e(Vi,Yi,r,n,t)},nc=function(r,n,t){return y2e(Si,rc,r,n,t)},tc=Rsu(r,n,Glt,Ti);return[0,Ult,function(r,n,t){return y2e(tc,nc,r,n,t)}];case 1:break t;default:var ec=diu(5),uc=piu(4),ac=function(r,n,t){return y2e(uc,ec,r,n,t)},fc=Rsu(r,n,Mlt,Ti);return[0,Plt,function(r,n,t){return y2e(fc,ac,r,n,t)}]}case 5:switch(Ni){case 2:var ic=Mcu(r),cc=Rsu(r,n,Klt,Ti);return[0,0,function(r,n,t){return y2e(cc,ic,r,n,t)}];case 4:var vc=Aiu(Ni),Ac=Yuu(r,Olt),sc=Ac[2],bc=Ac[1],lc=Uuu(Kuu,vc),Bc=function(r,n,t){return y2e(sc,lc,r,n,t)},jc=muu(r,Rlt),kc=function(r,n,t){return y2e(jc,Bc,r,n,t)},pc=Uuu(Muu,vc),dc=function(r,n,t){return y2e(pc,kc,r,n,t)},mc=function(r,n,t){return y2e(sc,dc,r,n,t)},_c=function(r,n,t){return y2e(bc,mc,r,n,t)},hc=Rsu(r,n,Qlt,Ti);return[0,[2,Ni],function(r,n,t){return y2e(hc,_c,r,n,t)}];case 6:var xc=function(r,n,t){return w2e(Clt,0,n,t)},yc=Rsu(r,n,Llt,Ti);return[0,Hlt,function(r,n,t){return y2e(yc,xc,r,n,t)}];case 14:var wc=qiu(r),gc=Rsu(r,n,Vlt,Ti);return[0,Slt,function(r,n,t){return y2e(gc,wc,r,n,t)}];default:break n}case 6:if(2===Ni){var qc=Pcu(r),Dc=Rsu(r,n,Ylt,Ti);return[0,0,function(r,n,t){return y2e(Dc,qc,r,n,t)}]}if(5!==Ni)break n;var Ec=iH(Aiu(Ni)),$c=rau(r,zlt),Tc=$c[2],Nc=function(r,n,t){return w2e(Jlt,0,n,t)},Fc=$c[1],Gc=function(r,n,t){return y2e(Tc,Nc,r,n,t)},Uc=muu(r,Wlt),Mc=function(r,n,t){return w2e(Zlt,0,n,y2e(Uc,Gc,r,n,t))},Pc=Huu(Ec),Oc=function(r,n,t){return y2e(Pc,Mc,r,n,t)},Rc=function(r,n,t){return y2e(Tc,Oc,r,n,t)},Qc=function(r,n,t){return y2e(Fc,Rc,r,n,t)},Cc=Rsu(r,n,Xlt,Ti);return[0,[2,Ni],function(r,n,t){return y2e(Cc,Qc,r,n,t)}];case 7:if(8<=Ni)switch(Ni-8|0){case 3:var Lc=sau(1,r,tBt,nBt,rBt,function(r,n){var t=Kcu(r);function e(r,e,u){return y2e(n,t,r,e,u)}var u=_uu(r,Qbt);function a(r,n,t){return y2e(u,e,r,n,t)}var f=Ncu(r,64);function i(r,n,t){return y2e(f,a,r,n,t)}return function(r,t,e){return y2e(n,i,r,t,e)}}),Hc=Csu(r,n,Ti);return[0,eBt,function(r,n,t){return y2e(Hc,Lc,r,n,t)}];case 4:var Vc=Yuu(r,uBt),Sc=Vc[2],zc=Vc[1],Jc=luu(r)(fBt,aBt),Wc=function(r,n,t){return w2e(cBt,0,n,w2e(iBt,0,n,t))},Zc=pfu(0,0,7),Xc=function(r,n,t){return y2e(Zc,Wc,r,n,t)},Yc=ifu(r,oBt,function(r,n,t){return y2e(Sc,Xc,r,n,t)},function(r,n,t){return y2e(Sc,Jc,r,n,t)}),ro=function(r,n,t){return y2e(Sc,Yc,r,n,t)},no=function(r,n,t){return y2e(zc,ro,r,n,t)},to=Csu(r,n,Ti);return[0,1,function(r,n,t){return y2e(to,no,r,n,t)}];case 0:case 1:case 2:var uo=sau(1,r,O2e(Ni,sBt),ABt,vBt,function(r,n){var t=diu(Ni),e=Ocu(r);function u(r,n,u){return y2e(e,t,r,n,u)}function a(r,t,e){return y2e(n,u,r,t,e)}var f=_uu(r,Rbt);function i(r,n,t){return y2e(f,a,r,n,t)}var c=Ncu(r,Aiu(Ni));function o(r,n,t){return y2e(c,i,r,n,t)}return function(r,t,e){return y2e(n,o,r,t,e)}}),ao=Csu(r,n,Ti);return[0,Svu([2,Ni]),function(r,n,t){return y2e(ao,uo,r,n,t)}];default:break n}break n;case 8:if(9===Ni){var fo=Uuu(Puu,8),io=Rsu(r,n,bBt,Ti);return[0,lBt,function(r,n,t){return y2e(io,fo,r,n,t)}]}break;case 9:var co=Ni-8|0;if(2>=co>>>0)switch(co){case 0:var oo=Aiu(Ni),vo=Yuu(r,BBt),Ao=vo[2],so=vo[1],bo=Uuu(Kuu,oo),lo=function(r,n,t){return y2e(Ao,bo,r,n,t)},Bo=_uu(r,jBt),jo=function(r,n,t){return y2e(Bo,lo,r,n,t)},ko=Gsu(r)(kBt),po=function(r,n,t){return y2e(ko,jo,r,n,t)},mo=function(r,n,t){return y2e(Ao,po,r,n,t)},_o=Uuu(Puu,oo),ho=function(r,n,t){return y2e(_o,mo,r,n,t)},xo=Uuu(Kuu,oo),yo=function(r,n,t){return y2e(xo,ho,r,n,t)},wo=function(r,n,t){return y2e(Ao,yo,r,n,t)},qo=function(r,n,t){return y2e(so,wo,r,n,t)},Do=Rsu(r,n,pBt,Ti);return[0,dBt,function(r,n,t){return y2e(Do,qo,r,n,t)}];case 1:break;default:var Eo=Uuu(Puu,16),$o=Rsu(r,n,mBt,Ti);return[0,_Bt,function(r,n,t){return y2e($o,Eo,r,n,t)}]}break;case 10:if(12<=Ni)break n;switch(Ni){case 7:var To=Gcu(r),No=Rsu(r,n,hBt,Ti);return[0,0,function(r,n,t){return y2e(No,To,r,n,t)}];case 9:var Fo=Aiu(Ni),Go=Yuu(r,xBt),Uo=Go[2],Mo=Go[1],Po=Uuu(Kuu,Fo),Ko=function(r,n,t){return y2e(Uo,Po,r,n,t)},Oo=_uu(r,yBt),Ro=function(r,n,t){return y2e(Oo,Ko,r,n,t)},Qo=Gsu(r)(tz),Co=function(r,n,t){return y2e(Qo,Ro,r,n,t)},Lo=function(r,n,t){return y2e(Uo,Co,r,n,t)},Ho=Uuu(Puu,Fo),Vo=function(r,n,t){return y2e(Ho,Lo,r,n,t)},So=Uuu(Kuu,Fo),zo=function(r,n,t){return y2e(So,Vo,r,n,t)},Jo=function(r,n,t){return y2e(Uo,zo,r,n,t)},Wo=function(r,n,t){return y2e(Mo,Jo,r,n,t)},Zo=Rsu(r,n,wBt,Ti);return[0,gBt,function(r,n,t){return y2e(Zo,Wo,r,n,t)}];case 11:var Yo=function(r,n,t){return w2e(qBt,0,n,t)},nv=Rsu(r,n,IBt,Ti);return[0,DBt,function(r,n,t){return y2e(nv,Yo,r,n,t)}];default:break n}case 11:var tv=Ni-7|0;if(5>>0)break n;switch(tv){case 0:var ev=Ucu(r),uv=Rsu(r,n,EBt,Ti);return[0,0,function(r,n,t){return y2e(uv,ev,r,n,t)}];case 3:var av=Aiu(Ni),fv=rau(r,$Bt),iv=fv[2],cv=function(r,n,t){return w2e(TBt,0,n,t)},ov=fv[1],Av=function(r,n,t){return y2e(iv,cv,r,n,t)},sv=_uu(r,NBt),bv=function(r,n,t){return y2e(sv,Av,r,n,t)},lv=Gsu(r)(FBt),Bv=function(r,n,t){return y2e(lv,bv,r,n,t)},jv=function(r,n,t){return y2e(iv,Bv,r,n,t)},kv=Vuu(iH(av)),pv=function(r,n,t){return y2e(kv,jv,r,n,t)},dv=Suu(iH(av)),mv=function(r,n,t){return y2e(dv,pv,r,n,t)},_v=function(r,n,t){return y2e(iv,mv,r,n,t)},hv=function(r,n,t){return y2e(ov,_v,r,n,t)},xv=Rsu(r,n,GBt,Ti);return[0,[2,Ni],function(r,n,t){return y2e(xv,hv,r,n,t)}];case 5:var yv=function(r,n,t){return w2e(UBt,0,n,t)},gv=Rsu(r,n,MBt,Ti);return[0,1,function(r,n,t){return y2e(gv,yv,r,n,t)}];default:break n}case 12:var qv=Ni-7|0;if(6>>0)break n;switch(qv){case 0:var Iv=luu(r)(KBt,PBt),Dv=Rsu(r,n,1,Ti);return[0,0,function(r,n,t){return y2e(Dv,Iv,r,n,t)}];case 4:var Ev=function(r,n,t){return w2e(OBt,0,n,t)},$v=Rsu(r,n,1,Ti);return[0,RBt,function(r,n,t){return y2e($v,Ev,r,n,t)}];case 6:var Tv=function(r,n,t){return w2e(QBt,0,n,t)},Nv=Rsu(r,n,1,Ti);return[0,2,function(r,n,t){return y2e(Nv,Tv,r,n,t)}];default:break n}case 13:if(12!==Ni)break n;var Fv=function(r,n,t){return w2e(CBt,0,n,t)},Gv=Rsu(r,n,2,Ti);return[0,1,function(r,n,t){return y2e(Gv,Fv,r,n,t)}];default:break n}if(7!==Ni)break n;var Uv=biu(Fi),Mv=Gcu(r),Pv=Uuu(Puu,Uv),Kv=function(r,n,t){return y2e(Pv,Mv,r,n,t)},Ov=Rsu(r,n,[2,Fi],Ti);return[0,0,function(r,n,t){return y2e(Ov,Kv,r,n,t)}]}if(2===Ni){var Rv=biu(Fi),Qv=Mcu(r),Cv=Uuu(Muu,Rv),Lv=function(r,n,t){return y2e(Cv,Qv,r,n,t)},Hv=Rsu(r,n,[2,Fi],Ti);return[0,0,function(r,n,t){return y2e(Hv,Lv,r,n,t)}]}}return[0,3,Zuu(r,LBt,DXe(a))];case 16:if(!f)break r;if(f[2])break r;var Vv=f[1],Sv=a[2],Jv=a[1];n:{t:{e:{switch(Jv){case 3:if(8===Sv)break n;break t;case 4:if(9===Sv)break n;break t;case 5:if(10===Sv)break e;break t;case 6:if(11!==Sv)break t;break;case 8:if(3===Sv)break n;break t;case 9:if(4===Sv)break n;break t;case 10:if(5===Sv)break e;break t;case 11:if(6!==Sv)break t;break;case 14:if(5!==Sv)break t;var Wv=wiu(),Zv=Rsu(r,n,[2,Jv],Vv);return[0,HBt,function(r,n,t){return y2e(Zv,Wv,r,n,t)}];case 2:case 7:switch(Sv){case 5:case 10:var Xv=Ocu(r),Yv=Csu(r,n,Vv);return[0,[2,Sv],function(r,n,t){return y2e(Yv,Xv,r,n,t)}];case 6:case 11:var rA=Kcu(r),nA=Csu(r,n,Vv);return[0,[1,Sv],function(r,n,t){return y2e(nA,rA,r,n,t)}];case 3:case 4:case 8:case 9:var tA=Uuu(Kuu,biu(Sv)),eA=Ocu(r),uA=function(r,n,t){return y2e(eA,tA,r,n,t)},aA=Csu(r,n,Vv);return[0,[2,Sv],function(r,n,t){return y2e(aA,uA,r,n,t)}];default:break t}default:break t}return[0,[1,Sv],Rsu(r,n,[1,Jv],Vv)]}return[0,[2,Sv],Rsu(r,n,[2,Jv],Vv)]}return[0,3,Zuu(r,VBt,DXe(a))]}return[0,[2,Sv],Rsu(r,n,[2,Jv],Vv)];case 17:if(!f)break r;if(f[2])break r;return Osu(r,n,f[1]);case 18:if(!f)break r;if(f[2])break r;var fA=f[1],iA=Yuu(r,SBt),cA=iA[2],oA=iA[1],vA=iou(r,0,3),AA=function(r,n,t){return y2e(cA,vA,r,n,t)},sA=_uu(r,zBt),bA=function(r,n,t){return w2e(JBt,0,n,y2e(sA,AA,r,n,t))},lA=Tuu(29),jA=function(r,n,t){return y2e(lA,bA,r,n,t)},kA=rou(),pA=function(r,n,t){return y2e(kA,jA,r,n,t)},dA=function(r,n,t){return y2e(cA,pA,r,n,t)},mA=function(r,n,t){return y2e(oA,dA,r,n,t)},_A=Csu(r,n,fA);return[0,0,function(r,n,t){return y2e(_A,mA,r,n,t)}];case 19:if(f)break r;return[0,0,cvu(r)];case 20:var hA=a[1],xA=fL(hA,rE);if(0<=xA){if(0>=xA){if(!f)break r;if(f[2])break r;return[0,0,duu(r,odt)]}var yA=fL(hA,gh);if(0<=yA){if(0>=yA){if(f)break r;var wA=Pcu(r),gA=pau(r);return[0,0,function(r,n,t){return y2e(gA,wA,r,n,t)}]}var qA=fL(hA,Df);n:{if(0>qA){var IA=fL(hA,v_);if(0>IA){var DA=fL(hA,Tu);if(0<=DA){if(0>=DA){if(f)break r;var EA=Pcu(r),$A=luu(r)(C6t,Q6t);return[0,0,function(r,n,t){return y2e($A,EA,r,n,t)}]}if(hA===p){if(f)break r;var TA=Pcu(r),NA=jvu(r);return[0,0,function(r,n,t){return y2e(NA,TA,r,n,t)}]}if(hA===pq){if(f)break r;var GA=Pcu(r),UA=luu(r)(H6t,L6t);return[0,0,function(r,n,t){return y2e(UA,GA,r,n,t)}]}if(hA===UU){if(f)break r;var MA=Pcu(r),PA=[11,[0,Wle,auu(r,rUt)]];return[0,0,function(r,n,t){return w2e(PA,0,n,MA(r,n,t))}]}if(hA!==lI){if(hA!==hq)break r;if(!f)break r;var KA=f[2];if(!KA)break r;var RA=KA[2];if(!RA)break r;if(RA[2])break r;var CA=RA[1],LA=KA[1],HA=f[1],VA=Ovu[7][26].call(null,r),SA=Rsu(r,n,Mpt,CA),zA=function(r,n,t){return y2e(SA,VA,r,n,t)},JA=_uu(r,Ppt),ZA=function(r,n,t){return y2e(JA,zA,r,n,t)},XA=Ovu[7][23].call(null,r),ns=function(r,n,t){return y2e(XA,ZA,r,n,t)},ts=Ovu[7][24].call(null,r),es=function(r,n,t){return y2e(ts,ns,r,n,t)},us=Rsu(r,n,Kpt,LA),as=function(r,n,t){return y2e(us,es,r,n,t)},fs=Ovu[7][22].call(null,r),is=function(r,n,t){return y2e(fs,as,r,n,t)},cs=Rsu(r,n,Opt,HA);return[0,uY,function(r,n,t){return y2e(cs,is,r,n,t)}]}if(f)break r;return[0,0,luu(r)(Qpt,Rpt)]}if(hA===jD){if(f)break r;var os=Pcu(r),vs=dvu(r);return[0,0,function(r,n,t){return y2e(vs,os,r,n,t)}]}if(hA===v){if(f)break r;var As=Mcu(r),bs=luu(r)(R6t,O6t);return[0,0,function(r,n,t){return y2e(bs,As,r,n,t)}]}if(hA===Rw){if(f)break r;var ls=Mcu(r),Bs=Tuu(Oau());return[0,0,function(r,n,t){return y2e(Bs,ls,r,n,t)}]}if(hA!==BA){if(hA!==WA)break r;if(f)break r;var ks=Pcu(r),ps=jau(r);return[0,0,function(r,n,t){return y2e(ps,ks,r,n,t)}]}if(f)break r;var ds=Pcu(r);return[0,0,function(r,n,t){return w2e(5,0,n,w2e(efe,0,n,Nau(r,n,ds(r,n,t))))}]}if(0>=IA){if(!f)break r;var ms=f[2];if(!ms)break r;if(ms[2])break r;var _s=ms[1],xs=f[1],ys=Ovu[7][30].call(null,r),ws=Rsu(r,n,zpt,_s),gs=function(r,n,t){return y2e(ws,ys,r,n,t)},qs=Ovu[7][28].call(null,r),Is=function(r,n,t){return y2e(qs,gs,r,n,t)},Ds=Rsu(r,n,Jpt,xs);return[0,uY,function(r,n,t){return y2e(Ds,Is,r,n,t)}]}var Es=fL(hA,PK);t:{e:{if(0<=Es){if(0=vb){if(f)break r;var Ab=Avu(r,bz),sb=cvu(r);return[0,0,function(r,n,t){return y2e(sb,Ab,r,n,t)}]}var lb=fL(hA,Io);if(0<=lb){if(0>=lb){if(!f)break r;if(f[2])break r;var Bb=f[1],jb=luu(r)(_St,mSt),kb=Csu(r,n,Bb);return[0,0,function(r,n,t){return y2e(kb,jb,r,n,t)}]}if(hA===qm){if(!f)break r;if(f[2])break r;var pb=f[1],db=luu(r)(dSt,pSt),mb=Csu(r,n,pb);return[0,0,function(r,n,t){return y2e(mb,db,r,n,t)}]}if(hA===Bk){if(!f)break r;if(f[2])break r;var _b=f[1],hb=ivu(r),xb=fou(r),yb=function(r,n,t){return y2e(xb,hb,r,n,t)},gb=Dou(r),Ib=function(r,n,t){return y2e(gb,yb,r,n,t)},Db=Csu(r,n,_b);return[0,3,function(r,n,t){return y2e(Db,Ib,r,n,t)}]}if(hA!==tn){if(hA!==bG)break r;if(!f)break r;if(f[2])break r;return N0(the,[0,P_e(f_e,adt,udt,0,0,0,edt),0]),Ile(0)}if(!f)break r;if(f[2])break r;return N0(the,[0,P_e(f_e,cdt,idt,0,0,0,fdt),0]),Ile(0)}if(hA===xf){if(!f)break r;var Eb=f[2];if(!Eb)break r;if(Eb[2])break r;var $b=Eb[1],Tb=f[1],Nb=diu(8),Gb=luu(r)(ndt,rdt),Ub=function(r,n,t){return y2e(Gb,Nb,r,n,t)},Mb=Csu(r,n,$b),Pb=function(r,n,t){return y2e(Mb,Ub,r,n,t)},Kb=Csu(r,n,Tb);return[0,tdt,function(r,n,t){return y2e(Kb,Pb,r,n,t)}]}if(hA===U){if(!f)break r;if(f[2])break r;var Ob=f[1],Rb=luu(r)(lSt,bSt),Qb=Csu(r,n,Ob);return[0,0,function(r,n,t){return y2e(Qb,Rb,r,n,t)}]}if(hA===tO){if(!f)break r;if(f[2])break r;var Cb=f[1],Lb=luu(r)(sSt,ASt),Hb=Csu(r,n,Cb);return[0,0,function(r,n,t){return y2e(Hb,Lb,r,n,t)}]}if(hA!==IP){if(hA!==mg)break r;if(!f)break r;if(f[2])break r;var Vb=f[1],Sb=sau(1,r,ESt,DSt,ISt,function(r,n){var t=Mcu(r),e=luu(r)(qSt,gSt);function u(r,n,u){return y2e(e,t,r,n,u)}return function(r,t,e){return y2e(n,u,r,t,e)}}),zb=Csu(r,n,Vb);return[0,0,function(r,n,t){return y2e(zb,Sb,r,n,t)}]}if(!f)break r;if(f[2])break r;var Jb=f[1],Wb=luu(r)(vSt,oSt),Zb=function(r,n,t){return y2e(Wb,giu,r,n,t)},Xb=Csu(r,n,Jb);return[0,Ypt,function(r,n,t){return y2e(Xb,Zb,r,n,t)}]}var Yb=fL(hA,Fn);t:{e:{if(0<=Yb){u:if(0eB){var aB=fL(hA,ED);if(0<=aB){if(0>=aB)return i(0,iou(r,3,2));var fB=fL(hA,eK);if(0<=fB){if(0>=fB){if(!f)break r;var iB=f[2];if(!iB)break r;if(iB[2])break r;var cB=iB[1],oB=f[1],vB=wou(r),AB=Rsu(r,n,Ept,cB),sB=function(r,n,t){return y2e(AB,vB,r,n,t)},bB=Rsu(r,n,0,oB);return[0,1,function(r,n,t){return y2e(bB,sB,r,n,t)}]}if(hA!==Z$){if(hA===br)break e;if(hA===ar)break t;if(hA===vK)break n;if(hA!==fk)break r}if(!f)break r;var lB=f[2];if(!lB)break r;if(lB[2])break r;var BB=lB[1],jB=f[1],kB=hA===fk?4:9,pB=diu(kB),dB=dou(r),mB=function(r,n,t){return y2e(dB,pB,r,n,t)},_B=Rsu(r,n,_dt,BB),hB=function(r,n,t){return y2e(_B,mB,r,n,t)},xB=Rsu(r,n,0,jB);return[0,[2,kB],function(r,n,t){return y2e(xB,hB,r,n,t)}]}if(hA===$q)return i(0,iou(r,0,2));if(hA===wd){if(!f)break r;if(f[2])break r;var yB=f[1],wB=sau(1,r,qQt,gQt,0,function(r,n){var t=Yuu(r,wQt),e=t[2],u=t[1],a=fvu(r),f=rou();function i(r,n,t){return y2e(f,a,r,n,t)}function c(r,n,t){return y2e(e,i,r,n,t)}var o=aou();function v(r,n,t){return y2e(o,c,r,n,t)}function A(r,n,t){return y2e(e,v,r,n,t)}function s(r,n,t){return y2e(u,A,r,n,t)}var b=Dou(r);function l(r,n,t){return y2e(b,s,r,n,t)}return function(r,t,e){return y2e(n,l,r,t,e)}}),gB=Csu(r,n,yB);return[0,uY,function(r,n,t){return y2e(gB,wB,r,n,t)}]}if(hA===_D){if(!f)break r;var qB=f[2];if(!qB)break r;if(qB[2])break r;var IB=qB[1],DB=f[1],EB=lou(r),NB=Rsu(r,n,Ipt,IB),FB=function(r,n,t){return y2e(NB,EB,r,n,t)},GB=Rsu(r,n,0,DB);return[0,Dpt,function(r,n,t){return y2e(GB,FB,r,n,t)}]}if(hA!==ew){if(hA!==eD)break r;if(!f)break r;var UB=f[2];if(!UB)break r;var MB=UB[2];if(!MB)break r;if(MB[2])break r;var PB=MB[1],KB=UB[1],OB=f[1],RB=Bou(r),QB=Qcu(r),CB=function(r,n,t){return y2e(QB,RB,r,n,t)},LB=tou(r,1,gpt),HB=function(r,n,t){return y2e(LB,CB,r,n,t)},VB=Rsu(r,n,0,PB),SB=function(r,n,t){return y2e(VB,HB,r,n,t)},zB=Rsu(r,n,qpt,KB),JB=function(r,n,t){return y2e(zB,SB,r,n,t)},WB=Rsu(r,n,0,OB);return[0,0,function(r,n,t){return y2e(WB,JB,r,n,t)}]}if(!f)break r;if(f[2])break r;var ZB=f[1],XB=Pcu(r),YB=Aou(r),rj=function(r,n,t){return y2e(YB,XB,r,n,t)},nj=Rsu(r,n,0,ZB);return[0,0,function(r,n,t){return y2e(nj,rj,r,n,t)}]}var tj=fL(hA,vR);if(0<=tj){if(0>=tj){if(!f)break r;if(f[2])break r;var ej=function(r,n,t){return w2e(xpt,0,n,t)},uj=Rsu(r,n,ypt,f[1]);return[0,wpt,function(r,n,t){return y2e(uj,ej,r,n,t)}]}if(hA===L_){if(!f)break r;if(f[2])break r;var aj=f[1],fj=diu(3),ij=function(r,n,t){return w2e(mpt,0,n,fj(r,n,t))},cj=Rsu(r,n,_pt,aj);return[0,hpt,function(r,n,t){return y2e(cj,ij,r,n,t)}]}if(hA===$O){if(!f)break r;if(f[2])break r;var oj=f[1],vj=diu(9),Aj=function(r,n,t){return w2e(kpt,0,n,vj(r,n,t))},sj=Rsu(r,n,ppt,oj);return[0,dpt,function(r,n,t){return y2e(sj,Aj,r,n,t)}]}if(hA===yR){if(!f)break r;if(f[2])break r;var bj=function(r,n,t){return w2e(lpt,0,n,t)},lj=Rsu(r,n,Bpt,f[1]);return[0,jpt,function(r,n,t){return y2e(lj,bj,r,n,t)}]}if(hA!==zv){if(hA!==st)break r;if(!f)break r;if(f[2])break r;var Bj=f[1],jj=diu(8),kj=function(r,n,t){return w2e(cpt,0,n,jj(r,n,t))},pj=Rsu(r,n,opt,Bj);return[0,vpt,function(r,n,t){return y2e(pj,kj,r,n,t)}]}if(!f)break r;if(f[2])break r;var dj=function(r,n,t){return w2e(Apt,0,n,t)},mj=Rsu(r,n,spt,f[1]);return[0,bpt,function(r,n,t){return y2e(mj,dj,r,n,t)}]}if(hA===Xw){if(!f)break r;if(f[2])break r;var _j=f[1],hj=Yuu(r,ipt),xj=hj[2],yj=hj[1],wj=avu(iY,r),gj=rou(),qj=function(r,n,t){return y2e(gj,wj,r,n,t)},Ij=function(r,n,t){return y2e(xj,qj,r,n,t)},Dj=aou(),Ej=function(r,n,t){return y2e(Dj,Ij,r,n,t)},$j=function(r,n,t){return y2e(xj,Ej,r,n,t)},Tj=function(r,n,t){return y2e(yj,$j,r,n,t)},Nj=Csu(r,n,_j);return[0,0,function(r,n,t){return y2e(Nj,Tj,r,n,t)}]}if(hA===Sg){if(!f)break r;var Fj=f[2];if(!Fj)break r;if(Fj[2])break r;var Mj=Fj[1],Pj=f[1],Kj=gcu(r),Oj=Rsu(r,n,fpt,Mj),Rj=function(r,n,t){return y2e(Oj,Kj,r,n,t)},Qj=Csu(r,n,Pj);return[0,0,function(r,n,t){return y2e(Qj,Rj,r,n,t)}]}if(hA===YK){if(!f)break r;if(f[2])break r;var Cj=f[1],Lj=avu(ufe,r),Hj=Rsu(r,n,upt,Cj);return[0,apt,function(r,n,t){return y2e(Hj,Lj,r,n,t)}]}if(hA!==uy){if(hA!==zd)break r;if(!f)break r;if(f[2])break r;var Vj=function(r,n,t){return w2e(Xkt,0,n,t)},Sj=Rsu(r,n,Ykt,f[1]);return[0,rpt,function(r,n,t){return y2e(Sj,Vj,r,n,t)}]}if(!f)break r;if(f[2])break r;var zj=f[1],Jj=diu(4),Wj=function(r,n,t){return w2e(npt,0,n,Jj(r,n,t))},Zj=Rsu(r,n,tpt,zj);return[0,ept,function(r,n,t){return y2e(Zj,Wj,r,n,t)}]}if(0Xj){var Yj=fL(hA,VT);if(0<=Yj){if(0>=Yj){if(!f)break r;var rk=f[2];if(!rk)break r;var nk=rk[2];if(!nk)break r;if(nk[2])break r;var tk=nk[1],ek=rk[1],uk=f[1],ak=gou(r),ik=Rsu(r,n,1,tk),ck=function(r,n,t){return y2e(ik,ak,r,n,t)},ok=Rsu(r,n,Npt,ek),vk=function(r,n,t){return y2e(ok,ck,r,n,t)},Ak=Rsu(r,n,0,uk);return[0,uY,function(r,n,t){return y2e(Ak,vk,r,n,t)}]}if(hA!==BN){if(hA===aa)break f;if(hA===Xg)break a;if(hA===XE)break u;if(hA!==Mx)break r}if(!f)break r;var sk=f[2];if(!sk)break r;var bk=sk[2];if(!bk)break r;if(bk[2])break r;var lk=bk[1],jk=sk[1],kk=f[1],pk=hA===Mx?4:9,dk=mou(r),mk=piu(pk),_k=function(r,n,t){return y2e(mk,dk,r,n,t)},hk=Rsu(r,n,[2,pk],lk),xk=function(r,n,t){return y2e(hk,_k,r,n,t)},yk=Rsu(r,n,hdt,jk),wk=function(r,n,t){return y2e(yk,xk,r,n,t)},qk=Rsu(r,n,0,kk);return[0,uY,function(r,n,t){return y2e(qk,wk,r,n,t)}]}if(hA===wp)break t;if(hA===uU)break n;if(hA===js){if(f)break r;return $uu(r),[0,0,luu(r)(lzt,bzt)]}if(hA!==Jh){if(hA!==AD)break r;if(!f)break r;var Ik=f[2];if(!Ik)break r;var Dk=Ik[2];if(!Dk)break r;if(Dk[2])break r;var 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Xd=function(r,n,t){return w2e(mjt,0,n,t)},Yd=Rsu(r,n,_jt,f[1]);return[0,hjt,function(r,n,t){return y2e(Yd,Xd,r,n,t)}]}var rm=fL(hA,Fb);if(0<=rm){if(0>=rm){if(f)break r;return[0,0,cvu(r)]}if(hA===P){if(f)break r;var nm=1>>0?duu(r,FRt):Aau(1,r,URt,GRt,function(r){return cou(r,3,function(r){return uvu(r,TRt)},function(r){return uvu(r,NRt)},function(r){return Tuu(0)})});return[0,0,nm]}if(hA===gT){if(f)break r;return[0,jjt,avu(ffe,r)]}if(hA===dK){if(!f)break r;if(f[2])break r;return Vsu(r,n,f[1],Bjt)}if(hA!==_O){if(hA!==de)break r;if(!f)break r;if(f[2])break r;return Vsu(r,n,f[1],bjt)}if(!f)break r;if(f[2])break r;return Vsu(r,n,f[1],ljt)}if(hA===ca){if(!f)break r;var tm=f[2];if(!tm)break r;if(tm[2])break r;return i(sjt,yiu(r,10))}if(hA===IF){if(!f)break r;var um=f[2];if(!um)break r;if(um[2])break r;return i(Ajt,iiu(r))}if(hA===A_){if(!f)break r;var am=f[2];if(!am)break r;if(am[2])break r;return i(vjt,yiu(r,8))}if(hA!==ih){if(hA!==OA)break r;if(f)break r;return[0,ojt,You(r)]}if(f)break 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y2e(_q,mq,r,n,t)},yq=jvu(r),wq=pvu(r),gq=Cvu(pg),qq=function(r,n,t){return y2e(gq,wq,r,n,t)},Iq=Cvu(Bg),Dq=function(r,n,t){return y2e(Iq,qq,r,n,t)},Eq=Luu(0,aDt),Tq=function(r,n,t){return y2e(Eq,Dq,r,n,t)},Nq=function(r,n,t){return y2e(yq,xq,r,n,t)},Fq=eS(Hvu[1][12],function(r,n,t){return y2e(hg,Tq,r,n,t)}),Gq=function(r,n,t){return y2e(Fq,Nq,r,n,t)},Uq=Ivu(r),Mq=function(r,n,t){return y2e(Uq,Gq,r,n,t)},Kq=function(r,n,t){return y2e(pg,Mq,r,n,t)},Oq=function(r,n,t){return y2e(hg,Kq,r,n,t)},Rq=Fvu(r),Cq=function(r,n,t){return y2e(Rq,Oq,r,n,t)},Lq=Luu(0,fDt),Hq=function(r,n,t){return y2e(Lq,Cq,r,n,t)},Vq=Cvu(pg),Sq=function(r,n,t){return y2e(Vq,Hq,r,n,t)},zq=function(r,n,t){return y2e(hg,Sq,r,n,t)},Jq=function(r,n,t){return y2e(xg,zq,r,n,t)},Wq=Suu(iH(16)),Xq=function(r,n,t){return y2e(Wq,Jq,r,n,t)},Yq=dvu(r),rI=Dvu(r),nI=Bau(r),tI=function(r,n,t){return y2e(nI,rI,r,n,t)},eI=Luu(0,iDt),uI=function(r,n,t){return y2e(eI,tI,r,n,t)},aI=Cvu(pg),fI=pvu(r),iI=Cvu(pg),cI=function(r,n,t){return y2e(iI,fI,r,n,t)},oI=Cvu(Bg),vI=function(r,n,t){return y2e(oI,cI,r,n,t)},AI=Nuu(cDt),sI=function(r,n,t){return y2e(aI,uI,r,n,t)},bI=eS(Hvu[1][12],function(r,n,t){return y2e(AI,vI,r,n,t)}),jI=function(r,n,t){return y2e(bI,sI,r,n,t)},kI=Ivu(r),pI=function(r,n,t){return y2e(kI,jI,r,n,t)},dI=function(r,n,t){return y2e(pg,pI,r,n,t)},mI=Nuu(oDt),_I=function(r,n,t){return y2e(mI,dI,r,n,t)},hI=Fvu(r),xI=function(r,n,t){return y2e(hI,_I,r,n,t)},yI=Luu(0,vDt),wI=function(r,n,t){return y2e(yI,xI,r,n,t)},gI=Cvu(pg),qI=function(r,n,t){return y2e(gI,wI,r,n,t)},II=Nuu(ADt),DI=function(r,n,t){return y2e(II,qI,r,n,t)},EI=_uu(r,"StableMem.get_version() != version_no_stable_memory"),$I=function(r,n,t){return y2e(EI,DI,r,n,t)},TI=Cuu(0),NI=function(r,n,t){return y2e(Yq,Xq,r,n,t)},FI=function(r,n,t){return y2e(TI,$I,r,n,t)},GI=_vu(r),UI=function(r,n,t){return y2e(GI,FI,r,n,t)},MI=function(r,n,t){return w2e(sDt,0,n,E2e(rX,UI,NI,r,n,t))},PI=dvu(r),KI=function(r,n,t){return y2e(PI,MI,r,n,t)},OI=function(r,n,t){return y2e(jg,KI,r,n,t)},RI=function(r,n,t){return y2e(dg,OI,r,n,t)},QI=Hvu[27].call(null,r,[0,sg,0]),CI=function(r,n,t){return y2e(QI,RI,r,n,t)},LI=4===ule[1]?luu(r)(lDt,bDt):x2e,HI=[6,[0,Wle,Auu(r,fY)]];return[0,uY,function(r,n,t){return w2e(HI,0,n,y2e(LI,CI,r,n,t))}];case 25:if(f)break r;var VI=a[1],SI=luu(r)(Mdt,Udt),zI=Tuu(0),JI=function(r,n,t){return y2e(zI,SI,r,n,t)},WI=osu(r,VI,hvu(r));return[0,0,function(r,n,t){return y2e(WI,JI,r,n,t)}];case 26:if(!f)break r;if(f[2])break r;var ZI=a[1],XI=f[1],YI=function(r,n,t){return w2e(Pdt,0,n,t)},rD=Uuu(0,bH(Ovu[18].call(null,r,[0,ZI,0])[1])),nD=function(r,n,t){return w2e(2,0,n,y2e(rD,YI,r,n,t))},tD=Ovu[20].call(null,r,ZI),uD=function(r,n,t){return y2e(tD,nD,r,n,t)},aD=Csu(r,n,XI);return[0,Kdt,function(r,n,t){return y2e(aD,uD,r,n,t)}];default:break r}if(f&&!f[2])return i(0,luu(r)(Rdt,Odt))}return[0,3,Zuu(r,Qdt,DXe(a))]}}function Osu(r,n,t){return Qsu(r,n,0,t)}function Rsu(r,n,t,e){var u=Qsu(r,n,[0,t],e),a=u[2],f=rAu(r,u[1],t);return function(r,n,t){return y2e(a,f,r,n,t)}}function Qsu(r,n,t,e){if(e[3][3]){var u=Xsu(r,n,e),a=u[1];uS(u[2],r,n);var f=[0,[3,a],x2e]}else{var i=e[2];r:{switch(i[0]){case 0:var c=i[1],o=c[2],v=c[1];if(Q0(function(r){return Jwe(r[3][1])},o))var A=function(r,n,t){return w2e(0,0,n,t)},s=g2e(function(t){var e=Osu(r,n,t),u=e[2],a=Zvu(0,e[1]);return function(r,n,t){return y2e(u,a,r,n,t)}},o),b=[0,3,function(r,n,t){return y2e(s,A,r,n,t)}];else b=Ksu(r,n,v,c[2],e[1]);var l=b;break r;case 1:l=jAu(r,n,i[2]);break r;case 2:l=psu(i[1]);break r;case 3:var B=i[1],j=B[2],k=ule[1],p=i[2];switch(j[0]){case 0:var d=lAu(r,n,j[1]);break;case 1:var m=j[1],_=j[2];n:{t:{if(3===k){if(bAu(Uou(0,m[3][1]))){var h=Yuu(r,Gbt),x=h[2],y=h[1],w=luu(r)(Mbt,Ubt),g=Uuu(0,f3e[2]),q=function(r,n,t){return y2e(g,w,r,n,t)},I=function(r,n,t){return y2e(x,q,r,n,t)},D=f3e[6],E=function(r,n,t){return y2e(y,x,r,n,t)},$=Psu(r,n,m,_),T=[0,function(r,n,t){return y2e($,E,r,n,t)},0,function(r,n,t){return y2e(D,I,r,n,t)}];break t}}else if(4<=k&&bAu(Uou(0,m[3][1]))){var N=Tfu(r),F=Uuu(0,f3e[2]),G=Psu(r,n,m,_);T=[0,function(r,n,t){return y2e(G,F,r,n,t)},0,N];break t}var U=f3e[6],M=[0,Psu(r,n,m,j[2]),0,U];break n}M=T}d=M;break;default:var P=j[1],K=j[2];n:{t:{if(3===k){if(bAu(zcu(0,P[3][1],K))){var O=Yuu(r,Pbt),R=O[2],Q=O[1],C=luu(r)(Obt,Kbt),L=Uuu(0,f3e[2]),H=function(r,n,t){return y2e(L,C,r,n,t)},V=function(r,n,t){return y2e(R,H,r,n,t)},S=f3e[6],z=function(r,n,t){return y2e(Q,R,r,n,t)},J=Jcu(r,P[3][1],K),W=function(r,n,t){return y2e(J,z,r,n,t)},Z=Csu(r,n,P),X=[0,function(r,n,t){return y2e(Z,W,r,n,t)},0,function(r,n,t){return y2e(S,V,r,n,t)}];break t}}else if(4<=k&&bAu(zcu(0,P[3][1],K))){var Y=Tfu(r),rr=Uuu(0,f3e[2]),nr=Jcu(r,P[3][1],K),tr=function(r,n,t){return y2e(nr,rr,r,n,t)},er=Csu(r,n,P);X=[0,function(r,n,t){return y2e(er,tr,r,n,t)},0,Y];break t}var ur=f3e[6],ar=Jcu(r,P[3][1],j[2]),fr=Csu(r,n,P),ir=[0,function(r,n,t){return y2e(fr,ar,r,n,t)},0,ur];break n}ir=X}d=ir}var cr=d[3],or=B[1],vr=d[1],Ar=B[1],sr=function(r,n,t){return D2e(or,cr,r,0,t)},br=Rsu(r,n,d[2],p);l=[0,uY,function(r,n,t){return function(r,n,t){return D2e(Ar,vr,r,0,t)}(r,0,function(r,n,t){return y2e(br,sr,r,n,t)}(r,n,t))}];break r;case 4:var lr=i[1],Br=lr[2],jr=lr[1],kr=Zsu(r,n,jr,VJe(YJe(Br))),pr=kr[2],dr=Qsu(r,kr[1],t,Br);l=[0,dr[1],pr(dr[2])];break r;case 5:var mr=i[3],_r=i[2],hr=Lsu(r,n,i[1]),xr=Qsu(r,n,t,_r),yr=xr[1],wr=xr[2],gr=Qsu(r,n,t,mr),qr=gr[1],Ir=gr[2],Dr=t?t[1]:Wvu(yr,qr),Er=rAu(r,qr,Dr),$r=rAu(r,yr,Dr),Tr=zvu(0,Dr),Nr=fau(r,Tr),Fr=aau(r,Tr),Gr=aau(r,Tr),Ur=kuu(r,eau(Tr),function(r,n,t){return y2e(wr,$r,r,n,aS(Gr,r,n,t))},function(r,n,t){return y2e(Ir,Er,r,n,aS(Fr,r,n,t))}),Mr=function(r,n,t){return y2e(Ur,Nr,r,n,t)};l=[0,Dr,function(r,n,t){return y2e(hr,Mr,r,n,t)}];break r;case 6:var Pr=i[1],Kr=i[2],Or=Pr[3][1];n:{t:if(Kr){var Rr=Kr[1][2][1][2];if("number"!=typeof Rr&&5===Rr[0]){var Qr=Rr[1];if(Kr[2])break t;if("number"!=typeof Or&&4===Or[0]){var Cr=Or[1];if(!Cr)break t;if(Cr[2])break t;var Lr=Qr===Cr[1][1]?1:0;break n}break t}}Lr=0}n:{if(Lr){t:{var Hr=Csu(r,n,Pr);if(Kr){var Vr=Kr[1][2],Sr=Vr[1],zr=Sr[2];if("number"!=typeof zr&&5===zr[0]){var Jr=zr[2],Wr=Vr[2];if(Kr[2])break t;var Zr=zsu(r,n,[0,Sr[1],[5,HX,Jr],Sr[3]]),Xr=Zr[2],Yr=Qsu(r,Zr[1],t,Wr),rn=Yr[1],nn=Yr[2],tn=t?t[1]:rn,en=[0,tn,iau(r,zvu(0,tn),function(n){var t=EAu(Xr)([0,nn]);function e(r,n,t){return w2e(0,0,n,t)}var u=FAu(r,D0(function(t){var e=t[2],u=rAu(r,t[1],tn);return EAu(e)([0,function(r,t,e){return y2e(u,n,r,t,e)}])},[0,[0,rn,EAu([0,Hr])(t)],0]));return function(r,n,t){return y2e(u,e,r,n,t)}})];break n}}}throw LQ([0,pS,Cdt],1)}var un=i[2],an=Csu(r,n,Pr),fn=Yuu(r,Ldt),cn=Pr[3][1];t:{e:{var on=fn[2],vn=fn[1];if(un){var An=un[1],sn=An[2][1][2];if("number"!=typeof sn&&5===sn[0]){var bn=sn[1],ln=un[2],Bn=sn[2];if(!ln)break e;var jn=ln[1],kn=jn[2],pn=kn[1],dn=pn[2];if("number"!=typeof dn&&5===dn[0]){var mn=dn[1],_n=dn[2],hn=kn[2];if(ln[2])break e;if("number"!=typeof cn&&4===cn[0]){var xn=cn[1];if(!xn)break e;var yn=xn[2];if(!yn)break e;if(yn[2])break e;var wn=yn[1][1],gn=xn[1][1];u:if(mXe(Bn)){if(bn!==gn&&bn!==wn)break u;if(mn!==gn&&mn!==wn)break u;var qn=[0,An,[0,[0,jn[1],[0,[0,pn[1],[5,HX,_n],pn[3]],hn],jn[3]],0]];break t}break e}break e}break e}}}qn=un}var In=D0(function(e){var u=e[2],a=u[2],f=zsu(r,n,u[1]),i=f[2],c=Qsu(r,f[1],t,a),o=c[1],v=[0,c[2]],A=EAu(i)(v);return[0,o,EAu([0,on])(A)]},qn),Dn=t?t[1]:G0(Wvu,3,D0(function(r){return r[1]},In)),En=iau(r,zvu(0,Dn),function(n){function t(r,n,t){return w2e(0,0,n,t)}var e=FAu(r,D0(function(t){var e=t[2],u=rAu(r,t[1],Dn);return EAu(e)([0,function(r,t,e){return y2e(u,n,r,t,e)}])},In));return function(r,n,u){return y2e(e,t,r,n,u)}}),$n=function(r,n,t){return y2e(vn,En,r,n,t)};en=[0,Dn,function(r,n,t){return y2e(an,$n,r,n,t)}]}l=en;break r;case 7:var Tn=[3,[0,Wle,0]],Nn=function(r,n,t){return w2e(Tn,0,n,t)},Fn=Rsu(r,[0,1,n[2],n[3]],uY,i[1]),Gn=function(r,n,t){return y2e(Fn,Nn,r,n,t)};l=[0,3,function(r,n,t){return N2e(Gn,r,n,w2e(0,0,n,t))}];break r;case 8:var Un=i[3],Mn=i[1],Pn=G2e(function(t){var e=tAu[4].call(null,Mn,t,n[3]);return Csu(r,[0,n[1],n[2],e],Un)});l=[0,0,puu(r,zvu(0,0),Pn)];break r;case 10:var Kn=i[3],On=iAu(r,n,i[1],i[2]),Rn=On[2],Qn=Osu(r,On[1],Kn),Cn=Qn[2],Ln=[9,[0,Wle,Rn]],Hn=Qn[1],Vn=function(r,n,t){return w2e(Ln,0,n,Cn(r,n,t))},Sn=Ufu(r);l=[0,Hn,function(r,n,t){return y2e(Sn,Vn,r,n,t)}];break r;case 11:var zn=i[3],Jn=lAu(r,n,i[1]),Wn=Jn[3],Zn=Jn[1],Xn=Rsu(r,n,Jn[2],zn),Yn=function(r,n,t){return y2e(Xn,Wn,r,n,t)};l=[0,uY,function(r,n,t){return y2e(Zn,Yn,r,n,t)}];break r;case 12:var rt=i[3],nt=i[7],tt=i[6],et=i[5],ut=i[2],at=i[1],ft=aWe(e);switch(rt){case 0:var it=tt;break;case 1:throw LQ([0,mS,Hdt],1);default:it=0}var ct=d0(it);l=yAu(r,n,at,ut,rt,ft,et,function(r,n){return Rsu(r,n,Vvu(ct),nt)},it,e[1]);break r;case 13:var ot=i[2],vt=i[5],At=i[4],st=i[3],bt=i[1],lt=Yuu(r,Vdt),Bt=lt[2],jt=lt[1],kt=Yuu(r,Sdt),pt=kt[2],dt=kt[1],mt=Yuu(r,zdt),_t=mt[2],ht=mt[1],xt=Yuu(r,Jdt),yt=xt[2],wt=xt[1],gt=aWe(ot),qt=kAu(0,n,ZX),It=Avu(r,sz),Dt=cvu(r),Et=IAu(r,Hgt,function(r,n,t){return y2e(Dt,It,r,n,t)},gAu(r,bt)([0,pt,[0,_t,[0,yt,[0,Bt,0]]]]),function(n){var t=Ovu[27].call(null,r,[0,tz,0]),e=oiu(r,5);function u(r,n,u){return y2e(e,t,r,n,u)}return function(r,t,e){return y2e(n,u,r,t,e)}},qt),$t=function(r,n,t){return y2e(wt,Et,r,n,t)},Tt=Csu(r,n,vt),Nt=function(r,n,t){return y2e(Tt,$t,r,n,t)},Ft=function(r,n,t){return y2e(ht,Nt,r,n,t)},Gt=Csu(r,n,At),Ut=function(r,n,t){return y2e(Gt,Ft,r,n,t)},Mt=function(r,n,t){return y2e(dt,Ut,r,n,t)},Pt=Csu(r,n,st),Kt=function(r,n,t){return y2e(Pt,Mt,r,n,t)},Ot=yfu(),Rt=yAu(r,n,Aqt,0,0,gt,0,function(r,n){return Rsu(r,n,uY,ot)},0,e[1]),Qt=Rt[2],Ct=rAu(r,Rt[1],0),Lt=function(r,n,t){return y2e(jt,Kt,r,n,t)};l=[0,uY,function(r,n,t){return y2e(Qt,Ct,r,n,y2e(Ot,Lt,r,n,t))}];break r;case 14:l=L2e(Wdt);break r;case 15:if(1>>0){l=[0,0,Vcu(r,D0(function(t){return[0,t[2][1],function(e){if(!age(t[3])){var u=jAu(r,n,t[2][2]),a=u[2],f=rAu(r,u[1],0);return function(r,n,t){return y2e(a,f,r,n,t)}}var i=fAu(n,t[2][2]);if(i){var c=i[1];switch(c[0]){case 1:var o=[8,[0,Wle,c[1]]];return function(r,n,t){return w2e(o,0,n,t)};case 2:return Tuu(c[1])}}throw LQ([0,mS,wqt],1)}]},i[2]))];break r}}l=[0,uY,Zuu(r,Zdt,yXe(e))]}f=l}var Ht=f[2],Vt=e[1];return[0,f[1],function(r,n,t){return D2e(Vt,Ht,r,0,t)}]}function Csu(r,n,t){return Rsu(r,n,0,t)}function Lsu(r,n,t){var e=Osu(r,n,t),u=e[1],a=e[2],f=0!==u?rAu(r,u,0):x2e;return function(r,n,t){return y2e(a,f,r,n,t)}}function Hsu(r,n,t,e){var u=luu(r)(Xdt,e);function a(r,n,t){return y2e(u,giu,r,n,t)}var f=wiu();function i(r,n,t){return y2e(f,a,r,n,t)}var c=Rsu(r,n,Ydt,t);return[0,rmt,function(r,n,t){return y2e(c,i,r,n,t)}]}function Vsu(r,n,t,e){var u=luu(r)(nmt,e),a=wiu();function f(r,n,t){return y2e(a,u,r,n,t)}var i=Rsu(r,n,tmt,t);return[0,0,function(r,n,t){return y2e(i,f,r,n,t)}]}function Ssu(r,n,t){var e=t[2];if(_Xe(t))var u=[0,function(r,n,t){return w2e(2,0,n,t)}];else{if("number"==typeof e)throw LQ([0,mS,dmt],1);switch(e[0]){case 0:u=[0,BAu(r,n,e[1])];break;case 1:var a=e[1];u=[1,function(n){function t(r,t,e){return E2e(rX,x2e,n,r,t,e)}if("number"==typeof a)var e=function(r,n,t){return w2e(emt,0,n,t)},u=dsu(r,0,a),f=function(r,n,t){return y2e(u,e,r,n,t)};else switch(a[0]){case 0:f=a[1]?x2e:function(r,n,t){return w2e(umt,0,n,t)};break;case 2:var i=Gsu(r)(amt),c=dsu(r,0,a);f=function(r,n,t){return y2e(c,i,r,n,t)};break;case 3:var o=Gsu(r)(fmt),v=dsu(r,0,a);f=function(r,n,t){return y2e(v,o,r,n,t)};break;case 4:var A=Gsu(r)(tz),s=dsu(r,imt,a),b=function(r,n,t){return y2e(s,A,r,n,t)},l=viu(r,5);f=function(r,n,t){return y2e(l,b,r,n,t)};break;case 5:var B=Gsu(r)(cmt),j=dsu(r,omt,a),k=function(r,n,t){return y2e(j,B,r,n,t)},p=tiu(r,6);f=function(r,n,t){return y2e(p,k,r,n,t)};break;case 7:var d=Gsu(r)(vmt),m=dsu(r,0,a);f=function(r,n,t){return y2e(m,d,r,n,t)};break;case 8:var _=Gsu(r)(Amt),h=dsu(r,0,a);f=function(r,n,t){return y2e(h,_,r,n,t)};break;case 9:var x=Gsu(r)(smt),y=dsu(r,bmt,a),w=function(r,n,t){return y2e(y,x,r,n,t)},g=viu(r,10);f=function(r,n,t){return y2e(g,w,r,n,t)};break;case 10:var q=Gsu(r)(lmt),I=dsu(r,Bmt,a),D=function(r,n,t){return y2e(I,q,r,n,t)},E=tiu(r,11);f=function(r,n,t){return y2e(E,D,r,n,t)};break;case 13:var $=Gsu(r)(jmt),T=dsu(r,0,a);f=function(r,n,t){return y2e(T,$,r,n,t)};break;case 14:var N=Eou(r,0),F=dsu(r,0,a);f=function(r,n,t){return y2e(F,N,r,n,t)};break;case 15:var G=oou(r,kmt),U=dsu(r,0,a);f=function(r,n,t){return y2e(U,G,r,n,t)};break;case 1:case 6:var M=Dcu(r),P=dsu(r,0,a);f=function(r,n,t){return y2e(P,M,r,n,t)};break;default:f=Zuu(r,pmt,TXe(a))}return function(r,n,e){return y2e(f,t,r,n,e)}}];break;case 2:var f=e[1],i=Yuu(r,mmt),c=i[2],o=function(t,e){if(!e)return[0,x2e];var u=e[2],a=Ssu(r,n,e[1]),f=o(t+1|0,u),i=EAu(a)(f),v=Hou(0,t);return EAu([0,function(r,n,t){return y2e(c,v,r,n,t)}])(i)},v=i[1],A=o(0,f);u=EAu([0,v])(A);break;case 3:var s=e[1],b=t[3],l=Yuu(r,_mt),B=l[2],j=function(t){if(!t)return[0,x2e];var e=t[1][2],u=e[1],a=t[2],f=Ssu(r,n,e[2]),i=j(a),c=EAu(f)(i),o=Zcu(r,b,u);return EAu([0,function(r,n,t){return y2e(B,o,r,n,t)}])(c)},k=l[1],p=j(s);u=EAu([0,k])(p);break;case 4:var d=e[1];if(_Xe(d))var m=[1,function(n){function t(r,t,e){return E2e(rX,x2e,n,r,t,e)}var e=Cfu(r);return function(r,n,u){return y2e(e,t,r,n,u)}}];else{var _=Yuu(r,hmt),h=_[2],x=_[1];m=[1,function(t){var e=$Au(t,Ssu(r,n,d)),u=Sfu(r,d[3]);function a(r,n,t){return y2e(u,e,r,n,t)}function f(r,n,t){return y2e(h,a,r,n,t)}function i(r,n,e){return E2e(rX,f,t,r,n,e)}var c=Cfu(r);function o(r,n,t){return y2e(c,i,r,n,t)}function v(r,n,t){return y2e(h,o,r,n,t)}return function(r,n,t){return y2e(x,v,r,n,t)}}]}u=m;break;case 5:var y=e[1];if(y!==rA){if(_Xe(e[2]))var w=[1,function(n){function t(r,t,e){return E2e(rX,x2e,n,r,t,e)}var e=Zfu(r,y);return function(r,n,u){return y2e(e,t,r,n,u)}}];else{var g=e[2],q=Yuu(r,xmt),I=q[2],D=q[1];w=[1,function(t){var e=$Au(t,Ssu(r,n,g)),u=Wfu();function a(r,n,t){return y2e(u,e,r,n,t)}function f(r,n,t){return y2e(I,a,r,n,t)}function i(r,n,e){return E2e(rX,f,t,r,n,e)}var c=Zfu(r,y);function o(r,n,t){return y2e(c,i,r,n,t)}function v(r,n,t){return y2e(I,o,r,n,t)}return function(r,n,t){return y2e(D,v,r,n,t)}}]}var E=w}else{var $=e[2];if(_Xe($))var T=[0,function(r,n,t){return w2e(2,0,n,t)}];else{var N=Ssu(r,n,$);T=EAu([0,Wfu()])(N)}E=T}u=E;break;default:var F=e[2],G=Ssu(r,n,e[1]),U=Ssu(r,n,F),M=Yuu(r,ymt),P=M[2],K=M[1],O=EAu([0,P])(U),R=TAu(EAu([0,P])(G))(O);u=EAu([0,K])(R)}}var Q=t[1];if(0===u[0]){var C=u[1];return[0,function(r,n,t){return D2e(Q,C,r,0,t)}]}var L=u[1];return[1,function(r){var n=eS(L,r);return function(r,t,e){return D2e(Q,n,r,0,e)}}]}function zsu(r,n,t){var e=zJe(t),u=gJe[13].call(null,function(n,t,e){return vAu(r,e,n,0,t)[1]},e,n);return[0,u,Ssu(r,u,t)]}function Jsu(r,n,t,e,u){var a=u[2];switch(a[0]){case 0:var f=a[1],i=f[2];r:{n:if("number"!=typeof i&&0===i[0]){var c=i[1],o=a[2];if(!z2e[3].call(null,c,e))break n;var v=Xsu(r,n,o),A=v[1][2],s=v[2];if("number"!=typeof A&&1===A[0]){var b=A[1],l=o[3][1],B=z2e[28].call(null,c,e),j=n[3],k=tAu[4].call(null,c,[0,[4,b,B],l],n[2]),p=[0,[0,n[1],k,j],x2e,function(n){return uS(s,r,n),x2e}];break r}throw LQ([0,mS,gmt],1)}var d=a[2];if(d[3][3]){if(!d[3][3])throw LQ([0,mS,Mmt],1);if(Ysu(eAu,f,Xsu(r,n,d)[1])?1:0)var m=rbu(r,n,u),_=m[2],h=[0,eS(m[1],n),x2e,function(n){return uS(_,r,n),x2e}];else h=[0,n,x2e,function(n){return duu(r,zX)}]}else{var x=a[2],y=zJe(f),w=gJe[13].call(null,function(n,e,u){var a=u[2],f=jsu(r,u[1],t,n,e),i=f[2];return[0,f[1],function(r,n,t){return y2e(a,i,r,n,t)}]},y,[0,n,x2e]),g=w[1],q=w[2],I=f[1],D=f[2];n:{var E=function(r,n,t){return D2e(I,q,r,0,t)};if("number"==typeof D)var $=x2e,T=0,N=x2e;else{switch(D[0]){case 0:var F=lAu(r,g,D[1]);$=F[3],T=[0,F[2]],N=F[1];break n;case 2:var G=D[1];if(1!==d0(G)){var U=q2e(function(n,t){return NAu(r,Ssu(r,g,t))},y0(G));$=U,T=[0,[0,d0(G)]],N=x2e;break n}}$=NAu(r,Ssu(r,g,f)),T=wmt,N=x2e}}var M=f[1],P=f[1];h=[0,g,E,function(n){var t=Qsu(r,n,T,x),e=t[1],u=t[2],a=T?rAu(r,e,T[1]):Zvu(0,e);function f(r,n,t){return y2e(u,a,r,n,t)}var i=x[1];return function(r,n,t){return D2e(M,N,r,0,D2e(i,f,r,0,D2e(P,$,r,0,t)))}}]}p=h}var K=p;break;case 1:var O=a[1],R=a[3],Q=a[2],C=gJe[29].call(null,O,t);r:{if(C){var L=C[1];n:{if("number"==typeof L){if(0===L)break n}else if(0===L[0])break n;var H=1;break r}}H=0}if(!H)throw LQ([0,mS,qmt],1);var V=jsu(r,n,t,O,[10,Q]);K=[0,V[1],V[2],function(n){var t=lAu(r,n,O),e=t[3],u=t[1],a=Rsu(r,n,t[2],R);function f(r,n,t){return y2e(a,e,r,n,t)}return function(r,n,t){return y2e(u,f,r,n,t)}}];break;default:var S=a[1],z=a[3][2],J=a[2];if(2!==z[0])throw LQ([0,mS,Imt],1);var W=z[2],Z=z[1],X=gJe[28].call(null,S,t);if("number"==typeof X&&1===X){K=[0,iAu(r,n,S,J)[1],x2e,function(n){var t=fAu(n,S);if(t){var e=t[1];if(1===e[0]){var u=[9,[0,Wle,e[1]]],a=function(r,n,t){return w2e(u,0,n,t)},f=Wcu(r,W),i=function(r,n,t){return y2e(f,a,r,n,t)},c=Csu(r,n,Z);return function(r,n,t){return y2e(c,i,r,n,t)}}}throw LQ([0,mS,yqt],1)}];break}throw LQ([0,mS,ggt],1)}var Y=K[3],rr=K[2],nr=u[1];return[0,K[1],function(r,n,t){return D2e(nr,rr,r,0,t)},function(r,n){var t=Y(r),e=u[1];return function(r,u,a){return D2e(e,t,r,0,aS(n,r,u,a))}}]}function Wsu(r,n,t,e,u){for(var a=n[1],f=gJe[34].call(null,function(r){var n=r[1];switch(n[0]){case 0:return[1,n[1]];case 1:return 1;case 2:return 2;case 3:return 0;default:return Igt}},n[2]),i=PJe(uWe,t)[2],c=KJe(f,i),o=gJe[34].call(null,function(r){return 0},i),v=RJe(i),A=o,s=qJe[8].call(null,v,u);;){var b=G0(function(r,n){var t=r[2],e=r[1],u=uS(vsu,c,t),f=uWe(n),i=f[2],o=VJe(f[1]),v=RJe(t),A=qJe[8].call(null,v,o),s=n[2];switch(s[0]){case 0:var b=s[2][3][3]?gJe[34].call(null,function(r){return 0},i):gJe[34].call(null,function(r){return[0,Bsu(r)]},i),l=b;break;case 1:l=gJe[34].call(null,function(r){return[1,Bsu(r)]},i);break;default:l=gJe[34].call(null,function(r){return 1},i)}var B=G0(KAu,Asu,[0,t,[0,l,[0,lsu(a,u,e,A),0]]]),j=RJe(i);return[0,qJe[7].call(null,e,j),B]},[0,qJe[1],A],t),l=b[2],B=b[1],j=RJe(i);if(!qJe[12].call(null,B,j))throw LQ([0,mS,qgt],1);var k=uS(KAu,l,lsu(a,l,B,s));if(gJe[11].call(null,QL,A,k))break;A=k}var p=function n(t,u){if(!u)return[0,t,x2e,function(r){return sAu}];var a=u[1];if(!u[2])return Jsu(r,t,k,e,a);var f=u[2],i=Jsu(r,t,k,e,a),c=i[3],o=i[2],v=n(i[1],f),A=v[3],s=v[2];return[0,v[1],function(r,n,t){return y2e(o,s,r,n,t)},function(r){function n(n){return c(r,n)}var t=eS(A,r);return function(r){return eS(n,eS(t,r))}}]}(n,t),d=p[1],m=p[3],_=p[2];return[0,d,function(r){var n=uS(m,d,r);return function(r,t,e){return y2e(_,n,r,t,e)}}]}function Zsu(r,n,t,e){return Wsu(r,n,t,z2e[1],e)}function Xsu(r,n,t){var e=t[2];r:switch(e[0]){case 0:var u=e[1],a=u[1];if("number"==typeof a)switch(a){case 0:var f=u[2];if(!f)return[0,Leu(0),function(r,n){return 0}];var i=t1(D0(function(t){return Xsu(r,n,t)},f)),c=i[2];return[0,Leu([4,i[1]]),function(r,n){return N0(function(t){return uS(t,r,n)},c)}];case 1:var o=u[2];if(!o)break r;if(o[2])break r;var v=Xsu(r,n,o[1]),A=v[2];return[0,Leu([6,v[1]]),A]}else switch(a[0]){case 4:var s=u[2];if(!s)break r;if(s[2])break r;var b=a[1],l=Xsu(r,n,s[1]),B=l[1][2],j=l[2];if("number"==typeof B||4!==B[0])k=L2e(Tmt);else var k=B[1];return[0,h0(k,b),j];case 5:var p=u[2];if(!p)break r;if(p[2])break r;var d=a[1],m=Xsu(r,n,p[1]),_=m[2];return[0,Leu([5,[0,d,m[1]]]),_];case 6:var h=u[2];if(!h)break r;if(h[2])break r;var x=a[1],y=Xsu(r,n,h[1]),w=y[1][2],g=y[2];if("number"==typeof w||2!==w[0])q=L2e(Nmt);else var q=w[1];return[0,H0(x,q),g];case 8:if(a[1])break r;var I=t1(D0(function(t){return Xsu(r,n,t)},u[2])),D=I[2];return[0,Leu([3,I[1]]),function(r,n){return N0(function(t){return uS(t,r,n)},D)}]}break;case 1:var E=e[2],$=fAu(n,E);n:{if($){var T=$[1];if(3===T[0]){var N=T[1];break n}}N=eS(L2e(Fmt),E)}return[0,N,function(r,n){return 0}];case 2:return[0,Leu([7,ksu(e[1])]),function(r,n){return 0}];case 4:var F=e[1],G=function(n,t){if(!t)return[0,function(r){return r},function(r,n){}];var e=t[1];if(!t[2])return rbu(r,n,e);var u=t[2],a=rbu(r,n,e),f=a[1],i=a[2],c=G(eS(f,n),u),o=c[2],v=c[1];return[0,function(r){return eS(v,eS(f,r))},function(r,n){return uS(i,r,n),uS(o,r,n)}]},U=F[2],M=G(n,F[1]),P=M[1],K=M[2],O=Xsu(r,eS(P,n),U),R=O[2];return[0,O[1],function(r,n){var t=eS(P,n);return uS(K,r,t),uS(R,r,t)}];case 12:var Q=e[7],C=e[5],L=e[3],H=e[2],V=e[1],S=Q[2];n:{var z=e[6],J=e[4];if(!H&&!L&&!J&&0===S[0]){var W=S[1],Z=W[2],X=W[1];t:{if("number"==typeof X)switch(X){case 4:var Y=0;break t;case 6:Y=L2e($mt);break t}else if(9===X[0]){Y=0;break t}Y=1}if(Y){var rr=d0(Z);if(d0(C)===rr&&C0(function(r,n){return QL(n[2],[1,0,r[2]])},C,Z)){var nr=[0,X];break n}}}nr=0}switch(L){case 0:var tr=z;break;case 1:throw 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All names here are prefixed with `@`, so they are invisible from user\ncode, and cannot be shadowed.\n*/\n\ntype @Iter = { next : () -> ?T_ };\n\nvar @cycles : Nat = 0;\nvar @timeout : ?Nat32 = null;\n\n// Function called by backend to add funds to call.\n// DO NOT RENAME without modifying compilation.\nfunc @add_cycles() {\n let cycles = @cycles;\n @reset_cycles();\n if (cycles != 0) {\n (prim "cyclesAdd" : Nat -> ()) cycles;\n };\n switch @timeout {\n case (?timeout) {\n @timeout := null;\n (prim "timeoutSet" : Nat32 -> ()) timeout;\n };\n case null ();\n };\n};\n\n// Function called by backend to zero cycles on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_cycles() {\n @cycles := 0;\n};\n\n// The @ in the name ensures that this cannot be shadowed by user code, so\n// compiler passes can rely on them being in scope\n\n// Implementations for overloaded dot operations\n// Note that these return functions!\n// (Some optimizations in the backend might be feasible.)\n\nfunc @immut_array_get(xs : [A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @mut_array_get(xs : [var A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @immut_array_size(xs : [A]) : () -> Nat = func() : Nat = (prim "array_len" : [A] -> Nat) xs;\nfunc @mut_array_size(xs : [var A]) : () -> Nat = func() : Nat = (prim "array_len" : [var A] -> Nat) xs;\nfunc @mut_array_put(xs : [var A]) : (Nat, A) -> () = func(n : Nat, x : A) = (xs[n] := x);\nfunc @immut_array_keys(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @mut_array_keys(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @immut_array_vals(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @mut_array_vals(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @blob_size(b : Blob) : () -> Nat = func() : Nat = (prim "blob_size" : Blob -> Nat) b;\nfunc @blob_keys(b : Blob) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = (prim "blob_size" : Blob -> Nat) b;\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @blob_get(b : Blob) : Nat -> Nat8 = func(n : Nat) : Nat8 = b[n];\nfunc @blob_vals(xs : Blob) : () -> @Iter = func() : @Iter = object {\n type BlobIter = Any; // not exposed\n let i = (prim "blob_vals_iter" : Blob -> BlobIter) xs;\n public func next() : ?Nat8 {\n if ((prim "blob_iter_done" : BlobIter -> Bool) i) null else ?((prim "blob_iter_next" : BlobIter -> Nat8) i);\n };\n};\nfunc @text_size(xs : Text) : () -> Nat = func() : Nat = (prim "text_len" : Text -> Nat) xs;\nfunc @text_chars(xs : Text) : () -> @Iter = func() : @Iter = object {\n type TextIter = Any; // not exposed\n let i = (prim "text_iter" : Text -> TextIter) xs;\n public func next() : ?Char {\n if ((prim "text_iter_done" : TextIter -> Bool) i) null else ?((prim "text_iter_next" : TextIter -> Char) i);\n };\n};\n\n// Internal helper functions for the show translation\n\n// The text_of functions do not need to be exposed; the user can just use\n// the show above.\n\nfunc @text_of_num(x : Nat, base : Nat, sep : Nat, digits : Nat -> Text) : Text {\n var text = "";\n var n = x;\n\n if (n == 0) return "0";\n\n var i = 0;\n while (n > 0) {\n let rem = n % base;\n if (sep > 0 and i == sep) { text := "_" # text; i := 0 };\n text := digits rem # text;\n n := n / base;\n i += 1;\n };\n text;\n};\n\nfunc @left_pad(pad : Nat, char : Text, t : Text) : Text {\n if (pad > t.size()) {\n var i : Nat = pad - t.size();\n var text = t;\n while (i > 0) {\n text := char # text;\n i -= 1;\n };\n text;\n } else {\n t;\n };\n};\n\nfunc @digits_dec(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + 0x30)));\n\nfunc @text_of_Nat(x : Nat) : Text {\n @text_of_num(x, 10, 3, @digits_dec);\n};\n\nfunc @text_of_Int(x : Int) : Text {\n if (x == 0) "0" else (if (x < 0) "-" else "+") #\n @text_of_Nat((prim "abs" : Int -> Nat) x);\n};\n\nfunc @digits_hex(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + (if (x < 10) 0x30 else 55))));\n\n// There is some duplication with the prim_module, but we need these here\n// before we can load the prim module\nfunc @int64ToInt(n : Int64) : Int = (prim "num_conv_Int64_Int" : Int64 -> Int) n;\nfunc @int32ToInt(n : Int32) : Int = (prim "num_conv_Int32_Int" : Int32 -> Int) n;\nfunc @int16ToInt(n : Int16) : Int = (prim "num_conv_Int16_Int" : Int16 -> Int) n;\nfunc @int8ToInt(n : Int8) : Int = (prim "num_conv_Int8_Int" : Int8 -> Int) n;\nfunc @nat64ToNat(n : Nat64) : Nat = (prim "num_conv_Nat64_Nat" : Nat64 -> Nat) n;\nfunc @nat32ToNat(n : Nat32) : Nat = (prim "num_conv_Nat32_Nat" : Nat32 -> Nat) n;\nfunc @nat16ToNat(n : Nat16) : Nat = (prim "num_conv_Nat16_Nat" : Nat16 -> Nat) n;\nfunc @nat8ToNat(n : Nat8) : Nat = (prim "num_conv_Nat8_Nat" : Nat8 -> Nat) n;\n\nfunc @text_of_Nat8(x : Nat8) : Text = @text_of_Nat(@nat8ToNat x);\nfunc @text_of_Nat16(x : Nat16) : Text = @text_of_Nat(@nat16ToNat x);\nfunc @text_of_Nat32(x : Nat32) : Text = @text_of_Nat(@nat32ToNat x);\nfunc @text_of_Nat64(x : Nat64) : Text = @text_of_Nat(@nat64ToNat x);\nfunc @text_of_Int8(x : Int8) : Text = @text_of_Int(@int8ToInt x);\nfunc @text_of_Int16(x : Int16) : Text = @text_of_Int(@int16ToInt x);\nfunc @text_of_Int32(x : Int32) : Text = @text_of_Int(@int32ToInt x);\nfunc @text_of_Int64(x : Int64) : Text = @text_of_Int(@int64ToInt x);\nfunc @text_of_Float(x : Float) : Text = (prim "Float->Text" : Float -> Text) x;\nfunc @text_of_Float32(x : Float32) : Text = (prim "Float32->Text" : Float32 -> Text) x;\n\nfunc @text_of_Bool(b : Bool) : Text {\n if (b) "true" else "false";\n};\n\nfunc @text_of_Text(t : Text) : Text {\n // TODO: Escape properly\n "\\"" # t # "\\"";\n};\n\nfunc @text_of_Char(c : Char) : Text {\n // TODO: Escape properly\n "\\\'" # (prim "conv_Char_Text" : Char -> Text) c # "\\\'";\n};\n\nfunc @text_of_Blob(blob : Blob) : Text {\n var t = "\\"";\n for (b in blob.values()) {\n // Could do more clever escaping, e.g. leave ascii and utf8 in place\n t #= "\\\\" # @left_pad(2, "0", @text_of_num(@nat8ToNat b, 16, 0, @digits_hex));\n };\n t #= "\\"";\n return t;\n};\n\nfunc @text_has_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?\'(\') true;\n case _ false;\n };\n};\n\nfunc @text_needs_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?(\'+\' or \'-\' or \'?\' or \'#\')) true;\n case _ false;\n };\n};\n\nfunc @text_of_option(f : T -> Text, x : ?T) : Text {\n switch (x) {\n case (?y) {\n let fy = f y;\n if (@text_needs_parens(fy)) "?(" # fy # ")" else "?" # fy;\n };\n case null { "null" };\n };\n};\n\nfunc @text_of_variant(l : Text, f : T -> Text, x : T) : Text {\n let fx = f x;\n if (fx == "()") "#" # l else if (@text_has_parens(fx)) "#" # l # fx else "#" # l # "(" # fx # ")";\n};\n\nfunc @text_of_array(f : T -> Text, xs : [T]) : Text {\n var text = "[";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @text_of_array_mut(f : T -> Text, xs : [var T]) : Text {\n var text = "[var";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n text #= " ";\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @equal_array(eq : (T, T) -> Bool, a : [T], b : [T]) : Bool {\n if (a.size() != b.size()) {\n return false;\n };\n var i = 0;\n let s = a.size();\n while (i < s) {\n if (not eq(a[i], b[i])) {\n return false;\n };\n i += 1;\n };\n return true;\n};\n\ntype @CleanCont = () -> ();\ntype @BailCont = @CleanCont;\ntype @Cont = T -> ();\ntype @Async = (@Cont, @Cont, @BailCont) -> {\n #suspend;\n #schedule : () -> ();\n};\n\ntype @Refund = Nat;\ntype @Result = { #ok : (refund : @Refund, value : T); #error : Error };\n\ntype @Waiter = (@Refund, T) -> ();\n\nvar @refund : @Refund = 0;\n\n// Function called by backend to zero refunds on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_refund() {\n @refund := 0;\n};\n\nfunc @getSystemRefund() : @Refund {\n return (prim "cyclesRefunded" : () -> Nat)();\n};\n\n// trivial cleanup action\nfunc @cleanup() {};\n\nfunc @new_async() : (@Async, @Cont, @Cont, @CleanCont) {\n let w_null = func(r : @Refund, t : T) {};\n let r_null = func(_ : Error) {};\n var result : ?(@Result) = null;\n var ws : @Waiter = w_null;\n var rs : @Cont = r_null;\n let getRefund = @cycles != 0;\n\n func fulfill(t : T) {\n switch result {\n case null {\n let refund = if getRefund @getSystemRefund() else 0;\n result := ?(#ok(refund, t));\n let ws_ = ws;\n ws := w_null;\n rs := r_null;\n ws_(refund, t);\n };\n case (?_) { assert false };\n };\n };\n\n func fail(e : Error) {\n switch result {\n case null {\n result := ?(#error e);\n let rs_ = rs;\n ws := w_null;\n rs := r_null;\n rs_(e);\n };\n case (?_) { assert false };\n };\n };\n\n var cleanup : @BailCont = @cleanup;\n\n func enqueue(k : @Cont, r : @Cont, b : @BailCont) : {\n #suspend;\n #schedule : () -> ();\n } {\n cleanup := b;\n switch result {\n case null {\n let ws_ = ws;\n ws := func(r : @Refund, t : T) {\n ws_(r, t);\n @reset_cycles();\n @refund := r;\n k(t);\n };\n let rs_ = rs;\n rs := func(e : Error) {\n rs_(e);\n @reset_cycles();\n @reset_refund();\n r(e);\n };\n #suspend;\n };\n case (?#ok(r, t)) {\n #schedule(func() { @refund := r; k(t) });\n };\n case (?#error e) {\n #schedule(func _ = r(e));\n };\n };\n };\n\n (enqueue, fulfill, fail, func() = cleanup());\n};\n\n// Subset of IC management canister interface required for our use\nmodule @ManagementCanister = {\n public type wasm_module = Blob;\n public type canister_settings = {\n controllers : ?[Principal];\n compute_allocation : ?Nat;\n memory_allocation : ?Nat;\n freezing_threshold : ?Nat;\n };\n};\n\ntype @WasmMemoryPersistence = {\n #keep;\n #replace;\n};\n\ntype @UpgradeOptions = {\n wasm_memory_persistence : ?@WasmMemoryPersistence;\n};\n\nlet @ic00 = actor "aaaaa-aa" : actor {\n create_canister : {\n settings : ?@ManagementCanister.canister_settings;\n sender_canister_version : ?Nat64;\n } -> async { canister_id : Principal };\n install_code : {\n mode : {\n #install;\n #reinstall;\n #upgrade : ?@UpgradeOptions;\n };\n canister_id : Principal;\n wasm_module : @ManagementCanister.wasm_module;\n arg : Blob;\n sender_canister_version : ?Nat64;\n } -> async ();\n};\n\nfunc @install_actor_helper(\n install_arg : {\n #new : { settings : ?@ManagementCanister.canister_settings };\n #install : Principal;\n #reinstall : actor {};\n #upgrade : actor {};\n #upgrade_with_persistence : {\n wasm_memory_persistence : @WasmMemoryPersistence;\n canister : actor {};\n };\n },\n enhanced_orthogonal_persistence : Bool,\n wasm_module : Blob,\n arg : Blob,\n) : async* Principal = async* {\n let (mode, canister_id) = switch install_arg {\n case (#new settings) {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat) available;\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings with sender_canister_version;\n };\n (#install, canister_id);\n };\n case (#install principal1) { (#install, principal1) };\n case (#reinstall actor1) {\n (#reinstall, (prim "principalOfActor" : (actor {}) -> Principal) actor1);\n };\n case (#upgrade actor2) {\n let wasm_memory_persistence = if enhanced_orthogonal_persistence {\n ?(#keep);\n } else {\n null;\n };\n let upgradeOptions = {\n wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) actor2);\n };\n case (#upgrade_with_persistence { wasm_memory_persistence; canister }) {\n let upgradeOptions = {\n wasm_memory_persistence = ?wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) canister);\n };\n };\n await @ic00.install_code {\n mode;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// It would be desirable if create_actor_helper can be defined\n// without paying the extra self-remote-call-cost\n// TODO: This helper is now only used by Prim.createActor and could be removed, except\n// that Prim.createActor was mentioned on the forum and might be in use. (#3420)\nfunc @create_actor_helper(wasm_module : Blob, arg : Blob) : async Principal = async {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat)(available);\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings = null;\n sender_canister_version;\n };\n await @ic00.install_code {\n mode = #install;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// raw calls\nfunc @call_raw(p : Principal, m : Text, a : Blob) : async Blob {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n if (available != 0) {\n @cycles := (prim "cyclesAccept" : Nat -> Nat) available;\n };\n await (prim "call_raw" : (Principal, Text, Blob) -> async Blob)(p, m, a);\n};\n\n// helpers for reifying ic0.call_perform failures as errors\nfunc @call_succeeded() : Bool {\n (prim "call_perform_status" : () -> Nat32)() == 0;\n};\n\nfunc @call_error() : Error {\n let status = (prim "call_perform_status" : () -> Nat32)();\n let message = (prim "call_perform_message" : () -> Text)();\n let code = #call_error({ err_code = status });\n (prim "cast" : ({ #call_error : { err_code : Nat32 } }, Text) -> Error)(code, message);\n};\n\n// default timer mechanism implementation\n// fundamental node invariant: max_exp pre <= expire <= min_exp post\n// corollary: if expire == 0 then the pre is completely expired\n//\n// Note: Below the `expire` field is an encoding of an aliased mutable field with\n// a single-element mutable array. It eliminates `--experimental-field-aliasing`\n// while compiling this file at the cost of slightly higher syntactic noise\n// as well as increased allocation and runtime cost accessing the data. Oh well.\n//\ntype @Node = {\n expire : [var Nat64];\n id : Nat;\n delay : ?Nat64;\n job : () -> async ();\n pre : ?@Node;\n post : ?@Node;\n};\n\nvar @timers : ?@Node = null;\n\nfunc @prune(n : ?@Node) : ?@Node = switch n {\n case null null;\n case (?n) {\n if (n.expire[0] == 0) {\n @prune(n.post) // by corollary\n } else {\n ?{ n with pre = @prune(n.pre) };\n };\n };\n};\n\nfunc @nextExpiration(n : ?@Node) : Nat64 = switch n {\n case null 0;\n case (?n) {\n let pivot = n.expire[0];\n if (pivot == 0) return @nextExpiration(n.post);\n let exp = @nextExpiration(n.pre);\n if (exp == 0) pivot else exp;\n };\n};\n\n// Function called by backend to run eligible timed actions.\n// DO NOT RENAME without modifying compilation.\nfunc @timer_helper() : async () {\n func Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n };\n\n let now = (prim "time" : () -> Nat64)();\n\n var gathered = 0;\n let thunks = Array_init async ())>(10, null); // we want max 10\n\n func gatherExpired(n : ?@Node) = switch n {\n case null ();\n case (?n) {\n let pivot = n.expire[0];\n if (pivot > 0) gatherExpired(n.pre); // by corollary\n if (pivot <= now and gathered < thunks.size()) {\n if (pivot > 0) {\n // not expunged yet\n thunks[gathered] := ?(n.job);\n switch (n.delay) {\n case (null or ?0) n.expire[0] := 0;\n case (?delay) {\n // re-add the node, skipping past expirations\n let expire = pivot + delay * (1 + (now - pivot) / delay);\n n.expire[0] := 0;\n // N.B. reinsert only works on pruned nodes\n func reinsert(m : ?@Node) : @Node = switch m {\n case null ({\n n with expire = [var expire];\n pre = null;\n post = null;\n });\n case (?m) {\n assert m.expire[0] != 0;\n if (expire < m.expire[0]) ({ m with pre = ?reinsert(m.pre) }) else ({\n m with post = ?reinsert(m.post)\n });\n };\n };\n @timers := ?reinsert(@prune(@timers));\n };\n };\n gathered += 1;\n };\n gatherExpired(n.post);\n };\n };\n };\n\n gatherExpired(@timers);\n\n let exp = @nextExpiration @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n if (exp == 0) @timers := null;\n\n var failed : Nat64 = 0;\n func reinsert(job : () -> async ()) {\n if (failed == 0) {\n @timers := @prune @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 1;\n };\n failed += 1;\n @timers := ?(\n switch @timers {\n case (?{ id = 0; pre; post; job = j; expire; delay })\n // push top node\'s contents into pre\n ({\n expire = [var failed];\n id = 0;\n delay;\n job;\n post;\n pre = ?{ id = 0; expire; pre; post = null; delay; job = j };\n });\n case _ ({\n expire = [var failed];\n id = 0;\n delay = null;\n job;\n pre = null;\n post = @timers;\n });\n }\n );\n };\n\n for (o in thunks.values()) {\n switch o {\n case (?thunk) try ignore thunk() catch _ reinsert thunk;\n case _ return;\n };\n };\n};\n\nvar @lastTimerId = 0;\n\nfunc @setTimer(delayNanos : Nat64, recurring : Bool, job : () -> async ()) : (id : Nat) {\n @lastTimerId += 1;\n let id = @lastTimerId;\n let now = (prim "time" : () -> Nat64)();\n let expire = now + delayNanos;\n let delay = if recurring ?delayNanos else null;\n // only works on pruned nodes\n func insert(n : ?@Node) : @Node = switch n {\n case null ({\n expire = [var expire];\n id;\n delay;\n job;\n pre = null;\n post = null;\n });\n case (?n) {\n assert n.expire[0] != 0;\n if (expire < n.expire[0]) ({ n with pre = ?insert(n.pre) }) else ({\n n with post = ?insert(n.post)\n });\n };\n };\n @timers := ?insert(@prune(@timers));\n\n let exp = @nextExpiration @timers;\n if (exp == 0) @timers := null;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n\n id;\n};\n\nfunc @cancelTimer(id : Nat) {\n func graft(onto : ?@Node, branch : ?@Node) : ?@Node = switch (onto, branch) {\n case (null, null) null;\n case (null, _) branch;\n case (_, null) onto;\n case (?onto, _) { ?{ onto with post = graft(onto.post, branch) } };\n };\n\n func hunt(n : ?@Node) : ?@Node = switch n {\n case null n;\n case (?{ id = node; pre; post }) {\n if (node == id) {\n graft(pre, post);\n } else do ? { { n! with pre = hunt pre; post = hunt post } };\n };\n };\n\n @timers := hunt @timers;\n\n if (@nextExpiration @timers == 0) {\n // no more expirations ahead\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 0;\n @timers := null;\n };\n};\n\nfunc @set_global_timer(time : Nat64) = ignore (prim "global_timer_set" : Nat64 -> Nat64) time;\n\n// Function that deduplicates a blob.\nfunc @dedup(b : Blob) : Blob {\n // WeakRef type.\n type WeakRef = {\n ref : weak Blob;\n };\n // A linked list of WeakRefs.\n type List = {\n var next : ?List;\n value : ?WeakRef;\n originalBlob : Blob;\n index : Nat;\n };\n func Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n };\n func Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n };\n let HASH_ARRAY_SIZE = 16_384;\n // Debug print. Will be removed.\n func debugPrint(x : Text) { (prim "print" : Text -> ()) x };\n // Simple hash function.\n func hashBlob(b : Blob) : Nat32 { (prim "crc32Hash" : Blob -> Nat32) b };\n // Import weakref allocation from rts.\n func allocWeakRef(obj : T) : weak T {\n (prim "alloc_weak_ref" : T -> weak T)(obj);\n };\n // Dereference a weak ref.\n func weakGet(w : weak T) : ?T {\n (prim "weak_get" : weak T -> ?T)(w);\n };\n func getDedupTable() : ?[var List] {\n (prim "get_dedup_table" : () -> ?[var List])();\n };\n func setDedupTable(dedupTable : [var List]) {\n (prim "set_dedup_table" : [var List] -> ())(dedupTable);\n };\n func arrayToBlob(a : [Nat8]) : Blob = (prim "arrayToBlob" : [Nat8] -> Blob) a;\n func getOriginalBlob(b : Blob) : Blob {\n // Creates a copy of the blob without the first 5 magic bytes ("!caf!").\n let copiedArr = Array_tabulate(b.size() - 5, func(i : Nat) : Nat8 = b[i + 5]);\n let originalBlob = arrayToBlob(copiedArr);\n originalBlob;\n };\n func blobCompare(b1 : Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\n\n // Helper functions for the hash array.\n //\n //\n func addToList(list : List, originalBlob : Blob, weakRef : WeakRef) : List {\n let newList = {\n var next = ?list;\n value = ?weakRef;\n originalBlob = originalBlob;\n index = list.index + 1;\n };\n newList;\n };\n\n func getFromList(list : List, originalBlob : Blob) : ?WeakRef {\n var copy = list;\n loop {\n if (blobCompare(copy.originalBlob, originalBlob) == 0) {\n return copy.value;\n } else {\n let next = copy.next;\n switch next {\n case null { return null };\n case (?next) { copy := next };\n };\n };\n };\n };\n\n func getListLen(list : List) : Nat {\n list.index;\n };\n\n func getHashArrayLen(hashArray : [var List]) : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n len += getListLen(hashArray[i]);\n i += 1;\n };\n len;\n };\n\n func addToHashArray(hashArray : [var List], b : Blob) {\n let hashValue = hashBlob(b);\n let index = @nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n let list = hashArray[index];\n let weakRef = { ref = allocWeakRef(b) };\n // Use a copy of the original blob (minus the magic bytes).\n hashArray[index] := addToList(list, getOriginalBlob(b), weakRef);\n };\n\n func getFromHashArray(hashArray : [var List], b : Blob) : ?WeakRef {\n let hashValue = hashBlob(b);\n let index = @nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n let list = hashArray[index];\n // Use the original blob (minus the magic bytes).\n getFromList(list, getOriginalBlob(b));\n };\n //\n // End helper functions.\n\n // Check if the blob has magic bytes.\n // We only deduplicate blobs which have the first 5 bytes (!caf!).\n // Otherwise, we return the original blob so that the system works as usual.\n if (b.size() < 5) {\n return b;\n };\n if (b[0] != 0x21 or b[1] != 0x63 or b[2] != 0x61 or b[3] != 0x66 or b[4] != 0x21) {\n //debugPrint("The blob doesn\'t have magic bytes so we return the original.");\n return b;\n };\n\n // Get the dedup table from the RTS.\n let ptr = getDedupTable();\n let hashArray = switch ptr {\n case (?dedupTable) {\n dedupTable;\n };\n case null {\n // This means that the dedup table was not yet created.\n let arr = Array_tabulateVar(HASH_ARRAY_SIZE, func(i : Nat) : List = { var next = null; value = null; originalBlob = ""; index = 0 });\n // We need to set it via the RTS so that it is persisted.\n setDedupTable(arr);\n arr;\n };\n };\n\n // Get the WeakRef from the hash table.\n let dedupedBlobWeakRef = getFromHashArray(hashArray, b);\n let result = switch dedupedBlobWeakRef {\n case (?weakRef) {\n // It was in the hash so we dereference the WeakRef.\n let derefed = weakGet(weakRef.ref);\n switch derefed {\n case (?derefed) { derefed };\n case null {\n // This will only happen if the blob was deallocated by the GC.\n // We put it back in the hash table so that it can be deduplicated again.\n addToHashArray(hashArray, b);\n b;\n };\n };\n };\n // It wasn\'t in the hash so we put it 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B€x|"Bÿ\0V\r\0\v\v  Bÿ\0ƒB8~|"A\0:\0\b P\r\0@B€€À\0P\r\0 A\0B€€À\0ü\v\0\v  7(\v ) \0| )\0B†| ) |€€\0  ) " \0|7 )!B\0 )\0"7À¹  B|$€€€€\0   B†||B|\vù\n~~ B|! )\0!@ \0  |B†Bxƒ|)\0"Bÿ\0ƒB8~!@@ Bÿ\0V\r\0  |!\b !\t !\n@ \b) \b)}!\v \n!@ !\f@ \0 "\nB†|"\r)\0"B€T\r\0 !\f !@ B€|"B€ƒB€Q\r\0 BˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v B€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \nB|! \f Bÿ\0ƒB8~|"\f) \f)} \vV\r\0\v \t!@ !\f@ \0 "\tB†|")\0"B€T\r\0 !\f !@ B€|"B€ƒB€Q\r\0 BˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v B€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \tB|! \f Bÿ\0ƒB8~|"\f) \f)} \vT\r\0\v@ \n \tV\r\0 \r 7\0  7\0 !\t !\n\v \n \tX\r\0\f\v\v B€|"\fBˆB|Bƒ! \fB€ƒB€Q! \fB€T! !\t !\n@ \n!\v@ !\f@ \0 \v"\nB†|"\b)\0"B€T\r\0 !\f !@ B€|"B€ƒB€Q\r\0 BˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v B€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \f Bÿ\0ƒB8~|! !\f !@ \r\0 ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v )! ) !@ \r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \nB|!\v  } \f |"\f) \f)}V\r\0\v \t!@ !\f@ \0 "\tB†|")\0"B€T\r\0 !\f !@ B€|"\rB€ƒB€Q\r\0 \rBˆB|Bƒ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v \rB€T\r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \f Bÿ\0ƒB8~|"\f)!\r \f) ! !\f !@ \r\0 ! !\f !@ B€|! \f)€8!\f B|"B\0R\r\0\v\v@ \r\0@ \f)€8)€8)€8)€8)€8)€8)€8)€8!\f B€x|"Bÿ\0V\r\0\v\v \tB|!  \r} \f |"\f) \f)}T\r\0\v@ \n \tV\r\0 \b 7\0  7\0 !\t \v!\n\v \n \tX\r\0\v\v@ \t X\r\0 \0  \t “€€\0\v \n! \n T\r\0\v\vÐ)~~~#€€€€\0B }"$€€€€\0@@@@@@@@@ )\0\0" )\0\b"\bQ\r\0@ B|"\t \bV\r\0 (\0\0!\n  \t7\0\0 \nAĒ‘âG\r \t \bZ\r B|!A\0!\nB\0!\t@ B|-\0\0!\v  7\0\0@ \nA?G\r\0 \vAÿqAK\r\t\v \v­Bÿ\0ƒ \nA?q­† \t„!\t@ \vÀAJ\r\0 \nAj!\n  \bR!\v B|! \vE\r\f\v\v \tB€€€€Z\r  \t| \bZ\r  \t7\0 \tB|退€\0"B| \tB†7\0 B\t| 7\0 B|B7\0 \0\r )\0\0 |" )\0\b"\bZ\r  7\0\b\f\v#€€€\0BÀ€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B¨•€€€€€€€\0|BÒ\0º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B••€€€€€€€\0|Bº€€€\0\0\v#€€€\0B‡•€€€€€€€\0|Bº€€€\0\0\v )\0\b!\b\v \t§!\f B|!\r@@@ \tP\r\0 \fA \fAK­!B\0!@@@@@ \r B†| )\0\x007\0 )\0\0!\t )\0\b!A\0!\nB\0!@@@@@@@@@@@@@@@@@ \t"\t Z\r \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ \0E\r\0 BR\r\0B\0!A\0!\n@ \t"\t Z\r \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r BU\r BnV\r B€Q\r BhQ\r\f\v BU\r@@@@@ BnV\r\0 BhQ\r\0 §!\n@ \0\r\0 \nAj\v@ \nAj\0\v \nA€G\r\v#€€€\0Bٔ€€€€€€€\0|Bº€€€\0\0\vB\0!A\0!\n@ \t"\t Z\r\b \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\f\vB\0!A\0!\n@ \t"\t Z\r\b \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\f\v \0  \fـ€€\0\f\v \t Z\rA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\b\f\v\v B€€€€Z\r \tB|!\t@ P\r\0 §!A!@B\0!A\0!\n@ \t"\t Z\r\n \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\v   I"\nj! \n\r\0\v\v \t Z\r\bA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\n\f\v\v B€€€€Z\r \tB|!\t@ P\r\0 §!A!@B\0!A\0!\n@ \t"\t Z\r\f \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\v   I"\nj! \n\r\0\v\v \t Z\r\nA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\f\v\v B€€€€Z\r \tB|!\t §!\n@ \nE\r \t Z\r\f \t-\0\0!\v  \tB|"\t7\0\0 \nAj!\n \t!\t \vAjAÿqAI\r\0\v#€€€\0Bº”€€€€€€€\0|Bº€€€\0\0\v § \fO\r\f\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0Bõ”€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\f\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v@@ \t Z\r\0A\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\v\v B€€€€Z\r\r P\r \tB|!\t §!B\0!A\0!A!@ ! !@@@@ \t Z\r\0A\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\v\v B€€€€Z\r \t |B|" V\r  7\0\0 B\b| \tB|" Š‚€€\0 )\bPE\r §! P\r@      I"\n­£‚€€\0"\vA\0J\r\0 \n\r \v\r\v#€€€\0B™”€€€€€€€\0|B!º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B׀€€€€€€€\0|Bº€€€\0\0\v#€€€\0Bꐀ€€€€€€\0|B"ǀ€€\0\0\v )\0\0!\t )\0\b!B\0!A\0!\n@@ \t"\t Z\r \t-\0\0!\v  \tB|"\t7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† „! \nAj!\n \vÀAL\r\0\v B\0B\0B \n­† \vAÀ\0I \nA?K„"B€€€€\b|B€€€€Z\r@@ BU\r\0 BnV\r BhQ\r \0 B€Qq\r\f\v § \fO\r\v   I"\nj! \n\r\f\v\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v \t Z\rA\0!\nB\0!@ \t-\0\0!\v  \tB|"7\0\0@ \nA?G\r\0 \vAÿqAK\r\f\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n !\t  Q\r\f\v\v B€€€€Z\r\n \t |B|"\t V\r  \t7\0\0\v B|" Q\r\f\v\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B׀€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v  \b7\0\b\f\v  \b7\0\bB\0!@ \r B†|)\0!A\0!\nB\0!\t@@@@@@@@@  \bZ\r -\0\0"Aÿ\0q!\v@ \nA?G\r\0 \vAÿ\0F\r\0 \v\r\f\v \v­ \nA?q­† \t„!\t B|! \nAj!\n ÀAL\r\0\v \tB\0B\0B \n­† AÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r\n \tBiR\r  \bZ\rA\0!\nB\0!\t@ -\0\0!\v@ \nA?G\r\0 \vAÿqAK\r\f\v \v­Bÿ\0ƒ \nA?q­† \t„!\t@ \vÀAJ\r\0 \nAj!\n B|" \bQ\r\f\v\v \tB€€€€Z\r\n B|! \t§!A\0!@  O\r\b  \bZ\r   Ij!A\0!\nB\0!\t@ -\0\0!\v@ \nA?G\r\0 \vAÿqAK\r\r\v \v­Bÿ\0ƒ \nA?q­† \t„!\t@ \vÀAJ\r\0 \nAj!\n B|" \bQ\r\f\v\v \tB€€€€Z\r\v  \t|B|" \bV\rB\0!\tA\0!\n@  \bZ\r -\0\0"Aÿ\0q!\v@ \nA?G\r\0 \vAÿ\0F\r\0 \v\r\r\v \v­ \nA?q­† \t„!\t B|! \nAj!\n ÀAL\r\0\v \tB\0B\0B \n­† AÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r\v \tB\0S\r \t§ \fO\r \r \tB†|)\0!\tB\0!A\0!\n@ \t \bZ\r\b \t-\0\0"Aÿ\0q!\v@ \nA?G\r\0 \vAÿ\0F\r\0 \v\r\r\v \v­ \nA?q­† „! \tB|!\t \nAj!\n ÀAL\r\0\v B\0B\0B \n­† AÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r\v \tBjQ\r\0\v#€€€\0B󓀀€€€€€\0|B&º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B׀€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0Bʓ€€€€€€€\0|B)º€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v B|" R\r\0\v\v  )\0\x007\0@@ )\0\0" )\0\b"\bZ\r\0A\0!\nB\0!@ -\0\0!\v  B|"\t7\0\0@ \nA?G\r\0 \vAÿqAK\r\v \v­Bÿ\0ƒ \nA?q­† „!@ \vÀAJ\r\0 \nAj!\n \t! \t \bQ\r\f\v\v B€€€€Z\r@ P\r\0 B|! §!A!@A\0!\nB\0!\t@ " \bZ\r -\0\0!\v  B|"7\0\0 \vAÿ\0q!@ \nA?G\r\0 Aÿ\0F\r\0 \r\v ­ \nA?q­† \t„!\t \nAj!\n \vÀAL\r\0\v \tB\0B\0B \n­† \vAÀ\0I \nA?K„"\tB€€€€\b|B€€€€Z\r@@ \tBU\r\0 \tBnV\r \tBhQ\r \0 \tB€Qq\r\f\v \t§ \fO\r\v   I"\nj! \n\r\0\v\v  \r7\0 B |$€€€€\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B©€€€€€€€€\0|Bº€€€\0\0\v\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\v#€€€\0B˜‚€€€€€€€\0|Bº€€€\0\0\vå)\f~#€€€€\0B }"\t$€€€€\0@@@ \b\r\0  rAL\r\0 ­!\n ­!\v@@@@@@@@@ ­Bÿƒ§\0\0\v \0)\0\0 \0)\0 \v~ \n|"\vBˆBøÿÿÿÿÿÿÿƒ|"\n \0)\0\bX\r#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v \0)\0\0 \0)\0 \n| \0)\0~ \v|"\vBˆBøÿÿÿÿÿÿÿƒ|"\n \0)\0\bV\r \n)\0"\fB \vB†B>ƒ†"\vƒPE\r\b \n \f \v„7\0\f\v \0)\0\0"\r \0)\0" \v~ \n|"BˆBøÿÿÿÿÿÿÿƒ|"\f \0)\0\b"V\r \0)\0! \f)\0"B B†B>ƒ†"ƒP\r \r  \v| ~ \n|"BˆBøÿÿÿÿÿÿÿƒ|" V\r )\0 B†B>ƒˆBƒP\r\f\v \n)\0"\fB \vB†B>ƒ†"\vƒB\0R\r \n \f \v„7\0\f\v \f  „7\0 \r  \v| ~ \n|"\vBˆBøÿÿÿÿÿÿÿƒ|"\n V\r \n \n)\0B \vB†B>ƒ†„7\0\f\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v#€€€\0B€€€€€€€€\0|Bº€€€\0\0\v@@@@@@@@@@@@@@@@@@@@@@@ AJ\r\0@ AJ\r\0 AoI Aÿ\0jA~Iq AhGq\r\0  G\r\0 AnK AhFr AjAIr\r\v \t 7\b \t 7\0 !\f\f\v  ­B†|)\0!\n \t 7\b \n Z\rA\0!B\0!\v@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n Q\r\f\v\v \t \nB|"\f7\0 \vB\0B\0B Aj"­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r \n§!\v@@ AJ\r\0 \t 7 \t 7 !\n\f\v  ­B†|)\0!\n \t 7 \n Z\rA\0!B\0!\v@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n Q\r\f\v\v \t \nB|"\n7 \vB\0B\0B Aj"­† AÀ\0I A?K„"\vB€€€€\b|B€€€€Z\r \v§!\v@@@@@@@@@@@@@@@@  G\r\0A! Aj&&\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\vA\0! ApF\r% Aj#\v \f Z\rA\0!B\0!\v@ \f-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r"\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \fB|"\f Q\r\f\v\v \t \fB|7\0 \vB\0B\0B Aj"­† AÀ\0I A?K„"\vB€€€€\b|B€€€€Z\r \n Z\r \v§!A\0!B\0!\v@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r"\v ­ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n Q\r\f\v\v \vB\0B\0B Aj"­† AÀ\0I A?K„"\nB€€€€\b|B€€€€Z\r \0A      \n§A\0•€€\0!\f$\v AF\r# Aj#\v Aj"""""""""""""" """"""\v Aý~F\r\v Aj\t\b \v Aý~F\r AnF\f\v AnF\r\f\v \0      \t؀€€\0 \tB|؀€€\0A\0•€€\0!\f\v AnG\r \0      \t؀€€\0 \tB|؀€€\0A\0•€€\0!\f\v Aþ~G\r Aþ~G\r \t׀€€\0" \tB|׀€€\0G\r Aj!@ Aj"E! E\r \t׀€€\0! \t؀€€\0! \tB|׀€€\0! \tB|؀€€\0!\b  G\r \0       \bA\0•€€\0E\r\f\0\v\v AmG\r \0      \t؀€€\0 \tB|؀€€\0A\0•€€\0!\f\v AjG\r \t׀€€\0" \tB|׀€€\0G\rA€\b AtAøqv!A\0! \t)!\v \t)\0!\n@@  O\r \n \t)\b"\rZ\r\t   Ij!A\0!B\0!\f@ \n-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f@ ÀAJ\r\0 Aj! \nB|"\n \rQ\r\v\f\v\v \fB\0B\0B Aj"­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r \v \t)"\rZ\r\n \nB|!\n \f§!\bA\0!B\0!\f@ \v-\0\0"Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f@ ÀAJ\r\0 Aj! \vB|"\v \rQ\r\f\f\v\v \fB\0B\0B Aj"­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r \vB|!\vA\0! \0      \f§ \bA\0•€€\0E\r\f\0\v\v \t \v7 \t \n7\0@ \t׀€€\0" \tB|׀€€\0F\r\0A\0!\f\v Aj!@@ Aj"E\rA\0! \tB|؀€€\0! \0      \t؀€€\0 A\0•€€\0E\r\f\0\v\vA\0!A\0!A\0!A\0! \t׀€€\0"E\rA\0! \t)\b!\v \t)\0!\nA\0!A\0!@ \n \vZ\r\n@@@@ \n-\0\0Aj\0\vA!\f\vA!\f\vA!\v \nB|!\n Aj"\r\0\f\v\v AlG\r@ \b\r\0 \t׀€€\0"Aj!A\0! \tB|׀€€\0!@  F\r\vA\0! \tB|׀€€\0! \tB|؀€€\0!  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ÀAL\r\0\v \fB\0B\0B ­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r Aj!@ \r\0 \v Z\r\0 \r\v\v@  \vQ\r\0A\0!\f\vA\0! \0       \f§A\0•€€\0E\r\f\0\v\v AiG\rA\0!\b \t׀€€\0! \tB|׀€€\0! \t)\0!\n \t)! AÿqAF!@@@ \b O\r\0 \rA\0!\f\v AÿqAG Er!\f\v  \t)"\rZ\r\r \b \b Ij!\bA\0!B\0!@ -\0\0!@ A?G\r\0 AÿqAK\r\v ­Bÿ\0ƒ A?q­† „!@ ÀAJ\r\0 Aj! B|" \rQ\r\f\v\v B€€€€Z\r  |B|"\v \rV\r B|! \t \v7B\0!\fA\0! \v!@ "\v \rZ\r \v-\0\0! \t \vB|"7 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f Aj! ÀAL\r\0\v \fB\0B\0B ­† AÀ\0I A?K„"\vB€€€€\b|B€€€€Z\r \v§! \t)\b!\r@ \n \rZ\rA\0!B\0!\v@ \n-\0\0!@ A?G\r\0 AÿqAK\r\v ­Bÿ\0ƒ A?q­† \v„!\v@ ÀAJ\r\0 Aj! \nB|"\n \rQ\r\f\v\v \vB€€€€Z\r \n \v|B|" \rV\r \nB|! \t 7\0B\0!\fA\0! !\n@ \n"\n \rZ\r \n-\0\0! \t \nB|"\n7\0 Aÿ\0q!@ A?G\r\0 Aÿ\0F\r\0 \r\v ­ A?q­† \f„!\f Aj! ÀAL\r\0\v \fB\0B\0B ­† AÀ\0I A?K„"\fB€€€€\b|B€€€€Z\r    \v  \vT£‚€€\0" \v V \v Tk ! 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A AIAj\v B7\b A;€\b #€€€\0B³Û€€€€€€€\0|7ˆ\bB!B\0!B!\n\f\v B7\b A;€\b #€€€\0B¶Û€€€€€€€\0|7ˆ\b\f\v A;€\b AÿÿqE\r  \b7 \b A\0;˜\bB!\n B7\b #€€€\0B©Û€€€€€€€\0|7ˆ\b\f\v@BtB \tÁA\0H \t­Ã~"\nBÀý\0Z\r\0 B€\b| B€\t|  \nBˆB|"\nA\0 kA€€~ ÁAJ"‡‚€€\0 Á!@@ )€\bP\r\0 Bà\b|B| B€\b|B|)\x007\0 Bà\b|B\b| B€\b|B\b|)\x007\0  )€\b7à\b\f\v Bà\b| B€\t|  \n …‚€€\0\v@ .ð\b"\t L\r\0 )è\b"\vB\0Q\r )à\b"\n-\0\0A0M\r \t¬!\r@@@@@ \tAH\r\0  \n7ˆ\b A;€\b \v \rV\r A\0;˜\b  \v7\b  \r \v}7 \b Aÿÿq\rB!\n\f\b\v  \n7¸\b A;°\b A\0;˜\b B7\b A;€\b B\0 \r}"7 \b #€€€\0B©Û€€€€€€€\0|7ˆ\b  \v7À\bB!\n \b \vX\r \b \v}"\v X\r \v \r|!\b\f\v A;°\b B7¨\b A;˜\b #€€€\0B¨Û€€€€€€€\0|7 \b  \r7\b  \v \r}"\v7À\b  \n \r|7¸\b \b \vV\rB!\n\f\v B7À\b A;°\b #€€€\0B¨Û€€€€€€€\0|7¸\b\f\v \b \v}!\b\v  \b7Ð\b A\0;È\bB!\n\f\v A;€\b@ Aÿÿq\r\0B!\n B7\b #€€€\0B¹Û€€€€€€€\0|7ˆ\b\f\v  \b7 \b A\0;˜\bB!\n B7\b #€€€\0B©Û€€€€€€€\0|7ˆ\b\f\v\0\vB!\n B7\b #€€€\0B¹Û€€€€€€€\0|7ˆ\b\v  \n7ø\b  7è\b  7à\b  B€\b|7ð\b \0 Bà\b|Œ‚€€\0! B \t|$€€€€\0 \vÒ~~~#€€€€\0B }"$€€€€\0@@ \0/"\r\0 \0)\0 \0)\b ‚€€\0!\f\v B| B|)\x007\0 B| B|)\x007\0 B\b| B\b|)\x007\0  )\x007\0@@@ \0)"§"A€€€\bq\r\0 )\b!\f\v \0)\0 )\0 )\b" \0)\b)€€€€\0€€€€\0\r \0 A€€€ÿyqA°€€€r"6B\0! B\x007\b B7\0A\0  §Aÿÿqk"  K!\v@ )"\bP\r\0 )! \bB~!\t@@@@@ 3\0§\0\0\v B\b|)\0!\b\f\v B|)\0!\b\f\v@ B|/\0"AèI\r\0BB AÎ\0I!\b\f\vB!\b A\nI\r\0BB Aä\0I!\b\v B|! \b |! \tBh|"\tB\0R\r\0\v\v@@  ­BÿÿƒZ\r\0  §k!\nA\0!A\0!\v@@@ AvAq\0\0\v \n!\v\f\v \nAþÿqAv!\v\v Aÿÿÿ\0q! \0)\b! \0)\0!@ Aÿÿq \vAÿÿqO\r Aj!   ) ‚€€€\0€€€€\0E\r\0\f\v\v \0)\0 \0)\b ‚€€\0! \0 7\f\v   ‚€€\0\r\0A\0! \n \vkAÿÿq!\v@@ Aÿÿq"\n \vI! \n \vO\r Aj!   ) ‚€€€\0€€€€\0E\r\0\v\v \0 7\f\vA!\v B |$€€€€\0 \v±\t~~~~#€€€€\0BÐ}"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;°  7¨ B7   \n7˜  :\0²@@@@@@@@ A~j"E\r\0B!\n#€€€\0"B±Û€€€€€€€\0|"\v B²Û€€€€€€€\0| B\0S"\t \vB \t !B B?ˆ ! A AIAj\v B7( A; #€€€\0B³Û€€€€€€€\0|7 B!B\0!B!\n\f\v B7( A; #€€€\0B¶Û€€€€€€€\0|7 \f\v Bø\0| B˜| B|B†‚€€\0@@ )xP\r\0 B¸|B| Bø\0|B|)\x007\0 B¸|B\b| Bø\0|B\b|)\x007\0  )x7¸\f\v B¸| B˜| B|B„‚€€\0\v )À"\vB\0Q\r )¸"\b-\0\0A0M\r .È"¬!\n AH\r ­Bÿÿƒ!\r Bè\0|!  \b7 A;@@@ \v \nV\r\0 A\0;0  \v7(  \n \v}78 Aÿÿq\rB!\n\f\v A;H B7@ A;0 #€€€\0B¨Û€€€€€€€\0|78  \n7(  \b \n|7P  \v \n}"\n7X \n \rT\rB!\n\f\v A\0;` B7X A;H #€€€\0B¨Û€€€€€€€\0|7PB!\n  \r7\0\f\v A\0;`B!\n B7\0\f\v A; AÿÿqE\r B78 A\0;0B!\n B7( #€€€\0B©Û€€€€€€€\0|7 \f\v\0\v  \b7P A;H A\0;0 B7( A; B\0 \n}78 #€€€\0B©Û€€€€€€€\0|7 B!\n BØ\0| \v7\0\f\vB!\n B7( #€€€\0B¹Û€€€€€€€\0|7 \v  \n7  7€  7x  B|7ˆ \0 Bø\0|Œ‚€€\0! BÐ|$€€€€\0 \vÓ\n~~~#€€€€\0Bð\t}"$€€€€\0@ AÿÿqE\r\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"\bB€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\tB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\n"\vBƒ!\f@ \bB\0R\r\0@ \tPE\r\0A!\f\v \nAÍwj!\n \f§As!B!\b\f\vB€€€€€€€ \vB† \vB€€€€€€€\bQ"\r!\vBB \r!\b \f§As!AËwAÌw \r \nj!\n\v  \n;Ð\t  \b7È\t B7À\t  \v7¸\t  :\0Ò\t@@@@@ A~j"E\r\0 ­Bÿÿƒ!\fB!\v#€€€\0"\bB±Û€€€€€€€\0|"\t \bB²Û€€€€€€€\0| B\0S"\r \tB \r !\bB B?ˆ !@@@@ A AIAj\0\0\v B7˜\b A;ˆ\b #€€€\0B¶Û€€€€€€€\0|7\b\f\vBtB \nÁA\0H \n­Ã~!\v AÿÿqA\bI\r \vBÀý\0T\r\f\v AÿÿqAF\r B7È\b A;¸\b A\0; \b B7˜\b A;ˆ\b  \fB|7¨\b #€€€\0"\vB©Û€€€€€€€\0|7\b  \vBÂۀ€€€€€€\0BÀۀ€€€€€€\0 |7À\bB!\v\f\v \f \vBˆB|"\v \f \vT"\vB\bZ\r B˜\t| B¸\t| B\b| \vA€€‡‚€€\0@@ )˜\tP\r\0 BØ\t|B| B˜\t|B|)\x007\0 BØ\t|B\b| B˜\t|B\b|)\x007\0  )˜\t7Ø\t\f\v BØ\t| B¸\t| B\b| \vA€€…‚€€\0\v )à\t"\vB\0Q\r )Ø\t"\t-\0\0A0M\r .è\t! B7˜\b  \t7\b A;ˆ\b@ AÿÿqAG\r\0 \vBR\r\0 B \b|!\tB!\v\f\v A;¸\b A; \b  \vB|7È\b #€€€\0B¨Û€€€€€€€\0|7¨\b B7°\b  \tB|7À\b@ \f \vV\r\0 BÐ\b|!\tB!\v\f\v Bè\b|!\t A\0;Ð\b  \f \v}7Ø\bB!\v\f\v B7˜\b A;ˆ\b #€€€\0B³Û€€€€€€€\0|7\bB!\bB\0!\f\v \tA; \tA;\0 \tA k Aj AH"; \tBB 7 \t#€€€\0"\fB¯Û€€€€€€€\0| \fB­Û€€€€€€€\0|  \fB¬Û€€€€€€€\0| \fB«Û€€€€€€€\0|  7\b\f\v B7˜\b A;ˆ\b #€€€\0B½Û€€€€€€€\0BºÛ€€€€€€€\0 |7\b\vB!\v\v  \v7°\t  7 \t  \b7˜\t  Bˆ\b|7¨\t \0 B˜\t|Œ‚€€\0! Bð\t|$€€€€\0 \v\0\vœ\b~~~#€€€€\0B€}"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;à  7Ø B7Ð  \n7È  :\0â@@@@@@ A~j"E\r\0B!\n#€€€\0"B±Û€€€€€€€\0|"\v B²Û€€€€€€€\0| B\0S"\t \vB \t !B B?ˆ ! A AIAj\v B7( A; #€€€\0B³Û€€€€€€€\0|7 B!B\0!B!\n\f\v B7( A; #€€€\0B¶Û€€€€€€€\0|7 \f\v B7( A; #€€€\0B½Û€€€€€€€\0BºÛ€€€€€€€\0 |7 \f\v B¨| BÈ| B|B†‚€€\0@@ )¨P\r\0 Bè|B| B¨|B|)\x007\0 Bè|B\b| B¨|B\b|)\x007\0  )¨7è\f\v Bè| BÈ| B|B„‚€€\0\v )ð"\nB\0Q\r )è"\b-\0\0A0M\r .ø!  \b7 A; B7(@@ \nBR\r\0 B0|!\vB!\n\f\v Bà\0|!\v A;H A;0  \nB|7X #€€€\0B¨Û€€€€€€€\0|78 B7@  \bB|7PB!\n\v \vA; \vA;\0 \vA k Aj AH"; \vBB 7 \v#€€€\0"\bB¯Û€€€€€€€\0| \bB­Û€€€€€€€\0|  \bB¬Û€€€€€€€\0| \bB«Û€€€€€€€\0|  7\b\v  \n7À  7°  7¨  B|7¸ \0 B¨|Œ‚€€\0! B€|$€€€€\0 \v\0\vÐ~~#€€€€\0B}"$€€€€\0@@ )\b"P\r\0 \0 )\0  )€€€€\0€€€€\0E\r\0A!\f\v@ )"P\r\0 )" B~|! B|! B\b|B|!\b@ ! !@@@@ 3\0§\0\0\v@@ )\b"BÁ\0T\r\0 B|)\0!@@ \0#€€€\0BÄۀ€€€€€€\0|BÀ\0 €€€€\0€€€€\0E\r\0A!\f\t\v B@|"BÀ\0V\r\0\f\v\v P\r\v \0#€€€\0BÄۀ€€€€€€\0|  B|)\0€€€€\0€€€€\0E\rA!\f\v \0 )\b ) B|)\0€€€€\0€€€€\0E\rA!\f\v /!\t \bA\0:\0\0 A\x006\bB\b!@@@@@ 3\0§\0\v@ /"AèI\r\0BB AÎ\0I!\f\vB! 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BU\r\0 \0(\0E\r\0 \0A6\b\v \v¢||~D\0\0\0\0\0\0ð?!Ajm\r¨Zjz\vÏäÿ\t“\'®\0\n±ž}D“ðÒ£\b‡hòþÂi]Wb÷Ëge€q6lçknvÔþà+ӉZzÚÌJÝgoß¹ùùﾎC¾·Վ°`è£ÖÖ~“Ñ¡ÄÂØ8RòßOñg»ÑgW¼¦Ýµ?K6²HÚ+\rØL\n¯öJ6`zAÃï`ßUßg¨ïŽn1y¾iFŒ³a˃f¼ Òo%6âhR•w\fÌG\v»¹"/&U¾;ºÅ(\v½²’Z´+j³\\§ÿ×Â1Ïе‹žÙ,®Þ[°Âd›&òc윣ju\n“m©\tœ?6ë…grW\0‚J¿•z¸â®+±{8¶\f›ŽÒ’\r¾Õå·ïÜ|!ßÛ\vÔÒӆBâÔñø³ÝhnƒÚ;[&¹öáw°owG·æZ\bˆpjÿÊ;f\\\vÿžei®bøÓÿkaEÏlxâ\n îÒ\r×TƒN³9a&g§÷`ÐMGiIÛwn>JjÑ®ÜZÖÙf\vß@ð;Ø7S®¼©Åž»ÞϲGéÿµ0ò½½ŠÂºÊ0“³S¦£´$6к“×Í)WÞT¿gÙ#.zf³¸JaÄh]”+o*7¾\v´¡Ž\fÃßZï-ABCDEFGHIJKLMNOPQRSTUVWXYZ234567accum_base32: Base32 symbol out of rangeRegion error: StableMemory range out of boundsrange overflowoffset out of boundsMOREGIONcannot recover un-allocated regionmigration failure (insufficient pages)migration failure (too many pages for region0 )migration failure (base too low)migration failure (unexpected block size)migration failure (unexpected higher version)migration failure (bad magic bytes)alloc_text_blob: Text too largeweak_ref_is_live: Called on a non-weak reference.object_size: forwarding pointerobject_size: invalid object tagutf8_validate: string is not UTF-8IDL error: RTS error: remember_continuation: Argument is not a skewed pointerrecall_continuation: Continuation table not allocatedrecall_continuation: Continuation index not in tablerecall_continuation: Continuation index out of range\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0 \0\0ð\0\0\0\0Cannot grow memoryservice method arg not a constructor typeservice method arg not a function typeservice method names out of orderfunc annotation not within 1..3primitive type in type tableillegal type tabletoo many typesmissing magic bytesempty input. Expected Candid-encoded argument, but received a zero-length argumentweak_ref_is_live: Invalid WeakRef pointer. This is a bug, report to the Motoko team.set_dedup_table: Invalid dedup table pointer. This is a bug, report to the Motoko team.\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0M\0\0\0O\0\0\0T\0\0\0O\0\0\0K\0\0\0O\0\0\0 \0\0\0O\0\0\0R\0\0\0T\0\0\0H\0\0\0O\0\0\0G\0\0\0O\0\0\0N\0\0\0A\0\0\0L\0\0\0 \0\0\0P\0\0\0E\0\0\0R\0\0\0S\0\0\0I\0\0\0S\0\0\0T\0\0\0E\0\0\0N\0\0\0C\0\0\0E\0\0\0 \0\0\x006\0\0\x004\0\0\0Unsupported persistence versionMemory-incompatible program upgradeblob_of_principal: invalid principalblob_of_principal: principal too shortout of regionsInvalid tagInsufficient stable memorytext_concat: Text too largetext_iter_next: Iter already doneinvalid object tag in visit_pointer_fields0.1No destabilization 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Aj! \bÀAL\r\0\v \0(\0\0" O\r -\0\0! \0 Aj6\0\0 AO\r! E\rI A\0A\0A t \bAÀ\0I AKr!\f\vA\0!A\0!@  O\r" -\0\0!\b@ AG\r\0 \bAø\0q"Aø\0F\r\0 \rH\v Aj! \bAÿ\0q t r! Aj! \bÀAL\r\0\v \0(\0\0" O\r"A\0!\t A\0A\0A t \bAÀ\0I AKr!A\0!@ -\0\0! \0 Aj"\b6\0\0@ AG\r\0 AÿqAK\rH\v Aÿ\0q t \tr!\t@ ÀAJ\r\0 Aj! \b! \b F\r$\f\v\v \tE\rHA\0 \t­ƒ€€€\0 \0(\0\0! \0  A\0؀€€\0  \0(\0\0F\r\r \tAF\rH \tAj!@ \0  A\0؀€€\0 Aj"\r\0\fI\v\v  O\r"A\0!\nA\0!@ -\0\0!\b@ AG\r\0 \bAÿqAK\rG\v \bAÿ\0q t \nr!\n@ \bÀA\0N\r\0 Aj! Aj" F\r$\f\v\v \nE\rG Aj!A\0!\v@  O\r- ,\0\0! Aj"\b! A\0H\r\0A\0! \b!A\0!@  O\r/ -\0\0!\b@ AG\r\0 \bAø\0q"\tAø\0F\r\0 \t\rH\v Aj! \bAÿ\0q t r! Aj! \bÀAL\r\0\v A\0A\0A t \bAÀ\0I AKr" F\r\b \0   ؀€€\0 \vAj"\v \nG\r\0\fH\v\v  O\r"A\0!A\0!@ -\0\0!\b@ AG\r\0 \bAÿqAK\rF\v \bAÿ\0q t r!@ \bÀAJ\r\0 Aj! 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(!\n\v  \nj!@@@ \f\r\0 A€I\r@ A€€I\r\0  A?qA€r:\0  AvAðr:\0\0  AvA?qA€r:\0  A\fvA?qA€r:\0\f\v  A?qA€r:\0  A\fvAàr:\0\0  AvA?qA€r:\0\f\v  :\0\0\f\v  A?qA€r:\0  AvAÀr:\0\0\v  \t j"6@@ \bA€I"\nE\r\0A!\f\v@ \bA€O\r\0A!\f\vAA \bA€€I!\v !\t@  (\b kM\r\0 A\bj  偀€\0 (!\t\v (\f" \tj!\t@@ \n\r\0 \bA€I\r@ \bA€€I\r\0 \t \bA?qA€r:\0 \t \bAvAðr:\0\0 \t \bAvA?qA€r:\0 \t \bA\fvA?qA€r:\0  j!\f\v \t \bA?qA€r:\0 \t \bA\fvAàr:\0\0 \t \bAvA?qA€r:\0  j!\f\v \t \b:\0\0  j!\f\v \t \bA?qA€r:\0 \t \bAvAÀr:\0\0  j!\f\v  j!\v  6  \vG\r\0\v\v \0 )\b7\0 \0A\bj A\bjA\bj(\x006\0 A j$€€€€\0\v\0\vô\t~@@@ A\bI\r\0 Aq"E\r#€€€\0! \0( "A)O\r@ \r\0 \0A\x006 \f\v AjAÿÿÿÿq"Aj"Aq! AÈ€€\0j Atj(\0 v­!\b@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0 \b~ \t|"\t>\0 Aj" 5\0 \b~ \tB ˆ|"\t>\0 A\bj" 5\0 \b~ \tB ˆ|"\t>\0 A\fj" 5\0 \b~ \tB ˆ|"\n>\0 \nB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \f\v#€€€\0! \0( "A)O\r@ \r\0 \0A\x006  \0\v AÈ€€\0j Atj5\0!\b AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0 \b~ \t|"\t>\0 Aj" 5\0 \b~ \tB ˆ|"\t>\0 A\bj" 5\0 \b~ \tB ˆ|"\t>\0 A\fj" 5\0 \b~ \tB ˆ|"\n>\0 \nB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6  \0\v@ A\bqE\r\0 \0( "A)O\r@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0Báë~ \t|"\b>\0 Aj" 5\0Báë~ \bB ˆ|"\b>\0 A\bj" 5\0Báë~ \bB ˆ|"\b>\0 A\fj" 5\0Báë~ \bB ˆ|"\b>\0 \bB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0Báë~ \t|"\b>\0 Aj! \bB ˆ!\t Aj"\r\0\v\v \bB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \v@ AqE\r\0 \0#€€€\0Aœ·€€\0jA遀€\0\v@ A qE\r\0 \0#€€€\0A¤·€€\0jA遀€\0\v@ AÀ\0qE\r\0 \0#€€€\0A°·€€\0jA遀€\0\v@ A€qE\r\0 \0#€€€\0AÄ·€€\0jA\n遀€\0\v@ A€qE\r\0 \0#€€€\0A췀€\0jA遀€\0\v \0 ꁀ€\0 \0\v\0\vª\r~~#€€€€\0A k"$€€€€\0@A E\r\0 A\0A ü\v\0\v@@@ \0( " I\r\0 A)O\r  Atj!@ \r\0A\0!A\0!@  F\r Aj! (\0!\b Aj"\t! \bE\r\0  Aj"  K! \t!\f\0\v\v Aj!\n \0 Atj!\vA\0!\b \0 A\0GAtj! AjAÿÿÿÿq!\fA\0!@  \bAtj!\t@ \b!\r \t!  F\r Aj!\t \rAj!\b (\0! Aj"! E\r\0\v ­!B\0!A!\t ! \0!@ ! \b \tjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj!   \vGAtj! ! \f \tAj"\tG\r\0\v !@ B€€€€T\r\0 \r j"A(O\r  Atj §6\0 \n!\v   \rj"  K! !\f\0\v\v A)O\r\0 Aj! Aj!\n AjAÿÿÿÿq!\f  Atj! \0 Atj!\vA\0!\t \0!\bA\0!@  \tAtj!\r@ \t! \r! \b \vF\r Aj!\r Aj!\t \b(\0! \bAj"!\b E\r\0\v ­!B\0!A!\r \n! !@ !\b \t \rjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj! \b \b GAtj! \b! \f \rAj"\rG\r\0\v !@ B€€€€T\r\0  j"A(O\r  Atj §6\0 !\v   j"  K! !\b\f\0\v\v\0\v@A E\r\0 \0 A ü\n\0\0\v \0 6  A j$€€€€\0 \0\vÜ\t@@ A€\nO\r\0 Av!@ \0( "E\r\0 Aj! At \0jA|j!  jAt \0jA|j! A)I!@ E\r  jA(O\r  (\x006\0 A|j! A|j! Aj"\r\0\v\v Aq!@ A I\r\0 At"E\r\0 \0A\0 ü\v\0\v \0( " j!@ \r\0 \0 6  \0\v Aj"A\'K\r\0 !\b \0 Atj(\0A\0 k"v"E\r A\'K\r\0 \0 Atj 6\0 Aj!\b\f\v\0\v@ Aj"\t O\r\0 Aq!@ Aq\r\0 At! \0 Aj"Atj"  \0Axjj(\0 v (\0 tr6\0\v AF\r\0 At \0jAtj!@ A\bj" Aj"(\0"\n v (\0 tr6\0  (\0 v \n tr6\0 Axj! \t A~j"I\r\0\v\v \0 Atj" (\0 t6\0 \0 \b6  \0\v 3~#€€€€\0A \nk"$€€€€\0@ )\0"B\0Q\r\0 )\b"B\0Q\r\0 )"B\0Q\r\0  |"\b T\r\0  T\r\0 AM\r\0 ,\0!\t .!  >\0 AA B€€€€T"\n6  A\0 B ˆ§ \n6@A˜E"\n\r\0 A\bjA\0A˜ü\v\0\v  >¤ AA B€€€€T"\v6Ä A\0 B ˆ§ \v6¨@ \n\r\0 A¤jA\bjA\0A˜ü\v\0\v  >È AA B€€€€T"\v6è A\0 B ˆ§ \v6Ì@ \n\r\0 AÈjA\bjA\0A˜ü\v\0\v@AœE\r\0 AðjA\0Aœü\v\0\v A6ì A6Œ ¬ \bB|y}BšÁè~B€¡Í ´|B ˆ§"\nÁ!\f@@ A\0H\r\0  ꁀ€\0 A¤j ꁀ€\0 AÈj ꁀ€\0\f\v AìjA\0 kÁꁀ€\0\v@@ \fAJ\r\0 A\0 \fkAÿÿq"聀€\0 A¤j 聀€\0 AÈj 聀€\0\f\v Aìj \nAÿÿq聀€\0\v@A¤E\r\0 Aü\bj A¤ü\n\0\0\v (è"\r (œ\n" \r K"A(K\r\0@@ \r\0A\0!\f\v Aq!@@ AG\r\0A\0!A\0!\f\v A>q!A\0! Aü\bj! AÈj!\nA\0!@  (\0" \n(\0j"\v Aqj"6\0 Aj" (\0" \nAj(\0j" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ E\r\0 Aü\bj At"j"\n \n(\0"\n AÈj j(\0j" j"\v6\0  \nI \v Ir!\v AqE\r\0 A(F\r Aü\bj AtjA6\0 Aj!\v  6œ\n  (Œ"  K"A)O\r\0 At!@@@ E\r A|j" Aìjj(\0"\n  Aü\bjj(\0"\vF\r\0\v \n \vK \n \vIk!\f\vAA\0 !\v@@  \tH\r\0 ( "A)O\r@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 !B\0!\f\v \vAüÿÿÿq!\v !B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v B€€€€T\r\0 A(F\r  Atj §6\0 Aj!\v  6  (Ä"A)O\rA\0!A\0!@ E\r\0 AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 A¤j!B\0!\f\v \vAüÿÿÿq!\v A¤j!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0 !\f\v A(F\r A¤j Atj §6\0 Aj!\v  6Ä@ \rE\r\0 \rAjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 AÈj!B\0!\f\v \vAüÿÿÿq!\v AÈj!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0  \r"6è\f\v \rA(F\r AÈj \rAtj §6\0 \rAj!\v  6è\f\v \fAj!\f \r!\v@A¤E\r\0 Aj AìjA¤ü\n\0\0\v (°"E\r\0 A(K\r\0 !@ Aj AtjA|j(\0"\nAJ\r\0 A(F\r Aj Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 Aj Aj"\nAtj"\v \v(\0At Aˆj Atj(\0Avr6\0\v AF\r\0 \nAt AjjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  6°  (At6@A¤E\r\0 A´j AìjA¤ü\n\0\0\v (Ô"E\r\0 A(K\r\0 !@ A´j AtjA|j(\0"\nA€€€€I\r\0 A(F\r A´j Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 A´j Aj"\nAtj"\v \v(\0At A¬j Atj(\0Avr6\0\v AF\r\0 \nAt A´jjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  6Ô  (´At6´@A¤E\r\0 AØj AìjA¤ü\n\0\0\v (ø\b"E\r\0 A(K\r\0 !@ AØj AtjA|j(\0"\nA€€€€I\r\0 A(F\r AØj Atj \nAv6\0 Aj!\v@ AF\r\0 !\n@ Aq\r\0 AØj Aj"\nAtj"\v \v(\0At AÐj Atj(\0Avr6\0\v AF\r\0 \nAt AØjjAtj!@ A\bj"\v \v(\0At Aj"\v(\0"Avr6\0 \v At (\0Avr6\0 Axj! \nA~j"\nAK\r\0\v\v  (ØAt6Ø  6ø\b  ( "  K"A(K\r\0A\0!@@@ ! At!@@@@ E\r A|j" j(\0"\n  AØjj(\0"\vF\r\0\v \n \vO\rA\0!\f\v E\r\0A\0!\f\vA! Aq!\rA\0!@ AF\r\0 A>q!A\0!A! ! AØj!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ \rE\r\0  At"j"\n \n(\0"\n AØj j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r  6 A\b! !\v    K"A)O\r At!@@@@ E\r A|j" j(\0"\n  A´jj(\0"\vF\r\0\v \n \vO\r !\f\v E\r\0 !\f\vA! Aq!\rA\0!@ AF\r\0 A>q!A\0!A! ! A´j!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ \rE\r\0  At"j"\n \n(\0"\n A´j j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r  6  Ar!\v    K"\rA)O\r \rAt!@@@@ E\r A|j" j(\0"\n  Ajj(\0"\vF\r\0\v \n \vO\r !\r\f\v E\r\0 !\r\f\vA! \rAq!A\0!@ \rAF\r\0 \rA>q!A\0!A! ! Aj!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ E\r\0  At"j"\n \n(\0"\n Aj j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r  \r6  Aj!\v  \r  \rK"A)O\r At!@@@@ E\r A|j" j(\0"\n  Aìjj(\0"\vF\r\0\v \n \vO\r \r!\f\v E\r\0 \r!\f\v@ E\r\0A! Aq!\rA\0!@ AF\r\0 A>q!A\0!A! ! Aìj!\n@  (\0" \n(\0Asj"\v Aqj"6\0 Aj" (\0" \nAj(\0Asj" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ \rE\r\0  At"j"\n \n(\0"\n Aìj j(\0Asj" j"\v6\0  \nI \v Ir!\v AqE\r\v  6  Aj!\v  F\r  j A0j:\0\0 (Ä"   K"A)O\r Aj! At!@@@ E\r A|j" j(\0"\n  A¤jj(\0"\vF\r\0\v \n \vK \n \vIk!\f\vAA\0 !\v@A¤E\r\0 Aü\bj A¤ü\n\0\0\v  (œ\n"  K"\rA(K\r@@ \r\r\0A\0!\r\f\v \rAq!A\0!A\0!@ \rAF\r\0 \rA>q!A\0! Aü\bj! AÈj!\nA\0!@  (\0" \n(\0j"\v Aqj"6\0 Aj" (\0" \nAj(\0j" \v I  \vIrj"\v6\0  I \v Ir! \nA\bj!\n A\bj!  Aj"G\r\0\v\v@ E\r\0 Aü\bj At"j"\n \n(\0"\n AÈj j(\0j" j"\v6\0  \nI \v Ir!\v AqE\r\0 \rA(F\r Aü\bj \rAtjA6\0 \rAj!\r\v  \r6œ\n \r  \r K"A)O\r At!@@@ E\r A|j" Aìjj(\0"\n  Aü\bjj(\0"\vF\r\0\v \n \vK \n \vIk!\f\vAA\0 !\v@@@  \tH"\n\r\0  \tN\r\v  \tN\r \n\r\f\vA\0!A\0!@ E\r\0 AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 !B\0!\f\v \vAüÿÿÿq!\v !B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0 !\f\v A(F\r  Atj §6\0 Aj!\v  6 @ E\r\0 AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 A¤j!B\0!\f\v \vAüÿÿÿq!\v A¤j!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! Aj! \vA|j"\v\r\0\v\v@ \nE\r\0@  5\0B\n~ |">\0 Aj! B ˆ! \nAj"\n\r\0\v\v@ B€€€€Z\r\0 !\f\v A(F\r A¤j Atj §6\0 Aj!\v  6Ä@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"\vAq!\n@@ AO\r\0 AÈj!B\0!\f\v \vAüÿÿÿq!\v AÈj!B\0!@  5\0B\n~ |">\0 Aj" 5\0B\n~ B ˆ|">\0 A\bj" 5\0B\n~ B ˆ|">\0 A\fj" 5\0B\n~ B ˆ|">\0 B ˆ! 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AjA?q­!B!@@  ˆP\r\0 \0A\x006\0\f\v  O\r  j B\n~" \nˆ§A0j:\0\0 B\n~!  \rƒ!  Aj"G\r\0\v \0       \f €\0\f\v \0      \v­ \n† | \b­ \n† \f€\0\f\v \0A\x006\0\f\v\0\v \0A\x006\0\v Aj$€€€€\0\vö@@@@  \bX\r\0  \b} \bX\r@@@@  } X\r\0  B†} \bB†Z\r\v  \bV\r\f\v  K\r\f\v   \b}"\b} \bV\r  K\r\0  j!\tA\0!\n !\v@@@  \nF\r \nAj!\n \vAj"\v j"\f-\0\0A9F\r\0\v \f \f-\0\0Aj:\0\0  \nkAj O\r \nAj"\nE\r \fAjA0 \nü\v\0\f\v@@ \r\0A1!\n\f\v A1:\0\0@ AG\r\0A0!\n\f\vA0!\n Aj"\vE\r\0 AjA0 \vü\v\0\v AjÁ!  O\r\0  ÁL\r\0 \t \n:\0\0 Aj!\v  M\r\v\0\v \0A\x006\0\v \0A\x006\0\v \0 ;\b \0 6 \0 6\0\v \0A\x006\0\v±\b#€€€€\0Ak"$€€€€\0  6  \x006\0 B €€€7\b@@@@@ ("E\r\0 ("\0\r\f\v (\f"E\r (\b" Atj! A\bj! AjAÿÿÿÿqAj! (\0!\0A\0!\b@ !@ \0Aj(\0"E\r\0 (\0 \0(\0  ((\f€€€\0€€€€\0E\r\0A!\f\v@ (\0  (‚€€€\0€€€€\0E\r\0A!\f\v \0A\bj!\0   GAtj! !  \bAj"\bF\r\f\0\v\v  \0Alj!\t Aj! \0AjAÿÿÿÿqAj! (\b!\n (\0!A\0!@ !\0@ Aj(\0"E\r\0 (\0 (\0  ((\f€€€\0€€€€\0E\r\0A!\f\vA\0!A\0!\b@@@ /\b\0\0\v /\n!\b\f\v \n (\fAtj/!\b\v@@@ /\0\0\0\v /!\f\v \n (Atj/!\v  ;  \b;\f  (6\b@ \n (Atj"(\0  (‚€€€\0€€€€\0E\r\0A!\f\v A\bj! \0A\0A \0 \tFj! \0!  Aj"F\r\f\0\v\vA\0!\v@  (O\r\0 (\0 (\0 Atj"(\0 ( ((\f€€€\0€€€€\0E\r\0A!\f\vA\0!\v Aj$€€€€\0 \v÷~@ E\r\0A\0 Ayj"  K! AjA|q k!A\0!@@@@@  j-\0\0"À"A\0H\r\0  kAq\r  O\r@  j"Aj(\0 (\0rA€‚„xq\r A\bj" I\r\0\f\v\vB€€€€€ !\bB€€€€!\t@@@@@@@@@@@@#€€€\0AÌÀ€\0j j-\0\0A~j\0\n\v Aj" I\rB\0!\bB\0!\t\f\t\vB\0!\b Aj"\n I\rB\0!\t\f\b\vB\0!\b Aj"\n I\rB\0!\t\f\vB€€€€€ !\bB€€€€!\t  j,\0\0A¿J\r\f\v  \nj,\0\0!\n@@@ A ~j\0\v \nA`qA F\r\f\v \nAŸJ\r\f\v@ AjAÿqA\fI\r\0 A~qAnG\r \nA@H\r\f\v \nA@H\r\f\v  \nj,\0\0!\n@@@@ A~j\0\0\0\0\v AjAÿqAK\r \nA@N\r\f\v \nAð\0jAÿqA0O\r\f\v \nAJ\r\v@ Aj" I\r\0B\0!\t\f\v  j,\0\0A¿J\rB\0!\t Aj" O\r  j,\0\0A@H\rB€€€€€à\0!\b\f\vB€€€€€ !\b\f\vB\0!\t Aj" O\r  j,\0\0A¿L\r\vB€€€€€À\0!\b\vB€€€€!\t\v \0 \b ­„ \t„7 \0A6\0\v Aj!\f\v Aj!\f\v  O\r\0@  j,\0\0A\0H\r  Aj"G\r\0\f\v\v  I\r\0\v\v \0 6\b \0 6 \0A\x006\0\v³\n~~~#€€€€\0Aà\bk"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\f \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\f\v  \f;Ø\b  7Ð\b B7È\b  \n7À\b  :\0Ú\b@@@@@@ A~j"\tE\r\0 Aÿÿq!\rA!#€€€\0"Aù€€\0j" Aú€€\0j B\0S" A  !A B?ˆ§ ! \tA \tAIAj\v A6ˆ\b A;€\b #€€€\0Aû€€\0j6„\bA!A\0!A!\f\v A6ˆ\b A;€\b #€€€\0Aþ€€\0j6„\b\f\vA! A;€\b AÿÿqE\r  \r6\b A\0;Œ\b A6ˆ\b #€€€\0Añ€€\0j6„\b\f\v@AtA \fÁ"A\0H l"AÀý\0O\r\0 A€\bj AÀ\bj  AvAj"\tA\0 kA€€~ ÁAJ"€\0 Á!@@ (€\bE\r\0 A°\bjA\bj A€\bjA\bj(\x006\0  )€\b7°\b\f\v A°\bj AÀ\bj  \t 쁀€\0\v@ .¸\b"\t L\r\0 (´\b"\fE\r (°\b"-\0\0A0M\r A;€\b@@@@@ \tAH\r\0  6„\b \f \tK\r A\0;Œ\b  \f6ˆ\b  \t \fk6\b Aÿÿq\rA!\f\b\v  6œ\b A;˜\b A6ˆ\b #€€€\0Añ€€\0j6„\b A\0;Œ\b A\0 \tk"6\b  \f6 \bA! \r \fM\r \r \fk"\f M\r \f \tj!\r\f\v A;˜\b A6”\b A;Œ\b #€€€\0Að€€\0j6\b  \t6ˆ\b  \f \tk"6 \b   \tj6œ\b \r K\rA!\f\v A6 \b A;˜\b #€€€\0Að€€\0j6œ\b\f\v \r k!\r\v  \r6¨\b A\0;¤\bA!\f\vA! A;€\b@ Aÿÿq\r\0A! A6ˆ\b #€€€\0AÃ€€\0j6„\b\f\v  \r6\b A\0;Œ\b A6ˆ\b #€€€\0Añ€€\0j6„\b\f\v\0\vA! A6ˆ\b #€€€\0AÃ€€\0j6„\b\v  6¼\b  6´\b  6°\b  A€\bj6¸\b \0 A°\bj󁀀\0! Aà\bj$€€€€\0 \vž~#€€€€\0Ak"$€€€€\0@@ \0/\f"\r\0 \0(\0 \0( ÷€€\0!\f\v A\bj A\bj)\x007\0  )\x007\0@@@ \0)\b"§"A€€€\bq\r\0 (!\f\v \0(\0 (\0 (" \0((\f€€€\0€€€€\0\r \0 A€€€ÿyqA°€€€r"6\b B7\0A\0!A\0  Aÿÿqk"  K!\v@ (\f"E\r\0 (\b! A\fl!\b@@@@@ /\0\0\0\v Aj(\0!\f\v A\bj(\0!\f\v@ Aj/\0"\tAèI\r\0AA \tAÎ\0I!\f\vA! \tA\nI\r\0AA \tAä\0I!\v A\fj!  j! \bAtj"\b\r\0\v\v@@  AÿÿqO\r\0  k!\nA\0!A\0!\t@@@ AvAq\0\0\v \n!\t\f\v \nAþÿqAv!\t\v Aÿÿÿ\0q!\b \0(! \0(\0!@ Aÿÿq \tAÿÿqO\r Aj!  \b (‚€€€\0€€€€\0E\r\0\f\v\v \0(\0 \0( ÷€€\0! \0 7\b\f\v   ÷€€\0\r\0A\0! \n \tkAÿÿq!\t@@ Aÿÿq" \tI!  \tO\r Aj!  \b (‚€€€\0€€€€\0E\r\0\v\v \0 7\b\f\vA!\v Aj$€€€€\0 \v¼\b~~~#€€€€\0Ak"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;x  7p B7h  \n7`  :\0z@@@@@@@@ A~j"\tE\r\0A!#€€€\0"\fAù€€\0j"\r \fAú€€\0j B\0S"\f \rA \f !\fA B?ˆ§ ! \tA \tAIAj\v A6( A; #€€€\0Aû€€\0j6$A!\fA\0!A!\f\v A6( A; #€€€\0Aþ€€\0j6$\f\v AÐ\0j Aà\0j AjA큀€\0@@ (PE\r\0 A€jA\bj AÐ\0jA\bj(\x006\0  )P7€\f\v A€j Aà\0j AjA끀€\0\v („"\tE\r (€"\r-\0\0A0M\r .ˆ! A; AH\r  \r6$@@@ \t K\r\0 A\0;,  \t6(   \tk60 Aÿÿq\rA!\f\v A;8 A64 A;, #€€€\0Að€€\0j60  6(  \r j6<  \t k"6@  AÿÿqI\rA!\f\v A6@ A;8 #€€€\0Að€€\0j6<\v A\0;DA! AÈ\0jA6\0\f\vA! A; AÿÿqE\r A60 A\0;, A6( #€€€\0Añ€€\0j6$\f\v\0\v  \r6< A;8 A6( #€€€\0Añ€€\0j6$ A\0;, A\0 k60A! AÀ\0j \t6\0\f\vA! A6( #€€€\0AÃ€€\0j6$\v  6\\  6T  \f6P  A j6X \0 AÐ\0j󁀀\0! Aj$€€€€\0 \vî\t~~~#€€€€\0A\tk"$€€€€\0@ Aÿÿq"E\r\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\b\f\v@ B€€€€€€€øÿ\0ƒ"\tB€€€€€€€øÿ\0R\r\0A!\b\f\v Bÿÿÿÿÿÿÿƒ"\nB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\v"\fBƒ!\r@ \tB\0R\r\0@ \nPE\r\0A!\b\f\v \vAÍwj! \r§As!\bB!\t\f\vB€€€€€€€ \fB† \fB€€€€€€€\bQ"!\fBB !\t \r§As!\bAËwAÌw  \vj!\v  ;ø\b  \t7ð\b B7è\b  \f7à\b  \b:\0ú\b@@@@@ \bA~j"\vE\r\0A!\b#€€€\0"Aù€€\0j" Aú€€\0j B\0S" A  !A B?ˆ§ !@@@@ \vA \vAIAj\0\0\v A6\b A;ˆ\b #€€€\0Aþ€€\0j6Œ\b\f\vAtA Á"\bA\0H \bl!\b AÿÿqA\bI\r \bAÀý\0I\r\f\v AÿÿqAF\r A6¨\b A; \b A\0;”\b A6\b A;ˆ\b  Aj6˜\b #€€€\0"\bAñ€€\0j6Œ\b  \bAŠÃ€€\0AˆÃ€€\0 j6¤\bA!\b\f\v  \bAvAj"\b  \bI"\bA\bO\r AÐ\bj Aà\bj A\bj \bA€€€\0@@ (Ð\bE\r\0 A€\tjA\bj AÐ\bjA\bj(\x006\0  )Ð\b7€\t\f\v A€\tj Aà\bj A\bj \bA€€쁀€\0\v („\t"\bE\r (€\t"-\0\0A0M\r .ˆ\t!\v  6Œ\b A;ˆ\b A6\b@ AÿÿqAG\r\0 \bAG\r\0 A”\bj!A!\b\f\v A; \b A;”\b  \bAj6¨\b #€€€\0Að€€\0j6˜\b A6œ\b  Aj6¤\b@  \bK\r\0 A¬\bj!A!\b\f\v A¸\bj! A\0;¬\b   \bk6°\bA!\b\f\v A6\b A;ˆ\b #€€€\0Aû€€\0j6Œ\bA!A\0!\f\v A;\f A;\0 A \vk \vAj \vAH"; AA 6\b #€€€\0"\vA÷€€\0j \vAõ€€\0j  \vAô€€\0j \vAó€€\0j  6\f\v A6\b A;ˆ\b #€€€\0A…À€\0A‚À€\0 j6Œ\b\vA!\b\v  \b6Ü\b  6Ô\b  6Ð\b  Aˆ\bj6Ø\b \0 AÐ\bj󁀀\0!\b A\tj$€€€€\0 \b\v\0\vÅ~~~#€€€€\0A k"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\t \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\t\v  \t;ˆ  7€ B7x  \n7p  :\0Š@@@@@@ A~j"E\r\0A!\t#€€€\0"\fAù€€\0j"\r \fAú€€\0j B\0S"\f \rA \f !\fA B?ˆ§ ! A AIAj\v A6 A; #€€€\0Aû€€\0j6A!\fA\0!A!\t\f\v A6 A; #€€€\0Aþ€€\0j6\f\v A6 A; #€€€\0A…À€\0A‚À€\0 j6\f\v Aà\0j Að\0j AjA큀€\0@@ (`E\r\0 AjA\bj Aà\0jA\bj(\x006\0  )`7\f\v Aj Að\0j AjA끀€\0\v (”"\tE\r ("-\0\0A0M\r .˜!\r  6 A; A6 @@ \tAG\r\0 A$j!A!\t\f\v A\0 \0A|j!\0 A|j! Aj"AK\r\0\v §!\0\v@ E\r\0  \x006\0\v@ E\r\0 £‚€€\0  ¥‚€€\0\v ¦‚€€\0\v Aj$€€€€\0 \vÄA\0!@ AH\r\0 \0(\0"E\r\0@ \0(  j"N\r\0 \0 ¢‚€€\0"\r \0(\0" j!\v \0 6\0 \0(\f!\0@ AH\r\0A\0 Atk! \0 AtjA|j!@   j(\x006\0 A|j! Aj" J\r\0\v\v Aj!@A\0! \0A\x006\0 \0Aj!\0 Aj"AJ\r\0\v\v \vˆ@@ \0(\0\r\0 \0A‚€€\0\f\v@@ \0(\bAG\r\0 \0A\x006\b \0½‚€€\0"\r \0(\0E\r \0A6\b\f\v@ \0(\f"(\0"Aþÿÿÿ\0K\r\0  Aj6\0\f\v \0A \0¾‚€€\0!\v \vA\0\v‹@@ \0(\0\r\0 \0A‚€€\0 \0A6\b\f\v@@ \0(\bAG\r\0 \0A\x006\b \0¼‚€€\0"\r \0(\0E\r \0A6\b\f\v@ \0(\f"(\0"AI\r\0  Aj6\0\f\v \0A \0¿‚€€\0!\v \vA\0\vÕ#€€€€\0Ak"$€€€€\0@@ ( \0(\0"J\r\0  Aj¢‚€€\0"\r\v@@@@ \0(\b"AG\r\0@ \0(\0AJ\r\0 \0(\f(\0 O\r\0 \0A\fj! (\f! (\0!\f\v A\bj" \0A\bj)\x007\0 A\x006\0  \0)\x007\0   ¿‚€€\0! A6\b\f\v \0A\fj! (\f! (\0! \r\0@@ \0(\0AN\r\0A!\f\v (\0!A\0!@  (\0 j"Aÿÿÿÿ\0q6\0 Aj! Aj! Av! Aj" \0(\0H\r\0\v As!\v  6\0  \0(\0Aj6\0\f\v A6\0@ \0(\0AG\r\0  (\0(\0k!\v  6\0A!\vA\0! A\x006\b  j"AH\r\0 Aj! Aj!@ A\x006\0 Aj! Aj"AK\r\0\v\v £‚€€\0\v Aj$€€€€\0 \v•#€€€€\0Ak"$€€€€\0@@ ( \0(\0"J\r\0  Aj¢‚€€\0"\r\v@ \0(\bAG\r\0 A\bj" \0A\bj)\x007\0 A\x006\0  \0)\x007\0   ¾‚€€\0! A6\b £‚€€\0\f\v (\f! \0(\f! (\0!@@@@ \0(\0"\0\v  (\0"\bI\r  \bk!\v  6\0A! A6\0 A6\b Aj!\f\v  6\0A\0! A\x006\b \0(\0AH\r\0A\0!@  (\0 k"Aÿÿÿÿ\0q6\0 Aj! Aj! Av! Aj" \0(\0H\r\0\v\v@  k"AH\r\0 Aj!@ A\x006\0 Aj! Aj"AK\r\0\v\v £‚€€\0A\0!\v Aj$€€€€\0 \v\v…µ\0#\vý´src/print.rs\0BitRel indices out of boundsbyte read out of bufferword read out of bufferadvance out of bufferpeek_future_continuation: Continuation table not allocatedpeek_future_continuation: Continuation index not in tablepeek_future_continuation: Continuation index out of rangeinvalid type argumentvariant or record tag out of orderskip_any: byte tag not 0 or 1skip_any: recursive recordskip_any: variant tag too largeskip_any: skipping referencesskip_any: encountered emptyskip_any: unknown primskip_any: too deeply nested recordsub: unexpected alias\0\0\0\0\0\0–0w,aîºQ\t™Ämôjp5¥c飕dž2ˆÛ¤¸ÜyéÕàˆÙҗ+L¶\t½|±~-¸ç‘¿d·ò °jHq¹óÞA¾„}ÔÚëäÝmQµÔôDžӃV˜lÀ¨kdzùbýìÉeŠO\\Ùlcc=úõ\r\bÈ n;^iLäA`Õrqg¢Ñäjm\r¨Zjz\vÏäÿ\t“\'®\0\n±ž}D“ðÒ£\b‡hòþÂi]Wb÷Ëge€q6lçknvÔþà+ӉZzÚÌJÝgoß¹ùùﾎC¾·Վ°`è£ÖÖ~“Ñ¡ÄÂØ8RòßOñg»ÑgW¼¦Ýµ?K6²HÚ+\rØL\n¯öJ6`zAÃï`ßUßg¨ïŽn1y¾iFŒ³a˃f¼ Òo%6âhR•w\fÌG\v»¹"/&U¾;ºÅ(\v½²’Z´+j³\\§ÿ×Â1Ïе‹žÙ,®Þ[°Âd›&òc윣ju\n“m©\tœ?6ë…grW\0‚J¿•z¸â®+±{8¶\f›ŽÒ’\r¾Õå·ïÜ|!ßÛ\vÔÒӆBâÔñø³ÝhnƒÚ;[&¹öáw°owG·æZ\bˆpjÿÊ;f\\\vÿžei®bøÓÿkaEÏlxâ\n îÒ\r×TƒN³9a&g§÷`ÐMGiIÛwn>JjÑ®ÜZÖÙf\vß@ð;Ø7S®¼©Åž»ÞϲGéÿµ0ò½½ŠÂºÊ0“³S¦£´$6к“×Í)WÞT¿gÙ#.zf³¸JaÄh]”+o*7¾\v´¡Ž\fÃßZï-ABCDEFGHIJKLMNOPQRSTUVWXYZ234567accum_base32: Base32 symbol out of rangeRegion error: StableMemory range out of boundsrange overflowoffset out of boundsMOREGIONcannot recover un-allocated regionmigration failure (insufficient pages)migration failure (too many pages for region0 )migration failure (base too low)migration failure (unexpected block size)migration failure (unexpected higher version)migration failure (bad magic bytes)alloc_text_blob: Text too largeobject_size: forwarding pointerobject_size: invalid object tagutf8_validate: string is not UTF-8IDL error: RTS error: remember_continuation: Argument is not a skewed pointerrecall_continuation: Continuation table not allocatedrecall_continuation: Continuation index not in tablerecall_continuation: Continuation index out of range\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0 \0\0ðCannot grow memoryservice method arg not a constructor typeservice method arg not a function typeservice method names out of orderfunc annotation not within 1..3primitive type in type tableillegal type tabletoo many typesmissing magic bytesempty input. 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A\0H\r\0A\0! \b!A\0!@  O\r/ -\0\0!\b@ AG\r\0 \bAø\0q"\tAø\0F\r\0 \t\rH\v Aj! \bAÿ\0q t r! Aj! \bÀAL\r\0\v A\0A\0A t \bAÀ\0I AKr" F\r\b \0   ݀€€\0 \vAj"\v \nG\r\0\fH\v\v  O\r"A\0!A\0!@ -\0\0!\b@ AG\r\0 \bAÿqAK\rF\v \bAÿ\0q t r!@ \bÀAJ\r\0 Aj! Aj" F\r$\f\v\v \0(\0\0" O\r# Aj!A\0!A\0!@ -\0\0!\b \0 Aj"\t6\0\0@ AG\r\0 \bAÿqAK\rF\v \bAÿ\0q t r!@ \bÀAJ\r\0 Aj! \t! \t F\r%\f\v\v  O\r@ E\r\0A\0!@ Aj!@  O\r2 ,\0\0!\b Aj"! \bA\0H\r\0\v@  O\r3 ,\0\0!\b Aj"! \bAL\r\0\v  G\r\0\v\v@  O\r. ,\0\0!\b Aj"! \bA\0H\r\0\vA\0!A\0!@  O\r/ -\0\0!\b@ AG\r\0 \bAø\0q"\tAø\0F\r\0 \t\rF\v Aj! \bAÿ\0q t r! Aj! \bÀAL\r\0\v A\0A\0A t \bAÀ\0I AKr!\f\v \0(\0\0" O\r# -\0\0! \0 Aj"\b6\0\0 AO\r$ \r#€€€\0A¥ƒ€€\0jAº€€€\0\0\v \0(\0\0" O\r$ -\0\0! \0 Aj"\b6\0\0 AO\r% \r#€€€\0A¥ƒ€€\0jAº€€€\0\0\vA\0!A\0!@  O\r& -\0\0!\b@ AG\r\0 \bAø\0q"\tAø\0F\r\0 \t\rC\v Aj! \bAÿ\0q t r! 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Aj" I\r\0\v\v#€€€\0"Aؗ‚€\0j" \b6\0 A”˜‚€\0j(\0" M\r\0#€€€\0! \bAqE\r\0 \bAj I\r\0 A˜‚€\0j(\0#€€€\0Aؗ‚€\0jK\r\0#€€€\0A„˜‚€\0j-\0\0E\r#€€€\0Aؗ‚€\0jր€€\0\v \0AF\r \0AqE\r#€€€\0"Aà—‚€\0j" Aؗ‚€\0j(\0 (\0"AtjA\tj"(\0Av6\0  \x006\0@  A”˜‚€\0j(\0"O\r\0#€€€\0!\t \0Aj I\r\0  \tA˜‚€\0j(\0I\r\0#€€€\0A„˜‚€\0j-\0\0E\r ր€€\0\v#€€€\0Aܗ‚€\0j" (\0Aj6\0 \v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0Añ€€\0jA7–€€€\0\v\0\vÂ~@@@ A€€€O\r\0@€€€€\0"­ AtA\bj­|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r Bÿÿ|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0 Aj 6\0 Aj \x006\0 \v\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\vÑ@@@#€€€\0Aؗ‚€\0j(\0"E\r\0 \0 Aj(\0O\r Aj \0AtjA\bj"(\0! #€€€\0"Aà—‚€\0j"(\0At6\0  \x006\0 Aܗ‚€\0j"\0 \0(\0Aj6\0 AF\r AqE\r \v#€€€\0A¨‘€€\0jA5–€€€\0\0\v#€€€\0A‘’€€\0jA4–€€€\0\0\v#€€€\0Aݑ€€\0jA4–€€€\0\0\vä~#€€€€\0A°k"$€€€€\0  \x009\bB€€€€À\f Av­B † Aÿÿÿ§K!@@@@@@ Av\0\v@AÀE"\r\0 AðjA\0AÀü\v\0\v BÀ7Ô  Aðj6Ð A6$ #€€€\0"AВ€€\0j6 A6  AȒ€€\0j6 A6  7è #„€€€\0­B † A\bj­„7à  Aàj6 AÐj A¬—‚€\0j Ajö€€\0 \r Aj AðjAÀü\n\0\0\f\v@AÀE"\r\0 AðjA\0AÀü\v\0\v BÀ7Ô  Aðj6Ð A6$ #€€€\0"AВ€€\0j6 A6  AȒ€€\0j6 A6  7è #…€€€\0­B † A\bj­„7à  Aàj6 AÐj A¬—‚€\0j Ajö€€\0 \r Aj AðjAÀü\n\0\0\f\v@AÀE"\r\0 AðjA\0AÀü\v\0\v BÀ7Ô  Aðj6Ð A6$ #€€€\0"AВ€€\0j6 A6  AȒ€€\0j6 A6  7è #„€€€\0­B † A\bj­„7à  Aàj6 AÐj A¬—‚€\0j Ajö€€\0 \r Aj AðjAÀü\n\0\0\f\v\0\v@AÀE"\r\0 AðjA\0AÀü\v\0\v BÀ7ä  Aðj6à A6 #€€€\0"AȒ€€\0j6 B7 #„€€€\0­B † A\bj­„7Ð  AÐj6 Aàj A¬—‚€\0j Ajö€€\0 \r\0 Aj AðjAÀü\n\0\0\vA\0!A!@@@@ ! Aj j"A~j-\0\0E\r Aj-\0\0E\r AÀF\r Aj! Aj! -\0\0\r\0\v Aj!\f\v Aj!\f\v A~j!\vA ׀€€\0!@ E\r\0 A\tj Aj ü\n\0\0\v A°j$€€€€\0 \vÿ~@@@ (\0Aj"(\0A!F\r\0 þ€€€\0!@€€€€\0"­ At"­|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r Bÿÿ|Bˆ§"?\0"\bM\r\0  \bk@\0AF\r\v §‚€€€\0 Aj!@ E\r\0   ü\n\0\0\v  \0 Asj j"6 A!6\0  6\0\v  (6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\vö@@@@@@@@@@@@ Aj"(\0"Aj3\0\b\t\b\t\b\t\b\t\b\n\b\n\b\n\b\b\b\b\b\n\b\n\b\n\b\n\b\n\b\n\b\b\b\n\b\n\b\n\b\b\n\b\n\b\v ("E\r\t A\fj! A\fj!@@ (\0"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  €€\0\v Aj! Aj! Aj"\r\0\f\n\v\v#€€€\0A¾–€€\0jA3–€€€\0\0\v@ (\b"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  A\bj€€\0\v (\f"Aj \0I\r AF\r AqE\r \0  A\fj€€\0\v ("Aj \0I\r AF\r AqE\r \0  Aj€€\0\v (\b"Aj \0I\r AF\r AqE\r \0  A\bj€€\0\v ("Aj \0I\r AF\r AqE\r \0  Aj€€\0\v (\b"E\r A\fj! A\fj!@@ (\0"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  €€\0\v Aj! Aj! Aj"\r\0\f\v\v ("Aj \0I\r AF\r AqE\r \0  Aj€€\0\v A3M\r\v Aj(\0" AÿÿÿÿqA\0 A3K"M\r\0  k!  AtjA\bj"!@@ (\0"Aj \0I\r\0 AF\r\0 AqE\r\0 \0  €€\0\v Aj! Aj! Aj"\r\0\v\v\v#€€€\0Añ–€€\0jA*–€€€\0\0\vÕ~@@@@#€€€\0"A€˜‚€\0j(\0" Aü—‚€\0j(\0G\r\0@#€€€\0Aô—‚€\0j(\0(Aj"A|q­€€€€\0"­|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r Bÿÿ|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0#€€€\0Aü—‚€\0j(\0 AjG\r#€€€\0"Aô—‚€\0j(\0 AtAxq"6 Aü—‚€\0j Aø—‚€\0j(\0 j6\0 A€˜‚€\0j(\0!\v  \x006\0#€€€\0A€˜‚€\0j Aj6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\v\0\vÖ~@@@€€€€\0"\0­"BˆÀ\0|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r B‡À|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0 \0Aj"B™€€€€€\b7\0A€@!@  j"\0A À\0jB\x007\0 \0A˜À\0jB\x007\0 \0AÀ\0jB\x007\0 \0AˆÀ\0jB\x007\0 A j"\r\0\v#€€€\0"\0Aˆ˜‚€\0j 6\0 \0A„˜‚€\0jA:\0\0 \0AŒ˜‚€\0jA\x006\0€€€\0! \0A”˜‚€\0j \0Aʂ€\0j(\x006\0 \0A˜‚€\0j AjA`q6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v­@@ (\0Aj" \0AA\b \0-\0 "j(\0I\r\0 Aq\r\0@#€€€\0Aœ˜‚€\0j(\0 Avj"-\0\0"A AvAqt"q\r\0   r:\0\0 ’€€\0 þ€€€\0! \0 \0( Atj6\v E\r \0( K\r \0(\b" M\r (\0"\0AqE\r \0Aj I\r#€€€\0A„˜‚€\0j-\0\0E\r\0#€€€\0Aˆ˜‚€\0j(\0" (AvAj AvqAtjA\bj"\0(\0"E\r\0  F\r@ \0("E\r A\bj!\0 (\b F\r\f\0\v\v\0\v\v¿~@@@#€€€\0"A°˜‚€\0j(\0" A¬˜‚€\0j(\0G\r\0@#€€€\0A¤˜‚€\0j(\0(Aj"A|q­€€€€\0­|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r Bÿÿ|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0#€€€\0"A¤˜‚€\0j(\0 AtAxq"6 A¬˜‚€\0j A¨˜‚€\0j(\0 j6\0 A°˜‚€\0j(\0!\v  \x006\0  6#€€€\0A°˜‚€\0j A\bj6\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v-#€€€\0Aʂ€\0j€€€\0AjA`q"\x006\0 \0Aj‚€€€\0\v¤$#€€€€\0Ak"$€€€€\0@@@@@@@@@ (\0\0" (\0"\bF\r\0@ Aj"\t \bK\r\0 (\0\0!\n  \t6\0\0 \nAĒ‘âG\r \t \bO\r Aj!A\0!\vA\0!\t@ Aj-\0\0!\n  6\0\0@ \tAG\r\0 \nAÿqAK\r\t\v \nAÿ\0q \tt \vr!\v@ \nÀAJ\r\0 \tAj!\t  \bG!\n Aj! \nE\r\f\v\v  \vj \bO\r  \v6\0A \vAt׀€€\0! \0\r (\0\0 j"\t (\0"O\r  \t6\0\f\v#€€€\0AÀ€€€\0jAº€€€\0\0\v#€€€\0AƔ€€\0jAÒ\0º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A³”€€\0jAº€€€\0\0\v#€€€\0A¥”€€\0jAº€€€\0\0\v (\0!\v A\tj!\f@@@ \vE\r\0A!A\0!\r@@@@@@ \r!\t !\r \f \tAtj (\0\x006\0 (\0\0!\n (\0!A\0!\tA\0!@@@@@@@@@@@@@@@@@@ \n"\n O\r \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v A\0A\0A \tt \bAÀ\0I \tAKr!\t@@ \0E\r\0 \tAG\r\0A\0!\tA\0!@ \n"\n O\r \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v A\0A\0A \tt \bAÀ\0I \tAKr"AJ\r AnK\r A€F\r AhF\r\f\v \tAJ\r \tAnK\r \tAhF\r@@@@@ \0E\r\0 \tAj\v \tAj\0\vA\0!\tA\0!@ \n"\n O\r\b \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r \v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v@ A\0A\0A \tt \bAÀ\0I \tAKr"AJ\r\0 AnK\r AhF\r \0 A€Fq\r\f\v  \vO\r\f\vA\0!\tA\0!@ \n"\n O\r\b \n-\0\0!\b  \nAj"\n6\0\0@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v@ A\0A\0A \tt \bAÀ\0I \tAKr"AJ\r\0 AnK\r AhF\r \0 A€Fq\r\f\v  \vO\r\f\v \0  \vڀ€€\0\f\v \n O\rA\0!A\0!\t@ \n-\0\0!\b  \nAj"6\0\0@ \tAG\r\0 \bAÿqAK\r\v \bAÿ\0q \tt r!@ \bÀA\0N\r\0 \tAj!\t !\n  F\r\b\f\v\v \nAj!\b@ E\r\0A!@A\0!\tA\0!@ \b"\b O\r\n \b-\0\0!\n  \bAj"\b6\0\0@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\v \nAÿ\0q \tt r! \tAj!\t \nÀAL\r\0\v@@ A\0A\0A \tt \nAÀ\0I \tAKr"\tAJ\r\0 \tAnK\r \tAhF\r \0 \tA€Fq\r\f\v \t \vO\r\v   I"\tj! \t\r\0\v\v \b O\r\bA\0!A\0!\t@ \b-\0\0!\n  \bAj"6\0\0@ \tAG\r\0 \nAÿqAK\r\v \nAÿ\0q \tt r!@ \nÀA\0N\r\0 \tAj!\t !\b  F\r\n\f\v\v \bAj!\b@ E\r\0A!@A\0!\tA\0!@ \b"\b O\r\f \b-\0\0!\n  \bAj"\b6\0\0@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\v \nAÿ\0q \tt r! \tAj!\t \nÀAL\r\0\v@@ A\0A\0A \tt \nAÀ\0I \tAKr"\tAJ\r\0 \tAnK\r \tAhF\r \0 \tA€Fq\r\f\v \t \vO\r\v   I"\tj! \t\r\0\v\v \b O\r\nA\0!A\0!\t@ \b-\0\0!\n  \bAj"6\0\0@ \tAG\r\0 \nAÿqAK\r\v \nAÿ\0q \tt r!@ \nÀA\0N\r\0 \tAj!\t !\b  F\r\f\f\v\vA\0!\t@  \tF\r \b \tj"\nAj" O\r\f -\0\0!  \nAj6\0\0 \tAj!\t AjAÿqAI\r\0\v#€€€\0Aؓ€€\0jAº€€€\0\0\v  \vO\r\f\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A“”€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\f\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v@@ \n O\r\0A\0!A\0!\t@ \n-\0\0!\b  \nAj"6\0\0@ \tAG\r\0 \bAÿqAK\r\v \bAÿ\0q \tt r!@ \bÀA\0N\r\0 \tAj!\t !\n  F\r\f\v\v E\r \nAj!\tA\0!A!A\0!@ ! !@@@@ \t O\r\0A\0!A\0!\n@ \t-\0\0!\b  \tAj"6\0\0@ \nAG\r\0 \bAÿqAK\r\v \bAÿ\0q \nt r!@ \bÀAJ\r\0 \nAj!\n !\t  F\r\f\v\v \tAj" j"\t K\r  \t6\0\0 Aj  ÷€€\0 (\r E\r@      IŒ‚€€\0"A\0J\r\0  I\r \r\v#€€€\0A·“€€\0jA!º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A׀€€\0jAº€€€\0\0\v#€€€\0A¹€€\0jA"–€€€\0\0\v (\0\0!\t (\0!A\0!\nA\0!@@ \t"\t O\r \t-\0\0!\b  \tAj"\t6\0\0@ \nAG\r\0 \bAø\0q"Aø\0F\r\0 \r\v \bAÿ\0q \nt r! \nAj!\n \bÀAL\r\0\v@@ A\0A\0A \nt \bAÀ\0I \nAKr"\nAJ\r\0 \nAnK\r \nAhF\r \0 \nA€Fq\r\f\v \n \vO\r\v   I"\nj! \n\r\f\v\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v \tA€F\r\b\v \n O\rA\0!A\0!\t@ \n-\0\0!\b  \nAj"6\0\0@ \tAG\r\0 \bAÿqAK\r\r\v \bAÿ\0q \tt r!@ \bÀAJ\r\0 \tAj!\t !\n  F\r\f\v\v \n jAj"\t K\r  \t6\0\0\v \r \r \vI"\tj! \tE\r\b\f\v\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A׀€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A÷“€€\0jAº€€€\0\0\v  6\0\f\v  6\0A!A\0!@ !\t ! \f \tAtj(\0!A\0!\tA\0!\b@@@@@@@@@  O\r -\0\0!\n@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\f\v Aj! \nAÿ\0q \tt \br!\b \tAj!\t \nÀAL\r\0\v \bA\0A\0A \tt \nAÀ\0I \tAKrAiG\r  O\rA\0!A\0!\t@ -\0\0!\n@ \tAG\r\0 \nAÿqAK\r\f\v \nAÿ\0q \tt r!@ \nÀA\0N\r\0 \tAj!\t Aj" F\r\f\v\v Aj!A\0!@  O\r\b  O\r   Ij!A\0!\bA\0!\t@ -\0\0!\n@ \tAG\r\0 \nAÿqAK\r\r\v \nAÿ\0q \tt \br!\b@ \nÀAJ\r\0 \tAj!\t Aj" F\r\f\v\v  \bjAj" K\rA\0!\tA\0!\b@  O\r -\0\0!\n@ \tAG\r\0 \nAø\0q"Aø\0F\r\0 \r\r\v Aj! \nAÿ\0q \tt \br!\b \tAj!\t \nÀAL\r\0\v \bA\0A\0A \tt \nAÀ\0I \tAKr"\tA\0H\r \t \vO\r \f \tAtj(\0!\nA\0!\tA\0!@ \n O\r\b \n-\0\0!\b@ \tAG\r\0 \bAø\0q"Aø\0F\r\0 \r\r\v \nAj!\n \bAÿ\0q \tt r! \tAj!\t \bÀAL\r\0\v A\0A\0A \tt \bAÀ\0I \tAKrAjF\r\0\v#€€€\0A‘“€€\0jA&º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A׀€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A蒀€\0jA)º€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v   \vI"\tj! \t\r\0\v\v  (\0\x006\0@@ (\0\0"\n (\0"O\r\0A\0!A\0!@ \n-\0\0!\t  \nAj"\b6\0\0@ AG\r\0 \tAÿqAK\r\v \tAÿ\0q t r!@ \tÀA\0N\r\0 Aj! \b!\n \b F\r\f\v\v@ E\r\0 \nAj!\nA!@A\0!A\0!\b@ \n"\n O\r \n-\0\0!\t  \nAj"\n6\0\0@ AG\r\0 \tAø\0q"Aø\0F\r\0 \r\v \tAÿ\0q t \br!\b Aj! \tÀAL\r\0\v@@ \bA\0A\0A t \tAÀ\0I AKr"AJ\r\0 AnK\r AhF\r \0 A€Fq\r\f\v  \vO\r\v   I"j! \r\0\v\v  \f6\0 Aj$€€€€\0\v#€€€\0A©€€€\0jAº€€€\0\0\v#€€€\0A©€€€\0jAº€€€\0\0\v\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v#€€€\0A˜‚€€\0jAº€€€\0\0\v\0#€€€\0A¸˜‚€\0j)\0\v8#€€€\0!\0€€€€\0!€€€\0! \0A¸˜‚€\0j)\0  AjA`qkAj­|\v\0€€€€\0€€€\0AjA`qkAj\v\0#€€€\0AÀ˜‚€\0j(\0\v\f\0 \0 ׀€€\0\v\f\0 \0 €€\0\v \tA \0退€\0"\0Aj(\0"AjAnAl׀€€\0"Aj! A\tj"!@ E\r\0 \0AjA\bj!A\0! !A\0!\0@ "\b  \0j-\0\0"A r  A¿jAÿqAI:\0\0 \bAj! Aj"Ao!\t@ \0Aj"\0 O\r\0 \t\r\0 \bA-:\0 \bAj!A\0!\v  \0G\r\0\v\v@@ (AjAv"  k"\bAjAv"\0k"AG\r\0  \0AtjA16\0\f\v  \0F\r\0  \0Atj"\0 A~j6 \0A36\0\v Aj \b6\0 \v±\n@@@ \0Aj"(\0AF\r\0 ("A€€€€O\r \0A ׀€€\0"A\tjö€€€\0 Aj!\vA ("AjAvAl׀€€\0"A\tj"! E\r A\bj!A\0!\bA\0!\0A\0! !@@@@ -\0\0"\tAú\0K\r\0@ \tASj\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\0\v@ \tA¿jAÿqAI\r\0@ \tAà\0K\r\0 \tAijA\0 \tANjAÿqAI!\t\f\v \tA j!\t\f\v \tA@j!\t\f\v#€€€\0Ǎ€€\0jA(–€€€\0\0\v \tAjAÿq"\tA O\r\0 At \tr! \0Aj!\t@ \0AO\r\0 \t!\0\f\v \t!\0@   \0Axj"\0v:\0\0 Aj! A \0tAsq! \0AK\r\0\v\v Aj! \bAj"\b G\r\0\f\v\v#€€€\0A܏€€\0jA–€€€\0\0\v@@ Aj"(AjAv"  k"\0AjAv"k"\tAG\r\0  AtjA16\0\f\v  F\r\0  Atj" \tA~j6 A36\0\v  \x006@@ \0AI\r\0A \0A|j"\0׀€€\0!@ \0E\r\0 A\tj A\fj \0ü\n\0\0\vA 退€\0"Aj(\0"\tAjAnAl׀€€\0"\0Aj!\n \0A\tj"!@ \tE\r\0 AjA\bj!A\0! !A\0!\0@ "  \0j-\0\0"A r  A¿jAÿqAI:\0\0 Aj! Aj"Ao!\b@ \0Aj"\0 \tO\r\0 \b\r\0 A-:\0 Aj!A\0!\v \t \0G\r\0\v\v@@ \n(AjAv"  k"\0AjAv"k"AG\r\0  AtjA16\0\f\v  F\r\0  Atj" A~j6 A36\0\v \n \x006 A\bj  \0 (" \0 IŒ‚€€\0!  \0G\r \r \v#€€€\0AΕ€€\0jA&–€€€\0\0\v#€€€\0Aª•€€\0jA$–€€€\0\0\v\0 \0  ð€€€\0\v– \0Aj" 6\0 \0A\rj 6\0 \0Aj >\0 \0A\tj B ˆ>\0@@#€€€\0A”˜‚€\0j(\0"\0 M\r\0#€€€\0! AqE\r\0 Aj \0I\r\0 A˜‚€\0j(\0 K\r\0#€€€\0A„˜‚€\0j-\0\0E\r ր€€\0\v\v\0\v\n\0 \0Aj)\0\v\n\0 \0A\rj(\0\v\n\0 \0Aj(\0\v\0#€€€\0A𗂀\0j(\0\v\b\0ò€€€\0\v¦~#€€€€\0Ak"$€€€€\0Š€€€\0!‡€€€\0!@@@@@@@@@ \0\v BX\r B\x007\0 ­B\0B\b‰€€€\0 )\0B͞ɪô¨Ò§Î\0R\r A\x006\b A\bj­"B\bB‰€€€\0 (\bAK\r A\0;\b B\fB‰€€€\0 /\bA€G\r B\x007\b BB\b‰€€€\0 )\b"B¢€T\r#€€€\0"A藂€\0j 7\0 A𗂀\0j€\x006\0 B\x007\b BB\b‰€€€\0 )\bBV\r\f\v PE\r \0E\rñ€€€\0\f\v P\r \0E\r\0󀀀\0\v Aj$€€€€\0\v#€€€\0A¹€€\0jA#ꀀ€\0\0\v#€€€\0AŒ€€\0jA-ꀀ€\0\0\v#€€€\0A㎀€\0jA)ꀀ€\0\0\v#€€€\0A΀€\0jA ꀀ€\0\0\v\0\v\n\0 \0A\rj5\0\vë\t~~~~#€€€€\0Ak"$€€€€\0B!@@ A€€€ \0A\rj(\0"k­V\r\0 A\x006\b A\bj­"BB‰€€€\0 (\b!#€€€\0!‡€€€\0!\b@ A藂€\0j)\0Bˆ ­ Aÿ\0j"\t §"\njAv"\v \tAv"k­|"B†|"\f \bX\r\0B! \f \b}‹€€€\0BQ\r\v  >\bB Bˆ€€€\0 \0Aj"\r \r(\f \nj"\x006\f@ \tA€I\r\0 \r( Aj"\tAÿÿq"\nAtjA\tj3\0!  \r)B|7\b B\v~"B"| B\bˆ€€€\0  \t;\b B*| Bˆ€€€\0  \0 \vAj"\tAtkA€ \t \nF:\0\b B,| Bˆ€€€\0\vA \vAt׀€€\0!@ At"\0E\r\0 A\tj \r(A\tj \0ü\n\0\0\v \rAj! Aj!@ \v M\r\0 \vAj"\nAt! At jA\bj!\0@A€!\t@ Aÿÿq \nG\r\0 \r(\f k!\t\v  \r)B|7\b AÿÿqA\vl­"B"| B\bˆ€€€\0  ;\b B*| Bˆ€€€\0  \t:\0\b B,| Bˆ€€€\0 \0 ;\0 Aj! \0Aj!\0 Aj"\t! \v \tG\r\0\v\v  6\0@#€€€\0A”˜‚€\0j(\0" M\r\0#€€€\0! AqE\r\0  I\r\0 A˜‚€\0j(\0 K\r\0#€€€\0A„˜‚€\0j-\0\0E\r ր€€\0\v ­!\v Aj$€€€€\0 \v\0\vA#€€€€\0Ak"$€€€€\0 A\0:\0 \0  AjAô€€€\0 -\0!\0 Aj$€€€€\0 \0\vA#€€€€\0Ak"$€€€€\0 A\0; \0  AjAô€€€\0 /!\0 Aj$€€€€\0 \0\vA#€€€€\0Ak"$€€€€\0 A\x006\f \0  A\fjAô€€€\0 (\f!\0 Aj$€€€€\0 \0\vA#€€€€\0Ak"$€€€€\0 B\x007\b \0  A\bjA\bô€€€\0 )\b! Aj$€€€€\0 \vC|#€€€€\0Ak"$€€€€\0 B\x007\b \0  A\bjA\bô€€€\0 +\b! Aj$€€€€\0 \vyA ׀€€\0"Aj!@@ AÿÿÿÿI\r\0 Av"AÿÿÿÿF\r \0  A\bj" ô€€€\0 \0  ­|  j  kô€€€\0 \v \0  A\bj ô€€€\0 \v\0\v8#€€€€\0Ak"$€€€€\0  :\0 \0  AjAõ€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  ; \0  AjAõ€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  6\f \0  A\fjAõ€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  7\b \0  A\bjA\bõ€€€\0 Aj$€€€€\0\v8#€€€€\0Ak"$€€€€\0  9\b \0  A\bjA\bõ€€€\0 Aj$€€€€\0\vk A\tj!@@ Aj(\0"AÿÿÿÿI\r\0 Av"AÿÿÿÿF\r \0   õ€€€\0 \0  ­|  j  kõ€€€\0\v \0   õ€€€\0\v\0\v\0\0\v#~ \0)\b" ­ ­"ˆ€€€\0 \0  |7\b\vL \0 > \0 §"6\b \0 B ˆ> \0 6 \0#‚€€€\0A‚€€€\0j6 \0 B ˆ§"6 \0 6\f\v˜ \0($!@@@ AI\r\0 \0)B\0R\r\v  j" \0(M\r\v@ A!I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0 \0A 6$\v \0   \0( €€€€\0€€€€\0\v \0 6$@ E\r\0 \0 jA\bj  ü\n\0\0\v\v[@ \0($"A!I\r\0  \0(I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0A ! \0A 6$\v \0 j :\0\b \0 \0($Aj6$\vR@ \0($"A!I\r\0  j \0(M\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0A !\v \0  j6$ \0 jA\bj\v@ \0(" \0($"M\r\0@@ AjAv" AjAv"k"AG\r\0 \0 AtjA16\b\f\v  F\r\0 \0 Atj" A~j6\f A36\b\v \0($!\v \0A6 \0A6 \0 A`j6$ \0Aj\v6@ \0($"A!I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0 \0A 6$\v\vL@ A€€€€O\r\0A ׀€€\0!@ E\r\0 A\tj \0 ü\n\0\0\v \v#€€€\0A܏€€\0jA–€€€\0\0\vÚ~@ \0Aj(\0"\r\0 \v@ Aj(\0"\r\0 \0\v@@@@  j"A\tI\r\0 AÿÿÿÿK\r@€€€€\0"­"B|"?\0­B†X\r\0 B€€üÿB€€üÿ€€€\0V\r B€|Bˆ§"?\0"M\r\0  k@\0AF\r\v §‚€€€\0 A\rj 6\0 A\tj \x006\0 Aj 6\0 AjA%6\0 \vA ׀€€\0"A\tj!@ E\r\0  \0A\tj ü\n\0\0\v@ E\r\0  j A\tj ü\n\0\0\v \v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A˜•€€\0jA–€€€\0\0\v#€€€\0A‚–€€\0jA–€€€\0\0\vÖ@@@ Aj"(\0Agj\0\0\v \0 (\bÀ€€\0 (\f!\f\0\v\v A\bj! \0($!@@@ ("AI\r\0 \0)B\0R\r\v  j" \0(M\r\v@ A!I\r\0 \0 \0A(j A`j \0( €€€€\0€€€€\0 \0A 6$\v \0   \0( €€€€\0€€€€\0\v \0 6$@ E\r\0 \0 jA\bj  ü\n\0\0\v\v]@ \0Aj(\0AG\r\0 \0\v@ \0Aj(\0"A€€€€O\r\0 \0A ׀€€\0"A\tjö€€€\0 \v#€€€\0A܏€€\0jA–€€€\0\0\v–#€€€€\0Ak"$€€€€\0 A\x006\f@@@ \0A€I\r\0 \0A€I\r@ \0A€€I\r\0  \0A?qA€r:\0  \0AvAðr:\0\f  \0AvA?qA€r:\0  \0A\fvA?qA€r:\0\rA!\0\f\v  \0A?qA€r:\0  \0A\fvAàr:\0\f  \0AvA?qA€r:\0\rA!\0\f\v  \0:\0\fA!\0\f\v  \0A?qA€r:\0\r  \0AvAÀr:\0\fA!\0\vA \0׀€€\0!@ \0E\r\0 A\tj A\fj \0ü\n\0\0\v Aj$€€€€\0 \vè\b#€€€€\0Ak"$€€€€\0@@ \0Aj"(\0AF\r\0 ("A€€€€O\r \0A ׀€€\0"A\tjö€€€\0 Aj!\v Aj A\bj (쁀€\0 (\b!A (\f"׀€€\0!@ E\r\0 Aj! 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(!@@ (\b"\r\0 A\bI\r\0 Aj!\0 AvAj!\nA\0!@ \0! \n F\r A\bj!\0 Aj! (\0E\r\0\f\v\v E\rA\0! !\v A\bj!@@ (\0(\0"\0AqE\r\0 \0Aj"\0 I\r\0 \0Aq\r#€€€\0Aœ˜‚€\0j(\0 \0Avj"\n-\0\0"A \0AvAqt"q\r\0 \n  r:\0\0 \0’€€\0 \0þ€€€\0At \rj!\r (!\v ("\0A\bjA\0 \0!@@  Av"\nF\r\0 \0\r\0 \n Aj" \n KAj!\n  Atj!\0@ \0! \n F\r A\bj!\0 Aj! 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Aj! Aj"\r\0\v \n!\v  6  6\f  6\b\f\v  6  6\f  6\b  j!\v@@@ ,\0\0"\bAL\r\0 Aj! \bAÿq!\b\f\v -\0A?q! \bAq!\t@ \bA_K\r\0 \tAt r!\b Aj!\f\v At -\0A?qr!@ \bApO\r\0  \tA\ftr!\b Aj!\f\v At -\0A?qr \tAtA€€ð\0qr!\b Aj!\v Aj \bŠ‚€€\0@@@@@@@@ ("\b\r\0@@ ("\bA€I"\nE\r\0A!\f\v@ \bA€O\r\0A!\f\vAA \bA€€I!\v !\t@  (\b kM\r\0 A\bj  끀€\0 (\f! (!\t\v  \tj!\t@ \n\r\0 \bA€I\r@ \bA€€I\r\0 \t \bA?qA€r:\0 \t \bAvAðr:\0\0 \t \bAvA?qA€r:\0 \t \bA\fvA?qA€r:\0\f\b\v \t \bA?qA€r:\0 \t \bA\fvAàr:\0\0 \t \bAvA?qA€r:\0\f\v \t \b:\0\0\f\v (! ("\tE\r@@ A€I"\rE\r\0A!\n\f\v@ A€O\r\0A!\n\f\vAA A€€I!\n\v !\f@ \n (\b kM\r\0 A\bj  \n끀€\0 (\f! (!\f\v  \fj! \r\r A€I\r@ A€€I\r\0  A?qA€r:\0  AvAðr:\0\0  AvA?qA€r:\0  A\fvA?qA€r:\0\f\v  A?qA€r:\0  A\fvAàr:\0\0  AvA?qA€r:\0\f\v \t \bA?qA€r:\0 \t \bAvAÀr:\0\0\f\v  :\0\0\f\v  A?qA€r:\0  AvAÀr:\0\0\v  \n j"6@@ \bA€I"\fE\r\0A!\f\v@ \bA€O\r\0A!\f\vAA \bA€€I!\v !\n@  (\b kM\r\0 A\bj  끀€\0 (!\n\v (\f" \nj!\n@@@ \f\r\0 \bA€I\r@ \bA€€I\r\0 \n \bA?qA€r:\0 \n \bAvAðr:\0\0 \n \bAvA?qA€r:\0 \n \bA\fvA?qA€r:\0\f\v \n \bA?qA€r:\0 \n \bA\fvAàr:\0\0 \n \bAvA?qA€r:\0\f\v \n \b:\0\0\f\v \n \bA?qA€r:\0 \n \bAvAÀr:\0\0\v   j"\b6@@ \tA€I"\nE\r\0A!\f\v@ \tA€O\r\0A!\f\vAA \tA€€I!\v \b!@  (\b \bkM\r\0 A\bj \b 끀€\0 (\f! (!\v  j!@@ \n\r\0 \tA€I\r@ \tA€€I\r\0  \tA?qA€r:\0  \tAvAðr:\0\0  \tAvA?qA€r:\0  \tA\fvA?qA€r:\0  \bj!\f\v  \tA?qA€r:\0  \tA\fvAàr:\0\0  \tAvA?qA€r:\0  \bj!\f\v  \t:\0\0  \bj!\f\v  \tA?qA€r:\0  \tAvAÀr:\0\0  \bj!\f\v@@ A€I"\fE\r\0A!\t\f\v@ A€O\r\0A!\t\f\vAA A€€I!\t\v !\n@ \t (\b kM\r\0 A\bj  \t끀€\0 (\f! (!\n\v  \nj!@@@ \f\r\0 A€I\r@ A€€I\r\0  A?qA€r:\0  AvAðr:\0\0  AvA?qA€r:\0  A\fvA?qA€r:\0\f\v  A?qA€r:\0  A\fvAàr:\0\0  AvA?qA€r:\0\f\v  :\0\0\f\v  A?qA€r:\0  AvAÀr:\0\0\v  \t j"6@@ \bA€I"\nE\r\0A!\f\v@ \bA€O\r\0A!\f\vAA \bA€€I!\v !\t@  (\b kM\r\0 A\bj  끀€\0 (!\t\v (\f" \tj!\t@@ \n\r\0 \bA€I\r@ \bA€€I\r\0 \t \bA?qA€r:\0 \t \bAvAðr:\0\0 \t \bAvA?qA€r:\0 \t \bA\fvA?qA€r:\0  j!\f\v \t \bA?qA€r:\0 \t \bA\fvAàr:\0\0 \t \bAvA?qA€r:\0  j!\f\v \t \b:\0\0  j!\f\v \t \bA?qA€r:\0 \t \bAvAÀr:\0\0  j!\f\v  j!\v  6  \vG\r\0\v\v \0 )\b7\0 \0A\bj A\bjA\bj(\x006\0 A j$€€€€\0\v\0\vô\t~@@@ A\bI\r\0 Aq"E\r#€€€\0! \0( "A)O\r@ \r\0 \0A\x006 \f\v AjAÿÿÿÿq"Aj"Aq! AÈ€€\0j Atj(\0 v­!\b@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0 \b~ \t|"\t>\0 Aj" 5\0 \b~ \tB ˆ|"\t>\0 A\bj" 5\0 \b~ \tB ˆ|"\t>\0 A\fj" 5\0 \b~ \tB ˆ|"\n>\0 \nB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \f\v#€€€\0! \0( "A)O\r@ \r\0 \0A\x006  \0\v AÈ€€\0j Atj5\0!\b AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0 \b~ \t|"\t>\0 Aj" 5\0 \b~ \tB ˆ|"\t>\0 A\bj" 5\0 \b~ \tB ˆ|"\t>\0 A\fj" 5\0 \b~ \tB ˆ|"\n>\0 \nB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0 \b~ \t|"\n>\0 Aj! \nB ˆ!\t Aj"\r\0\v\v@ \nB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6  \0\v@ A\bqE\r\0 \0( "A)O\r@@ \r\0A\0!\f\v AjAÿÿÿÿq"Aj"Aq!@@ AO\r\0B\0!\t \0!\f\v Aüÿÿÿq!B\0!\t \0!@  5\0Báë~ \t|"\b>\0 Aj" 5\0Báë~ \bB ˆ|"\b>\0 A\bj" 5\0Báë~ \bB ˆ|"\b>\0 A\fj" 5\0Báë~ \bB ˆ|"\b>\0 \bB ˆ!\t Aj! A|j"\r\0\v\v@ E\r\0@  5\0Báë~ \t|"\b>\0 Aj! \bB ˆ!\t Aj"\r\0\v\v \bB€€€€T\r\0 A(F\r \0 Atj \t§6\0 Aj!\v \0 6 \v@ AqE\r\0 \0#€€€\0Aœ·€€\0jA€\0\v@ A qE\r\0 \0#€€€\0A¤·€€\0jA€\0\v@ AÀ\0qE\r\0 \0#€€€\0A°·€€\0jA€\0\v@ A€qE\r\0 \0#€€€\0AÄ·€€\0jA\n€\0\v@ A€qE\r\0 \0#€€€\0A췀€\0jA€\0\v \0 ð€€\0 \0\v\0\vª\r~~#€€€€\0A k"$€€€€\0@A E\r\0 A\0A ü\v\0\v@@@ \0( " I\r\0 A)O\r  Atj!@ \r\0A\0!A\0!@  F\r Aj! (\0!\b Aj"\t! \bE\r\0  Aj"  K! \t!\f\0\v\v Aj!\n \0 Atj!\vA\0!\b \0 A\0GAtj! AjAÿÿÿÿq!\fA\0!@  \bAtj!\t@ \b!\r \t!  F\r Aj!\t \rAj!\b (\0! Aj"! E\r\0\v ­!B\0!A!\t ! \0!@ ! \b \tjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj!   \vGAtj! ! \f \tAj"\tG\r\0\v !@ B€€€€T\r\0 \r j"A(O\r  Atj §6\0 \n!\v   \rj"  K! !\f\0\v\v A)O\r\0 Aj! Aj!\n AjAÿÿÿÿq!\f  Atj! \0 Atj!\vA\0!\t \0!\bA\0!@  \tAtj!\r@ \t! \r! \b \vF\r Aj!\r Aj!\t \b(\0! \bAj"!\b E\r\0\v ­!B\0!A!\r \n! !@ !\b \t \rjA(O\r   5\0| 5\0 ~|">\0 B ˆ! Aj! \b \b GAtj! \b! \f \rAj"\rG\r\0\v !@ B€€€€T\r\0  j"A(O\r  Atj §6\0 !\v   j"  K! !\b\f\0\v\v\0\v@A E\r\0 \0 A ü\n\0\0\v \0 6  A j$€€€€\0 \0\vÜ\t@@ A€\nO\r\0 Av!@ \0( "E\r\0 Aj! At \0jA|j!  jAt \0jA|j! A)I!@ E\r  jA(O\r  (\x006\0 A|j! A|j! 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AjA?q­!B!@@  ˆP\r\0 \0A\x006\0\f\v  O\r  j B\n~" \nˆ§A0j:\0\0 B\n~!  \rƒ!  Aj"G\r\0\v \0       \f õ€€\0\f\v \0      \v­ \n† | \b­ \n† \fõ€€\0\f\v \0A\x006\0\f\v\0\v \0A\x006\0\v Aj$€€€€\0\vö@@@@  \bX\r\0  \b} \bX\r@@@@  } X\r\0  B†} \bB†Z\r\v  \bV\r\f\v  K\r\f\v   \b}"\b} \bV\r  K\r\0  j!\tA\0!\n !\v@@@  \nF\r \nAj!\n \vAj"\v j"\f-\0\0A9F\r\0\v \f \f-\0\0Aj:\0\0  \nkAj O\r \nAj"\nE\r \fAjA0 \nü\v\0\f\v@@ \r\0A1!\n\f\v A1:\0\0@ AG\r\0A0!\n\f\vA0!\n Aj"\vE\r\0 AjA0 \vü\v\0\v AjÁ!  O\r\0  ÁL\r\0 \t \n:\0\0 Aj!\v  M\r\v\0\v \0A\x006\0\v \0A\x006\0\v \0 ;\b \0 6 \0 6\0\v \0A\x006\0\v±\b#€€€€\0Ak"$€€€€\0  6  \x006\0 B €€€7\b@@@@@ ("E\r\0 ("\0\r\f\v (\f"E\r (\b" Atj! A\bj! AjAÿÿÿÿqAj! (\0!\0A\0!\b@ !@ \0Aj(\0"E\r\0 (\0 \0(\0  ((\f€€€\0€€€€\0E\r\0A!\f\v@ (\0  (‚€€€\0€€€€\0E\r\0A!\f\v \0A\bj!\0   GAtj! !  \bAj"\bF\r\f\0\v\v  \0Alj!\t Aj! \0AjAÿÿÿÿqAj! 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AjA|q k!A\0!@@@@@  j-\0\0"À"A\0H\r\0  kAq\r  O\r@  j"Aj(\0 (\0rA€‚„xq\r A\bj" I\r\0\f\v\vB€€€€€ !\bB€€€€!\t@@@@@@@@@@@@#€€€\0AÌÀ€\0j j-\0\0A~j\0\n\v Aj" I\rB\0!\bB\0!\t\f\t\vB\0!\b Aj"\n I\rB\0!\t\f\b\vB\0!\b Aj"\n I\rB\0!\t\f\vB€€€€€ !\bB€€€€!\t  j,\0\0A¿J\r\f\v  \nj,\0\0!\n@@@ A ~j\0\v \nA`qA F\r\f\v \nAŸJ\r\f\v@ AjAÿqA\fI\r\0 A~qAnG\r \nA@H\r\f\v \nA@H\r\f\v  \nj,\0\0!\n@@@@ A~j\0\0\0\0\v AjAÿqAK\r \nA@N\r\f\v \nAð\0jAÿqA0O\r\f\v \nAJ\r\v@ Aj" I\r\0B\0!\t\f\v  j,\0\0A¿J\rB\0!\t Aj" O\r  j,\0\0A@H\rB€€€€€à\0!\b\f\vB€€€€€ !\b\f\vB\0!\t Aj" O\r  j,\0\0A¿L\r\vB€€€€€À\0!\b\vB€€€€!\t\v \0 \b ­„ \t„7 \0A6\0\v Aj!\f\v Aj!\f\v  O\r\0@  j,\0\0A\0H\r  Aj"G\r\0\f\v\v  I\r\0\v\v \0 6\b \0 6 \0A\x006\0\v³\n~~~#€€€€\0Aà\bk"$€€€€\0 ½!@@ ™D\0\0\0\0\0\0ðb\r\0A!\f\v@ B€€€€€€€øÿ\0ƒ"B€€€€€€€øÿ\0R\r\0A!\f\v Bÿÿÿÿÿÿÿƒ"\bB€€€€€€€\b„ B†Bþÿÿÿÿÿÿƒ B4ˆ§Aÿq"\t"\nBƒ!\v@ B\0R\r\0@ \bPE\r\0A!\f\v \tAÍwj!\f \v§As!B!\f\vB€€€€€€€ \nB† \nB€€€€€€€\bQ"\f!\nBB \f! \v§As!AËwAÌw \f \tj!\f\v  \f;Ø\b  7Ð\b B7È\b  \n7À\b  :\0Ú\b@@@@@@ A~j"\tE\r\0 Aÿÿq!\rA!#€€€\0"Aù€€\0j" Aú€€\0j B\0S" A  !A B?ˆ§ ! \tA \tAIAj\v A6ˆ\b A;€\b #€€€\0Aû€€\0j6„\bA!A\0!A!\f\v A6ˆ\b A;€\b #€€€\0Aþ€€\0j6„\b\f\vA! 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%s:%d:%d"],fD=[0,2],oD=[1,0],sD=Su,lD=[0,[2,0,[11,"_of_sexp: polymorphic variant tag ",[3,0,[11,Us,0]]]],"%s_of_sexp: polymorphic variant tag %S has incorrect number of arguments"],vD=[0,[2,0,[11,"_of_sexp: the following record elements were undefined: ",[2,0,0]]],"%s_of_sexp: the following record elements were undefined: %s"],bD=Su,pD=[0,[2,0,[11,"_of_sexp: ",[2,0,[11,Jf,[2,0,0]]]]],"%s_of_sexp: %s: %s"],dD=[0,[2,0,[11,"_of_sexp: sum tag ",[3,0,[11,Us,0]]]],"%s_of_sexp: sum tag %S has incorrect number of arguments"],hD=[0,[2,0,[11,"_of_sexp: tuple of size ",[4,0,0,0,[11," expected",0]]]],"%s_of_sexp: tuple of size %d expected"],mD=[1,0],kD=[3,0],yD=[0,zf],xD=[0,[11,od,[2,0,[11," has been located with a name of different case",0]]],"file %s has been located with a name of different case"],wD=[0,[11,od,[2,0,[11," has been located with a different name",0]]],"file %s has been located with a different name"],_D=Ac,gD=zf,ND=et,ID=zf,TD=et,AD=mh,MD=et,UD=et,BD=zf,ED=[0,0,0,0],LD=lo,CD=Du,RD=Od,DD=[0,0,0],FD=[0,0,0],XD=[0,Jn,op,13],SD=[0,Jn,Mv,11],PD=[0,[5,12,0,0,0],"%lu"],WD=[0,[18,[1,[0,[11,Eb,0],Eb]],[15,[17,0,0]]],"@[%a@]"],HD=[0,[17,3,[18,[1,[0,[11,Eb,0],Eb]],[11,Di,[15,[17,0,0]]]]],"@\n@[ %a@]"],OD=[0,[18,[1,[0,0,zf]],[15,[17,0,0]]],"@[%a@]"],jD=zf,qD=[0,[8,[0,0,3],0,[0,16],0],"%.16g"],VD=[0,[8,[0,0,3],0,[0,17],0],Ui],$D=Tp,zD=W,YD=cb,GD=lo,QD=Du,ZD=Od,JD=xe,KD=[0,[11,"src=",[3,0,[11," start=",[4,3,0,0,[11," len=",[4,3,0,0,[12,10,[10,0]]]]]]]],"src=%S start=%i len=%i\n%!"],rF=cf,eF=Rv,nF=[0,Np,648,60],tF=[0,Np,639,55],aF=Xc,uF=zf,iF=[0,"end_pos"],cF=[0,"start_pos"],fF=[0,a],oF=[0,"col"],sF=[0,"line"],lF=[0,$p,46,2],vF=[0,$p,57,2],bF=[0,"parse_error.ml.Parse_error"],pF=[0,"src/parse_error.ml",40,11],dF=[0,ji],hF=[0,"position"],mF=[0,"of_sexp_error.ml.Of_sexp_error"],kF=[0,"src/of_sexp_error.ml",65,11],yF=[0,"location"],xF=[0,"sub_sexp"],wF=[0,"user_exn"],_F=[0,jo,874,13],gF=[0,"buf_pos"],NF=[0,"global_offset"],IF=[0,"text_char"],TF=[0,"text_line"],AF=[0,"err_msg"],MF=[0,"Sexplib.Sexp.Parse_error"],UF=[0,jo,Mb,11],BF=[0,jo,il,6],EF=[0,jo,Jd,13],LF=[0,"containing_sexp"],CF=[0,"invalid_sexp"],RF=[0,[0,"Of_sexp_error"],0],DF=zf,FF=zf,XF=zf,SF=[0,[2,0,[11,Jf,[2,0,0]]],"%s: %s"],PF=[0,[18,[1,[0,[11,Tf,0],Tf]],[11,"expected sexp atom, recieved list: ",[18,[1,[0,0,zf]],[15,[17,0,[17,0,0]]]]]],"@[<2>expected sexp atom, recieved list: @[%a@]@]"],WF=[0,[11,Js,0],Js],HF=on,OF=ic,jF=bm,qF=pf,VF=ic,$F=mp,zF=[0,Mn,45,4],YF=[0,Mn,39,4],GF=[0,Mn,31,4],QF=[0,"lib/core/range.ml",67,2],ZF=[0,[11,"range start ",[15,[11," is greater than range stop ",[15,0]]]],"range start %a is greater than range stop %a"],JF=[0,[11,"range beyond end of source; stop = ",[15,[11," > ",[4,0,0,0,[11," = eos",0]]]]],"range beyond end of source; stop = %a > %d = eos"],KF=ho,rX=yd,eX=nr,nX=uc,tX=Dv,aX=[0,[11,ad,0],ad],uX=[0,[15,[11," > ",[15,[11,": line index exceeds the last line index",0]]]],"%a > %a: line index exceeds the last line index"],iX=[0,[11,Zb,0],Zb],cX=[0,lk(0,0,0)],fX=[0,0,0],oX=[0,[11,"could not open file ",[2,0,0]],"could not open file %s"],sX=[0,[11,"could not read the file ",[2,0,0]],"could not read the file %s"],lX=[0,"src/uutf.ml",tl,9],vX=[0,[11,"invalid bounds (index ",[4,0,0,0,[11,", length ",[4,0,0,0,[12,41,0]]]]],"invalid bounds (index %d, length %d)"],bX=[0,[17,4,0],sn],pX=[0,[12,32,0],Su],dX=[0,[0,kv,Bs],0],hX=[0,[0,kv,Bs],0],mX=[0,[0,kv,Bs],0],kX=[0,[0,kv,Bs],0],yX=[0,Pt,0],xX=[0,"┌─",In,"·",vn,Qt,_c,Qt,Qt,Nr,Nr,"╭","─","╰","─",In,In],wX=[0,ir,416,14],_X=[0,ir,401,15],gX=zf,NX=[0,ir,nn,4],IX=[0,1],TX=[0,0],AX=[0,ir,ps,8],MX=[0,ir,Wi,8],UX=[0,ir,gf,12],BX=[0,'File "lib/ansi_renderer/snippet.ml", line 149, characters 24-31'],EX=Qs,LX=Ub,CX=fu,RX=ji,DX=$d,FX=Zv,XX=bs,SX=Dp,PX=xb,WX=it,HX=js,OX=sd,jX=q,qX=Jh,VX=pf,$X=on,zX=$f,YX=Yu,GX=Yu,QX=it,ZX=mp,JX=mi,KX=Yu,rS=ei,eS=mp,nS=[0,ir,49,4],tS=[0,ir,19,18],aS=[0,Wt],uS=[0,0,0],iS=[0,[18,[1,[0,[11,"",0],""]],0],"@["],cS=[0,[17,0,0],"@]"],fS=[0,[18,[1,[0,[11,Ef,0],Ef]],[15,[11,Jf,[15,[17,0,0]]]]],"@[%a: %a@]"],oS=zf,sS=[0,[2,[1,1],[12,32,[15,[12,32,0]]]],"%*s %a "],lS=[0,[18,[1,[0,[11,Ef,0],Ef]],[15,[15,[11,Jf,[15,[17,0,0]]]]]],"@[%a%a: %a@]"],vS=[0,[12,93,0],"]"],bS=[0,[12,91,0],"["],pS=[0,[17,4,0],sn],dS=zf,hS=[0,[18,[1,[0,[11,Ef,0],Ef]],[2,[1,1],[12,32,[15,[12,32,[15,[17,0,0]]]]]]],lb],mS=[0,[18,[1,[0,[11,Ef,0],Ef]],[2,0,[12,58,[15,[12,58,[15,[17,0,0]]]]]]],"@[%s:%a:%a@]"],kS=[0,0,0],yS=zf,xS=[0,[18,[1,[0,[11,Ef,0],Ef]],[2,[1,1],[12,32,[15,[12,32,[15,[17,0,0]]]]]]],lb],wS=[0,[17,4,[15,0]],"@.%a"],_S=[0,Eu,Fe,8],gS=[0,Eu,iv,8],NS=[0,[2,0,0],Z],IS=[0,[15,0],o],TS=zf,AS=[0,Eu,Bt,6],MS=[0,[12,32,[15,0]]," %a"],US=[0,Eu,305,14],BS=[0,[15,[15,[12,32,0]]],"%a%a "],ES=[0,Ko,Yi],LS=zf,CS=[0,[2,[1,1],[12,32,[15,[12,32,[15,0]]]]],"%*s %a %a"],RS=[0,[18,[1,[0,[11,Ef,0],Ef]],[2,0,[2,0,[17,0,0]]]],Bo],DS=zf,FS=[0,[18,[1,[0,[11,Ef,0],Ef]],[2,[1,1],[2,0,[17,0,0]]]],"@[%*s%s@]"],XS=[0,[15,0],o],SS=[0,[18,[1,[0,[11,Ef,0],Ef]],[2,0,[2,0,[17,0,0]]]],Bo],PS=[0,[15,0],o],WS=[0,zf,0],HS=zf,OS=[0,[18,[1,[0,[11,Ef,0],Ef]],[2,[1,1],[12,32,[15,[12,32,[15,[17,0,0]]]]]]],lb],jS=[0,[18,[1,[0,[11,Ef,0],Ef]],[15,[12,32,[15,[12,32,[15,[15,[17,0,0]]]]]]]],"@[%a %a %a%a@]"],qS=[0,[4,0,[1,1],0,0],"%*d"],VS=[0,'File "lib/ansi_renderer/snippet_renderer.ml", line 129, characters 39-46'],$S=[0,Eu,Co,4],zS=[0,'File "lib/ansi_renderer/snippet_renderer.ml", line 116, characters 26-33'],YS=Pa,GS=zf,QS=[0,[11,Qu,[4,6,0,0,0]],"0x%x"],ZS=[0,zf],JS=Su,KS=Pa,rP=[0,"lang_utils/trivia.ml",9,26],eP=ix([[0,Ga,0,"Case mismatch between import and filename"],[0,tv,0,"Comparing abstract type to itself at supertype"],[0,c,0,"Comparing incompatible type at common supertype"],[0,Yf,0,"Array elements have inconsistent types"],[0,Uv,0,"If branches have inconsistent types"],[0,Cc,0,"Redundant ignore"],[0,vc,0,"Switch with inconsistent branch types"],[0,sm,0,"Function with system function name but wrong visibility"],[0,ml,0,"Actor class has non-async return type"],[0,Yt,0,"An imported library should be a module or named actor class"],[0,Zc,0,"Pattern does not cover value"],[0,_a,0,"Pattern is never matched"],[0,R,[0,"# M0154\n\nYou are using a field (typically a module field) that has a deprecation annotation\nattached to its definition, e.g.\n\n```motoko\nmodule SomeModule {\n\n /// @deprecated The foo function is deprecated and will be removed next release\n public func foo() {}\n\n}\n```\n\nThe warning should include an explanation provided by the author of that code.\n"],"Deprecation annotation"],[0,Hd,[0,"# M0155\n\nThis warning indicates that the type of a subtraction operation had to be deduced from its operands and was inferred to be `Nat`.\nThat implies that it traps when the result is negative, which may be unintentional.\n\nOffending code examples:\n\n```motoko\nfunc f(n : Nat) {\n if (n < 10) { return };\n let m = 2 * (n - 1);\n};\n\nfunc g(n : Nat) {\n if (n - 1 < 10) { return };\n};\n```\n\nIf the subtraction was indeed intended to have a `Nat` result, you can let the compiler know by annotating the intended type explicitly:\n\n```motoko\nfunc f(n : Nat) {\n let m : Nat = 2 * (n - 1);\n};\n```\n\nIf the intended type was `Int`, however, you can either annotate it as such:\n\n```\nfunc f(n : Nat) {\n let m : Int = 2 * (n - 1);\n};\n```\n\nOr you can insert a sign operator `+`, which also forces the expression to be of type `Int`:\n\n```\nfunc f(n : Nat) {\n let m = 2 * (+n - 1);\n};\n```\n\nThis latter possibility is particularly convenient in the case of comparisons, because it is always okay to perform them at type `Int`:\n\n```\nfunc g(n : Nat) {\n if (+n - 1 < 10) { return };\n};\n```\n"],"Inferred type Nat for subtraction"],[0,no,0,"Type intersection results in abstract type"],[0,ot,0,"Type union results in bottom type"],[0,Ls,0,"Types inconsistent for alternative pattern variables, losing information"],[0,"M0191",0,"Code requires Wasm features ... to execute"],[0,ct,[0,'# M0194\n\nThis warning means that you defined an identifier without\nreferencing it later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nlet nickname = "klutz";\n// code that never uses `nickname`\n```\n\nIf you encounter this warning, you can either delete the definition (if the code has no other side-effect),\n\n```motoko\n// code that never uses `nickname`\n```\n\nreplace it by a wildcard pattern:\n\n```motoko\nlet _ = "klutz";\n// code that never uses `nickname`\n```\n\nor just prefix the identifier with an underscore:\n\n```motoko\nlet _nickname = "klutz";\n// code that never uses `nickname`\n```\n'],"Unused identifier warning"],[0,ze,[0,"# M0195\n\nThis warning means that you called a function that demands elevated (`system`) capabilities,\nwithout manifestly passing the capability.\n\n"],"warn that `system` capability is implicitly supplied"],[0,fd,[0,'# M0198\n\nThis warning means that you specified a field identifier in an object pattern without referencing this identifier later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName } = person;\nDebug.print(firstName);\n\n// secondName is not used\n```\n\nIf you encounter this warning and the identifier is indeed not needed, \nyou can either remove the field identifier from the object pattern,\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName } = person;\nDebug.print(firstName);\n```\n\nbind the field to a wildcard pattern:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _ } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n\nor bind the field to an identifier with an underscore prefix:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _secondName } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n'],"Unused field pattern warning"],[0,Xf,[0,"# M0199\n\nThis error or warning means that your code is either directly or indirectly using the now deprecated library `ExperimentalStableMemory.mo` (or its supporting compiler primitives).\n\nThe library works as advertised but is a potential hazard as the resource it provides access to is shared between all clients of the library.\nThis means that a library may unintentionally or maliciously read or modify data maintained by your application, or by another library imported by your application.\n\nIf possible, please upgrade your code to use library `Region.mo` instead.\nThis improved library offers a similar abstraction, but instead of a single memory that is implicitly accessible to all callers, it provides multiple memories.\nThese memories, called regions, are isolated from each other and inaccessible unless a region is explicitly shared between libraries.\n\nThe `moc` compiler flag `--experimental-stable-memory ` flag controls the production of this error or warning message, allowing your code to compile as before:\n* n < 0: error on use of stable memory primitives.\n* n = 0: warn on use of stable memory primitives (the default).\n* n > 1: warning-less use of stable memory primitives (for legacy applications).\n\nI.e. if your application cannot easily be upgraded to use `Regions.mo` and still requires access to `ExperimentalStableMemory.mo`, you can opt-in to legacy support for `ExperimentalStableMemory.mo` using the `moc` compiler flag `--experimental-stable-memory 1`.\n"],"Deprecate experimental stable memory"],[0,ou,0,"Migration consumes, but does not produce, a declared field"],[0,em,0,"Migration consumes, but does not produce, an un-declared field"],[0,kn,0,"Parenthetical note must be applied to a message send"],[0,Me,0,"Parenthetical note has no attributes"],[0,Aa,[0,"# M0212\n\nThis warning means that you are affixing a parenthetical note to a message send (i.e. either\na canister method call of a self-send with `async`, or `actor`) that contains an attribute not recognised\nby this version of the Motoko compiler.\n\nCurrently, only these attributes are recognized in parenthetical notes:\n\nFor _message_ sends and `async` expressions\n- `cycles : Nat`\n- `timeout : Nat32`\n\nFor `actor` and `actor class` declarations:\n- `migration : {} -> {}`\n"],"Unrecognised attribute in parenthetical note"],[0,Ju,0,"Field is lost in record used at supertype"],[0,Yp,0,"Redundant `persistent`"],[0,Tt,0,"Redundant `stable`"],[0,Ge,0,"Ignored `async*`"],[0,ld,0,"Redundant type instantiation"],[0,zh,0,"Deprecate for caffeine"],[0,Bf,0,"Suggest contextual dot notation"],[0,gu,0,"Suggest redundant explicit arguments"],[0,Xb,0,"Avoid binding a unit `()` result"],[0,aa,0,"Unused identifier in shared pattern warning"],[0,Df,0,"Unused field in shared pattern warning"],[0,rr,0,"Implicit oneway declaration"],[0,Lr,0,"Unreachable else in let-else"],[0,Of,0,"Mutable variable is never reassigned"]]),nP=[0,[11,"moc: invalid warning code: ",[2,0,[11,". Run 'moc --warn-help' to see available warning codes.",0]]],"moc: invalid warning code: %s. Run 'moc --warn-help' to see available warning codes."],tP=[0,[2,0,[10,0]],xp],aP=[0,[2,0,[10,0]],xp],uP=[0,[2,0,[12,10,[10,0]]],Sl],iP=Qs,cP=fu,fP=ji,oP=[0,cu,"MachineApplicable"],sP=mi,lP=[0,0],vP=ov,bP=nr,pP=uc,dP=_t,hP=[0,[11,"help: remove `",[2,0,[12,96,0]]],"help: remove `%s`"],mP=[0,[11,"help: insert `",[2,0,[12,96,0]]],"help: insert `%s`"],kP=[0,[11,"help: replace `",[2,0,[11,"` with `",[2,0,[12,96,0]]]]],"help: replace `%s` with `%s`"],yP=[0,[2,0,0],Z],xP=[0,[11,Rr,[2,0,0]],"note: %s"],wP=[0,[2,0,0],Z],_P=[0,[15,[17,4,0]],"%a@."],gP=zf,NP=zf,IP=zf,TP=[0,[11," [",[2,0,[12,93,0]]]," [%s]"],AP=nr,MP=[0,[2,0,[11," error",0]],"%s error"],UP=_t,BP=Pa,EP=zf,LP=Pa,CP=zf,RP=[0,[2,0,[11,Jf,[2,0,[2,0,[11,Ni,[2,0,[2,0,[2,0,[12,10,0]]]]]]]]],"%s: %s%s, %s%s%s\n"],DP=zf,FP=[0,[11,"Candid method name '",[2,0,[11,"' is not a valid Motoko identifier",0]]],"Candid method name '%s' is not a valid Motoko identifier"],XP=Ti,SP=[0,[12,95,[2,0,[12,95,0]]],"_%s_"],PP=ie,WP=cf,HP=Do,OP=Ur,jP=[0,Vc,cs,14],qP=On,VP=lf,$P=_e,zP=us,YP=[0,Vc,Vi,18],GP=cf,QP=us,ZP=[0,14],JP=Xr,KP=Xr,rW=Xr,eW=Rh,nW=fl,tW=Wo,aW=Xr,uW=Fc,iW=Fc,cW=Zf,fW=Ys,oW=Wf,sW=wb,lW=Ps,vW=_f,bW=Rp,pW=wv,dW=So,hW=qt,mW=ip,kW=Uo,yW=rs,xW=ib,wW=cb,_W=pt,gW=hi,NW=[0,wd,Mh,12],IW=[0,[11,gi,0],gi],TW=[0,[11,ia,0],ia],AW=[0,[11,Be,0],Be],MW=[0,[11,"field name ",[2,0,[11," hash collision with field ",[2,0,0]]]],"field name %s hash collision with field %s"],UW=[0,[2,0,[11," is a non-function type\n ",[2,0,0]]],"%s is a non-function type\n %s"],BW=[0,[11,Ld,[2,0,[11," in service",0]]],"duplicate binding for %s in service"],EW=[0,[11,Ld,[2,0,[11," in type definitions",0]]],"duplicate binding for %s in type definitions"],LW=[0,wd,x,14],CW=[0,[2,0,[11," is a non-service type\n ",[2,0,0]]],"%s is a non-service type\n %s"],RW=[0,[2,0,[11," has a cyclic type definition",0]],"%s has a cyclic type definition"],DW=[0,[11,"unbound type identifier ",[2,0,0]],"unbound type identifier %s"],FW=[0,0],XW=[0,0],SW=[0,0],PW=Sv,WW=zf,HW=[0,[11,"Internal failure -- please contact the parser generator's developers.\n",[10,0]],"Internal failure -- please contact the parser generator's developers.\n%!"],OW=[0,"idllib/parser.ml",2461,4],jW=[0,14],qW=Ro,VW=[0,14],$W=[0,14],zW=Ro,YW=Ro,GW=Ro,QW=Ro,ZW=Ro,JW=Ro,KW=Ro,rH=zf,eH=[0,"idllib/parser.mly",12,2],nH=ix([[0,Zf,0],[0,Ys,1],[0,Wf,2],[0,wb,3],[0,Ps,4],[0,_f,5],[0,Rp,6],[0,wv,7],[0,So,8],[0,qt,9],[0,ip,10],[0,Uo,11],[0,rs,12],[0,ib,13],[0,cb,14],[0,pt,15],[0,hi,16]]),tH=Ta,aH=Tb,uH=Pu,iH=en,cH=ra,fH=Os,oH=ra,sH=[0,10,0],lH=[0,13,0],vH=[0,9,0],bH=zf,pH=Ch,dH=[0,92,0],hH=[0,39,0],mH=[0,34,0],kH=[0,[11,od,[2,0,[11,pi,0]]],Xi],yH=Ti,xH=[0,[11,"conflict type definition for ",[2,0,0]],"conflict type definition for %s"],wH=Ti,_H=[0,[11,'cannot open "',[2,0,[12,34,0]]],'cannot open "%s"'],gH=ov,NH=Vv,IH=Vv,TH=zf,AH=[0,0,[0,ne]],MH=[0,[2,0,[2,0,[4,3,0,0,0]]],"%s%s%i"],UH=[0,ft,zb,16],BH=[0,1],EH=[0,0],LH=[0,1],CH=[0,2],RH=[0,Lo],DH=[0,kb],FH=[0,2],XH=[0,ft,762,19],SH=Fi,PH=[0,ft,1424,4],WH=[0,ft,1461,18],HH=[0,ft,1493,11],OH=[0,ft,1508,15],jH=[0,ft,1611,2],qH=[0,ft,1648,23],VH=[1,0,2],$H=[0,ft,1688,31],zH=[0,ft,2065,13],YH=[0,[18,[1,[0,[11,dp,0],dp]],[2,0,[12,zo,[17,[0,be,0,0],[15,[17,[0,rf,0,-2],[12,sa,[17,0,0]]]]]]]],"@[%s{@;<0 0>%a@;<0 -2>}@]"],GH=[0,[18,[1,[0,[11,dp,0],dp]],[12,zo,[17,[0,be,0,0],[15,[17,[0,rf,0,-2],[12,sa,[17,0,0]]]]]]],Io],QH=[0,[18,[1,[0,[11,dp,0],dp]],[12,zo,[17,[0,be,0,0],[15,[17,[0,rf,0,-2],[12,sa,[17,0,0]]]]]]],Io],ZH=[0,[18,[1,[0,[11,Ib,0],Ib]],[2,0,[11,Ae,[15,[17,0,0]]]]],"@[<1>%s : %a@]"],JH=mb,KH=tr,rO=[0,[11,"??? 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Did you mean ",[3,0,[12,63,0]]],"invalid principal. Did you mean %S?"],PV=vv,WV=ci,HV=Bu,OV=Bu,jV=ci,qV=vv,VV=[0,[12,40,[2,0,[4,3,0,0,[12,32,[2,0,[12,32,[4,3,0,0,[12,41,0]]]]]]]],"(%s%i %s %i)"],$V=[0,0,0,1,1],zV=zf,YV=[0,"mo_values/numerics.ml",Mv,10],GV=lk(0,0,0),QV=[0,[7,6,0,0,0],Hv],ZV=z,JV=z,KV=[0,1],r$=vb,e$=cb,n$=Tp,t$=W,a$=Rh,u$=zf,i$=[0,[18,[1,[0,[11,Ib,0],Ib]],[12,40,[15,[2,0,[12,41,[17,0,0]]]]]],_o],c$=Ei,f$=zf,o$=[0,[18,[1,[0,[11,Ib,0],Ib]],[12,91,[15,[15,[12,93,[17,0,0]]]]]],"@[<1>[%a%a]@]"],s$=zf,l$=[0,[18,[1,[0,[11,dp,0],dp]],[15,[12,zo,[17,[0,be,0,0],[15,[17,[0,rf,0,-2],[12,sa,[17,0,0]]]]]]]],"@[%a{@;<0 0>%a@;<0 -2>}@]"],v$=[0,[18,[1,[0,[11,Ib,0],Ib]],[12,40,[15,[12,41,[17,0,0]]]]],rb],b$=[0,[18,[1,[0,[11,Tf,0],Tf]],[2,0,[11," =",[17,[0,En,1,0],[15,[17,0,0]]]]]],"@[<2>%s =@ %a@]"],p$=vb,d$=[0,[18,[1,[0,[11,Ib,0],Ib]],[12,63,[15,[17,0,0]]]],ke],h$=[0,[12,35,[2,0,0]],yt],m$=[0,[18,[1,[0,0,zf]],[12,35,[2,0,[17,[0,Xl,0,1],[15,[17,0,0]]]]]],"@[#%s@;<0 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Try something else?"],TZ=Nn,AZ=Ni,MZ=[0,[11,"help: did you mean ",[2,0,[12,32,[2,0,[12,63,0]]]]],"help: did you mean %s %s?"],UZ=zf,BZ=[0,[11,"expected module, object, or actor type, but path expression produces type",[15,0]],"expected module, object, or actor type, but path expression produces type%a"],EZ=[0,[11,"cannot infer type of forward variable reference ",[2,0,0]],"cannot infer type of forward variable reference %s"],LZ=[0,[11,"unavailable variable ",[2,0,0]],"unavailable variable %s"],CZ=[0,[11,Zr,[2,0,[15,0]]],mr],RZ=Eo,DZ=[0,[11,Ho,[2,0,[11,Nv,[15,0]]]],sf],FZ=Wv,XZ=[0,[11,Pv,[2,0,0]],Xo],SZ=[0,[11,"unbound type ",[2,0,[15,0]]],"unbound type %s%a"],PZ="M0029",WZ=Sv,HZ=[0,[11,"type field ",[2,0,[11,Nv,[15,0]]]],"type field %s does not exist in %a"],OZ="M0030",jZ=fc,qZ=fc,VZ=[0,[11,Ol,[15,0]],oc],$Z=Jv,zZ=[0,[11,xu,0],xu],YZ="M0040",GZ=Wv,QZ=as,ZZ=fc,JZ=as,KZ="variant type",rJ=[0,[11,hn,[15,0]],Ut],eJ=th,nJ=[0,1],tJ=[0,[11,Cv,[15,0]],g],aJ=sb,uJ=[0,[11,"async has non-shared 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have a matching declaration named %s in scope."],d1=Nn,h1=[0,[11,"Did you mean to import ",[2,0,[12,63,0]]],"Did you mean to import %s?"],m1=[0,[11,"Cannot determine implicit argument ",[2,0,[11,Pl,[15,0]]]],"Cannot determine implicit argument %s of type%a"],k1="M0230",y1=[0,[11,dt,0],dt],x1="M0090",w1=[0,[11,ef,[15,0]],uv],_1=Hd,g1=[2,16],N1=[0,[11,"to_candid produces a Blob that is not a subtype of",[15,0]],"to_candid produces a Blob that is not a subtype of%a"],I1="M0172",T1=[0,[11,_s,[15,0]],qc],A1="M0173",M1=[2,16],U1=[2,16],B1=[0,[11,"from_candid produces an optional shared type, not type",[15,0]],"from_candid produces an optional shared type, not type%a"],E1="M0174",L1=[2,0],C1=Ar,R1=Ar,D1=[0,[11,Vp,0],Vp],F1=fv,X1=zf,S1=As,P1=Ni,W1=[0,[11,"missing field",[2,0,[12,32,[2,0,[11," from expected type",[15,0]]]]]],"missing field%s %s from expected type%a"],H1="M0151",O1=zf,j1=[0,[2,0,[11,"mutable array expression cannot produce expected type",[15,0]]],"%smutable array expression cannot produce expected type%a"],q1="M0091",V1=Kh,$1=[0,[11,wt,0],wt],z1=te,Y1=[0,3,[0,0,0]],G1=Zo,Q1="Use keyword 'async' (not 'async*') to produce the expected type.",Z1="Use keyword 'async*' (not 'async') to produce the expected type.",J1=[0,[11,"async expression cannot produce expected async type ",[15,[11,".\n",[2,0,0]]]],"async expression cannot produce expected async type %a.\n%s"],K1="M0183",r2=[0,[11,"async at scope",[15,[11,"\ncannot produce expected scope",[15,[15,[15,0]]]]]],"async at scope%a\ncannot produce expected scope%a%a%a"],e2="M0092",n2=ks,t2=Rd,a2=[0,[11,Le,[15,[11,Tl,[15,[15,[2,0,0]]]]]],"expression of type%a\ncannot produce expected type%a%a%s"],u2=pn,i2=[0,[11,"expected mutable 'var' field ",[2,0,[11,Pl,[15,[11,"\nbut found immutable field (insert 'var'?)",0]]]]],"expected mutable 'var' field %s of type%a\nbut found immutable field (insert 'var'?)"],c2=[0,[11,"expected immutable field ",[2,0,[11,Pl,[15,[11,"\nbut found mutable 'var' field (delete 'var'?)",0]]]]],"expected immutable field %s of type%a\nbut found mutable 'var' field (delete 'var'?)"],f2=[0,Ka,2723,35],o2=[0,[11,_,0],_],s2=$t,l2=[0,1,[0,2,0]],v2=Mo,b2=zf,p2=Mo,d2=zf,h2=[0,[2,0,[11,"shared function does not match expected ",[2,0,[11,"shared function type",0]]]],"%sshared function does not match expected %sshared function type"],m2=zf,k2=[0,[11,"field `",[2,0,[11,"` is provided but not expected in record",[2,0,[11,Pl,[15,0]]]]]],"field `%s` is provided but not expected in record%s of type%a"],y2=Ju,x2=[0,[11,"public type `",[2,0,[11,ec,[15,0]]]],"public type `%s` is provided but not expected in object of type%a"],w2=Ju,_2=[0,[11,"public field `",[2,0,[11,ec,[15,0]]]],"public field `%s` is provided but not expected in object of type%a"],g2=Ju,N2=[0,Ka,2762,24],I2=[0,Ka,2748,24],T2=[0,1,0],A2=Nn,M2=[0,[11,"\nHint: Did you mean to import ",[2,0,[12,63,0]]],"\nHint: Did you mean to import %s?"],U2=[1,"hole"],B2=[0,[11,"The `",[2,0,[11,"` argument can be inferred and omitted here (the function parameter is `implicit`).",0]]],"The `%s` argument can be inferred and omitted here (the function parameter is `implicit`)."],E2=gu,L2=zf,C2=gu,R2=[0,[11,"expected function type, but expression produces type",[15,0]],"expected function type, but expression produces type%a"],D2=[0,[11,Al,0],Al],F2=[0,Ka,2929,14],X2=ld,S2=[0,[11,he,0],he],P2=ld,W2=zf,H2=[0,[11,"shared function argument contains abstract type",[15,0]],"shared function argument contains abstract type%a"],O2=[0,[11,"shared function call result contains abstract type",[15,0]],"shared function call result contains abstract type%a"],j2=[0,[11,is,0],is],q2=zf,V2=[0,[11,"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)",0]]],"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)"],$2=ze,z2=[0,[11,"wrong number of arguments: expected ",[4,0,0,0,[11,bc,[4,0,0,0,[12,10,[15,[12,10,[15,0]]]]]]]],"wrong number of arguments: expected %d but got %d\n%a\n%a"],Y2=[0,[11,Le,[15,[11,Tl,[15,0]]]],Xp],G2=pn,Q2=[0,Ka,3122,10],Z2=[0,[11,"function `.",[2,0,[12,96,0]]],"function `.%s`"],J2=ku,K2=[0,[12,10,[2,0,0]],"\n%s"],r3=zf,e3=[0,[11,"cannot apply ",[2,0,[11,Pl,[15,[11,"\nto argument of type",[15,[11,kf,[2,0,[2,0,0]]]]]]]]],"cannot apply %s of type%a\nto argument of type%a\nbecause %s%s"],n3=[0,Ka,3214,2],t3=[0,[11,"the switch has type",[15,[11,"\nbecause branches have inconsistent types,\nthis case produces type",[15,[11,"\nthe previous produce type",[15,0]]]]]],"the switch has type%a\nbecause branches have inconsistent types,\nthis case produces type%a\nthe previous produce type%a"],a3=vc,u3=[0,Ka,3276,2],i3=[0,[11,tu,0],tu],c3=[0,[11,Ze,0],Ze],f3=[0,[11,Ri,[15,0]],Gd],o3=Bv,s3=[0,[11,_d,0],_d],l3=[0,[11,Ld,[2,0,[11,fh,0]]],Jl],v3=er,b3=[0,[11,Ld,[2,0,[11,fh,0]]],Jl],p3=er,d3=[0,[11,u,0],u],h3=Ph,m3=[0,[11,wr,0],wr],k3=[0,3,[0,0,0]],y3=[0,[11,Pc,0],Pc],x3=[0,[11,td,0],td],w3=[0,3,[0,0,0]],_3=[0,[11,ns,0],ns],g3=[0,Ka,3380,19],N3=[0,Ka,3393,2],I3=[0,[11,"this expression has type `",[15,[12,96,0]]],"this expression has type `%a`"],T3=[0,Ka,3405,2],A3=[0,[11,"literal pattern cannot consume expected type",[15,0]],"literal pattern cannot consume expected type%a"],M3="M0110",U3=[0,[11,"operator pattern cannot consume expected type",[15,0]],"operator pattern cannot consume expected type%a"],B3="M0111",E3=ie,L3=zf,C3=[0,[11,To,[15,[11,"`, got `(",[2,0,[11,")`",0]]]]],"expected `%a`, got `(%s)`"],R3=[0,[11,Fo,0],Fo],D3="M0112",F3=[0,[11,To,[15,[11,"`, got object type",0]]],"expected `%a`, got object type"],X3=[0,[11,Ob,0],Ob],S3="M0113",P3=[0,[11,"object pattern cannot consume values from actor type",[15,0]],"object pattern cannot consume values from actor type%a"],W3="M0114",H3=[0,[11,To,[15,[11,"`, got `?_`",0]]],"expected `%a`, got `?_`"],O3=[0,[11,rt,0],rt],j3="M0115",q3=[0,[11,To,[15,[11,"`, got `{#",[2,0,[11," : _}`",0]]]]],"expected `%a`, got `{#%s : _}`"],V3=[0,[11,Gc,0],Gc],$3="M0116",z3=[0,[11,qs,0],qs],Y3=ev,G3=[0,[11,"pattern of type",[15,[11,"\ncannot consume expected type",[15,0]]]],"pattern of type%a\ncannot consume expected type%a"],Q3="M0117",Z3=[0,[11,Ld,[2,0,[11,fh,0]]],Jl],J3=er,K3=[0,[11,lh,[4,3,0,0,[11,st,[4,3,0,0,0]]]],lu],r4=wu,e4=[0,[11,"duplicate field ",[2,0,[11,xc,0]]],"duplicate field %s in object pattern"],n4=Ba,t4=[0,[11,"object field ",[2,0,[11,Mf,[15,0]]]],"object field %s is not contained in expected type%a"],a4=Fu,u4=[0,[11,"cannot pattern match mutable field ",[2,0,0]],"cannot pattern match mutable field %s"],i4="M0120",c4=Wv,f4=[0,[11,Ld,[2,0,[11,fh,0]]],Jl],o4=er,s4=[0,[11,u,0],u],l4=Ph,v4=zf,b4=[0,[11,"mismatched types for type ",[2,0,[11," in patterns",0]]],"mismatched types for type %s in patterns"],p4=ev,d4=[0,[11,Qd,0],Qd],h4=ev,m4=[0,[11,Kl,[2,0,[11,fh,0]]],"duplicate binding for type %s in pattern"],k4=er,y4=[0,[11,lh,[4,3,0,0,[11,st,[4,3,0,0,0]]]],lu],x4=wu,w4=[0,[11,"object type field ",[2,0,[11,Mf,[15,0]]]],"object type field %s is not contained in expected type%a"],_4=Fu,g4=[0,[11,"duplicate type field ",[2,0,[11,xc,0]]],"duplicate type field %s in object pattern"],N4=Ba,I4=[0,[11,"duplicate type binding for ",[2,0,[11,fh,0]]],"duplicate type binding for %s in pattern"],T4=er,A4=zf,M4=[0,[11,"field names ",[2,0,[11,hd,[2,0,[11,It,[2,0,[11,"object type have colliding hashes",0]]]]]]],"field names %s and %s in %sobject type have colliding hashes"],U4=[0,[11,kc,0],kc],B4=[0,1,[0,2,0]],E4=[0,[11,Oo,0],Oo],L4=[0,[11,"public actor field ",[2,0,[11," has non-shared function type",[15,0]]]],"public actor field %s has non-shared function type%a"],C4=[0,[11,Ho,[2,0,[11," in parenthetical is declared with type",[15,[11,_h,[15,0]]]]]],"field %s in parenthetical is declared with type%a\ninstead of expected type%a"],R4=[0,Ka,3855,39],D4=[0,[11,jl,0],jl],F4=kn,X4=[0,[11,Fa,0],Fa],S4=kn,P4=[0,Ka,3858,25],W4=[0,[11,Ha,0],Ha],H4=Me,O4=[0,[11,Pn,[2,0,[11," in parenthetical",0]]],"unrecognised attribute %s in parenthetical"],j4=Aa,q4=[0,[11,"system function ",[2,0,[11," is declared with type",[15,[11,_h,[15,0]]]]]],"system function %s is declared with type%a\ninstead of expected type%a"],V4=[0,[11,zv,0],zv],$4=[0,[11,Pb,0],Pb],z4=sm,Y4=Nn,G4=[0,[11,"unexpected system method named ",[2,0,[11,", expected ",[2,0,0]]]],"unexpected system method named %s, expected %s"],Q4=[0,[11,bl,0],bl],Z4=[0,[11,Nh,0],Nh],J4=[0,[11,pl,[2,0,[11,Af,[15,[11,"\nbut does not produce it, yet the field is declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it, yet the field is declared in the actor.\n%s\n%s"],K4=ou,r5=[0,[11,pl,[2,0,[11,Af,[15,[11,"\nbut does not produce it. The field is not declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it. The field is not declared in the actor.\n%s\n%s"],e5=em,n5=[0,[11,"migration expression produces unexpected field `",[2,0,[11,Af,[15,[12,10,[2,0,0]]]]]],"migration expression produces unexpected field `%s` of type%a\n%s"],t5=Wv,a5=[0,[11,"migration expression produces field `",[2,0,[11,Af,[15,[11,"\n, not the expected type",[15,[15,0]]]]]]],"migration expression produces field `%s` of type%a\n, not the expected type%a%a"],u5=[0,[11,"expected stable type, but migration expression ",[2,0,[11," non-stable type",[15,0]]]],"expected stable type, but migration expression %s non-stable type%a"],i5=[0,[11,"expected object type, but migration expression ",[2,0,[11," non-object type",[15,0]]]],"expected object type, but migration expression %s non-object type%a"],c5=zf,f5=[0,[11,"expected expression with field `migration`, but expression has type",[15,0]],"expected expression with field `migration`, but expression has type%a"],o5=zf,s5=[0,[11,"expected non-generic, local function type, but migration expression produces type",[15,0]],"expected non-generic, local function type, but migration expression produces type%a"],l5=ch,v5=[0,Ka,4044,23],b5=[0,[11,Pn,[2,0,[11," in parenthetical note",0]]],"unrecognised attribute %s in parenthetical note"],p5=Aa,d5=[0,[11,Dr,0],Dr],h5=[0,[11,No,0],No],m5=Tt,k5=[0,[11,Eh,0],Eh],y5=Yp,x5=[0,[11,U,0],U],w5=[0,[11,Nf,0],Nf],_5=[0,[11,t,0],t],g5=[0,[11,Ct,[2,0,[11," is declared stable but has non-stable type",[15,0]]]],"variable %s is declared stable but has non-stable type%a"],N5=[0,Ka,4085,14],I5=ch,T5=jt,A5=Bd,M5=[0,[11,"Avoid binding a unit `()` result; remove `",[2,0,[11,"` and keep the expression",0]]],"Avoid binding a unit `()` result; remove `%s` and keep the expression"],U5=Xb,B5=[0,[11,"shared constructor has non-shared parameter type",[15,0]],"shared constructor has non-shared parameter type%a"],E5=[0,[11,Kr,0],Kr],L5=[0,Ka,4267,35],C5=[0,[11,su,0],su],R5=ml,D5=[0,[11,"class body of type",[15,[11,Ru,[15,0]]]],"class body of type%a\ndoes not match expected type%a"],F5=[0,[11,ur,0],ur],X5=[0,[11,of,0],of],S5=[0,[11,pu,[2,0,0]],dl],P5=Go,W5=[0,[11,"empty block cannot produce expected type",[15,0]],"empty block cannot produce expected type%a"],H5=[0,[11,Le,[15,[11,Tl,[15,0]]]],Xp],O5=pn,j5=zf,q5=av,V5=zf,$5=[0,[11,pu,[2,0,0]],dl],z5=Go,Y5=av,G5=zf,Q5=zf,Z5=av,J5=[0,0,2],K5=[0,[11,pu,[2,0,0]],dl],r6=Go,e6=[0,Ka,4556,2],n6=[0,Ka,4559,10],t6=[0,[11,Jr,0],Jr],a6=Lr,u6=[0,[11,sc,0],sc],i6="M0138",c6=[0,3,[0,0,0]],f6=[0,[11,Hf,0],Hf],o6="M0139",s6=[0,1,[0,2,0]],l6=[0,[11,jb,0],jb],v6="M0140",b6=[0,[11,qb,0],qb],p6=[0,[11,xd,0],xd],d6=[0,[11,hu,0],hu],h6=Yt,m6=[0,[11,tn,0],tn],k6=Sc,y6=[0,Ka,4784,26],x6=[0,Ka,4785,23],w6=[0,[11,"duplicate binding for mixin ",[2,0,[11,S,0]]],"duplicate binding for mixin %s in imports"],_6=er,g6=[0,[11,Kl,[2,0,[11,S,0]]],"duplicate binding for type %s in imports"],N6=er,I6=[0,[11,Ld,[2,0,[11,S,0]]],"duplicate binding for %s in imports"],T6=er,A6=[0,[11,Il,0],Il],M6=[0,Ka,4666,4],U6=[0,Ka,4670,9],B6=Bf,E6=zf,L6=bv,C6=[0,[11,"You can use the dot notation `",[2,0,[12,46,[2,0,[11,"(...)` here",0]]]]],"You can use the dot notation `%s.%s(...)` here"],R6=Bf,D6=Ni,F6=[0,[11,"overlapping resolution for `",[2,0,[11,"` in scope from these modules: ",[2,0,0]]]],"overlapping resolution for `%s` in scope from these modules: %s"],X6=[0,0,0],S6=Ni,P6=Ni,W6=[0,[11,"The ambiguous implicit candidates are: ",[2,0,[12,46,0]]],"The ambiguous implicit candidates are: %s."],H6=[0,[11,"ambiguous implicit argument ",[2,0,[11,Ec,[15,[12,46,0]]]]],"ambiguous implicit argument %s of type %a."],O6=mh,j6=[0,[11,"Consider renaming `",[2,0,[11,"` to `",[2,0,[12,46,[2,0,[11,"` in ",[2,0,[11," module `",[2,0,[11,"`. Then it can serve as an implicit argument `",[2,0,[11,"` in this call:\n",[2,0,[2,0,0]]]]]]]]]]]]]]],"Consider renaming `%s` to `%s.%s` in %s module `%s`. Then it can serve as an implicit argument `%s` in this call:\n%s%s"],q6=[0,0,0],V6=[0,0,0],$6=[0,[11,"operator is not defined for operand types",[15,[11,yn,[15,0]]]],"operator is not defined for operand types%a\nand%a"],z6=[0,[11,"duplicate definition for ",[2,0,[2,0,[11," in block",0]]]],"duplicate definition for %s%s in block"],Y6=[8,0,0,0,0,[0,[2,2],0]],G6=Up,Q6=[2,14],Z6=Cb,J6=[2,2],K6=kh,r8=[8,0,0,0,0,[0,[2,2],0]],e8=Up,n8=[2,3],t8=Tc,a8=[2,3],u8=Xv,i8=[8,0,0,0,[0,[2,2],0],[0,[2,3],0]],c8=dn,f8=[2,2],o8=Tc,s8=Xv,l8=[2,2],v8=kh,b8=[8,0,0,0,0,[0,[2,2],0]],p8=Up,d8=[0,[2,2],0],h8=dn,m8=zf,k8=[0,[11,"literal of type",[15,[11,"\ndoes not have expected type",[15,[2,0,0]]]]],"literal of type%a\ndoes not have expected type%a%s"],y8=[0,Ka,1278,4],x8=[0,[11,'string literal "',[2,0,[11,'": is not valid utf8',0]]],'string literal "%s": is not valid utf8'],w8=[0,[11,"literal out of range for type ",[2,0,0]],"literal out of range for type %s"],_8=[0,[11,Sp,[2,0,[11,"; try enclosing in an async expression or query function",0]]],"misplaced %s; try enclosing in an async expression or query function"],g8=fb,N8=[0,[11,Sp,[2,0,0]],_i],I8=fb,T8=[0,[11,Sp,[2,0,[11,"; try enclosing in an async expression",0]]],"misplaced %s; try enclosing in an async expression"],A8=hp,M8=[0,[11,Sp,[2,0,0]],_i],U8=hp,B8=[0,[11,Sp,[2,0,[11,"; a query cannot contain an ",[2,0,0]]]],"misplaced %s; a query cannot contain an %s"],E8=Op,L8=[0,[11,Sp,[2,0,[11,"; a composite query cannot contain an ",[2,0,0]]]],"misplaced %s; a composite query cannot contain an %s"],C8=Op,R8=[0,[11,Sp,[2,0,[11,"; try enclosing in an async function",0]]],"misplaced %s; try enclosing in an async function"],D8=Op,F8=[0,Ka,743,22],X8=[0,[11,"start of scope ",[2,0,[11,Mc,[2,0,0]]]],"start of scope %s mentioned in error at %s"],S8=[0,[11,"end of scope ",[2,0,[11,Mc,[2,0,0]]]],"end of scope %s mentioned in error at %s"],P8=[0,[11,_n,[15,[11," is ",[2,0,0]]]],"\n scope %a is %s"],W8=[0,[11,_n,[15,[11," is the global scope",0]]],"\n scope %a is the global scope"],H8=zf,O8=[0,[11,Iu,0],Iu],j8=[0,[11,Sf,0],Sf],q8=[0,Ka,678,2],V8=[0,[11,Ed,0],Ed],$8=[0,[11,"\ntype",[15,[11,"\nis or contains non-shared type",[15,0]]]],"\ntype%a\nis or contains non-shared type%a"],z8=[0,[11,"unresolved import ",[2,0,0]],"unresolved import %s"],Y8=Ci,G8=[0,[11,"cannot infer type of forward import ",[2,0,0]],"cannot infer type of forward import %s"],Q8=[0,[11,"imported file ",[2,0,[11," not loaded",0]]],"imported file %s not loaded"],Z8=Ni,J8=[0,[11,av,[2,0,[2,0,[12,32,[2,0,[12,32,[2,0,[11," references type parameter",[2,0,[12,32,[2,0,[11," from an outer scope",0]]]]]]]]]]]],"type %s%s %s %s references type parameter%s %s from an outer scope"],K8=Qv,r7=gn,e7=ms,n7=Vf,t7=[0,[11,Ms,0],Ms],a7=[0,[11,"first use of ",[2,0,0]],"first use of %s"],u7=[0,[11,"duplicate ",[2,0,[11," name ",[2,0,[11,It,[2,0,0]]]]]],"duplicate %s name %s in %s"],i7=[0,[2,0,[11," names ",[2,0,[11,hd,[2,0,[11,It,[2,0,[11," have colliding hashes",0]]]]]]]],"%s names %s and %s in %s have colliding hashes"],c7=[0,[11,Rn,0],Rn],f7=_a,o7=Bc,s7=[0,[11,"this ",[2,0,[11,Pl,[15,[11,"\ndoes not cover value\n ",[2,0,0]]]]]],"this %s of type%a\ndoes not cover value\n %s"],l7=Zc,v7=[0,[11,Zt,0],Zt],b7=bi,p7=[0,[11,"cannot decide equality between type",[15,[11,yn,[15,0]]]],"cannot decide equality between type%a\nand%a"],d7=bi,h7=[0,[11,qe,[15,[11,yn,[15,0]]]],cm],m7=bi,k7=[0,[11,qe,[15,[11,yn,[15,0]]]],cm],y7=bi,x7=aa,w7=ct,_7=[0,[11,"unused identifier: `",[2,0,[12,96,0]]],"unused identifier: `%s`"],g7=[0,[11,"help: if this is intentional, prefix it with an underscore: `_",[2,0,[12,96,0]]],"help: if this is intentional, prefix it with an underscore: `_%s`"],N7=Df,I7=fd,T7=[0,[11,"unused field in pattern: `",[2,0,[12,96,0]]],"unused field in pattern: `%s`"],A7=[0,[11,"help: if this is intentional, delete or rewrite as `",[2,0,[11," = _`",0]]],"help: if this is intentional, delete or rewrite as `%s = _`"],M7=[0,[11,Ct,[2,0,[11," is never reassigned, consider using `let`",0]]],"variable %s is never reassigned, consider using `let`"],U7=Of,B7=[0,[11,"pattern variable ",[2,0,[11," has larger type",[15,[11,"\nbecause its types in the pattern alternatives are unrelated smaller types:\ntype in left pattern is",[15,[11,"\ntype in right pattern is",[15,0]]]]]]]],"pattern variable %s has larger type%a\nbecause its types in the pattern alternatives are unrelated smaller types:\ntype in left pattern is%a\ntype in right pattern is%a"],E7=Ls,L7=zf,C7=As,R7=[0,[2,0,[11,"\n (This is a limitation of the current version",[2,0,[11,".)",0]]]],"%s\n (This is a limitation of the current version%s.)"],D7=zf,F7=[0,[2,0,[12,32,[2,0,[11," is deprecated for caffeine",0]]]],"%s %s is deprecated for caffeine"],X7=[0,[11,pd,0],pd],S7=[0,[2,0,[12,32,[2,0,[11," is deprecated:\n",[2,0,0]]]]],"%s %s is deprecated:\n%s"],P7=R,W7=[0,[2,0,0],Z],H7=Sv,O7=Sv,j7=Sv,q7=[0,[11," in type environment:",[15,0]]," in type environment:%a"],V7=[0,[11," in label environment:",[15,0]]," in label environment:%a"],$7=[0,[11," in environment:",[15,0]]," in environment:%a"],z7=[0,[11,cn,[15,0]],gt],Y7=fr,G7=rn,Q7=fn,Z7=ss,J7=fs,K7=[0,[2,0,[12,46,0]],"%s."],r9=[0,[11,cn,[15,0]],gt],e9=[0,[11,Hs,0],Hs],n9=[0,[11,"But got ",[4,0,0,0,[11,zn,[2,0,[11,dh,[15,0]]]]]],"But got %d argument%s of type:%a"],t9=[0,[11,zp,0],zp],a9=[0,[11,"Expected ",[4,0,0,0,[11,zn,[2,0,[11,dh,[15,0]]]]]],"Expected %d argument%s of type:%a"],u9=zf,i9=As,c9=[0,[11,kf,[2,0,0]],"\nbecause 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r<50?IOr(r+1|0,i,n,t,f):Gx(IOr,[0,i,n,t,f]);case 6:return r<50?BOr(r+1|0,i,n,t,f):Gx(BOr,[0,i,n,t,f]);case 9:return r<50?LOr(r+1|0,i,n,t,f):Gx(LOr,[0,i,n,t,f]);case 11:return r<50?DOr(r+1|0,i,n,t,f):Gx(DOr,[0,i,n,t,f]);case 19:return r<50?XOr(r+1|0,i,n,t,f):Gx(XOr,[0,i,n,t,f]);case 26:return r<50?SOr(r+1|0,i,n,t,f):Gx(SOr,[0,i,n,t,f])}else if(2===o[0]){var s=o[1];return r<50?FOr(r+1|0,i,n,t,s,f):Gx(FOr,[0,i,n,t,s,f])}return iOr()}return iOr()}function BOr(r,e,n,t,a){for(var u=e,i=a;;){var c=[0,u,i,n[11]],f=Aw(t,n);if("number"==typeof f&&17===f){var o=[0,c,n[11]],s=Aw(t,n);if("number"==typeof s)switch(s){case 0:return r<50?wOr(r+1|0,o,n,t,25):Gx(wOr,[0,o,n,t,25]);case 1:return r<50?_Or(r+1|0,o,n,t,25):Gx(_Or,[0,o,n,t,25]);case 3:return r<50?IOr(r+1|0,o,n,t,25):Gx(IOr,[0,o,n,t,25]);case 6:u=o,i=25;continue;case 7:return r<50?mjr(r+1|0,o,n,t,0):Gx(mjr,[0,o,n,t,0]);case 9:return r<50?LOr(r+1|0,o,n,t,25):Gx(LOr,[0,o,n,t,25]);case 11:return r<50?DOr(r+1|0,o,n,t,25):Gx(DOr,[0,o,n,t,25]);case 19:return r<50?XOr(r+1|0,o,n,t,25):Gx(XOr,[0,o,n,t,25]);case 26:return r<50?SOr(r+1|0,o,n,t,25):Gx(SOr,[0,o,n,t,25]);default:return iOr()}switch(s[0]){case 0:var l=s[1];return r<50?EOr(r+1|0,o,n,t,l,25):Gx(EOr,[0,o,n,t,l,25]);case 1:var v=s[1];return r<50?bjr(r+1|0,o,n,t,v,25):Gx(bjr,[0,o,n,t,v,25]);default:var b=s[1];return r<50?pjr(r+1|0,o,n,t,b,25):Gx(pjr,[0,o,n,t,b,25])}}return iOr()}}function EOr(r,e,n,t,a,u){var i=[0,e,u,a,n[11],n[12]],c=Aw(t,n);return"number"==typeof c&&25===c?r<50?NOr(r+1|0,i,n,t):Gx(NOr,[0,i,n,t]):iOr()}function LOr(r,e,n,t,a){var u=n[11],i=n[12],c=Aw(t,n),f=FWr(1,fOr([0,u,i]));return r<50?COr(r+1|0,e,n,t,i,u,f,a,c):Gx(COr,[0,e,n,t,i,u,f,a,c])}function COr(r,e,n,t,a,u,i,c,f){switch(c){case 16:var o=e[1],s=o[3],l=o[2],v=o[1],b=FWr(e[2],fOr([0,e[3],e[4]])),p=FWr([0,b,i],fOr([0,s,a]));return r<50?YOr(r+1|0,v,n,t,a,s,p,l,f):Gx(YOr,[0,v,n,t,a,s,p,l,f]);case 17:var d=e[3],h=e[2],m=e[1],k=FWr([4,i],fOr([0,d,a]));return r<50?COr(r+1|0,m,n,t,a,d,k,h,f):Gx(COr,[0,m,n,t,a,d,k,h,f]);case 19:var y=e[5],x=e[4],w=e[3],_=e[2],g=e[1],N=[0,x,y];try{NFr(w)}catch(u){var I=Zx(u);if(I===SRr)throw Nm([0,jWr,fOr(N),JW],1);throw Nm(I,0)}var T=FWr(w,fOr([0,x,y])),A=fOr([0,x,a]),M=fOr([0,x,y]),U=FWr([0,FWr([1,T[2]],M),i],A);return r<50?njr(r+1|0,g,n,t,U,_,f):Gx(njr,[0,g,n,t,U,_,f]);case 23:case 35:return r<50?kjr(r+1|0,e,n,t,a,u,i,c,f):Gx(kjr,[0,e,n,t,a,u,i,c,f]);case 24:var B=e[5],E=e[4],L=e[3],C=e[2],R=e[1],D=[0,E,B];try{NFr(L)}catch(u){var F=Zx(u);if(F===SRr)throw Nm([0,jWr,fOr(D),zW],1);throw Nm(F,0)}var X=FWr(L,fOr([0,E,B])),S=FWr([0,[0,X],i],fOr([0,E,a]));return r<50?yjr(r+1|0,R,n,t,S,C,f):Gx(yjr,[0,R,n,t,S,C,f]);case 25:case 33:return r<50?Djr(r+1|0,e,n,t,a,u,i,c,f):Gx(Djr,[0,e,n,t,a,u,i,c,f]);case 26:var P=e[3],W=e[2],H=e[1],O=FWr([3,i],fOr([0,P,a]));return r<50?COr(r+1|0,H,n,t,a,P,O,W,f):Gx(COr,[0,H,n,t,a,P,O,W,f]);case 31:var j=e[4],q=e[2],V=e[1],$=e[3],z=[0,j,e[5]],Y=fOr([0,j,a]),G=fOr(z),Q=FWr([0,FWr([0,lFr($)],G),i],Y);return r<50?njr(r+1|0,V,n,t,Q,q,f):Gx(njr,[0,V,n,t,Q,q,f]);case 32:var Z=e[5],J=e[4],K=e[2],rr=e[1],er=FWr(e[3],fOr([0,J,Z])),nr=fOr([0,J,a]),tr=fOr([0,J,Z]),ar=FWr([0,FWr([1,er[2]],tr),i],nr);return r<50?njr(r+1|0,rr,n,t,ar,K,f):Gx(njr,[0,rr,n,t,ar,K,f]);case 34:var ur=e[4],ir=e[2],cr=e[1],fr=FWr(e[3],fOr([0,ur,e[5]])),or=FWr([0,[0,fr],i],fOr([0,ur,a]));return r<50?yjr(r+1|0,cr,n,t,or,ir,f):Gx(yjr,[0,cr,n,t,or,ir,f]);case 50:case 51:return r<50?ROr(r+1|0,e,n,t,a,u,i,c,f):Gx(ROr,[0,e,n,t,a,u,i,c,f]);default:return sOr()}}function ROr(r,e,n,t,a,u,i,c,f){if("number"==typeof f){if(5===f){var o=[0,i,0];return r<50?WOr(r+1|0,e,n,t,o,c):Gx(WOr,[0,e,n,t,o,c])}if(24===f){var s=[0,e,c,i,u,a],l=Aw(t,n);if("number"==typeof l)switch(l){case 0:return r<50?wOr(r+1|0,s,n,t,51):Gx(wOr,[0,s,n,t,51]);case 1:return r<50?_Or(r+1|0,s,n,t,51):Gx(_Or,[0,s,n,t,51]);case 3:return r<50?IOr(r+1|0,s,n,t,51):Gx(IOr,[0,s,n,t,51]);case 5:return r<50?POr(r+1|0,s,n,t,0):Gx(POr,[0,s,n,t,0]);case 6:return r<50?BOr(r+1|0,s,n,t,51):Gx(BOr,[0,s,n,t,51]);case 9:return r<50?LOr(r+1|0,s,n,t,51):Gx(LOr,[0,s,n,t,51]);case 11:return r<50?DOr(r+1|0,s,n,t,51):Gx(DOr,[0,s,n,t,51]);case 19:return r<50?XOr(r+1|0,s,n,t,51):Gx(XOr,[0,s,n,t,51]);case 26:return r<50?SOr(r+1|0,s,n,t,51):Gx(SOr,[0,s,n,t,51])}else if(2===l[0]){var v=l[1];return r<50?FOr(r+1|0,s,n,t,v,51):Gx(FOr,[0,s,n,t,v,51])}return iOr()}}return iOr()}function DOr(r,e,n,t,a){for(var u=e,i=a;;){var c=[0,u,i,n[11]],f=26,o=Aw(t,n);if("number"==typeof o)switch(o){case 0:return r<50?wOr(r+1|0,c,n,t,f):Gx(wOr,[0,c,n,t,f]);case 1:return r<50?_Or(r+1|0,c,n,t,f):Gx(_Or,[0,c,n,t,f]);case 3:return r<50?IOr(r+1|0,c,n,t,f):Gx(IOr,[0,c,n,t,f]);case 6:return r<50?BOr(r+1|0,c,n,t,f):Gx(BOr,[0,c,n,t,f]);case 9:return r<50?LOr(r+1|0,c,n,t,f):Gx(LOr,[0,c,n,t,f]);case 11:u=c,i=f;continue;case 19:return r<50?XOr(r+1|0,c,n,t,f):Gx(XOr,[0,c,n,t,f]);case 26:return r<50?SOr(r+1|0,c,n,t,f):Gx(SOr,[0,c,n,t,f])}else if(2===o[0]){var s=o[1];return r<50?FOr(r+1|0,c,n,t,s,f):Gx(FOr,[0,c,n,t,s,f])}return iOr()}}function FOr(r,e,n,t,a,u){var i=n[11],c=n[12],f=Aw(t,n),o=oOr(c,i,a);return r<50?COr(r+1|0,e,n,t,c,i,o,u,f):Gx(COr,[0,e,n,t,c,i,o,u,f])}function XOr(r,e,n,t,a){var u=[0,e,a,n[11]],i=Aw(t,n);return"number"==typeof i&&16===i?r<50?MOr(r+1|0,u,n,t,27):Gx(MOr,[0,u,n,t,27]):iOr()}function SOr(r,e,n,t,a){var u=n[11],i=n[12],c=Aw(t,n),f=FWr(0,fOr([0,u,i]));return r<50?COr(r+1|0,e,n,t,i,u,f,a,c):Gx(COr,[0,e,n,t,i,u,f,a,c])}function POr(r,e,n,t,a){var u=e[2],i=e[1],c=[0,e[3],a];return r<50?WOr(r+1|0,i,n,t,c,u):Gx(WOr,[0,i,n,t,c,u])}function WOr(r,e,n,t,a,u){return 50===u?r<50?HOr(r+1|0,e,n,t,a):Gx(HOr,[0,e,n,t,a]):51===u?r<50?POr(r+1|0,e,n,t,a):Gx(POr,[0,e,n,t,a]):sOr()}function HOr(r,e,n,t,a){var u=n[12],i=Aw(t,n),c=[0,e[1],a];if("number"==typeof i)switch(i){case 4:case 22:return r<50?OOr(r+1|0,c,n,t,u,0,i):Gx(OOr,[0,c,n,t,u,0,i])}else if(0===i[0]){var f=i[1],o=n[12],s=n[11],l=Aw(t,n),v=[0,s,o];try{NFr(f)}catch(i){var b=Zx(i);if(b===SRr)throw Nm([0,jWr,fOr(v),YW],1);throw Nm(b,0)}var p=[0,f];return r<50?OOr(r+1|0,c,n,t,o,p,l):Gx(OOr,[0,c,n,t,o,p,l])}return iOr()}function OOr(r,e,n,t,a,u,i){var c=e[1],f=c[1],o=f[5],s=f[4],l=f[2],v=f[1],b=e[2],p=c[3],d=FWr(f[3],fOr([0,s,o])),h=[0,s,o],m=[0,s,a];if(d[2]!==Oa){var k=d[2];throw Nm([0,jWr,fOr(h),k],1)}var y=FWr([0,p,b,u],fOr(m));if("number"==typeof i){if(4===i){var x=n[12],w=[0,[0,v,l,y,s,a],x],_=Aw(t,n);if("number"==typeof _){if(22===_)return function(r,e,n,t){return Yx(vOr(0,r,e,n,t))}(w,n,x,0)}else if(2===_[0]){var g=_[1];return r<50?jOr(r+1|0,w,n,t,g,52):Gx(jOr,[0,w,n,t,g,52])}return iOr()}if(22===i)return function(r,e,n,t,a,u){return Yx(bOr(0,r,e,n,t,a,u))}(v,n,a,s,[0,y,0],l)}return iOr()}function jOr(r,e,n,t,a,u){var i=[0,e,u,a,n[11],n[12]],c=Aw(t,n);if("number"==typeof c){if(26===c)return r<50?zOr(r+1|0,i,n,t,47):Gx(zOr,[0,i,n,t,47])}else if(0===c[0]){var f=c[1];return r<50?qOr(r+1|0,i,n,t,f,47):Gx(qOr,[0,i,n,t,f,47])}return iOr()}function qOr(r,e,n,t,a,u){var i=n[11],c=n[12],f=Aw(t,n),o=[0,i,c];try{NFr(a)}catch(u){var s=Zx(u);if(s===SRr)throw Nm([0,jWr,fOr(o),ZW],1);throw Nm(s,0)}var l=[1,a];return r<50?VOr(r+1|0,e,n,t,l,u,f):Gx(VOr,[0,e,n,t,l,u,f])}function VOr(r,e,n,t,a,u,i){if(47<=u)switch(u-47|0){case 0:if("number"==typeof i&&13<=i)switch(i-13|0){case 0:var c=[0,e,u,a],f=Aw(t,n);if("number"==typeof f){if(26===f)return r<50?zOr(r+1|0,c,n,t,48):Gx(zOr,[0,c,n,t,48])}else if(0===f[0]){var o=f[1];return r<50?qOr(r+1|0,c,n,t,o,48):Gx(qOr,[0,c,n,t,o,48])}return iOr();case 1:var s=Aw(t,n),l=[0,[0,0,a]];return r<50?$Or(r+1|0,e,n,t,l,u,s):Gx($Or,[0,e,n,t,l,u,s]);case 7:var v=[0,e,u,a],b=Aw(t,n);if("number"==typeof b){if(26===b)return r<50?zOr(r+1|0,v,n,t,49):Gx(zOr,[0,v,n,t,49])}else if(0===b[0]){var p=b[1];return r<50?qOr(r+1|0,v,n,t,p,49):Gx(qOr,[0,v,n,t,p,49])}return iOr();case 12:var d=Aw(t,n),h=[0,[0,1,a]];return r<50?$Or(r+1|0,e,n,t,h,u,d):Gx($Or,[0,e,n,t,h,u,d])}return iOr();case 1:if("number"==typeof i&&25===i){var m=Aw(t,n),k=e[2],y=e[1],x=[1,[0,0,e[3],a]];return r<50?$Or(r+1|0,y,n,t,x,k,m):Gx($Or,[0,y,n,t,x,k,m])}return iOr();case 2:if("number"==typeof i&&25===i){var w=Aw(t,n),_=e[2],g=e[1],N=[1,[0,1,e[3],a]];return r<50?$Or(r+1|0,g,n,t,N,_,w):Gx($Or,[0,g,n,t,N,_,w])}return iOr()}return sOr()}function $Or(r,e,n,t,a,u,i){if("number"==typeof i&&16===i){var c=[0,[0,e,u,a],n[11]],f=Aw(t,n);if("number"==typeof f)switch(f){case 0:return r<50?wOr(r+1|0,c,n,t,50):Gx(wOr,[0,c,n,t,50]);case 1:return r<50?_Or(r+1|0,c,n,t,50):Gx(_Or,[0,c,n,t,50]);case 3:return r<50?IOr(r+1|0,c,n,t,50):Gx(IOr,[0,c,n,t,50]);case 5:return r<50?HOr(r+1|0,c,n,t,0):Gx(HOr,[0,c,n,t,0]);case 6:return r<50?BOr(r+1|0,c,n,t,50):Gx(BOr,[0,c,n,t,50]);case 9:return r<50?LOr(r+1|0,c,n,t,50):Gx(LOr,[0,c,n,t,50]);case 11:return r<50?DOr(r+1|0,c,n,t,50):Gx(DOr,[0,c,n,t,50]);case 19:return r<50?XOr(r+1|0,c,n,t,50):Gx(XOr,[0,c,n,t,50]);case 26:return r<50?SOr(r+1|0,c,n,t,50):Gx(SOr,[0,c,n,t,50])}else if(2===f[0]){var o=f[1];return r<50?FOr(r+1|0,c,n,t,o,50):Gx(FOr,[0,c,n,t,o,50])}return iOr()}return iOr()}function zOr(r,e,n,t,a){var u=Aw(t,n);if("number"!=typeof u&&0===u[0]){var i=u[1],c=Aw(t,n),f=[0,i];return r<50?VOr(r+1|0,e,n,t,f,a,c):Gx(VOr,[0,e,n,t,f,a,c])}return iOr()}function YOr(r,e,n,t,a,u,i,c,f){if(15===c)return r<50?ZOr(r+1|0,e,n,t,a,u,i,c,f):Gx(ZOr,[0,e,n,t,a,u,i,c,f]);if(44<=c)switch(c-44|0){case 0:case 9:return r<50?ZOr(r+1|0,e,n,t,a,u,i,c,f):Gx(ZOr,[0,e,n,t,a,u,i,c,f]);case 1:var o=[0,e,c,i,u,a];if("number"==typeof f&&4===f){var s=n[12],l=[0,o,s],v=Aw(t,n);r:{if("number"==typeof v)switch(v){case 2:return r<50?xOr(r+1|0,l,n,t,53):Gx(xOr,[0,l,n,t,53]);case 18:return r<50?GOr(r+1|0,l,n,t,53):Gx(GOr,[0,l,n,t,53]);case 22:break;default:break r}else if(2!==v[0])break r;return r<50?QOr(r+1|0,l,n,t,s,0,v):Gx(QOr,[0,l,n,t,s,0,v])}return iOr()}return iOr()}return sOr()}function GOr(r,e,n,t,a){var u=n[11],i=Aw(t,n);if("number"!=typeof i&&0===i[0]){var c=i[1],f=n[12],o=n[11],s=Aw(t,n),l=[0,o,f];try{NFr(c)}catch(f){var v=Zx(f);if(v===SRr)throw Nm([0,jWr,fOr(l),KW],1);throw Nm(v,0)}var b=FWr([1,c,[0,rH]],fOr([0,u,f]));return r<50?YOr(r+1|0,e,n,t,f,u,b,a,s):Gx(YOr,[0,e,n,t,f,u,b,a,s])}return iOr()}function QOr(r,e,n,t,a,u,i){var c=e[1],f=[0,c[1],c[2],[0,c[3],u],c[4],a];if("number"==typeof i){if(22===i)return lOr(f,n,a,a,0)}else if(2===i[0]){var o=i[1];return r<50?jOr(r+1|0,f,n,t,o,46):Gx(jOr,[0,f,n,t,o,46])}return iOr()}function ZOr(r,e,n,t,a,u,i,c,f){r:{if("number"==typeof f)switch(f){case 4:var o=n[12],s=[0,[0,e,c,i,u,a],o],l=Aw(t,n);e:{if("number"==typeof l)switch(l){case 2:return r<50?xOr(r+1|0,s,n,t,44):Gx(xOr,[0,s,n,t,44]);case 18:return r<50?GOr(r+1|0,s,n,t,44):Gx(GOr,[0,s,n,t,44]);case 3:case 22:break;default:break e}else if(2!==l[0])break e;return r<50?JOr(r+1|0,s,n,t,o,0,l):Gx(JOr,[0,s,n,t,o,0,l])}return iOr();case 3:case 22:break;default:break r}else if(2!==f[0])break r;var v=[0,i,0];return r<50?KOr(r+1|0,e,n,t,a,u,v,c,f):Gx(KOr,[0,e,n,t,a,u,v,c,f])}return iOr()}function JOr(r,e,n,t,a,u,i){var c=e[1],f=c[4],o=c[2],s=c[1],l=[0,c[3],u];return r<50?KOr(r+1|0,s,n,t,a,f,l,o,i):Gx(KOr,[0,s,n,t,a,f,l,o,i])}function KOr(r,e,n,t,a,u,i,c,f){return 15===c?r<50?rjr(r+1|0,e,n,t,a,u,i,c,f):Gx(rjr,[0,e,n,t,a,u,i,c,f]):44===c?r<50?JOr(r+1|0,e,n,t,a,i,f):Gx(JOr,[0,e,n,t,a,i,f]):53<=c?r<50?QOr(r+1|0,e,n,t,a,i,f):Gx(QOr,[0,e,n,t,a,i,f]):sOr()}function rjr(r,e,n,t,a,u,i,c,f){var o=[0,e,c,i,u,a];if("number"==typeof f){if(3===f){var s=[0,o,n[11]],l=Aw(t,n);if("number"==typeof l){if(25===l){return r<50?ejr(r+1|0,s,n,t,0,l):Gx(ejr,[0,s,n,t,0,l])}}else if(2===l[0]){var v=n[11],b=n[12],p=Aw(t,n);fOr([0,v,b]);return r<50?ejr(r+1|0,s,n,t,0,p):Gx(ejr,[0,s,n,t,0,p])}return iOr()}if(22===f)return pOr(o,n,a,a,0,f)}return iOr()}function ejr(r,e,n,t,a,u){var i=[0,e,a];if("number"==typeof u&&25===u){var c=Aw(t,n);if("number"==typeof 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r<50?ijr(r+1|0,c,n,t,l,38):Gx(ijr,[0,c,n,t,l,38])}if(7!==f)return iOr();return r<50?fjr(r+1|0,c,n,t,0):Gx(fjr,[0,c,n,t,0])}if(7===i){var v=[0,a,0];return r<50?ojr(r+1|0,e,n,t,v,u):Gx(ojr,[0,e,n,t,v,u])}}return iOr()}function ajr(r,e,n,t,a,u){var i=n[11],c=n[12],f=Aw(t,n);if("number"==typeof f){var o=f-4|0;if(3>>0){if(21===o){var s=[0,e,u,a,i,c];return r<50?ujr(r+1|0,s,n,t):Gx(ujr,[0,s,n,t])}}else if(1>>0){var l=fOr([0,i,c]),v=FWr(jW,XWr),b=fOr([0,i,c]),p=FWr([0,FWr([0,lFr(a)],b),v],l);return r<50?tjr(r+1|0,e,n,t,p,u,f):Gx(tjr,[0,e,n,t,p,u,f])}}return iOr()}function ujr(r,e,n,t){var a=31,u=Aw(t,n);if("number"==typeof u)switch(u){case 0:return r<50?wOr(r+1|0,e,n,t,a):Gx(wOr,[0,e,n,t,a]);case 1:return r<50?_Or(r+1|0,e,n,t,a):Gx(_Or,[0,e,n,t,a]);case 3:return r<50?IOr(r+1|0,e,n,t,a):Gx(IOr,[0,e,n,t,a]);case 6:return r<50?BOr(r+1|0,e,n,t,a):Gx(BOr,[0,e,n,t,a]);case 9:return r<50?LOr(r+1|0,e,n,t,a):Gx(LOr,[0,e,n,t,a]);case 11:return r<50?DOr(r+1|0,e,n,t,a):Gx(DOr,[0,e,n,t,a]);case 19:return r<50?XOr(r+1|0,e,n,t,a):Gx(XOr,[0,e,n,t,a]);case 26:return r<50?SOr(r+1|0,e,n,t,a):Gx(SOr,[0,e,n,t,a])}else if(2===u[0]){var i=u[1];return r<50?FOr(r+1|0,e,n,t,i,a):Gx(FOr,[0,e,n,t,i,a])}return iOr()}function ijr(r,e,n,t,a,u){var i=n[11],c=n[12],f=Aw(t,n);if("number"==typeof f){var o=f-4|0;if(3>>0){if(21===o){var s=[0,e,u,a,i,c];return r<50?cjr(r+1|0,s,n,t):Gx(cjr,[0,s,n,t])}}else if(1>>0){var l=FWr(a,fOr([0,i,c])),v=fOr([0,i,c]),b=FWr($W,XWr),p=fOr([0,i,c]),d=FWr([0,FWr([1,l[2]],p),b],v);return r<50?tjr(r+1|0,e,n,t,d,u,f):Gx(tjr,[0,e,n,t,d,u,f])}}return iOr()}function cjr(r,e,n,t){var a=32,u=Aw(t,n);if("number"==typeof u)switch(u){case 0:return r<50?wOr(r+1|0,e,n,t,a):Gx(wOr,[0,e,n,t,a]);case 1:return r<50?_Or(r+1|0,e,n,t,a):Gx(_Or,[0,e,n,t,a]);case 3:return r<50?IOr(r+1|0,e,n,t,a):Gx(IOr,[0,e,n,t,a]);case 6:return r<50?BOr(r+1|0,e,n,t,a):Gx(BOr,[0,e,n,t,a]);case 9:return r<50?LOr(r+1|0,e,n,t,a):Gx(LOr,[0,e,n,t,a]);case 11:return r<50?DOr(r+1|0,e,n,t,a):Gx(DOr,[0,e,n,t,a]);case 19:return r<50?XOr(r+1|0,e,n,t,a):Gx(XOr,[0,e,n,t,a]);case 26:return r<50?SOr(r+1|0,e,n,t,a):Gx(SOr,[0,e,n,t,a])}else if(2===u[0]){var i=u[1];return r<50?FOr(r+1|0,e,n,t,i,a):Gx(FOr,[0,e,n,t,i,a])}return iOr()}function fjr(r,e,n,t,a){var u=e[1],i=u[2],c=u[1],f=[0,u[3],a];return r<50?ojr(r+1|0,c,n,t,f,i):Gx(ojr,[0,c,n,t,f,i])}function ojr(r,e,n,t,a,u){return 18===u?r<50?sjr(r+1|0,e,n,t,a):Gx(sjr,[0,e,n,t,a]):38===u?r<50?fjr(r+1|0,e,n,t,a):Gx(fjr,[0,e,n,t,a]):sOr()}function sjr(r,e,n,t,a){var u=n[12],i=Aw(t,n),c=e[1],f=c[3],o=c[2],s=c[1],l=FWr([6,a],fOr([0,f,u]));return r<50?COr(r+1|0,s,n,t,u,f,l,o,i):Gx(COr,[0,s,n,t,u,f,l,o,i])}function ljr(r,e,n,t,a,u,i){function c(r){return a}return r<50?vjr(r+1|0,e,n,t,c,u,i):Gx(vjr,[0,e,n,t,c,u,i])}function vjr(r,e,n,t,a,u,i){if("number"==typeof i){if(4===i){var c=[0,[0,e,u,a],n[12]],f=Aw(t,n);if("number"==typeof f)switch(f){case 0:return r<50?wOr(r+1|0,c,n,t,33):Gx(wOr,[0,c,n,t,33]);case 1:return r<50?_Or(r+1|0,c,n,t,33):Gx(_Or,[0,c,n,t,33]);case 3:return r<50?IOr(r+1|0,c,n,t,33):Gx(IOr,[0,c,n,t,33]);case 6:return r<50?BOr(r+1|0,c,n,t,33):Gx(BOr,[0,c,n,t,33]);case 7:return r<50?djr(r+1|0,c,n,t,0):Gx(djr,[0,c,n,t,0]);case 9:return r<50?LOr(r+1|0,c,n,t,33):Gx(LOr,[0,c,n,t,33]);case 11:return r<50?DOr(r+1|0,c,n,t,33):Gx(DOr,[0,c,n,t,33]);case 19:return r<50?XOr(r+1|0,c,n,t,33):Gx(XOr,[0,c,n,t,33]);case 26:return r<50?SOr(r+1|0,c,n,t,33):Gx(SOr,[0,c,n,t,33]);default:return iOr()}switch(f[0]){case 0:var o=f[1];return r<50?EOr(r+1|0,c,n,t,o,33):Gx(EOr,[0,c,n,t,o,33]);case 1:var s=f[1];return r<50?bjr(r+1|0,c,n,t,s,33):Gx(bjr,[0,c,n,t,s,33]);default:var l=f[1];return r<50?pjr(r+1|0,c,n,t,l,33):Gx(pjr,[0,c,n,t,l,33])}}if(7===i){var v=[0,a,0];return r<50?hjr(r+1|0,e,n,t,v,u):Gx(hjr,[0,e,n,t,v,u])}}return iOr()}function bjr(r,e,n,t,a,u){var i=[0,e,u,a,n[11],n[12]],c=Aw(t,n);return"number"==typeof c&&25===c?r<50?ujr(r+1|0,i,n,t):Gx(ujr,[0,i,n,t]):iOr()}function pjr(r,e,n,t,a,u){var i=n[11],c=n[12],f=Aw(t,n);if("number"==typeof f){var o=f-4|0;if(3>>0){if(21===o){var s=[0,e,u,a,i,c];return r<50?cjr(r+1|0,s,n,t):Gx(cjr,[0,s,n,t])}}else if(1>>0){var l=oOr(c,i,a);return r<50?COr(r+1|0,e,n,t,c,i,l,u,f):Gx(COr,[0,e,n,t,c,i,l,u,f])}}return iOr()}function djr(r,e,n,t,a){var u=e[1],i=u[2],c=u[1],f=[0,u[3],a];return r<50?hjr(r+1|0,c,n,t,f,i):Gx(hjr,[0,c,n,t,f,i])}function hjr(r,e,n,t,a,u){return 25===u?r<50?mjr(r+1|0,e,n,t,a):Gx(mjr,[0,e,n,t,a]):33===u?r<50?djr(r+1|0,e,n,t,a):Gx(djr,[0,e,n,t,a]):sOr()}function mjr(r,e,n,t,a){var u=n[12],i=Aw(t,n),c=e[1];var f=function r(e,n){if(!n)return 0;var t=n[2],a=Aw(n[1],e),u=a[2][1][2];switch(u[0]){case 0:var i=u[1]+1|0;break;case 1:i=IHr(u[1])+1|0;break;default:i=u[1]+1|0}return[0,a,r(i,t)]}(0,a),o=c[3],s=c[2],l=c[1],v=FWr([5,f],fOr([0,o,u]));return r<50?COr(r+1|0,l,n,t,u,o,v,s,i):Gx(COr,[0,l,n,t,u,o,v,s,i])}function kjr(r,e,n,t,a,u,i,c,f){var o=FWr([0,0,i],fOr([0,u,a]));return r<50?yjr(r+1|0,e,n,t,o,c,f):Gx(yjr,[0,e,n,t,o,c,f])}function yjr(r,e,n,t,a,u,i){if("number"==typeof 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o=f+-24|0;if(1>>0){if(-19!==o)break r}else if(o){var s=[0,e,u,a,i,c],l=34,v=Aw(t,n);if("number"==typeof v)switch(v){case 0:return r<50?wOr(r+1|0,s,n,t,l):Gx(wOr,[0,s,n,t,l]);case 1:return r<50?_Or(r+1|0,s,n,t,l):Gx(_Or,[0,s,n,t,l]);case 3:return r<50?IOr(r+1|0,s,n,t,l):Gx(IOr,[0,s,n,t,l]);case 6:return r<50?BOr(r+1|0,s,n,t,l):Gx(BOr,[0,s,n,t,l]);case 9:return r<50?LOr(r+1|0,s,n,t,l):Gx(LOr,[0,s,n,t,l]);case 11:return r<50?DOr(r+1|0,s,n,t,l):Gx(DOr,[0,s,n,t,l]);case 19:return r<50?XOr(r+1|0,s,n,t,l):Gx(XOr,[0,s,n,t,l]);case 26:return r<50?SOr(r+1|0,s,n,t,l):Gx(SOr,[0,s,n,t,l])}else if(2===v[0]){var b=v[1];return r<50?FOr(r+1|0,s,n,t,b,l):Gx(FOr,[0,s,n,t,b,l])}return iOr()}var p=oOr(c,i,a);return r<50?COr(r+1|0,e,n,t,c,i,p,u,f):Gx(COr,[0,e,n,t,c,i,p,u,f])}return iOr()}function wjr(r,e,n,t,a){var u=e[2],i=e[1],c=[0,e[3],a];return r<50?_jr(r+1|0,i,n,t,c,u):Gx(_jr,[0,i,n,t,c,u])}function _jr(r,e,n,t,a,u){return 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Me=e[1],Ue=h0r(zKr(a,Ne,ge),ke,_e,we,[0,ne],Me),Be=d1r(0!==ke?MKr:UKr,Ue,ae),Ee=Be[1],Le=x$r[48].call(null,ye,Be[2]),Ce=iA((function(r){return w0r(Ue,r)}),Te);be[3]=Eqr(Ce);var Re=Lqr(Ae,(function(r){return[1,KT(_e),0]}),Ce);if(1-a[13]){var De=[0,Ue[1],Ue[2],Ue[3],Ue[4],Ue[5],Ue[6],x$r[1],[0,Re],Ue[9],Ue[10],Ue[11],Ue[12],Ue[13],Ue[14],Ue[15],Ue[16],Ue[17],Ue[18],Ue[19],Ue[20],Ue[21],Ue[22],Ue[23],Ue[24],Ue[25],Ue[26]],Fe=SKr(De);n1r($Kr(De,Le),Re,ne),PKr(a,Le,Fe);r:if(0!==ke){switch(s0r(a,e[1],we),1-LVr(Ee)&&Mw(c0r(a,Ee,ae[1],QK,GK),bKr,Ee),oA((function(r){var e=1-LVr(r);return e?Mw(c0r(a,r,be[1],VJ,qJ),bKr,r):e}),Ce),Ae){case 0:if(!Ce&&py(ke,ZK)){var Xe=ne[2];e:{if(46===Xe[0]){var Se=Xe[1][2];if(41===Se[0]){var Pe=Se[1][2];if(38===Pe[0]&&!Pe[1]&&!Pe[2]){var We=Se[2][2];if(8===We[0]&&!We[1]){var He=We[3][2];if(6===He[0]&&!He[1]){var Oe=1;break e}}}}}Oe=0}if(!(1-Oe))break r;AKr(0,0,0,a,ne[1],"M0078",JK);break r}break;case 1:if(!(1-VQr(ne)))break r;AKr(0,0,0,a,ne[1],"M0079",KK);break r}Mw(AKr(0,0,0,a,be[1],e0,r0),bKr,Re)}}var je=ae[2];if("number"==typeof je||3!==je[0])qe=[0,Ee,0];else var qe=iVr(Ee);var Ve=iA((function(r){return Sqr(_e,r)}),Ce),$e=iA((function(r){return Sqr(_e,r)}),qe);return[8,ke,Ae,Pqr(_e,we),$e,Ve];case 24:var ze=u[2],Ye=u[1],Ge=s1r(a,ze,u[3],u[4],e[1],0);return 1-a[13]&&E1r(a,[0,ze[3][1]],Ye),Ge;case 25:return C1r(a,u[1],e[1],0)[1];case 26:var Qe=u[1];return 1-a[13]&&n1r(a,k_,Qe),k_;case 27:var Ze=u[2],Je=u[1];return 1-a[13]&&(n1r(a,k_,Je),n1r(a,k_,Ze)),k_;case 28:var Ke=u[2],rn=u[1];return 1-a[13]&&(n1r(a,k_,rn),n1r(a,k_,Ke)),k_;case 29:var en=u[3],nn=u[2],tn=u[1];1-a[13]&&n1r(a,k_,tn);var an=Z0r(J0r,tVr,a,nn),un=Z0r(J0r,tVr,a,en),cn=k$r([0,a[24]],an,un),fn=1-a[13];return(fn?p1r(cn,[0,an,[0,un,0]]):fn)&&Lw(UKr(0,0,0,a,e[1],t0,n0),vKr,cn,bKr,an,bKr,un),cn;case 30:var on=u[2],sn=G0r(a,u[1]),ln=v1r(a,sn,1,on);return 1-a[13]&&KKr(UKr,a0,a,dJr,on,sn,e[1]),ln;case 31:var vn=u[3],bn=u[2],pn=u[1];return 1-a[13]&&(n1r(a,k_,pn),c1r(a,bn,vn,m_)),m_;case 32:var dn=u[2],hn=u[1];if(!dn){var mn=u[3];return 1-a[13]&&c1r(a,hn,mn,1),1}var kn=u[3],yn=dn[1];return 1-a[13]&&(c1r(a,hn,kn,m_),n1r(a,k_,yn)),m_;case 33:var xn=u[2],wn=u[4],_n=u[3],gn=u[1];if(1-a[13]){var Nn=G0r(a,xn);try{var In=$qr(mVr(i0,fVr(u0,Nn)[2]));r:{if("number"==typeof In){if(1===In){var Tn=bq;break r}}else if(8===In[0]&&!In[3]){var An=In[4],Mn=Eqr(In[5]);Tn=[0,Eqr(An),Mn];break r}Tn=Jqr("as_mono_func_sub")}var Un=Tn[2];if(1-GKr(a,xn[1],m_,Tn[1]))throw Nm([0,Sw,c0],1);c1r($Kr(a,y1r(UKr,a,lVr(Un),gn)),_n,wn,m_)}catch(bt){var Bn=Zx(bt);if(Bn[1]!==Sw&&Bn!==Hw)throw Nm(Bn,0);Mw(MKr(0,0,0,a,xn[1],"M0082",f0),bKr,Nn)}}return m_;case 34:var En=u[3],Ln=u[1],Cn=x0r(a,u[2]);return 1-a[13]&&a1r(OKr(a,Ln[2],Cn),Cn,En),Cn;case 35:var Rn=u[2],Dn=u[1];if(!Rn){var Fn=a[25],Xn=u[3];if(Fn){var Sn=Fn[1],Pn=Sn[1],Wn=Sn[2],Hn=Dn?(Pn[2]=1,m_):(Pn[1]=1,Wn);1-a[13]&&n1r(a,Hn,Xn)}else{var On=Dn?p0:d0;Aw(MKr(0,0,0,a,e[1],m0,h0),On)}return 1}var jn=Rn[1],qn=u[3],Vn=x$r[29].call(null,jn[2],a[7]);if(Vn){var $n=Vn[1];1-a[13]&&a1r(a,$n,qn)}else{var zn=yFr(o0,jn[2]);if(zn&&x$r[3].call(null,zn[1],a[7]))MKr(0,0,0,a,e[1],l0,s0);else{var Yn=a[7],Gn=PT(zn,jn[2]),Qn=jn[1],Zn=x$r[45].call(null,a[7]),Jn=FJr(b0,jn[2],Zn);Uw(MKr(0,[0,CKr(a,jn[1],Jn)],0,a,Qn,"M0083",v0),Gn,_Kr,Yn)}}return 1;case 36:var Kn=u[1];if(1-a[13]){var rt=a[8];if("number"==typeof rt)MKr(0,0,0,a,e[1],"M0085",k0);else if(0===rt[0]){var et=rt[1];"number"==typeof et&&2<=et?MKr(0,0,0,a,e[1],"M0084",y0):n1r(a,et,Kn)}else Mw(rt[1],a,Kn)}return 1;case 37:var nt=u[1];return 1-a[13]&&n1r(a,m_,nt),m_;case 38:var tt=u[4],at=u[3],ut=u[2],it=u[1];DKr(_0,a,tt[1],w0,0,0,0,x0),1-a[13]&&E1r(a,0,it);var ct=m0r(a,g0,e[1]),ft=ct[1],ot=ct[2],st=N0r(a,at),lt=st[1],vt=st[4],bt=zKr(a,x$r[4].call(null,w$r,lt,st[3]),vt),pt=bt[26],dt=bt[25],ht=bt[24],mt=bt[23],kt=bt[22],yt=bt[21],xt=bt[20],wt=bt[19],_t=bt[18],gt=bt[17],Nt=_qr[4].call(null,lt,e[1],a[16]),It=bt[15],Tt=bt[14],At=bt[13],Mt=bt[12],Ut=bt[11],Bt=bt[10],Et=ot(lt),Lt=Oqr([0,ft,0],Sqr([0,lt,0],Z0r(J0r,tVr,[0,bt[1],bt[2],bt[3],bt[4],bt[5],bt[6],x$r[1],N0,Et,Bt,Ut,Mt,At,Tt,It,Nt,gt,_t,wt,xt,yt,kt,mt,ht,dt,pt],tt)));return 1-LVr(Lt)&&Mw(c0r(a,Lt,tt[1],T0,I0),bKr,Lt),[9,ut,ft,Lt];case 39:var Ct=u[2],Rt=e[1],Dt=a[9];r:{var Ft=u[1];if("number"!=typeof Dt)switch(Dt[0]){case 3:break;case 2:case 5:var Xt=[1,Dt[1],0];break r;default:Aw(MKr(0,0,0,a,Rt,A8,T8),X_);Xt=[1,izr,0];break r}Aw(MKr(0,0,0,a,Rt,U8,M8),X_);Xt=[1,izr,0]}var St=G0r(a,Ct),Pt=Ft?0:1;try{var Wt=$qr(St);r:{if("number"==typeof Wt){if(1===Wt){var Ht=[0,Xt,1];break r}}else if(9===Wt[0]){var Ot=Wt[3],jt=Wt[2];if(Pt===Wt[1]){Ht=[0,jt,Ot];break r}}Ht=Jqr("as_async_sub")}var qt=Ht[1],Vt=Ht[2];if(1-ZKr(a,e[1],Xt,qt)){var $t=e[1],zt=e[1];Rw(MKr(0,0,0,a,Ct[1],"M0087",A0),P$r,Xt,P$r,qt,(function(r,e){return p0r(a,zt,r,e)}),Xt,(function(r,e){return p0r(a,$t,r,e)}),qt),d0r(a,Xt,e[1]),d0r(a,qt,e[1])}return Vt}catch(bt){var Yt=Zx(bt);if(Yt[1]!==Sw)throw Nm(Yt,0);var Gt=Gqr(St)?0===Pt?"\nUse keyword 'await*' (not 'await' or 'await?') to consume this type.":"\nUse keyword 'await' or 'await?' 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46:return trr;case 47:return arr;case 48:return urr;default:return irr}}function Y2r(r,e){var n=r[2],t=r[1],a=xZr(n,e+1|0);return _Zr((function(r){return xZr(t,r)}),xZr(n,e),a)}function G2r(r){if(0>=r)throw Nm([0,qw,qG],1);var e=r>>>1|0;return 1&r?z2r(e):$2r(e-1|0)}function Q2r(r){var e=4+r|0;if(py(z2r(e),[0,[1,r]]))return e;throw Nm([0,qw,jG],1)}function Z2r(r){if(py($2r(r),[0,[0,r]]))return r;throw Nm([0,qw,OG],1)}function J2r(r,e){var n=Z2r(e);return Z2r(r)-n|0}function K2r(r,e){var n=Q2r(e);return Q2r(r)-n|0}function r3r(r){return[0,r>>>10|0,r%al|0]}function e3r(r){if(0!==r&&1!==r)throw Nm([0,qw,HG],1);return 1===r?1:0}function n3r(r,e){var n=Z2r(e);return e3r(wZr(eir,Q2r(r),n))}function t3r(r,e,n,t){for(var a=r,u=t;;){if(a===e)return u;var i=Mw(n,a,u);a=a+1|0,u=i}}function a3r(r,e){return ZI(C_)}function u3r(r){return ZI(C_)}function i3r(r){var e=[];return Qx(e,[0,258,0,r,r,e]),L2r([0,0,[0,0,r,r],e,258],1)}var 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u=nk(n[2],n[5]);XM(n),hU(r,u);break;case 3:return s3r(e,n,Ifr);case 4:kU(r,FM(n,n[5],n[6]));break;default:return o3r(n,Tfr)}}}function b3r(r){return[0,r,[32,[0,r,Ngr,B_],0,[0,0,0]],B_]}var p3r=[0,0,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,2,2,3,4,1,1,2,1,2,3,4,5,1,1,2,3,1,2,1,1,1,2,3,1,2,3,4,5,6,1,2,1,2,3,4,1,2,1,1,2,3,4,5,6,1,7,8,1,1,1,2,1,2,1,1,1,2,1,1,1,3,1,2,3,1,1,2,3,2,3,2,3,2,3,1,2,2,9,4,5,6,7,8,3,4,5,3,4,2,3,5,6,7,2,3,4,5,6,7,3,4,1,2,3,4,5,6,7,8,3,4,5,6,7,2,3,2,3,4,1,2,3,2,3,2,3,2,4,2,3,2,3,1,2,1,1,2,3,2,3,3,2,3,2,3,6,7,8,3,4,5,6,7,2,3,4,3,2,3,5,6,7,8,9,4,5,6,7,8,3,4,5,1,2,3,1,2,3,1,2,1,3,2,3,2,2,2,2,3,1,1,2,1,3,1,1,2,1,1,1,2,3,2,3,4,2,3,1,2,3,2,3,2,2,3,1,2,3,2,1,3,4,1,2,3,1,2,3,2,3,1,0,1,2,1,1,1,1,2,1,1,2,1,1,2,3,4,1,2,3,4,5,6,7,3,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,1,1,1,1,1,1,2,3,1,2,1,2,1,1,1,2,1,2,1,3,4,5,6,1,2,3,4,5,2,3,4,1,2,3,4,5,6,3,4,5,2,1,7,8,1,1,1,1,1,1,1,1,2,1,1,2,3,4,5,6,7,1,2,3,2,1,8,3,4,5,6,7,3,4,5,6,7,3,4,5,1,1,2,3,4,5,6,3,4,5,6,3,4,5,1,2,3,4,5,2,3,4,5,2,3,4,1,2,3,4,5,2,3,4,5,2,3,4,1,2,3,1,2,1,1,1,1,2,3,4,5,1,2,3,2,3,1,1,2,1,2,3,1,2,3,1,1,2,1,1,1,2,3,1,1,1,1,2,2,1,1,2,1,2,3,3,4,2,3,2,1,2,1,2,1,2,1,1,1,2,1,2,1,2,1,1,2,3,1,1,2,3,4,1,2,3,2,1,1,1,2,1,1,2,1,2,3,4,5,6,7,8,9,4,5,6,7,8,4,5,6,7,8,4,5,6,7,1,4,5,6,7,4,5,6,7,8,1,2,3,4,1,2,3,1,1,1,2,3,1,1,2,1,1,2,3,1,2,1,2,3,4,1,1,2,3,2,1,1,2,1,1,2,1,2,3,1,1,1,1,1,1,1,2,1,2,3,4,5,2,3,4,5,2,2,3,4,1,1,1,2,1,1,1,1,1,2,1,2,1,3,2,3,2,3,2,3,2,3,2,3,2,3,2,1,2,1,1,1,1,1,1,2,1,2,1,1,1,1,2,3,2,3,1,1,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,3,4,2,2,3,2,2,1,1,2,1,2,3,1,2,3,1,1,1,3,2,2,2,2,2,2,2,2,5,6,7,3,4,5,2,4,2,3,4,1,2,3,2,3,2,3,4,2,5,6,7,2,4,2,3,3,4,5,6,2,3,1,2,3,4,4,5,1,2,3,4,5,6,7,8,4,5,6,7,8,4,5,6,7,4,5,6,7,8,1,2,3,4,5,6,3,4,5,6,7,1,2,3,6,7,1,6,6,7,8,1,2,3,2,3,1,2,2,3,2,2,3,3,4,5,3,4,2,2,2,2,3,2,4,4,3,4,2,3,2,2,2,3,4,3,4,5,6,2,3,4,5,6,7,6,7,8,1,2,3,4,5,6,2,3,1,1,1,1,2,3,2,3,6,2,3,2,3,1,2,3,2,3,9,4,5,6,7,3,4,2,3,4,1,2,3,3,4,5,3,3,4,5,5,1,2,3,2,3,4,5,1,2,3,2,3,2,3,4,5,1,2,3,2,2,2,3,4,5,2,2,2,2,2,2,2,3,4,3,4,5,5,2,3,3,4,2,2,3,4,1,0,1,2,3,4,1,2,3,1,2,3,1,0,1,1,2,3,4,5,6,7,3,4,1,2,3,2,3,2,3,4,5,1,2,3,4,5,2,3,4,1,2,3,4,5,2,3,4,6,7,8,9,1,2,3,4,5,2,3,4,1,2,3,2,3,10,11,12,1,2,3,2,3,4,5,6,1].slice(),d3r=[0,Tgr,[0,Igr,q_]],h3r=[0,[2,z_],Agr],m3r=[0,[2,h3r],Mgr],k3r=[0,[1,[0,83]],[0,Ugr,G_]],y3r=[0,[2,k3r],Bgr],x3r=[0,[2,y3r],Egr],w3r=[0,[2,x3r],Lgr],_3r=[0,[2,w3r],Cgr],g3r=[0,[2,w3r],Rgr],N3r=[0,Dgr,g3r],I3r=[0,[2,y3r],N3r],T3r=[0,[2,w3r],Fgr],A3r=[0,Xgr,T3r],M3r=[0,[2,y3r],A3r],U3r=[0,[1,[0,86]],M3r],B3r=[0,[2,w3r],Sgr],E3r=[0,Pgr,B3r],L3r=[0,[2,y3r],E3r],C3r=[0,[1,[0,86]],L3r],R3r=[0,[2,w3r],Wgr],D3r=[0,Hgr,R3r],F3r=[0,[2,w3r],Ogr],X3r=[0,jgr,F3r],S3r=[0,[2,y3r],X3r],P3r=[0,[1,[0,86]],S3r],W3r=[0,[2,w3r],qgr],H3r=[0,Vgr,W3r],O3r=[0,[2,y3r],H3r],j3r=[0,[1,[0,86]],O3r],q3r=[0,$gr,J_],V3r=[0,[2,_3r],zgr],$3r=[0,Ygr,V3r],z3r=[0,[1,[0,74]],q3r],Y3r=[0,[2,_3r],Ggr],G3r=[0,[1,[0,95]],Y3r],Q3r=[0,[2,_3r],Qgr],Z3r=[0,[1,[0,95]],Q3r],J3r=[0,[1,[0,86]],Z3r],K3r=[0,[2,w3r],Zgr],r4r=[0,Jgr,K3r],e4r=[0,[2,y3r],r4r],n4r=[0,[1,[0,86]],e4r],t4r=[0,[2,w3r],Kgr],a4r=[0,rNr,t4r],u4r=[0,[2,y3r],a4r],i4r=[0,[1,[0,86]],u4r],c4r=[0,[2,w3r],eNr],f4r=[0,nNr,c4r],o4r=[0,[2,y3r],f4r],s4r=[0,[2,w3r],tNr],l4r=[0,aNr,s4r],v4r=[0,[2,y3r],l4r],b4r=[0,[1,[0,86]],v4r],p4r=[0,[2,w3r],uNr],d4r=[0,iNr,p4r],h4r=[0,[2,y3r],d4r],m4r=[0,[1,[0,86]],h4r],k4r=[0,[2,_3r],cNr],y4r=[0,[2,_3r],fNr],x4r=[0,oNr,y4r],w4r=[0,[2,k3r],x4r],_4r=[0,[1,[0,86]],w4r],g4r=[0,[2,_3r],sNr],N4r=[0,lNr,g4r],I4r=[0,[2,k3r],N4r],T4r=[0,[1,[0,86]],I4r],A4r=[0,[2,_3r],vNr],M4r=[0,[2,_3r],bNr],U4r=[0,[2,m3r],pNr],B4r=[0,[2,U4r],dNr],E4r=[0,hNr,vg],L4r=[0,mNr,E4r],C4r=[0,[2,bg],kNr],R4r=[0,yNr,pg],D4r=[0,[2,dg],xNr],F4r=[0,wNr,hg],X4r=[0,[1,[0,95]],mg],S4r=[0,[0,5],X4r],P4r=[0,[2,_3r],[0,[0,19],0]],W4r=[0,[1,[0,95]],P4r],H4r=[0,[2,_3r],[0,[0,20],0]],O4r=[0,[1,[0,95]],H4r],j4r=[0,[1,[0,86]],O4r],q4r=[0,[2,dg],_Nr],V4r=[0,[1,[0,93]],q4r],$4r=[0,gNr,xg],z4r=[0,[1,[0,74]],$4r],Y4r=[0,[2,dg],[0,[0,8],0]],G4r=[0,[2,dg],NNr],Q4r=[0,[2,dg],INr],Z4r=[0,[1,[0,93]],Q4r],J4r=[0,TNr,wg],K4r=[0,[2,z_],ANr],r5r=[0,[1,[0,95]],_g],e5r=[0,[2,r5r],[0,[0,22],0]],n5r=[0,[0,5],e5r],t5r=[0,[2,K4r],n5r],a5r=[0,[1,[0,88]],t5r],u5r=[0,MNr,a5r],i5r=[0,UNr,gg],c5r=[0,[1,[0,74]],i5r],f5r=[0,[2,c5r],[0,[0,12],0]],o5r=[0,[2,f5r],BNr],s5r=[0,[0,5],o5r],l5r=[0,[2,K4r],s5r],v5r=[0,ENr,l5r],b5r=[0,[2,z_],LNr],p5r=[0,[1,[0,86]],b5r],d5r=[0,[2,z_],CNr],h5r=[0,[1,[0,86]],d5r],m5r=[0,[2,z_],RNr],k5r=[0,[1,[0,86]],m5r],y5r=[0,[2,z_],DNr],x5r=[0,[1,[0,86]],y5r],w5r=[0,[2,r5r],[0,[0,23],0]],_5r=[0,[0,5],w5r],g5r=[0,[2,K4r],_5r],N5r=[0,[1,[0,88]],g5r],I5r=[0,[2,f5r],FNr],T5r=[0,[0,5],I5r],A5r=[0,[2,K4r],T5r],M5r=[0,XNr,A5r],U5r=[0,[2,f5r],SNr],B5r=[0,[0,5],U5r],E5r=[0,[2,K4r],B5r],L5r=[0,[2,f5r],PNr],C5r=[0,[0,5],L5r],R5r=[0,[2,K4r],C5r],D5r=[0,WNr,Ig],F5r=[0,[2,c5r],HNr],X5r=[0,ONr,F5r],S5r=[0,[0,5],X5r],P5r=[0,[2,c5r],jNr],W5r=[0,qNr,P5r],H5r=[0,[2,f5r],VNr],O5r=[0,[0,5],H5r],j5r=[0,[2,c5r],$Nr],q5r=[0,zNr,j5r],V5r=[0,[2,c5r],YNr],$5r=[0,GNr,V5r],z5r=[0,[2,f5r],QNr],Y5r=[0,[0,5],z5r],G5r=[0,[2,c5r],ZNr],Q5r=[0,JNr,G5r],Z5r=[0,[2,c5r],KNr],J5r=[0,rIr,Z5r],K5r=[0,[2,f5r],eIr],r6r=[0,[0,5],K5r],e6r=[0,[2,c5r],[0,[0,27],0]],n6r=[0,nIr,Tg],t6r=[0,[1,[0,74]],n6r],a6r=[0,[1,[0,95]],Bg],u6r=[0,[2,B4r],a6r],i6r=[0,[2,dg],tIr],c6r=[0,[0,5],i6r],f6r=[0,[2,$_],aIr],o6r=[0,[2,f6r],uIr],s6r=[0,[2,dg],iIr],l6r=[0,[2,r5r],[0,[0,21],0]],v6r=[0,[0,5],l6r],b6r=[0,[2,dg],cIr],p6r=[0,[1,[0,34]],b6r],d6r=[0,[1,[1,87]],p6r],h6r=[0,[1,[0,78]],d6r],m6r=[0,[2,B4r],h6r],k6r=[0,[1,[0,74]],D5r],y6r=[0,[2,r5r],[0,[0,24],0]],x6r=[0,[0,5],y6r],w6r=[0,[2,K4r],x6r],_6r=[0,[1,[0,88]],w6r],g6r=[0,fIr,_6r],N6r=[0,[2,f5r],oIr],I6r=[0,[0,5],N6r],T6r=[0,[2,K4r],I6r],A6r=[0,sIr,T6r],M6r=[0,[2,f5r],lIr],U6r=[0,[0,5],M6r],B6r=[0,[2,K4r],U6r],E6r=[0,[2,f5r],vIr],L6r=[0,[0,5],E6r],C6r=[0,[2,K4r],L6r],R6r=[0,[2,f5r],bIr],D6r=[0,[0,5],R6r],F6r=[0,[2,K4r],D6r],X6r=[0,[2,f5r],pIr],S6r=[0,[0,5],X6r],P6r=[0,[2,K4r],S6r],W6r=[0,[2,f5r],dIr],H6r=[0,[0,5],W6r],O6r=[0,[2,dg],hIr],j6r=[0,[0,5],O6r],q6r=[0,[2,dg],mIr],V6r=[0,[2,dg],kIr],$6r=[0,[1,[0,34]],V6r],z6r=[0,[1,[1,87]],$6r],Y6r=[0,[1,[0,78]],z6r],G6r=[0,[2,B4r],Y6r],Q6r=[0,[2,c5r],yIr],Z6r=[0,xIr,Q6r],J6r=[0,[2,f5r],wIr],K6r=[0,[0,5],J6r],r8r=[0,[2,c5r],_Ir],e8r=[0,gIr,r8r],n8r=[0,[2,C4r],[0,[0,69],0]],t8r=[0,[2,dg],NIr],a8r=[0,IIr,t8r],u8r=[0,[1,[0,34]],a8r],i8r=[0,TIr,u8r],c8r=[0,[2,f5r],AIr],f8r=[0,[0,5],c8r],o8r=[0,[2,K4r],f8r],s8r=[0,MIr,o8r],l8r=[0,UIr,s8r],v8r=[0,[2,f5r],BIr],b8r=[0,[0,5],v8r],p8r=[0,[2,K4r],b8r],d8r=[0,[2,f5r],EIr],h8r=[0,[0,5],d8r],m8r=[0,[2,K4r],h8r],k8r=[0,[2,f5r],LIr],y8r=[0,[0,5],k8r],x8r=[0,[2,K4r],y8r],w8r=[0,[2,f5r],CIr],_8r=[0,[0,5],w8r],g8r=[0,[2,K4r],_8r],N8r=[0,RIr,g8r],I8r=[0,[2,f5r],DIr],T8r=[0,[0,5],I8r],A8r=[0,[2,K4r],T8r],M8r=[0,FIr,F6r],U8r=[0,XIr,M8r],B8r=[0,[2,dg],SIr],E8r=[0,PIr,B8r],L8r=[0,[1,[0,34]],E8r],C8r=[0,WIr,L8r],R8r=[0,[2,Wg],HIr],D8r=[0,[2,dg],[0,[0,9],0]],F8r=[0,[1,[0,83]],[0,[2,Vg],[0,OIr,Zg]]],X8r=[0,[2,bg],jIr],S8r=[0,[2,bg],[0,qIr,R8r]],P8r=[0,[1,[0,34]],S8r],W8r=[0,VIr,P8r],H8r=[0,$Ir,Jg],O8r=[0,zIr,H8r],j8r=[0,YIr,eN],q8r=[0,[1,[0,74]],j8r],V8r=[0,GIr,q8r],$8r=[0,QIr,V8r],z8r=[0,[2,_3r],ZIr],Y8r=[0,[1,[0,95]],z8r],G8r=[0,[2,_3r],JIr],Q8r=[0,[1,[0,95]],G8r],Z8r=[0,[1,[0,86]],Q8r],J8r=[0,[1,[0,40]],tN],K8r=[0,KIr,J8r],r7r=[0,[1,[0,74]],K8r],e7r=[0,rTr,r7r],n7r=[0,[1,[0,40]],e7r],t7r=[0,eTr,n7r],a7r=[0,[2,_3r],nTr],u7r=[0,tTr,a7r],i7r=[0,[2,_3r],aTr],c7r=[0,uTr,i7r],f7r=[0,[2,_3r],iTr],o7r=[0,cTr,f7r],s7r=[0,[2,_3r],fTr],l7r=[0,oTr,s7r],v7r=[0,[2,_3r],sTr],b7r=[0,lTr,v7r],p7r=[0,[2,_3r],vTr],d7r=[0,bTr,p7r],h7r=Jf+vt,m7r="let x : Int = 0",k7r="public "+m7r,y7r="case x {}",x7r=Qa+Su+h7r,w7r=rM(hAr,[0,"{",[0,XI,[0,h7r,dAr]]]),_7r=rM(yAr,[0,kAr,[0,"X",[0,mAr,[0,SI,0]]]]),g7r=rM(wAr,[0,xAr,[0,XI,[0,h7r,0]]]),N7r=rM(gAr,[0,_Ar,[0,XI,[0,h7r,0]]]);function I7r(r,e){return[0,"seplist("+r[1]+Rh+e[1]+Wo,r[2]]}function T7r(r){var e=r[1];if(0!==e[0]){var n=e[1];if(50<=n)switch(n){case 50:return[0,"",II];case 51:return[0,"",II];case 52:return[0,"",II];case 53:return[0,"?",WI];case 54:return YTr;case 55:return GTr;case 56:return[0,"?",FI];case 57:return[0,"?",FI];case 58:return QTr;case 59:return[0,"","object x = {}"];case 60:return ZTr;case 61:return[0,"",w7r];case 62:return JTr;case 63:return[0,"(, )*",", X"];case 64:return[0,"(, )*",Ni+vt];case 65:return[0,"",Ir+vt+ts];case 66:return[0,"",PI];case 67:return[0,KTr,PI];case 68:return rAr;case 69:return eAr;case 70:return[0,"",FI];case 71:return[0,"",FI];case 72:return[0,"",FI];case 73:return[0,"",FI];case 74:return nAr;case 75:return[0,"",w7r];case 76:return[0,tAr,FI];case 77:return[0,"",FI];case 78:return[0,aAr,FI];case 79:return[0,"",FI];case 80:return[0,"",FI];case 81:return[0,"",FI];case 82:return[0,"",FI];case 83:return[0,uAr,x7r];case 84:return[0,"",FI];case 85:return[0,"",FI];case 86:return[0,iAr,FI];case 87:return[0,cAr,FI];case 88:return[0,"",FI];case 89:return fAr;case 90:return[0,"",m7r];case 91:return[0,oAr,k7r];case 92:return[0,sAr,m7r];case 93:return lAr;case 94:return[0,"","catch x {}"];case 95:return[0,vAr,y7r];case 96:return bAr;case 97:return pAr;default:return[0,"",h7r]}switch(n){case 0:return yTr;case 1:return[0,"","{ #t }"];case 2:return[0,"",SI];case 3:return[0,xTr,HI];case 4:return[0,"",SI];case 5:return wTr;case 6:return _Tr;case 7:return[0,"",SI];case 8:return[0,"",SI];case 9:return[0,gTr,SI];case 10:return[0,"",_7r];case 11:return[0,NTr,_7r];case 12:return[0,ITr,"X"];case 13:return[0,"",WI];case 14:return[0,TTr,SI];case 15:return[0,"",II];case 16:return[0,"",g7r];case 17:return ATr;case 18:return[0,"seplist1(,)",HI];case 19:return[0,"seplist1(,)",x7r];case 20:return I7r([0,MTr,HI],OI);case 21:return I7r([0,UTr,SI],qI);case 22:return I7r([0,BTr,_7r],OI);case 23:return I7r([0,ETr,_7r],OI);case 24:return I7r([0,LTr,"X"],qI);case 25:return I7r([0,CTr,SI],qI);case 26:return I7r([0,RTr,g7r],OI);case 27:return I7r([0,DTr,N7r],OI);case 28:return I7r([0,",and)",FI];case 40:return[0,"",N7r];case 41:return $Tr;case 42:return[0,"",XI];case 43:return[0,"",XI];case 44:return[0,"",XI];case 45:return[0,"",XI];case 46:return[0,"","x x"];case 47:return[0,zTr,XI];case 48:return[0,"",XI];default:return[0,"",II]}}var t=e[1];if(66<=t){if(99<=t)switch(t){case 99:return[0,aI,aI];case 100:return[0,"do","do"];case 101:case 126:return[0,DI,RI];case 102:case 113:case 127:return[0,EI,BI];case 103:return[0,uI,uI];case 104:return[0,iI,iI];case 105:return[0,cI,cI];case 106:return[0,fI,fI];case 107:return[0,oI,oI];case 108:return[0,sI,sI];case 109:return[0,lI,lI];case 110:return[0,vI,vI];case 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a=t[2];return a&&!a[2]?Aw(n,[12,a[1]]):Aw(n,e)};if("char_to_upper"===r)return function(r,e,n){var t=tYr(z9r,QT(OGr(e)));if("number"==typeof t)return Aw(n,e);var a=t[2];return a&&!a[2]?Aw(n,[12,a[1]]):Aw(n,e)};if("decodeUtf8"===r)return function(r,e,n){var t=qGr(e);try{NFr(t)}catch(r){var a=Zx(r);if(a===SRr)return Aw(n,0);throw Nm(a,0)}return Aw(n,[16,[13,t]])}}else{if("alloc_weak_ref"===r)return function(r,e,n){var t=fy(1);return FEr(t,0,"Weak.set"),by(t,0,e),Aw(n,[25,t])};if("canister_self"===r)return function(r,e,n){return GGr(e),Aw(n,vz)};if("canister_subnet"===r)return function(r,e,n){return GGr(e),Aw(n,bz)};if("canister_version"===r)return function(r,e,n){return GGr(e),Aw(n,[9,RYr[20].call(null,42)])};if("char_is_alphabetic"===r)return function(r,e,n){return Aw(n,[0,eYr($9r,QT(OGr(e)))])}}}return Aw(f,"Value.prim: "+r)}var _=vM(95,r);if(_){var g=_[2];if(g){var N=g[2];if(N){var I=N[2];if(I&&!I[2]){var T=I[1],A=Bqr(N[1]),M=Bqr(T);return function(r,e,n){try{var t=hQr(A)(e);switch(M){case 3:var a=function(r){return[6,EYr[41].call(null,r)]};break;case 4:a=function(r){return[7,LYr[41].call(null,r)]};break;case 5:a=function(r){return[8,CYr[41].call(null,r)]};break;case 6:a=function(r){return[9,RYr[41].call(null,r)]};break;case 8:a=function(r){return[2,DYr[41].call(null,r)]};break;case 9:a=function(r){return[3,FYr[41].call(null,r)]};break;case 10:a=function(r){return[4,XYr[41].call(null,r)]};break;case 11:a=function(r){return[5,SYr[41].call(null,r)]};break;default:throw Nm([0,Sw,"Value.of_big_int_wrap: "+H$r([2,M])],1)}var u=a(t)}catch(t){var i=Zx(t);if(i[1]!==Sw)throw Nm(i,0);u=Aw(f,i[2])}return Aw(n,u)}}}}}throw Nm([0,qw,Dz],1)}var U=vM(95,r);if(U){var B=U[2];if(B){var E=B[2];if(E){var L=E[2];if(L&&!L[2]){var C=L[1],R=Bqr(E[1]),D=Bqr(C);return function(r,e,n){r:{e:{n:{t:{switch(R){case 2:if(3>>0)break e;break n;case 3:if(4===D)break n;break t;case 4:if(3===D)break n;if(5===D)break n;break t;case 5:var t=D-4|0;if(10>>0)break t;switch(t){case 0:case 2:case 10:break n;default:break t}case 6:if(5===D)break n;break t;case 7:if(12<=D){if(13<=D)break e;var a=function(r){var e=EGr(r),n=Aw(TYr[25],e),t=Mzr(n);if(63=u>>>0)switch(u){case 0:break n;case 1:break;default:a=function(r){var e=DGr(r),n=Gy(qzr(Aw(SYr[25],e)));return[10,Aw(jRr[5],n)]};break r}break;case 12:var i=D-7|0;if(6>>0)break e;switch(i){case 0:a=function(r){var e=sYr(WGr(r));return[1,Aw(TYr[26],e)]};break r;case 4:a=function(r){var e=sYr(WGr(r));return[5,SYr[26].call(null,e)]};break r;case 6:a=function(r){return[11,Aw(eGr,Aw(VYr,WGr(r)))]};break r;default:break e}case 13:if(12!==D)break e;a=function(r){return[10,Aw($Yr,Aw(HYr,HGr(r)))]};break r;default:break e}if(7===D)break n;break e}if(2!==D)break e}a=function(r){try{var e,n=hQr(R)(r);switch(D){case 2:var t=function(r){return[1,Aw(UYr[26],r)]};break;case 3:t=function(r){return[6,EYr[26].call(null,r)]};break;case 4:t=function(r){return[7,LYr[26].call(null,r)]};break;case 5:t=function(r){return[8,CYr[26].call(null,r)]};break;case 6:t=function(r){return[9,RYr[26].call(null,r)]};break;case 7:t=function(r){return[1,Aw(TYr[26],r)]};break;case 8:t=function(r){return[2,DYr[26].call(null,r)]};break;case 9:t=function(r){return[3,FYr[26].call(null,r)]};break;case 10:t=function(r){return[4,XYr[26].call(null,r)]};break;case 11:t=function(r){return[5,SYr[26].call(null,r)]};break;case 14:t=function(r){var e=Hzr(r);n:if(ep<=e){if(qn<=e&&Ad>e)break n;throw Nm([0,Sw,"character value out of bounds"],1)}return[12,e]};break;default:throw Nm([0,Sw,"Value.of_big_int_trap: "+H$r([2,D])],1)}return t(n)}catch(e){var a=Zx(e);if(a[1]===Sw)return Aw(f,a[2]);throw Nm(a,0)}};break r}var c=H$r([2,D]);a=Aw(f,"Value.num_conv_trap_prim: "+H$r([2,R])+c)}return Aw(n,Aw(a,e))}}}}}throw Nm([0,qw,Rz],1)}(c);return Aw(u,[20,aYr(a[3][1]),l]);case 2:var v=i[1],b=v[3][2];if(!b){var p=C9r(v[2],e[2])[1];return p?Aw(u,p[1]):L9r(a[1],ZMr)}a=b[1];break;case 3:var d=i[1][1];if("number"==typeof d)var h=0;else switch(d[0]){case 0:h=[0,d[1]];break;case 1:h=[1,d[1]];break;case 2:h=[6,d[1]];break;case 3:h=[7,d[1]];break;case 4:h=[8,d[1]];break;case 5:h=[9,d[1]];break;case 6:h=[1,d[1]];break;case 7:h=[2,d[1]];break;case 8:h=[3,d[1]];break;case 9:h=[4,d[1]];break;case 10:h=[5,d[1]];break;case 11:h=[10,d[1]];break;case 12:h=[11,d[1]];break;case 13:h=[12,d[1]];break;case 14:h=[13,d[1]];break;case 15:h=[14,d[1]];break;default:throw Nm([0,qw,PUr],1)}return Aw(u,h);case 4:var m=i[1],k=function(r){var e=Kzr(jGr(r));if(0===e[0]){var n=e[1];return 29 disable (allow) comma-separated warning codes, e.g. -A M0194,M0217"],[0,[0,"-W",[4,function(r){return tHr(1,r)}]," enable (warn) comma-separated warning codes, e.g. -W M0223"],[0,[0,"-E",[4,function(r){return tHr(2,r)}]," treat as error comma-separated warning codes, e.g. -E M0217"],0]]]]],pee=function(r,e,n){for(var t=n;;){var a=CM(j_,t,e);if(Mh>=a>>>0){var u=a;if(70<=u){if(Hc<=u)switch(u){case 105:return 2;case 106:return 30;case 107:return 47;case 108:return 49;case 109:return 48;case 110:return 51;case 111:return 33;case 112:return 50;case 113:return 35;case 114:return 29;case 115:return 34;case 116:return 36;case 117:return 37;case 118:return 38;case 119:return 67;case 120:return yfr;case 121:return 43;case 122:return 3;case 123:return nd;case 124:return 31;case 125:return 39;case 126:var i=FM(e,e[5],e[5]+4|0);return r[1]?go:[6,i];case 127:return[6,FM(e,e[5],e[6])];case 128:var c=FM(e,e[5],e[6]);return r[1]?[6,c]:o3r(e,"privileged identifier");case 129:return[11,FM(e,e[5],e[6])];case 130:var f=FM(e,e[5],e[5]+2|0),o=lU(iu);return kU(o,f),v3r(o,e[11],e),[11,vU(o)];case 131:return[10,Py(FM(e,e[5],e[6]))];case 132:var s=Py(FM(e,e[5],e[6]));return 1===s?yl:[9,s];case 133:return XM(e),xfr;case 134:return XM(e),wfr;case 135:return XM(e),_fr;case 136:return 0;case 137:return o3r(e,gfr);default:return o3r(e,Nfr)}switch(u){case 70:return 13;case 71:return 14;case 72:return 69;case 73:return 10;case 74:return 11;case 75:return 12;case 76:return 15;case 77:return 16;case 78:return 17;case 79:return 46;case 80:return jh;case 81:return 18;case 82:return 20;case 83:return 66;case 84:return 21;case 85:return 28;case 86:return kfr;case 87:return 22;case 88:return 23;case 89:return 32;case 90:return 68;case 91:return 42;case 92:return 24;case 93:return 25;case 94:return 26;case 95:return 27;case 96:return 62;case 97:return 63;case 98:return 64;case 99:return 65;case 100:return 61;case 101:return Wd;case 102:return 44;case 103:return 60;default:return 19}}if(35>u)switch(u){case 0:return 4;case 1:return 5;case 2:return 6;case 3:return 7;case 4:return 8;case 5:return 9;case 6:return 52;case 7:return 53;case 8:return 54;case 9:return 55;case 10:return 56;case 11:return 57;case 12:return 58;case 13:return 95;case 14:return 96;case 15:return 97;case 16:return 70;case 17:return 71;case 18:return 72;case 19:return 73;case 20:return 74;case 21:return 75;case 22:return 84;case 23:return 85;case 24:return ko;case 25:return 86;case 26:return 87;case 27:return 88;case 28:return 89;case 29:return 76;case 30:return 77;case 31:return 78;case 32:return 79;case 33:return 94;default:return 90}switch(u){case 35:return 91;case 36:return 93;case 37:return 92;case 38:return 41;case 39:return 98;case 40:return 99;case 41:return iu;case 42:return ru;case 43:return Lp;case 44:return om;case 45:return Hc;case 46:return Sh;case 47:return uo;case 48:return sh;case 49:return J;case 50:return op;case 51:return Co;case 52:return 80;case 53:return 81;case 54:return 82;case 55:return 83;case 56:return Mv;case 57:return 40;case 58:return _v;case 59:return[0,FM(e,e[5]+1|0,e[6])];case 60:return[2,FM(e,e[5],e[6])];case 61:var l=mFr(FM(e,e[5],e[6]),46);if(l){var v=l[2];if(v&&!v[2])return[1,l[1],v[1]]}throw Nm([0,qw,pfr],1);case 62:return[3,FM(e,e[5],e[6])];case 63:var b=l3r(e,FM(e,e[5],e[6]));try{var p=NFr(b);if(p)var d=p[2]?o3r(e,"overlong character literal"):p[1];else d=o3r(e,"empty character literal");var h=d}catch(a){var m=Zx(a);if(m!==SRr)throw Nm(m,0);h=o3r(e,"invalid utf8 in character literal")}return[4,h];case 64:return[7,l3r(e,FM(e,e[5],e[6]))];case 65:return o3r(e,dfr);case 66:return o3r(e,hfr);case 67:return s3r(e[12],e,mfr);case 68:return 45;default:return 59}}Aw(e[1],e),t=a}},dee=function(r){if(1140>>0)throw Nm(Hw,1);var e=r;if(571<=e){if(856<=e){if(999<=e){if(1070<=e){if(1106<=e)switch(e){case 1106:return[0,l7r];case 1107:return[0,s7r];case 1108:return cgr;case 1109:return[0,o7r];case 1110:return[0,f7r];case 1111:return fgr;case 1112:return[0,n7r];case 1113:return[0,e7r];case 1114:return[0,r7r];case 1115:return[0,K8r];case 1116:return[0,[0,ogr,b7r]];case 1117:return[0,[0,sgr,d7r]];case 1118:return[0,d7r];case 1119:return[0,p7r];case 1120:return lgr;case 1121:return[0,b7r];case 1122:return[0,v7r];case 1123:return vgr;case 1124:return[0,[0,bgr,aN]];case 1125:return pgr;case 1126:return dgr;case 1127:return[0,aN];case 1128:return hgr;case 1129:return[0,J8r];case 1130:return[0,tN];case 1131:return mgr;case 1132:return[0,[0,kgr,uN]];case 1133:return ygr;case 1134:return xgr;case 1135:return[0,uN];case 1136:return wgr;case 1137:return[0,j8r];case 1138:return[0,eN];case 1139:return _gr;default:return ggr}switch(e){case 1070:return[0,Kg];case 1071:return W_r;case 1072:return[0,[0,H_r,rN]];case 1073:return[0,rN];case 1074:return O_r;case 1075:return j_r;case 1076:return[0,[0,V_r,[0,[2,$8r],q_r]]];case 1077:return[0,$8r];case 1078:return[0,[0,$_r,Y8r]];case 1079:return[0,Y8r];case 1080:return[0,[0,z_r,Z8r]];case 1081:return[0,Z8r];case 1082:return[0,Q8r];case 1083:return[0,G8r];case 1084:return Y_r;case 1085:return[0,z8r];case 1086:return G_r;case 1087:return[0,[0,Q_r,nN]];case 1088:return Z_r;case 1089:return J_r;case 1090:return[0,nN];case 1091:return K_r;case 1092:return[0,V8r];case 1093:return[0,q8r];case 1094:return[0,[0,rgr,t7r]];case 1095:return[0,t7r];case 1096:return[0,[0,egr,u7r]];case 1097:return[0,[0,ngr,c7r]];case 1098:return[0,c7r];case 1099:return[0,i7r];case 1100:return tgr;case 1101:return[0,u7r];case 1102:return[0,a7r];case 1103:return agr;case 1104:return[0,[0,ugr,o7r]];default:return[0,[0,igr,l7r]]}}if(1035<=e)switch(e){case 1035:return d_r;case 1036:return h_r;case 1037:return m_r;case 1038:return[0,[0,k_r,W8r]];case 1039:return[0,W8r];case 1040:return[0,P8r];case 1041:return[0,S8r];case 1042:return y_r;case 1043:return x_r;case 1044:return w_r;case 1045:return __r;case 1046:return g_r;case 1047:return N_r;case 1048:return[0,V4r];case 1049:return[0,q4r];case 1050:return I_r;case 1051:return T_r;case 1052:return[0,[0,[2,dg],A_r]];case 1053:return M_r;case 1054:return U_r;case 1055:return[0,D4r];case 1056:return B_r;case 1057:return[0,pg];case 1058:return E_r;case 1059:return L_r;case 1060:return C_r;case 1061:return[0,vg];case 1062:return R_r;case 1063:return D_r;case 1064:return[0,[0,X_r,[0,[2,O8r],F_r]]];case 1065:return[0,O8r];case 1066:return[0,H8r];case 1067:return[0,Jg];case 1068:return S_r;default:return[0,[0,P_r,Kg]]}switch(e){case 999:return[0,e5r];case 1e3:return $wr;case 1001:return[0,wg];case 1002:return zwr;case 1003:return[0,Z4r];case 1004:return[0,Q4r];case 1005:return Ywr;case 1006:return[0,[0,[2,h3r],D8r]];case 1007:return[0,D8r];case 1008:return Gwr;case 1009:return Qwr;case 1010:return[0,[0,[2,dg],Zwr]];case 1011:return Jwr;case 1012:return Kwr;case 1013:return r_r;case 1014:return[0,xg];case 1015:return e_r;case 1016:return n_r;case 1017:return[0,Vg];case 1018:return[0,kg];case 1019:return t_r;case 1020:return[0,[0,a_r,F8r]];case 1021:return[0,F8r];case 1022:return[0,Zg];case 1023:return u_r;case 1024:return i_r;case 1025:return c_r;case 1026:return f_r;case 1027:return o_r;case 1028:return s_r;case 1029:return l_r;case 1030:default:return[0,X8r];case 1031:return v_r;case 1032:return b_r;case 1033:return p_r}}if(928<=e){if(964<=e)switch(e){case 964:return[0,E8r];case 965:return[0,B8r];case 966:return Nwr;case 967:return[0,Yg];case 968:return[0,R8r];case 969:return Iwr;case 970:return[0,u6r];case 971:return[0,a6r];case 972:return[0,Bg];case 973:return Twr;case 974:return[0,[0,[2,dg],Awr]];case 975:return Mwr;case 976:return[0,Ig];case 977:return Uwr;case 978:return Bwr;case 979:return Ewr;case 980:return Lwr;case 981:return[0,[0,Cwr,Gg]];case 982:return Rwr;case 983:return Dwr;case 984:return[0,Gg];case 985:return Fwr;case 986:return Xwr;case 987:return Swr;case 988:return Pwr;case 989:return[0,gg];case 990:return Wwr;case 991:return[0,[0,Hwr,Qg]];case 992:return Owr;case 993:return jwr;case 994:return[0,Qg];case 995:return qwr;case 996:return Vwr;case 997:return[0,t5r];default:return[0,n5r]}switch(e){case 928:return Qxr;case 929:return Zxr;case 930:case 958:return[0,zg];case 931:return Jxr;case 932:return Kxr;case 933:return[0,[0,[2,Wg],rwr]];case 934:return ewr;case 935:return nwr;case 936:return[0,[0,[2,dg],twr]];case 937:return awr;case 938:return[0,Dg];case 939:return uwr;case 940:return iwr;case 941:return cwr;case 942:return fwr;case 943:return owr;case 944:return swr;case 945:return lwr;case 946:return vwr;case 947:return bwr;case 948:return[0,Ug];case 949:return pwr;case 950:return[0,Mg];case 951:return dwr;case 952:return hwr;case 953:return mwr;case 954:return kwr;case 955:return[0,[0,[2,dg],ywr]];case 956:return xwr;case 957:return[0,Yg];case 959:return wwr;case 960:return _wr;case 961:return[0,[0,gwr,C8r]];case 962:return[0,C8r];default:return[0,L8r]}}if(892<=e)switch(e){case 892:return Lxr;case 893:return[0,o8r];case 894:return[0,f8r];case 895:return[0,c8r];case 896:return Cxr;case 897:return[0,[0,Rxr,x8r]];case 898:return[0,x8r];case 899:return[0,y8r];case 900:return[0,k8r];case 901:return Dxr;case 902:return[0,[0,Fxr,N8r]];case 903:return[0,N8r];case 904:return[0,g8r];case 905:return[0,_8r];case 906:return[0,w8r];case 907:return Xxr;case 908:return[0,[0,Sxr,A8r]];case 909:return[0,A8r];case 910:return[0,T8r];case 911:return[0,I8r];case 912:return Pxr;case 913:return[0,[0,Wxr,U8r]];case 914:return[0,U8r];case 915:return[0,M8r];case 916:return[0,t8r];case 917:return Hxr;case 918:return[0,[0,Oxr,e8r]];case 919:return jxr;case 920:return[0,qg];case 921:return[0,[0,[2,Wg],qxr]];case 922:return Vxr;case 923:return[0,[0,$xr,$g]];case 924:return zxr;case 925:return Yxr;case 926:return[0,$g];default:return Gxr}switch(e){case 856:return bxr;case 857:return pxr;case 858:return[0,[0,[2,dg],dxr]];case 859:return hxr;case 860:return mxr;case 861:return[0,p6r];case 862:return[0,b6r];case 863:return kxr;case 864:return yxr;case 865:return xxr;case 866:return[0,hg];case 867:return wxr;case 868:return[0,qg];case 869:return[0,Pg];case 870:return _xr;case 871:return gxr;case 872:return[0,[0,Nxr,i8r]];case 873:return[0,i8r];case 874:return[0,Vg];case 875:return Ixr;case 876:return Txr;case 877:return Axr;case 878:return[0,u8r];case 879:return[0,a8r];case 880:return[0,[0,Mxr,l8r]];case 881:return[0,l8r];case 882:return[0,s8r];case 883:return[0,[0,Uxr,p8r]];case 884:return[0,p8r];case 885:return[0,b8r];case 886:return[0,v8r];case 887:return Bxr;case 888:return[0,[0,Exr,m8r]];case 889:return[0,m8r];case 890:return[0,h8r];default:return[0,d8r]}}if(714<=e){if(785<=e){if(821<=e)switch(e){case 821:return Pyr;case 822:return Wyr;case 823:return[0,[0,Hyr,Hg]];case 824:return[0,Hg];case 825:return Oyr;case 826:return[0,[0,jyr,Og]];case 827:return[0,Og];case 828:return qyr;case 829:return Vyr;case 830:return $yr;case 831:return zyr;case 832:return Yyr;case 833:return Gyr;case 834:return Qyr;case 835:return Zyr;case 836:return Jyr;case 837:return Kyr;case 838:return rxr;case 839:return exr;case 840:return nxr;case 841:return[0,$6r];case 842:return[0,V6r];case 843:return txr;case 844:return axr;case 845:return[0,[0,[2,dg],uxr]];case 846:return ixr;case 847:return cxr;case 848:return fxr;case 849:return oxr;case 850:return[0,Xg];case 851:return sxr;case 852:return[0,[0,lxr,jg]];case 853:return[0,jg];case 854:return vxr;default:return[0,Fg]}switch(e){case 785:return[0,[0,[2,n8r],uyr]];case 786:return iyr;case 787:return[0,[0,[2,n8r],cyr]];case 788:return fyr;case 789:return[0,[0,[2,n8r],oyr]];case 790:return syr;case 791:return[0,[0,[2,n8r],lyr]];case 792:return vyr;case 793:return[0,[0,[2,n8r],byr]];case 794:return pyr;case 795:return[0,[0,[2,n8r],dyr]];case 796:return hyr;case 797:return myr;case 798:return kyr;case 799:return[0,[0,[2,w3r],yyr]];case 800:return xyr;case 801:return wyr;case 802:return _yr;case 803:return gyr;case 804:return Nyr;case 805:return[0,[0,[2,n8r],Iyr]];case 806:return Tyr;case 807:return Ayr;case 808:return Myr;case 809:return[0,[0,[2,n8r],Uyr]];case 810:return Byr;case 811:return[0,[0,[2,n8r],Eyr]];case 812:return Lyr;case 813:return[0,Sg];case 814:return Cyr;case 815:return Ryr;case 816:return[0,Pg];case 817:return Dyr;case 818:return Fyr;case 819:return[0,[0,[2,Wg],Xyr]];default:return Syr}}if(750<=e)switch(e){case 750:return Nkr;case 751:return Ikr;case 752:return Tkr;case 753:return[0,[0,[2,n8r],Akr]];case 754:return Mkr;case 755:return Ukr;case 756:return Bkr;case 757:return[0,[0,[2,n8r],Ekr]];case 758:return Lkr;case 759:return Ckr;case 760:return Rkr;case 761:return Dkr;case 762:return Fkr;case 763:return[0,[0,[2,n8r],Xkr]];case 764:return Skr;case 765:return[0,[0,[2,n8r],Pkr]];case 766:return Wkr;case 767:return Hkr;case 768:return Okr;case 769:return[0,[0,[2,n8r],jkr]];case 770:return qkr;case 771:return[0,[0,[2,n8r],Vkr]];case 772:return $kr;case 773:return[0,[0,[2,n8r],zkr]];case 774:return Ykr;case 775:return Gkr;case 776:return Qkr;case 777:return[0,[0,[2,n8r],Zkr]];case 778:return Jkr;case 779:return Kkr;case 780:return ryr;case 781:return eyr;case 782:return nyr;case 783:return[0,[0,[2,n8r],tyr]];default:return ayr}switch(e){case 714:return[0,[0,[2,w3r],Omr]];case 715:return jmr;case 716:return qmr;case 717:return Vmr;case 718:return $mr;case 719:return zmr;case 720:return Ymr;case 721:return Gmr;case 722:return Qmr;case 723:return[0,[0,[2,n8r],Zmr]];case 724:return Jmr;case 725:return Kmr;case 726:return rkr;case 727:return[0,[0,[2,n8r],ekr]];case 728:return nkr;case 729:return tkr;case 730:return akr;case 731:return[0,[0,[2,n8r],ukr]];case 732:return ikr;case 733:return ckr;case 734:return fkr;case 735:return[0,[0,[2,n8r],okr]];case 736:return skr;case 737:return lkr;case 738:return vkr;case 739:return[0,[0,[2,n8r],bkr]];case 740:return pkr;case 741:return[0,[0,[2,n8r],dkr]];case 742:return hkr;case 743:return mkr;case 744:return kkr;case 745:return[0,[0,[2,n8r],ykr]];case 746:return xkr;case 747:return wkr;case 748:return _kr;default:return[0,[0,[2,n8r],gkr]]}}if(643<=e){if(679<=e)switch(e){case 679:return cmr;case 680:return fmr;case 681:return omr;case 682:return[0,[0,[2,n8r],smr]];case 683:return lmr;case 684:return[0,[0,[2,n8r],vmr]];case 685:return bmr;case 686:return[0,[0,[2,n8r],pmr]];case 687:return dmr;case 688:return[0,[0,[2,n8r],hmr]];case 689:return mmr;case 690:return[0,[0,[2,n8r],kmr]];case 691:return ymr;case 692:return[0,[0,[2,n8r],xmr]];case 693:return wmr;case 694:return[0,[0,[2,n8r],_mr]];case 695:return gmr;case 696:return[0,[0,[2,n8r],Nmr]];case 697:return Imr;case 698:return[0,[0,[2,n8r],Tmr]];case 699:return Amr;case 700:return[0,[0,[2,n8r],Mmr]];case 701:return Umr;case 702:return[0,[0,[2,n8r],Bmr]];case 703:return Emr;case 704:return Lmr;case 705:return Cmr;case 706:return Rmr;case 707:return Dmr;case 708:return Fmr;case 709:return Xmr;case 710:return Smr;case 711:return Pmr;case 712:return Wmr;default:return Hmr}switch(e){case 643:return Ihr;case 644:return[0,[0,[2,n8r],Thr]];case 645:return Ahr;case 646:return[0,[0,[2,n8r],Mhr]];case 647:return Uhr;case 648:return[0,[0,[2,n8r],Bhr]];case 649:return Ehr;case 650:return[0,[0,[2,n8r],Lhr]];case 651:return Chr;case 652:return[0,[0,[2,n8r],Rhr]];case 653:return Dhr;case 654:return[0,[0,[2,n8r],Fhr]];case 655:return Xhr;case 656:return[0,[0,[2,n8r],Shr]];case 657:return Phr;case 658:return Whr;case 659:return Hhr;case 660:return Ohr;case 661:return jhr;case 662:return qhr;case 663:return Vhr;case 664:return[0,[0,[2,n8r],$hr]];case 665:return zhr;case 666:return Yhr;case 667:return Ghr;case 668:return[0,[0,[2,n8r],Qhr]];case 669:return Zhr;case 670:return Jhr;case 671:return Khr;case 672:return rmr;case 673:return emr;case 674:return nmr;case 675:return tmr;case 676:return amr;case 677:return umr;default:return imr}}if(607<=e)switch(e){case 607:return[0,[0,[2,n8r],qdr]];case 608:return Vdr;case 609:return $dr;case 610:return[0,[0,[2,n8r],zdr]];case 611:return Ydr;case 612:return[0,[0,[2,n8r],Gdr]];case 613:return Qdr;case 614:return[0,[0,[2,n8r],Zdr]];case 615:return Jdr;case 616:return[0,[0,[2,n8r],Kdr]];case 617:return rhr;case 618:return[0,[0,[2,n8r],ehr]];case 619:return nhr;case 620:return[0,[0,[2,n8r],thr]];case 621:return ahr;case 622:return uhr;case 623:return[0,[0,[2,dg],ihr]];case 624:return chr;case 625:return fhr;case 626:return ohr;case 627:return shr;case 628:return lhr;case 629:return vhr;case 630:return[0,[0,[2,dg],bhr]];case 631:return phr;case 632:return[0,[0,[2,dg],dhr]];case 633:return hhr;case 634:return[0,o6r];case 635:return mhr;case 636:return khr;case 637:return yhr;case 638:return[0,[0,[2,n8r],xhr]];case 639:return whr;case 640:return _hr;case 641:return ghr;default:return Nhr}switch(e){case 571:return ddr;case 572:return hdr;case 573:return mdr;case 574:return kdr;case 575:return[0,[0,[2,dg],ydr]];case 576:return[0,[0,[2,dg],xdr]];case 577:return[0,[0,[2,dg],wdr]];case 578:return[0,[0,[2,dg],_dr]];case 579:return[0,[0,[2,dg],gdr]];case 580:return[0,[0,[2,dg],Ndr]];case 581:return[0,[0,[2,C4r],Idr]];case 582:return Tdr;case 583:return[0,[0,[2,f6r],Adr]];case 584:return[0,[0,Mdr,Z6r]];case 585:return[0,Z6r];case 586:return[0,Q6r];case 587:return Udr;case 588:return[0,[0,[2,K4r],K6r]];case 589:return[0,K6r];case 590:return[0,J6r];case 591:return Bdr;case 592:return Edr;case 593:return[0,e8r];case 594:return[0,r8r];case 595:return Ldr;case 596:return Cdr;case 597:return Rdr;case 598:return Ddr;case 599:return[0,[0,Fdr,Sg]];case 600:return[0,[0,[2,dg],Xdr]];case 601:return Sdr;case 602:return Pdr;case 603:return Wdr;case 604:return Hdr;case 605:return Odr;default:return jdr}}if(fm<=e){if(ol<=e){if(Hi<=e){if(536<=e)switch(e){case 536:return[0,[0,[2,K4r],H6r]];case 537:return[0,H6r];case 538:return[0,W6r];case 539:return jpr;case 540:return qpr;case 541:return Vpr;case 542:return $pr;case 543:return zpr;case 544:return[0,[0,[2,dg],Ypr]];case 545:return[0,[0,Gpr,j6r]];case 546:return[0,j6r];case 547:return[0,O6r];case 548:return[0,[0,[2,dg],Qpr]];case 549:return[0,[0,Zpr,q6r]];case 550:return[0,q6r];case 551:return Jpr;case 552:return Kpr;case 553:return rdr;case 554:return edr;case 555:return[0,[0,[2,C4r],ndr]];case 556:return tdr;case 557:return[0,[0,adr,G6r]];case 558:return[0,G6r];case 559:return[0,Y6r];case 560:return[0,z6r];case 561:return[0,[0,[2,dg],udr]];case 562:return[0,[0,[2,k6r],idr]];case 563:return[0,[0,[2,k6r],cdr]];case 564:return fdr;case 565:return odr;case 566:return sdr;case 567:return[0,[0,[2,C4r],ldr]];case 568:return vdr;case 569:return[0,[0,[2,dg],bdr]];default:return pdr}switch(e){case 500:return Mpr;case 501:return Upr;case 502:return Bpr;case 503:return[0,[0,Epr,g6r]];case 504:return[0,g6r];case 505:return[0,_6r];case 506:return[0,[0,Lpr,A6r]];case 507:return[0,A6r];case 508:return[0,T6r];case 509:return[0,I6r];case 510:return[0,N6r];case 511:return Cpr;case 512:return[0,[0,Rpr,B6r]];case 513:return[0,B6r];case 514:return[0,U6r];case 515:return[0,M6r];case 516:return Dpr;case 517:return[0,[0,Fpr,C6r]];case 518:return[0,C6r];case 519:return[0,L6r];case 520:return[0,E6r];case 521:return Xpr;case 522:return[0,w6r];case 523:return[0,x6r];case 524:return[0,y6r];case 525:return Spr;case 526:return Ppr;case 527:return[0,F6r];case 528:return[0,D6r];case 529:return[0,R6r];case 530:return Wpr;case 531:return[0,[0,Hpr,P6r]];case 532:return[0,P6r];case 533:return[0,S6r];case 534:return[0,X6r];default:return Opr}}if(Wb<=e)switch(e){case 465:return apr;case 466:return[0,Lg];case 467:return upr;case 468:return[0,[0,ipr,Dg]];case 469:return[0,[0,cpr,s6r]];case 470:return[0,s6r];case 471:return fpr;case 472:return opr;case 473:return[0,[0,[2,C4r],spr]];case 474:return lpr;case 475:return vpr;case 476:return bpr;case 477:return[0,[0,[2,C4r],ppr]];case 478:return dpr;case 479:return[0,[0,[2,C4r],hpr]];case 480:return mpr;case 481:case 483:return[0,F4r];case 482:return kpr;case 484:return[0,[0,[2,K4r],v6r]];case 485:return[0,v6r];case 486:return[0,l6r];case 487:return[0,_g];case 488:return[0,[0,ypr,m6r]];case 489:return[0,m6r];case 490:return[0,h6r];case 491:return[0,d6r];case 492:return[0,[0,[2,k6r],xpr]];case 493:return[0,[0,[2,k6r],wpr]];case 494:return _pr;case 495:return gpr;case 496:return[0,[0,[2,dg],Npr]];case 497:return[0,[0,[2,dg],Ipr]];case 498:return[0,[0,Tpr,Fg]];default:return[0,[0,Apr,Xg]]}switch(e){case 429:return Cbr;case 430:return[0,[0,Rbr,Ag]];case 431:return Dbr;case 432:return Fbr;case 433:return[0,Ag];case 434:return Xbr;case 435:return[0,[0,[2,C4r],Sbr]];case 436:return[0,[0,Pbr,Mg]];case 437:return[0,[0,Wbr,Ug]];case 438:return[0,u6r];case 439:return[0,a6r];case 440:return[0,Bg];case 441:return[0,[0,Hbr,c6r]];case 442:return[0,c6r];case 443:return[0,i6r];case 444:return Obr;case 445:return[0,[0,jbr,Eg]];case 446:return[0,Eg];case 447:return[0,[0,[2,dg],qbr]];case 448:return[0,[0,[2,C4r],Vbr]];case 449:return $br;case 450:return zbr;case 451:return Ybr;case 452:return[0,[0,[2,C4r],Gbr]];case 453:return[0,[0,[2,C4r],Qbr]];case 454:return[0,[0,[2,C4r],Zbr]];case 455:return[0,o6r];case 456:return Jbr;case 457:return Kbr;case 458:return rpr;case 459:return[0,[0,epr,Lg]];case 460:return[0,[0,npr,Cg]];case 461:return[0,[0,[2,_3r],Rg]];case 462:return[0,Rg];case 463:return tpr;default:return[0,Cg]}}if(Yb<=e){if(Mu<=e)switch(e){case 394:return[0,[0,ybr,$5r]];case 395:return[0,$5r];case 396:return[0,V5r];case 397:return xbr;case 398:return[0,[0,[2,K4r],Y5r]];case 399:return[0,Y5r];case 400:return[0,z5r];case 401:return wbr;case 402:return[0,q5r];case 403:return[0,j5r];case 404:return _br;case 405:return[0,[0,gbr,Q5r]];case 406:return[0,[0,Nbr,J5r]];case 407:return[0,J5r];case 408:return[0,Z5r];case 409:return Ibr;case 410:return[0,[0,[2,K4r],r6r]];case 411:return[0,r6r];case 412:return[0,K5r];case 413:return Tbr;case 414:return[0,Q5r];case 415:return[0,G5r];case 416:return Abr;case 417:return[0,[0,[2,z_],e6r]];case 418:return[0,e6r];case 419:return Mbr;case 420:case 422:return[0,F4r];case 421:return[0,[0,[2,bg],Ubr]];case 423:return[0,[0,[2,dg],Bbr]];case 424:return[0,[0,[2,dg],Ebr]];case 425:return[0,[0,Lbr,t6r]];case 426:return[0,t6r];case 427:return[0,n6r];default:return[0,Tg]}switch(e){case 358:return[0,T5r];case 359:return[0,I5r];case 360:return[0,[0,[2,c5r],tbr]];case 361:return[0,[0,[2,c5r],abr]];case 362:return ubr;case 363:return ibr;case 364:return cbr;case 365:return fbr;case 366:return[0,[0,obr,E5r]];case 367:return[0,E5r];case 368:return[0,B5r];case 369:return[0,U5r];case 370:return sbr;case 371:return[0,[0,lbr,R5r]];case 372:return[0,R5r];case 373:return[0,C5r];case 374:return[0,L5r];case 375:return vbr;case 376:return[0,g5r];case 377:return[0,_5r];case 378:return[0,w5r];case 379:return[0,D5r];case 380:return[0,[0,bbr,S5r]];case 381:return[0,S5r];case 382:return[0,[0,pbr,W5r]];case 383:return[0,W5r];case 384:return[0,P5r];case 385:return dbr;case 386:return[0,[0,[2,K4r],O5r]];case 387:return[0,O5r];case 388:return[0,H5r];case 389:return hbr;case 390:return[0,X5r];case 391:return[0,F5r];case 392:return mbr;default:return[0,[0,kbr,q5r]]}}if(Xh<=e)switch(e){case 322:return[0,[0,Fvr,p5r]];case 323:return[0,[0,Xvr,h5r]];case 324:return[0,h5r];case 325:return[0,d5r];case 326:return Svr;case 327:return[0,p5r];case 328:return[0,b5r];case 329:return Pvr;case 330:return Wvr;case 331:return[0,[0,Hvr,k5r]];case 332:return[0,[0,Ovr,x5r]];case 333:return[0,x5r];case 334:return[0,y5r];case 335:return jvr;case 336:return[0,k5r];case 337:return[0,m5r];case 338:return qvr;case 339:return Vvr;case 340:return $vr;case 341:return[0,s5r];case 342:return[0,o5r];case 343:return[0,i5r];case 344:return zvr;case 345:return Yvr;case 346:return Gvr;case 347:return[0,[0,Qvr,Ng]];case 348:return Zvr;case 349:return Jvr;case 350:return Kvr;case 351:return[0,Ng];case 352:return rbr;case 353:return[0,[0,ebr,N5r]];case 354:return[0,N5r];case 355:return[0,[0,nbr,M5r]];case 356:return[0,M5r];default:return[0,A5r]}switch(e){case 286:return[0,[0,[2,C4r],bvr]];case 287:return[0,[0,[2,C4r],pvr]];case 288:return dvr;case 289:return[0,[0,[2,C4r],hvr]];case 290:return[0,[0,[2,C4r],mvr]];case 291:return[0,F4r];case 292:return[0,[0,[2,dg],kvr]];case 293:return[0,[0,[2,C4r],yvr]];case 294:return[0,[0,xvr,kg]];case 295:return[0,[0,wvr,yg]];case 296:return[0,yg];case 297:return _vr;case 298:return gvr;case 299:return[0,[0,Nvr,z4r]];case 300:return Ivr;case 301:return Tvr;case 302:return Avr;case 303:return Mvr;case 304:return Uvr;case 305:return[0,z4r];case 306:return[0,$4r];case 307:return[0,[0,[2,h3r],Y4r]];case 308:return[0,Y4r];case 309:return[0,[0,Bvr,G4r]];case 310:return[0,G4r];case 311:return Evr;case 312:return[0,[0,[2,dg],Z4r]];case 313:return[0,[0,Lvr,J4r]];case 314:return[0,J4r];case 315:return[0,[0,Cvr,u5r]];case 316:return[0,u5r];case 317:return Rvr;case 318:return[0,a5r];case 319:return[0,[0,Dvr,v5r]];case 320:return[0,v5r];default:return[0,l5r]}}if(Iv<=e){if(215<=e){if(Yh<=e)switch(e){case 251:return Vlr;case 252:return[0,[0,$lr,lg]];case 253:return zlr;case 254:return Ylr;case 255:return[0,lg];case 256:return Glr;case 257:return Qlr;case 258:return[0,[0,Jlr,[0,[2,L4r],Zlr]]];case 259:return[0,L4r];case 260:return[0,E4r];case 261:return[0,[0,[2,C4r],Klr]];case 262:return[0,[0,[2,C4r],rvr]];case 263:return evr;case 264:return[0,[0,nvr,R4r]];case 265:return[0,R4r];case 266:return[0,[0,tvr,D4r]];case 267:return avr;case 268:return uvr;case 269:return[0,F4r];case 270:return[0,[0,ivr,S4r]];case 271:return[0,S4r];case 272:return[0,X4r];case 273:return[0,mg];case 274:return[0,[0,cvr,W4r]];case 275:return[0,W4r];case 276:return[0,[0,fvr,j4r]];case 277:return[0,j4r];case 278:return[0,O4r];case 279:return[0,H4r];case 280:return ovr;case 281:return[0,P4r];case 282:return svr;case 283:return[0,[0,[2,dg],V4r]];case 284:return[0,[0,[2,C4r],lvr]];default:return[0,[0,[2,C4r],vvr]]}switch(e){case 215:return[0,[0,[2,B4r],plr]];case 216:return dlr;case 217:return hlr;case 218:return mlr;case 219:return klr;case 220:return ylr;case 221:return xlr;case 222:return[0,[0,[2,$_],wlr]];case 223:return _lr;case 224:return glr;case 225:return Nlr;case 226:return Ilr;case 227:return[0,[0,[2,U4r],Tlr]];case 228:return Alr;case 229:return[0,[0,[2,_3r],Mlr]];case 230:return Ulr;case 231:return Blr;case 232:return[0,Y_];case 233:return Elr;case 234:return[0,[0,Llr,og]];case 235:return Clr;case 236:return Rlr;case 237:return[0,og];case 238:return Dlr;case 239:return Flr;case 240:return[0,V_];case 241:return Xlr;case 242:return[0,[0,Slr,sg]];case 243:return[0,sg];case 244:return Plr;case 245:return Wlr;case 246:return Hlr;case 247:return Olr;case 248:return jlr;case 249:return qlr;default:return[0,q_]}}if(Oh<=e)switch(e){case 179:return Ysr;case 180:return[0,D3r];case 181:return[0,R3r];case 182:return Gsr;case 183:return Qsr;case 184:return[0,Z_];case 185:return Zsr;case 186:return[0,C3r];case 187:return[0,L3r];case 188:return[0,E3r];case 189:return[0,B3r];case 190:return Jsr;case 191:return[0,U3r];case 192:return[0,M3r];case 193:return[0,A3r];case 194:return[0,T3r];case 195:return Ksr;case 196:return[0,N3r];case 197:return[0,g3r];case 198:return rlr;case 199:return[0,[0,elr,M4r]];case 200:return[0,M4r];case 201:return nlr;case 202:return tlr;case 203:return[0,[0,[2,_3r],alr]];case 204:return ulr;case 205:return[0,[0,ilr,fg]];case 206:return[0,fg];case 207:return clr;case 208:return flr;case 209:return[0,Q_];case 210:return olr;case 211:return slr;case 212:return llr;case 213:return vlr;default:return blr}switch(e){case 143:return[0,[0,gsr,A4r]];case 144:return[0,A4r];case 145:return Nsr;case 146:return[0,[0,Isr,ug]];case 147:return Tsr;case 148:return Asr;case 149:return[0,ug];case 150:return Msr;case 151:return[0,J_];case 152:return Usr;case 153:return Bsr;case 154:return Esr;case 155:return Lsr;case 156:return Csr;case 157:return[0,ig];case 158:return Rsr;case 159:return Dsr;case 160:return Fsr;case 161:return[0,[0,Xsr,ig]];case 162:return[0,[0,Ssr,cg]];case 163:return Psr;case 164:return Wsr;case 165:return[0,cg];case 166:return Hsr;case 167:return Osr;case 168:return jsr;case 169:return qsr;case 170:return Vsr;case 171:return $sr;case 172:return[0,H3r];case 173:return[0,W3r];case 174:return zsr;case 175:return[0,P3r];case 176:return[0,S3r];case 177:return[0,X3r];default:return[0,F3r]}}if(72<=e){if(sh<=e)switch(e){case 108:return[0,s4r];case 109:return osr;case 110:return[0,f4r];case 111:return[0,c4r];case 112:return ssr;case 113:return[0,eg];case 114:return lsr;case 115:return[0,rg];case 116:return vsr;case 117:return[0,a4r];case 118:return[0,t4r];case 119:return bsr;case 120:return[0,n4r];case 121:return[0,e4r];case 122:return[0,r4r];case 123:return[0,K3r];case 124:return psr;case 125:return dsr;case 126:return[0,Y3r];case 127:return hsr;case 128:return[0,[0,msr,k4r]];case 129:return[0,[0,ksr,_4r]];case 130:return[0,[0,ysr,T4r]];case 131:return[0,T4r];case 132:return[0,I4r];case 133:return[0,N4r];case 134:return[0,g4r];case 135:return xsr;case 136:return[0,_4r];case 137:return[0,w4r];case 138:return[0,x4r];case 139:return[0,y4r];case 140:return wsr;case 141:return[0,k4r];default:return _sr}switch(e){case 72:return[0,d4r];case 73:return[0,p4r];case 74:return[0,[0,[2,x3r],For]];case 75:return[0,[0,[2,x3r],Xor]];case 76:return[0,[0,[2,z3r],Sor]];case 77:return Por;case 78:return Wor;case 79:return Hor;case 80:return[0,G_];case 81:return[0,[0,Oor,ng]];case 82:return jor;case 83:return[0,[0,[2,w3r],qor]];case 84:return Vor;case 85:return $or;case 86:return zor;case 87:return Yor;case 88:return[0,[0,Gor,tg]];case 89:return[0,tg];case 90:return Qor;case 91:return Zor;case 92:return[0,[0,Jor,ag]];case 93:return[0,[0,[2,_3r],Kor]];case 94:return rsr;case 95:return[0,[0,[2,_3r],esr]];case 96:return nsr;case 97:return[0,ag];case 98:return tsr;case 99:return[0,ng];case 100:return asr;case 101:return usr;case 102:return isr;case 103:return csr;case 104:return fsr;case 105:return[0,b4r];case 106:return[0,v4r];default:return[0,l4r]}}if(36<=e)switch(e){case 36:return[0,[0,kor,j3r]];case 37:return[0,j3r];case 38:return[0,O3r];case 39:case 46:return[0,q3r];case 40:return[0,[0,yor,$3r]];case 41:return[0,$3r];case 42:return[0,V3r];case 43:return xor;case 44:return wor;case 45:return[0,[0,[2,z3r],_or]];case 47:return[0,[0,gor,G3r]];case 48:return[0,G3r];case 49:return[0,[0,Nor,J3r]];case 50:return[0,[0,Ior,K_]];case 51:return[0,K_];case 52:return Tor;case 53:return[0,J3r];case 54:return[0,Z3r];case 55:return[0,Q3r];case 56:return[0,[0,[2,z3r],Aor]];case 57:return Mor;case 58:return[0,[0,Uor,n4r]];case 59:return[0,[0,Bor,i4r]];case 60:return[0,i4r];case 61:return[0,u4r];case 62:return[0,[0,[2,_3r],rg]];case 63:return[0,[0,[2,_3r],eg]];case 64:return Eor;case 65:return[0,[0,Lor,o4r]];case 66:return[0,o4r];case 67:return[0,[0,Cor,b4r]];case 68:return[0,[0,Ror,m4r]];case 69:return[0,m4r];case 70:return[0,h4r];default:return Dor}switch(e){case 0:return[0,[0,Xfr,[0,[2,d3r],Ffr]]];case 1:return[0,d3r];case 2:return Sfr;case 3:return Pfr;case 4:return Wfr;case 5:return Hfr;case 6:return Ofr;case 7:return[0,[0,jfr,V_]];case 8:return[0,[0,[2,$_],qfr]];case 9:return Vfr;case 10:return $fr;case 11:return zfr;case 12:return Yfr;case 13:return[0,[0,[2,$_],Gfr]];case 14:return Qfr;case 15:return[0,[0,[2,m3r],Zfr]];case 16:return[0,[0,Jfr,Y_]];case 17:return Kfr;case 18:return ror;case 19:return eor;case 20:return[0,[0,[2,_3r],nor]];case 21:return[0,[0,[2,y3r],tor]];case 22:return[0,[0,[2,y3r],aor]];case 23:return[0,[0,uor,Q_]];case 24:return[0,[0,ior,I3r]];case 25:return cor;case 26:return oor;case 27:return sor;case 28:return[0,I3r];case 29:return[0,[0,lor,U3r]];case 30:return[0,[0,vor,C3r]];case 31:return[0,[0,por,[0,bor,Z_]]];case 32:return dor;case 33:return[0,[0,[2,_3r],hor]];case 34:return[0,[0,[2,y3r],D3r]];default:return[0,[0,mor,P3r]]}},hee=function(r,e){var n=r;if(66<=n){if(99<=n)switch(n){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return iu;case 108:return ru;case 109:return Lp;case 110:return om;case 111:return[6,e];case 112:return Mv;case 113:return Hc;case 114:return Sh;case 115:return uo;case 116:return[7,e];case 117:return sh;case 118:return J;case 119:return op;case 120:return Co;case 121:return Wd;case 122:return go;case 123:return ko;case 124:return _v;case 125:return nd;case 126:return jh;case 127:return yl;case 128:return Za;case 129:return tl;default:return md}switch(n){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return[3,e];case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return[4,e];case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return[5,e]}}if(33<=n)switch(n){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return[1,e];case 57:return 54;case 58:return 55;case 59:return 56;case 60:return[2,e];case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(n){case 0:throw Nm([0,qw,Dfr],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return[0,e];case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}},mee=function(r){var e=r;if(66<=e){if(99<=e)switch(e){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return iu;case 108:return ru;case 109:return Lp;case 110:return om;case 111:return EAr;case 112:return Mv;case 113:return Hc;case 114:return Sh;case 115:return uo;case 116:return LAr;case 117:return sh;case 118:return J;case 119:return op;case 120:return Co;case 121:return Wd;case 122:return go;case 123:return ko;case 124:return _v;case 125:return nd;case 126:return jh;case 127:return yl;case 128:return Za;case 129:return tl;default:return md}switch(e){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return MAr;case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return UAr;case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return BAr}}if(33<=e)switch(e){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return TAr;case 57:return 54;case 58:return 55;case 59:return 56;case 60:return AAr;case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(e){case 0:throw Nm([0,qw,NAr],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return IAr;case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}},kee=function(r){return r[1]},yee=function(r){return rM(ZAr,iA(A7r,r))},xee=function(r){var e=rM(GAr,iA(A7r,r)),n=rM(QAr,iA(R7r,r));return 0===Lk(e,n)?e:e+" (e.g. '"+n+"')"},wee=function(r){D7r[4].call(null,r);var e=rM(pTr,tA(M7r[1]));return M7r[1]=0,e};if(Ex(fee,lBr)&&Ex(fee,vBr)&&gy(fee,bBr)){var _ee=RYr[24].call(null,fee),gee=RYr[31].call(null,_ee);if(py(Aw(RYr[23],gee),pBr)){var Nee=RYr[24].call(null,fee),Iee=RYr[33].call(null,Nee);Aw(RYr[23],Iee);break r}}}YWr([0,pM]),YWr([0,pM]);var Tee=Cy(kb);YWr([0,pM]),VM([0,pM]);function Aee(r){var e=[16,[0,QRr,[0,r]]];return function(r,n,t){return cee(e,0,n,t)}}YWr([0,BM]);Aee(0),Aee(1);function Mee(r,e){var n=[20,[0,r]];function t(r,e,t){return cee(n,0,e,t)}var a=Aee(e);return function(r,e,n){return iee(a,t,r,e,n)}}r:{if(Ex(Tee,hBr)&&Ex(Tee,mBr)&&gy(Tee,kBr)){var Uee=RYr[24].call(null,Tee),Bee=RYr[31].call(null,Uee);if(py(Aw(RYr[23],Bee),yBr)){var Eee=RYr[24].call(null,Tee),Lee=RYr[33].call(null,Eee);Aw(RYr[23],Lee);break r}}}Mee(10,function(r){switch(r){case 14:var e=21;break;case 3:case 8:e=8;break;case 4:case 9:e=16;break;case 5:case 10:e=32;break;default:throw Nm([0,qw,dBr],1)}return 32-e|0}(14)),YWr([0,pM]),YWr([0,pM]);var Cee=JM([0,Dk]),Ree=VM([0,Dk]),Dee=JM([0,pM]);function Fee(r,e,n,t){return bHr(r,uHr(e,"M0006",$Br,0,0,0,Mw(ZB(VBr),n,t)))}function Xee(r,e,n,t){return bHr(r,uHr(XWr,qBr,jBr,0,0,0,Uw(ZB(OBr),n,e,t)))}function See(r,e){return uHr(r,"M0009",PBr,0,0,0,Aw(ZB(SBr),e))}function Pee(r,e){var 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This stuff is always initially in scope.\nThis should only be type definitions for primitive types.\n*/\n\ntype Any = prim "Any";\ntype None = prim "None";\ntype Null = prim "Null";\ntype Bool = prim "Bool";\ntype Nat = prim "Nat";\ntype Nat8 = prim "Nat8";\ntype Nat16 = prim "Nat16";\ntype Nat32 = prim "Nat32";\ntype Nat64 = prim "Nat64";\ntype Int = prim "Int";\ntype Int8 = prim "Int8";\ntype Int16 = prim "Int16";\ntype Int32 = prim "Int32";\ntype Int64 = prim "Int64";\ntype Float = prim "Float";\ntype Float32 = prim "Float32";\ntype Char = prim "Char";\ntype Text = prim "Text";\ntype Blob = prim "Blob";\ntype Error = prim "Error";\ntype Principal = prim "Principal";\ntype Region = prim "Region";\n',$Jr),rne=Kee[1],ene=Jee("internals",'/*\nInternal definitions.\n\nThis file defines types and values that should always be in scope (because they\nare used by the desugarer, by ir-to-ir-passes or by `mo:⛔`), but not user\nvisible. All names here are prefixed with `@`, so they are invisible from user\ncode, and cannot be shadowed.\n*/\n\ntype @Iter = { next : () -> ?T_ };\n\nvar @cycles : Nat = 0;\nvar @timeout : ?Nat32 = null;\n\n// Function called by backend to add funds to call.\n// DO NOT RENAME without modifying compilation.\nfunc @add_cycles() {\n let cycles = @cycles;\n @reset_cycles();\n if (cycles != 0) {\n (prim "cyclesAdd" : Nat -> ()) cycles;\n };\n switch @timeout {\n case (?timeout) {\n @timeout := null;\n (prim "timeoutSet" : Nat32 -> ()) timeout;\n };\n case null ();\n };\n};\n\n// Function called by backend to zero cycles on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_cycles() {\n @cycles := 0;\n};\n\n// The @ in the name ensures that this cannot be shadowed by user code, so\n// compiler passes can rely on them being in scope\n\n// Implementations for overloaded dot operations\n// Note that these return functions!\n// (Some optimizations in the backend might be feasible.)\n\nfunc @immut_array_get(xs : [A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @mut_array_get(xs : [var A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @immut_array_size(xs : [A]) : () -> Nat = func() : Nat = (prim "array_len" : [A] -> Nat) xs;\nfunc @mut_array_size(xs : [var A]) : () -> Nat = func() : Nat = (prim "array_len" : [var A] -> Nat) xs;\nfunc @mut_array_put(xs : [var A]) : (Nat, A) -> () = func(n : Nat, x : A) = (xs[n] := x);\nfunc @immut_array_keys(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @mut_array_keys(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @immut_array_vals(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @mut_array_vals(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @blob_size(b : Blob) : () -> Nat = func() : Nat = (prim "blob_size" : Blob -> Nat) b;\nfunc @blob_keys(b : Blob) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = (prim "blob_size" : Blob -> Nat) b;\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @blob_get(b : Blob) : Nat -> Nat8 = func(n : Nat) : Nat8 = b[n];\nfunc @blob_vals(xs : Blob) : () -> @Iter = func() : @Iter = object {\n type BlobIter = Any; // not exposed\n let i = (prim "blob_vals_iter" : Blob -> BlobIter) xs;\n public func next() : ?Nat8 {\n if ((prim "blob_iter_done" : BlobIter -> Bool) i) null else ?((prim "blob_iter_next" : BlobIter -> Nat8) i);\n };\n};\nfunc @text_size(xs : Text) : () -> Nat = func() : Nat = (prim "text_len" : Text -> Nat) xs;\nfunc @text_chars(xs : Text) : () -> @Iter = func() : @Iter = object {\n type TextIter = Any; // not exposed\n let i = (prim "text_iter" : Text -> TextIter) xs;\n public func next() : ?Char {\n if ((prim "text_iter_done" : TextIter -> Bool) i) null else ?((prim "text_iter_next" : TextIter -> Char) i);\n };\n};\n\n// Internal helper functions for the show translation\n\n// The text_of functions do not need to be exposed; the user can just use\n// the show above.\n\nfunc @text_of_num(x : Nat, base : Nat, sep : Nat, digits : Nat -> Text) : Text {\n var text = "";\n var n = x;\n\n if (n == 0) return "0";\n\n var i = 0;\n while (n > 0) {\n let rem = n % base;\n if (sep > 0 and i == sep) { text := "_" # text; i := 0 };\n text := digits rem # text;\n n := n / base;\n i += 1;\n };\n text;\n};\n\nfunc @left_pad(pad : Nat, char : Text, t : Text) : Text {\n if (pad > t.size()) {\n var i : Nat = pad - t.size();\n var text = t;\n while (i > 0) {\n text := char # text;\n i -= 1;\n };\n text;\n } else {\n t;\n };\n};\n\nfunc @digits_dec(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + 0x30)));\n\nfunc @text_of_Nat(x : Nat) : Text {\n @text_of_num(x, 10, 3, @digits_dec);\n};\n\nfunc @text_of_Int(x : Int) : Text {\n if (x == 0) "0" else (if (x < 0) "-" else "+") #\n @text_of_Nat((prim "abs" : Int -> Nat) x);\n};\n\nfunc @digits_hex(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + (if (x < 10) 0x30 else 55))));\n\n// There is some duplication with the prim_module, but we need these here\n// before we can load the prim module\nfunc @int64ToInt(n : Int64) : Int = (prim "num_conv_Int64_Int" : Int64 -> Int) n;\nfunc @int32ToInt(n : Int32) : Int = (prim "num_conv_Int32_Int" : Int32 -> Int) n;\nfunc @int16ToInt(n : Int16) : Int = (prim "num_conv_Int16_Int" : Int16 -> Int) n;\nfunc @int8ToInt(n : Int8) : Int = (prim "num_conv_Int8_Int" : Int8 -> Int) n;\nfunc @nat64ToNat(n : Nat64) : Nat = (prim "num_conv_Nat64_Nat" : Nat64 -> Nat) n;\nfunc @nat32ToNat(n : Nat32) : Nat = (prim "num_conv_Nat32_Nat" : Nat32 -> Nat) n;\nfunc @nat16ToNat(n : Nat16) : Nat = (prim "num_conv_Nat16_Nat" : Nat16 -> Nat) n;\nfunc @nat8ToNat(n : Nat8) : Nat = (prim "num_conv_Nat8_Nat" : Nat8 -> Nat) n;\n\nfunc @text_of_Nat8(x : Nat8) : Text = @text_of_Nat(@nat8ToNat x);\nfunc @text_of_Nat16(x : Nat16) : Text = @text_of_Nat(@nat16ToNat x);\nfunc @text_of_Nat32(x : Nat32) : Text = @text_of_Nat(@nat32ToNat x);\nfunc @text_of_Nat64(x : Nat64) : Text = @text_of_Nat(@nat64ToNat x);\nfunc @text_of_Int8(x : Int8) : Text = @text_of_Int(@int8ToInt x);\nfunc @text_of_Int16(x : Int16) : Text = @text_of_Int(@int16ToInt x);\nfunc @text_of_Int32(x : Int32) : Text = @text_of_Int(@int32ToInt x);\nfunc @text_of_Int64(x : Int64) : Text = @text_of_Int(@int64ToInt x);\nfunc @text_of_Float(x : Float) : Text = (prim "Float->Text" : Float -> Text) x;\nfunc @text_of_Float32(x : Float32) : Text = (prim "Float32->Text" : Float32 -> Text) x;\n\nfunc @text_of_Bool(b : Bool) : Text {\n if (b) "true" else "false";\n};\n\nfunc @text_of_Text(t : Text) : Text {\n // TODO: Escape properly\n "\\"" # t # "\\"";\n};\n\nfunc @text_of_Char(c : Char) : Text {\n // TODO: Escape properly\n "\\\'" # (prim "conv_Char_Text" : Char -> Text) c # "\\\'";\n};\n\nfunc @text_of_Blob(blob : Blob) : Text {\n var t = "\\"";\n for (b in blob.values()) {\n // Could do more clever escaping, e.g. leave ascii and utf8 in place\n t #= "\\\\" # @left_pad(2, "0", @text_of_num(@nat8ToNat b, 16, 0, @digits_hex));\n };\n t #= "\\"";\n return t;\n};\n\nfunc @text_has_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?\'(\') true;\n case _ false;\n };\n};\n\nfunc @text_needs_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?(\'+\' or \'-\' or \'?\' or \'#\')) true;\n case _ false;\n };\n};\n\nfunc @text_of_option(f : T -> Text, x : ?T) : Text {\n switch (x) {\n case (?y) {\n let fy = f y;\n if (@text_needs_parens(fy)) "?(" # fy # ")" else "?" # fy;\n };\n case null { "null" };\n };\n};\n\nfunc @text_of_variant(l : Text, f : T -> Text, x : T) : Text {\n let fx = f x;\n if (fx == "()") "#" # l else if (@text_has_parens(fx)) "#" # l # fx else "#" # l # "(" # fx # ")";\n};\n\nfunc @text_of_array(f : T -> Text, xs : [T]) : Text {\n var text = "[";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @text_of_array_mut(f : T -> Text, xs : [var T]) : Text {\n var text = "[var";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n text #= " ";\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @equal_array(eq : (T, T) -> Bool, a : [T], b : [T]) : Bool {\n if (a.size() != b.size()) {\n return false;\n };\n var i = 0;\n let s = a.size();\n while (i < s) {\n if (not eq(a[i], b[i])) {\n return false;\n };\n i += 1;\n };\n return true;\n};\n\ntype @CleanCont = () -> ();\ntype @BailCont = @CleanCont;\ntype @Cont = T -> ();\ntype @Async = (@Cont, @Cont, @BailCont) -> {\n #suspend;\n #schedule : () -> ();\n};\n\ntype @Refund = Nat;\ntype @Result = { #ok : (refund : @Refund, value : T); #error : Error };\n\ntype @Waiter = (@Refund, T) -> ();\n\nvar @refund : @Refund = 0;\n\n// Function called by backend to zero refunds on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_refund() {\n @refund := 0;\n};\n\nfunc @getSystemRefund() : @Refund {\n return (prim "cyclesRefunded" : () -> Nat)();\n};\n\n// trivial cleanup action\nfunc @cleanup() {};\n\nfunc @new_async() : (@Async, @Cont, @Cont, @CleanCont) {\n let w_null = func(r : @Refund, t : T) {};\n let r_null = func(_ : Error) {};\n var result : ?(@Result) = null;\n var ws : @Waiter = w_null;\n var rs : @Cont = r_null;\n let getRefund = @cycles != 0;\n\n func fulfill(t : T) {\n switch result {\n case null {\n let refund = if getRefund @getSystemRefund() else 0;\n result := ?(#ok(refund, t));\n let ws_ = ws;\n ws := w_null;\n rs := r_null;\n ws_(refund, t);\n };\n case (?_) { assert false };\n };\n };\n\n func fail(e : Error) {\n switch result {\n case null {\n result := ?(#error e);\n let rs_ = rs;\n ws := w_null;\n rs := r_null;\n rs_(e);\n };\n case (?_) { assert false };\n };\n };\n\n var cleanup : @BailCont = @cleanup;\n\n func enqueue(k : @Cont, r : @Cont, b : @BailCont) : {\n #suspend;\n #schedule : () -> ();\n } {\n cleanup := b;\n switch result {\n case null {\n let ws_ = ws;\n ws := func(r : @Refund, t : T) {\n ws_(r, t);\n @reset_cycles();\n @refund := r;\n k(t);\n };\n let rs_ = rs;\n rs := func(e : Error) {\n rs_(e);\n @reset_cycles();\n @reset_refund();\n r(e);\n };\n #suspend;\n };\n case (?#ok(r, t)) {\n #schedule(func() { @refund := r; k(t) });\n };\n case (?#error e) {\n #schedule(func _ = r(e));\n };\n };\n };\n\n (enqueue, fulfill, fail, func() = cleanup());\n};\n\n// Subset of IC management canister interface required for our use\nmodule @ManagementCanister = {\n public type wasm_module = Blob;\n public type canister_settings = {\n controllers : ?[Principal];\n compute_allocation : ?Nat;\n memory_allocation : ?Nat;\n freezing_threshold : ?Nat;\n };\n};\n\ntype @WasmMemoryPersistence = {\n #keep;\n #replace;\n};\n\ntype @UpgradeOptions = {\n wasm_memory_persistence : ?@WasmMemoryPersistence;\n};\n\nlet @ic00 = actor "aaaaa-aa" : actor {\n create_canister : {\n settings : ?@ManagementCanister.canister_settings;\n sender_canister_version : ?Nat64;\n } -> async { canister_id : Principal };\n install_code : {\n mode : {\n #install;\n #reinstall;\n #upgrade : ?@UpgradeOptions;\n };\n canister_id : Principal;\n wasm_module : @ManagementCanister.wasm_module;\n arg : Blob;\n sender_canister_version : ?Nat64;\n } -> async ();\n};\n\nfunc @install_actor_helper(\n install_arg : {\n #new : { settings : ?@ManagementCanister.canister_settings };\n #install : Principal;\n #reinstall : actor {};\n #upgrade : actor {};\n #upgrade_with_persistence : {\n wasm_memory_persistence : @WasmMemoryPersistence;\n canister : actor {};\n };\n },\n enhanced_orthogonal_persistence : Bool,\n wasm_module : Blob,\n arg : Blob,\n) : async* Principal = async* {\n let (mode, canister_id) = switch install_arg {\n case (#new settings) {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat) available;\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings with sender_canister_version;\n };\n (#install, canister_id);\n };\n case (#install principal1) { (#install, principal1) };\n case (#reinstall actor1) {\n (#reinstall, (prim "principalOfActor" : (actor {}) -> Principal) actor1);\n };\n case (#upgrade actor2) {\n let wasm_memory_persistence = if enhanced_orthogonal_persistence {\n ?(#keep);\n } else {\n null;\n };\n let upgradeOptions = {\n wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) actor2);\n };\n case (#upgrade_with_persistence { wasm_memory_persistence; canister }) {\n let upgradeOptions = {\n wasm_memory_persistence = ?wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) canister);\n };\n };\n await @ic00.install_code {\n mode;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// It would be desirable if create_actor_helper can be defined\n// without paying the extra self-remote-call-cost\n// TODO: This helper is now only used by Prim.createActor and could be removed, except\n// that Prim.createActor was mentioned on the forum and might be in use. (#3420)\nfunc @create_actor_helper(wasm_module : Blob, arg : Blob) : async Principal = async {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat)(available);\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings = null;\n sender_canister_version;\n };\n await @ic00.install_code {\n mode = #install;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// raw calls\nfunc @call_raw(p : Principal, m : Text, a : Blob) : async Blob {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n if (available != 0) {\n @cycles := (prim "cyclesAccept" : Nat -> Nat) available;\n };\n await (prim "call_raw" : (Principal, Text, Blob) -> async Blob)(p, m, a);\n};\n\n// helpers for reifying ic0.call_perform failures as errors\nfunc @call_succeeded() : Bool {\n (prim "call_perform_status" : () -> Nat32)() == 0;\n};\n\nfunc @call_error() : Error {\n let status = (prim "call_perform_status" : () -> Nat32)();\n let message = (prim "call_perform_message" : () -> Text)();\n let code = #call_error({ err_code = status });\n (prim "cast" : ({ #call_error : { err_code : Nat32 } }, Text) -> Error)(code, message);\n};\n\n// default timer mechanism implementation\n// fundamental node invariant: max_exp pre <= expire <= min_exp post\n// corollary: if expire == 0 then the pre is completely expired\n//\n// Note: Below the `expire` field is an encoding of an aliased mutable field with\n// a single-element mutable array. It eliminates `--experimental-field-aliasing`\n// while compiling this file at the cost of slightly higher syntactic noise\n// as well as increased allocation and runtime cost accessing the data. Oh well.\n//\ntype @Node = {\n expire : [var Nat64];\n id : Nat;\n delay : ?Nat64;\n job : () -> async ();\n pre : ?@Node;\n post : ?@Node;\n};\n\nvar @timers : ?@Node = null;\n\nfunc @prune(n : ?@Node) : ?@Node = switch n {\n case null null;\n case (?n) {\n if (n.expire[0] == 0) {\n @prune(n.post) // by corollary\n } else {\n ?{ n with pre = @prune(n.pre) };\n };\n };\n};\n\nfunc @nextExpiration(n : ?@Node) : Nat64 = switch n {\n case null 0;\n case (?n) {\n let pivot = n.expire[0];\n if (pivot == 0) return @nextExpiration(n.post);\n let exp = @nextExpiration(n.pre);\n if (exp == 0) pivot else exp;\n };\n};\n\n// Function called by backend to run eligible timed actions.\n// DO NOT RENAME without modifying compilation.\nfunc @timer_helper() : async () {\n func Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n };\n\n let now = (prim "time" : () -> Nat64)();\n\n var gathered = 0;\n let thunks = Array_init async ())>(10, null); // we want max 10\n\n func gatherExpired(n : ?@Node) = switch n {\n case null ();\n case (?n) {\n let pivot = n.expire[0];\n if (pivot > 0) gatherExpired(n.pre); // by corollary\n if (pivot <= now and gathered < thunks.size()) {\n if (pivot > 0) {\n // not expunged yet\n thunks[gathered] := ?(n.job);\n switch (n.delay) {\n case (null or ?0) n.expire[0] := 0;\n case (?delay) {\n // re-add the node, skipping past expirations\n let expire = pivot + delay * (1 + (now - pivot) / delay);\n n.expire[0] := 0;\n // N.B. reinsert only works on pruned nodes\n func reinsert(m : ?@Node) : @Node = switch m {\n case null ({\n n with expire = [var expire];\n pre = null;\n post = null;\n });\n case (?m) {\n assert m.expire[0] != 0;\n if (expire < m.expire[0]) ({ m with pre = ?reinsert(m.pre) }) else ({\n m with post = ?reinsert(m.post)\n });\n };\n };\n @timers := ?reinsert(@prune(@timers));\n };\n };\n gathered += 1;\n };\n gatherExpired(n.post);\n };\n };\n };\n\n gatherExpired(@timers);\n\n let exp = @nextExpiration @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n if (exp == 0) @timers := null;\n\n var failed : Nat64 = 0;\n func reinsert(job : () -> async ()) {\n if (failed == 0) {\n @timers := @prune @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 1;\n };\n failed += 1;\n @timers := ?(\n switch @timers {\n case (?{ id = 0; pre; post; job = j; expire; delay })\n // push top node\'s contents into pre\n ({\n expire = [var failed];\n id = 0;\n delay;\n job;\n post;\n pre = ?{ id = 0; expire; pre; post = null; delay; job = j };\n });\n case _ ({\n expire = [var failed];\n id = 0;\n delay = null;\n job;\n pre = null;\n post = @timers;\n });\n }\n );\n };\n\n for (o in thunks.values()) {\n switch o {\n case (?thunk) try ignore thunk() catch _ reinsert thunk;\n case _ return;\n };\n };\n};\n\nvar @lastTimerId = 0;\n\nfunc @setTimer(delayNanos : Nat64, recurring : Bool, job : () -> async ()) : (id : Nat) {\n @lastTimerId += 1;\n let id = @lastTimerId;\n let now = (prim "time" : () -> Nat64)();\n let expire = now + delayNanos;\n let delay = if recurring ?delayNanos else null;\n // only works on pruned nodes\n func insert(n : ?@Node) : @Node = switch n {\n case null ({\n expire = [var expire];\n id;\n delay;\n job;\n pre = null;\n post = null;\n });\n case (?n) {\n assert n.expire[0] != 0;\n if (expire < n.expire[0]) ({ n with pre = ?insert(n.pre) }) else ({\n n with post = ?insert(n.post)\n });\n };\n };\n @timers := ?insert(@prune(@timers));\n\n let exp = @nextExpiration @timers;\n if (exp == 0) @timers := null;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n\n id;\n};\n\nfunc @cancelTimer(id : Nat) {\n func graft(onto : ?@Node, branch : ?@Node) : ?@Node = switch (onto, branch) {\n case (null, null) null;\n case (null, _) branch;\n case (_, null) onto;\n case (?onto, _) { ?{ onto with post = graft(onto.post, branch) } };\n };\n\n func hunt(n : ?@Node) : ?@Node = switch n {\n case null n;\n case (?{ id = node; pre; post }) {\n if (node == id) {\n graft(pre, post);\n } else do ? { { n! with pre = hunt pre; post = hunt post } };\n };\n };\n\n @timers := hunt @timers;\n\n if (@nextExpiration @timers == 0) {\n // no more expirations ahead\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 0;\n @timers := null;\n };\n};\n\nfunc @set_global_timer(time : Nat64) = ignore (prim "global_timer_set" : Nat64 -> Nat64) time;\n\n// Function that deduplicates a blob.\nfunc @dedup(b : Blob) : Blob {\n // WeakRef type.\n type WeakRef = {\n ref : weak Blob;\n };\n // A linked list of WeakRefs.\n type List = {\n var next : ?List;\n value : ?WeakRef;\n originalBlob : Blob;\n index : Nat;\n };\n func Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n };\n func Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n };\n let HASH_ARRAY_SIZE = 16_384;\n // Debug print. Will be removed.\n func debugPrint(x : Text) { (prim "print" : Text -> ()) x };\n // Simple hash function.\n func hashBlob(b : Blob) : Nat32 { (prim "crc32Hash" : Blob -> Nat32) b };\n // Import weakref allocation from rts.\n func allocWeakRef(obj : T) : weak T {\n (prim "alloc_weak_ref" : T -> weak T)(obj);\n };\n // Dereference a weak ref.\n func weakGet(w : weak T) : ?T {\n (prim "weak_get" : weak T -> ?T)(w);\n };\n func getDedupTable() : ?[var List] {\n (prim "get_dedup_table" : () -> ?[var List])();\n };\n func setDedupTable(dedupTable : [var List]) {\n (prim "set_dedup_table" : [var List] -> ())(dedupTable);\n };\n func arrayToBlob(a : [Nat8]) : Blob = (prim "arrayToBlob" : [Nat8] -> Blob) a;\n func getOriginalBlob(b : Blob) : Blob {\n // Creates a copy of the blob without the first 5 magic bytes ("!caf!").\n let copiedArr = Array_tabulate(b.size() - 5, func(i : Nat) : Nat8 = b[i + 5]);\n let originalBlob = arrayToBlob(copiedArr);\n originalBlob;\n };\n func blobCompare(b1 : Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\n\n // Helper functions for the hash array.\n //\n //\n func addToList(list : List, originalBlob : Blob, weakRef : WeakRef) : List {\n let newList = {\n var next = ?list;\n value = ?weakRef;\n originalBlob = originalBlob;\n index = list.index + 1;\n };\n newList;\n };\n\n func getFromList(list : List, originalBlob : Blob) : ?WeakRef {\n var copy = list;\n loop {\n if (blobCompare(copy.originalBlob, originalBlob) == 0) {\n return copy.value;\n } else {\n let next = copy.next;\n switch next {\n case null { return null };\n case (?next) { copy := next };\n };\n };\n };\n };\n\n func getListLen(list : List) : Nat {\n list.index;\n };\n\n func getHashArrayLen(hashArray : [var List]) : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n len += getListLen(hashArray[i]);\n i += 1;\n };\n len;\n };\n\n func addToHashArray(hashArray : [var List], b : Blob) {\n let hashValue = hashBlob(b);\n let index = @nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n let list = hashArray[index];\n let weakRef = { ref = allocWeakRef(b) };\n // Use a copy of the original blob (minus the magic bytes).\n hashArray[index] := addToList(list, getOriginalBlob(b), weakRef);\n };\n\n func getFromHashArray(hashArray : [var List], b : Blob) : ?WeakRef {\n let hashValue = hashBlob(b);\n let index = @nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n let list = hashArray[index];\n // Use the original blob (minus the magic bytes).\n getFromList(list, getOriginalBlob(b));\n };\n //\n // End helper functions.\n\n // Check if the blob has magic bytes.\n // We only deduplicate blobs which have the first 5 bytes (!caf!).\n // Otherwise, we return the original blob so that the system works as usual.\n if (b.size() < 5) {\n return b;\n };\n if (b[0] != 0x21 or b[1] != 0x63 or b[2] != 0x61 or b[3] != 0x66 or b[4] != 0x21) {\n //debugPrint("The blob doesn\'t have magic bytes so we return the original.");\n return b;\n };\n\n // Get the dedup table from the RTS.\n let ptr = getDedupTable();\n let hashArray = switch ptr {\n case (?dedupTable) {\n dedupTable;\n };\n case null {\n // This means that the dedup table was not yet created.\n let arr = Array_tabulateVar(HASH_ARRAY_SIZE, func(i : Nat) : List = { var next = null; value = null; originalBlob = ""; index = 0 });\n // We need to set it via the RTS so that it is persisted.\n setDedupTable(arr);\n arr;\n };\n };\n\n // Get the WeakRef from the hash table.\n let dedupedBlobWeakRef = getFromHashArray(hashArray, b);\n let result = switch dedupedBlobWeakRef {\n case (?weakRef) {\n // It was in the hash so we dereference the WeakRef.\n let derefed = weakGet(weakRef.ref);\n switch derefed {\n case (?derefed) { derefed };\n case null {\n // This will only happen if the blob was deallocated by the GC.\n // We put it back in the hash table so that it can be deduplicated again.\n addToHashArray(hashArray, b);\n b;\n };\n };\n };\n // It wasn\'t in the hash so we put it in\n // and return the original.\n case null {\n addToHashArray(hashArray, b);\n b;\n };\n };\n\n result;\n};\n\n// envvar-indirection for principals\nfunc @envvar_principal(envvar : Text) : Blob =\n switch ((prim "env_var" : Text -> ?Text) envvar) {\n case (?envvar) (prim "decode_principal" : Text -> Blob) envvar;\n case _ (prim "trap" : Text -> None)("envvar `" # envvar # "` not set")\r\n };\n',Kee[2]),nne=ene[2];function tne(r,e){return Aw(YB(cT,iEr),r),oA(xHr,e),xRr(1)}function ane(r){var e=r[2];if("number"==typeof e)return 0===e?"/* unresolved */":nEr;switch(e[0]){case 0:var n=e[1][2];break;case 1:n=e[1][1];break;default:n=e[1]}return n}function une(r,e,n,t){var a=[0,Ree[1]],u=[0,e],i=[0,0],c=[0,t];return fHr((function(r){var e=c[1],n=u[1];return[0,tA(i[1]),n,e]}),function e(n,t){return lHr((function(t){var f=ane(t),o=x$r[29].call(null,f,c[1]);return o?(u[1]=TJr(u[1],o[1]),iHr(0)):Gjr([0,f],(function(f){var o=t[2],s=ane(t);if("number"!=typeof o)switch(o[0]){case 0:var l=o[1],v=l[2],b=l[1];if(x$r[3].call(null,v,u[1][2]))return iHr(0);if(Ree[3].call(null,o,a[1])){var p=Aw(ZB(rEr),v);return cHr(t[1],"M0003",eEr,p)}return a[1]=Ree[4].call(null,o,a[1]),oHr(Mw(r,t[1],v),(function(r){var t=r[1],f=r[2];return oHr(_Hr(0,(function(r){return oA((function(e){return CJr(r,e)}),t[2]),bZ})),(function(r){var l=0===b?n:b;return oHr(qee(zee(l),t,f),(function(r){return oHr(e(l,r),(function(r){var e=YQr(1,t),n=[0,e[1],e[2],[0,v,e[3][2]]];return oHr(Qee(u[1],l,n),(function(r){return i[1]=[0,n,i[1]],u[1]=TJr(u[1],r),c[1]=x$r[4].call(null,s,r,c[1]),a[1]=Ree[6].call(null,o,a[1]),iHr(0)}))}))}))}))}));case 1:var d=o[1][1];return oHr(oHr(jjr(d),(function(r){var e=r[1],n=aOr(e,r[2]),t=[0,tOr[1]],a=[0,Vjr[1]];return oHr(fHr((function(r){return a[1]}),lHr((function r(e){return tOr[3].call(null,e,t[1])?Ojr(XWr,yH,Aw(ZB(kH),e)):Vjr[3].call(null,e,a[1])?iHr(0):(t[1]=tOr[4].call(null,e,t[1]),oHr(jjr(e),(function(n){var u=n[1],i=aOr(u,n[2]);return oHr(lHr(r,i),(function(r){return oHr($jr(i,jHr,a[1]),(function(r){return oHr(qjr(r,u),(function(r){return a[1]=Vjr[4].call(null,e,r[1],a[1]),t[1]=tOr[6].call(null,e,t[1]),iHr(0)}))}))}))})))}),n)),(function(r){return oHr($jr(n,jHr,r),(function(r){return oHr(qjr(r,e),(function(r){return iHr([0,e,r[1],r[2]])}))}))}))})),(function(r){var e=r[3],n=r[2];if(0===e){var a=Aw(ZB(YBr),d);return cHr(t[1],"M0004",GBr,a)}r:try{var i=[0,x$r[1]];if(!e)throw Nm([0,qw,lMr],1);var f=e[1],o=f[2];e:{var l=f[1];if("number"!=typeof o){switch(o[0]){case 7:var v=iA((function(r){return g9r(n,i,r)}),o[1]);break;case 8:var b=Vqr(x9r(n,i,o[2]));if("number"!=typeof b&&3===b[0]&&1===b[1]){var p=b[2];oA(xHr,[0,aHr(l,"M0185",oMr,0,0,0,"importing Candid service constructor as instantiated service"),0]);v=p;break}throw Nm([0,qw,sMr],1);default:break e}var h=LA(gqr,x$r[13].call(null,(function(r,e,n){if("number"!=typeof e&&1===e[0])return[0,[0,r,e[1],cqr],n];throw Nm([0,qw,fMr],1)}),i[1],0)),m=[3,1,LA(gqr,v),h];break r}}throw Nm([0,qw,vMr],1)}catch(r){var k=Zx(r);if(k[1]!==NHr)throw Nm(k,0);var y=[0,k[2],0],x=Aw(ZB(QBr),d);return[1,[0,uHr(t[1],"M0153",ZBr,0,0,0,x),y]]}var w=MJr(d,m);return u[1]=TJr(u[1],w),c[1]=x$r[4].call(null,s,w,c[1]),iHr(0)}));default:var h=MJr(o[1],__);return u[1]=TJr(u[1],h),iHr(0)}if(0===o)throw Nm([0,qw,JBr],1);if(x$r[3].call(null,KBr,u[1][2]))return iHr(0);var m=Vee(0,e2r,DM(0,'/*\nThe primitive definitions.\n\nThis module should contain everything that cannot be implemented in plain\nMotoko. It is available via `import Prim "mo:⛔"`. Normal user code would\nusually not import that module directly, but through `base`, which takes\ncare of providing a proper module structure, e.g. exposing `Array_tabulate`\nthrough `Array.tabulate`.\n\nTherefore, the prim module does not need to provide a stable interface, as its\nonly supported consumer is the `base` library, and that is bundled with the\ncompiler.\n\nNevertheless, it shoud be _safe_ to import prim, i.e. the definitions here\nshould not break type safety or other guarantees of the language.\n*/\n\nmodule Types = {\n public type Any = prim "Any";\n public type None = prim "None";\n public type Null = prim "Null";\n public type Bool = prim "Bool";\n public type Nat = prim "Nat";\n public type Nat8 = prim "Nat8";\n public type Nat16 = prim "Nat16";\n public type Nat32 = prim "Nat32";\n public type Nat64 = prim "Nat64";\n public type Int = prim "Int";\n public type Int8 = prim "Int8";\n public type Int16 = prim "Int16";\n public type Int32 = prim "Int32";\n public type Int64 = prim "Int64";\n public type Float = prim "Float";\n public type Float32 = prim "Float32";\n public type Char = prim "Char";\n public type Text = prim "Text";\n public type Blob = prim "Blob";\n public type Error = prim "Error";\n public type Principal = prim "Principal";\n public type Region = prim "Region";\n};\n\nfunc abs(x : Int) : Nat { (prim "abs" : Int -> Nat) x };\nfunc shiftLeft(x : Nat, shift : Nat32) : Nat {\n (prim "lsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\nfunc shiftRight(x : Nat, shift : Nat32) : Nat {\n (prim "rsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\n\n// for testing\nfunc idlHash(x : Text) : Nat32 { (prim "idlHash" : Text -> Nat32) x };\n\n// Printing\n\nfunc debugPrint(x : Text) { (prim "print" : Text -> ()) x };\nfunc debugPrintNat(x : Nat) { debugPrint(@text_of_Nat x) };\nfunc debugPrintInt(x : Int) { debugPrint(@text_of_Int x) };\nfunc debugPrintChar(x : Char) { debugPrint(charToText x) };\n\n// Trapping\n\nfunc trap(x : Text) : None { (prim "trap" : Text -> None) x };\n\n// RTS stats\n\nfunc rts_version() : Text { (prim "rts_version" : () -> Text)() };\nfunc rts_memory_size() : Nat { (prim "rts_memory_size" : () -> Nat)() };\nfunc rts_heap_size() : Nat { (prim "rts_heap_size" : () -> Nat)() };\nfunc rts_total_allocation() : Nat {\n (prim "rts_total_allocation" : () -> Nat)();\n};\nfunc rts_reclaimed() : Nat { (prim "rts_reclaimed" : () -> Nat)() };\nfunc rts_max_live_size() : Nat { (prim "rts_max_live_size" : () -> Nat)() };\nfunc rts_max_stack_size() : Nat { (prim "rts_max_stack_size" : () -> Nat)() };\nfunc rts_callback_table_count() : Nat {\n (prim "rts_callback_table_count" : () -> Nat)();\n};\nfunc rts_callback_table_size() : Nat {\n (prim "rts_callback_table_size" : () -> Nat)();\n};\nfunc rts_mutator_instructions() : Nat {\n (prim "rts_mutator_instructions" : () -> Nat)();\n};\nfunc rts_collector_instructions() : Nat {\n (prim "rts_collector_instructions" : () -> Nat)();\n};\nfunc rts_lifetime_instructions() : Nat {\n (prim "rts_lifetime_instructions" : () -> Nat)();\n};\nfunc rts_upgrade_instructions() : Nat {\n (prim "rts_upgrade_instructions" : () -> Nat)();\n};\n\nfunc rts_stable_memory_size() : Nat {\n (prim "rts_stable_memory_size" : () -> Nat)();\n};\n\nfunc rts_logical_stable_memory_size() : Nat {\n (prim "rts_logical_stable_memory_size" : () -> Nat)();\n};\n\n//TODO: just call this `weak`?\nfunc allocWeakRef(obj : T) : weak T {\n (prim "alloc_weak_ref" : T -> weak T)(obj);\n};\n\nfunc weakGet(w : weak T) : ?T {\n (prim "weak_get" : weak T -> ?T)(w);\n};\n\nfunc isLive(weak_ref : weak Any) : Bool {\n (prim "weak_ref_is_live" : weak Any -> Bool)(weak_ref);\n};\n\nfunc envVarNames() : [Text] {\n (prim "env_var_names" : () -> [Text])();\n};\n\nfunc envVar(name : Text) : ?Text {\n (prim "env_var" : Text -> ?Text)(name);\n};\n\n/// EXPERIMENTAL SECTION AND API. DO NOT USE IN PRODUCTION CODE!\n///\ntype __WeakRef = {\n ref : weak Blob;\n};\ntype __List = {\n var next : ?__List;\n value : ?__WeakRef;\n originalBlob : Blob;\n index : Nat;\n};\nfunc __getDedupTable() : ?[var __List] {\n (prim "get_dedup_table" : () -> ?[var __List])();\n};\n\nclass BlobIterator(hash : [var __List]) {\n let HASH_ARRAY_SIZE = 16_384;\n var currentIndex : Nat = 0;\n var currentList : ?__List = null;\n let hashArray = hash;\n\n // Counts the number of dead blobs.\n public func size() : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n var list = hashArray[i];\n label countLoop loop {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) {};\n case null { len += 1 };\n };\n };\n case null {};\n };\n let next = list.next;\n switch next {\n case (?next) { list := next };\n case null { break countLoop };\n };\n };\n i += 1;\n };\n len;\n };\n\n func getDeadBlobFromListNode(list : ?__List) : ?Blob {\n switch list {\n case (?myList) {\n let weakRef = myList.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) { return null };\n case null { return ?myList.originalBlob };\n };\n };\n case null { return null };\n };\n };\n case null { return null };\n };\n };\n\n func advanceListNode(list : ?__List) : ?__List {\n switch list {\n case (?list) { list.next };\n case null { null };\n };\n };\n\n public func nextDeadBlob() : Blob {\n // Start at the current index and list.\n loop {\n // Get the blob from the current list node.\n let blob = getDeadBlobFromListNode(currentList);\n switch blob {\n // If we found a blob, return it.\n case (?blob) {\n // Advance to the next list node.\n // So that next time we call nextDeadBlob(), we get the next blob.\n currentList := advanceListNode(currentList);\n return blob;\n };\n case null {\n // If we didn\'t find a blob, advance to the next list node.\n currentList := advanceListNode(currentList);\n\n switch currentList {\n case (?_) {};\n // If we reached the end of the list, advance to the next index.\n case null {\n currentIndex += 1;\n // If we reached the end of the hash array, return null.\n if (currentIndex >= HASH_ARRAY_SIZE) {\n return "";\n };\n // Get the new list node.\n currentList := ?hashArray[currentIndex];\n };\n };\n\n };\n };\n };\n "";\n };\n\n func computeIndex(b : Blob) : Nat {\n // Append the magic bytes to compute the hash.\n let magicBytes : [Nat8] = [0x21, 0x63, 0x61, 0x66, 0x21];\n let originalBlob : [Nat8] = blobToArray(b);\n let concat = Array_tabulate(magicBytes.size() + originalBlob.size(), func(i : Nat) : Nat8 = if (i < magicBytes.size()) { magicBytes[i] } else { originalBlob[i - magicBytes.size()] });\n let bWithMagic = arrayToBlob(concat);\n // Get hash bucket.\n let hashValue = hashBlob(bWithMagic);\n nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n };\n\n public func isBlobLive(b : Blob) : Bool {\n let index = computeIndex(b);\n var list = hashArray[index];\n // Walk the list and check if the blob is live.\n loop {\n if (blobCompare(list.originalBlob, b) == 0) {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) { return isLive(weakRef.ref) };\n // The weak ref should not be null, but just in case.\n case null { return false };\n };\n } else {\n // Advance to the next list node.\n let next = list.next;\n switch next {\n case (?next) { list := next };\n // If we reached the end of the list, return false.\n case null { return false };\n };\n };\n };\n };\n\n func pruneFirstElement(list : __List, b : Blob, index : Nat) : Bool {\n let deadBlob = getDeadBlobFromListNode(?list);\n switch deadBlob {\n case (?deadBlob) {\n if (blobCompare(deadBlob, b) == 0) {\n let nextElem = list.next;\n switch nextElem {\n case (?next) { hashArray[index] := next; return true };\n case null {\n // Do nothing. This case should not happen as the array is initialized\n // with a sentinel (empty) value that is non-null.};\n };\n };\n };\n };\n // No dead blob in this list node.\n case null {};\n };\n false;\n };\n\n public func pruneDeadBlobs(confirmedDeadBlobs : [Blob]) {\n // For each element in the confirmedDeadBlobs array, we check if it is in the hash array.\n // If it is, and if the corresponding WeakRef is null, we remove the whole list node\n // from the hash array.\n var i = 0;\n while (i < confirmedDeadBlobs.size()) {\n let b = confirmedDeadBlobs[i];\n // Get hash bucket.\n let index = computeIndex(b);\n // Get the list of the hash bucket and walk it until we find the blob b.\n let list = hashArray[index];\n // Special case for the first list node.\n let pruned = pruneFirstElement(list, b, index);\n if (pruned == false) {\n // If we\'re here, we know that the blob is not the first list node.\n // So we can advance to the next list node.\n var prev = ?list;\n var crntNode = advanceListNode(?list);\n label findLoop loop {\n let crntBlob = getDeadBlobFromListNode(crntNode);\n switch crntBlob {\n case (?crntBlob) {\n if (blobCompare(crntBlob, b) == 0) {\n // We found the blob and we know for sure it\'s dead.\n // We just need to prune the current list node.\n switch (prev, crntNode) {\n case (?prev, ?crntNode) {\n prev.next := crntNode.next;\n // Break the loop, we found the blob and pruned.\n break findLoop;\n };\n case _ {};\n };\n };\n };\n case null {\n // No dead blob in this list node.\n // We can advance pointers.\n prev := crntNode;\n crntNode := advanceListNode(crntNode);\n };\n };\n switch crntNode {\n case (?crntNode) {};\n // We reached the end, break.\n case null { break findLoop };\n };\n };\n };\n // Continue loop.\n i += 1;\n };\n\n };\n\n};\n\nfunc getDeadBlobs() : ?[Blob] {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n let numDeadBlobs = dedupTableIter.size();\n let deadBlobs = Array_tabulate(numDeadBlobs, func(i : Nat) : Blob { dedupTableIter.nextDeadBlob() });\n return ?deadBlobs;\n };\n case null { return null };\n };\n\n};\n\nfunc pruneConfirmedDeadBlobs(confirmedDeadBlobs : [Blob]) {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n dedupTableIter.pruneDeadBlobs(confirmedDeadBlobs);\n };\n };\n};\n\nfunc isStorageBlobLive(b : Blob) : Bool {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let iter = BlobIterator(dedupTable);\n iter.isBlobLive(b);\n };\n case null { false };\n };\n};\n///\n/// END EXPERIMENTAL SECTION.\n\n// Total conversions (fixed to big)\n\nlet int64ToInt = @int64ToInt;\nlet int32ToInt = @int32ToInt;\nlet int16ToInt = @int16ToInt;\nlet int8ToInt = @int8ToInt;\nlet nat64ToNat = @nat64ToNat;\nlet nat32ToNat = @nat32ToNat;\nlet nat16ToNat = @nat16ToNat;\nlet nat8ToNat = @nat8ToNat;\n\n// Trapping conversions (big to fixed)\n\nfunc intToInt64(n : Int) : Int64 = (prim "num_conv_Int_Int64" : Int -> Int64) n;\nfunc intToInt32(n : Int) : Int32 = (prim "num_conv_Int_Int32" : Int -> Int32) n;\nfunc intToInt16(n : Int) : Int16 = (prim "num_conv_Int_Int16" : Int -> Int16) n;\nfunc intToInt8(n : Int) : Int8 = (prim "num_conv_Int_Int8" : Int -> Int8) n;\n\nfunc natToNat64(n : Nat) : Nat64 = (prim "num_conv_Nat_Nat64" : Nat -> Nat64) n;\nfunc natToNat32(n : Nat) : Nat32 = (prim "num_conv_Nat_Nat32" : Nat -> Nat32) n;\nfunc natToNat16(n : Nat) : Nat16 = (prim "num_conv_Nat_Nat16" : Nat -> Nat16) n;\nfunc natToNat8(n : Nat) : Nat8 = (prim "num_conv_Nat_Nat8" : Nat -> Nat8) n;\n\n// Wrapping conversions (big to fixed, and within fixed)\n\nfunc intToInt64Wrap(n : Int) : Int64 = (prim "num_wrap_Int_Int64" : Int -> Int64) n;\nfunc intToInt32Wrap(n : Int) : Int32 = (prim "num_wrap_Int_Int32" : Int -> Int32) n;\nfunc intToInt16Wrap(n : Int) : Int16 = (prim "num_wrap_Int_Int16" : Int -> Int16) n;\nfunc intToInt8Wrap(n : Int) : Int8 = (prim "num_wrap_Int_Int8" : Int -> Int8) n;\n\nfunc intToNat64Wrap(n : Int) : Nat64 = (prim "num_wrap_Int_Nat64" : Int -> Nat64) n;\nfunc intToNat32Wrap(n : Int) : Nat32 = (prim "num_wrap_Int_Nat32" : Int -> Nat32) n;\nfunc intToNat16Wrap(n : Int) : Nat16 = (prim "num_wrap_Int_Nat16" : Int -> Nat16) n;\nfunc intToNat8Wrap(n : Int) : Nat8 = (prim "num_wrap_Int_Nat8" : Int -> Nat8) n;\n\n// Across same width\nfunc int64ToNat64(n : Int64) : Nat64 = (prim "num_wrap_Int64_Nat64" : Int64 -> Nat64) n;\nfunc nat64ToInt64(n : Nat64) : Int64 = (prim "num_wrap_Nat64_Int64" : Nat64 -> Int64) n;\nfunc int32ToNat32(n : Int32) : Nat32 = (prim "num_wrap_Int32_Nat32" : Int32 -> Nat32) n;\nfunc nat32ToInt32(n : Nat32) : Int32 = (prim "num_wrap_Nat32_Int32" : Nat32 -> Int32) n;\nfunc int16ToNat16(n : Int16) : Nat16 = (prim "num_wrap_Int16_Nat16" : Int16 -> Nat16) n;\nfunc nat16ToInt16(n : Nat16) : Int16 = (prim "num_wrap_Nat16_Int16" : Nat16 -> Int16) n;\nfunc int8ToNat8(n : Int8) : Nat8 = (prim "num_wrap_Int8_Nat8" : Int8 -> Nat8) n;\nfunc nat8ToInt8(n : Nat8) : Int8 = (prim "num_wrap_Nat8_Int8" : Nat8 -> Int8) n;\n\n// Between adjacent widths\nfunc nat8ToNat16(n : Nat8) : Nat16 = (prim "num_conv_Nat8_Nat16" : Nat8 -> Nat16) n;\nfunc nat16ToNat32(n : Nat16) : Nat32 = (prim "num_conv_Nat16_Nat32" : Nat16 -> Nat32) n;\nfunc nat32ToNat64(n : Nat32) : Nat64 = (prim "num_conv_Nat32_Nat64" : Nat32 -> Nat64) n;\n\nfunc nat64ToNat32(n : Nat64) : Nat32 = (prim "num_conv_Nat64_Nat32" : Nat64 -> Nat32) n;\nfunc nat32ToNat16(n : Nat32) : Nat16 = (prim "num_conv_Nat32_Nat16" : Nat32 -> Nat16) n;\nfunc nat16ToNat8(n : Nat16) : Nat8 = (prim "num_conv_Nat16_Nat8" : Nat16 -> Nat8) n;\n\nfunc int8ToInt16(n : Int8) : Int16 = (prim "num_conv_Int8_Int16" : Int8 -> Int16) n;\nfunc int16ToInt32(n : Int16) : Int32 = (prim "num_conv_Int16_Int32" : Int16 -> Int32) n;\nfunc int32ToInt64(n : Int32) : Int64 = (prim "num_conv_Int32_Int64" : Int32 -> Int64) n;\n\nfunc int64ToInt32(n : Int64) : Int32 = (prim "num_conv_Int64_Int32" : Int64 -> Int32) n;\nfunc int32ToInt16(n : Int32) : Int16 = (prim "num_conv_Int32_Int16" : Int32 -> Int16) n;\nfunc int16ToInt8(n : Int16) : Int8 = (prim "num_conv_Int16_Int8" : Int16 -> Int8) n;\n\n// Exploding to bytes\nfunc explodeNat16(n : Nat16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Nat16" : Nat16 -> (Nat8, Nat8)) n;\nfunc explodeInt16(n : Int16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Int16" : Int16 -> (Nat8, Nat8)) n;\nfunc explodeNat32(n : Nat32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat32" : Nat32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt32(n : Int32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int32" : Int32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeNat64(n : Nat64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat64" : Nat64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt64(n : Int64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int64" : Int64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\n\n// Char conversion and properties\n\nfunc charToNat32(c : Char) : Nat32 = (prim "num_wrap_Char_Nat32" : Char -> Nat32) c;\nfunc nat32ToChar(w : Nat32) : Char = (prim "num_conv_Nat32_Char" : Nat32 -> Char) w;\n\nfunc charToText(c : Char) : Text = (prim "conv_Char_Text" : Char -> Text) c;\n\nfunc charToUpper(c : Char) : Char = (prim "char_to_upper" : Char -> Char) c;\nfunc charToLower(c : Char) : Char = (prim "char_to_lower" : Char -> Char) c;\nfunc charIsWhitespace(c : Char) : Bool = (prim "char_is_whitespace" : Char -> Bool) c;\nfunc charIsLowercase(c : Char) : Bool = (prim "char_is_lowercase" : Char -> Bool) c;\nfunc charIsUppercase(c : Char) : Bool = (prim "char_is_uppercase" : Char -> Bool) c;\nfunc charIsAlphabetic(c : Char) : Bool = (prim "char_is_alphabetic" : Char -> Bool) c;\n\n// Blob functions\n\nfunc blobCompare(b1 : Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\nfunc hashBlob(b : Blob) : Nat32 { (prim "crc32Hash" : Blob -> Nat32) b };\n\n// Text conversion\nfunc decodeUtf8(b : Blob) : ?Text = (prim "decodeUtf8" : Blob -> ?Text) b;\nfunc encodeUtf8(t : Text) : Blob = (prim "encodeUtf8" : Text -> Blob) t;\n\n// Text comparison\nfunc textCompare(t1 : Text, t2 : Text) : Int8 = (prim "text_compare" : (Text, Text) -> Int8)(t1, t2);\n\n// Text lowercase\nfunc textLowercase(t : Text) : Text = (prim "text_lowercase" : (Text) -> Text)(t);\n// Text uppercase\nfunc textUppercase(t : Text) : Text = (prim "text_uppercase" : (Text) -> Text)(t);\n\n// Exotic bitwise operations\nfunc popcntNat8(w : Nat8) : Nat8 = (prim "popcnt8" : Nat8 -> Nat8) w;\nfunc clzNat8(w : Nat8) : Nat8 = (prim "clz8" : Nat8 -> Nat8) w;\nfunc ctzNat8(w : Nat8) : Nat8 = (prim "ctz8" : Nat8 -> Nat8) w;\nfunc btstNat8(w : Nat8, amount : Nat8) : Bool = (prim "btst8" : (Nat8, Nat8) -> Nat8)(w, amount) != (0 : Nat8);\n\nfunc popcntNat16(w : Nat16) : Nat16 = (prim "popcnt16" : Nat16 -> Nat16) w;\nfunc clzNat16(w : Nat16) : Nat16 = (prim "clz16" : Nat16 -> Nat16) w;\nfunc ctzNat16(w : Nat16) : Nat16 = (prim "ctz16" : Nat16 -> Nat16) w;\nfunc btstNat16(w : Nat16, amount : Nat16) : Bool = (prim "btst16" : (Nat16, Nat16) -> Nat16)(w, amount) != (0 : Nat16);\n\nfunc popcntNat32(w : Nat32) : Nat32 = (prim "popcnt32" : Nat32 -> Nat32) w;\nfunc clzNat32(w : Nat32) : Nat32 = (prim "clz32" : Nat32 -> Nat32) w;\nfunc ctzNat32(w : Nat32) : Nat32 = (prim "ctz32" : Nat32 -> Nat32) w;\nfunc btstNat32(w : Nat32, amount : Nat32) : Bool = (prim "btst32" : (Nat32, Nat32) -> Nat32)(w, amount) != (0 : Nat32);\n\nfunc popcntNat64(w : Nat64) : Nat64 = (prim "popcnt64" : Nat64 -> Nat64) w;\nfunc clzNat64(w : Nat64) : Nat64 = (prim "clz64" : Nat64 -> Nat64) w;\nfunc ctzNat64(w : Nat64) : Nat64 = (prim "ctz64" : Nat64 -> Nat64) w;\nfunc btstNat64(w : Nat64, amount : Nat64) : Bool = (prim "btst64" : (Nat64, Nat64) -> Nat64)(w, amount) != (0 : Nat64);\n\nfunc popcntInt8(w : Int8) : Int8 = (prim "popcntInt8" : Int8 -> Int8) w;\nfunc clzInt8(w : Int8) : Int8 = (prim "clzInt8" : Int8 -> Int8) w;\nfunc ctzInt8(w : Int8) : Int8 = (prim "ctzInt8" : Int8 -> Int8) w;\nfunc btstInt8(w : Int8, amount : Int8) : Bool = (prim "btstInt8" : (Int8, Int8) -> Int8)(w, amount) != (0 : Int8);\n\nfunc popcntInt16(w : Int16) : Int16 = (prim "popcntInt16" : Int16 -> Int16) w;\nfunc clzInt16(w : Int16) : Int16 = (prim "clzInt16" : Int16 -> Int16) w;\nfunc ctzInt16(w : Int16) : Int16 = (prim "ctzInt16" : Int16 -> Int16) w;\nfunc btstInt16(w : Int16, amount : Int16) : Bool = (prim "btstInt16" : (Int16, Int16) -> Int16)(w, amount) != (0 : Int16);\n\nfunc popcntInt32(w : Int32) : Int32 = (prim "popcntInt32" : Int32 -> Int32) w;\nfunc clzInt32(w : Int32) : Int32 = (prim "clzInt32" : Int32 -> Int32) w;\nfunc ctzInt32(w : Int32) : Int32 = (prim "ctzInt32" : Int32 -> Int32) w;\nfunc btstInt32(w : Int32, amount : Int32) : Bool = (prim "btstInt32" : (Int32, Int32) -> Int32)(w, amount) != (0 : Int32);\n\nfunc popcntInt64(w : Int64) : Int64 = (prim "popcntInt64" : Int64 -> Int64) w;\nfunc clzInt64(w : Int64) : Int64 = (prim "clzInt64" : Int64 -> Int64) w;\nfunc ctzInt64(w : Int64) : Int64 = (prim "ctzInt64" : Int64 -> Int64) w;\nfunc btstInt64(w : Int64, amount : Int64) : Bool = (prim "btstInt64" : (Int64, Int64) -> Int64)(w, amount) != (0 : Int64);\n\n// Float32 conversions\n\nfunc floatToFloat32(f : Float) : Float32 = (prim "num_conv_Float_Float32" : Float -> Float32) f;\nfunc float32ToFloat(f : Float32) : Float = (prim "num_conv_Float32_Float" : Float32 -> Float) f;\n\n// Checked Float -> Float32 conversion: returns ?Float32 if round-trip stays within epsilon, null otherwise\nfunc safeFloatToFloat32(f : Float, epsilon : Float) : ?Float32 {\n let f32 = floatToFloat32 f;\n if (floatAbs(float32ToFloat f32 - f) <= epsilon) ?f32 else null\n};\n\n// Float operations\n\nfunc floatAbs(f : Float) : Float = (prim "fabs" : Float -> Float) f;\nfunc floatSqrt(f : Float) : Float = (prim "fsqrt" : Float -> Float) f;\nfunc floatCeil(f : Float) : Float = (prim "fceil" : Float -> Float) f;\nfunc floatFloor(f : Float) : Float = (prim "ffloor" : Float -> Float) f;\nfunc floatTrunc(f : Float) : Float = (prim "ftrunc" : Float -> Float) f;\nfunc floatNearest(f : Float) : Float = (prim "fnearest" : Float -> Float) f;\nfunc floatMin(f : Float, g : Float) : Float = (prim "fmin" : (Float, Float) -> Float)(f, g);\nfunc floatMax(f : Float, g : Float) : Float = (prim "fmax" : (Float, Float) -> Float)(f, g);\nfunc floatCopySign(f : Float, g : Float) : Float = (prim "fcopysign" : (Float, Float) -> Float)(f, g);\nfunc floatToInt(f : Float) : Int = (prim "num_conv_Float_Int" : Float -> Int)(f);\nfunc intToFloat(n : Int) : Float = (prim "num_conv_Int_Float" : Int -> Float)(n);\nfunc floatToInt64(f : Float) : Int64 = (prim "num_conv_Float_Int64" : Float -> Int64)(f);\nfunc int64ToFloat(n : Int64) : Float = (prim "num_conv_Int64_Float" : Int64 -> Float)(n);\n\nlet floatToText = @text_of_Float;\n\n// Configurable Float formatter\n// mode:\n// 0) fixed format "%.*f"\n// 1) exponent format "%.*e"\n// 2) generic format "%.*g"\n// 3) hexadecimal format "%.*h"\n// _) invalid (traps)\nfunc floatToFormattedText(f : Float, prec : Nat8, mode : Nat8) : Text = (prim "fmtFloat->Text" : (Float, Nat8, Nat8) -> Text)(f, prec, mode);\n\n// Trigonometric and transcendental functions\n\nfunc sin(f : Float) : Float = (prim "fsin" : Float -> Float) f;\nfunc cos(f : Float) : Float = (prim "fcos" : Float -> Float) f;\nfunc tan(f : Float) : Float = (prim "ftan" : Float -> Float) f;\nfunc arcsin(f : Float) : Float = (prim "fasin" : Float -> Float) f;\nfunc arccos(f : Float) : Float = (prim "facos" : Float -> Float) f;\nfunc arctan(f : Float) : Float = (prim "fatan" : Float -> Float) f;\nfunc arctan2(y : Float, x : Float) : Float = (prim "fatan2" : (Float, Float) -> Float)(y, x);\n\nfunc exp(f : Float) : Float = (prim "fexp" : Float -> Float) f;\nfunc log(f : Float) : Float = (prim "flog" : Float -> Float) f;\n\n// Array utilities\n\nfunc Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n};\n\nfunc Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n};\n\nfunc Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n};\n\nfunc blobToArray(b : Blob) : [Nat8] = (prim "blobToArray" : (Blob) -> [Nat8]) b;\nfunc blobToArrayMut(b : Blob) : [var Nat8] = (prim "blobToArrayMut" : (Blob) -> [var Nat8]) b;\nfunc arrayToBlob(a : [Nat8]) : Blob = (prim "arrayToBlob" : [Nat8] -> Blob) a;\nfunc arrayMutToBlob(a : [var Nat8]) : Blob = (prim "arrayMutToBlob" : [var Nat8] -> Blob) a;\n\n// Error codes\ntype ErrorCode = {\n #system_fatal;\n #system_transient;\n #destination_invalid;\n #canister_reject;\n #canister_error;\n #system_unknown;\n #future : Nat32;\n #call_error : { err_code : Nat32 };\n};\n\n// creation and inspection of abstract error\nfunc error(message : Text) : Error {\n let e = (#canister_reject, message);\n (prim "cast" : (ErrorCode, Text) -> Error) e;\n};\nfunc errorCode(e : Error) : ErrorCode = ((prim "cast" : Error -> (ErrorCode, Text)) e).0;\nfunc errorMessage(e : Error) : Text = ((prim "cast" : Error -> (ErrorCode, Text)) e).1;\n\n// Message deadline (best-effort messaging)\n\nfunc replyDeadline() : Nat64 = (prim "deadline" : () -> Nat64)();\n\n// Time\n\nfunc time() : Nat64 = (prim "time" : () -> Nat64)();\n\n// Principal\n\nfunc blobOfPrincipal(id : Principal) : Blob = (prim "blobOfPrincipal" : Principal -> Blob) id;\nfunc principalOfBlob(act : Blob) : Principal {\n // TODO: better: check size in prim "principalOfBlob" instead\n if (act.size() > 29) {\n trap("blob too long for principal");\n };\n (prim "principalOfBlob" : Blob -> Principal) act;\n};\n\nfunc principalOfActor(act : actor {}) : Principal = (prim "principalOfActor" : (actor {}) -> Principal) act;\nfunc actorOfPrincipal(p : Principal) : A = (prim "actorOfPrincipal" : Principal -> A) p;\nfunc isController(p : Principal) : Bool = (prim "is_controller" : Principal -> Bool) p;\nfunc isReplicatedExecution() : Bool = (prim "replicated_execution" : () -> Bool)();\nfunc canisterVersion() : Nat64 = (prim "canister_version" : () -> Nat64)();\nfunc canisterSubnet() : Principal = (prim "canister_subnet" : () -> Principal)();\nfunc rootKey() : Blob = (prim "root_key" : () -> Blob)();\nfunc getSelfPrincipal() : Principal = (prim "canister_self" : () -> Principal)();\n\n// Untyped dynamic actor creation from blobs\nlet createActor : (wasm : Blob, argument : Blob) -> async Principal = @create_actor_helper;\n\nfunc cyclesBalance() : Nat = (prim "cyclesBalance" : () -> Nat)();\nfunc cyclesAvailable() : Nat = (prim "cyclesAvailable" : () -> Nat)();\nfunc cyclesRefunded() : Nat = @refund;\nfunc cyclesAccept(amount : Nat) : Nat = (prim "cyclesAccept" : Nat -> Nat) amount;\n\nfunc cyclesAdd(amount : Nat) : () {\n if (amount == 0) return;\n @cycles += amount;\n // trap if @cycles would exceed 2^128\n if (@cycles > 0xFFFFFFFF_FFFFFFFF_FFFFFFFF_FFFFFFFF) {\n trap("cannot add more than 2^128 cycles");\n };\n};\n\nfunc cyclesBurn(amount : Nat) : Nat = (prim "cyclesBurn" : Nat -> Nat) amount;\n\nfunc costCall(methodNameSize : Nat64, payloadSize : Nat64) : Nat = (prim "costCall" : (Nat64, Nat64) -> Nat)(methodNameSize, payloadSize);\n\nfunc costCreateCanister() : Nat = (prim "costCreateCanister" : () -> Nat)();\n\nfunc costHttpRequest(requestSize : Nat64, maxResBytes : Nat64) : Nat = (prim "costHttpRequest" : (Nat64, Nat64) -> Nat)(requestSize, maxResBytes);\n\nfunc costSignWithEcdsa(keyName : Text, curveEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithEcdsa" : (Text, Nat32) -> (Nat32, Nat))(keyName, curveEncoding);\n\nfunc costSignWithSchnorr(keyName : Text, algorithmEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithSchnorr" : (Text, Nat32) -> (Nat32, Nat))(keyName, algorithmEncoding);\n\n// certified data\nfunc setCertifiedData(data : Blob) = (prim "setCertifiedData" : Blob -> ()) data;\nfunc getCertificate() : ?Blob = (prim "getCertificate" : () -> ?Blob)();\n\n// stable memory\n\n/// @deprecated M0199\nfunc stableMemorySize() : Nat64 = (prim "stableMemorySize" : () -> Nat64)();\n\n/// @deprecated M0199\nfunc stableMemoryGrow(pages : Nat64) : Nat64 = (prim "stableMemoryGrow" : Nat64 -> Nat64) pages;\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat32(offset : Nat64) : Nat32 = (prim "stableMemoryLoadNat32" : Nat64 -> Nat32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat32(offset : Nat64, val : Nat32) : () = (prim "stableMemoryStoreNat32" : (Nat64, Nat32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat8(offset : Nat64) : Nat8 = (prim "stableMemoryLoadNat8" : Nat64 -> Nat8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat8(offset : Nat64, val : Nat8) : () = (prim "stableMemoryStoreNat8" : (Nat64, Nat8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat16(offset : Nat64) : Nat16 = (prim "stableMemoryLoadNat16" : Nat64 -> Nat16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat16(offset : Nat64, val : Nat16) : () = (prim "stableMemoryStoreNat16" : (Nat64, Nat16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat64(offset : Nat64) : Nat64 = (prim "stableMemoryLoadNat64" : Nat64 -> Nat64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat64(offset : Nat64, val : Nat64) : () = (prim "stableMemoryStoreNat64" : (Nat64, Nat64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt32(offset : Nat64) : Int32 = (prim "stableMemoryLoadInt32" : Nat64 -> Int32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt32(offset : Nat64, val : Int32) : () = (prim "stableMemoryStoreInt32" : (Nat64, Int32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt8(offset : Nat64) : Int8 = (prim "stableMemoryLoadInt8" : Nat64 -> Int8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt8(offset : Nat64, val : Int8) : () = (prim "stableMemoryStoreInt8" : (Nat64, Int8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt16(offset : Nat64) : Int16 = (prim "stableMemoryLoadInt16" : Nat64 -> Int16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt16(offset : Nat64, val : Int16) : () = (prim "stableMemoryStoreInt16" : (Nat64, Int16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt64(offset : Nat64) : Int64 = (prim "stableMemoryLoadInt64" : Nat64 -> Int64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt64(offset : Nat64, val : Int64) : () = (prim "stableMemoryStoreInt64" : (Nat64, Int64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadFloat(offset : Nat64) : Float = (prim "stableMemoryLoadFloat" : Nat64 -> Float) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreFloat(offset : Nat64, val : Float) : () = (prim "stableMemoryStoreFloat" : (Nat64, Float) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadBlob(offset : Nat64, size : Nat) : Blob = (prim "stableMemoryLoadBlob" : (Nat64, Nat) -> Blob)(offset, size);\n\n/// @deprecated M0199\nfunc stableMemoryStoreBlob(offset : Nat64, val : Blob) : () = (prim "stableMemoryStoreBlob" : (Nat64, Blob) -> ())(offset, val);\n\n// Returns a query that computes the current actor\'s stable variable statistics (for now, the current size, in bytes, of serialized stable variable data).\nfunc stableVarQuery() : shared query () -> async { size : Nat64 } = (prim "stableVarQuery" : () -> (shared query () -> async { size : Nat64 }))();\n\n// stable regions\n\nfunc regionNew() : Region = (prim "regionNew" : () -> Region)();\n\nfunc regionId(r : Region) : Nat = (prim "regionId" : Region -> Nat) r;\n\nfunc regionSize(r : Region) : Nat64 = (prim "regionSize" : Region -> Nat64) r;\n\nfunc regionGrow(r : Region, pages : Nat64) : Nat64 = (prim "regionGrow" : (Region, Nat64) -> Nat64)(r, pages);\n\nfunc regionLoadNat32(r : Region, offset : Nat64) : Nat32 = (prim "regionLoadNat32" : (Region, Nat64) -> Nat32)(r, offset);\n\nfunc regionStoreNat32(r : Region, offset : Nat64, val : Nat32) : () = (prim "regionStoreNat32" : (Region, Nat64, Nat32) -> ())(r, offset, val);\n\nfunc regionLoadNat8(r : Region, offset : Nat64) : Nat8 = (prim "regionLoadNat8" : (Region, Nat64) -> Nat8)(r, offset);\n\nfunc regionStoreNat8(r : Region, offset : Nat64, val : Nat8) : () = (prim "regionStoreNat8" : (Region, Nat64, Nat8) -> ())(r, offset, val);\n\nfunc regionLoadNat16(r : Region, offset : Nat64) : Nat16 = (prim "regionLoadNat16" : (Region, Nat64) -> Nat16)(r, offset);\n\nfunc regionStoreNat16(r : Region, offset : Nat64, val : Nat16) : () = (prim "regionStoreNat16" : (Region, Nat64, Nat16) -> ())(r, offset, val);\n\nfunc regionLoadNat64(r : Region, offset : Nat64) : Nat64 = (prim "regionLoadNat64" : (Region, Nat64) -> Nat64)(r, offset);\n\nfunc regionStoreNat64(r : Region, offset : Nat64, val : Nat64) : () = (prim "regionStoreNat64" : (Region, Nat64, Nat64) -> ())(r, offset, val);\n\nfunc regionLoadInt32(r : Region, offset : Nat64) : Int32 = (prim "regionLoadInt32" : (Region, Nat64) -> Int32)(r, offset);\n\nfunc regionStoreInt32(r : Region, offset : Nat64, val : Int32) : () = (prim "regionStoreInt32" : (Region, Nat64, Int32) -> ())(r, offset, val);\n\nfunc regionLoadInt8(r : Region, offset : Nat64) : Int8 = (prim "regionLoadInt8" : (Region, Nat64) -> Int8)(r, offset);\n\nfunc regionStoreInt8(r : Region, offset : Nat64, val : Int8) : () = (prim "regionStoreInt8" : (Region, Nat64, Int8) -> ())(r, offset, val);\n\nfunc regionLoadInt16(r : Region, offset : Nat64) : Int16 = (prim "regionLoadInt16" : (Region, Nat64) -> Int16)(r, offset);\n\nfunc regionStoreInt16(r : Region, offset : Nat64, val : Int16) : () = (prim "regionStoreInt16" : (Region, Nat64, Int16) -> ())(r, offset, val);\n\nfunc regionLoadInt64(r : Region, offset : Nat64) : Int64 = (prim "regionLoadInt64" : (Region, Nat64) -> Int64)(r, offset);\n\nfunc regionStoreInt64(r : Region, offset : Nat64, val : Int64) : () = (prim "regionStoreInt64" : (Region, Nat64, Int64) -> ())(r, offset, val);\n\nfunc regionLoadFloat(r : Region, offset : Nat64) : Float = (prim "regionLoadFloat" : (Region, Nat64) -> Float)(r, offset);\n\nfunc regionStoreFloat(r : Region, offset : Nat64, val : Float) : () = (prim "regionStoreFloat" : (Region, Nat64, Float) -> ())(r, offset, val);\n\nfunc regionLoadBlob(r : Region, offset : Nat64, size : Nat) : Blob = (prim "regionLoadBlob" : (Region, Nat64, Nat) -> Blob)(r, offset, size);\n\nfunc regionStoreBlob(r : Region, offset : Nat64, val : Blob) : () = (prim "regionStoreBlob" : (Region, Nat64, Blob) -> ())(r, offset, val);\n\nlet call_raw = @call_raw;\n\nfunc performanceCounter(counter : Nat32) : Nat64 = (prim "performanceCounter" : (Nat32) -> Nat64) counter;\n\n// Candid configuration\nfunc setCandidLimits({\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidLimits" : (Nat32, Nat32, Nat32) -> ())(numerator, denominator, bias);\n};\n\nfunc getCandidLimits() : {\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n} {\n let (numerator, denominator, bias) = (prim "getCandidLimits" : () -> (Nat32, Nat32, Nat32))();\n {\n numerator;\n denominator;\n bias;\n };\n};\n\nfunc setCandidTypeLimits({\n scalar : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidTypeLimits" : (Nat32, Nat32) -> ())(scalar, bias);\n};\n\nfunc getCandidTypeLimits() : {\n scalar : Nat32;\n bias : Nat32;\n} {\n let (scalar, bias) = (prim "getCandidTypeLimits" : () -> (Nat32, Nat32))();\n {\n scalar;\n bias;\n };\n};\n\n// predicates for motoko-san\n\nfunc forall(f : T -> Bool) : Bool {\n (prim "forall" : (T 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%S)"],mC=W,kC=ho,yC=ho,xC=W,wC=[0,[8,[0,0,6],0,0,0],"%h"],_C=jc,gC=ho,NC=Fr,IC=ho,MC=Fr,TC=Pk(1,0,0),AC=Pk(Gn,Gn,bv),BC=Pk(0,0,65520),WC=[0,[8,[0,0,3],0,1,0],bu],UC=Pk(0,0,16),RC=Pk(Gn,Gn,15),QC=[0,[8,[0,0,3],0,1,0],bu],CC=[0,[7,6,0,0,0],ob],FC=[0,"exec/fxx.ml",67,10],LC=[0,[8,[0,0,3],0,[0,17],0],Xi],DC=[0,[5,6,0,0,0],ko],SC=Pk(0,0,32760),EC=Pk(0,0,65528),PC=Pk(0,0,32752),jC=[0,[7,6,0,0,0],ob],YC=Fr,HC=Fr,qC=Fr,zC=[0,_v,kn,4],XC=Pk(16384,0,0),OC=[0,_v,298,4],$C=[0,_v,294,4],GC=[0,[5,6,0,0,0],ko],VC=[0,[5,6,0,0,0],ko],JC=[0,[7,6,0,0,0],ob],ZC=[0,[5,6,0,0,0],ko],KC=ho,rF=ho,eF=Vu,nF=fs,tF=Ul,aF=Ul,uF=fs,iF=[0,[15,[17,2,0]],"%a@?"],cF=Ou,fF=nf,oF=[0,1],sF=[0,"Sexplib.Conv.Of_sexp_error"],lF=[0,$,410,15],vF=[0,0],bF=Ks,pF=[0,$,id,15],dF=[0,"Exit"],hF=[0,$,m,15],mF=[0,db],kF=[0,$,ua,15],yF=[0,B],xF=[0,$,or,15],wF=[0,_i],_F=[0,$,Md,15],gF=[0,zd],NF=[0,$,ei,15],IF=G,MF=[0,$,358,15],TF=[0,"Not_found_s"],AF=[0,$,d,15],BF=[0,ip],WF=[0,$,Nb,15],UF=[0,"Arg.Help"],RF=[0,$,370,15],QF=[0,"Arg.Bad"],CF=[0,$,Io,15],FF=[0,"Lazy.Undefined"],LF=[0,$,378,15],DF=[0,"Parsing.Parse_error"],SF=[0,$,382,15],EF=[0,"Queue.Empty"],PF=[0,$,Jr,15],jF=[0,"Scanf.Scan_failure"],YF=[0,$,Gi,15],HF=[0,"Stack.Empty"],qF=[0,$,Pu,15],zF=[0,"Sys.Break"],XF=[0,$,ga,15],OF=[0,[2,0,[12,32,[2,0,[12,58,[4,0,0,0,[12,58,[4,0,0,0,0]]]]]]],"%s %s:%d:%d"],$F=[0,2],GF=[1,0],VF=Vu,JF=[0,[2,0,[11,"_of_sexp: polymorphic variant tag ",[3,0,[11,Js,0]]]],"%s_of_sexp: polymorphic variant tag %S has incorrect number of arguments"],ZF=[0,[2,0,[11,"_of_sexp: the following record elements were undefined: ",[2,0,0]]],"%s_of_sexp: the following record elements were undefined: %s"],KF=Vu,rL=[0,[2,0,[11,"_of_sexp: ",[2,0,[11,wo,[2,0,0]]]]],"%s_of_sexp: %s: %s"],eL=[0,[2,0,[11,"_of_sexp: sum tag ",[3,0,[11,Js,0]]]],"%s_of_sexp: sum tag %S has incorrect number of arguments"],nL=[0,[2,0,[11,"_of_sexp: tuple of size ",[4,0,0,0,[11," expected",0]]]],"%s_of_sexp: tuple of size %d expected"],tL=[1,0],aL=[3,0],uL=[0,ho],iL=[0,[11,Bd,[2,0,[11," has been located with a name of different case",0]]],"file %s has been located with a name of different case"],cL=[0,[11,Bd,[2,0,[11," has been located with a different name",0]]],"file %s has been located with a different name"],fL=Oc,oL=ho,sL=tt,lL=ho,vL=tt,bL=Ph,pL=tt,dL=tt,hL=ho,mL=[0,0,0,0],kL=Ou,yL=Qo,xL=ge,wL=[0,[11,"\\u{",[4,6,[0,2,2],0,[12,ha,0]]],"\\u{%02x}"],_L=Qo,gL=Ou,NL=vh,IL=[0,0,0],ML=[0,0,0],TL=[0,rt,Wp,13],AL=[0,rt,Vv,11],BL=[0,[5,12,0,0,0],"%lu"],WL=[0,[18,[1,[0,[11,ep,0],ep]],[15,[17,0,0]]],"@[%a@]"],UL=[0,[17,3,[18,[1,[0,[11,ep,0],ep]],[11,Zi,[15,[17,0,0]]]]],"@\n@[ %a@]"],RL=[0,[18,[1,[0,0,ho]],[15,[17,0,0]]],"@[%a@]"],QL=ho,CL=[0,[8,[0,0,3],0,[0,16],0],"%.16g"],FL=[0,[8,[0,0,3],0,[0,17],0],Xi],LL=Op,DL=E,SL=Bb,EL=Qo,PL=Ou,jL=vh,YL=ge,HL=[0,[11,"src=",[3,0,[11," start=",[4,3,0,0,[11," len=",[4,3,0,0,[12,10,[10,0]]]]]]]],"src=%S start=%i len=%i\n%!"],qL=Tf,zL=nb,XL=[0,zp,674,60],OL=[0,zp,665,55],$L=tf,GL=ho,VL=[0,"end_pos"],JL=[0,"start_pos"],ZL=[0,t],KL=[0,"col"],rD=[0,"line"],eD=[0,vd,46,2],nD=[0,vd,57,2],tD=[0,"parse_error.ml.Parse_error"],aD=[0,"src/parse_error.ml",40,11],uD=[0,cc],iD=[0,"position"],cD=[0,"of_sexp_error.ml.Of_sexp_error"],fD=[0,"src/of_sexp_error.ml",65,11],oD=[0,"location"],sD=[0,"sub_sexp"],lD=[0,"user_exn"],vD=[0,ls,874,13],bD=[0,"buf_pos"],pD=[0,"global_offset"],dD=[0,"text_char"],hD=[0,"text_line"],mD=[0,"err_msg"],kD=[0,"Sexplib.Sexp.Parse_error"],yD=[0,ls,Zb,11],xD=[0,ls,Bl,6],wD=[0,ls,_h,13],_D=[0,"containing_sexp"],gD=[0,"invalid_sexp"],ND=[0,[0,"Of_sexp_error"],0],ID=ho,MD=ho,TD=ho,AD=[0,[2,0,[11,wo,[2,0,0]]],"%s: %s"],BD=[0,[18,[1,[0,[11,Of,0],Of]],[11,"expected sexp atom, recieved list: ",[18,[1,[0,0,ho]],[15,[17,0,[17,0,0]]]]]],"@[<2>expected sexp atom, recieved list: @[%a@]@]"],WD=[0,[11,yl,0],yl],UD=bn,RD=Ic,QD=Cm,CD=Cf,FD=Ic,LD=Sp,DD=[0,Rn,45,4],SD=[0,Rn,39,4],ED=[0,Rn,31,4],PD=[0,"lib/core/range.ml",67,2],jD=[0,[11,"range start ",[15,[11," is greater than range stop ",[15,0]]]],"range start %a is greater than range stop %a"],YD=[0,[11,"range beyond end of source; stop = ",[15,[11," > ",[4,0,0,0,[11," = eos",0]]]]],"range beyond end of source; stop = %a > %d = eos"],HD=Do,qD=Pd,zD=nr,XD=gc,OD=tb,$D=[0,[11,Nd,0],Nd],GD=[0,[15,[11," > ",[15,[11,": line index exceeds the last line index",0]]]],"%a > %a: line index exceeds the last line index"],VD=[0,[11,yp,0],yp],JD=[0,Pk(0,0,0)],ZD=[0,0,0],KD=[0,[11,"could not open file ",[2,0,0]],"could not open file %s"],rS=[0,[11,"could not read the file ",[2,0,0]],"could not read the file %s"],eS=[0,"src/uutf.ml",Il,9],nS=[0,[11,"invalid bounds (index ",[4,0,0,0,[11,", length ",[4,0,0,0,[12,41,0]]]]],"invalid bounds (index %d, length %d)"],tS=[0,[17,4,0],pn],aS=[0,[12,32,0],Vu],uS=[0,[0,Pv,Zs],0],iS=[0,[0,Pv,Zs],0],cS=[0,[0,Pv,Zs],0],fS=[0,[0,Pv,Zs],0],oS=[0,Yt,0],sS=[0,"┌─",Wn,"·",hn,Zt,jc,Zt,Zt,Mr,Mr,"╭","─","╰","─",Wn,Wn],lS=[0,ir,Yi,14],vS=[0,ir,Rd,15],bS=ho,pS=[0,ir,cn,4],dS=[0,1],hS=[0,0],mS=[0,ir,217,8],kS=[0,ir,uc,8],yS=[0,ir,qf,12],xS=[0,'File "lib/ansi_renderer/snippet.ml", line 149, characters 24-31'],wS=hl,_S=Kb,gS=wu,NS=cc,IS=hh,MS=kb,TS=Fs,AS=ed,BS=Yb,WS=ot,US=ol,RS=Wd,QS=q,CS=mm,FS=Cf,LS=bn,DS=po,SS=ii,ES=ii,PS=ot,jS=Sp,YS=Ui,HS=ii,qS=vi,zS=Sp,XS=[0,ir,49,4],OS=[0,ir,19,18],$S=[0,Ht],GS=[0,0,0],VS=[0,[18,[1,[0,[11,"",0],""]],0],"@["],JS=[0,[17,0,0],"@]"],ZS=[0,[18,[1,[0,[11,Zf,0],Zf]],[15,[11,wo,[15,[17,0,0]]]]],"@[%a: %a@]"],KS=ho,rE=[0,[2,[1,1],[12,32,[15,[12,32,0]]]],"%*s %a "],eE=[0,[18,[1,[0,[11,Zf,0],Zf]],[15,[15,[11,wo,[15,[17,0,0]]]]]],"@[%a%a: %a@]"],nE=[0,[12,93,0],"]"],tE=[0,[12,91,0],"["],aE=[0,[17,4,0],pn],uE=ho,iE=[0,[18,[1,[0,[11,Zf,0],Zf]],[2,[1,1],[12,32,[15,[12,32,[15,[17,0,0]]]]]]],Qb],cE=[0,[18,[1,[0,[11,Zf,0],Zf]],[2,0,[12,58,[15,[12,58,[15,[17,0,0]]]]]]],"@[%s:%a:%a@]"],fE=[0,0,0],oE=ho,sE=[0,[18,[1,[0,[11,Zf,0],Zf]],[2,[1,1],[12,32,[15,[12,32,[15,[17,0,0]]]]]]],Qb],lE=[0,[17,4,[15,0]],"@.%a"],vE=[0,Hu,Pe,8],bE=[0,Hu,Bv,8],pE=[0,[2,0,0],J],dE=[0,[15,0],c],hE=ho,mE=[0,Hu,Qt,6],kE=[0,[12,32,[15,0]]," %a"],yE=[0,Hu,305,14],xE=[0,[15,[15,[12,32,0]]],"%a%a "],wE=[0,ws,vc],_E=ho,gE=[0,[2,[1,1],[12,32,[15,[12,32,[15,0]]]]],"%*s %a %a"],NE=[0,[18,[1,[0,[11,Zf,0],Zf]],[2,0,[2,0,[17,0,0]]]],Jo],IE=ho,ME=[0,[18,[1,[0,[11,Zf,0],Zf]],[2,[1,1],[2,0,[17,0,0]]]],"@[%*s%s@]"],TE=[0,[15,0],c],AE=[0,[18,[1,[0,[11,Zf,0],Zf]],[2,0,[2,0,[17,0,0]]]],Jo],BE=[0,[15,0],c],WE=[0,ho,0],UE=ho,RE=[0,[18,[1,[0,[11,Zf,0],Zf]],[2,[1,1],[12,32,[15,[12,32,[15,[17,0,0]]]]]]],Qb],QE=[0,[18,[1,[0,[11,Zf,0],Zf]],[15,[12,32,[15,[12,32,[15,[15,[17,0,0]]]]]]]],"@[%a %a %a%a@]"],CE=[0,[4,0,[1,1],0,0],"%*d"],FE=[0,'File "lib/ansi_renderer/snippet_renderer.ml", line 129, characters 39-46'],LE=[0,Hu,es,4],DE=[0,'File "lib/ansi_renderer/snippet_renderer.ml", line 116, characters 26-33'],SE=Va,EE=ho,PE=[0,[11,ci,[4,6,0,0,0]],"0x%x"],jE=[0,ho],YE=Vu,HE=Va,qE=[0,"lang_utils/trivia.ml",9,26],zE=Cx([[0,cu,0,"Case mismatch between import and filename"],[0,Mv,0,"Comparing abstract type to itself at supertype"],[0,i,0,"Comparing incompatible type at common supertype"],[0,mo,0,"Array elements have inconsistent types"],[0,Jv,0,"If branches have inconsistent types"],[0,Kc,0,"Redundant ignore"],[0,Uc,0,"Switch with inconsistent branch types"],[0,Um,0,"Function with system function name but wrong visibility"],[0,Sl,0,"Actor class has non-async return type"],[0,Jt,0,"An imported library should be a module or named actor class"],[0,kf,0,"Pattern does not cover value"],[0,Ba,0,"Pattern is never matched"],[0,C,[0,"# M0154\n\nYou are using a field (typically a module field) that has a deprecation annotation\nattached to its definition, e.g.\n\n```motoko\nmodule SomeModule {\n\n /// @deprecated The foo function is deprecated and will be removed next release\n public func foo() {}\n\n}\n```\n\nThe warning should include an explanation provided by the author of that code.\n"],"Deprecation annotation"],[0,lh,[0,"# M0155\n\nThis warning indicates that the type of a subtraction operation had to be deduced from its operands and was inferred to be `Nat`.\nThat implies that it traps when the result is negative, which may be unintentional.\n\nOffending code examples:\n\n```motoko\nfunc f(n : Nat) {\n if (n < 10) { return };\n let m = 2 * (n - 1);\n};\n\nfunc g(n : Nat) {\n if (n - 1 < 10) { return };\n};\n```\n\nIf the subtraction was indeed intended to have a `Nat` result, you can let the compiler know by annotating the intended type explicitly:\n\n```motoko\nfunc f(n : Nat) {\n let m : Nat = 2 * (n - 1);\n};\n```\n\nIf the intended type was `Int`, however, you can either annotate it as such:\n\n```\nfunc f(n : Nat) {\n let m : Int = 2 * (n - 1);\n};\n```\n\nOr you can insert a sign operator `+`, which also forces the expression to be of type `Int`:\n\n```\nfunc f(n : Nat) {\n let m = 2 * (+n - 1);\n};\n```\n\nThis latter possibility is particularly convenient in the case of comparisons, because it is always okay to perform them at type `Int`:\n\n```\nfunc g(n : Nat) {\n if (+n - 1 < 10) { return };\n};\n```\n"],"Inferred type Nat for subtraction"],[0,No,0,"Type intersection results in abstract type"],[0,vt,0,"Type union results in bottom type"],[0,rl,0,"Types inconsistent for alternative pattern variables, losing information"],[0,"M0191",0,"Code requires Wasm features ... to execute"],[0,st,[0,'# M0194\n\nThis warning means that you defined an identifier without\nreferencing it later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nlet nickname = "klutz";\n// code that never uses `nickname`\n```\n\nIf you encounter this warning, you can either delete the definition (if the code has no other side-effect),\n\n```motoko\n// code that never uses `nickname`\n```\n\nreplace it by a wildcard pattern:\n\n```motoko\nlet _ = "klutz";\n// code that never uses `nickname`\n```\n\nor just prefix the identifier with an underscore:\n\n```motoko\nlet _nickname = "klutz";\n// code that never uses `nickname`\n```\n'],"Unused identifier warning"],[0,Je,[0,"# M0195\n\nThis warning means that you called a function that demands elevated (`system`) capabilities,\nwithout manifestly passing the capability.\n\n"],"warn that `system` capability is implicitly supplied"],[0,Ad,[0,'# M0198\n\nThis warning means that you specified a field identifier in an object pattern without referencing this identifier later, a good indicator of dead code.\n\nDubious code example:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName } = person;\nDebug.print(firstName);\n\n// secondName is not used\n```\n\nIf you encounter this warning and the identifier is indeed not needed, \nyou can either remove the field identifier from the object pattern,\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName } = person;\nDebug.print(firstName);\n```\n\nbind the field to a wildcard pattern:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _ } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n\nor bind the field to an identifier with an underscore prefix:\n\n```motoko\nimport Debug "mo:core/Debug";\n\nlet person = { firstName = "Anna"; secondName = "Smith" };\n\nlet { firstName; secondName = _secondName } = person;\nDebug.print(firstName);\n\n// secondName is not needed\n```\n'],"Unused field pattern warning"],[0,ao,[0,"# M0199\n\nThis error or warning means that your code is either directly or indirectly using the now deprecated library `ExperimentalStableMemory.mo` (or its supporting compiler primitives).\n\nThe library works as advertised but is a potential hazard as the resource it provides access to is shared between all clients of the library.\nThis means that a library may unintentionally or maliciously read or modify data maintained by your application, or by another library imported by your application.\n\nIf possible, please upgrade your code to use library `Region.mo` instead.\nThis improved library offers a similar abstraction, but instead of a single memory that is implicitly accessible to all callers, it provides multiple memories.\nThese memories, called regions, are isolated from each other and inaccessible unless a region is explicitly shared between libraries.\n\nThe `moc` compiler flag `--experimental-stable-memory ` flag controls the production of this error or warning message, allowing your code to compile as before:\n* n < 0: error on use of stable memory primitives.\n* n = 0: warn on use of stable memory primitives (the default).\n* n > 1: warning-less use of stable memory primitives (for legacy applications).\n\nI.e. if your application cannot easily be upgraded to use `Regions.mo` and still requires access to `ExperimentalStableMemory.mo`, you can opt-in to legacy support for `ExperimentalStableMemory.mo` using the `moc` compiler flag `--experimental-stable-memory 1`.\n"],"Deprecate experimental stable memory"],[0,_u,0,"Migration consumes, but does not produce, a declared field"],[0,ym,0,"Migration consumes, but does not produce, an un-declared field"],[0,gn,0,"Parenthetical note must be applied to a message send"],[0,Re,0,"Parenthetical note has no attributes"],[0,Ca,[0,"# M0212\n\nThis warning means that you are affixing a parenthetical note to a message send (i.e. either\na canister method call of a self-send with `async`, or `actor`) that contains an attribute not recognised\nby this version of the Motoko compiler.\n\nCurrently, only these attributes are recognized in parenthetical notes:\n\nFor _message_ sends and `async` expressions\n- `cycles : Nat`\n- `timeout : Nat32`\n\nFor `actor` and `actor class` declarations:\n- `migration : {} -> {}`\n"],"Unrecognised attribute in parenthetical note"],[0,oi,0,"Field is lost in record used at supertype"],[0,pd,0,"Redundant `persistent`"],[0,Bt,0,"Redundant `stable`"],[0,Ke,0,"Ignored `async*`"],[0,Ud,0,"Redundant type instantiation"],[0,vm,0,"Deprecate for caffeine"],[0,Jf,0,"Suggest contextual dot notation"],[0,Lu,0,"Suggest redundant explicit arguments"],[0,cp,0,"Avoid binding a unit `()` result"],[0,fa,0,"Unused identifier in shared pattern warning"],[0,no,0,"Unused field in shared pattern warning"],[0,rr,0,"Implicit oneway declaration"],[0,Cr,0,"Unreachable else in let-else"],[0,oo,0,"Mutable variable is never reassigned"],[0,Vd,0,"Initial actor requires field"]]),XE=[0,[11,"moc: invalid warning code: ",[2,0,[11,". Run 'moc --warn-help' to see available warning codes.",0]]],"moc: invalid warning code: %s. Run 'moc --warn-help' to see available warning codes."],OE=[0,[2,0,[10,0]],jp],$E=[0,[2,0,[10,0]],jp],GE=[0,[2,0,[12,10,[10,0]]],iv],VE=hl,JE=wu,ZE=cc,KE=[0,xu,"MachineApplicable"],rP=Ui,eP=[0,0],nP=Rv,tP=nr,aP=gc,uP=Nt,iP=[0,[11,"help: remove `",[2,0,[12,96,0]]],"help: remove `%s`"],cP=[0,[11,"help: insert `",[2,0,[12,96,0]]],"help: insert `%s`"],fP=[0,[11,"help: replace `",[2,0,[11,"` with `",[2,0,[12,96,0]]]]],"help: replace `%s` with `%s`"],oP=[0,[2,0,0],J],sP=[0,[11,Lr,[2,0,0]],"note: %s"],lP=[0,[2,0,0],J],vP=[0,[15,[17,4,0]],"%a@."],bP=ho,pP=ho,dP=ho,hP=[0,[11," [",[2,0,[12,93,0]]]," [%s]"],mP=nr,kP=[0,[2,0,[11," error",0]],"%s error"],yP=Nt,xP=Va,wP=ho,_P=Va,gP=ho,NP=[0,[2,0,[11,wo,[2,0,[2,0,[11,Ei,[2,0,[2,0,[2,0,[12,10,0]]]]]]]]],"%s: %s%s, %s%s%s\n"],IP=ho,MP=[0,[11,"Candid method name '",[2,0,[11,"' is not a valid Motoko identifier",0]]],"Candid method name '%s' is not a valid Motoko identifier"],TP=ji,AP=[0,[12,95,[2,0,[12,95,0]]],"_%s_"],BP=se,WP=Tf,UP=ts,RP=Ur,QP=[0,bf,Bs,14],CP=Xn,FP=Uf,LP=Te,DP=Ts,SP=[0,bf,oc,18],EP=Tf,PP=Ts,jP=[0,14],YP=Pr,HP=Pr,qP=Pr,zP=nm,XP=Ul,OP=fs,$P=Pr,GP=nf,VP=nf,JP=xo,ZP=pl,KP=co,rj=Hb,ej=il,nj=Hf,tj=rd,aj=Hv,uj=is,ij=Ot,cj=Tp,fj=Vo,oj=_s,sj=Ab,lj=Bb,vj=mt,bj=Wi,pj=[0,Yd,Jh,12],dj=[0,[11,Si,0],Si],hj=[0,[11,la,0],la],mj=[0,[11,Ce,0],Ce],kj=[0,[11,"field name ",[2,0,[11," hash collision with field ",[2,0,0]]]],"field name %s hash collision with field %s"],yj=[0,[2,0,[11," is a non-function type\n ",[2,0,0]]],"%s is a non-function type\n %s"],xj=[0,[11,eh,[2,0,[11," in service",0]]],"duplicate binding for %s in service"],wj=[0,[11,eh,[2,0,[11," in type definitions",0]]],"duplicate binding for %s in type definitions"],_j=[0,Yd,k,14],gj=[0,[2,0,[11," is a non-service type\n ",[2,0,0]]],"%s is a non-service type\n %s"],Nj=[0,[2,0,[11," has a cyclic type definition",0]],"%s has a cyclic type definition"],Ij=[0,[11,"unbound type identifier ",[2,0,0]],"unbound type identifier %s"],Mj=[0,0],Tj=[0,0],Aj=[0,0],Bj=ib,Wj=ho,Uj=[0,[11,"Internal failure -- please contact the parser generator's developers.\n",[10,0]],"Internal failure -- please contact the parser generator's developers.\n%!"],Rj=[0,"idllib/parser.ml",2461,4],Qj=[0,14],Cj=ns,Fj=[0,14],Lj=[0,14],Dj=ns,Sj=ns,Ej=ns,Pj=ns,jj=ns,Yj=ns,Hj=ns,qj=ho,zj=[0,"idllib/parser.mly",12,2],Xj=Cx([[0,xo,0],[0,pl,1],[0,co,2],[0,Hb,3],[0,il,4],[0,Hf,5],[0,rd,6],[0,Hv,7],[0,is,8],[0,Ot,9],[0,Tp,10],[0,Vo,11],[0,_s,12],[0,Ab,13],[0,Bb,14],[0,mt,15],[0,Wi,16]]),Oj=Qa,$j=Vb,Gj=Ju,Vj=un,Jj=aa,Zj=fl,Kj=aa,rY=[0,10,0],eY=[0,13,0],nY=[0,9,0],tY=ho,aY=em,uY=[0,92,0],iY=[0,39,0],cY=[0,34,0],fY=[0,[11,Bd,[2,0,[11,Ti,0]]],rc],oY=ji,sY=[0,[11,"conflict type definition for ",[2,0,0]],"conflict type definition for %s"],lY=ji,vY=[0,[11,'cannot open "',[2,0,[12,34,0]]],'cannot open "%s"'],bY=Rv,pY=vb,dY=vb,hY=ho,mY=[0,0,[0,ie]],kY=[0,[2,0,[2,0,[4,3,0,0,0]]],"%s%s%i"],yY=[0,lt,Xa,16],xY=[0,1],wY=[0,0],_Y=[0,1],gY=[0,2],NY=[0,Ko],IY=[0,Pb],MY=[0,2],TY=[0,lt,At,19],AY=Ki,BY=[0,lt,1429,4],WY=[0,lt,1466,18],UY=[0,lt,1498,11],RY=[0,lt,1513,15],QY=[0,lt,1616,2],CY=[0,lt,1653,23],FY=[1,0,2],LY=[0,lt,1693,31],DY=[0,lt,2071,13],SY=[0,[18,[1,[0,[11,Lp,0],Lp]],[2,0,[12,ds,[17,[0,me,0,0],[15,[17,[0,wf,0,-2],[12,ha,[17,0,0]]]]]]]],"@[%s{@;<0 0>%a@;<0 -2>}@]"],EY=[0,[18,[1,[0,[11,Lp,0],Lp]],[12,ds,[17,[0,me,0,0],[15,[17,[0,wf,0,-2],[12,ha,[17,0,0]]]]]]],Xo],PY=[0,[18,[1,[0,[11,Lp,0],Lp]],[12,ds,[17,[0,me,0,0],[15,[17,[0,wf,0,-2],[12,ha,[17,0,0]]]]]]],Xo],jY=[0,[18,[1,[0,[11,Ob,0],Ob]],[2,0,[11,Ue,[15,[17,0,0]]]]],"@[<1>%s : %a@]"],YY=Eb,HY=tr,qY=[0,[11,"??? ",[2,0,[12,32,[4,3,0,0,0]]]],"??? %s %i"],zY=[0,[18,[1,[0,0,ho]],[2,0,[12,60,[18,[1,[0,[11,Ob,0],Ob]],[15,[17,0,[12,62,[17,0,0]]]]]]]],"@[%s<@[<1>%a@]>@]"],XY=[0,[18,[1,[0,[11,Ob,0],Ob]],[11,$o,[15,[12,93,[17,0,0]]]]],"@[<1>[var %a]@]"],OY=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,91,[15,[12,93,[17,0,0]]]]],"@[<1>[%a]@]"],$Y=nm,GY=ho,VY=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,40,[15,[2,0,[12,41,[17,0,0]]]]]],Ho],JY=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,40,[2,0,[11,Ue,[15,[12,41,[17,0,0]]]]]]],"@[<1>(%s : %a)@]"],ZY=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,40,[15,[12,41,[17,0,0]]]]],wb],KY=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,63,[15,[17,0,0]]]],we],rH=[0,[18,[1,[0,[11,Ob,0],Ob]],[11,lm,[15,[17,0,0]]]],Oa],eH=[0,[18,[1,[0,[11,Of,0],Of]],[11,yf,[2,0,[17,[0,Fn,1,0],[15,[17,0,0]]]]]],Ib],nH=[0,[18,[1,[0,[11,Of,0],Of]],[11,yf,[2,0,[12,60,[15,[12,62,[17,[0,Fn,1,0],[15,[17,0,0]]]]]]]]],"@[<2>async%s<%a>@ %a@]"],tH=[0,[18,[1,[0,[11,Of,0],Of]],[11,yf,[2,0,[17,[0,Fn,1,0],[15,[17,0,0]]]]]],Ib],aH=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,40,[15,[12,41,[17,0,0]]]]],wb],uH=af,iH=[0,[18,[1,[0,[11,Of,0],Of]],[2,0,[15,[15,[11," ->",[17,[0,Fn,1,0],[15,[17,0,0]]]]]]]],"@[<2>%s%a%a ->@ %a@]"],cH=[0,[18,[1,[0,[11,Of,0],Of]],[11,yf,[2,0,[17,[0,Fn,1,0],[15,[17,0,0]]]]]],Ib],fH=[0,[18,[1,[0,[11,Of,0],Of]],[11,yf,[17,[0,Fn,1,0],[15,[17,0,0]]]]],vr],oH=[0,[18,[1,[0,[11,Of,0],Of]],[11,"replies",[17,[0,Fn,1,0],[15,[17,0,0]]]]],"@[<2>replies@ %a@]"],sH=[0,[18,[1,[0,[11,Ob,0],Ob]],[11,Xt,[17,[0,Fn,1,0],[15,[17,0,0]]]]],"@[<1>var@ %a@]"],lH=[0,[18,[1,[0,[11,Ob,0],Ob]],[11,Tv,[2,0,[15,[12,32,[2,0,[17,[0,Fn,1,0],[15,[17,0,0]]]]]]]]],"@[<1>type %s%a %s@ %a@]"],vH=[0,[18,[1,[0,[11,Of,0],Of]],[11,$i,[2,0,[11,Ff,[17,[0,Fn,1,0],[15,[17,0,0]]]]]]],"@[<2>var %s :@ %a@]"],bH=[0,[18,[1,[0,[11,Of,0],Of]],[2,0,[11,Ff,[17,[0,Fn,1,0],[15,[17,0,0]]]]]],"@[<2>%s :@ %a@]"],pH=[0,[18,[1,[0,[11,Of,0],Of]],[11,Tv,[2,0,[15,[12,32,[2,0,[17,[0,Fn,1,0],[15,[17,0,0]]]]]]]]],"@[<2>type %s%a %s@ %a@]"],dH=[0,[12,35,[2,0,0]],_t],hH=[0,[18,[1,[0,[11,Of,0],Of]],[12,35,[2,0,[11,Ff,[17,[0,Fn,1,0],[15,[17,0,0]]]]]]],"@[<2>#%s :@ %a@]"],mH=[0,[2,0,[11,pc,[15,0]]],"%s <: %a"],kH=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,60,[15,[12,62,[17,0,0]]]]],"@[<1><%a>@]"],yH=hn,xH=Wo,wH=[0,[15,[11,bl,[15,0]]],"%a = %a"],_H=hm,gH=yf,NH=fr,IH=an,MH=vn,TH=Rs,AH=Ws,BH=Ve,WH=[0,[11,wh,[15,[11,Fm,[15,[2,0,0]]]]],nn],UH=Ve,RH=[0,[11,wh,[15,[11,Fm,[15,[2,0,0]]]]],nn],QH=[0,[11,"type variable ",[15,[11,"\n was promoted to its bound ",[15,[11,"\n and ",[2,0,0]]]]]],"type variable %a\n was promoted to its bound %a\n and %s"],CH=ev,FH=[0,[2,0,[11,"case `#",[2,0,[11,pp,[2,0,[11,Tv,[15,[2,0,0]]]]]]]],"%scase `#%s` is missing from %stype %a%s"],LH=Tc,DH=fb,SH=ev,EH=[0,[2,0,[2,0,[11," `",[2,0,[11,pp,[2,0,[11,Tv,[15,[2,0,0]]]]]]]]],"%s%s `%s` is missing from %stype %a%s"],PH=Ve,jH=[0,[11,"there are fewer ",[2,0,[11,ya,[2,0,0]]]],"there are fewer %s than expected%s"],YH=Ve,HH=[0,[11,"there are more ",[2,0,[11,ya,[2,0,0]]]],"there are more %s than expected%s"],qH=Ve,zH=[0,[11,"promoting ",[15,[11,"\n to `Any` loses data",[2,0,0]]]],"promoting %a\n to `Any` loses data%s"],XH=Ve,OH=[0,[11,wh,[15,[11,Fm,[15,[2,0,0]]]]],nn],$H=Ve,GH=[0,[11,"of incompatible object sorts:\n ",[2,0,[11," does not match ",[2,0,[2,0,0]]]]],"of incompatible object sorts:\n %s does not match %s%s"],VH=Ve,JH=[0,[11,"of incompatible function modifiers: ",[2,0,[11,si,[2,0,[2,0,0]]]]],"of incompatible function modifiers: %s\n does not match %s%s"],ZH=Ve,KH=[0,[11,"of incompatible function controls: ",[2,0,[11,si,[2,0,[2,0,0]]]]],"of incompatible function controls: %s\n does not match %s%s"],rq=Ve,eq=[0,[11,"of incompatible function types: ",[15,[11,si,[15,[2,0,0]]]]],"of incompatible function types: %a\n does not match %a%s"],nq=Ve,tq=[0,[11,"of incompatible async sorts: ",[2,0,[11,si,[2,0,[2,0,0]]]]],"of incompatible async sorts: %s\n does not match %s%s"],aq=Ve,uq=[0,[11,"of incompatible async scopes: ",[15,[11,si,[15,[2,0,0]]]]],"of incompatible async scopes: %a\n does not match %a%s"],iq=ho,cq=[0,[2,0,[11," (used by ",[2,0,[12,41,0]]]],"%s (used by %s)"],fq=[0,[2,0,[12,32,[2,0,[12,32,[2,0,0]]]]],"%s %s %s"],oq=ib,sq=[0,Ki,ev],lq=[0,"arguments",ev],vq=[0,"results",ev],bq=Ve,pq=[0,[12,96,[2,0,[12,96,0]]],$v],dq=Ve,hq=[0,[11,"`(",[2,0,[11," : _)`",0]]],"`(%s : _)`"],mq=ev,kq=[0,[12,96,[2,0,[12,96,0]]],$v],yq=Ve,xq=[0,[12,96,[2,0,[12,96,0]]],$v],wq=ho,_q=[0,[2,0,0],J],gq=[0,[2,0,[2,0,[4,0,0,0,0]]],"%s%s%d"],Nq=[0,[12,59,[17,[0,Fn,1,0],0]],";@ "],Iq=[0,[12,44,[17,[0,Fn,1,0],0]],",@ "],Mq=[0,[11,Fv,[17,[0,Fn,1,0],0]],"...@ "],Tq=ho,Aq=ho,Bq=Fo,Wq=ti,Uq=Fu,Rq=V,Qq=Xd,Cq=ih,Fq=jf,Lq=dt,Dq=Cl,Sq=U,Eq=xm,Pq=Yf,jq=sf,Yq=hd,Hq=dl,qq=mv,zq=nd,Xq=vo,Oq=ht,$q=zc,Gq=ho,Vq=ho,Jq=[0,lt,990,21],Zq=[0,lt,973,23],Kq=[0,lt,936,23],rz=[0,lt,861,23],ez="lookup_typ_deprecation",nz="lookup_typ_field",tz=[0,0,1],az=[0,0,0],uz=[0,"X",1,0],iz=bi,cz=vl,fz=tn,oz=to,sz=We,lz=[0,lt,598,2],vz=[1,0,2],bz=bh,pz=[7,0],dz=ki,hz=[2,17],mz=mb,kz=Vp,yz=Gr,xz=Im,wz=_o,_z=se,gz=[0,Gh,41,12],Nz=[0,Gh,30,6],Iz=[0,Gh,64,19],Mz=se,Tz=[0,[11,Tv,[2,0,[2,0,[12,32,[2,0,[12,32,[2,0,0]]]]]]],"type %s%s %s %s"],Az=nm,Bz=[0,[2,0,[12,60,[2,0,[12,62,0]]]],"%s<%s>"],Wz=ho,Uz=[0,[11,":\n ",[2,0,[11,"\nis expansive, because ",[2,0,[11," occurs as an indirect argument of recursive type ",[2,0,[11,".\n(",[2,0,[11," would be allowed as an immediate argument, but cannot be part of a larger type expression.)",[2,0,0]]]]]]]]]],":\n %s\nis expansive, because %s occurs as an indirect argument of recursive type %s.\n(%s would be allowed as an immediate argument, but cannot be part of a larger type expression.)%s"],Rz=[0,Bo,155,8],Qz=[0,Bo,Ov,4],Cz=[0,Bo,94,6],Fz=[0,Fo],Lz=[0,ti],Dz=[0,Fu],Sz=[0,V],Ez=[0,Xd],Pz=[0,ih],jz=[0,jf],Yz=[0,dt],Hz=[0,Cl],qz=[0,U],zz=[0,xm],Xz=[0,Yf],Oz=[0,sf],$z=[0,hd],Gz=[0,dl],Vz=[0,mv],Jz=[0,nd],Zz=[0,vo],Kz=[0,ht],rX=[0,zc],eX=[0,[6,12,0,0,0],"%nu"],nX=[0,"big_int.ml",879,2],tX=Pk(1,0,0),aX=cd,uX=cd,iX=cd,cX=lc,fX=Pk(Gn,hu,0),oX=Pk(Gn,hu,0),sX=Pk(0,0,0),lX=lc,vX=Pk(0,0,0),bX=lc,pX=Pk(0,0,0),dX=Pk(0,0,0),hX=Pk(0,0,0),mX=jo,kX=jo,yX=jo,xX=Ee,wX=[1,"The prim package has no modules"],_X=Oc,gX=[0,[11,"Package imports mustn't access parent directories: ",[2,0,[11," is invalid.",0]]],"Package imports mustn't access parent directories: %s is invalid."],NX=[0,0],IX=ho,MX=[1,"Unrecognized URL"],TX=[1,"principal cannot be empty"],AX=[1,"principal too short"],BX=[0,[11,"invalid principal. Did you mean ",[3,0,[12,63,0]]],"invalid principal. Did you mean %S?"],WX=Cv,UX=yi,RX=Yu,QX=Yu,CX=yi,FX=Cv,LX=[0,[12,40,[2,0,[4,3,0,0,[12,32,[2,0,[12,32,[4,3,0,0,[12,41,0]]]]]]]],"(%s%i %s %i)"],DX=[0,0,0,1,1],SX=ho,EX=[0,"mo_values/numerics.ml",um,10],PX=Pk(0,0,0),jX=[0,[7,6,0,0,0],ob],YX=O,HX=O,qX=[0,1],zX=Cb,XX=Bb,OX=Op,$X=E,GX=nm,VX=ho,JX=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,40,[15,[2,0,[12,41,[17,0,0]]]]]],Ho],ZX=$i,KX=ho,rO=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,91,[15,[15,[12,93,[17,0,0]]]]]],"@[<1>[%a%a]@]"],eO=ho,nO=[0,[18,[1,[0,[11,Lp,0],Lp]],[15,[12,ds,[17,[0,me,0,0],[15,[17,[0,wf,0,-2],[12,ha,[17,0,0]]]]]]]],"@[%a{@;<0 0>%a@;<0 -2>}@]"],tO=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,40,[15,[12,41,[17,0,0]]]]],wb],aO=[0,[18,[1,[0,[11,Of,0],Of]],[2,0,[11," =",[17,[0,Fn,1,0],[15,[17,0,0]]]]]],"@[<2>%s =@ %a@]"],uO=Cb,iO=[0,[18,[1,[0,[11,Ob,0],Ob]],[12,63,[15,[17,0,0]]]],we],cO=[0,[12,35,[2,0,0]],_t],fO=[0,[18,[1,[0,0,ho]],[12,35,[2,0,[17,[0,uv,0,1],[15,[17,0,0]]]]]],"@[#%s@;<0 1>%a@]"],oO=[0,[18,[1,[0,0,ho]],[12,35,[2,0,[17,[0,uv,0,1],[12,40,[15,[12,41,[17,0,0]]]]]]]],"@[#%s@;<0 1>(%a)@]"],sO=[0,[18,[1,[0,[11,Of,0],Of]],[11,"async[",[4,0,0,0,[12,93,[17,[0,Fn,1,0],[15,[17,0,0]]]]]]],"@[<2>async[%d]@ %a@]"],lO=[0,[18,[1,[0,[11,Of,0],Of]],[11,yf,[17,[0,Fn,1,0],[15,[17,0,0]]]]],vr],vO=[0,[18,[1,[0,[11,Ob,0],Ob]],[11,lm,[15,[17,0,0]]]],Oa],bO=[0,[18,[1,[0,0,ho]],[11,vo,[17,[0,Fn,1,0],[15,[17,0,0]]]]],"@[Error@ %a@]"],pO=se,dO=se,hO=[0,[12,59,[17,[0,Fn,1,0],0]],";@ "],mO=[0,[12,44,[17,[0,Fn,1,0],0]],",@ "],kO=oa,yO=ho,xO=[0,[11,"ID:",[4,3,0,0,0]],"ID:%i"],wO=bi,_O=vl,gO=We,NO=tn,IO=to,MO=ho,TO=Bb,AO=Op,BO=E,WO=[0,[12,ds,[2,0,[12,ha,0]]],"{%s}"],UO=[0,[12,35,[2,0,[2,0,0]]],"#%s%s"],RO=[0,[12,35,[2,0,0]],_t],QO=[0,[12,35,[2,0,[12,40,[2,0,[12,41,0]]]]],"#%s(%s)"],CO=[0,rf,87,11],FO=Ei,LO=[0,[11,$o,[2,0,[12,93,0]]],"[var %s]"],DO=Ei,SO=[0,[12,91,[2,0,[12,93,0]]],"[%s]"],EO=Bb,PO=nm,jO=ho,YO=Ei,HO=[0,[12,40,[2,0,[2,0,[12,41,0]]]],Rf],qO=[0,[11,"(weak ",[2,0,[12,41,0]]],"(weak %s)"],zO=[0,[18,[1,[0,0,ho]],[11,"show_val: ",[15,[11,Ue,[15,[17,4,[17,0,0]]]]]]],"@[show_val: %a : %a@.@]"],XO=[0,rf,93,4],OO=[0,[2,0,[11,bl,[2,0,0]]],"%s = 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"],HV=[0,[11,"Candidate #",[4,0,0,0,[12,10,0]]],"Candidate #%d\n"],qV=[0,"mo_frontend/variance.ml",52,23],zV=Ev,XV=[0,[12,96,[2,0,[11,"` cannot be inferred.",0]]],"`%s` cannot be inferred."],OV=[0,b,600,4],$V=[0,b,607,4],GV=[0,0,0],VV=[0,[2,0,[11," := ",[2,0,0]]],"%s := %s"],JV=[0,0,0],ZV=Ei,KV=[0,[11,"bug: inferred bad instantiation\n <",[2,0,[11,">\nplease report this error message and, for now, supply an explicit instantiation instead",0]]],"bug: inferred bad instantiation\n <%s>\nplease report this error message and, for now, supply an explicit instantiation instead"],rJ=Wo,eJ=[0,[15,[11," (for the expected return type) ",0]],"%a (for the expected return type) "],nJ=Wo,tJ=[0,[15,[11," (for argument `",[2,0,[11,"`) ",0]]]],"%a (for argument `%s`) "],aJ=Wo,uJ=[0,[15,0],c],iJ=[0,[11,"there is no way to satisfy subtyping",[2,0,0]],"there is no way to satisfy subtyping%s"],cJ=Ei,fJ=[0,[11,"Hint: Add explicit type instantiation, e.g. <",[2,0,[12,62,0]]],"Hint: Add explicit type instantiation, e.g. <%s>"],oJ=[0,b,Qv,17],sJ=[0,b,li,6],lJ=[0,b,yo,6],vJ=[0,b,292,6],bJ=[0,b,et,8],pJ=[0,b,Ta,8],dJ=[0,b,206,6],hJ=[0,b,209,6],mJ=[0,[11,"bug: impossible over-constrained type parameter `",[2,0,[11,"` with",[15,[11,"\nwhere",[15,[11,"\nPlease report this bug and supply an explicit instantiation instead.",0]]]]]]],"bug: impossible over-constrained type parameter `%s` with%a\nwhere%a\nPlease report this bug and supply an explicit instantiation instead."],kJ=ho,yJ=Gs,xJ=ho,wJ=Ev,_J=[0,[11,'there is no "best" choice for type parameter',[2,0,[11," `",[2,0,[11,"`.",0]]]]],'there is no "best" choice for type parameter%s `%s`.'],gJ=[0,[11,"type parameter `",[2,0,[11,"` has a bound ",[15,[11,"\ninvolving another type parameter. 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Try something else?"],kZ=Bn,yZ=Ei,xZ=[0,[11,"help: did you mean ",[2,0,[12,32,[2,0,[12,63,0]]]]],"help: did you mean %s %s?"],wZ=ho,_Z=[0,[11,"expected module, object, or actor type, but path expression produces type",[15,0]],"expected module, object, or actor type, but path expression produces type%a"],gZ=[0,[11,"cannot infer type of forward variable reference ",[2,0,0]],"cannot infer type of forward variable reference %s"],NZ=[0,[11,"unavailable variable ",[2,0,0]],"unavailable variable %s"],IZ=[0,[11,re,[2,0,[15,0]]],mr],MZ=Zo,TZ=[0,[11,os,[2,0,[11,Xv,[15,0]]]],Wf],AZ=fb,BZ=[0,[11,cb,[2,0,0]],us],WZ=[0,[11,"unbound type ",[2,0,[15,0]]],"unbound type %s%a"],UZ="M0029",RZ=ib,QZ=[0,[11,"type field ",[2,0,[11,Xv,[15,0]]]],"type field %s does not exist in %a"],CZ="M0030",FZ=Tc,LZ=Tc,DZ=[0,[11,sv,[15,0]],Ac],SZ=yb,EZ=[0,[11,Qu,0],Qu],PZ="M0040",jZ=fb,YZ=Ms,HZ=Tc,qZ=Ms,zZ="variant type",XZ=[0,[11,_n,[15,0]],Rt],OZ=Th,$Z=[0,1],GZ=[0,[11,eb,[15,0]],w],VZ=Rb,JZ=[0,[11,"async has non-shared 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type field in base%a"],E1=Ha,P1=[0,[11,pr,0],pr],j1=[0,[11,"base has non-aliasable var field",[15,0]],"base has non-aliasable var field%a"],Y1=[0,[11,v,0],v],H1=[0,[11,"ambiguous field in base",[15,0]],"ambiguous field in base%a"],q1=Ha,z1=[0,[11,ql,[15,0]],Qc],X1=[0,[11,Kr,0],Kr],O1=fb,$1=fr,G1=[3,0,0,0],V1=[0,lu,2396,2],J1=[0,lu,2397,2],Z1=[0,lu,2398,2],K1=[0,[11,Le,[15,[11,Ol,[15,[15,0]]]]],"expression of type%a\ncannot produce expected type%a%a"],r2=xn,e2=[0,[11,"function return type",[15,[11,"\ndoes not match expected return type",[15,[15,0]]]]],"function return type%a\ndoes not match expected return type%a%a"],n2="M0095",t2=[0,[12,39,[2,0,[12,39,0]]],"'%s'"],a2=[0,[11,"If you're trying to omit an implicit argument named ",[2,0,[11," you need to have a matching declaration named ",[2,0,[11," in scope.",0]]]]],"If you're trying to omit an implicit argument named %s you need to have a matching declaration named %s in scope."],u2=Bn,i2=[0,[11,"Did you mean to import ",[2,0,[12,63,0]]],"Did you mean to import %s?"],c2=[0,[11,"Cannot determine implicit argument ",[2,0,[11,cv,[15,0]]]],"Cannot determine implicit argument %s of type%a"],f2="M0230",o2=[0,[11,kt,0],kt],s2="M0090",l2=[0,[11,_f,[15,0]],Av],v2=lh,b2=[2,16],p2=[0,[11,"to_candid produces a Blob that is not a subtype of",[15,0]],"to_candid produces a Blob that is not a subtype of%a"],d2="M0172",h2=[0,[11,qs,[15,0]],vf],m2="M0173",k2=[2,16],y2=[2,16],x2=[0,[11,"from_candid produces an optional shared type, not type",[15,0]],"from_candid produces an optional shared type, not type%a"],w2="M0174",_2=[2,0],g2=Br,N2=Br,I2=[0,[11,ld,0],ld],M2=Uv,T2=ho,A2=Gs,B2=Ei,W2=[0,[11,"missing field",[2,0,[12,32,[2,0,[11," from expected type",[15,0]]]]]],"missing field%s %s from expected type%a"],U2="M0151",R2=ho,Q2=[0,[2,0,[11,"mutable array expression cannot produce expected type",[15,0]]],"%smutable array expression cannot produce expected type%a"],C2="M0091",F2=km,L2=[0,[11,gt,0],gt],D2=ce,S2=[0,3,[0,0,0]],E2=ys,P2="Use keyword 'async' (not 'async*') to produce the expected type.",j2="Use keyword 'async*' (not 'async') to produce the expected type.",Y2=[0,[11,"async expression cannot produce expected async type ",[15,[11,".\n",[2,0,0]]]],"async expression cannot produce expected async type %a.\n%s"],H2="M0183",q2=[0,[11,"async at scope",[15,[11,"\ncannot produce expected scope",[15,[15,[15,0]]]]]],"async at scope%a\ncannot produce expected scope%a%a%a"],z2="M0092",X2=Es,O2=th,$2=[0,[11,Le,[15,[11,Ol,[15,[15,[2,0,0]]]]]],"expression of type%a\ncannot produce expected type%a%a%s"],G2=xn,V2=[0,[11,"expected mutable 'var' field ",[2,0,[11,cv,[15,[11,"\nbut found immutable field (insert 'var'?)",0]]]]],"expected mutable 'var' field %s of type%a\nbut found immutable field (insert 'var'?)"],J2=[0,[11,"expected immutable field ",[2,0,[11,cv,[15,[11,"\nbut found mutable 'var' field (delete 'var'?)",0]]]]],"expected immutable field %s of type%a\nbut found mutable 'var' field (delete 'var'?)"],Z2=[0,lu,2664,35],K2=[0,[11,x,0],x],r3=Gt,e3=[0,1,[0,2,0]],n3=Go,t3=ho,a3=Go,u3=ho,i3=[0,[2,0,[11,"shared function does not match expected ",[2,0,[11,"shared function type",0]]]],"%sshared function does not match expected %sshared function type"],c3=ho,f3=[0,[11,"field `",[2,0,[11,"` is provided but not expected in record",[2,0,[11,cv,[15,0]]]]]],"field `%s` is provided but not expected in record%s of type%a"],o3=oi,s3=[0,[11,"public type `",[2,0,[11,yc,[15,0]]]],"public type `%s` is provided but not expected in object of type%a"],l3=oi,v3=[0,[11,"public field `",[2,0,[11,yc,[15,0]]]],"public field `%s` is provided but not expected in object of type%a"],b3=oi,p3=[0,lu,2703,24],d3=[0,lu,2689,24],h3=[0,1,0],m3=Bn,k3=[0,[11,"\nHint: Did you mean to import ",[2,0,[12,63,0]]],"\nHint: Did you mean to import %s?"],y3=[1,"hole"],x3=[0,[11,"The `",[2,0,[11,"` argument can be inferred and omitted here (the function parameter is `implicit`).",0]]],"The `%s` argument can be inferred and omitted here (the function parameter is `implicit`)."],w3=Lu,_3=ho,g3=Lu,N3=[0,[11,"expected function type, but expression produces type",[15,0]],"expected function type, but expression produces type%a"],I3=[0,[11,$l,0],$l],M3=[0,lu,2870,14],T3=Ud,A3=[0,[11,ye,0],ye],B3=Ud,W3=ho,U3=[0,[11,"shared function argument contains abstract type",[15,0]],"shared function argument contains abstract type%a"],R3=[0,[11,"shared function call result contains abstract type",[15,0]],"shared function call result contains abstract type%a"],Q3=[0,[11,As,0],As],C3=ho,F3=[0,[11,"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)",0]]],"this function call implicitly requires `system` capability and may perform undesired actions (please review the call and provide a type instantiation `` to suppress this warning)"],L3=Je,D3=[0,[11,"wrong number of arguments: expected ",[4,0,0,0,[11,Rc,[4,0,0,0,[12,10,[15,[12,10,[15,0]]]]]]]],"wrong number of arguments: expected %d but got %d\n%a\n%a"],S3=[0,[11,Le,[15,[11,Ol,[15,0]]]],td],E3=xn,P3=[0,lu,3063,10],j3=[0,[11,"function `.",[2,0,[12,96,0]]],"function `.%s`"],Y3=Uu,H3=[0,[12,10,[2,0,0]],"\n%s"],q3=ho,z3=[0,[11,"cannot apply ",[2,0,[11,cv,[15,[11,"\nto argument of type",[15,[11,Ef,[2,0,[2,0,0]]]]]]]]],"cannot apply %s of type%a\nto argument of type%a\nbecause %s%s"],X3=[0,lu,3155,2],O3=[0,[11,"the switch has type",[15,[11,"\nbecause branches have inconsistent types,\nthis case produces type",[15,[11,"\nthe previous produce type",[15,0]]]]]],"the switch has type%a\nbecause branches have inconsistent types,\nthis case produces type%a\nthe previous produce type%a"],$3=Uc,G3=[0,lu,3217,2],V3=[0,[11,du,0],du],J3=[0,[11,en,0],en],Z3=[0,[11,Ji,[15,0]],yh],K3=Zv,r4=[0,[11,Hd,0],Hd],e4=[0,[11,eh,[2,0,[11,Uh,0]]],xv],n4=er,t4=[0,[11,eh,[2,0,[11,Uh,0]]],xv],a4=er,u4=[0,[11,a,0],a],i4=im,c4=[0,[11,wr,0],wr],f4=[0,3,[0,0,0]],o4=[0,[11,cf,0],cf],s4=[0,[11,gd,0],gd],l4=[0,3,[0,0,0]],v4=[0,[11,Ns,0],Ns],b4=[0,lu,3321,19],p4=[0,lu,3334,2],d4=[0,[11,"this expression has type `",[15,[12,96,0]]],"this expression has type `%a`"],h4=[0,lu,3346,2],m4=[0,[11,"literal pattern cannot consume expected type",[15,0]],"literal pattern cannot consume expected type%a"],k4="M0110",y4=[0,[11,"operator pattern cannot consume expected type",[15,0]],"operator pattern cannot consume expected type%a"],x4="M0111",w4=se,_4=ho,g4=[0,[11,Oo,[15,[11,"`, got `(",[2,0,[11,")`",0]]]]],"expected `%a`, got `(%s)`"],N4=[0,[11,as,0],as],I4="M0112",M4=[0,[11,Oo,[15,[11,"`, got object type",0]]],"expected `%a`, got object type"],T4=[0,[11,lp,0],lp],A4="M0113",B4=[0,[11,"object pattern cannot consume values from actor type",[15,0]],"object pattern cannot consume values from actor type%a"],W4="M0114",U4=[0,[11,Oo,[15,[11,"`, got `?_`",0]]],"expected `%a`, got `?_`"],R4=[0,[11,nt,0],nt],Q4="M0115",C4=[0,[11,Oo,[15,[11,"`, got `{#",[2,0,[11," : _}`",0]]]]],"expected `%a`, got `{#%s : _}`"],F4=[0,[11,mf,0],mf],L4="M0116",D4=[0,[11,sl,0],sl],S4=Nv,E4=[0,[11,"pattern of type",[15,[11,"\ncannot consume expected type",[15,0]]]],"pattern of type%a\ncannot consume expected type%a"],P4="M0117",j4=[0,[11,eh,[2,0,[11,Uh,0]]],xv],Y4=er,H4=[0,[11,Ch,[4,3,0,0,[11,bt,[4,3,0,0,0]]]],Nu],q4=Cu,z4=[0,[11,"duplicate field ",[2,0,[11,Ec,0]]],"duplicate field %s in object pattern"],X4=Da,O4=[0,[11,"object field ",[2,0,[11,Gf,[15,0]]]],"object field %s is not contained in expected type%a"],$4=$u,G4=[0,[11,"cannot pattern match mutable field ",[2,0,0]],"cannot pattern match mutable field %s"],V4="M0120",J4=fb,Z4=[0,[11,eh,[2,0,[11,Uh,0]]],xv],K4=er,r5=[0,[11,a,0],a],e5=im,n5=ho,t5=[0,[11,"mismatched types for type ",[2,0,[11," in patterns",0]]],"mismatched types for type %s in patterns"],a5=Nv,u5=[0,[11,xh,0],xh],i5=Nv,c5=[0,[11,wv,[2,0,[11,Uh,0]]],"duplicate binding for type %s in pattern"],f5=er,o5=[0,[11,Ch,[4,3,0,0,[11,bt,[4,3,0,0,0]]]],Nu],s5=Cu,l5=[0,[11,"object type field ",[2,0,[11,Gf,[15,0]]]],"object type field %s is not contained in expected type%a"],v5=$u,b5=[0,[11,"duplicate type field ",[2,0,[11,Ec,0]]],"duplicate type field %s in object pattern"],p5=Da,d5=[0,[11,"duplicate type binding for ",[2,0,[11,Uh,0]]],"duplicate type binding for %s in pattern"],h5=er,m5=ho,k5=[0,[11,"field names ",[2,0,[11,Dd,[2,0,[11,Tt,[2,0,[11,"object type have colliding hashes",0]]]]]]],"field names %s and %s in %sobject type have colliding hashes"],y5=[0,[11,Dc,0],Dc],x5=[0,1,[0,2,0]],w5=[0,[11,ss,0],ss],_5=[0,[11,"public actor field ",[2,0,[11," has non-shared function type",[15,0]]]],"public actor field %s has non-shared function type%a"],g5=[0,[11,os,[2,0,[11," in parenthetical is declared with type",[15,[11,zh,[15,0]]]]]],"field %s in parenthetical is declared with type%a\ninstead of expected type%a"],N5=[0,lu,3799,39],I5=[0,[11,lv,0],lv],M5=gn,T5=[0,[11,za,0],za],A5=gn,B5=[0,lu,3802,25],W5=[0,[11,Za,0],Za],U5=Re,R5=[0,[11,Hn,[2,0,[11," in parenthetical",0]]],"unrecognised attribute %s in parenthetical"],Q5=Ca,C5=[0,[11,"system function ",[2,0,[11," is declared with type",[15,[11,zh,[15,0]]]]]],"system function %s is declared with type%a\ninstead of expected type%a"],F5=[0,[11,pb,0],pb],L5=[0,[11,op,0],op],D5=Um,S5=Bn,E5=[0,[11,"unexpected system method named ",[2,0,[11,", expected ",[2,0,0]]]],"unexpected system method named %s, expected %s"],P5=[0,[11,Fl,0],Fl],j5=[0,lu,3862,9],Y5=_e,H5=[0,[11,Me,0],Me],q5=ta,z5=[0,[11,_l,0],_l],X5=ta,O5=[0,[11,P,0],P],$5=ta,G5=[0,[11,Oh,0],Oh],V5=[0,[11,"expected stable type, but migration expression ",[2,0,[11," non-stable type",[15,0]]]],"expected stable type, but migration expression %s non-stable type%a"],J5=[0,[11,"expected object type, but migration expression ",[2,0,[11," non-object type",[15,0]]]],"expected object type, but migration expression %s non-object type%a"],Z5=ho,K5=[0,[11,"expected non-generic, local function type, but migration expression produces type",[15,0]],"expected non-generic, local function type, but migration expression produces type%a"],r6=[0,[11,"initial actor requires field `",[2,0,[11,$f,[15,0]]]],"initial actor requires field `%s` of type%a"],e6=Vd,n6=[0,[11,Ll,[2,0,[11,$f,[15,[11,"\nbut does not produce it, yet the field is declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it, yet the field is declared in the actor.\n%s\n%s"],t6=_u,a6=[0,[11,Ll,[2,0,[11,$f,[15,[11,"\nbut does not produce it. The field is not declared in the actor.\n",[2,0,[12,10,[2,0,0]]]]]]]],"migration expression consumes field `%s` of type%a\nbut does not produce it. The field is not declared in the actor.\n%s\n%s"],u6=ym,i6=[0,[11,"migration expression produces unexpected field `",[2,0,[11,$f,[15,[12,10,[2,0,0]]]]]],"migration expression produces unexpected field `%s` of type%a\n%s"],c6=fb,f6=[0,[11,"migration expression produces field `",[2,0,[11,$f,[15,[11,"\n, not the expected type",[15,[15,0]]]]]]],"migration expression produces field `%s` of type%a\n, not the expected type%a%a"],o6=ho,s6=[0,[11,"expected expression with field `migration`, but expression has type",[15,0]],"expected expression with field `migration`, but expression has type%a"],l6=[0,[11,fh,0],fh],v6=Wh,b6=[0,lu,4076,24],p6=[0,[11,Hn,[2,0,[11," in parenthetical note",0]]],"unrecognised attribute %s in parenthetical note"],d6=Ca,h6=[0,[11,Dr,0],Dr],m6=[0,[11,zo,0],zo],k6=Bt,y6=[0,[11,od,0],od],x6=[0,[11,Kh,0],Kh],w6=pd,_6=[0,[11,A,0],A],g6=[0,[11,zf,0],zf],N6=ho,I6=[0,[11,ad,[2,0,[11,"stability modifier: allowed on var or simple let declarations only",0]]],"misplaced %sstability modifier: allowed on var or simple let declarations only"],M6=[0,[11,Lt,[2,0,[11," is declared stable but has non-stable type",[15,0]]]],"variable %s is declared stable but has non-stable type%a"],T6=[0,lu,4138,14],A6=Wh,B6=Xt,W6=Kd,U6=[0,[11,"Avoid binding a unit `()` result; remove `",[2,0,[11,"` and keep the expression",0]]],"Avoid binding a unit `()` result; remove `%s` and keep the expression"],R6=cp,Q6=[0,[11,tc,0],tc],C6=[0,[11,gr,0],gr],F6=[0,[11,Xh,0],Xh],L6=[0,[11,"shared constructor has non-shared parameter type",[15,0]],"shared constructor has non-shared parameter type%a"],D6=[0,[11,ne,0],ne],S6=[0,lu,4403,35],E6=[0,[11,gu,0],gu],P6=Sl,j6=[0,[11,"class body of type",[15,[11,Xu,[15,0]]]],"class body of type%a\ndoes not match expected type%a"],Y6=[0,[11,ur,0],ur],H6=[0,[11,Bf,0],Bf],q6=[0,[11,Tu,[2,0,0]],Dl],z6=ms,X6=[0,[11,"empty block cannot produce expected type",[15,0]],"empty block cannot produce expected type%a"],O6=[0,[11,Le,[15,[11,Ol,[15,0]]]],td],$6=xn,G6=ho,V6=Tv,J6=ho,Z6=[0,[11,Tu,[2,0,0]],Dl],K6=ms,r8=Tv,e8=ho,n8=ho,t8=Tv,a8=[0,0,2],u8=[0,[11,Tu,[2,0,0]],Dl],i8=ms,c8=[0,lu,4692,2],f8=[0,lu,4695,10],o8=[0,[11,ee,0],ee],s8=Cr,l8=[0,[11,Bc,0],Bc],v8="M0138",b8=[0,3,[0,0,0]],p8=[0,[11,fo,0],fo],d8="M0139",h8=[0,1,[0,2,0]],m8=[0,[11,vp,0],vp],k8="M0140",y8=[0,[11,bp,0],bp],x8=[0,[11,jd,0],jd],w8=[0,[11,Bu,0],Bu],_8=Jt,g8=[0,[11,fn,0],fn],N8=af,I8=[0,lu,4930,26],M8=[0,lu,4931,23],T8=[0,[11,"duplicate binding for mixin ",[2,0,[11,S,0]]],"duplicate binding for mixin %s in imports"],A8=er,B8=[0,[11,wv,[2,0,[11,S,0]]],"duplicate binding for type %s in imports"],W8=er,U8=[0,[11,eh,[2,0,[11,S,0]]],"duplicate binding for %s in imports"],R8=er,Q8=[0,[11,Xl,0],Xl],C8=[0,lu,4802,4],F8=[0,lu,4806,9],L8=Jf,D8=ho,S8=Fv,E8=[0,[11,"You can use the dot notation `",[2,0,[12,46,[2,0,[11,"(...)` here",0]]]]],"You can use the dot notation `%s.%s(...)` here"],P8=Jf,j8=Ei,Y8=[0,[11,"overlapping resolution for `",[2,0,[11,"` in scope from these modules: ",[2,0,0]]]],"overlapping resolution for `%s` in scope from these modules: %s"],H8=Ei,q8=[0,[11,"The ambiguous implicit candidates are: ",[2,0,[12,46,0]]],"The ambiguous implicit candidates are: %s."],z8=[0,[11,"ambiguous implicit argument ",[2,0,[11,Jc,[15,[12,46,0]]]]],"ambiguous implicit argument %s of type %a."],X8=[0,0,0],O8=[0,[11,"operator is not defined for operand types",[15,[11,Nn,[15,0]]]],"operator is not defined for operand types%a\nand%a"],$8=[0,[11,"duplicate definition for ",[2,0,[2,0,[11," in block",0]]]],"duplicate definition for %s%s in block"],G8=[8,0,0,0,0,[0,[2,2],0]],V8=Vp,J8=[2,14],Z8=tp,K8=[2,2],r9=jh,e9=[8,0,0,0,0,[0,[2,2],0]],n9=Vp,t9=[2,3],a9=Xc,u9=[2,3],i9=ub,c9=[8,0,0,0,[0,[2,2],0],[0,[2,3],0]],f9=wn,o9=[2,2],s9=Xc,l9=ub,v9=[2,2],b9=jh,p9=[8,0,0,0,0,[0,[2,2],0]],d9=Vp,h9=[0,[2,2],0],m9=wn,k9=ho,y9=[0,[11,"literal of type",[15,[11,"\ndoes not have expected type",[15,[2,0,0]]]]],"literal of type%a\ndoes not have expected type%a%s"],x9=[0,lu,1280,4],w9=[0,[11,'string literal "',[2,0,[11,'": is not valid utf8',0]]],'string literal "%s": is not valid utf8'],_9=[0,[11,"literal out of range for type ",[2,0,0]],"literal out of range for type %s"],g9=[0,[11,ad,[2,0,[11,"; try enclosing in an async expression or query function",0]]],"misplaced %s; try enclosing in an async expression or query function"],N9=Wb,I9=[0,[11,ad,[2,0,0]],Di],M9=Wb,T9=[0,[11,ad,[2,0,[11,"; try enclosing in an async expression",0]]],"misplaced %s; try enclosing in an async expression"],A9=Dp,B9=[0,[11,ad,[2,0,0]],Di],W9=Dp,U9=[0,[11,ad,[2,0,[11,"; a query cannot contain an ",[2,0,0]]]],"misplaced %s; a query cannot contain an %s"],R9=fd,Q9=[0,[11,ad,[2,0,[11,"; a composite query cannot contain an ",[2,0,0]]]],"misplaced %s; a composite query cannot contain an %s"],C9=fd,F9=[0,[11,ad,[2,0,[11,"; try enclosing in an async function",0]]],"misplaced %s; try enclosing in an async function"],L9=fd,D9=[0,lu,745,22],S9=[0,[11,"start of scope ",[2,0,[11,$c,[2,0,0]]]],"start of scope %s mentioned in error at %s"],E9=[0,[11,"end of scope ",[2,0,[11,$c,[2,0,0]]]],"end of scope %s mentioned in error at %s"],P9=[0,[11,Tn,[15,[11," is ",[2,0,0]]]],"\n scope %a is %s"],j9=[0,[11,Tn,[15,[11," is the global scope",0]]],"\n scope %a is the global scope"],Y9=ho,H9=[0,[11,Du,0],Du],q9=[0,[11,uo,0],uo],z9=[0,lu,680,2],X9=[0,[11,rh,0],rh],O9=[0,[11,"\ntype",[15,[11,"\nis or contains non-shared type",[15,0]]]],"\ntype%a\nis or contains non-shared type%a"],$9=[0,[11,"unresolved import ",[2,0,0]],"unresolved import %s"],G9=Vi,V9=[0,[11,"cannot infer type of forward import ",[2,0,0]],"cannot infer type of forward import %s"],J9=[0,[11,"imported file ",[2,0,[11," not loaded",0]]],"imported file %s not loaded"],Z9=Ei,K9=[0,[11,Tv,[2,0,[2,0,[12,32,[2,0,[12,32,[2,0,[11," references type parameter",[2,0,[12,32,[2,0,[11," from an outer scope",0]]]]]]]]]]]],"type %s%s %s %s references type parameter%s %s from an outer scope"],r7=mb,e7=An,n7=Ss,t7=bo,a7=[0,[11,Vs,0],Vs],u7=[0,[11,"first use of ",[2,0,0]],"first use of %s"],i7=[0,[11,"duplicate ",[2,0,[11," name ",[2,0,[11,Tt,[2,0,0]]]]]],"duplicate %s name %s in %s"],c7=[0,[2,0,[11," names ",[2,0,[11,Dd,[2,0,[11,Tt,[2,0,[11," have colliding hashes",0]]]]]]]],"%s names %s and %s in %s have colliding hashes"],f7=[0,[11,Sn,0],Sn],o7=Ba,s7=Vc,l7=[0,[11,"this ",[2,0,[11,cv,[15,[11,"\ndoes not cover value\n ",[2,0,0]]]]]],"this %s of type%a\ndoes not cover value\n %s"],v7=kf,b7=[0,[11,Kt,0],Kt],p7=Mi,d7=[0,[11,"cannot decide equality between type",[15,[11,Nn,[15,0]]]],"cannot decide equality between type%a\nand%a"],h7=Mi,m7=[0,[11,$e,[15,[11,Nn,[15,0]]]],Tm],k7=Mi,y7=[0,[11,$e,[15,[11,Nn,[15,0]]]],Tm],x7=Mi,w7=fa,_7=st,g7=[0,[11,"unused identifier: `",[2,0,[12,96,0]]],"unused identifier: `%s`"],N7=[0,[11,"help: if this is intentional, prefix it with an underscore: `_",[2,0,[12,96,0]]],"help: if this is intentional, prefix it with an underscore: `_%s`"],I7=no,M7=Ad,T7=[0,[11,"unused field in pattern: `",[2,0,[12,96,0]]],"unused field in pattern: `%s`"],A7=[0,[11,"help: if this is intentional, delete or rewrite as `",[2,0,[11," = _`",0]]],"help: if this is intentional, delete or rewrite as `%s = _`"],B7=[0,[11,Lt,[2,0,[11," is never reassigned, consider using `let`",0]]],"variable %s is never reassigned, consider using `let`"],W7=oo,U7=[0,[11,"pattern variable ",[2,0,[11," has larger type",[15,[11,"\nbecause its types in the pattern alternatives are unrelated smaller types:\ntype in left pattern is",[15,[11,"\ntype in right pattern is",[15,0]]]]]]]],"pattern variable %s has larger type%a\nbecause its types in the pattern alternatives are unrelated smaller types:\ntype in left pattern is%a\ntype in right pattern is%a"],R7=rl,Q7=ho,C7=Gs,F7=[0,[2,0,[11,"\n (This is a limitation of the current version",[2,0,[11,".)",0]]]],"%s\n (This is a limitation of the current version%s.)"],L7=ho,D7=[0,[2,0,[12,32,[2,0,[11," is deprecated for caffeine",0]]]],"%s %s is deprecated for caffeine"],S7=[0,[11,Fd,0],Fd],E7=[0,[2,0,[12,32,[2,0,[11," is deprecated:\n",[2,0,0]]]]],"%s %s is deprecated:\n%s"],P7=C,j7=[0,[2,0,0],J],Y7=ib,H7=ib,q7=ib,z7=[0,[11," in type environment:",[15,0]]," in type environment:%a"],X7=[0,[11," in label environment:",[15,0]]," in label environment:%a"],O7=[0,[11," in environment:",[15,0]]," in environment:%a"],$7=[0,[11,ln,[15,0]],It],G7=fr,V7=an,J7=vn,Z7=Rs,K7=Ws,rrr=[0,[2,0,[12,46,0]],"%s."],err=[0,[11,ln,[15,0]],It],nrr=[0,[11,cl,0],cl],trr=[0,[11,"But got ",[4,0,0,0,[11,Vn,[2,0,[11,Sh,[15,0]]]]]],"But got %d argument%s of type:%a"],arr=[0,[11,bd,0],bd],urr=[0,[11,"Expected ",[4,0,0,0,[11,Vn,[2,0,[11,Sh,[15,0]]]]]],"Expected %d argument%s of type:%a"],irr=ho,crr=Gs,frr=[0,[11,Ef,[2,0,0]],"\nbecause 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o=[0,c,n[11]],s=e_(t,n);if("number"==typeof s)switch(s){case 0:return r<50?jHr(r+1|0,o,n,t,25):gw(jHr,[0,o,n,t,25]);case 1:return r<50?YHr(r+1|0,o,n,t,25):gw(YHr,[0,o,n,t,25]);case 3:return r<50?zHr(r+1|0,o,n,t,25):gw(zHr,[0,o,n,t,25]);case 6:u=o,i=25;continue;case 7:return r<50?Dqr(r+1|0,o,n,t,0):gw(Dqr,[0,o,n,t,0]);case 9:return r<50?ZHr(r+1|0,o,n,t,25):gw(ZHr,[0,o,n,t,25]);case 11:return r<50?eqr(r+1|0,o,n,t,25):gw(eqr,[0,o,n,t,25]);case 19:return r<50?tqr(r+1|0,o,n,t,25):gw(tqr,[0,o,n,t,25]);case 26:return r<50?aqr(r+1|0,o,n,t,25):gw(aqr,[0,o,n,t,25]);default:return MHr()}switch(s[0]){case 0:var l=s[1];return r<50?JHr(r+1|0,o,n,t,l,25):gw(JHr,[0,o,n,t,l,25]);case 1:var v=s[1];return r<50?Qqr(r+1|0,o,n,t,v,25):gw(Qqr,[0,o,n,t,v,25]);default:var b=s[1];return r<50?Cqr(r+1|0,o,n,t,b,25):gw(Cqr,[0,o,n,t,b,25])}}return MHr()}}function JHr(r,e,n,t,a,u){var i=[0,e,u,a,n[11],n[12]],c=e_(t,n);return"number"==typeof c&&25===c?r<50?qHr(r+1|0,i,n,t):gw(qHr,[0,i,n,t]):MHr()}function ZHr(r,e,n,t,a){var u=n[11],i=n[12],c=e_(t,n),f=eYr(1,AHr([0,u,i]));return r<50?KHr(r+1|0,e,n,t,i,u,f,a,c):gw(KHr,[0,e,n,t,i,u,f,a,c])}function KHr(r,e,n,t,a,u,i,c,f){switch(c){case 16:var o=e[1],s=o[3],l=o[2],v=o[1],b=eYr(e[2],AHr([0,e[3],e[4]])),p=eYr([0,b,i],AHr([0,s,a]));return r<50?pqr(r+1|0,v,n,t,a,s,p,l,f):gw(pqr,[0,v,n,t,a,s,p,l,f]);case 17:var d=e[3],h=e[2],m=e[1],k=eYr([4,i],AHr([0,d,a]));return r<50?KHr(r+1|0,m,n,t,a,d,k,h,f):gw(KHr,[0,m,n,t,a,d,k,h,f]);case 19:var y=e[5],x=e[4],w=e[3],_=e[2],g=e[1],N=[0,x,y];try{YDr(w)}catch(u){var I=Iw(u);if(I===yLr)throw zm([0,fYr,AHr(N),Yj],1);throw zm(I,0)}var M=eYr(w,AHr([0,x,y])),T=AHr([0,x,a]),A=AHr([0,x,y]),B=eYr([0,eYr([1,M[2]],A),i],T);return r<50?_qr(r+1|0,g,n,t,B,_,f):gw(_qr,[0,g,n,t,B,_,f]);case 23:case 35:return r<50?Sqr(r+1|0,e,n,t,a,u,i,c,f):gw(Sqr,[0,e,n,t,a,u,i,c,f]);case 24:var W=e[5],U=e[4],R=e[3],Q=e[2],C=e[1],F=[0,U,W];try{YDr(R)}catch(u){var L=Iw(u);if(L===yLr)throw zm([0,fYr,AHr(F),Dj],1);throw zm(L,0)}var D=eYr(R,AHr([0,U,W])),S=eYr([0,[0,D],i],AHr([0,U,a]));return r<50?Eqr(r+1|0,C,n,t,S,Q,f):gw(Eqr,[0,C,n,t,S,Q,f]);case 25:case 33:return r<50?ezr(r+1|0,e,n,t,a,u,i,c,f):gw(ezr,[0,e,n,t,a,u,i,c,f]);case 26:var E=e[3],P=e[2],j=e[1],Y=eYr([3,i],AHr([0,E,a]));return r<50?KHr(r+1|0,j,n,t,a,E,Y,P,f):gw(KHr,[0,j,n,t,a,E,Y,P,f]);case 31:var H=e[4],q=e[2],z=e[1],X=e[3],O=[0,H,e[5]],$=AHr([0,H,a]),G=AHr(O),V=eYr([0,eYr([0,BDr(X)],G),i],$);return r<50?_qr(r+1|0,z,n,t,V,q,f):gw(_qr,[0,z,n,t,V,q,f]);case 32:var J=e[5],Z=e[4],K=e[2],rr=e[1],er=eYr(e[3],AHr([0,Z,J])),nr=AHr([0,Z,a]),tr=AHr([0,Z,J]),ar=eYr([0,eYr([1,er[2]],tr),i],nr);return r<50?_qr(r+1|0,rr,n,t,ar,K,f):gw(_qr,[0,rr,n,t,ar,K,f]);case 34:var ur=e[4],ir=e[2],cr=e[1],fr=eYr(e[3],AHr([0,ur,e[5]])),or=eYr([0,[0,fr],i],AHr([0,ur,a]));return r<50?Eqr(r+1|0,cr,n,t,or,ir,f):gw(Eqr,[0,cr,n,t,or,ir,f]);case 50:case 51:return r<50?rqr(r+1|0,e,n,t,a,u,i,c,f):gw(rqr,[0,e,n,t,a,u,i,c,f]);default:return WHr()}}function rqr(r,e,n,t,a,u,i,c,f){if("number"==typeof f){if(5===f){var o=[0,i,0];return r<50?iqr(r+1|0,e,n,t,o,c):gw(iqr,[0,e,n,t,o,c])}if(24===f){var s=[0,e,c,i,u,a],l=e_(t,n);if("number"==typeof l)switch(l){case 0:return r<50?jHr(r+1|0,s,n,t,51):gw(jHr,[0,s,n,t,51]);case 1:return r<50?YHr(r+1|0,s,n,t,51):gw(YHr,[0,s,n,t,51]);case 3:return r<50?zHr(r+1|0,s,n,t,51):gw(zHr,[0,s,n,t,51]);case 5:return r<50?uqr(r+1|0,s,n,t,0):gw(uqr,[0,s,n,t,0]);case 6:return r<50?VHr(r+1|0,s,n,t,51):gw(VHr,[0,s,n,t,51]);case 9:return r<50?ZHr(r+1|0,s,n,t,51):gw(ZHr,[0,s,n,t,51]);case 11:return r<50?eqr(r+1|0,s,n,t,51):gw(eqr,[0,s,n,t,51]);case 19:return r<50?tqr(r+1|0,s,n,t,51):gw(tqr,[0,s,n,t,51]);case 26:return r<50?aqr(r+1|0,s,n,t,51):gw(aqr,[0,s,n,t,51])}else if(2===l[0]){var v=l[1];return r<50?nqr(r+1|0,s,n,t,v,51):gw(nqr,[0,s,n,t,v,51])}return MHr()}}return MHr()}function eqr(r,e,n,t,a){for(var u=e,i=a;;){var c=[0,u,i,n[11]],f=26,o=e_(t,n);if("number"==typeof o)switch(o){case 0:return r<50?jHr(r+1|0,c,n,t,f):gw(jHr,[0,c,n,t,f]);case 1:return r<50?YHr(r+1|0,c,n,t,f):gw(YHr,[0,c,n,t,f]);case 3:return r<50?zHr(r+1|0,c,n,t,f):gw(zHr,[0,c,n,t,f]);case 6:return r<50?VHr(r+1|0,c,n,t,f):gw(VHr,[0,c,n,t,f]);case 9:return r<50?ZHr(r+1|0,c,n,t,f):gw(ZHr,[0,c,n,t,f]);case 11:u=c,i=f;continue;case 19:return r<50?tqr(r+1|0,c,n,t,f):gw(tqr,[0,c,n,t,f]);case 26:return r<50?aqr(r+1|0,c,n,t,f):gw(aqr,[0,c,n,t,f])}else if(2===o[0]){var s=o[1];return r<50?nqr(r+1|0,c,n,t,s,f):gw(nqr,[0,c,n,t,s,f])}return MHr()}}function nqr(r,e,n,t,a,u){var i=n[11],c=n[12],f=e_(t,n),o=BHr(c,i,a);return r<50?KHr(r+1|0,e,n,t,c,i,o,u,f):gw(KHr,[0,e,n,t,c,i,o,u,f])}function tqr(r,e,n,t,a){var u=[0,e,a,n[11]],i=e_(t,n);return"number"==typeof i&&16===i?r<50?$Hr(r+1|0,u,n,t,27):gw($Hr,[0,u,n,t,27]):MHr()}function aqr(r,e,n,t,a){var u=n[11],i=n[12],c=e_(t,n),f=eYr(0,AHr([0,u,i]));return r<50?KHr(r+1|0,e,n,t,i,u,f,a,c):gw(KHr,[0,e,n,t,i,u,f,a,c])}function uqr(r,e,n,t,a){var u=e[2],i=e[1],c=[0,e[3],a];return r<50?iqr(r+1|0,i,n,t,c,u):gw(iqr,[0,i,n,t,c,u])}function iqr(r,e,n,t,a,u){return 50===u?r<50?cqr(r+1|0,e,n,t,a):gw(cqr,[0,e,n,t,a]):51===u?r<50?uqr(r+1|0,e,n,t,a):gw(uqr,[0,e,n,t,a]):WHr()}function cqr(r,e,n,t,a){var u=n[12],i=e_(t,n),c=[0,e[1],a];if("number"==typeof i)switch(i){case 4:case 22:return r<50?fqr(r+1|0,c,n,t,u,0,i):gw(fqr,[0,c,n,t,u,0,i])}else if(0===i[0]){var f=i[1],o=n[12],s=n[11],l=e_(t,n),v=[0,s,o];try{YDr(f)}catch(i){var b=Iw(i);if(b===yLr)throw zm([0,fYr,AHr(v),Sj],1);throw zm(b,0)}var p=[0,f];return r<50?fqr(r+1|0,c,n,t,o,p,l):gw(fqr,[0,c,n,t,o,p,l])}return MHr()}function fqr(r,e,n,t,a,u,i){var c=e[1],f=c[1],o=f[5],s=f[4],l=f[2],v=f[1],b=e[2],p=c[3],d=eYr(f[3],AHr([0,s,o])),h=[0,s,o],m=[0,s,a];if(d[2]!==Ka){var k=d[2];throw zm([0,fYr,AHr(h),k],1)}var y=eYr([0,p,b,u],AHr(m));if("number"==typeof i){if(4===i){var x=n[12],w=[0,[0,v,l,y,s,a],x],_=e_(t,n);if("number"==typeof _){if(22===_)return function(r,e,n,t){return _w(RHr(0,r,e,n,t))}(w,n,x,0)}else if(2===_[0]){var g=_[1];return r<50?oqr(r+1|0,w,n,t,g,52):gw(oqr,[0,w,n,t,g,52])}return MHr()}if(22===i)return function(r,e,n,t,a,u){return _w(QHr(0,r,e,n,t,a,u))}(v,n,a,s,[0,y,0],l)}return MHr()}function oqr(r,e,n,t,a,u){var i=[0,e,u,a,n[11],n[12]],c=e_(t,n);if("number"==typeof c){if(26===c)return r<50?bqr(r+1|0,i,n,t,47):gw(bqr,[0,i,n,t,47])}else if(0===c[0]){var f=c[1];return r<50?sqr(r+1|0,i,n,t,f,47):gw(sqr,[0,i,n,t,f,47])}return MHr()}function sqr(r,e,n,t,a,u){var i=n[11],c=n[12],f=e_(t,n),o=[0,i,c];try{YDr(a)}catch(u){var s=Iw(u);if(s===yLr)throw zm([0,fYr,AHr(o),jj],1);throw zm(s,0)}var l=[1,a];return r<50?lqr(r+1|0,e,n,t,l,u,f):gw(lqr,[0,e,n,t,l,u,f])}function lqr(r,e,n,t,a,u,i){if(47<=u)switch(u-47|0){case 0:if("number"==typeof i&&13<=i)switch(i-13|0){case 0:var c=[0,e,u,a],f=e_(t,n);if("number"==typeof f){if(26===f)return r<50?bqr(r+1|0,c,n,t,48):gw(bqr,[0,c,n,t,48])}else if(0===f[0]){var o=f[1];return r<50?sqr(r+1|0,c,n,t,o,48):gw(sqr,[0,c,n,t,o,48])}return MHr();case 1:var s=e_(t,n),l=[0,[0,0,a]];return r<50?vqr(r+1|0,e,n,t,l,u,s):gw(vqr,[0,e,n,t,l,u,s]);case 7:var v=[0,e,u,a],b=e_(t,n);if("number"==typeof b){if(26===b)return r<50?bqr(r+1|0,v,n,t,49):gw(bqr,[0,v,n,t,49])}else if(0===b[0]){var p=b[1];return r<50?sqr(r+1|0,v,n,t,p,49):gw(sqr,[0,v,n,t,p,49])}return MHr();case 12:var d=e_(t,n),h=[0,[0,1,a]];return r<50?vqr(r+1|0,e,n,t,h,u,d):gw(vqr,[0,e,n,t,h,u,d])}return MHr();case 1:if("number"==typeof i&&25===i){var m=e_(t,n),k=e[2],y=e[1],x=[1,[0,0,e[3],a]];return r<50?vqr(r+1|0,y,n,t,x,k,m):gw(vqr,[0,y,n,t,x,k,m])}return MHr();case 2:if("number"==typeof i&&25===i){var w=e_(t,n),_=e[2],g=e[1],N=[1,[0,1,e[3],a]];return r<50?vqr(r+1|0,g,n,t,N,_,w):gw(vqr,[0,g,n,t,N,_,w])}return MHr()}return WHr()}function vqr(r,e,n,t,a,u,i){if("number"==typeof i&&16===i){var c=[0,[0,e,u,a],n[11]],f=e_(t,n);if("number"==typeof f)switch(f){case 0:return r<50?jHr(r+1|0,c,n,t,50):gw(jHr,[0,c,n,t,50]);case 1:return r<50?YHr(r+1|0,c,n,t,50):gw(YHr,[0,c,n,t,50]);case 3:return r<50?zHr(r+1|0,c,n,t,50):gw(zHr,[0,c,n,t,50]);case 5:return r<50?cqr(r+1|0,c,n,t,0):gw(cqr,[0,c,n,t,0]);case 6:return r<50?VHr(r+1|0,c,n,t,50):gw(VHr,[0,c,n,t,50]);case 9:return r<50?ZHr(r+1|0,c,n,t,50):gw(ZHr,[0,c,n,t,50]);case 11:return r<50?eqr(r+1|0,c,n,t,50):gw(eqr,[0,c,n,t,50]);case 19:return r<50?tqr(r+1|0,c,n,t,50):gw(tqr,[0,c,n,t,50]);case 26:return r<50?aqr(r+1|0,c,n,t,50):gw(aqr,[0,c,n,t,50])}else if(2===f[0]){var o=f[1];return r<50?nqr(r+1|0,c,n,t,o,50):gw(nqr,[0,c,n,t,o,50])}return MHr()}return MHr()}function bqr(r,e,n,t,a){var u=e_(t,n);if("number"!=typeof u&&0===u[0]){var i=u[1],c=e_(t,n),f=[0,i];return r<50?lqr(r+1|0,e,n,t,f,a,c):gw(lqr,[0,e,n,t,f,a,c])}return MHr()}function pqr(r,e,n,t,a,u,i,c,f){if(15===c)return r<50?mqr(r+1|0,e,n,t,a,u,i,c,f):gw(mqr,[0,e,n,t,a,u,i,c,f]);if(44<=c)switch(c-44|0){case 0:case 9:return r<50?mqr(r+1|0,e,n,t,a,u,i,c,f):gw(mqr,[0,e,n,t,a,u,i,c,f]);case 1:var o=[0,e,c,i,u,a];if("number"==typeof f&&4===f){var s=n[12],l=[0,o,s],v=e_(t,n);r:{if("number"==typeof v)switch(v){case 2:return r<50?PHr(r+1|0,l,n,t,53):gw(PHr,[0,l,n,t,53]);case 18:return r<50?dqr(r+1|0,l,n,t,53):gw(dqr,[0,l,n,t,53]);case 22:break;default:break r}else if(2!==v[0])break r;return r<50?hqr(r+1|0,l,n,t,s,0,v):gw(hqr,[0,l,n,t,s,0,v])}return MHr()}return MHr()}return WHr()}function dqr(r,e,n,t,a){var u=n[11],i=e_(t,n);if("number"!=typeof i&&0===i[0]){var c=i[1],f=n[12],o=n[11],s=e_(t,n),l=[0,o,f];try{YDr(c)}catch(f){var v=Iw(f);if(v===yLr)throw zm([0,fYr,AHr(l),Hj],1);throw zm(v,0)}var b=eYr([1,c,[0,qj]],AHr([0,u,f]));return r<50?pqr(r+1|0,e,n,t,f,u,b,a,s):gw(pqr,[0,e,n,t,f,u,b,a,s])}return MHr()}function hqr(r,e,n,t,a,u,i){var c=e[1],f=[0,c[1],c[2],[0,c[3],u],c[4],a];if("number"==typeof i){if(22===i)return UHr(f,n,a,a,0)}else if(2===i[0]){var o=i[1];return r<50?oqr(r+1|0,f,n,t,o,46):gw(oqr,[0,f,n,t,o,46])}return MHr()}function mqr(r,e,n,t,a,u,i,c,f){r:{if("number"==typeof f)switch(f){case 4:var o=n[12],s=[0,[0,e,c,i,u,a],o],l=e_(t,n);e:{if("number"==typeof l)switch(l){case 2:return r<50?PHr(r+1|0,s,n,t,44):gw(PHr,[0,s,n,t,44]);case 18:return r<50?dqr(r+1|0,s,n,t,44):gw(dqr,[0,s,n,t,44]);case 3:case 22:break;default:break e}else if(2!==l[0])break e;return r<50?kqr(r+1|0,s,n,t,o,0,l):gw(kqr,[0,s,n,t,o,0,l])}return MHr();case 3:case 22:break;default:break r}else if(2!==f[0])break r;var v=[0,i,0];return r<50?yqr(r+1|0,e,n,t,a,u,v,c,f):gw(yqr,[0,e,n,t,a,u,v,c,f])}return MHr()}function kqr(r,e,n,t,a,u,i){var c=e[1],f=c[4],o=c[2],s=c[1],l=[0,c[3],u];return r<50?yqr(r+1|0,s,n,t,a,f,l,o,i):gw(yqr,[0,s,n,t,a,f,l,o,i])}function yqr(r,e,n,t,a,u,i,c,f){return 15===c?r<50?xqr(r+1|0,e,n,t,a,u,i,c,f):gw(xqr,[0,e,n,t,a,u,i,c,f]):44===c?r<50?kqr(r+1|0,e,n,t,a,i,f):gw(kqr,[0,e,n,t,a,i,f]):53<=c?r<50?hqr(r+1|0,e,n,t,a,i,f):gw(hqr,[0,e,n,t,a,i,f]):WHr()}function xqr(r,e,n,t,a,u,i,c,f){var o=[0,e,c,i,u,a];if("number"==typeof f){if(3===f){var s=[0,o,n[11]],l=e_(t,n);if("number"==typeof l){if(25===l){return r<50?wqr(r+1|0,s,n,t,0,l):gw(wqr,[0,s,n,t,0,l])}}else if(2===l[0]){var v=n[11],b=n[12],p=e_(t,n);AHr([0,v,b]);return r<50?wqr(r+1|0,s,n,t,0,p):gw(wqr,[0,s,n,t,0,p])}return MHr()}if(22===f)return CHr(o,n,a,a,0,f)}return MHr()}function wqr(r,e,n,t,a,u){var i=[0,e,a];if("number"==typeof u&&25===u){var c=e_(t,n);if("number"==typeof c)switch(c){case 16:return r<50?$Hr(r+1|0,i,n,t,39):gw($Hr,[0,i,n,t,39]);case 17:return r<50?XHr(r+1|0,i,n,t,39):gw(XHr,[0,i,n,t,39])}else if(2===c[0]){var f=n[12],o=[0,i,39,c[1],n[11],f],s=e_(t,n);if("number"==typeof s){if(4===s)return SHr(o,n,t,40);if(22===s)return DHr(o,n,f,s)}return MHr()}return MHr()}return MHr()}function _qr(r,e,n,t,a,u,i){if(26<=u){if(33===u)return r<50?Uqr(r+1|0,e,n,t,a,u,i):gw(Uqr,[0,e,n,t,a,u,i]);if(38===u)return r<50?gqr(r+1|0,e,n,t,a,u,i):gw(gqr,[0,e,n,t,a,u,i])}else{if(18===u)return r<50?gqr(r+1|0,e,n,t,a,u,i):gw(gqr,[0,e,n,t,a,u,i]);if(25<=u)return r<50?Uqr(r+1|0,e,n,t,a,u,i):gw(Uqr,[0,e,n,t,a,u,i])}return WHr()}function gqr(r,e,n,t,a,u,i){if("number"==typeof i){if(4===i){var c=[0,[0,e,u,a],n[12]],f=e_(t,n);if("number"!=typeof f)switch(f[0]){case 0:var o=f[1];return r<50?HHr(r+1|0,c,n,t,o,38):gw(HHr,[0,c,n,t,o,38]);case 1:var s=f[1];return r<50?Nqr(r+1|0,c,n,t,s,38):gw(Nqr,[0,c,n,t,s,38]);default:var l=f[1];return r<50?Mqr(r+1|0,c,n,t,l,38):gw(Mqr,[0,c,n,t,l,38])}if(7!==f)return MHr();return r<50?Aqr(r+1|0,c,n,t,0):gw(Aqr,[0,c,n,t,0])}if(7===i){var v=[0,a,0];return r<50?Bqr(r+1|0,e,n,t,v,u):gw(Bqr,[0,e,n,t,v,u])}}return MHr()}function Nqr(r,e,n,t,a,u){var i=n[11],c=n[12],f=e_(t,n);if("number"==typeof f){var o=f-4|0;if(3>>0){if(21===o){var s=[0,e,u,a,i,c];return r<50?Iqr(r+1|0,s,n,t):gw(Iqr,[0,s,n,t])}}else if(1>>0){var l=AHr([0,i,c]),v=eYr(Qj,nYr),b=AHr([0,i,c]),p=eYr([0,eYr([0,BDr(a)],b),v],l);return r<50?gqr(r+1|0,e,n,t,p,u,f):gw(gqr,[0,e,n,t,p,u,f])}}return MHr()}function Iqr(r,e,n,t){var a=31,u=e_(t,n);if("number"==typeof u)switch(u){case 0:return r<50?jHr(r+1|0,e,n,t,a):gw(jHr,[0,e,n,t,a]);case 1:return r<50?YHr(r+1|0,e,n,t,a):gw(YHr,[0,e,n,t,a]);case 3:return r<50?zHr(r+1|0,e,n,t,a):gw(zHr,[0,e,n,t,a]);case 6:return r<50?VHr(r+1|0,e,n,t,a):gw(VHr,[0,e,n,t,a]);case 9:return r<50?ZHr(r+1|0,e,n,t,a):gw(ZHr,[0,e,n,t,a]);case 11:return r<50?eqr(r+1|0,e,n,t,a):gw(eqr,[0,e,n,t,a]);case 19:return r<50?tqr(r+1|0,e,n,t,a):gw(tqr,[0,e,n,t,a]);case 26:return r<50?aqr(r+1|0,e,n,t,a):gw(aqr,[0,e,n,t,a])}else if(2===u[0]){var i=u[1];return r<50?nqr(r+1|0,e,n,t,i,a):gw(nqr,[0,e,n,t,i,a])}return MHr()}function Mqr(r,e,n,t,a,u){var i=n[11],c=n[12],f=e_(t,n);if("number"==typeof f){var o=f-4|0;if(3>>0){if(21===o){var s=[0,e,u,a,i,c];return r<50?Tqr(r+1|0,s,n,t):gw(Tqr,[0,s,n,t])}}else if(1>>0){var l=eYr(a,AHr([0,i,c])),v=AHr([0,i,c]),b=eYr(Lj,nYr),p=AHr([0,i,c]),d=eYr([0,eYr([1,l[2]],p),b],v);return r<50?gqr(r+1|0,e,n,t,d,u,f):gw(gqr,[0,e,n,t,d,u,f])}}return MHr()}function Tqr(r,e,n,t){var a=32,u=e_(t,n);if("number"==typeof u)switch(u){case 0:return r<50?jHr(r+1|0,e,n,t,a):gw(jHr,[0,e,n,t,a]);case 1:return r<50?YHr(r+1|0,e,n,t,a):gw(YHr,[0,e,n,t,a]);case 3:return r<50?zHr(r+1|0,e,n,t,a):gw(zHr,[0,e,n,t,a]);case 6:return r<50?VHr(r+1|0,e,n,t,a):gw(VHr,[0,e,n,t,a]);case 9:return r<50?ZHr(r+1|0,e,n,t,a):gw(ZHr,[0,e,n,t,a]);case 11:return r<50?eqr(r+1|0,e,n,t,a):gw(eqr,[0,e,n,t,a]);case 19:return r<50?tqr(r+1|0,e,n,t,a):gw(tqr,[0,e,n,t,a]);case 26:return r<50?aqr(r+1|0,e,n,t,a):gw(aqr,[0,e,n,t,a])}else if(2===u[0]){var i=u[1];return r<50?nqr(r+1|0,e,n,t,i,a):gw(nqr,[0,e,n,t,i,a])}return MHr()}function Aqr(r,e,n,t,a){var u=e[1],i=u[2],c=u[1],f=[0,u[3],a];return r<50?Bqr(r+1|0,c,n,t,f,i):gw(Bqr,[0,c,n,t,f,i])}function Bqr(r,e,n,t,a,u){return 18===u?r<50?Wqr(r+1|0,e,n,t,a):gw(Wqr,[0,e,n,t,a]):38===u?r<50?Aqr(r+1|0,e,n,t,a):gw(Aqr,[0,e,n,t,a]):WHr()}function Wqr(r,e,n,t,a){var u=n[12],i=e_(t,n),c=e[1],f=c[3],o=c[2],s=c[1],l=eYr([6,a],AHr([0,f,u]));return r<50?KHr(r+1|0,s,n,t,u,f,l,o,i):gw(KHr,[0,s,n,t,u,f,l,o,i])}function Uqr(r,e,n,t,a,u,i){function c(r){return a}return r<50?Rqr(r+1|0,e,n,t,c,u,i):gw(Rqr,[0,e,n,t,c,u,i])}function Rqr(r,e,n,t,a,u,i){if("number"==typeof i){if(4===i){var c=[0,[0,e,u,a],n[12]],f=e_(t,n);if("number"==typeof f)switch(f){case 0:return r<50?jHr(r+1|0,c,n,t,33):gw(jHr,[0,c,n,t,33]);case 1:return r<50?YHr(r+1|0,c,n,t,33):gw(YHr,[0,c,n,t,33]);case 3:return r<50?zHr(r+1|0,c,n,t,33):gw(zHr,[0,c,n,t,33]);case 6:return r<50?VHr(r+1|0,c,n,t,33):gw(VHr,[0,c,n,t,33]);case 7:return r<50?Fqr(r+1|0,c,n,t,0):gw(Fqr,[0,c,n,t,0]);case 9:return r<50?ZHr(r+1|0,c,n,t,33):gw(ZHr,[0,c,n,t,33]);case 11:return r<50?eqr(r+1|0,c,n,t,33):gw(eqr,[0,c,n,t,33]);case 19:return r<50?tqr(r+1|0,c,n,t,33):gw(tqr,[0,c,n,t,33]);case 26:return r<50?aqr(r+1|0,c,n,t,33):gw(aqr,[0,c,n,t,33]);default:return MHr()}switch(f[0]){case 0:var o=f[1];return r<50?JHr(r+1|0,c,n,t,o,33):gw(JHr,[0,c,n,t,o,33]);case 1:var s=f[1];return r<50?Qqr(r+1|0,c,n,t,s,33):gw(Qqr,[0,c,n,t,s,33]);default:var l=f[1];return r<50?Cqr(r+1|0,c,n,t,l,33):gw(Cqr,[0,c,n,t,l,33])}}if(7===i){var v=[0,a,0];return r<50?Lqr(r+1|0,e,n,t,v,u):gw(Lqr,[0,e,n,t,v,u])}}return MHr()}function Qqr(r,e,n,t,a,u){var i=[0,e,u,a,n[11],n[12]],c=e_(t,n);return"number"==typeof c&&25===c?r<50?Iqr(r+1|0,i,n,t):gw(Iqr,[0,i,n,t]):MHr()}function Cqr(r,e,n,t,a,u){var i=n[11],c=n[12],f=e_(t,n);if("number"==typeof f){var o=f-4|0;if(3>>0){if(21===o){var s=[0,e,u,a,i,c];return r<50?Tqr(r+1|0,s,n,t):gw(Tqr,[0,s,n,t])}}else if(1>>0){var l=BHr(c,i,a);return r<50?KHr(r+1|0,e,n,t,c,i,l,u,f):gw(KHr,[0,e,n,t,c,i,l,u,f])}}return MHr()}function Fqr(r,e,n,t,a){var u=e[1],i=u[2],c=u[1],f=[0,u[3],a];return r<50?Lqr(r+1|0,c,n,t,f,i):gw(Lqr,[0,c,n,t,f,i])}function Lqr(r,e,n,t,a,u){return 25===u?r<50?Dqr(r+1|0,e,n,t,a):gw(Dqr,[0,e,n,t,a]):33===u?r<50?Fqr(r+1|0,e,n,t,a):gw(Fqr,[0,e,n,t,a]):WHr()}function Dqr(r,e,n,t,a){var u=n[12],i=e_(t,n),c=e[1];var f=function r(e,n){if(!n)return 0;var t=n[2],a=e_(n[1],e),u=a[2][1][2];switch(u[0]){case 0:var i=u[1]+1|0;break;case 1:i=zYr(u[1])+1|0;break;default:i=u[1]+1|0}return[0,a,r(i,t)]}(0,a),o=c[3],s=c[2],l=c[1],v=eYr([5,f],AHr([0,o,u]));return r<50?KHr(r+1|0,l,n,t,u,o,v,s,i):gw(KHr,[0,l,n,t,u,o,v,s,i])}function Sqr(r,e,n,t,a,u,i,c,f){var o=eYr([0,0,i],AHr([0,u,a]));return r<50?Eqr(r+1|0,e,n,t,o,c,f):gw(Eqr,[0,e,n,t,o,c,f])}function Eqr(r,e,n,t,a,u,i){if("number"==typeof i){if(5===i){var c=[0,a,0];return r<50?Yqr(r+1|0,e,n,t,c,u):gw(Yqr,[0,e,n,t,c,u])}if(24===i){var f=[0,e,u,a],o=e_(t,n);if("number"==typeof o)switch(o){case 0:return r<50?jHr(r+1|0,f,n,t,35):gw(jHr,[0,f,n,t,35]);case 1:return r<50?YHr(r+1|0,f,n,t,35):gw(YHr,[0,f,n,t,35]);case 3:return r<50?zHr(r+1|0,f,n,t,35):gw(zHr,[0,f,n,t,35]);case 5:return r<50?jqr(r+1|0,f,n,t,0):gw(jqr,[0,f,n,t,0]);case 6:return r<50?VHr(r+1|0,f,n,t,35):gw(VHr,[0,f,n,t,35]);case 9:return r<50?ZHr(r+1|0,f,n,t,35):gw(ZHr,[0,f,n,t,35]);case 11:return r<50?eqr(r+1|0,f,n,t,35):gw(eqr,[0,f,n,t,35]);case 19:return r<50?tqr(r+1|0,f,n,t,35):gw(tqr,[0,f,n,t,35]);case 26:return r<50?aqr(r+1|0,f,n,t,35):gw(aqr,[0,f,n,t,35])}else switch(o[0]){case 0:var s=o[1];return r<50?GHr(r+1|0,f,n,t,s,35):gw(GHr,[0,f,n,t,s,35]);case 2:var l=o[1];return r<50?Pqr(r+1|0,f,n,t,l,35):gw(Pqr,[0,f,n,t,l,35])}return MHr()}}return MHr()}function Pqr(r,e,n,t,a,u){var i=n[11],c=n[12],f=e_(t,n);r:if("number"==typeof f){var o=f+-24|0;if(1>>0){if(-19!==o)break r}else if(o){var s=[0,e,u,a,i,c],l=34,v=e_(t,n);if("number"==typeof v)switch(v){case 0:return r<50?jHr(r+1|0,s,n,t,l):gw(jHr,[0,s,n,t,l]);case 1:return r<50?YHr(r+1|0,s,n,t,l):gw(YHr,[0,s,n,t,l]);case 3:return r<50?zHr(r+1|0,s,n,t,l):gw(zHr,[0,s,n,t,l]);case 6:return r<50?VHr(r+1|0,s,n,t,l):gw(VHr,[0,s,n,t,l]);case 9:return r<50?ZHr(r+1|0,s,n,t,l):gw(ZHr,[0,s,n,t,l]);case 11:return r<50?eqr(r+1|0,s,n,t,l):gw(eqr,[0,s,n,t,l]);case 19:return r<50?tqr(r+1|0,s,n,t,l):gw(tqr,[0,s,n,t,l]);case 26:return r<50?aqr(r+1|0,s,n,t,l):gw(aqr,[0,s,n,t,l])}else if(2===v[0]){var b=v[1];return r<50?nqr(r+1|0,s,n,t,b,l):gw(nqr,[0,s,n,t,b,l])}return MHr()}var p=BHr(c,i,a);return r<50?KHr(r+1|0,e,n,t,c,i,p,u,f):gw(KHr,[0,e,n,t,c,i,p,u,f])}return MHr()}function jqr(r,e,n,t,a){var u=e[2],i=e[1],c=[0,e[3],a];return r<50?Yqr(r+1|0,i,n,t,c,u):gw(Yqr,[0,i,n,t,c,u])}function Yqr(r,e,n,t,a,u){return 23===u?r<50?Hqr(r+1|0,e,n,t,a):gw(Hqr,[0,e,n,t,a]):35===u?r<50?jqr(r+1|0,e,n,t,a):gw(jqr,[0,e,n,t,a]):WHr()}function Hqr(r,e,n,t,a){var u=n[12],i=e_(t,n),c=e[3],f=e[2],o=e[1],s=f-22|0;if(17>=s>>>0)switch(s){case 0:case 5:case 14:return r<50?rzr(r+1|0,o,n,t,c,a,f,i):gw(rzr,[0,o,n,t,c,a,f,i]);case 6:var l=[0,o,f,a,c];r:{if("number"==typeof i)switch(i){case 8:return r<50?qqr(r+1|0,l,n,t,29):gw(qqr,[0,l,n,t,29]);case 12:return r<50?Xqr(r+1|0,l,n,t,29):gw(Xqr,[0,l,n,t,29]);case 23:return r<50?Oqr(r+1|0,l,n,t,29):gw(Oqr,[0,l,n,t,29]);case 3:case 4:case 5:case 7:case 22:case 24:break;default:break r}else if(2!==i[0])break r;return 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c4r([0,0,r,e[3],e[4]])}}return BM("offer expects InputNeeded")}function b4r(r,e){var n=r?r[1]:tv;if("number"!=typeof e)switch(e[0]){case 1:return i4r(e[2],e[3]);case 2:return s4r(e[1],e[2]);case 3:var t=e[1];if(t[1])return n4r(t[4],0,0,function(r,e,t,a,u){if(Yy(t,0)&&Yy(a,0))return f4r(r,Ni<=n?0:e,0,a,u);throw zm([0,k_,FV],1)},function(r,e){return Ni<=n?o4r(r,e):s4r(r,e)},function(r){if(Ni<=n)return 0;var e=r[3],t=e[5];return t===e?0:[3,[0,r[1],r[2],t,e[1]]]},t);throw zm([0,k_,CV],1)}return BM("resume expects HandlingError | Shifting | AboutToReduce")}function p4r(r){for(var e=r;;){if("number"!=typeof e)switch(e[0]){case 1:return[0,e[1]];case 2:e=b4r(0,e);continue;case 3:return 0}throw zm([0,k_,LV],1)}}function d4r(r,e){return[Bl,function(n){var t=r[5];return t===r?0:[0,[0,e,r[2],r[3],r[4]],d4r(t,r[1])]}]}function h4r(r){var e=r[3];return e[5]===e?0:[0,[0,r[4],e[2],e[3],e[4]]]}function m4r(r){return 0===SZr(pg,r)?0:1}function k4r(r){var e=r[3],n=e[5];return n===e?0:[0,[0,r[1],r[2],n,e[1]]]}function y4r(r,e){for(var n=r,t=e;;){if(0===n)return[0,t];var a=k4r(t);if(!a)return 0;n=n-1|0,t=a[1]}}function x4r(r){if(Zh>>0)throw zm([0,k_,inr],1);var e=r;if(66<=e){if(99<=e)switch(e){case 99:return Ztr;case 100:return Ktr;case 101:return rar;case 102:return ear;case 103:return nar;case 104:return tar;case 105:return aar;case 106:return uar;case 107:return iar;case 108:return car;case 109:return far;case 110:return oar;case 111:return sar;case 112:return lar;case 113:return bar;case 114:return par;case 115:return dar;case 116:return har;case 117:return mar;case 118:return kar;case 119:return yar;case 120:return xar;case 121:return war;case 122:return _ar;case 123:return gar;case 124:return Nar;case 125:return Iar;case 126:return Mar;case 127:return Tar;case 128:return Aar;case 129:return Bar;default:return War}switch(e){case 66:return ytr;case 67:return xtr;case 68:return wtr;case 69:return _tr;case 70:return gtr;case 71:return Ntr;case 72:return Itr;case 73:return Mtr;case 74:return Ttr;case 75:return Atr;case 76:return Btr;case 77:return Wtr;case 78:return Utr;case 79:return Rtr;case 80:return Qtr;case 81:return Ctr;case 82:return Ftr;case 83:return Ltr;case 84:return Dtr;case 85:return Str;case 86:return Etr;case 87:return Ptr;case 88:return jtr;case 89:return Ytr;case 90:return Htr;case 91:return qtr;case 92:return ztr;case 93:return Xtr;case 94:return Otr;case 95:return $tr;case 96:return Gtr;case 97:return Vtr;default:return Jtr}}if(33<=e)switch(e){case 33:return Pnr;case 34:return jnr;case 35:return Ynr;case 36:return Hnr;case 37:return qnr;case 38:return znr;case 39:return Xnr;case 40:return Onr;case 41:return $nr;case 42:return Gnr;case 43:return Vnr;case 44:return Jnr;case 45:return Znr;case 46:return Knr;case 47:return rtr;case 48:return etr;case 49:return ntr;case 50:return ttr;case 51:return atr;case 52:return utr;case 53:return itr;case 54:return ctr;case 55:return ftr;case 56:return otr;case 57:return str;case 58:return ltr;case 59:return vtr;case 60:return btr;case 61:return ptr;case 62:return dtr;case 63:return htr;case 64:return mtr;default:return ktr}switch(e){case 0:return cnr;case 1:return fnr;case 2:return onr;case 3:return snr;case 4:return lnr;case 5:return vnr;case 6:return bnr;case 7:return pnr;case 8:return dnr;case 9:return hnr;case 10:return mnr;case 11:return knr;case 12:return ynr;case 13:return xnr;case 14:return wnr;case 15:return _nr;case 16:return gnr;case 17:return Nnr;case 18:return Inr;case 19:return Mnr;case 20:return Tnr;case 21:return Anr;case 22:return Bnr;case 23:return Wnr;case 24:return Unr;case 25:return Rnr;case 26:return Qnr;case 27:return Cnr;case 28:return Fnr;case 29:return Lnr;case 30:return Dnr;case 31:return Snr;default:return Enr}}function w4r(r){var e=r-4|0;if(vu>>0)throw zm([0,k_,lrr],1);var n=e;if(51<=n)switch(n){case 51:return oer;case 52:return ser;case 53:return ler;case 54:return ver;case 55:return ber;case 56:return per;case 57:return der;case 58:return her;case 59:return mer;case 60:return ker;case 61:return yer;case 62:return xer;case 63:return wer;case 64:return _er;case 65:return ger;case 66:return Ner;case 67:return Ier;case 68:return Mer;case 69:return Ter;case 70:return Aer;case 71:return Ber;case 72:return Wer;case 73:return Uer;case 74:return Rer;case 75:return Qer;case 76:return Cer;case 77:return Fer;case 78:return Ler;case 79:return Der;case 80:return Ser;case 81:return Eer;case 82:return Per;case 83:return jer;case 84:return Yer;case 85:return Her;case 86:return qer;case 87:return zer;case 88:return Xer;case 89:return Oer;case 90:return $er;case 91:return Ger;case 92:return Ver;case 93:return Jer;case 94:return Zer;case 95:return Ker;case 96:return rnr;case 97:return enr;case 98:return nnr;case 99:return tnr;case 100:return anr;default:return unr}switch(n){case 0:return vrr;case 1:return brr;case 2:return prr;case 3:return drr;case 4:return hrr;case 5:return mrr;case 6:return krr;case 7:return yrr;case 8:return xrr;case 9:return wrr;case 10:return _rr;case 11:return grr;case 12:return Nrr;case 13:return Irr;case 14:return Mrr;case 15:return Trr;case 16:return Arr;case 17:return Brr;case 18:return Wrr;case 19:return Urr;case 20:return Rrr;case 21:return Qrr;case 22:return Crr;case 23:return Frr;case 24:return Lrr;case 25:return Drr;case 26:return Srr;case 27:return Err;case 28:return Prr;case 29:return jrr;case 30:return Yrr;case 31:return Hrr;case 32:return qrr;case 33:return zrr;case 34:return Xrr;case 35:return Orr;case 36:return $rr;case 37:return Grr;case 38:return Vrr;case 39:return Jrr;case 40:return Zrr;case 41:return Krr;case 42:return rer;case 43:return eer;case 44:return ner;case 45:return ter;case 46:return aer;case 47:return uer;case 48:return ier;case 49:return cer;default:return fer}}function _4r(r,e){var n=r[2],t=r[1],a=SZr(n,e+1|0);return PZr(function(r){return SZr(t,r)},SZr(n,e),a)}function g4r(r){if(0>=r)throw zm([0,k_,UV],1);var e=r>>>1|0;return 1&r?w4r(e):x4r(e-1|0)}function N4r(r){var e=4+r|0;if(Yy(w4r(e),[0,[1,r]]))return e;throw zm([0,k_,WV],1)}function I4r(r){if(Yy(x4r(r),[0,[0,r]]))return r;throw zm([0,k_,BV],1)}function M4r(r,e){var n=I4r(e);return I4r(r)-n|0}function T4r(r,e){var n=N4r(e);return N4r(r)-n|0}function A4r(r){return[0,r>>>10|0,r%Ml|0]}function B4r(r){if(0!==r&&1!==r)throw zm([0,k_,AV],1);return 1===r?1:0}function W4r(r,e){var n=I4r(e);return B4r(EZr(ccr,N4r(r),n))}function U4r(r,e,n,t){for(var a=r,u=t;;){if(a===e)return u;var i=n_(n,a,u);a=a+1|0,u=i}}function R4r(r,e){return BM(cg)}function Q4r(r){return BM(cg)}function C4r(r){var e=[];return Nw(e,[0,258,0,r,r,e]),i4r([0,0,[0,0,r,r],e,258],1)}var F4r=[0,v4r,b4r,function(r,e,n){return[0,e_(r,e),e[11],e[12]]},function(r,e,n){for(var t=r,a=n;;){var u=t?t[1]:tv;if("number"==typeof a)throw zm(u4r,1);switch(a[0]){case 0:var i=e_(e,0);t=[0,u],a=v4r(a)(i);break;case 4:return a[1];default:t=[0,u],a=b4r([0,u],a)}}},function(r,e,n,t){for(var a=t;;){if("number"!=typeof a)switch(a[0]){case 0:var u=e_(n,0);a=v4r(a)(u);continue;case 4:return e_(r,a[1]);case 3:break;default:a=b4r(0,a);continue}return e_(e,a)}},function(r,e,n,t){if("number"==typeof t||0!==t[0])a=0;else var a=1;if(!a)throw zm([0,k_,SV],1);for(var u=[0,t,t];;){var i=u[2],c=u[1];if("number"!=typeof i)switch(i[0]){case 0:var f=e_(n,0);u=[0,i,v4r(i)(f)];continue;case 4:return e_(r,i[1]);case 3:break;default:u=[0,c,b4r(0,i)];continue}return n_(e,c,i)}},p4r,function(r,e,n){return p4r(v4r(r)([0,e,n,n]))?1:0},function(r){return r},function(r){return r4r(r),r},function(r){return r4r(r),r},function(r){return d4r(r[3],r[4])},h4r,y4r,function(r,e){var n=y4r(r,e);return n?h4r(n[1]):0},function(r){return r[4]},function(r,e){var n=r[3]===e[3]?1:0;return n?r[4]===e[4]?1:0:n},function(r){var e=r[2];return[0,e[2],e[3]]},function(r){return m4r(r[4])},m4r,k4r,function(r,e){var n=e[4],t=SZr(pg,n);if(0===t)for(var a=0,u=0,i=dg[1],c=function(e,t){return function(e,t){return t||n4r(n,e,0,function(r,e,n,t,a){return 0},function(e,n){return r===n?1:0},function(r){return 0},0)}(e,t)};;){if(a===i){var f=u;break}var o=c(a,u);a=a+1|0,u=o}else f=r===(t-1|0)?1:0;if(!f)return BM("force_reduction: this reduction is not permitted in this state");if(r<4)throw zm([0,k_,DV],1);var s=e_(a4r(r),e),l=t4r(s[1],r);return[0,e[1],e[2],s,l]},function(r){return[0,r]},M4r,T4r,function(r,e){var n=r[1];if(0===n[0]){var t=e[1],a=n[1];return 0===t[0]?M4r(a,t[1]):-1}var u=e[1],i=n[1];return 0===u[0]?1:T4r(i,u[1])},function(r,e){return r-e|0},function(r,e){var n=r[1]-e[1]|0,t=e[2],a=r[2];return 0===n?a-t|0:n},function(r){return g4r(SZr(acr,SZr(kg,r)))[1]},function(r){return PT(A4r,_4r(icr,SZr(kg,r)))},function(r){return w4r(SZr(hg,r))},function(r){return PT(g4r,_4r(ucr,r))},function(r){return B4r(DZr("\b\0ÿÿð@?À\0\0\0@",N4r(r)))},W4r,function(r,e){var n=r[1];return 0===n[0]?0===M4r(e,n[1])?1:0:W4r(n[1],e)},function(r,e){return U4r(0,dg[1],function(e,n){return n_(r,x4r(e),n)},e)},function(r,e){return U4r(0,dg[1],function(e,n){return 0===e?n:n_(r,x4r(e),n)},e)},function(r,e,n,t,a){if(0===r[0]){var u=I4r(r[1]),i=a[4];return n4r(i,u,n,function(r,n,a,u,c){return[0,r[1],r[2],[0,i,u,e,t,r[3]],c]},R4r,Q4r,a)}var c=N4r(r[1]),f=a[4],o=e4r(mg,f,c);if(0>o)throw zm([0,k_,IV],1);var s=0===o?0:[0,o-1|0];return s?[0,a[1],a[2],[0,f,n,e,t,a[3]],s[1]]:BM(cg)}];function L4r(r){return"number"!=typeof r&&8===r[0]?1:0}function D4r(r,e){var n=W3r(r[11]);throw zm([0,B3r,[0,n,W3r(r[12])],e],1)}function S4r(r,e,n){return e[11]=r,D4r(e,n)}function E4r(r,e){for(var n=XB(bx(e)),t=[0,1];;){if(t[1]>=(bx(e)-1|0))return OB(n);if(10===sw(e,t[1])&&kB(r),Cp<=sw(e,t[1])){var a=xr<=sw(e,t[1])?xf<=sw(e,t[1])?3:2:1;t[1]=t[1]+a|0;var u=qDr([0,UT(YDr(RA(e,t[1]-a|0,1+a|0))),0])}else if(92===sw(e,t[1])){t[1]++;var i=sw(e,t[1]);r:{e:if(40<=i){if(Wp<=i){if(Pl>i){switch(i+-110|0){case 0:var c=qDr(Cor);break;case 4:c=qDr(For);break;case 6:c=qDr(Lor);break;case 7:var f=t[1]+2|0;t[1]=PA(e,f,ha);try{var o=Ix(ci+RA(e,f,t[1]-f|0));if(!(0<=o&&gp>o||$n<=o&&$d>o))throw zm([0,l_,Dor],1);var s=o}catch(o){var l=Iw(o);if(l[1]!==l_)throw zm(l,0);s=D4r(r,Sor)}c=qDr([0,s,0]);break;default:break e}var v=c;break r}}else if(92===i){v=qDr(Eor);break r}}else{if(34===i){v=qDr(jor);break r}if(39<=i){v=qDr(Por);break r}}t[1]++;var b=WA(1,sw(e,t[1]));let n=NT(Ix(ci+WA(1,i)+b));v=$A(function(r){return[0,n,oT]})}u=v}else u=qDr([0,sw(e,t[1]),0]);t[1]++,ZB(n,u,0,bx(u))}}function P4r(r,e,n){for(;;){for(var t=rm;;){var a=pB(yg,t,n);if(5>=a>>>0)break;e_(n[1],n),t=a}switch(a){case 0:return KB(r,mB(n,n[5],n[5]+2|0));case 1:KB(r,mB(n,n[5],n[5]+2|0)),P4r(r,n[11],n);break;case 2:var u=Ik(n[2],n[5]);kB(n),JB(r,u);break;case 3:return S4r(e,n,Ror);case 4:KB(r,mB(n,n[5],n[6]));break;default:return D4r(n,Qor)}}}function j4r(r){return[0,r,[32,[0,r,HNr,ag],0,[0,0,0]],ag]}var 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Mr],p8r=[0,oMr,b8r],d8r=[0,[2,L6r],sMr],h8r=[0,[0,5],d8r],m8r=[0,[2,F6r],lMr],k8r=[0,vMr,m8r],y8r=[0,[2,F6r],bMr],x8r=[0,pMr,y8r],w8r=[0,[2,L6r],dMr],_8r=[0,[0,5],w8r],g8r=[0,[2,F6r],hMr],N8r=[0,mMr,g8r],I8r=[0,[2,F6r],kMr],M8r=[0,yMr,I8r],T8r=[0,[2,L6r],xMr],A8r=[0,[0,5],T8r],B8r=[0,[2,F6r],[0,[0,28],0]],W8r=[0,wMr,nN],U8r=[0,[1,[0,74]],W8r],R8r=[0,[2,a6r],[0,[0,19],0]],Q8r=[0,[2,zg],_Mr],C8r=[0,[0,5],Q8r],F8r=[0,[2,_g],gMr],L8r=[0,[2,F8r],NMr],D8r=[0,[2,zg],IMr],S8r=[0,[2,A6r],[0,[0,22],0]],E8r=[0,[0,5],S8r],P8r=[0,[2,zg],MMr],j8r=[0,[1,[0,34]],P8r],Y8r=[0,[1,[1,90]],j8r],H8r=[0,[1,[0,78]],Y8r],q8r=[0,[2,a6r],H8r],z8r=[0,[1,[0,74]],o8r],X8r=[0,[2,A6r],[0,[0,25],0]],O8r=[0,[0,5],X8r],$8r=[0,[2,T6r],O8r],G8r=[0,[1,[0,88]],$8r],V8r=[0,TMr,G8r],J8r=[0,[2,L6r],AMr],Z8r=[0,[0,5],J8r],K8r=[0,[2,T6r],Z8r],r9r=[0,BMr,K8r],e9r=[0,[2,L6r],WMr],n9r=[0,[0,5],e9r],t9r=[0,[2,T6r],n9r],a9r=[0,[2,L6r],UMr],u9r=[0,[0,5],a9r],i9r=[0,[2,T6r],u9r],c9r=[0,[2,L6r],RMr],f9r=[0,[0,5],c9r],o9r=[0,[2,T6r],f9r],s9r=[0,[2,L6r],QMr],l9r=[0,[0,5],s9r],v9r=[0,[2,T6r],l9r],b9r=[0,[2,L6r],CMr],p9r=[0,[0,5],b9r],d9r=[0,[2,zg],FMr],h9r=[0,[0,5],d9r],m9r=[0,[2,zg],LMr],k9r=[0,[2,zg],DMr],y9r=[0,[1,[0,34]],k9r],x9r=[0,[1,[1,90]],y9r],w9r=[0,[1,[0,78]],x9r],_9r=[0,[2,a6r],w9r],g9r=[0,[2,F6r],SMr],N9r=[0,EMr,g9r],I9r=[0,[2,L6r],PMr],M9r=[0,[0,5],I9r],T9r=[0,[2,F6r],jMr],A9r=[0,YMr,T9r],B9r=[0,[2,c6r],[0,[0,71],0]],W9r=[0,[2,zg],HMr],U9r=[0,qMr,W9r],R9r=[0,[1,[0,34]],U9r],Q9r=[0,zMr,R9r],C9r=[0,[2,L6r],XMr],F9r=[0,[0,5],C9r],L9r=[0,[2,T6r],F9r],D9r=[0,OMr,L9r],S9r=[0,$Mr,D9r],E9r=[0,[2,L6r],GMr],P9r=[0,[0,5],E9r],j9r=[0,[2,T6r],P9r],Y9r=[0,[2,L6r],VMr],H9r=[0,[0,5],Y9r],q9r=[0,[2,T6r],H9r],z9r=[0,[2,L6r],JMr],X9r=[0,[0,5],z9r],O9r=[0,[2,T6r],X9r],$9r=[0,[2,L6r],ZMr],G9r=[0,[0,5],$9r],V9r=[0,[2,T6r],G9r],J9r=[0,KMr,V9r],Z9r=[0,[2,L6r],rTr],K9r=[0,[0,5],Z9r],r7r=[0,[2,T6r],K9r],e7r=[0,eTr,o9r],n7r=[0,nTr,e7r],t7r=[0,[2,zg],tTr],a7r=[0,aTr,t7r],u7r=[0,[1,[0,34]],a7r],i7r=[0,uTr,u7r],c7r=[0,[2,hN],iTr],f7r=[0,[2,zg],[0,[0,9],0]],o7r=[0,[1,[0,83]],[0,[2,wN],[0,cTr,TN]]],s7r=[0,[2,Hg],fTr],l7r=[0,[2,Hg],[0,oTr,c7r]],v7r=[0,[1,[0,34]],l7r],b7r=[0,sTr,v7r],p7r=[0,lTr,AN],d7r=[0,vTr,p7r],h7r=[0,bTr,UN],m7r=[0,[1,[0,74]],h7r],k7r=[0,pTr,m7r],y7r=[0,dTr,k7r],x7r=[0,[2,V4r],hTr],w7r=[0,[1,[0,95]],x7r],_7r=[0,[2,V4r],mTr],g7r=[0,[1,[0,95]],_7r],N7r=[0,[1,[0,86]],g7r],I7r=[0,kTr,QN],M7r=[0,[1,[0,74]],I7r],T7r=[0,yTr,M7r],A7r=[0,[1,[0,40]],T7r],B7r=[0,[2,V4r],xTr],W7r=[0,wTr,B7r],U7r=[0,[2,V4r],_Tr],R7r=[0,gTr,U7r],Q7r=[0,[2,V4r],NTr],C7r=[0,[1,[0,40]],LN],F7r=[0,ITr,C7r],L7r=[0,[1,[0,74]],F7r],D7r=[0,MTr,L7r],S7r=[0,[1,[0,40]],D7r],E7r=[0,TTr,S7r],P7r=[0,[2,V4r],ATr],j7r=[0,BTr,P7r],Y7r=[0,[2,V4r],WTr],H7r=[0,UTr,Y7r],q7r=[0,[2,V4r],RTr],z7r=[0,QTr,q7r],X7r=[0,[2,V4r],CTr],O7r=[0,FTr,X7r],$7r=wo+dt,G7r="let x : Int = 0",V7r="public "+G7r,J7r="case x {}",Z7r=fu+Vu+$7r,K7r=QA(jAr,[0,"{",[0,dM,[0,$7r,PAr]]]),rre=QA(qAr,[0,HAr,[0,"X",[0,YAr,[0,hM,0]]]]),ere=QA(XAr,[0,zAr,[0,dM,[0,$7r,0]]]),nre=QA($Ar,[0,OAr,[0,dM,[0,$7r,0]]]),tre=yd+Ue+dt;function are(r,e){return[0,"seplist("+r[1]+nm+e[1]+fs,r[2]]}function ure(r){var e=r[1];if(0!==e[0]){var n=e[1];if(51<=n)switch(n){case 51:return[0,"",tM];case 52:return[0,"",tM];case 53:return[0,"",tM];case 54:return[0,"?",kM];case 55:return mAr;case 56:return kAr;case 57:return[0,"?",pM];case 58:return[0,"?",pM];case 59:return yAr;case 60:return[0,"","object x = {}"];case 61:return xAr;case 62:return[0,"",K7r];case 63:return wAr;case 64:return[0,_Ar,tre];case 65:return gAr;case 66:return[0,"(, )*",", X"];case 67:return[0,"(, )*",Ei+dt];case 68:return[0,"",Tr+dt+Is];case 69:return[0,"",mM];case 70:return[0,NAr,mM];case 71:return IAr;case 72:return MAr;case 73:return[0,"",pM];case 74:return[0,"",pM];case 75:return[0,"",pM];case 76:return[0,"",pM];case 77:return TAr;case 78:return[0,"",K7r];case 79:return[0,AAr,pM];case 80:return[0,"",pM];case 81:return[0,BAr,pM];case 82:return[0,"",pM];case 83:return[0,"",pM];case 84:return[0,"",pM];case 85:return[0,"",pM];case 86:return[0,WAr,Z7r];case 87:return[0,"",pM];case 88:return[0,"",pM];case 89:return[0,UAr,pM];case 90:return[0,RAr,pM];case 91:return[0,"",pM];case 92:return QAr;case 93:return[0,"",G7r];case 94:return[0,CAr,V7r];case 95:return[0,FAr,G7r];case 96:return LAr;case 97:return[0,"","catch x {}"];case 98:return[0,DAr,J7r];case 99:return SAr;case 100:return EAr;default:return[0,"",$7r]}switch(n){case 0:return jTr;case 1:return[0,"","{ #t }"];case 2:return[0,"",hM];case 3:return[0,YTr,yM];case 4:return[0,"",hM];case 5:return HTr;case 6:return qTr;case 7:return[0,"",hM];case 8:return[0,"",hM];case 9:return[0,zTr,hM];case 10:return[0,"",rre];case 11:return[0,XTr,rre];case 12:return[0,OTr,"X"];case 13:return[0,"",kM];case 14:return[0,$Tr,hM];case 15:return[0,"",tM];case 16:return[0,"",ere];case 17:return GTr;case 18:return[0,"seplist1(,)",yM];case 19:return[0,"seplist1(,)",Z7r];case 20:return are([0,VTr,yM],xM);case 21:return are([0,JTr,hM],_M);case 22:return are([0,ZTr,rre],xM);case 23:return are([0,KTr,rre],xM);case 24:return are([0,rAr,"X"],_M);case 25:return are([0,eAr,hM],_M);case 26:return are([0,nAr,ere],xM);case 27:return are([0,tAr,nre],xM);case 28:return are([0,",and)",pM];case 41:return[0,"",nre];case 42:return dAr;case 43:return[0,"",dM];case 44:return[0,"",dM];case 45:return[0,"",dM];case 46:return[0,"",dM];case 47:return[0,"","x x"];case 48:return[0,hAr,dM];case 49:return[0,"",dM];default:return[0,"",tM]}}var t=e[1];if(66<=t){if(99<=t)switch(t){case 99:return[0,LI,LI];case 100:return[0,"do","do"];case 101:case 126:return[0,bM,vM];case 102:case 113:case 127:return[0,oM,fM];case 103:return[0,DI,DI];case 104:return[0,SI,SI];case 105:return[0,EI,EI];case 106:return[0,PI,PI];case 107:return[0,jI,jI];case 108:return[0,YI,YI];case 109:return[0,HI,HI];case 110:return[0,qI,qI];case 111:return PTr;case 112:return[0,zI,zI];case 114:return[0,XI,XI];case 115:return[0,OI,OI];case 116:return[0,$I,$I];case 117:return[0,GI,GI];case 118:return[0,VI,VI];case 119:return[0,JI,JI];case 120:return[0,ZI,ZI];case 121:return[0,KI,KI];case 122:return[0,rM,rM];case 123:return[0,":=",":="];case 124:return[0,eM,eM];case 125:return[0,"->","->"];case 128:return[0,"and","and"];case 129:return[0,cM,iM];default:return[0,nM,nM]}switch(t){case 66:return[0,dI,dI];case 67:return[0,uM,aM];case 68:case 73:case 85:case 87:case 94:return[0,lM,sM];case 69:return[0,hI,hI];case 70:return[0,mI,mI];case 71:return[0,kI,kI];case 72:return[0,yI,yI];case 74:return[0,"{","{"];case 75:return[0,"[","["];case 76:return[0,xI,xI];case 77:return[0,wI,wI];case 78:return[0,_I,_I];case 79:return[0,gI,gI];case 80:return[0,NI,NI];case 81:return[0,II,II];case 82:return[0,"if","if"];case 83:return[0,MI,MI];case 84:return[0,bM,vM];case 86:return[0,TI,TI];case 88:return[0,AI,AI];case 89:return[0,BI,BI];case 90:return[0,"for","for"];case 91:return[0,WI,WI];case 92:return[0,UI,UI];case 93:return[0,RI,RI];case 95:return[0,QI,QI];case 96:return[0,CI,CI];case 97:return[0,FI,FI];default:return ETr}}if(33<=t)switch(t){case 33:return[0,eI,eI];case 34:return[0,nI,nI];case 35:case 37:case 47:case 52:case 59:case 61:case 64:return[0,bM,vM];case 36:case 38:case 48:case 53:case 62:default:return[0,oM,fM];case 39:return[0,tI,tI];case 40:return[0,aI,aI];case 41:return[0,"]","]"];case 42:return[0,uI,uI];case 43:return[0,iI,iI];case 44:return[0,cI,cI];case 45:return[0,fI,fI];case 46:return[0,oI,oI];case 49:return[0,uM,aM];case 50:return[0,"|>","|>"];case 51:return[0,sI,sI];case 54:return[0,"or","or"];case 55:return[0,lI,lI];case 56:return[0,vI,vI];case 57:return[0,bI,bI];case 58:return[0,"not","not"];case 60:return STr;case 63:return[0,pI,pI]}switch(t){case 0:return[0,SN,SN];case 1:case 24:return[0,cM,iM];case 2:return[0,uM,aM];case 3:case 5:case 7:case 9:case 27:case 28:case 29:return[0,bM,vM];case 4:case 6:case 8:case 10:case 30:return[0,oM,fM];case 11:return[0,EN,EN];case 12:return[0,PN,PN];case 13:return[0,jN,jN];case 14:return[0,YN,YN];case 15:return[0,HN,HN];case 16:return[0,qN,qN];case 17:return[0,zN,zN];case 18:return[0,XN,XN];case 19:return[0,ON,ON];case 20:return[0,$N,$N];case 21:return DTr;case 22:return[0,GN,GN];case 23:return[0,VN,VN];case 25:return[0,JN,JN];case 26:return[0,ZN,ZN];case 31:return[0,KN,KN];default:return[0,rI,rI]}}function ire(r){return ure(r)[1]}var cre=[0,0];function fre(r){return cre[1]=[0,r,cre[1]],0}function ore(r){return r?0===r[1][0]?0:1:0}function sre(r){for(var e=r[1],n=e[2],t=e_(F4r[32],e[1]);;){if(0===n)return t;if(!t)return 0;n=n-1|0,t=t[2]}}function lre(r,e){var n=n_(F4r[28],r[1],e[1]);if(0===n&&!KT(function(r,e){var n=r[2][4]===e[2][4]?1:0,t=e[3],a=r[3];return n?a[4]===t[4]?1:0:n},r[2],e[2]))throw zm([0,k_,cBr],1);return n}function vre(r,e){if(!r)return 0;var n=r[1],t=r[2],a=iw(e),u=Nm===a?e[1]:Bl===a?fT(e):e;if(!u)throw zm([0,k_,uBr],1);var i=u[1],c=u[2],f=i[4],o=i[3],s=[0,e_(F4r[29],i[1])];if(0===n_(F4r[26],n,s))return[0,[0,n,o,f],vre(t,c)];throw zm([0,k_,aBr],1)}function bre(r){return ure(r)[2]}var pre=jZr(F4r,[0,fre,function(r){return fre(ire(r))},0]);function dre(r){return function r(e,n,t){return n?n_(e,n[1],r(e,n[2],t)):t}(function(r,e){return rA(r,e)?e:[0,r,e]},r,0)}function hre(r,e){var n=WT(e),t=uy(WT(r),n);if(0!==t)return t;for(var a=r,u=e;;){if(a){if(u){var i=u[2],c=a[2],f=n_(F4r[26],a[1],u[1]);if(0!==f)return f;a=c,u=i;continue}}else if(!u)return 0;throw zm([0,k_,oBr],1)}}var mre=jZr(F4r,[0,function(r){return 0},function(r){return 0},0]),kre=mre[6],yre=mre[7];function xre(r,e){var n=r[1][1];return function(r,e){if(0!==e[0]){var n=e[1];if(51<=n)switch(n){case 51:case 52:case 53:case 54:case 55:case 56:case 57:case 58:case 59:case 60:case 61:case 62:case 63:case 64:case 65:case 66:case 67:case 68:case 69:case 70:case 71:case 72:case 73:case 74:case 75:case 76:case 77:case 78:case 81:case 82:case 83:case 84:case 85:case 86:case 87:case 88:case 89:case 92:case 93:case 94:case 95:case 96:case 97:case 98:case 99:case 100:default:throw zm(d_,1);case 79:case 80:case 90:case 91:return j4r(r)}throw zm(d_,1)}var t=e[1];if(66<=t){if(99<=t)switch(t){case 99:case 100:case 101:case 102:case 103:case 104:case 105:case 106:case 107:case 108:case 109:case 110:case 112:case 113:case 114:case 115:case 117:case 118:case 119:case 120:case 121:case 122:case 123:case 124:case 125:case 126:case 127:case 128:case 129:default:return 0;case 111:case 116:throw zm(d_,1)}switch(t){case 66:case 67:case 68:case 69:case 70:case 71:case 72:case 73:case 74:case 75:case 76:case 77:case 78:case 79:case 80:case 81:case 82:case 84:case 85:case 86:case 87:case 88:case 89:case 90:case 92:case 93:case 94:case 95:case 96:case 97:return 0;case 83:return"__error_recovery_var__";default:throw zm(d_,1)}}if(33<=t)switch(t){case 33:case 34:case 35:case 36:case 37:case 38:case 39:case 40:case 41:case 42:case 43:case 44:case 45:case 46:case 47:case 48:case 49:case 50:case 51:case 52:case 53:case 54:case 55:case 57:case 58:case 59:case 61:case 62:case 63:case 64:default:return 0;case 56:case 60:throw zm(d_,1)}switch(t){case 0:case 1:case 2:case 3:case 4:case 5:case 6:case 7:case 8:case 9:case 10:case 11:case 12:case 13:case 14:case 15:case 16:case 17:case 18:case 19:case 20:case 22:case 23:case 24:case 25:case 26:case 27:case 28:case 29:case 30:case 31:default:return 0;case 21:throw zm(d_,1)}}([0,[0,n,r[1][2],r[1][3]],[0,n,r[2][2],r[2][3]]],e)}function wre(r,e,n){for(var t=r,a=n_(F4r[1],[0,n],e);;){r:if("number"!=typeof a){switch(a[0]){case 0:return[0,-855213085,[0,a,a[1]]];case 2:if(!t)return zl;break;case 4:return[0,ft,a[1]];case 3:break r}t=1,a=n_(F4r[2],0,a);continue}return zl}}function _re(r){var e=e_(F4r[13],r);if(e){var n=e[1],t=n[3],a=e_(F4r[9],n[1]),u=Fk(Y4r,a)[1+a],i=qZr(t),c=i[2],f=i[1];if(0===u)var o=c,s=c,l=f;else{var v=n_(F4r[14],u,r);if(v){var b=v[1],p=e_(F4r[13],b);if(p){var d=qZr(p[1][3])[2],h=e_(F4r[13],b);h&&e_(F4r[29],h[1][1]);var m=d}else m=CM;var k=m}else k=CM;o=RM(c,k),s=UM(c,k),l=f}}else o=0,s=0,l=1;return[0,l,s,o,r]}function gre(r,e,n){var t=[0,0];var a=function r(e){for(var a=e;;){if(!a)return zl;var u=a[2],i=a[1],c=t[1];e_(RU(HV),c),t[1]=t[1]+1|0,yre(i[4]);var f=wre(1,n,i[4]);if("number"!=typeof f){if(ft<=f[1]){var o=f[2],s=r(u);return zl===s?[0,ft,o]:s}var l=f[2][1];return"number"!=typeof l&&0===l[0]?(kre(l[1]),qT(function(r,e){return e_(RU(YV),r),kre(e[4]),0},u),[0,17724,[0,l,i[4]]]):AM("Impossible")}a=u}}(e[3]);if("number"!=typeof a){if(ft<=a[1])return[2,a[2]];var u=a[2][1];r:if("number"!=typeof u&&0===u[0])break r;return[0,u]}var i=n[1];if("number"!=typeof i||90!==i)c=0;else var c=1;if(!c)return[1,r,e];var f=e[2];return f?[2,f[1]]:[3,r]}var Nre=bYr([0,XA]),Ire=MB([0,XA]);function Mre(r,e){return Ire[16].call(null,function(e,n){return Nre[4].call(null,e,r,n)},e,Nre[1])}var Tre=Ire[1],Are=Ire[7];function Bre(r,e,n){return[0,e&&n?1:0]}var Wre=Nre[9];function Ure(r,e){return Wre(Bre,r,e)}function Rre(r,e){var n=PT(r,e);return zT(Ure,Nre[1],n)}function Qre(r,e){var n=r[2];return[0,n_(Ure,r[1],e),n]}function Cre(r,e){var n=e[1],t=r[1],a=Ire[7].call(null,r[2],e[2]);return[0,n_(Ure,t,n),a]}function Fre(r,e){var n=PT(r,e);return zT(Cre,[0,Nre[1],Ire[1]],n)}function Lre(r,e){var n=e[2];return n_(Ure,e[1],Nre[16].call(null,function(r,e){return 1-Ire[3].call(null,r,n)},r))}function Dre(r){return 1}var Sre=Nre[34];function Ere(r){return Sre(Dre,r)}function Pre(r){return 0}var jre=Nre[34];function Yre(r){return jre(Pre,r)}function Hre(r,e){for(var n=e;;){var t=n[2];r:{e:{n:{t:{switch(t[0]){case 0:n=t[2][1];continue;case 2:return Nre[6].call(null,t[1][2],0);case 8:var a=t[1][2];break r;case 16:var u=t[1],i=t[3][1],c=t[2],f=Jre(r,Gre(i,c,$re(r,t[4])));return n_(Ure,u?e_(Yre,Hre(r,u[1])):Nre[1],f);case 17:var o=t[1],s=Rre(function(e){return Hre(r,e[2][3])},t[2]);return n_(Ure,qre(r,o),s);case 21:var l=t[2];break e;case 23:var v=t[7],b=t[4],p=Xre(r,t[2]),d=zre(r,b);return e_(Ere,Lre(Lre(Hre(r,v),d),p));case 24:var h=[0,t[2],[0,t[4][2][1],0]];return e_(Yre,qre(r,DM(gT(t[1]),h)));case 25:return Jre(r,Vre(r,t[1]));case 29:return qre(r,[0,t[1],[0,t[2],[0,t[3],0]]]);case 30:var m=t[2],k=t[1];break n;case 32:var y=t[2],x=t[1];if(y){var w=y[1],_=x;break t}n=x;continue;case 33:var g=t[3],N=t[2],I=zre(r,t[1]),M=Lre(Hre(r,g),I);return n_(Ure,Hre(r,N),M);case 35:var T=t[3];break;case 38:var A=t[1];if(A)return qre(r,[0,A[1],[0,t[4],0]]);a=t[4];break r;case 45:var B=t[3],W=t[2],U=t[1];if(B){var R=B[1],Q=Ore(r,W);return n_(Ure,qre(r,[0,U,[0,R,0]]),Q)}m=W,k=U;break n;case 5:case 34:a=t[3];break r;case 6:case 7:w=t[4],_=t[2];break t;case 9:case 11:l=t[1];break e;case 36:case 44:T=t[1];break;case 18:case 39:case 40:a=t[2];break r;case 1:case 3:case 42:case 43:return Nre[1];case 20:case 22:case 27:case 28:case 31:w=t[2],_=t[1];break t;default:a=t[1];break r}return 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4:t=function(r){return[7,JGr[26].call(null,r)]};break;case 5:t=function(r){return[8,ZGr[26].call(null,r)]};break;case 6:t=function(r){return[9,KGr[26].call(null,r)]};break;case 7:t=function(r){return[1,e_(zGr[26],r)]};break;case 8:t=function(r){return[2,rVr[26].call(null,r)]};break;case 9:t=function(r){return[3,eVr[26].call(null,r)]};break;case 10:t=function(r){return[4,nVr[26].call(null,r)]};break;case 11:t=function(r){return[5,tVr[26].call(null,r)]};break;case 14:t=function(r){var e=iGr(r);n:if(gp<=e){if($n<=e&&$d>e)break n;throw zm([0,v_,"character value out of bounds"],1)}return[12,e]};break;default:throw zm([0,v_,"Value.of_big_int_trap: "+s$r([2,F])],1)}return t(n)}catch(e){var a=Iw(e);if(a[1]===v_)return e_(f,a[2]);throw zm(a,0)}};break r}var c=s$r([2,F]);a=e_(f,"Value.num_conv_trap_prim: "+s$r([2,C])+c)}return e_(n,e_(a,e))}}}}}throw zm([0,k_,w$],1)}(c);return e_(u,[20,gGr(a[3][1]),l]);case 2:var v=i[1],b=v[3][2];if(!b){var p=vee(v[2],e[2])[1];return p?e_(u,p[1]):lee(a[1],_Wr)}a=b[1];break;case 3:var d=i[1][1];if("number"==typeof d)var h=0;else switch(d[0]){case 0:h=[0,d[1]];break;case 1:h=[1,d[1]];break;case 2:h=[6,d[1]];break;case 3:h=[7,d[1]];break;case 4:h=[8,d[1]];break;case 5:h=[9,d[1]];break;case 6:h=[1,d[1]];break;case 7:h=[2,d[1]];break;case 8:h=[3,d[1]];break;case 9:h=[4,d[1]];break;case 10:h=[5,d[1]];break;case 11:h=[10,d[1]];break;case 12:h=[11,d[1]];break;case 13:h=[12,d[1]];break;case 14:h=[13,d[1]];break;case 15:h=[14,d[1]];break;default:throw zm([0,k_,sUr],1)}return e_(u,h);case 4:var m=i[1],k=function(r){var e=kGr(fJr(r));if(0===e[0]){var n=e[1];return 29 disable (allow) comma-separated warning codes, e.g. -A M0194,M0217"],[0,[0,"-W",[4,function(r){return _Yr(1,r)}]," enable (warn) comma-separated warning codes, e.g. -W M0223"],[0,[0,"-E",[4,function(r){return _Yr(2,r)}]," treat as error comma-separated warning codes, e.g. -E M0217"],0]]]]],One=function(r,e,n){for(var t=n;;){var a=pB(yg,t,e);if(Jh>=a>>>0){var u=a;if(70<=u){if(of<=u)switch(u){case 105:return 2;case 106:return 30;case 107:return 47;case 108:return 49;case 109:return 48;case 110:return 51;case 111:return 33;case 112:return 50;case 113:return 35;case 114:return 29;case 115:return 34;case 116:return 36;case 117:return 37;case 118:return 38;case 119:return 67;case 120:return Mor;case 121:return 43;case 122:return 3;case 123:return _d;case 124:return 31;case 125:return 39;case 126:var i=mB(e,e[5],e[5]+4|0);return r[1]?qo:[6,i];case 127:return[6,mB(e,e[5],e[6])];case 128:var c=mB(e,e[5],e[6]);return r[1]?[6,c]:D4r(e,"privileged identifier");case 129:return[11,mB(e,e[5],e[6])];case 130:var f=mB(e,e[5],e[5]+2|0),o=XB(yu);return KB(o,f),P4r(o,e[11],e),[11,OB(o)];case 131:return[10,bx(mB(e,e[5],e[6]))];case 132:var s=bx(mB(e,e[5],e[6]));return 1===s?Pl:[9,s];case 133:return kB(e),Tor;case 134:return kB(e),Aor;case 135:return kB(e),Bor;case 136:return 0;case 137:return D4r(e,Wor);default:return D4r(e,Uor)}switch(u){case 70:return 13;case 71:return 14;case 72:return 69;case 73:return 10;case 74:return 11;case 75:return 12;case 76:return 15;case 77:return 16;case 78:return 17;case 79:return 46;case 80:return om;case 81:return 18;case 82:return 20;case 83:return 66;case 84:return 21;case 85:return 28;case 86:return Ior;case 87:return 22;case 88:return 23;case 89:return 32;case 90:return 68;case 91:return 42;case 92:return 24;case 93:return 25;case 94:return 26;case 95:return 27;case 96:return 62;case 97:return 63;case 98:return 64;case 99:return 65;case 100:return 61;case 101:return sh;case 102:return 44;case 103:return 60;default:return 19}}if(35>u)switch(u){case 0:return 4;case 1:return 5;case 2:return 6;case 3:return 7;case 4:return 8;case 5:return 9;case 6:return 52;case 7:return 53;case 8:return 54;case 9:return 55;case 10:return 56;case 11:return 57;case 12:return 58;case 13:return 95;case 14:return 96;case 15:return 97;case 16:return 70;case 17:return 71;case 18:return 72;case 19:return 73;case 20:return 74;case 21:return 75;case 22:return 84;case 23:return 85;case 24:return Eo;case 25:return 86;case 26:return 87;case 27:return 88;case 28:return 89;case 29:return 76;case 30:return 77;case 31:return 78;case 32:return 79;case 33:return 94;default:return 90}switch(u){case 35:return 91;case 36:return 93;case 37:return 92;case 38:return 41;case 39:return 98;case 40:return 99;case 41:return yu;case 42:return vu;case 43:return Jp;case 44:return Bm;case 45:return of;case 46:return um;case 47:return To;case 48:return Qh;case 49:return Z;case 50:return Wp;case 51:return es;case 52:return 80;case 53:return 81;case 54:return 82;case 55:return 83;case 56:return Vv;case 57:return 40;case 58:return qv;case 59:return[0,mB(e,e[5]+1|0,e[6])];case 60:return[2,mB(e,e[5],e[6])];case 61:var l=FDr(mB(e,e[5],e[6]),46);if(l){var v=l[2];if(v&&!v[2])return[1,l[1],v[1]]}throw zm([0,k_,wor],1);case 62:return[3,mB(e,e[5],e[6])];case 63:var b=E4r(e,mB(e,e[5],e[6]));try{var p=YDr(b);if(p)var d=p[2]?D4r(e,"overlong character literal"):p[1];else d=D4r(e,"empty character literal");var h=d}catch(a){var m=Iw(a);if(m!==yLr)throw zm(m,0);h=D4r(e,"invalid utf8 in character literal")}return[4,h];case 64:return[7,E4r(e,mB(e,e[5],e[6]))];case 65:return D4r(e,_or);case 66:return D4r(e,gor);case 67:return S4r(e[12],e,Nor);case 68:return 45;default:return 59}}e_(e[1],e),t=a}},$ne=function(r){if(1158>>0)throw zm(d_,1);var e=r;if(580<=e){if(870<=e){if(1015<=e){if(1087<=e){if(1123<=e)switch(e){case 1123:return MNr;case 1124:return[0,m7r];case 1125:return[0,[0,TNr,E7r]];case 1126:return[0,E7r];case 1127:return[0,[0,ANr,j7r]];case 1128:return[0,[0,BNr,H7r]];case 1129:return[0,H7r];case 1130:return[0,Y7r];case 1131:return WNr;case 1132:return[0,j7r];case 1133:return[0,P7r];case 1134:return UNr;case 1135:return[0,[0,RNr,z7r]];case 1136:return[0,[0,QNr,O7r]];case 1137:return[0,O7r];case 1138:return[0,X7r];case 1139:return CNr;case 1140:return[0,z7r];case 1141:return[0,q7r];case 1142:return FNr;case 1143:return[0,S7r];case 1144:return[0,D7r];case 1145:return[0,L7r];case 1146:return[0,F7r];case 1147:return[0,C7r];case 1148:return[0,LN];case 1149:return LNr;case 1150:return[0,[0,DNr,DN]];case 1151:return SNr;case 1152:return ENr;case 1153:return[0,DN];case 1154:return PNr;case 1155:return[0,h7r];case 1156:return[0,UN];case 1157:return jNr;default:return YNr}switch(e){case 1087:return[0,x7r];case 1088:return uNr;case 1089:return[0,[0,iNr,RN]];case 1090:return cNr;case 1091:return fNr;case 1092:return[0,RN];case 1093:return oNr;case 1094:return[0,k7r];case 1095:return[0,[0,sNr,A7r]];case 1096:return lNr;case 1097:return[0,A7r];case 1098:return[0,T7r];case 1099:return[0,M7r];case 1100:return[0,I7r];case 1101:return[0,[0,vNr,W7r]];case 1102:return[0,[0,bNr,R7r]];case 1103:return[0,R7r];case 1104:return[0,U7r];case 1105:return pNr;case 1106:return[0,W7r];case 1107:return[0,B7r];case 1108:return dNr;case 1109:return[0,[0,hNr,CN]];case 1110:return mNr;case 1111:return kNr;case 1112:return[0,CN];case 1113:return yNr;case 1114:return[0,QN];case 1115:return xNr;case 1116:return[0,[0,wNr,Q7r]];case 1117:return[0,Q7r];case 1118:return _Nr;case 1119:return[0,[0,gNr,FN]];case 1120:return NNr;case 1121:return INr;default:return[0,FN]}}if(1051<=e)switch(e){case 1051:return[0,k6r];case 1052:return Fgr;case 1053:return Lgr;case 1054:return[0,[0,[2,zg],Dgr]];case 1055:return Sgr;case 1056:return Egr;case 1057:return[0,o6r];case 1058:return Pgr;case 1059:return[0,qg];case 1060:return jgr;case 1061:return Ygr;case 1062:return Hgr;case 1063:return[0,Yg];case 1064:return qgr;case 1065:return zgr;case 1066:return[0,[0,Ogr,[0,[2,d7r],Xgr]]];case 1067:return[0,d7r];case 1068:return[0,p7r];case 1069:return[0,AN];case 1070:return $gr;case 1071:return[0,[0,Ggr,BN]];case 1072:return[0,BN];case 1073:return Vgr;case 1074:return[0,[0,Jgr,WN]];case 1075:return[0,WN];case 1076:return Zgr;case 1077:return Kgr;case 1078:return[0,[0,eNr,[0,[2,y7r],rNr]]];case 1079:return[0,y7r];case 1080:return[0,[0,nNr,w7r]];case 1081:return[0,w7r];case 1082:return[0,[0,tNr,N7r]];case 1083:return[0,N7r];case 1084:return[0,g7r];case 1085:return[0,_7r];default:return aNr}switch(e){case 1015:return sgr;case 1016:return[0,Vg];case 1017:return lgr;case 1018:return vgr;case 1019:return[0,wN];case 1020:return[0,$g];case 1021:return bgr;case 1022:return[0,[0,pgr,o7r]];case 1023:return[0,o7r];case 1024:return[0,TN];case 1025:return dgr;case 1026:return hgr;case 1027:return mgr;case 1028:return kgr;case 1029:return ygr;case 1030:return xgr;case 1031:return wgr;case 1032:case 1036:return[0,s7r];case 1033:return _gr;case 1034:return ggr;case 1035:return Ngr;case 1037:return Igr;case 1038:return Mgr;case 1039:return Tgr;case 1040:return[0,[0,Agr,b7r]];case 1041:return[0,b7r];case 1042:return[0,v7r];case 1043:return[0,l7r];case 1044:return Bgr;case 1045:return Wgr;case 1046:return Ugr;case 1047:return Rgr;case 1048:return Qgr;case 1049:return Cgr;default:return[0,y6r]}}if(943<=e){if(979<=e)switch(e){case 979:return E_r;case 980:return P_r;case 981:return j_r;case 982:return Y_r;case 983:return[0,[0,H_r,IN]];case 984:return q_r;case 985:return z_r;case 986:return[0,IN];case 987:return X_r;case 988:return O_r;case 989:return $_r;case 990:return G_r;case 991:return[0,Kg];case 992:return V_r;case 993:return[0,[0,J_r,MN]];case 994:return Z_r;case 995:return K_r;case 996:return[0,MN];case 997:return rgr;case 998:return egr;case 999:return[0,U6r];case 1e3:return[0,W6r];case 1001:return[0,B6r];case 1002:return ngr;case 1003:return[0,Jg];case 1004:return tgr;case 1005:return[0,I6r];case 1006:return[0,N6r];case 1007:return agr;case 1008:return[0,[0,[2,q4r],f7r]];case 1009:return[0,f7r];case 1010:return ugr;case 1011:return igr;case 1012:return[0,[0,[2,zg],cgr]];case 1013:return fgr;default:return ogr}switch(e){case 943:return h_r;case 944:return m_r;case 945:return k_r;case 946:return y_r;case 947:return x_r;case 948:return w_r;case 949:return __r;case 950:return[0,uN];case 951:return g_r;case 952:return[0,aN];case 953:return N_r;case 954:return I_r;case 955:return M_r;case 956:return T_r;case 957:return[0,[0,[2,zg],A_r]];case 958:return B_r;case 959:case 969:return[0,NN];case 960:return[0,gN];case 961:return W_r;case 962:return U_r;case 963:return[0,[0,R_r,i7r]];case 964:return[0,i7r];case 965:return[0,u7r];case 966:return[0,a7r];case 967:return[0,t7r];case 968:return Q_r;case 970:return[0,c7r];case 971:return C_r;case 972:return[0,R8r];case 973:return F_r;case 974:return[0,iN];case 975:return L_r;case 976:return[0,[0,[2,zg],D_r]];case 977:return S_r;default:return[0,eN]}}if(907<=e)switch(e){case 907:return[0,G9r];case 908:return[0,$9r];case 909:return Xwr;case 910:return[0,[0,Owr,r7r]];case 911:return[0,r7r];case 912:return[0,K9r];case 913:return[0,Z9r];case 914:return $wr;case 915:return[0,[0,Gwr,n7r]];case 916:return[0,n7r];case 917:return[0,e7r];case 918:return[0,W9r];case 919:return Vwr;case 920:return[0,[0,Jwr,A9r]];case 921:return Zwr;case 922:return[0,xN];case 923:return[0,[0,[2,hN],Kwr]];case 924:return r_r;case 925:return[0,[0,e_r,_N]];case 926:return n_r;case 927:return t_r;case 928:return[0,_N];case 929:return a_r;case 930:return u_r;case 931:return i_r;case 932:return[0,gN];case 933:return c_r;case 934:return f_r;case 935:return[0,[0,[2,hN],o_r]];case 936:return s_r;case 937:return l_r;case 938:return[0,[0,[2,zg],v_r]];case 939:return b_r;case 940:return[0,lN];case 941:return p_r;default:return d_r}switch(e){case 870:return[0,xN];case 871:return[0,dN];case 872:return Uwr;case 873:return Rwr;case 874:return[0,[0,Qwr,Q9r]];case 875:return[0,Q9r];case 876:return[0,wN];case 877:return Cwr;case 878:return Fwr;case 879:return Lwr;case 880:return[0,R9r];case 881:return[0,U9r];case 882:return[0,[0,Dwr,S9r]];case 883:return[0,S9r];case 884:return[0,D9r];case 885:return[0,[0,Swr,j9r]];case 886:return[0,j9r];case 887:return[0,P9r];case 888:return[0,E9r];case 889:return Ewr;case 890:return[0,[0,Pwr,q9r]];case 891:return[0,q9r];case 892:return[0,H9r];case 893:return[0,Y9r];case 894:return jwr;case 895:return[0,L9r];case 896:return[0,F9r];case 897:return[0,C9r];case 898:return Ywr;case 899:return[0,[0,Hwr,O9r]];case 900:return[0,O9r];case 901:return[0,X9r];case 902:return[0,z9r];case 903:return qwr;case 904:return[0,[0,zwr,J9r]];case 905:return[0,J9r];default:return[0,V9r]}}if(725<=e){if(798<=e){if(hs<=e)switch(e){case 834:return twr;case 835:return awr;case 836:return uwr;case 837:return iwr;case 838:return cwr;case 839:return fwr;case 840:return owr;case 841:return swr;case 842:return lwr;case 843:return[0,y9r];case 844:return[0,k9r];case 845:return vwr;case 846:return bwr;case 847:return[0,[0,[2,zg],pwr]];case 848:return dwr;case 849:return hwr;case 850:return mwr;case 851:return kwr;case 852:return[0,bN];case 853:return ywr;case 854:return[0,[0,xwr,yN]];case 855:return[0,yN];case 856:return wwr;case 857:return[0,vN];case 858:return _wr;case 859:return gwr;case 860:return[0,[0,[2,zg],Nwr]];case 861:return Iwr;case 862:return Mwr;case 863:return[0,j8r];case 864:return[0,P8r];case 865:return Twr;case 866:return Awr;case 867:return Bwr;case 868:return[0,Xg];default:return Wwr}switch(e){case 798:return Ixr;case 799:return Mxr;case 800:return Txr;case 801:return[0,[0,[2,G4r],Axr]];case 802:return Bxr;case 803:return Wxr;case 804:return Uxr;case 805:return Rxr;case 806:return Qxr;case 807:return[0,[0,[2,B9r],Cxr]];case 808:return Fxr;case 809:return Lxr;case 810:return Dxr;case 811:return[0,[0,[2,B9r],Sxr]];case 812:return Exr;case 813:return[0,[0,[2,B9r],Pxr]];case 814:return jxr;case 815:return[0,pN];case 816:return Yxr;case 817:return Hxr;case 818:return[0,dN];case 819:return qxr;case 820:return zxr;case 821:return[0,[0,[2,hN],Xxr]];case 822:return Oxr;case 823:return $xr;case 824:return Gxr;case 825:return[0,[0,Vxr,mN]];case 826:return[0,mN];case 827:return Jxr;case 828:return[0,[0,Zxr,kN]];case 829:return[0,kN];case 830:return Kxr;case 831:return rwr;case 832:return ewr;default:return nwr}}if(762<=e)switch(e){case 762:return Hyr;case 763:return qyr;case 764:return zyr;case 765:return[0,[0,[2,B9r],Xyr]];case 766:return Oyr;case 767:return[0,[0,[2,B9r],$yr]];case 768:return Gyr;case 769:return Vyr;case 770:return Jyr;case 771:return[0,[0,[2,B9r],Zyr]];case 772:return Kyr;case 773:return[0,[0,[2,B9r],rxr]];case 774:return exr;case 775:return[0,[0,[2,B9r],nxr]];case 776:return txr;case 777:return axr;case 778:return uxr;case 779:return[0,[0,[2,B9r],ixr]];case 780:return cxr;case 781:return fxr;case 782:return oxr;case 783:return sxr;case 784:return lxr;case 785:return[0,[0,[2,B9r],vxr]];case 786:return bxr;case 787:return[0,[0,[2,B9r],pxr]];case 788:return dxr;case 789:return[0,[0,[2,B9r],hxr]];case 790:return mxr;case 791:return[0,[0,[2,B9r],kxr]];case 792:return yxr;case 793:return[0,[0,[2,B9r],xxr]];case 794:return wxr;case 795:return[0,[0,[2,B9r],_xr]];case 796:return gxr;default:return[0,[0,[2,B9r],Nxr]]}switch(e){case 725:return[0,[0,[2,B9r],iyr]];case 726:return cyr;case 727:return fyr;case 728:return oyr;case 729:return[0,[0,[2,B9r],syr]];case 730:return lyr;case 731:return vyr;case 732:return byr;case 733:return[0,[0,[2,B9r],pyr]];case 734:return dyr;case 735:return hyr;case 736:return myr;case 737:return[0,[0,[2,B9r],kyr]];case 738:return yyr;case 739:return xyr;case 740:return wyr;case 741:return[0,[0,[2,B9r],_yr]];case 742:return gyr;case 743:return[0,[0,[2,B9r],Nyr]];case 744:return Iyr;case 745:return Myr;case 746:return Tyr;case 747:return[0,[0,[2,B9r],Ayr]];case 748:return Byr;case 749:return Wyr;case 750:return Uyr;case 751:return[0,[0,[2,B9r],Ryr]];case 752:return Qyr;case 753:return Cyr;case 754:return Fyr;case 755:return[0,[0,[2,B9r],Lyr]];case 756:return Dyr;case 757:return Syr;case 758:return Eyr;case 759:return[0,[0,[2,B9r],Pyr]];case 760:return jyr;default:return Yyr}}if(653<=e){if(689<=e)switch(e){case 689:return Nkr;case 690:return[0,[0,[2,B9r],Ikr]];case 691:return Mkr;case 692:return[0,[0,[2,B9r],Tkr]];case 693:return Akr;case 694:return[0,[0,[2,B9r],Bkr]];case 695:return Wkr;case 696:return[0,[0,[2,B9r],Ukr]];case 697:return Rkr;case 698:return[0,[0,[2,B9r],Qkr]];case 699:return Ckr;case 700:return[0,[0,[2,B9r],Fkr]];case 701:return Lkr;case 702:return[0,[0,[2,B9r],Dkr]];case 703:return Skr;case 704:return[0,[0,[2,B9r],Ekr]];case 705:return Pkr;case 706:return jkr;case 707:return Ykr;case 708:return Hkr;case 709:return qkr;case 710:return zkr;case 711:return Xkr;case 712:return Okr;case 713:return $kr;case 714:return Gkr;case 715:return Vkr;case 716:return[0,[0,[2,G4r],Jkr]];case 717:return Zkr;case 718:return Kkr;case 719:return ryr;case 720:return eyr;case 721:return nyr;case 722:return tyr;case 723:return ayr;default:return uyr}switch(e){case 653:return Ymr;case 654:return[0,[0,[2,B9r],Hmr]];case 655:return qmr;case 656:return[0,[0,[2,B9r],zmr]];case 657:return Xmr;case 658:return[0,[0,[2,B9r],Omr]];case 659:return $mr;case 660:return Gmr;case 661:return Vmr;case 662:return Jmr;case 663:return Zmr;case 664:return Kmr;case 665:return rkr;case 666:return[0,[0,[2,B9r],ekr]];case 667:return nkr;case 668:return tkr;case 669:return akr;case 670:return[0,[0,[2,B9r],ukr]];case 671:return ikr;case 672:return ckr;case 673:return fkr;case 674:return okr;case 675:return skr;case 676:return lkr;case 677:return vkr;case 678:return bkr;case 679:return pkr;case 680:return dkr;case 681:return hkr;case 682:return mkr;case 683:return kkr;case 684:return[0,[0,[2,B9r],ykr]];case 685:return xkr;case 686:return[0,[0,[2,B9r],wkr]];case 687:return _kr;default:return[0,[0,[2,B9r],gkr]]}}if(617<=e)switch(e){case 617:return cmr;case 618:return[0,[0,[2,B9r],fmr]];case 619:return omr;case 620:return[0,[0,[2,B9r],smr]];case 621:return lmr;case 622:return[0,[0,[2,B9r],vmr]];case 623:return bmr;case 624:return pmr;case 625:return[0,[0,[2,zg],dmr]];case 626:return hmr;case 627:return mmr;case 628:return kmr;case 629:return ymr;case 630:return xmr;case 631:return wmr;case 632:return[0,[0,[2,zg],_mr]];case 633:return gmr;case 634:return[0,[0,[2,zg],Nmr]];case 635:return Imr;case 636:return[0,L8r];case 637:return Mmr;case 638:return Tmr;case 639:return Amr;case 640:return[0,[0,[2,B9r],Bmr]];case 641:return Wmr;case 642:return Umr;case 643:return Rmr;case 644:return Qmr;case 645:return Cmr;case 646:return[0,[0,[2,B9r],Fmr]];case 647:return Lmr;case 648:return[0,[0,[2,B9r],Dmr]];case 649:return Smr;case 650:return[0,[0,[2,B9r],Emr]];case 651:return Pmr;default:return[0,[0,[2,B9r],jmr]]}switch(e){case 580:return[0,[0,[2,zg],Uhr]];case 581:return[0,[0,[2,zg],Rhr]];case 582:return[0,[0,[2,zg],Qhr]];case 583:return[0,[0,[2,c6r],Chr]];case 584:return Fhr;case 585:return[0,[0,[2,F8r],Lhr]];case 586:return[0,[0,Dhr,N9r]];case 587:return[0,N9r];case 588:return[0,g9r];case 589:return Shr;case 590:return[0,[0,[2,T6r],M9r]];case 591:return[0,M9r];case 592:return[0,I9r];case 593:return Ehr;case 594:return Phr;case 595:return[0,A9r];case 596:return[0,T9r];case 597:return jhr;case 598:return Yhr;case 599:return Hhr;case 600:return qhr;case 601:return[0,[0,zhr,pN]];case 602:return[0,[0,[2,zg],Xhr]];case 603:return Ohr;case 604:return $hr;case 605:return Ghr;case 606:return Vhr;case 607:return Jhr;case 608:return Zhr;case 609:return[0,[0,[2,B9r],Khr]];case 610:return rmr;case 611:return emr;case 612:return[0,[0,[2,B9r],nmr]];case 613:return tmr;case 614:return[0,[0,[2,B9r],amr]];case 615:return umr;default:return[0,[0,[2,B9r],imr]]}}if(Pa<=e){if(435<=e){if(Ai<=e){if(544<=e)switch(e){case 544:return ehr;case 545:return nhr;case 546:return[0,[0,[2,zg],thr]];case 547:return[0,[0,ahr,h9r]];case 548:return[0,h9r];case 549:return[0,d9r];case 550:return[0,[0,[2,zg],uhr]];case 551:return[0,[0,ihr,m9r]];case 552:return[0,m9r];case 553:return chr;case 554:return fhr;case 555:return ohr;case 556:return shr;case 557:return[0,[0,[2,c6r],lhr]];case 558:return vhr;case 559:return[0,[0,bhr,_9r]];case 560:return[0,_9r];case 561:return[0,w9r];case 562:return[0,x9r];case 563:return[0,[0,[2,zg],phr]];case 564:return[0,[0,[2,z8r],dhr]];case 565:return[0,[0,[2,z8r],hhr]];case 566:return mhr;case 567:return khr;case 568:return yhr;case 569:return[0,[0,[2,c6r],xhr]];case 570:return whr;case 571:return[0,[0,[2,zg],_hr]];case 572:return ghr;case 573:return Nhr;case 574:return Ihr;case 575:return Mhr;case 576:return Thr;case 577:return[0,[0,[2,zg],Ahr]];case 578:return[0,[0,[2,zg],Bhr]];default:return[0,[0,[2,zg],Whr]]}switch(e){case 508:return[0,[0,jdr,r9r]];case 509:return[0,r9r];case 510:return[0,K8r];case 511:return[0,Z8r];case 512:return[0,J8r];case 513:return Ydr;case 514:return[0,[0,Hdr,t9r]];case 515:return[0,t9r];case 516:return[0,n9r];case 517:return[0,e9r];case 518:return qdr;case 519:return[0,[0,zdr,i9r]];case 520:return[0,i9r];case 521:return[0,u9r];case 522:return[0,a9r];case 523:return Xdr;case 524:return[0,$8r];case 525:return[0,O8r];case 526:return[0,X8r];case 527:return Odr;case 528:return $dr;case 529:return[0,o9r];case 530:return[0,f9r];case 531:return[0,c9r];case 532:return Gdr;case 533:return[0,[0,Vdr,v9r]];case 534:return[0,v9r];case 535:return[0,l9r];case 536:return[0,s9r];case 537:return Jdr;case 538:return[0,[0,[2,T6r],p9r]];case 539:return[0,p9r];case 540:return[0,b9r];case 541:return Zdr;case 542:return Kdr;default:return rhr}}if(qi<=e)switch(e){case 472:return[0,D8r];case 473:return mdr;case 474:return kdr;case 475:return[0,[0,[2,c6r],ydr]];case 476:return xdr;case 477:return wdr;case 478:return _dr;case 479:return[0,[0,[2,c6r],gdr]];case 480:return Ndr;case 481:return[0,[0,[2,c6r],Idr]];case 482:return Mdr;case 483:case 485:return[0,s6r];case 484:return Tdr;case 486:return[0,[0,[2,T6r],E8r]];case 487:return[0,E8r];case 488:return[0,S8r];case 489:return[0,Zg];case 490:return[0,[0,Adr,q8r]];case 491:return[0,q8r];case 492:return[0,H8r];case 493:return[0,Y8r];case 494:return[0,[0,[2,z8r],Bdr]];case 495:return[0,[0,[2,z8r],Wdr]];case 496:return Udr;case 497:return Rdr;case 498:return[0,[0,[2,zg],Qdr]];case 499:return[0,[0,[2,zg],Cdr]];case 500:return[0,[0,Fdr,vN]];case 501:return[0,[0,Ldr,bN]];case 502:return Ddr;case 503:return Sdr;case 504:return Edr;case 505:return[0,[0,Pdr,V8r]];case 506:return[0,V8r];default:return[0,G8r]}switch(e){case 435:return[0,tN];case 436:return zpr;case 437:return[0,[0,[2,c6r],Xpr]];case 438:return[0,[0,Opr,aN]];case 439:return[0,[0,$pr,uN]];case 440:return[0,R8r];case 441:return Gpr;case 442:return[0,iN];case 443:return[0,[0,Vpr,C8r]];case 444:return[0,C8r];case 445:return[0,Q8r];case 446:return Jpr;case 447:return[0,[0,Zpr,cN]];case 448:return[0,cN];case 449:return[0,[0,[2,zg],Kpr]];case 450:return[0,[0,[2,c6r],rdr]];case 451:return edr;case 452:return ndr;case 453:return tdr;case 454:return[0,[0,[2,c6r],adr]];case 455:return[0,[0,[2,c6r],udr]];case 456:return[0,[0,[2,c6r],idr]];case 457:return[0,L8r];case 458:return cdr;case 459:return fdr;case 460:return odr;case 461:return[0,[0,sdr,fN]];case 462:return[0,[0,ldr,oN]];case 463:return[0,[0,[2,V4r],sN]];case 464:return[0,sN];case 465:return vdr;case 466:return[0,oN];case 467:return bdr;case 468:return[0,fN];case 469:return pdr;case 470:return[0,[0,ddr,lN]];default:return[0,[0,hdr,D8r]]}}if(Nc<=e){if(R<=e)switch(e){case 399:return Apr;case 400:return[0,[0,[2,T6r],_8r]];case 401:return[0,_8r];case 402:return[0,w8r];case 403:return Bpr;case 404:return[0,k8r];case 405:return[0,m8r];case 406:return Wpr;case 407:return[0,[0,Upr,N8r]];case 408:return[0,[0,Rpr,M8r]];case 409:return[0,M8r];case 410:return[0,I8r];case 411:return Qpr;case 412:return[0,[0,[2,T6r],A8r]];case 413:return[0,A8r];case 414:return[0,T8r];case 415:return Cpr;case 416:return[0,N8r];case 417:return[0,g8r];case 418:return Fpr;case 419:return[0,[0,[2,gg],B8r]];case 420:return[0,B8r];case 421:return Lpr;case 422:case 424:return[0,s6r];case 423:return[0,[0,[2,Hg],Dpr]];case 425:return[0,[0,[2,zg],Spr]];case 426:return[0,[0,[2,zg],Epr]];case 427:return[0,[0,Ppr,U8r]];case 428:return[0,U8r];case 429:return[0,W8r];case 430:return[0,nN];case 431:return jpr;case 432:return[0,[0,Ypr,tN]];case 433:return Hpr;default:return qpr}switch(e){case 363:return[0,[0,[2,F6r],vpr]];case 364:return bpr;case 365:return ppr;case 366:return dpr;case 367:return hpr;case 368:return[0,[0,mpr,u8r]];case 369:return[0,u8r];case 370:return[0,a8r];case 371:return[0,t8r];case 372:return kpr;case 373:return[0,[0,ypr,f8r]];case 374:return[0,f8r];case 375:return[0,c8r];case 376:return[0,i8r];case 377:return xpr;case 378:return[0,J6r];case 379:return[0,V6r];case 380:return[0,G6r];case 381:return[0,o8r];case 382:return[0,[0,wpr,v8r]];case 383:return[0,v8r];case 384:return[0,[0,_pr,p8r]];case 385:return[0,p8r];case 386:return[0,b8r];case 387:return gpr;case 388:return[0,[0,[2,T6r],h8r]];case 389:return[0,h8r];case 390:return[0,d8r];case 391:return Npr;case 392:return[0,l8r];case 393:return[0,s8r];case 394:return Ipr;case 395:return[0,[0,Mpr,k8r]];case 396:return[0,[0,Tpr,x8r]];case 397:return[0,x8r];default:return[0,y8r]}}if(rs<=e)switch(e){case 327:return[0,H6r];case 328:return Xbr;case 329:return[0,Y6r];case 330:return[0,j6r];case 331:return Obr;case 332:return $br;case 333:return[0,[0,Gbr,X6r]];case 334:return[0,[0,Vbr,$6r]];case 335:return[0,$6r];case 336:return[0,O6r];case 337:return Jbr;case 338:return[0,X6r];case 339:return[0,z6r];case 340:return Zbr;case 341:return Kbr;case 342:return rpr;case 343:return[0,S6r];case 344:return[0,D6r];case 345:return[0,C6r];case 346:return epr;case 347:return npr;case 348:return tpr;case 349:return[0,[0,apr,rN]];case 350:return upr;case 351:return ipr;case 352:return cpr;case 353:return[0,rN];case 354:return fpr;case 355:return[0,[0,opr,Z6r]];case 356:return[0,Z6r];case 357:return[0,[0,spr,n8r]];case 358:return[0,n8r];case 359:return[0,e8r];case 360:return[0,r8r];case 361:return[0,K6r];default:return[0,[0,[2,F6r],lpr]]}switch(e){case 290:return gbr;case 291:return[0,[0,[2,c6r],Nbr]];case 292:return[0,[0,[2,c6r],Ibr]];case 293:return[0,s6r];case 294:return[0,[0,[2,zg],Mbr]];case 295:return[0,[0,[2,c6r],Tbr]];case 296:return[0,[0,Abr,$g]];case 297:return[0,[0,Bbr,Gg]];case 298:return[0,Gg];case 299:return Wbr;case 300:return Ubr;case 301:return[0,[0,Rbr,w6r]];case 302:return Qbr;case 303:return Cbr;case 304:return Fbr;case 305:return Lbr;case 306:return Dbr;case 307:return[0,w6r];case 308:return[0,x6r];case 309:return[0,[0,[2,q4r],_6r]];case 310:return[0,_6r];case 311:return[0,[0,Sbr,g6r]];case 312:return[0,g6r];case 313:return Ebr;case 314:return[0,[0,[2,zg],I6r]];case 315:return[0,[0,Pbr,M6r]];case 316:return[0,M6r];case 317:return[0,[0,jbr,Q6r]];case 318:return[0,Q6r];case 319:return Ybr;case 320:return[0,R6r];case 321:return[0,[0,Hbr,P6r]];case 322:return[0,P6r];case 323:return[0,E6r];case 324:return[0,[0,qbr,Y6r]];case 325:return[0,[0,zbr,q6r]];default:return[0,q6r]}}if(145<=e){if(k<=e){if(Bi<=e)switch(e){case 254:return rbr;case 255:return[0,jg];case 256:return ebr;case 257:return nbr;case 258:return[0,[0,abr,[0,[2,i6r],tbr]]];case 259:return[0,i6r];case 260:return[0,u6r];case 261:return[0,[0,[2,c6r],ubr]];case 262:return[0,[0,[2,c6r],ibr]];case 263:return cbr;case 264:return[0,[0,fbr,f6r]];case 265:return[0,f6r];case 266:return[0,[0,obr,o6r]];case 267:return sbr;case 268:return lbr;case 269:return[0,s6r];case 270:return[0,[0,vbr,v6r]];case 271:return[0,v6r];case 272:return[0,[0,[2,V4r],bbr]];case 273:return pbr;case 274:return[0,l6r];case 275:return[0,Og];case 276:return[0,[0,dbr,p6r]];case 277:return[0,p6r];case 278:return[0,[0,hbr,m6r]];case 279:return[0,m6r];case 280:return[0,h6r];case 281:return[0,d6r];case 282:return mbr;case 283:return[0,b6r];case 284:return kbr;case 285:return[0,[0,[2,zg],y6r]];case 286:return[0,[0,[2,c6r],ybr]];case 287:return[0,[0,[2,c6r],xbr]];case 288:return[0,[0,[2,c6r],wbr]];default:return[0,[0,[2,c6r],_br]]}switch(e){case 218:return gvr;case 219:return Nvr;case 220:return Ivr;case 221:return Mvr;case 222:return[0,[0,[2,_g],Tvr]];case 223:return Avr;case 224:return Bvr;case 225:return Wvr;case 226:return Uvr;case 227:return[0,[0,[2,t6r],Rvr]];case 228:return Qvr;case 229:return[0,[0,[2,V4r],Cvr]];case 230:return Fvr;case 231:return Lvr;case 232:return[0,Ng];case 233:return Dvr;case 234:return[0,[0,Svr,Eg]];case 235:return Evr;case 236:return Pvr;case 237:return[0,Eg];case 238:return jvr;case 239:return Yvr;case 240:return[0,wg];case 241:return Hvr;case 242:return[0,[0,qvr,Pg]];case 243:return[0,Pg];case 244:return zvr;case 245:return Xvr;case 246:return Ovr;case 247:return $vr;case 248:return Gvr;case 249:return Vvr;case 250:return[0,xg];case 251:return Jvr;case 252:return[0,[0,Zvr,jg]];default:return Kvr}}if(182<=e)switch(e){case 182:return evr;case 183:return nvr;case 184:return[0,Tg];case 185:return tvr;case 186:return[0,c5r];case 187:return[0,i5r];case 188:return[0,u5r];case 189:return[0,a5r];case 190:return avr;case 191:return[0,t5r];case 192:return[0,n5r];case 193:return[0,e5r];case 194:return[0,r5r];case 195:return uvr;case 196:return[0,Z4r];case 197:return[0,J4r];case 198:return ivr;case 199:return[0,[0,cvr,n6r]];case 200:return[0,n6r];case 201:return fvr;case 202:return ovr;case 203:return[0,[0,[2,V4r],svr]];case 204:return lvr;case 205:return[0,[0,vvr,Sg]];case 206:return[0,Sg];case 207:return bvr;case 208:return pvr;case 209:return[0,Mg];case 210:return dvr;case 211:return hvr;case 212:return mvr;case 213:return kvr;case 214:return yvr;case 215:return[0,[0,[2,a6r],xvr]];case 216:return wvr;default:return _vr}switch(e){case 145:return Wlr;case 146:return[0,[0,Ulr,Fg]];case 147:return Rlr;case 148:return Qlr;case 149:return[0,Fg];case 150:return Clr;case 151:return[0,Ag];case 152:return Flr;case 153:return Llr;case 154:return Dlr;case 155:return Slr;case 156:return Elr;case 157:return[0,Lg];case 158:return Plr;case 159:return jlr;case 160:return Ylr;case 161:return[0,[0,Hlr,Lg]];case 162:return[0,[0,qlr,Dg]];case 163:return zlr;case 164:return Xlr;case 165:return[0,Dg];case 166:return Olr;case 167:return $lr;case 168:return Glr;case 169:return Vlr;case 170:return Jlr;case 171:return Zlr;case 172:return[0,d5r];case 173:return[0,p5r];case 174:return Klr;case 175:return[0,b5r];case 176:return[0,v5r];case 177:return[0,l5r];case 178:return[0,s5r];case 179:return rvr;case 180:return[0,o5r];default:return[0,f5r]}}if(73<=e){if(Z<=e)switch(e){case 109:return dlr;case 110:return[0,L5r];case 111:return[0,F5r];case 112:return hlr;case 113:return[0,Ug];case 114:return mlr;case 115:return[0,Wg];case 116:return klr;case 117:return[0,R5r];case 118:return[0,U5r];case 119:return ylr;case 120:return[0,W5r];case 121:return[0,B5r];case 122:return[0,A5r];case 123:return[0,T5r];case 124:return xlr;case 125:return wlr;case 126:return[0,_5r];case 127:return _lr;case 128:return[0,[0,glr,X5r]];case 129:return[0,[0,Nlr,V5r]];case 130:return[0,[0,Ilr,r6r]];case 131:return[0,r6r];case 132:return[0,K5r];case 133:return[0,Z5r];case 134:return[0,J5r];case 135:return Mlr;case 136:return[0,V5r];case 137:return[0,G5r];case 138:return[0,$5r];case 139:return[0,O5r];case 140:return Tlr;case 141:return[0,X5r];case 142:return Alr;case 143:return[0,[0,Blr,e6r]];default:return[0,e6r]}switch(e){case 73:return[0,Y5r];case 74:return[0,[0,[2,$4r],Ysr]];case 75:return[0,[0,[2,$4r],Hsr]];case 76:return[0,[0,[2,w5r],qsr]];case 77:return zsr;case 78:return Xsr;case 79:return Osr;case 80:return[0,Ig];case 81:return[0,[0,$sr,Rg]];case 82:return Gsr;case 83:return[0,[0,[2,G4r],Vsr]];case 84:return Jsr;case 85:return Zsr;case 86:return Ksr;case 87:return rlr;case 88:return[0,[0,elr,Qg]];case 89:return[0,Qg];case 90:return nlr;case 91:return tlr;case 92:return[0,[0,alr,Cg]];case 93:return[0,[0,[2,V4r],ulr]];case 94:return ilr;case 95:return[0,[0,[2,V4r],clr]];case 96:return flr;case 97:return[0,Cg];case 98:return olr;case 99:return[0,Rg];case 100:return slr;case 101:return llr;case 102:return vlr;case 103:return blr;case 104:return plr;case 105:return[0,j5r];case 106:return[0,P5r];case 107:return[0,E5r];default:return[0,S5r]}}if(37<=e)switch(e){case 37:return[0,m5r];case 38:return[0,h5r];case 39:case 46:return[0,k5r];case 40:return[0,[0,Isr,x5r]];case 41:return[0,x5r];case 42:return[0,y5r];case 43:return Msr;case 44:return Tsr;case 45:return[0,[0,[2,w5r],Asr]];case 47:return[0,[0,Bsr,g5r]];case 48:return[0,g5r];case 49:return[0,[0,Wsr,M5r]];case 50:return[0,[0,Usr,Bg]];case 51:return[0,Bg];case 52:return Rsr;case 53:return[0,M5r];case 54:return[0,I5r];case 55:return[0,N5r];case 56:return[0,[0,[2,w5r],Qsr]];case 57:return Csr;case 58:return[0,[0,Fsr,W5r]];case 59:return[0,[0,Lsr,C5r]];case 60:return[0,C5r];case 61:return[0,Q5r];case 62:return[0,[0,[2,V4r],Wg]];case 63:return[0,[0,[2,V4r],Ug]];case 64:return Dsr;case 65:return[0,[0,Ssr,D5r]];case 66:return[0,D5r];case 67:return[0,[0,Esr,j5r]];case 68:return[0,[0,Psr,z5r]];case 69:return[0,z5r];case 70:return[0,q5r];case 71:return jsr;default:return[0,H5r]}switch(e){case 0:return[0,[0,qor,[0,[2,H4r],Hor]]];case 1:return[0,H4r];case 2:return zor;case 3:return Xor;case 4:return Oor;case 5:return $or;case 6:return Gor;case 7:return[0,[0,Vor,wg]];case 8:return[0,[0,[2,_g],Jor]];case 9:return Zor;case 10:return Kor;case 11:return rsr;case 12:return esr;case 13:return[0,[0,[2,_g],nsr]];case 14:return tsr;case 15:return[0,[0,[2,z4r],asr]];case 16:return[0,[0,usr,Ng]];case 17:return isr;case 18:return csr;case 19:return fsr;case 20:return[0,[0,[2,V4r],osr]];case 21:return[0,[0,[2,O4r],ssr]];case 22:return[0,[0,[2,O4r],lsr]];case 23:return[0,[0,vsr,Mg]];case 24:return[0,[0,bsr,K4r]];case 25:return psr;case 26:return dsr;case 27:return hsr;case 28:return[0,K4r];case 29:return[0,[0,msr,t5r]];case 30:return[0,[0,ksr,c5r]];case 31:return[0,[0,xsr,[0,ysr,Tg]]];case 32:return wsr;case 33:return[0,[0,[2,V4r],_sr]];case 34:return[0,[0,[2,O4r],o5r]];case 35:return[0,[0,gsr,b5r]];default:return[0,[0,Nsr,m5r]]}},Gne=function(r,e){var n=r;if(66<=n){if(99<=n)switch(n){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return yu;case 108:return vu;case 109:return Jp;case 110:return Bm;case 111:return[6,e];case 112:return Vv;case 113:return of;case 114:return um;case 115:return To;case 116:return[7,e];case 117:return Qh;case 118:return Z;case 119:return Wp;case 120:return es;case 121:return sh;case 122:return qo;case 123:return Eo;case 124:return qv;case 125:return _d;case 126:return om;case 127:return Pl;case 128:return ou;case 129:return Il;default:return Sd}switch(n){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return[3,e];case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return[4,e];case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return[5,e]}}if(33<=n)switch(n){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return[1,e];case 57:return 54;case 58:return 55;case 59:return 56;case 60:return[2,e];case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(n){case 0:throw zm([0,k_,Yor],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return[0,e];case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}},Vne=function(r){var e=r;if(66<=e){if(99<=e)switch(e){case 99:return 92;case 100:return 93;case 101:return 94;case 102:return 95;case 103:return 96;case 104:return 97;case 105:return 98;case 106:return 99;case 107:return yu;case 108:return vu;case 109:return Jp;case 110:return Bm;case 111:return nBr;case 112:return Vv;case 113:return of;case 114:return um;case 115:return To;case 116:return tBr;case 117:return Qh;case 118:return Z;case 119:return Wp;case 120:return es;case 121:return sh;case 122:return qo;case 123:return Eo;case 124:return qv;case 125:return _d;case 126:return om;case 127:return Pl;case 128:return ou;case 129:return Il;default:return Sd}switch(e){case 66:return 62;case 67:return 63;case 68:return 64;case 69:return 65;case 70:return 66;case 71:return 67;case 72:return 68;case 73:return 69;case 74:return 70;case 75:return 71;case 76:return 72;case 77:return 73;case 78:return 74;case 79:return 75;case 80:return 76;case 81:return 77;case 82:return 78;case 83:return KAr;case 84:return 79;case 85:return 80;case 86:return 81;case 87:return 82;case 88:return 83;case 89:return 84;case 90:return 85;case 91:return rBr;case 92:return 86;case 93:return 87;case 94:return 88;case 95:return 89;case 96:return 90;case 97:return 91;default:return eBr}}if(33<=e)switch(e){case 33:return 31;case 34:return 32;case 35:return 33;case 36:return 34;case 37:return 35;case 38:return 36;case 39:return 37;case 40:return 38;case 41:return 39;case 42:return 40;case 43:return 41;case 44:return 42;case 45:return 43;case 46:return 44;case 47:return 45;case 48:return 46;case 49:return 47;case 50:return 48;case 51:return 49;case 52:return 50;case 53:return 51;case 54:return 52;case 55:return 53;case 56:return JAr;case 57:return 54;case 58:return 55;case 59:return 56;case 60:return ZAr;case 61:return 57;case 62:return 58;case 63:return 59;case 64:return 60;default:return 61}switch(e){case 0:throw zm([0,k_,GAr],1);case 1:return 0;case 2:return 1;case 3:return 2;case 4:return 3;case 5:return 4;case 6:return 5;case 7:return 6;case 8:return 7;case 9:return 8;case 10:return 9;case 11:return 10;case 12:return 11;case 13:return 12;case 14:return 13;case 15:return 14;case 16:return 15;case 17:return 16;case 18:return 17;case 19:return 18;case 20:return 19;case 21:return VAr;case 22:return 20;case 23:return 21;case 24:return 22;case 25:return 23;case 26:return 24;case 27:return 25;case 28:return 26;case 29:return 27;case 30:return 28;case 31:return 29;default:return 30}},Jne=function(r){return r[1]},Zne=function(r){return QA(_Br,PT(ire,r))},Kne=function(r){var e=QA(xBr,PT(ire,r)),n=QA(wBr,PT(bre,r));return 0===iy(e,n)?e:e+" (e.g. '"+n+"')"},rte=function(r){pre[4].call(null,r);var e=QA(LTr,FT(cre[1]));return cre[1]=0,e};if(uw(jne,LUr)&&uw(jne,DUr)&&Jy(jne,SUr)){var ete=KGr[24].call(null,jne),nte=KGr[31].call(null,ete);if(Yy(e_(KGr[23],nte),EUr)){var tte=KGr[24].call(null,jne),ate=KGr[33].call(null,tte);e_(KGr[23],ate);break r}}}bYr([0,XA]),bYr([0,XA]);var ute=cx(Pb);bYr([0,XA]),MB([0,XA]);function ite(r){var e=[16,[0,kLr,[0,r]]];return function(r,n,t){return Pne(e,0,n,t)}}bYr([0,oB]);ite(0),ite(1);function cte(r,e){var n=[20,[0,r]];function t(r,e,t){return Pne(n,0,e,t)}var a=ite(e);return function(r,e,n){return Ene(a,t,r,e,n)}}r:{if(uw(ute,jUr)&&uw(ute,YUr)&&Jy(ute,HUr)){var fte=KGr[24].call(null,ute),ote=KGr[31].call(null,fte);if(Yy(e_(KGr[23],ote),qUr)){var ste=KGr[24].call(null,ute),lte=KGr[33].call(null,ste);e_(KGr[23],lte);break r}}}cte(10,function(r){switch(r){case 14:var e=21;break;case 3:case 8:e=8;break;case 4:case 9:e=16;break;case 5:case 10:e=32;break;default:throw zm([0,k_,PUr],1)}return 32-e|0}(14)),bYr([0,XA]),bYr([0,XA]);var vte=QB([0,oy]),bte=MB([0,oy]),pte=QB([0,XA]);function dte(r,e,n,t){return RYr(r,NYr(e,"M0006",xRr,0,0,0,n_(RU(yRr),n,t)))}function hte(r,e,n,t){return RYr(r,NYr(nYr,kRr,mRr,0,0,0,t_(RU(hRr),n,e,t)))}function mte(r,e){return NYr(r,"M0009",bRr,0,0,0,e_(RU(vRr),e))}function kte(r,e){var n=e+qc,t=JCr(e,tRr);return wT(SDr(aRr,e))?t:e_(r,n)?n:t}function yte(r,e,n){var t=tSr(n_(n,mw,e));return mw(t)?[0,t]:[1,mte(r,t)]}function xte(r,e,n,t,a){var u=yte(t,a[2],kte);if(0!==u[0])return RYr(r,u[1]);var i=[0,[0,a[1],u[1]]];return n[1]=i,e[1]=vte[4].call(null,i,t,e[1]),0}function wte(r,e,n,t,a,u){return mw(a)?(n[1]=[1,[0,a,u]],e[1]=vte[4].call(null,n[1],t,e[1]),0):RYr(r,mte(t,a))}function _te(r,e){return r===Ph?e:JCr(r,e)}function gte(r,e,n){var t=r[3],a=r[2],u=r[1];return AYr(AYr(YYr(0,function(r){return[0,pte[35].call(null,function(e,n){if(e===jt)return RYr(r,NYr(nYr,"M0013",uRr,0,0,0,'the "prim" package is built-in, and cannot be mapped to a directory')),rRr;var t=tSr(n);return mw(t)?t:(RYr(r,NYr(nYr,"M0012",cRr,0,0,0,n_(RU(iRr),t,e))),eRr)},u)]}),function(r){return AYr(YYr(0,function(r){return[0,pte[35].call(null,function(e,n){if(0===n[0]){var t=n[1],a=t[2],u=t[1];return[0,(EDr(u)||RYr(r,NYr(nYr,OUr,XUr,0,0,0,e_(RU(zUr),e))),[0,u,a])]}var i=n[1],c=i[1],f=i[2],o=kGr(c);if(0===o[0])var s=o[1],l=29>>0)var y=e_(RU(lBr),m);else switch(k){case 0:var x=PT(function(r){return UT(sre(r))},f),w=QA(gBr,dre(PT(ire,lA(F4r[26],x))));y=n_(RU(vBr),m,w);break;case 1:var _=QA(yBr,dre(PT(Zne,lA(hre,PT(sre,f)))));y=n_(RU(bBr),m,_);break;case 2:var g=PT(Jne,f),N=QA(mBr,dre(PT(rte,lA(F4r[28],g))));y=n_(RU(pBr),m,N);break;default:var I=QA(kBr,dre(PT(Kne,lA(hre,PT(sre,f)))));y=n_(RU(dBr),m,I)}return RYr(r,NYr(v,"M0001",hBr,0,0,0,y))}throw zm([0,k_,sBr],1)}if(U3r[1]=[0,r],!u&&!DFr[1])return a_(F4r[6],function(r){return[0,r]},function(r,n){return e(r,n),0},v,b);for(var t=[0,b];;){var a=v();switch(t[0]){case 0:var i=t[1];if("number"!=typeof i&&0===i[0]){var c=i[1];r:{e:n:{t:{var f=n_(F4r[1],i,a);a:for(;;){if("number"==typeof f)break n;switch(f[0]){case 0:break t;case 4:break a;case 3:break e;default:f=n_(F4r[2],0,f)}}var o=[0,[2,f[1]]];break r}o=[0,[0,f]];break r}o=[1,f]}if(0===o[0]){var s=o[1];break}var l=o[1];e(i,l),yre(c);var d=[Ih,"Result",Gy()],h=[0,0];r:{e:{n:{for(var m=0,k=c;;){var y=e_(F4r[13],k);if(!y)break;var x=y[1][4],w=function(r,e){for(var n=r,t=e;;){if(0===t){var a=e_(F4r[13],n);return a?e_(F4r[9],a[1][1]):-1}var u=e_(F4r[21],n);if(!u){if(1===t)return-1;throw zm([0,k_,jV],1)}n=u[1],t=t-1|0}},_=w(k,0),g=$ne(_);if("number"==typeof g)var N=0;else if(0===g[0])N=g[1];else N=e_(g[1],w(k,Fk(Y4r,_)[1+_]));var I=_re(k);let r=d,e=h,n=x;var M=function(a,u){if("number"==typeof u)throw zm(d_,1);switch(u[0]){case 0:var i=e_(F4r[11],u[1]);return n_(F4r[22],i,a);case 1:var c=u[1];if(0===c[0]){var f=c[1],o=[0,c];0===e[1]&&(e[1]=[0,o]);var s=wre(1,[0,Gne(f,xre([0,n,n,1],c)),n,n],a);if("number"==typeof s)throw zm([0,k_,PV],1);if(ft<=s[1])throw zm([0,r,s[2]],1);return s[2][2]}var l=0===e[1]?1:0,v=c[1],b=[0,c];if(l){switch(v){case 0:var p=1;break;case 15:p=1;break;case 17:p=1;break;case 20:p=1;break;case 21:p=1;break;case 22:p=1;break;case 23:p=1;break;case 24:p=1;break;case 25:p=1;break;case 26:p=1;break;case 27:p=1;break;case 28:p=1;break;case 29:p=1;break;case 30:p=1;break;case 31:p=1;break;case 32:p=1;break;case 33:p=1;break;case 34:p=1;break;case 35:p=1;break;case 36:p=1;break;case 37:p=1;break;case 38:p=1;break;case 39:p=1;break;case 45:p=1;break;case 54:p=1;break;case 55:p=1;break;case 56:p=1;break;case 57:p=1;break;case 58:p=1;break;case 59:p=1;break;case 66:p=1;break;case 67:p=1;break;case 68:p=1;break;case 69:p=1;break;case 101:p=1;break;default:p=0}var 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p=[0,FT(f),0];break r}p=[0,FT(f),[0,l,s]]}var d=w3r(c,a[1],1,p[1],p[2]),h=d[2],m=0===n?1:0,k=d[1];(m?jYr(r):m)&&i1r(c);var y=Mzr(c[24]);return[0,k,[0,h[1],h[2],h[3],h[4],h[5],h[6],y]]},a)}),function(r){return AYr(YYr(0,function(r){return Jre(r,Vre(r,a[2])),MBr}),function(e){return IYr(r)})})})}function Bte(r,e,n){var t=n[3][1];return dzr([0,t],function(a){return $Cr(t),AYr(YYr(0,function(t){return B0r(function(n){var a=m0r(t,r),u=[0,a[1],a[2],a[3],a[4],a[5],a[6],a[7],a[8],a[9],a[10],a[11],a[12],a[13],a[14],a[15],a[16],a[17],a[18],a[19],a[20],a[21],0!==e?1:0,a[23],a[24],a[25],a[26],0],i=n[2],c=i[2],f=i[1],o=bZr(n),s=o[1],l=w3r(u,n[1],0,s,o[2])[1];$T(function(r,e){return r[3]=e[3][1],0},f,s),c[3]=[0,l,ag[2]];var v=c[2];switch(v[0]){case 0:var b=V0r(0,0,0,u,c[1],"M0000",y8);break;case 1:b=V0r(0,0,0,u,c[1],"M0144",x8);break;case 2:Yy(c[1],nYr)&&Z0r(0,0,0,u,[0,[0,n[3][1],H_[2],H_[3]],[0,n[3][1],H_[2],H_[3]]],_8,w8);b=OKr(n[3][1],l);break;case 3:var p=v[4],d=v[5];uZr(p)&&V0r(0,0,0,u,c[1],"M0143",g8);var h=PT(function(r){return kT(r[3])},d),m=PT(function(r){return[1,r,0]},h),k=vXr(l);if("number"!=typeof k&&8===k[0]){var y=k[5];if(y&&!y[2]){var x=k[4],w=vXr(oXr(m,y[1]));if("number"!=typeof w&&9===w[0]){var _=w[3],g=PT(function(r){return oXr(m,r)},x),N=hzr(p[2],[0,0,_]),I=[0,[0,p[2],N],0],M=[8,0,0,0,[0,r$r,0],[0,[8,0,0,[0,zOr,0],PT(function(r){return uXr(h,r)},g),[0,[9,0,[0,qOr,0],_],0]],0]],T=[0,[0,N8,Xzr(3,[0,[0,p[2],M],0])],0],A=Ozr(3,[0,[0,p[2],l],T],I);b=OKr(n[3][1],A);break}throw zm([0,k_,I8],1)}}throw zm([0,k_,M8],1);default:b=$Kr(n[3][1],[0,f,v[1],v[2],l])}var B=0===e?1:0;(B?jYr(t):B)&&i1r(u);var W=Mzr(u[24]);return[0,b[1],b[2],b[3],b[4],b[5],b[6],W]},n)}),function(r){return $Cr(t),AYr(YYr(0,function(r){var e=bZr(n);return Jre(r,Vre(r,DM(e[1],e[2]))),IBr}),function(e){return IYr(r)})})})}function Wte(r,e,n){return n_(BU(EM,DRr),r,e),HT(PYr,n),JFr(1)}function Ute(r,e,n){var t=Nte(0,A3r,hB(0,e),C4r,r);if(0!==t[0])return Wte(LRr,r,t[1]);var a=t[1][1],u=Ate(0,n,0,1,a);return 0===u[0]?[0,a,zKr(n,u[1][1][2])]:Wte(FRr,r,u[1])}var Rte=Ute(HRr,'/*\nThe prelude. This stuff is always initially in scope.\nThis should only be type definitions for primitive types.\n*/\n\ntype Any = prim "Any";\ntype None = prim "None";\ntype Null = prim "Null";\ntype Bool = prim "Bool";\ntype Nat = prim "Nat";\ntype Nat8 = prim "Nat8";\ntype Nat16 = prim "Nat16";\ntype Nat32 = prim "Nat32";\ntype Nat64 = prim "Nat64";\ntype Int = prim "Int";\ntype Int8 = prim "Int8";\ntype Int16 = prim "Int16";\ntype Int32 = prim "Int32";\ntype Int64 = prim "Int64";\ntype Float = prim "Float";\ntype Float32 = prim "Float32";\ntype Char = prim "Char";\ntype Text = prim "Text";\ntype Blob = prim "Blob";\ntype Error = prim "Error";\ntype Principal = prim "Principal";\ntype Region = prim "Region";\n',d0r),Qte=Rte[1],Cte=Ute("internals",'/*\nInternal definitions.\n\nThis file defines types and values that should always be in scope (because they\nare used by the desugarer, by ir-to-ir-passes or by `mo:⛔`), but not user\nvisible. All names here are prefixed with `@`, so they are invisible from user\ncode, and cannot be shadowed.\n*/\n\ntype @Iter = { next : () -> ?T_ };\n\nvar @cycles : Nat = 0;\nvar @timeout : ?Nat32 = null;\n\n// Function called by backend to add funds to call.\n// DO NOT RENAME without modifying compilation.\nfunc @add_cycles() {\n let cycles = @cycles;\n @reset_cycles();\n if (cycles != 0) {\n (prim "cyclesAdd" : Nat -> ()) cycles;\n };\n switch @timeout {\n case (?timeout) {\n @timeout := null;\n (prim "timeoutSet" : Nat32 -> ()) timeout;\n };\n case null ();\n };\n};\n\n// Function called by backend to zero cycles on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_cycles() {\n @cycles := 0;\n};\n\n// The @ in the name ensures that this cannot be shadowed by user code, so\n// compiler passes can rely on them being in scope\n\n// Implementations for overloaded dot operations\n// Note that these return functions!\n// (Some optimizations in the backend might be feasible.)\n\nfunc @immut_array_get(xs : [A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @mut_array_get(xs : [var A]) : Nat -> A = func(n : Nat) : A = xs[n];\nfunc @immut_array_size(xs : [A]) : () -> Nat = func() : Nat = (prim "array_len" : [A] -> Nat) xs;\nfunc @mut_array_size(xs : [var A]) : () -> Nat = func() : Nat = (prim "array_len" : [var A] -> Nat) xs;\nfunc @mut_array_put(xs : [var A]) : (Nat, A) -> () = func(n : Nat, x : A) = (xs[n] := x);\nfunc @immut_array_keys(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @mut_array_keys(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @immut_array_vals(xs : [A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @mut_array_vals(xs : [var A]) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = xs.size();\n public func next() : ?A {\n if (i >= l) null else { let j = i; i += 1; ?xs[j] };\n };\n};\nfunc @blob_size(b : Blob) : () -> Nat = func() : Nat = (prim "blob_size" : Blob -> Nat) b;\nfunc @blob_keys(b : Blob) : () -> @Iter = func() : @Iter = object {\n var i = 0;\n let l = (prim "blob_size" : Blob -> Nat) b;\n public func next() : ?Nat { if (i >= l) null else { let j = i; i += 1; ?j } };\n};\nfunc @blob_get(b : Blob) : Nat -> Nat8 = func(n : Nat) : Nat8 = b[n];\nfunc @blob_vals(xs : Blob) : () -> @Iter = func() : @Iter = object {\n type BlobIter = Any; // not exposed\n let i = (prim "blob_vals_iter" : Blob -> BlobIter) xs;\n public func next() : ?Nat8 {\n if ((prim "blob_iter_done" : BlobIter -> Bool) i) null else ?((prim "blob_iter_next" : BlobIter -> Nat8) i);\n };\n};\nfunc @text_size(xs : Text) : () -> Nat = func() : Nat = (prim "text_len" : Text -> Nat) xs;\nfunc @text_chars(xs : Text) : () -> @Iter = func() : @Iter = object {\n type TextIter = Any; // not exposed\n let i = (prim "text_iter" : Text -> TextIter) xs;\n public func next() : ?Char {\n if ((prim "text_iter_done" : TextIter -> Bool) i) null else ?((prim "text_iter_next" : TextIter -> Char) i);\n };\n};\n\n// Internal helper functions for the show translation\n\n// The text_of functions do not need to be exposed; the user can just use\n// the show above.\n\nfunc @text_of_num(x : Nat, base : Nat, sep : Nat, digits : Nat -> Text) : Text {\n var text = "";\n var n = x;\n\n if (n == 0) return "0";\n\n var i = 0;\n while (n > 0) {\n let rem = n % base;\n if (sep > 0 and i == sep) { text := "_" # text; i := 0 };\n text := digits rem # text;\n n := n / base;\n i += 1;\n };\n text;\n};\n\nfunc @left_pad(pad : Nat, char : Text, t : Text) : Text {\n if (pad > t.size()) {\n var i : Nat = pad - t.size();\n var text = t;\n while (i > 0) {\n text := char # text;\n i -= 1;\n };\n text;\n } else {\n t;\n };\n};\n\nfunc @digits_dec(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + 0x30)));\n\nfunc @text_of_Nat(x : Nat) : Text {\n @text_of_num(x, 10, 3, @digits_dec);\n};\n\nfunc @text_of_Int(x : Int) : Text {\n if (x == 0) "0" else (if (x < 0) "-" else "+") #\n @text_of_Nat((prim "abs" : Int -> Nat) x);\n};\n\nfunc @digits_hex(x : Nat) : Text = (prim "conv_Char_Text" : Char -> Text)((prim "num_conv_Nat32_Char" : Nat32 -> Char)((prim "num_wrap_Int_Nat32" : Int -> Nat32)(x + (if (x < 10) 0x30 else 55))));\n\n// There is some duplication with the prim_module, but we need these here\n// before we can load the prim module\nfunc @int64ToInt(n : Int64) : Int = (prim "num_conv_Int64_Int" : Int64 -> Int) n;\nfunc @int32ToInt(n : Int32) : Int = (prim "num_conv_Int32_Int" : Int32 -> Int) n;\nfunc @int16ToInt(n : Int16) : Int = (prim "num_conv_Int16_Int" : Int16 -> Int) n;\nfunc @int8ToInt(n : Int8) : Int = (prim "num_conv_Int8_Int" : Int8 -> Int) n;\nfunc @nat64ToNat(n : Nat64) : Nat = (prim "num_conv_Nat64_Nat" : Nat64 -> Nat) n;\nfunc @nat32ToNat(n : Nat32) : Nat = (prim "num_conv_Nat32_Nat" : Nat32 -> Nat) n;\nfunc @nat16ToNat(n : Nat16) : Nat = (prim "num_conv_Nat16_Nat" : Nat16 -> Nat) n;\nfunc @nat8ToNat(n : Nat8) : Nat = (prim "num_conv_Nat8_Nat" : Nat8 -> Nat) n;\n\nfunc @text_of_Nat8(x : Nat8) : Text = @text_of_Nat(@nat8ToNat x);\nfunc @text_of_Nat16(x : Nat16) : Text = @text_of_Nat(@nat16ToNat x);\nfunc @text_of_Nat32(x : Nat32) : Text = @text_of_Nat(@nat32ToNat x);\nfunc @text_of_Nat64(x : Nat64) : Text = @text_of_Nat(@nat64ToNat x);\nfunc @text_of_Int8(x : Int8) : Text = @text_of_Int(@int8ToInt x);\nfunc @text_of_Int16(x : Int16) : Text = @text_of_Int(@int16ToInt x);\nfunc @text_of_Int32(x : Int32) : Text = @text_of_Int(@int32ToInt x);\nfunc @text_of_Int64(x : Int64) : Text = @text_of_Int(@int64ToInt x);\nfunc @text_of_Float(x : Float) : Text = (prim "Float->Text" : Float -> Text) x;\nfunc @text_of_Float32(x : Float32) : Text = (prim "Float32->Text" : Float32 -> Text) x;\n\nfunc @text_of_Bool(b : Bool) : Text {\n if (b) "true" else "false";\n};\n\nfunc @text_of_Text(t : Text) : Text {\n // TODO: Escape properly\n "\\"" # t # "\\"";\n};\n\nfunc @text_of_Char(c : Char) : Text {\n // TODO: Escape properly\n "\\\'" # (prim "conv_Char_Text" : Char -> Text) c # "\\\'";\n};\n\nfunc @text_of_Blob(blob : Blob) : Text {\n var t = "\\"";\n for (b in blob.values()) {\n // Could do more clever escaping, e.g. leave ascii and utf8 in place\n t #= "\\\\" # @left_pad(2, "0", @text_of_num(@nat8ToNat b, 16, 0, @digits_hex));\n };\n t #= "\\"";\n return t;\n};\n\nfunc @text_has_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?\'(\') true;\n case _ false;\n };\n};\n\nfunc @text_needs_parens(t : Text) : Bool {\n switch (t.chars().next()) {\n case (?(\'+\' or \'-\' or \'?\' or \'#\')) true;\n case _ false;\n };\n};\n\nfunc @text_of_option(f : T -> Text, x : ?T) : Text {\n switch (x) {\n case (?y) {\n let fy = f y;\n if (@text_needs_parens(fy)) "?(" # fy # ")" else "?" # fy;\n };\n case null { "null" };\n };\n};\n\nfunc @text_of_variant(l : Text, f : T -> Text, x : T) : Text {\n let fx = f x;\n if (fx == "()") "#" # l else if (@text_has_parens(fx)) "#" # l # fx else "#" # l # "(" # fx # ")";\n};\n\nfunc @text_of_array(f : T -> Text, xs : [T]) : Text {\n var text = "[";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @text_of_array_mut(f : T -> Text, xs : [var T]) : Text {\n var text = "[var";\n var first = true;\n for (x in xs.values()) {\n if first {\n first := false;\n text #= " ";\n } else {\n text #= ", ";\n };\n text #= f x;\n };\n text # "]";\n};\n\nfunc @equal_array(eq : (T, T) -> Bool, a : [T], b : [T]) : Bool {\n if (a.size() != b.size()) {\n return false;\n };\n var i = 0;\n let s = a.size();\n while (i < s) {\n if (not eq(a[i], b[i])) {\n return false;\n };\n i += 1;\n };\n return true;\n};\n\ntype @CleanCont = () -> ();\ntype @BailCont = @CleanCont;\ntype @Cont = T -> ();\ntype @Async = (@Cont, @Cont, @BailCont) -> {\n #suspend;\n #schedule : () -> ();\n};\n\ntype @Refund = Nat;\ntype @Result = { #ok : (refund : @Refund, value : T); #error : Error };\n\ntype @Waiter = (@Refund, T) -> ();\n\nvar @refund : @Refund = 0;\n\n// Function called by backend to zero refunds on context switch.\n// DO NOT RENAME without modifying compilation.\nfunc @reset_refund() {\n @refund := 0;\n};\n\nfunc @getSystemRefund() : @Refund {\n return (prim "cyclesRefunded" : () -> Nat)();\n};\n\n// trivial cleanup action\nfunc @cleanup() {};\n\nfunc @new_async() : (@Async, @Cont, @Cont, @CleanCont) {\n let w_null = func(r : @Refund, t : T) {};\n let r_null = func(_ : Error) {};\n var result : ?(@Result) = null;\n var ws : @Waiter = w_null;\n var rs : @Cont = r_null;\n let getRefund = @cycles != 0;\n\n func fulfill(t : T) {\n switch result {\n case null {\n let refund = if getRefund @getSystemRefund() else 0;\n result := ?(#ok(refund, t));\n let ws_ = ws;\n ws := w_null;\n rs := r_null;\n ws_(refund, t);\n };\n case (?_) { assert false };\n };\n };\n\n func fail(e : Error) {\n switch result {\n case null {\n result := ?(#error e);\n let rs_ = rs;\n ws := w_null;\n rs := r_null;\n rs_(e);\n };\n case (?_) { assert false };\n };\n };\n\n var cleanup : @BailCont = @cleanup;\n\n func enqueue(k : @Cont, r : @Cont, b : @BailCont) : {\n #suspend;\n #schedule : () -> ();\n } {\n cleanup := b;\n switch result {\n case null {\n let ws_ = ws;\n ws := func(r : @Refund, t : T) {\n ws_(r, t);\n @reset_cycles();\n @refund := r;\n k(t);\n };\n let rs_ = rs;\n rs := func(e : Error) {\n rs_(e);\n @reset_cycles();\n @reset_refund();\n r(e);\n };\n #suspend;\n };\n case (?#ok(r, t)) {\n #schedule(func() { @refund := r; k(t) });\n };\n case (?#error e) {\n #schedule(func _ = r(e));\n };\n };\n };\n\n (enqueue, fulfill, fail, func() = cleanup());\n};\n\n// Subset of IC management canister interface required for our use\nmodule @ManagementCanister = {\n public type wasm_module = Blob;\n public type canister_settings = {\n controllers : ?[Principal];\n compute_allocation : ?Nat;\n memory_allocation : ?Nat;\n freezing_threshold : ?Nat;\n };\n};\n\ntype @WasmMemoryPersistence = {\n #keep;\n #replace;\n};\n\ntype @UpgradeOptions = {\n wasm_memory_persistence : ?@WasmMemoryPersistence;\n};\n\nlet @ic00 = actor "aaaaa-aa" : actor {\n create_canister : {\n settings : ?@ManagementCanister.canister_settings;\n sender_canister_version : ?Nat64;\n } -> async { canister_id : Principal };\n install_code : {\n mode : {\n #install;\n #reinstall;\n #upgrade : ?@UpgradeOptions;\n };\n canister_id : Principal;\n wasm_module : @ManagementCanister.wasm_module;\n arg : Blob;\n sender_canister_version : ?Nat64;\n } -> async ();\n};\n\nfunc @install_actor_helper(\n install_arg : {\n #new : { settings : ?@ManagementCanister.canister_settings };\n #install : Principal;\n #reinstall : actor {};\n #upgrade : actor {};\n #upgrade_with_persistence : {\n wasm_memory_persistence : @WasmMemoryPersistence;\n canister : actor {};\n };\n },\n enhanced_orthogonal_persistence : Bool,\n wasm_module : Blob,\n arg : Blob,\n) : async* Principal = async* {\n let (mode, canister_id) = switch install_arg {\n case (#new settings) {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat) available;\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings with sender_canister_version;\n };\n (#install, canister_id);\n };\n case (#install principal1) { (#install, principal1) };\n case (#reinstall actor1) {\n (#reinstall, (prim "principalOfActor" : (actor {}) -> Principal) actor1);\n };\n case (#upgrade actor2) {\n let wasm_memory_persistence = if enhanced_orthogonal_persistence {\n ?(#keep);\n } else {\n null;\n };\n let upgradeOptions = {\n wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) actor2);\n };\n case (#upgrade_with_persistence { wasm_memory_persistence; canister }) {\n let upgradeOptions = {\n wasm_memory_persistence = ?wasm_memory_persistence;\n };\n ((#upgrade(?upgradeOptions)), (prim "principalOfActor" : (actor {}) -> Principal) canister);\n };\n };\n await @ic00.install_code {\n mode;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// It would be desirable if create_actor_helper can be defined\n// without paying the extra self-remote-call-cost\n// TODO: This helper is now only used by Prim.createActor and could be removed, except\n// that Prim.createActor was mentioned on the forum and might be in use. (#3420)\nfunc @create_actor_helper(wasm_module : Blob, arg : Blob) : async Principal = async {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n let accepted = (prim "cyclesAccept" : Nat -> Nat)(available);\n let sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n @cycles += accepted;\n let { canister_id } = await @ic00.create_canister {\n settings = null;\n sender_canister_version;\n };\n await @ic00.install_code {\n mode = #install;\n canister_id;\n wasm_module;\n arg;\n sender_canister_version = ?(prim "canister_version" : () -> Nat64)();\n };\n return canister_id;\n};\n\n// raw calls\nfunc @call_raw(p : Principal, m : Text, a : Blob) : async Blob {\n let available = (prim "cyclesAvailable" : () -> Nat)();\n if (available != 0) {\n @cycles := (prim "cyclesAccept" : Nat -> Nat) available;\n };\n await (prim "call_raw" : (Principal, Text, Blob) -> async Blob)(p, m, a);\n};\n\n// helpers for reifying ic0.call_perform failures as errors\nfunc @call_succeeded() : Bool {\n (prim "call_perform_status" : () -> Nat32)() == 0;\n};\n\nfunc @call_error() : Error {\n let status = (prim "call_perform_status" : () -> Nat32)();\n let message = (prim "call_perform_message" : () -> Text)();\n let code = #call_error({ err_code = status });\n (prim "cast" : ({ #call_error : { err_code : Nat32 } }, Text) -> Error)(code, message);\n};\n\n// default timer mechanism implementation\n// fundamental node invariant: max_exp pre <= expire <= min_exp post\n// corollary: if expire == 0 then the pre is completely expired\n//\n// Note: Below the `expire` field is an encoding of an aliased mutable field with\n// a single-element mutable array. It eliminates `--experimental-field-aliasing`\n// while compiling this file at the cost of slightly higher syntactic noise\n// as well as increased allocation and runtime cost accessing the data. Oh well.\n//\ntype @Node = {\n expire : [var Nat64];\n id : Nat;\n delay : ?Nat64;\n job : () -> async ();\n pre : ?@Node;\n post : ?@Node;\n};\n\nvar @timers : ?@Node = null;\n\nfunc @prune(n : ?@Node) : ?@Node = switch n {\n case null null;\n case (?n) {\n if (n.expire[0] == 0) {\n @prune(n.post) // by corollary\n } else {\n ?{ n with pre = @prune(n.pre) };\n };\n };\n};\n\nfunc @nextExpiration(n : ?@Node) : Nat64 = switch n {\n case null 0;\n case (?n) {\n let pivot = n.expire[0];\n if (pivot == 0) return @nextExpiration(n.post);\n let exp = @nextExpiration(n.pre);\n if (exp == 0) pivot else exp;\n };\n};\n\n// Function called by backend to run eligible timed actions.\n// DO NOT RENAME without modifying compilation.\nfunc @timer_helper() : async () {\n func Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n };\n\n let now = (prim "time" : () -> Nat64)();\n\n var gathered = 0;\n let thunks = Array_init async ())>(10, null); // we want max 10\n\n func gatherExpired(n : ?@Node) = switch n {\n case null ();\n case (?n) {\n let pivot = n.expire[0];\n if (pivot > 0) gatherExpired(n.pre); // by corollary\n if (pivot <= now and gathered < thunks.size()) {\n if (pivot > 0) {\n // not expunged yet\n thunks[gathered] := ?(n.job);\n switch (n.delay) {\n case (null or ?0) n.expire[0] := 0;\n case (?delay) {\n // re-add the node, skipping past expirations\n let expire = pivot + delay * (1 + (now - pivot) / delay);\n n.expire[0] := 0;\n // N.B. reinsert only works on pruned nodes\n func reinsert(m : ?@Node) : @Node = switch m {\n case null ({\n n with expire = [var expire];\n pre = null;\n post = null;\n });\n case (?m) {\n assert m.expire[0] != 0;\n if (expire < m.expire[0]) ({ m with pre = ?reinsert(m.pre) }) else ({\n m with post = ?reinsert(m.post)\n });\n };\n };\n @timers := ?reinsert(@prune(@timers));\n };\n };\n gathered += 1;\n };\n gatherExpired(n.post);\n };\n };\n };\n\n gatherExpired(@timers);\n\n let exp = @nextExpiration @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n if (exp == 0) @timers := null;\n\n var failed : Nat64 = 0;\n func reinsert(job : () -> async ()) {\n if (failed == 0) {\n @timers := @prune @timers;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 1;\n };\n failed += 1;\n @timers := ?(\n switch @timers {\n case (?{ id = 0; pre; post; job = j; expire; delay })\n // push top node\'s contents into pre\n ({\n expire = [var failed];\n id = 0;\n delay;\n job;\n post;\n pre = ?{ id = 0; expire; pre; post = null; delay; job = j };\n });\n case _ ({\n expire = [var failed];\n id = 0;\n delay = null;\n job;\n pre = null;\n post = @timers;\n });\n }\n );\n };\n\n for (o in thunks.values()) {\n switch o {\n case (?thunk) try ignore thunk() catch _ reinsert thunk;\n case _ return;\n };\n };\n};\n\nvar @lastTimerId = 0;\n\nfunc @setTimer(delayNanos : Nat64, recurring : Bool, job : () -> async ()) : (id : Nat) {\n @lastTimerId += 1;\n let id = @lastTimerId;\n let now = (prim "time" : () -> Nat64)();\n let expire = now + delayNanos;\n let delay = if recurring ?delayNanos else null;\n // only works on pruned nodes\n func insert(n : ?@Node) : @Node = switch n {\n case null ({\n expire = [var expire];\n id;\n delay;\n job;\n pre = null;\n post = null;\n });\n case (?n) {\n assert n.expire[0] != 0;\n if (expire < n.expire[0]) ({ n with pre = ?insert(n.pre) }) else ({\n n with post = ?insert(n.post)\n });\n };\n };\n @timers := ?insert(@prune(@timers));\n\n let exp = @nextExpiration @timers;\n if (exp == 0) @timers := null;\n ignore (prim "global_timer_set" : Nat64 -> Nat64) exp;\n\n id;\n};\n\nfunc @cancelTimer(id : Nat) {\n func graft(onto : ?@Node, branch : ?@Node) : ?@Node = switch (onto, branch) {\n case (null, null) null;\n case (null, _) branch;\n case (_, null) onto;\n case (?onto, _) { ?{ onto with post = graft(onto.post, branch) } };\n };\n\n func hunt(n : ?@Node) : ?@Node = switch n {\n case null n;\n case (?{ id = node; pre; post }) {\n if (node == id) {\n graft(pre, post);\n } else do ? { { n! with pre = hunt pre; post = hunt post } };\n };\n };\n\n @timers := hunt @timers;\n\n if (@nextExpiration @timers == 0) {\n // no more expirations ahead\n ignore (prim "global_timer_set" : Nat64 -> Nat64) 0;\n @timers := null;\n };\n};\n\nfunc @set_global_timer(time : Nat64) = ignore (prim "global_timer_set" : Nat64 -> Nat64) time;\n\n// Function that deduplicates a blob.\nfunc @dedup(b : Blob) : Blob {\n // WeakRef type.\n type WeakRef = {\n ref : weak Blob;\n };\n // A linked list of WeakRefs.\n type List = {\n var next : ?List;\n value : ?WeakRef;\n originalBlob : Blob;\n index : Nat;\n };\n func Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n };\n func Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n };\n let HASH_ARRAY_SIZE = 16_384;\n // Debug print. Will be removed.\n func debugPrint(x : Text) { (prim "print" : Text -> ()) x };\n // Simple hash function.\n func hashBlob(b : Blob) : Nat32 { (prim "crc32Hash" : Blob -> Nat32) b };\n // Import weakref allocation from rts.\n func allocWeakRef(obj : T) : weak T {\n (prim "alloc_weak_ref" : T -> weak T)(obj);\n };\n // Dereference a weak ref.\n func weakGet(w : weak T) : ?T {\n (prim "weak_get" : weak T -> ?T)(w);\n };\n func getDedupTable() : ?[var List] {\n (prim "get_dedup_table" : () -> ?[var List])();\n };\n func setDedupTable(dedupTable : [var List]) {\n (prim "set_dedup_table" : [var List] -> ())(dedupTable);\n };\n func arrayToBlob(a : [Nat8]) : Blob = (prim "arrayToBlob" : [Nat8] -> Blob) a;\n func getOriginalBlob(b : Blob) : Blob {\n // Creates a copy of the blob without the first 5 magic bytes ("!caf!").\n let copiedArr = Array_tabulate(b.size() - 5, func(i : Nat) : Nat8 = b[i + 5]);\n let originalBlob = arrayToBlob(copiedArr);\n originalBlob;\n };\n func blobCompare(b1 : Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\n\n // Helper functions for the hash array.\n //\n //\n func addToList(list : List, originalBlob : Blob, weakRef : WeakRef) : List {\n let newList = {\n var next = ?list;\n value = ?weakRef;\n originalBlob = originalBlob;\n index = list.index + 1;\n };\n newList;\n };\n\n func getFromList(list : List, originalBlob : Blob) : ?WeakRef {\n var copy = list;\n loop {\n if (blobCompare(copy.originalBlob, originalBlob) == 0) {\n return copy.value;\n } else {\n let next = copy.next;\n switch next {\n case null { return null };\n case (?next) { copy := next };\n };\n };\n };\n };\n\n func getListLen(list : List) : Nat {\n list.index;\n };\n\n func getHashArrayLen(hashArray : [var List]) : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n len += getListLen(hashArray[i]);\n i += 1;\n };\n len;\n };\n\n func addToHashArray(hashArray : [var List], b : Blob) {\n let hashValue = hashBlob(b);\n let index = @nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n let list = hashArray[index];\n let weakRef = { ref = allocWeakRef(b) };\n // Use a copy of the original blob (minus the magic bytes).\n hashArray[index] := addToList(list, getOriginalBlob(b), weakRef);\n };\n\n func getFromHashArray(hashArray : [var List], b : Blob) : ?WeakRef {\n let hashValue = hashBlob(b);\n let index = @nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n let list = hashArray[index];\n // Use the original blob (minus the magic bytes).\n getFromList(list, getOriginalBlob(b));\n };\n //\n // End helper functions.\n\n // Check if the blob has magic bytes.\n // We only deduplicate blobs which have the first 5 bytes (!caf!).\n // Otherwise, we return the original blob so that the system works as usual.\n if (b.size() < 5) {\n return b;\n };\n if (b[0] != 0x21 or b[1] != 0x63 or b[2] != 0x61 or b[3] != 0x66 or b[4] != 0x21) {\n //debugPrint("The blob doesn\'t have magic bytes so we return the original.");\n return b;\n };\n\n // Get the dedup table from the RTS.\n let ptr = getDedupTable();\n let hashArray = switch ptr {\n case (?dedupTable) {\n dedupTable;\n };\n case null {\n // This means that the dedup table was not yet created.\n let arr = Array_tabulateVar(HASH_ARRAY_SIZE, func(i : Nat) : List = { var next = null; value = null; originalBlob = ""; index = 0 });\n // We need to set it via the RTS so that it is persisted.\n setDedupTable(arr);\n arr;\n };\n };\n\n // Get the WeakRef from the hash table.\n let dedupedBlobWeakRef = getFromHashArray(hashArray, b);\n let result = switch dedupedBlobWeakRef {\n case (?weakRef) {\n // It was in the hash so we dereference the WeakRef.\n let derefed = weakGet(weakRef.ref);\n switch derefed {\n case (?derefed) { derefed };\n case null {\n // This will only happen if the blob was deallocated by the GC.\n // We put it back in the hash table so that it can be deduplicated again.\n addToHashArray(hashArray, b);\n b;\n };\n };\n };\n // It wasn\'t in the hash so we put it in\n // and return the original.\n case null {\n addToHashArray(hashArray, b);\n b;\n };\n };\n\n result;\n};\n\n// envvar-indirection for principals\nfunc @envvar_principal(envvar : Text) : Blob =\n switch ((prim "env_var" : Text -> ?Text) envvar) {\n case (?envvar) (prim "decode_principal" : Text -> Blob) envvar;\n case _ (prim "trap" : Text -> None)("envvar `" # envvar # "` not set")\r\n };\n',Rte[2]),Fte=Cte[2];function Lte(r,e){return e_(BU(EM,CRr),r),HT(PYr,e),JFr(1)}function Dte(r){var e=r[2];if("number"==typeof e)return 0===e?"/* unresolved */":WRr;switch(e[0]){case 0:var n=e[1][2];break;case 1:n=e[1][1];break;default:n=e[1]}return n}function Ste(r,e,n,t){var a=[0,bte[1]],u=[0,e],i=[0,0],c=[0,t];return TYr(function(r){var e=c[1],n=u[1];return[0,FT(i[1]),n,e]},function e(n,t){return WYr(function(t){var f=Dte(t),o=HOr[29].call(null,f,c[1]);return o?(u[1]=zKr(u[1],o[1]),IYr(0)):dzr([0,f],function(f){var o=t[2],s=Dte(t);if("number"!=typeof o)switch(o[0]){case 0:var l=o[1],v=l[2],b=l[1];if(HOr[3].call(null,v,u[1][2]))return IYr(0);if(bte[3].call(null,o,a[1])){var p=e_(RU(ARr),v);return MYr(t[1],"M0003",BRr,p)}return a[1]=bte[4].call(null,o,a[1]),AYr(n_(r,t[1],v),function(r){var t=r[1],f=r[2];return AYr(YYr(0,function(r){var e=[0,r,0,0,0];return[0,HT(function(r){return n0r(e,r)},t[2])]}),function(r){var l=0===b?n:b;return AYr(gte(Mte(0,l),t,f),function(r){return AYr(e(l,r),function(r){var e=vZr(1,t),n=[0,e[1],e[2],[0,v,e[3][2]]];return AYr(Bte(u[1],l,n),function(r){return i[1]=[0,n,i[1]],u[1]=zKr(u[1],r),c[1]=HOr[4].call(null,s,r,c[1]),a[1]=bte[6].call(null,o,a[1]),IYr(0)})})})})});case 1:var d=o[1][1];return AYr(AYr(ozr(d),function(r){var e=r[1],n=NHr(e,r[2]),t=[0,gHr[1]],a=[0,lzr[1]];return AYr(TYr(function(r){return a[1]},WYr(function r(e){return gHr[3].call(null,e,t[1])?fzr(nYr,oY,e_(RU(fY),e)):lzr[3].call(null,e,a[1])?IYr(0):(t[1]=gHr[4].call(null,e,t[1]),AYr(ozr(e),function(n){var u=n[1],i=NHr(u,n[2]);return AYr(WYr(r,i),function(r){return AYr(vzr(i,oHr,a[1]),function(r){return AYr(szr(r,u),function(r){return a[1]=lzr[4].call(null,e,r[1],a[1]),t[1]=gHr[6].call(null,e,t[1]),IYr(0)})})})}))},n)),function(r){return AYr(vzr(n,oHr,r),function(r){return AYr(szr(r,e),function(r){return IYr([0,e,r[1],r[2]])})})})}),function(r){var e=r[3],n=r[2];if(0===e){var a=e_(RU(_Rr),d);return MYr(t[1],"M0004",gRr,a)}r:try{var i=[0,HOr[1]];if(!e)throw zm([0,k_,LBr],1);var f=e[1],o=f[2];e:{var l=f[1];if("number"!=typeof o){switch(o[0]){case 7:var v=PT(function(r){return nee(n,i,r)},o[1]);break;case 8:var b=vXr(Kre(n,i,o[2]));if("number"!=typeof b&&3===b[0]&&1===b[1]){var p=b[2];HT(PYr,[0,gYr(l,"M0185",CBr,0,0,0,"importing Candid service constructor as instantiated service"),0]);v=p;break}throw zm([0,k_,FBr],1);default:break e}var h=lA(Hzr,HOr[13].call(null,function(r,e,n){if("number"!=typeof e&&1===e[0])return[0,[0,r,e[1],Tzr],n];throw zm([0,k_,QBr],1)},i[1],0)),m=[3,1,lA(Hzr,v),h];break r}}throw zm([0,k_,DBr],1)}catch(r){var k=Iw(r);if(k[1]!==qYr)throw zm(k,0);var y=[0,k[2],0],x=e_(RU(NRr),d);return[1,[0,NYr(t[1],"M0153",IRr,0,0,0,x),y]]}var w=OKr(d,m);return u[1]=zKr(u[1],w),c[1]=HOr[4].call(null,s,w,c[1]),IYr(0)});default:var h=OKr(o[1],V_);return u[1]=zKr(u[1],h),IYr(0)}if(0===o)throw zm([0,k_,MRr],1);if(HOr[3].call(null,TRr,u[1][2]))return IYr(0);var m=Nte(0,A3r,hB(0,'/*\nThe primitive definitions.\n\nThis module should contain everything that cannot be implemented in plain\nMotoko. It is available via `import Prim "mo:⛔"`. Normal user code would\nusually not import that module directly, but through `base`, which takes\ncare of providing a proper module structure, e.g. exposing `Array_tabulate`\nthrough `Array.tabulate`.\n\nTherefore, the prim module does not need to provide a stable interface, as its\nonly supported consumer is the `base` library, and that is bundled with the\ncompiler.\n\nNevertheless, it shoud be _safe_ to import prim, i.e. the definitions here\nshould not break type safety or other guarantees of the language.\n*/\n\nmodule Types = {\n public type Any = prim "Any";\n public type None = prim "None";\n public type Null = prim "Null";\n public type Bool = prim "Bool";\n public type Nat = prim "Nat";\n public type Nat8 = prim "Nat8";\n public type Nat16 = prim "Nat16";\n public type Nat32 = prim "Nat32";\n public type Nat64 = prim "Nat64";\n public type Int = prim "Int";\n public type Int8 = prim "Int8";\n public type Int16 = prim "Int16";\n public type Int32 = prim "Int32";\n public type Int64 = prim "Int64";\n public type Float = prim "Float";\n public type Float32 = prim "Float32";\n public type Char = prim "Char";\n public type Text = prim "Text";\n public type Blob = prim "Blob";\n public type Error = prim "Error";\n public type Principal = prim "Principal";\n public type Region = prim "Region";\n};\n\nfunc abs(x : Int) : Nat { (prim "abs" : Int -> Nat) x };\nfunc shiftLeft(x : Nat, shift : Nat32) : Nat {\n (prim "lsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\nfunc shiftRight(x : Nat, shift : Nat32) : Nat {\n (prim "rsh_Nat" : (Nat, Nat32) -> Nat)(x, shift);\n};\n\n// for testing\nfunc idlHash(x : Text) : Nat32 { (prim "idlHash" : Text -> Nat32) x };\n\n// Printing\n\nfunc debugPrint(x : Text) { (prim "print" : Text -> ()) x };\nfunc debugPrintNat(x : Nat) { debugPrint(@text_of_Nat x) };\nfunc debugPrintInt(x : Int) { debugPrint(@text_of_Int x) };\nfunc debugPrintChar(x : Char) { debugPrint(charToText x) };\n\n// Trapping\n\nfunc trap(x : Text) : None { (prim "trap" : Text -> None) x };\n\n// RTS stats\n\nfunc rts_version() : Text { (prim "rts_version" : () -> Text)() };\nfunc rts_memory_size() : Nat { (prim "rts_memory_size" : () -> Nat)() };\nfunc rts_heap_size() : Nat { (prim "rts_heap_size" : () -> Nat)() };\nfunc rts_total_allocation() : Nat {\n (prim "rts_total_allocation" : () -> Nat)();\n};\nfunc rts_reclaimed() : Nat { (prim "rts_reclaimed" : () -> Nat)() };\nfunc rts_max_live_size() : Nat { (prim "rts_max_live_size" : () -> Nat)() };\nfunc rts_max_stack_size() : Nat { (prim "rts_max_stack_size" : () -> Nat)() };\nfunc rts_callback_table_count() : Nat {\n (prim "rts_callback_table_count" : () -> Nat)();\n};\nfunc rts_callback_table_size() : Nat {\n (prim "rts_callback_table_size" : () -> Nat)();\n};\nfunc rts_mutator_instructions() : Nat {\n (prim "rts_mutator_instructions" : () -> Nat)();\n};\nfunc rts_collector_instructions() : Nat {\n (prim "rts_collector_instructions" : () -> Nat)();\n};\nfunc rts_lifetime_instructions() : Nat {\n (prim "rts_lifetime_instructions" : () -> Nat)();\n};\nfunc rts_upgrade_instructions() : Nat {\n (prim "rts_upgrade_instructions" : () -> Nat)();\n};\n\nfunc rts_stable_memory_size() : Nat {\n (prim "rts_stable_memory_size" : () -> Nat)();\n};\n\nfunc rts_logical_stable_memory_size() : Nat {\n (prim "rts_logical_stable_memory_size" : () -> Nat)();\n};\n\n//TODO: just call this `weak`?\nfunc allocWeakRef(obj : T) : weak T {\n (prim "alloc_weak_ref" : T -> weak T)(obj);\n};\n\nfunc weakGet(w : weak T) : ?T {\n (prim "weak_get" : weak T -> ?T)(w);\n};\n\nfunc isLive(weak_ref : weak Any) : Bool {\n (prim "weak_ref_is_live" : weak Any -> Bool)(weak_ref);\n};\n\nfunc envVarNames() : [Text] {\n (prim "env_var_names" : () -> [Text])();\n};\n\nfunc envVar(name : Text) : ?Text {\n (prim "env_var" : Text -> ?Text)(name);\n};\n\n/// EXPERIMENTAL SECTION AND API. DO NOT USE IN PRODUCTION CODE!\n///\ntype __WeakRef = {\n ref : weak Blob;\n};\ntype __List = {\n var next : ?__List;\n value : ?__WeakRef;\n originalBlob : Blob;\n index : Nat;\n};\nfunc __getDedupTable() : ?[var __List] {\n (prim "get_dedup_table" : () -> ?[var __List])();\n};\n\nclass BlobIterator(hash : [var __List]) {\n let HASH_ARRAY_SIZE = 16_384;\n var currentIndex : Nat = 0;\n var currentList : ?__List = null;\n let hashArray = hash;\n\n // Counts the number of dead blobs.\n public func size() : Nat {\n var len = 0;\n var i = 0;\n while (i < HASH_ARRAY_SIZE) {\n var list = hashArray[i];\n label countLoop loop {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) {};\n case null { len += 1 };\n };\n };\n case null {};\n };\n let next = list.next;\n switch next {\n case (?next) { list := next };\n case null { break countLoop };\n };\n };\n i += 1;\n };\n len;\n };\n\n func getDeadBlobFromListNode(list : ?__List) : ?Blob {\n switch list {\n case (?myList) {\n let weakRef = myList.value;\n switch weakRef {\n case (?weakRef) {\n let deref = weakGet(weakRef.ref);\n switch deref {\n case (?deref) { return null };\n case null { return ?myList.originalBlob };\n };\n };\n case null { return null };\n };\n };\n case null { return null };\n };\n };\n\n func advanceListNode(list : ?__List) : ?__List {\n switch list {\n case (?list) { list.next };\n case null { null };\n };\n };\n\n public func nextDeadBlob() : Blob {\n // Start at the current index and list.\n loop {\n // Get the blob from the current list node.\n let blob = getDeadBlobFromListNode(currentList);\n switch blob {\n // If we found a blob, return it.\n case (?blob) {\n // Advance to the next list node.\n // So that next time we call nextDeadBlob(), we get the next blob.\n currentList := advanceListNode(currentList);\n return blob;\n };\n case null {\n // If we didn\'t find a blob, advance to the next list node.\n currentList := advanceListNode(currentList);\n\n switch currentList {\n case (?_) {};\n // If we reached the end of the list, advance to the next index.\n case null {\n currentIndex += 1;\n // If we reached the end of the hash array, return null.\n if (currentIndex >= HASH_ARRAY_SIZE) {\n return "";\n };\n // Get the new list node.\n currentList := ?hashArray[currentIndex];\n };\n };\n\n };\n };\n };\n "";\n };\n\n func computeIndex(b : Blob) : Nat {\n // Append the magic bytes to compute the hash.\n let magicBytes : [Nat8] = [0x21, 0x63, 0x61, 0x66, 0x21];\n let originalBlob : [Nat8] = blobToArray(b);\n let concat = Array_tabulate(magicBytes.size() + originalBlob.size(), func(i : Nat) : Nat8 = if (i < magicBytes.size()) { magicBytes[i] } else { originalBlob[i - magicBytes.size()] });\n let bWithMagic = arrayToBlob(concat);\n // Get hash bucket.\n let hashValue = hashBlob(bWithMagic);\n nat32ToNat(hashValue) % HASH_ARRAY_SIZE;\n };\n\n public func isBlobLive(b : Blob) : Bool {\n let index = computeIndex(b);\n var list = hashArray[index];\n // Walk the list and check if the blob is live.\n loop {\n if (blobCompare(list.originalBlob, b) == 0) {\n let weakRef = list.value;\n switch weakRef {\n case (?weakRef) { return isLive(weakRef.ref) };\n // The weak ref should not be null, but just in case.\n case null { return false };\n };\n } else {\n // Advance to the next list node.\n let next = list.next;\n switch next {\n case (?next) { list := next };\n // If we reached the end of the list, return false.\n case null { return false };\n };\n };\n };\n };\n\n func pruneFirstElement(list : __List, b : Blob, index : Nat) : Bool {\n let deadBlob = getDeadBlobFromListNode(?list);\n switch deadBlob {\n case (?deadBlob) {\n if (blobCompare(deadBlob, b) == 0) {\n let nextElem = list.next;\n switch nextElem {\n case (?next) { hashArray[index] := next; return true };\n case null {\n // Do nothing. This case should not happen as the array is initialized\n // with a sentinel (empty) value that is non-null.};\n };\n };\n };\n };\n // No dead blob in this list node.\n case null {};\n };\n false;\n };\n\n public func pruneDeadBlobs(confirmedDeadBlobs : [Blob]) {\n // For each element in the confirmedDeadBlobs array, we check if it is in the hash array.\n // If it is, and if the corresponding WeakRef is null, we remove the whole list node\n // from the hash array.\n var i = 0;\n while (i < confirmedDeadBlobs.size()) {\n let b = confirmedDeadBlobs[i];\n // Get hash bucket.\n let index = computeIndex(b);\n // Get the list of the hash bucket and walk it until we find the blob b.\n let list = hashArray[index];\n // Special case for the first list node.\n let pruned = pruneFirstElement(list, b, index);\n if (pruned == false) {\n // If we\'re here, we know that the blob is not the first list node.\n // So we can advance to the next list node.\n var prev = ?list;\n var crntNode = advanceListNode(?list);\n label findLoop loop {\n let crntBlob = getDeadBlobFromListNode(crntNode);\n switch crntBlob {\n case (?crntBlob) {\n if (blobCompare(crntBlob, b) == 0) {\n // We found the blob and we know for sure it\'s dead.\n // We just need to prune the current list node.\n switch (prev, crntNode) {\n case (?prev, ?crntNode) {\n prev.next := crntNode.next;\n // Break the loop, we found the blob and pruned.\n break findLoop;\n };\n case _ {};\n };\n };\n };\n case null {\n // No dead blob in this list node.\n // We can advance pointers.\n prev := crntNode;\n crntNode := advanceListNode(crntNode);\n };\n };\n switch crntNode {\n case (?crntNode) {};\n // We reached the end, break.\n case null { break findLoop };\n };\n };\n };\n // Continue loop.\n i += 1;\n };\n\n };\n\n};\n\nfunc getDeadBlobs() : ?[Blob] {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n let numDeadBlobs = dedupTableIter.size();\n let deadBlobs = Array_tabulate(numDeadBlobs, func(i : Nat) : Blob { dedupTableIter.nextDeadBlob() });\n return ?deadBlobs;\n };\n case null { return null };\n };\n\n};\n\nfunc pruneConfirmedDeadBlobs(confirmedDeadBlobs : [Blob]) {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let dedupTableIter = BlobIterator(dedupTable);\n dedupTableIter.pruneDeadBlobs(confirmedDeadBlobs);\n };\n };\n};\n\nfunc isStorageBlobLive(b : Blob) : Bool {\n let dedupTableOption = __getDedupTable();\n switch dedupTableOption {\n case (?dedupTable) {\n let iter = BlobIterator(dedupTable);\n iter.isBlobLive(b);\n };\n case null { false };\n };\n};\n///\n/// END EXPERIMENTAL SECTION.\n\n// Total conversions (fixed to big)\n\nlet int64ToInt = @int64ToInt;\nlet int32ToInt = @int32ToInt;\nlet int16ToInt = @int16ToInt;\nlet int8ToInt = @int8ToInt;\nlet nat64ToNat = @nat64ToNat;\nlet nat32ToNat = @nat32ToNat;\nlet nat16ToNat = @nat16ToNat;\nlet nat8ToNat = @nat8ToNat;\n\n// Trapping conversions (big to fixed)\n\nfunc intToInt64(n : Int) : Int64 = (prim "num_conv_Int_Int64" : Int -> Int64) n;\nfunc intToInt32(n : Int) : Int32 = (prim "num_conv_Int_Int32" : Int -> Int32) n;\nfunc intToInt16(n : Int) : Int16 = (prim "num_conv_Int_Int16" : Int -> Int16) n;\nfunc intToInt8(n : Int) : Int8 = (prim "num_conv_Int_Int8" : Int -> Int8) n;\n\nfunc natToNat64(n : Nat) : Nat64 = (prim "num_conv_Nat_Nat64" : Nat -> Nat64) n;\nfunc natToNat32(n : Nat) : Nat32 = (prim "num_conv_Nat_Nat32" : Nat -> Nat32) n;\nfunc natToNat16(n : Nat) : Nat16 = (prim "num_conv_Nat_Nat16" : Nat -> Nat16) n;\nfunc natToNat8(n : Nat) : Nat8 = (prim "num_conv_Nat_Nat8" : Nat -> Nat8) n;\n\n// Wrapping conversions (big to fixed, and within fixed)\n\nfunc intToInt64Wrap(n : Int) : Int64 = (prim "num_wrap_Int_Int64" : Int -> Int64) n;\nfunc intToInt32Wrap(n : Int) : Int32 = (prim "num_wrap_Int_Int32" : Int -> Int32) n;\nfunc intToInt16Wrap(n : Int) : Int16 = (prim "num_wrap_Int_Int16" : Int -> Int16) n;\nfunc intToInt8Wrap(n : Int) : Int8 = (prim "num_wrap_Int_Int8" : Int -> Int8) n;\n\nfunc intToNat64Wrap(n : Int) : Nat64 = (prim "num_wrap_Int_Nat64" : Int -> Nat64) n;\nfunc intToNat32Wrap(n : Int) : Nat32 = (prim "num_wrap_Int_Nat32" : Int -> Nat32) n;\nfunc intToNat16Wrap(n : Int) : Nat16 = (prim "num_wrap_Int_Nat16" : Int -> Nat16) n;\nfunc intToNat8Wrap(n : Int) : Nat8 = (prim "num_wrap_Int_Nat8" : Int -> Nat8) n;\n\n// Across same width\nfunc int64ToNat64(n : Int64) : Nat64 = (prim "num_wrap_Int64_Nat64" : Int64 -> Nat64) n;\nfunc nat64ToInt64(n : Nat64) : Int64 = (prim "num_wrap_Nat64_Int64" : Nat64 -> Int64) n;\nfunc int32ToNat32(n : Int32) : Nat32 = (prim "num_wrap_Int32_Nat32" : Int32 -> Nat32) n;\nfunc nat32ToInt32(n : Nat32) : Int32 = (prim "num_wrap_Nat32_Int32" : Nat32 -> Int32) n;\nfunc int16ToNat16(n : Int16) : Nat16 = (prim "num_wrap_Int16_Nat16" : Int16 -> Nat16) n;\nfunc nat16ToInt16(n : Nat16) : Int16 = (prim "num_wrap_Nat16_Int16" : Nat16 -> Int16) n;\nfunc int8ToNat8(n : Int8) : Nat8 = (prim "num_wrap_Int8_Nat8" : Int8 -> Nat8) n;\nfunc nat8ToInt8(n : Nat8) : Int8 = (prim "num_wrap_Nat8_Int8" : Nat8 -> Int8) n;\n\n// Between adjacent widths\nfunc nat8ToNat16(n : Nat8) : Nat16 = (prim "num_conv_Nat8_Nat16" : Nat8 -> Nat16) n;\nfunc nat16ToNat32(n : Nat16) : Nat32 = (prim "num_conv_Nat16_Nat32" : Nat16 -> Nat32) n;\nfunc nat32ToNat64(n : Nat32) : Nat64 = (prim "num_conv_Nat32_Nat64" : Nat32 -> Nat64) n;\n\nfunc nat64ToNat32(n : Nat64) : Nat32 = (prim "num_conv_Nat64_Nat32" : Nat64 -> Nat32) n;\nfunc nat32ToNat16(n : Nat32) : Nat16 = (prim "num_conv_Nat32_Nat16" : Nat32 -> Nat16) n;\nfunc nat16ToNat8(n : Nat16) : Nat8 = (prim "num_conv_Nat16_Nat8" : Nat16 -> Nat8) n;\n\nfunc int8ToInt16(n : Int8) : Int16 = (prim "num_conv_Int8_Int16" : Int8 -> Int16) n;\nfunc int16ToInt32(n : Int16) : Int32 = (prim "num_conv_Int16_Int32" : Int16 -> Int32) n;\nfunc int32ToInt64(n : Int32) : Int64 = (prim "num_conv_Int32_Int64" : Int32 -> Int64) n;\n\nfunc int64ToInt32(n : Int64) : Int32 = (prim "num_conv_Int64_Int32" : Int64 -> Int32) n;\nfunc int32ToInt16(n : Int32) : Int16 = (prim "num_conv_Int32_Int16" : Int32 -> Int16) n;\nfunc int16ToInt8(n : Int16) : Int8 = (prim "num_conv_Int16_Int8" : Int16 -> Int8) n;\n\n// Exploding to bytes\nfunc explodeNat16(n : Nat16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Nat16" : Nat16 -> (Nat8, Nat8)) n;\nfunc explodeInt16(n : Int16) : (msb : Nat8, lsb : Nat8) = (prim "explode_Int16" : Int16 -> (Nat8, Nat8)) n;\nfunc explodeNat32(n : Nat32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat32" : Nat32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt32(n : Int32) : (msb : Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int32" : Int32 -> (Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeNat64(n : Nat64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Nat64" : Nat64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\nfunc explodeInt64(n : Int64) : (msb : Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, lsb : Nat8) = (prim "explode_Int64" : Int64 -> (Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8, Nat8)) n;\n\n// Char conversion and properties\n\nfunc charToNat32(c : Char) : Nat32 = (prim "num_wrap_Char_Nat32" : Char -> Nat32) c;\nfunc nat32ToChar(w : Nat32) : Char = (prim "num_conv_Nat32_Char" : Nat32 -> Char) w;\n\nfunc charToText(c : Char) : Text = (prim "conv_Char_Text" : Char -> Text) c;\n\nfunc charToUpper(c : Char) : Char = (prim "char_to_upper" : Char -> Char) c;\nfunc charToLower(c : Char) : Char = (prim "char_to_lower" : Char -> Char) c;\nfunc charIsWhitespace(c : Char) : Bool = (prim "char_is_whitespace" : Char -> Bool) c;\nfunc charIsLowercase(c : Char) : Bool = (prim "char_is_lowercase" : Char -> Bool) c;\nfunc charIsUppercase(c : Char) : Bool = (prim "char_is_uppercase" : Char -> Bool) c;\nfunc charIsAlphabetic(c : Char) : Bool = (prim "char_is_alphabetic" : Char -> Bool) c;\n\n// Blob functions\n\nfunc blobCompare(b1 : Blob, b2 : Blob) : Int8 = (prim "blob_compare" : (Blob, Blob) -> Int8)(b1, b2);\nfunc hashBlob(b : Blob) : Nat32 { (prim "crc32Hash" : Blob -> Nat32) b };\n\n// Text conversion\nfunc decodeUtf8(b : Blob) : ?Text = (prim "decodeUtf8" : Blob -> ?Text) b;\nfunc encodeUtf8(t : Text) : Blob = (prim "encodeUtf8" : Text -> Blob) t;\n\n// Text comparison\nfunc textCompare(t1 : Text, t2 : Text) : Int8 = (prim "text_compare" : (Text, Text) -> Int8)(t1, t2);\n\n// Text lowercase\nfunc textLowercase(t : Text) : Text = (prim "text_lowercase" : (Text) -> Text)(t);\n// Text uppercase\nfunc textUppercase(t : Text) : Text = (prim "text_uppercase" : (Text) -> Text)(t);\n\n// Exotic bitwise operations\nfunc popcntNat8(w : Nat8) : Nat8 = (prim "popcnt8" : Nat8 -> Nat8) w;\nfunc clzNat8(w : Nat8) : Nat8 = (prim "clz8" : Nat8 -> Nat8) w;\nfunc ctzNat8(w : Nat8) : Nat8 = (prim "ctz8" : Nat8 -> Nat8) w;\nfunc btstNat8(w : Nat8, amount : Nat8) : Bool = (prim "btst8" : (Nat8, Nat8) -> Nat8)(w, amount) != (0 : Nat8);\n\nfunc popcntNat16(w : Nat16) : Nat16 = (prim "popcnt16" : Nat16 -> Nat16) w;\nfunc clzNat16(w : Nat16) : Nat16 = (prim "clz16" : Nat16 -> Nat16) w;\nfunc ctzNat16(w : Nat16) : Nat16 = (prim "ctz16" : Nat16 -> Nat16) w;\nfunc btstNat16(w : Nat16, amount : Nat16) : Bool = (prim "btst16" : (Nat16, Nat16) -> Nat16)(w, amount) != (0 : Nat16);\n\nfunc popcntNat32(w : Nat32) : Nat32 = (prim "popcnt32" : Nat32 -> Nat32) w;\nfunc clzNat32(w : Nat32) : Nat32 = (prim "clz32" : Nat32 -> Nat32) w;\nfunc ctzNat32(w : Nat32) : Nat32 = (prim "ctz32" : Nat32 -> Nat32) w;\nfunc btstNat32(w : Nat32, amount : Nat32) : Bool = (prim "btst32" : (Nat32, Nat32) -> Nat32)(w, amount) != (0 : Nat32);\n\nfunc popcntNat64(w : Nat64) : Nat64 = (prim "popcnt64" : Nat64 -> Nat64) w;\nfunc clzNat64(w : Nat64) : Nat64 = (prim "clz64" : Nat64 -> Nat64) w;\nfunc ctzNat64(w : Nat64) : Nat64 = (prim "ctz64" : Nat64 -> Nat64) w;\nfunc btstNat64(w : Nat64, amount : Nat64) : Bool = (prim "btst64" : (Nat64, Nat64) -> Nat64)(w, amount) != (0 : Nat64);\n\nfunc popcntInt8(w : Int8) : Int8 = (prim "popcntInt8" : Int8 -> Int8) w;\nfunc clzInt8(w : Int8) : Int8 = (prim "clzInt8" : Int8 -> Int8) w;\nfunc ctzInt8(w : Int8) : Int8 = (prim "ctzInt8" : Int8 -> Int8) w;\nfunc btstInt8(w : Int8, amount : Int8) : Bool = (prim "btstInt8" : (Int8, Int8) -> Int8)(w, amount) != (0 : Int8);\n\nfunc popcntInt16(w : Int16) : Int16 = (prim "popcntInt16" : Int16 -> Int16) w;\nfunc clzInt16(w : Int16) : Int16 = (prim "clzInt16" : Int16 -> Int16) w;\nfunc ctzInt16(w : Int16) : Int16 = (prim "ctzInt16" : Int16 -> Int16) w;\nfunc btstInt16(w : Int16, amount : Int16) : Bool = (prim "btstInt16" : (Int16, Int16) -> Int16)(w, amount) != (0 : Int16);\n\nfunc popcntInt32(w : Int32) : Int32 = (prim "popcntInt32" : Int32 -> Int32) w;\nfunc clzInt32(w : Int32) : Int32 = (prim "clzInt32" : Int32 -> Int32) w;\nfunc ctzInt32(w : Int32) : Int32 = (prim "ctzInt32" : Int32 -> Int32) w;\nfunc btstInt32(w : Int32, amount : Int32) : Bool = (prim "btstInt32" : (Int32, Int32) -> Int32)(w, amount) != (0 : Int32);\n\nfunc popcntInt64(w : Int64) : Int64 = (prim "popcntInt64" : Int64 -> Int64) w;\nfunc clzInt64(w : Int64) : Int64 = (prim "clzInt64" : Int64 -> Int64) w;\nfunc ctzInt64(w : Int64) : Int64 = (prim "ctzInt64" : Int64 -> Int64) w;\nfunc btstInt64(w : Int64, amount : Int64) : Bool = (prim "btstInt64" : (Int64, Int64) -> Int64)(w, amount) != (0 : Int64);\n\n// Float32 conversions\n\nfunc floatToFloat32(f : Float) : Float32 = (prim "num_conv_Float_Float32" : Float -> Float32) f;\nfunc float32ToFloat(f : Float32) : Float = (prim "num_conv_Float32_Float" : Float32 -> Float) f;\n\n// Checked Float -> Float32 conversion: returns ?Float32 if round-trip stays within epsilon, null otherwise\nfunc safeFloatToFloat32(f : Float, epsilon : Float) : ?Float32 {\n let f32 = floatToFloat32 f;\n if (floatAbs(float32ToFloat f32 - f) <= epsilon) ?f32 else null\n};\n\n// Float operations\n\nfunc floatAbs(f : Float) : Float = (prim "fabs" : Float -> Float) f;\nfunc floatSqrt(f : Float) : Float = (prim "fsqrt" : Float -> Float) f;\nfunc floatCeil(f : Float) : Float = (prim "fceil" : Float -> Float) f;\nfunc floatFloor(f : Float) : Float = (prim "ffloor" : Float -> Float) f;\nfunc floatTrunc(f : Float) : Float = (prim "ftrunc" : Float -> Float) f;\nfunc floatNearest(f : Float) : Float = (prim "fnearest" : Float -> Float) f;\nfunc floatMin(f : Float, g : Float) : Float = (prim "fmin" : (Float, Float) -> Float)(f, g);\nfunc floatMax(f : Float, g : Float) : Float = (prim "fmax" : (Float, Float) -> Float)(f, g);\nfunc floatCopySign(f : Float, g : Float) : Float = (prim "fcopysign" : (Float, Float) -> Float)(f, g);\nfunc floatToInt(f : Float) : Int = (prim "num_conv_Float_Int" : Float -> Int)(f);\nfunc intToFloat(n : Int) : Float = (prim "num_conv_Int_Float" : Int -> Float)(n);\nfunc floatToInt64(f : Float) : Int64 = (prim "num_conv_Float_Int64" : Float -> Int64)(f);\nfunc int64ToFloat(n : Int64) : Float = (prim "num_conv_Int64_Float" : Int64 -> Float)(n);\n\nlet floatToText = @text_of_Float;\n\n// Configurable Float formatter\n// mode:\n// 0) fixed format "%.*f"\n// 1) exponent format "%.*e"\n// 2) generic format "%.*g"\n// 3) hexadecimal format "%.*h"\n// _) invalid (traps)\nfunc floatToFormattedText(f : Float, prec : Nat8, mode : Nat8) : Text = (prim "fmtFloat->Text" : (Float, Nat8, Nat8) -> Text)(f, prec, mode);\n\n// Trigonometric and transcendental functions\n\nfunc sin(f : Float) : Float = (prim "fsin" : Float -> Float) f;\nfunc cos(f : Float) : Float = (prim "fcos" : Float -> Float) f;\nfunc tan(f : Float) : Float = (prim "ftan" : Float -> Float) f;\nfunc arcsin(f : Float) : Float = (prim "fasin" : Float -> Float) f;\nfunc arccos(f : Float) : Float = (prim "facos" : Float -> Float) f;\nfunc arctan(f : Float) : Float = (prim "fatan" : Float -> Float) f;\nfunc arctan2(y : Float, x : Float) : Float = (prim "fatan2" : (Float, Float) -> Float)(y, x);\n\nfunc exp(f : Float) : Float = (prim "fexp" : Float -> Float) f;\nfunc log(f : Float) : Float = (prim "flog" : Float -> Float) f;\n\n// Array utilities\n\nfunc Array_init(len : Nat, x : T) : [var T] {\n (prim "Array.init" : (Nat, T) -> [var T]) (len, x);\n};\n\nfunc Array_tabulate(len : Nat, gen : Nat -> T) : [T] {\n (prim "Array.tabulate" : (Nat, Nat -> T) -> [T]) (len, gen);\n};\n\nfunc Array_tabulateVar(len : Nat, gen : Nat -> T) : [var T] {\n (prim "Array.tabulateVar" : (Nat, Nat -> T) -> [var T]) (len, gen);\n};\n\nfunc blobToArray(b : Blob) : [Nat8] = (prim "blobToArray" : (Blob) -> [Nat8]) b;\nfunc blobToArrayMut(b : Blob) : [var Nat8] = (prim "blobToArrayMut" : (Blob) -> [var Nat8]) b;\nfunc arrayToBlob(a : [Nat8]) : Blob = (prim "arrayToBlob" : [Nat8] -> Blob) a;\nfunc arrayMutToBlob(a : [var Nat8]) : Blob = (prim "arrayMutToBlob" : [var Nat8] -> Blob) a;\n\n// Error codes\ntype ErrorCode = {\n #system_fatal;\n #system_transient;\n #destination_invalid;\n #canister_reject;\n #canister_error;\n #system_unknown;\n #future : Nat32;\n #call_error : { err_code : Nat32 };\n};\n\n// creation and inspection of abstract error\nfunc error(message : Text) : Error {\n let e = (#canister_reject, message);\n (prim "cast" : (ErrorCode, Text) -> Error) e;\n};\nfunc errorCode(e : Error) : ErrorCode = ((prim "cast" : Error -> (ErrorCode, Text)) e).0;\nfunc errorMessage(e : Error) : Text = ((prim "cast" : Error -> (ErrorCode, Text)) e).1;\n\n// Message deadline (best-effort messaging)\n\nfunc replyDeadline() : Nat64 = (prim "deadline" : () -> Nat64)();\n\n// Time\n\nfunc time() : Nat64 = (prim "time" : () -> Nat64)();\n\n// Principal\n\nfunc blobOfPrincipal(id : Principal) : Blob = (prim "blobOfPrincipal" : Principal -> Blob) id;\nfunc principalOfBlob(act : Blob) : Principal {\n // TODO: better: check size in prim "principalOfBlob" instead\n if (act.size() > 29) {\n trap("blob too long for principal");\n };\n (prim "principalOfBlob" : Blob -> Principal) act;\n};\n\nfunc principalOfActor(act : actor {}) : Principal = (prim "principalOfActor" : (actor {}) -> Principal) act;\nfunc actorOfPrincipal(p : Principal) : A = (prim "actorOfPrincipal" : Principal -> A) p;\nfunc isController(p : Principal) : Bool = (prim "is_controller" : Principal -> Bool) p;\nfunc isReplicatedExecution() : Bool = (prim "replicated_execution" : () -> Bool)();\nfunc canisterVersion() : Nat64 = (prim "canister_version" : () -> Nat64)();\nfunc canisterSubnet() : Principal = (prim "canister_subnet" : () -> Principal)();\nfunc rootKey() : Blob = (prim "root_key" : () -> Blob)();\nfunc getSelfPrincipal() : Principal = (prim "canister_self" : () -> Principal)();\n\n// Untyped dynamic actor creation from blobs\nlet createActor : (wasm : Blob, argument : Blob) -> async Principal = @create_actor_helper;\n\nfunc cyclesBalance() : Nat = (prim "cyclesBalance" : () -> Nat)();\nfunc cyclesAvailable() : Nat = (prim "cyclesAvailable" : () -> Nat)();\nfunc cyclesRefunded() : Nat = @refund;\nfunc cyclesAccept(amount : Nat) : Nat = (prim "cyclesAccept" : Nat -> Nat) amount;\n\nfunc cyclesAdd(amount : Nat) : () {\n if (amount == 0) return;\n @cycles += amount;\n // trap if @cycles would exceed 2^128\n if (@cycles > 0xFFFFFFFF_FFFFFFFF_FFFFFFFF_FFFFFFFF) {\n trap("cannot add more than 2^128 cycles");\n };\n};\n\nfunc cyclesBurn(amount : Nat) : Nat = (prim "cyclesBurn" : Nat -> Nat) amount;\n\nfunc costCall(methodNameSize : Nat64, payloadSize : Nat64) : Nat = (prim "costCall" : (Nat64, Nat64) -> Nat)(methodNameSize, payloadSize);\n\nfunc costCreateCanister() : Nat = (prim "costCreateCanister" : () -> Nat)();\n\nfunc costHttpRequest(requestSize : Nat64, maxResBytes : Nat64) : Nat = (prim "costHttpRequest" : (Nat64, Nat64) -> Nat)(requestSize, maxResBytes);\n\nfunc costSignWithEcdsa(keyName : Text, curveEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithEcdsa" : (Text, Nat32) -> (Nat32, Nat))(keyName, curveEncoding);\n\nfunc costSignWithSchnorr(keyName : Text, algorithmEncoding : Nat32) : (resultCode : Nat32, costOrUndefined : Nat) = (prim "costSignWithSchnorr" : (Text, Nat32) -> (Nat32, Nat))(keyName, algorithmEncoding);\n\n// certified data\nfunc setCertifiedData(data : Blob) = (prim "setCertifiedData" : Blob -> ()) data;\nfunc getCertificate() : ?Blob = (prim "getCertificate" : () -> ?Blob)();\n\n// stable memory\n\n/// @deprecated M0199\nfunc stableMemorySize() : Nat64 = (prim "stableMemorySize" : () -> Nat64)();\n\n/// @deprecated M0199\nfunc stableMemoryGrow(pages : Nat64) : Nat64 = (prim "stableMemoryGrow" : Nat64 -> Nat64) pages;\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat32(offset : Nat64) : Nat32 = (prim "stableMemoryLoadNat32" : Nat64 -> Nat32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat32(offset : Nat64, val : Nat32) : () = (prim "stableMemoryStoreNat32" : (Nat64, Nat32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat8(offset : Nat64) : Nat8 = (prim "stableMemoryLoadNat8" : Nat64 -> Nat8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat8(offset : Nat64, val : Nat8) : () = (prim "stableMemoryStoreNat8" : (Nat64, Nat8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat16(offset : Nat64) : Nat16 = (prim "stableMemoryLoadNat16" : Nat64 -> Nat16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat16(offset : Nat64, val : Nat16) : () = (prim "stableMemoryStoreNat16" : (Nat64, Nat16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadNat64(offset : Nat64) : Nat64 = (prim "stableMemoryLoadNat64" : Nat64 -> Nat64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreNat64(offset : Nat64, val : Nat64) : () = (prim "stableMemoryStoreNat64" : (Nat64, Nat64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt32(offset : Nat64) : Int32 = (prim "stableMemoryLoadInt32" : Nat64 -> Int32) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt32(offset : Nat64, val : Int32) : () = (prim "stableMemoryStoreInt32" : (Nat64, Int32) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt8(offset : Nat64) : Int8 = (prim "stableMemoryLoadInt8" : Nat64 -> Int8) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt8(offset : Nat64, val : Int8) : () = (prim "stableMemoryStoreInt8" : (Nat64, Int8) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt16(offset : Nat64) : Int16 = (prim "stableMemoryLoadInt16" : Nat64 -> Int16) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt16(offset : Nat64, val : Int16) : () = (prim "stableMemoryStoreInt16" : (Nat64, Int16) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadInt64(offset : Nat64) : Int64 = (prim "stableMemoryLoadInt64" : Nat64 -> Int64) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreInt64(offset : Nat64, val : Int64) : () = (prim "stableMemoryStoreInt64" : (Nat64, Int64) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadFloat(offset : Nat64) : Float = (prim "stableMemoryLoadFloat" : Nat64 -> Float) offset;\n\n/// @deprecated M0199\nfunc stableMemoryStoreFloat(offset : Nat64, val : Float) : () = (prim "stableMemoryStoreFloat" : (Nat64, Float) -> ())(offset, val);\n\n/// @deprecated M0199\nfunc stableMemoryLoadBlob(offset : Nat64, size : Nat) : Blob = (prim "stableMemoryLoadBlob" : (Nat64, Nat) -> Blob)(offset, size);\n\n/// @deprecated M0199\nfunc stableMemoryStoreBlob(offset : Nat64, val : Blob) : () = (prim "stableMemoryStoreBlob" : (Nat64, Blob) -> ())(offset, val);\n\n// Returns a query that computes the current actor\'s stable variable statistics (for now, the current size, in bytes, of serialized stable variable data).\nfunc stableVarQuery() : shared query () -> async { size : Nat64 } = (prim "stableVarQuery" : () -> (shared query () -> async { size : Nat64 }))();\n\n// stable regions\n\nfunc regionNew() : Region = (prim "regionNew" : () -> Region)();\n\nfunc regionId(r : Region) : Nat = (prim "regionId" : Region -> Nat) r;\n\nfunc regionSize(r : Region) : Nat64 = (prim "regionSize" : Region -> Nat64) r;\n\nfunc regionGrow(r : Region, pages : Nat64) : Nat64 = (prim "regionGrow" : (Region, Nat64) -> Nat64)(r, pages);\n\nfunc regionLoadNat32(r : Region, offset : Nat64) : Nat32 = (prim "regionLoadNat32" : (Region, Nat64) -> Nat32)(r, offset);\n\nfunc regionStoreNat32(r : Region, offset : Nat64, val : Nat32) : () = (prim "regionStoreNat32" : (Region, Nat64, Nat32) -> ())(r, offset, val);\n\nfunc regionLoadNat8(r : Region, offset : Nat64) : Nat8 = (prim "regionLoadNat8" : (Region, Nat64) -> Nat8)(r, offset);\n\nfunc regionStoreNat8(r : Region, offset : Nat64, val : Nat8) : () = (prim "regionStoreNat8" : (Region, Nat64, Nat8) -> ())(r, offset, val);\n\nfunc regionLoadNat16(r : Region, offset : Nat64) : Nat16 = (prim "regionLoadNat16" : (Region, Nat64) -> Nat16)(r, offset);\n\nfunc regionStoreNat16(r : Region, offset : Nat64, val : Nat16) : () = (prim "regionStoreNat16" : (Region, Nat64, Nat16) -> ())(r, offset, val);\n\nfunc regionLoadNat64(r : Region, offset : Nat64) : Nat64 = (prim "regionLoadNat64" : (Region, Nat64) -> Nat64)(r, offset);\n\nfunc regionStoreNat64(r : Region, offset : Nat64, val : Nat64) : () = (prim "regionStoreNat64" : (Region, Nat64, Nat64) -> ())(r, offset, val);\n\nfunc regionLoadInt32(r : Region, offset : Nat64) : Int32 = (prim "regionLoadInt32" : (Region, Nat64) -> Int32)(r, offset);\n\nfunc regionStoreInt32(r : Region, offset : Nat64, val : Int32) : () = (prim "regionStoreInt32" : (Region, Nat64, Int32) -> ())(r, offset, val);\n\nfunc regionLoadInt8(r : Region, offset : Nat64) : Int8 = (prim "regionLoadInt8" : (Region, Nat64) -> Int8)(r, offset);\n\nfunc regionStoreInt8(r : Region, offset : Nat64, val : Int8) : () = (prim "regionStoreInt8" : (Region, Nat64, Int8) -> ())(r, offset, val);\n\nfunc regionLoadInt16(r : Region, offset : Nat64) : Int16 = (prim "regionLoadInt16" : (Region, Nat64) -> Int16)(r, offset);\n\nfunc regionStoreInt16(r : Region, offset : Nat64, val : Int16) : () = (prim "regionStoreInt16" : (Region, Nat64, Int16) -> ())(r, offset, val);\n\nfunc regionLoadInt64(r : Region, offset : Nat64) : Int64 = (prim "regionLoadInt64" : (Region, Nat64) -> Int64)(r, offset);\n\nfunc regionStoreInt64(r : Region, offset : Nat64, val : Int64) : () = (prim "regionStoreInt64" : (Region, Nat64, Int64) -> ())(r, offset, val);\n\nfunc regionLoadFloat(r : Region, offset : Nat64) : Float = (prim "regionLoadFloat" : (Region, Nat64) -> Float)(r, offset);\n\nfunc regionStoreFloat(r : Region, offset : Nat64, val : Float) : () = (prim "regionStoreFloat" : (Region, Nat64, Float) -> ())(r, offset, val);\n\nfunc regionLoadBlob(r : Region, offset : Nat64, size : Nat) : Blob = (prim "regionLoadBlob" : (Region, Nat64, Nat) -> Blob)(r, offset, size);\n\nfunc regionStoreBlob(r : Region, offset : Nat64, val : Blob) : () = (prim "regionStoreBlob" : (Region, Nat64, Blob) -> ())(r, offset, val);\n\nlet call_raw = @call_raw;\n\nfunc performanceCounter(counter : Nat32) : Nat64 = (prim "performanceCounter" : (Nat32) -> Nat64) counter;\n\n// Candid configuration\nfunc setCandidLimits({\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidLimits" : (Nat32, Nat32, Nat32) -> ())(numerator, denominator, bias);\n};\n\nfunc getCandidLimits() : {\n numerator : Nat32;\n denominator : Nat32;\n bias : Nat32;\n} {\n let (numerator, denominator, bias) = (prim "getCandidLimits" : () -> (Nat32, Nat32, Nat32))();\n {\n numerator;\n denominator;\n bias;\n };\n};\n\nfunc setCandidTypeLimits({\n scalar : Nat32;\n bias : Nat32;\n}) {\n (prim "setCandidTypeLimits" : (Nat32, Nat32) -> ())(scalar, bias);\n};\n\nfunc getCandidTypeLimits() : {\n scalar : Nat32;\n bias : Nat32;\n} {\n let (scalar, bias) = (prim "getCandidTypeLimits" : () -> (Nat32, Nat32))();\n {\n scalar;\n bias;\n };\n};\n// Timer-related\n\nlet setTimer = @setTimer;\nlet cancelTimer = 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r.fun(e)};Nw($te,function(r){return 0===r[0]?ly(r[1]):{name:ly(r[1]),args:ok(rB(PT($te,r[2])))}});var Gte=XB(xe),Vte=XB(xe);Ote(SM,function(r){return KB(Gte,r)}),Ote(EM,function(r){return KB(Vte,r)}),SFr[1]=1,FFr[1]=0,QFr[1]=[0,"idl/"];var Jte={version:gb,saveFile:Bx(function(r,e,n){var t=dy(e),a=dy(n);try{var u=function(r,e){var n=Ry(r);return n.device.register||zk("cannot register file"),n.device.register(n.rest,e),0}(t,a);return u}catch(u){var i=Zx(Vx(t,bR));return tw(i,t),YM(i,a),Yx(i),Hx(i)}}),addPackage:Bx(function(r,e,n){return WFr[1]=NFr[4].call(null,dy(e),dy(n),WFr[1]),0}),clearPackage:Bx(function(r,e){return WFr[1]=NFr[1],0}),setCandidPath:Bx(function(r,e){return QFr[1]=[0,dy(e)],0}),setActorAliases:Bx(function(r,e){var n=nB(JA(function(r){var e=Mx(r),n=dy(Fk(e,1)[2]);return[0,dy(Fk(e,0)[1]),n]},Mx(e)));function t(r){return[0,r[1],[1,[0,r[2],0]]]}return RFr[1]=NFr[40].call(null,function(r){return sT(t,n)}),0}),setRunStepLimit:Bx(function(r,e){return 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v=l[2],b=Ete(s,l[1]);if(!b)break e;s=aee(s,b[1][2]),l=v}var p=[0,s];break r}p=0}var d=p?[0,[0,f,p[1]]]:0}else d=0;if(d){var h=d[1],m=h[2],k=h[1],y=HYr(AYr(Ite(nYr,i),function(r){return AYr(Tte(r),function(r){var e=r[1];return AYr(AYr(Ste(Ite,k,r[2],HOr[1]),function(r){return IYr([0,r[1],r[2]])}),function(r){var n=r[2],t=r[1];return AYr(Ate(0,n,wRr,[2,W$r],e),function(r){var a=r[2],u=r[1];return IYr([0,t,e,zKr(n,a),u,a])})})})}));if(y){var x=y[1],w=x[4],_=x[2],g=Ete(Pte(m,x[1]),_);if(g){var N=g[1][1];a_(ICr(YRr),function(r,e){return TJr(2,r,e)},[0,w,N],f$r,w);var I=[0,N]}else I=0}else I=0;var M=I}else M=0;return M?{error:null}:{error:{}}}),a=OB(Gte),u=OB(Vte);return $B(Gte),$B(Vte),{stdout:a,stderr:u,result:t}})};if(dy("object")===Uu&&0