From c27f14335591965a01746f6aeb629c17cc250f68 Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Wed, 19 Feb 2025 01:35:29 -0800 Subject: [PATCH 1/9] feat: temp commit --- .../chebyshev-t-polynomial/pdf/README.md | 163 ++++++++++++ .../pdf/benchmark/benchmark.js | 62 +++++ .../pdf/docs/img/equation_bradford_pdf.svg | 50 ++++ .../chebyshev-t-polynomial/pdf/docs/repl.txt | 69 +++++ .../pdf/docs/types/index.d.ts | 121 +++++++++ .../pdf/docs/types/test.ts | 98 +++++++ .../pdf/examples/index.js | 34 +++ .../chebyshev-t-polynomial/pdf/lib/factory.js | 81 ++++++ .../chebyshev-t-polynomial/pdf/lib/index.js | 54 ++++ .../chebyshev-t-polynomial/pdf/lib/main.js | 82 ++++++ .../chebyshev-t-polynomial/pdf/package.json | 69 +++++ .../pdf/test/fixtures/python/large_n.json | 1 + .../pdf/test/fixtures/python/medium_n.json | 1 + .../pdf/test/fixtures/python/runner.py | 88 +++++++ .../pdf/test/fixtures/python/small_n.json | 1 + .../pdf/test/test.factory.js | 188 ++++++++++++++ .../chebyshev-t-polynomial/pdf/test/test.js | 38 +++ .../pdf/test/test.pdf.js | 241 ++++++++++++++++++ 18 files changed, 1441 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/large_n.json create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/medium_n.json create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/runner.py create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md new file mode 100644 index 000000000000..00bacf3ea281 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md @@ -0,0 +1,163 @@ + + +# Probability Density Function + +> [Bradford][bradford-distribution] distribution [probability density function][pdf] (PDF). + +
+ +The [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] random variable is + + + +```math +f(x;c)=\frac{c}{(\ln(1+c)) (1 + cx)} +``` + + + + + +where `c` is the shape parameter of the distribution. The parameters must satisfy `0 <= x <= 1` and `c > 0`. + +
+ + + +
+ +## Usage + +```javascript +var pdf = require( '@stdlib/stats/base/dists/bradford/pdf' ); +``` + +#### pdf( x, c ) + +Evaluates the [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] distribution with shape parameter `c` at a value `x`. + +```javascript +var y = pdf( 0.1, 0.1 ); +// returns ~1.039 + +y = pdf( 0.5, 5.0 ); +// returns ~0.797 + +y = pdf( 1.0, 10.0 ); +// returns ~0.379 +``` + +If provided `NaN` as any argument, the function returns `NaN`. + +```javascript +var y = pdf( NaN, 1.0 ); +// returns NaN + +y = pdf( 0.0, NaN ); +// returns NaN +``` + +If provided an input value `x` outside of the interval `[0,1]`, the function returns `NaN`. + +```javascript +var y = pdf( 2.0, 1.0 ); +// returns NaN + +y = pdf( -0.5, 1.0 ); +// returns NaN +``` + +If provided a shape parameter `c <= 0`, the function returns `NaN`. + +```javascript +var y = pdf( 0.0, 0.0 ); +// returns NaN + +y = pdf( 0.5, -1.0 ); +// returns NaN +``` + +#### pdf.factory( c ) + +Returns a `function` for evaluating the [PDF][pdf] of a [bradford][bradford-distribution] distribution with shape parameter `c`. + +```javascript +var myPDF = pdf.factory( 5.0 ); +var y = myPDF( 0.5 ); +// returns ~0.797 + +y = myPDF( 1.0 ); +// returns ~0.465 +``` + +
+ + + +
+ +## Examples + + + +```javascript +var randu = require( '@stdlib/random/base/randu' ); +var pdf = require( '@stdlib/stats/base/dists/bradford/pdf' ); + +var x; +var c; +var y; +var i; + +for ( i = 0; i < 25; i++ ) { + x = randu(); + c = ( randu()*10.0 ); + y = pdf( x, c ); + console.log( 'x: %d, c: %d, f(x;c): %d', x.toFixed( 4 ), c.toFixed( 4 ), y.toFixed( 4 ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[pdf]: https://en.wikipedia.org/wiki/Probability_density_function + +[bradford-distribution]: https://en.wikipedia.org/wiki/Bradford%27s_law + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js new file mode 100644 index 000000000000..704e6dc825cc --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js @@ -0,0 +1,62 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var Float64Array = require( '@stdlib/array/float64' ); +var uniform = require( '@stdlib/random/base/uniform' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var pdf = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var len; + var x; + var c; + var y; + var i; + + len = 100; + x = new Float64Array( len ); + c = new Float64Array( len ); + for ( i = 0; i < len; i++ ) { + x[ i ] = uniform( 0.0, 1.0 ); + c[ i ] = uniform( EPS, 10.0 ); + } + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = pdf( x[ i % len ], c[ i % len ] ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg new file mode 100644 index 000000000000..4edb9d339608 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg @@ -0,0 +1,50 @@ + +f left-parenthesis x semicolon c right-parenthesis equals StartFraction c Over left-parenthesis ln left-parenthesis 1 plus c right-parenthesis right-parenthesis left-parenthesis 1 plus c x right-parenthesis EndFraction + + + \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt new file mode 100644 index 000000000000..e5cd56bca615 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt @@ -0,0 +1,69 @@ + +{{alias}}( x, c ) + Evaluates the probability density function (PDF) for a bradford distribution + with shape parameter `c` at a value `x`. + + If provided `NaN` as any argument, the function returns `NaN`. + + If `x < 0` or `x > 1`, the function returns `NaN`. + + If provided `c <= 0`, the function returns `NaN`. + + Parameters + ---------- + x: number + Input value. + + c: number + Shape parameter. + + Returns + ------- + out: number + Evaluated PDF. + + Examples + -------- + > var y = {{alias}}( 0.1, 0.1 ) + ~1.039 + > y = {{alias}}( 0.5, 5.0 ) + ~0.797 + > y = {{alias}}( 1.0, 10.0 ) + ~0.379 + > y = {{alias}}( 0.5, 0.0 ) + NaN + > y = {{alias}}( 2.0, 0.5 ) + NaN + > y = {{alias}}( -1.0, 0.5 ) + NaN + > y = {{alias}}( NaN, 1.0 ) + NaN + > y = {{alias}}( 1.0, NaN ) + NaN + + +{{alias}}.factory( c ) + Returns a function for evaluating the probability density function (PDF) of + a bradford distribution with shape parameter `c`. + + Parameters + ---------- + c: number + Shape parameter. + + Returns + ------- + pdf: Function + Probability density function (PDF). + + Examples + -------- + > var myPDF = {{alias}}.factory( 5.0 ); + > var y = myPDF( 0.5 ) + ~0.797 + > y = myPDF( 1.0 ) + ~0.465 + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts new file mode 100644 index 000000000000..79e135263b7a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts @@ -0,0 +1,121 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Evaluates the probability density function (PDF) for a bradford distribution. +* +* @param x - input value +* @returns evaluated PDF +*/ +type Unary = ( x: number ) => number; + + +/** +* Interface for the probability density function (PDF) of a bradford distribution. +*/ +interface PDF { + /** + * Evaluates the probability density function (PDF) for a bradford distribution with shape parameter `c` at a value `x`. + * + * ## Notes + * + * - If `x < 0` or `x > 1`, the function returns `NaN`. + * + * - If provided `c <= 0`, the function returns `NaN`. + * + * @param x - input value + * @param c - shape parameter + * @returns evaluated PDF + * + * @example + * var v = pdf( 0.1, 0.1 ); + * // returns ~1.039 + * + * @example + * var v = pdf( 0.5, 5.0 ); + * // returns ~0.797 + * + * @example + * var v = pdf( 1.0, 10.0 ); + * // returns ~0.379 + * + * @example + * var y = pdf( 0.5, 0.0 ); + * // returns NaN + * + * @example + * var y = pdf( 2.0, 0.5 ); + * // returns NaN + * + * @example + * var y = pdf( -1.0, 0.5 ); + * // returns NaN + * + * @example + * var y = pdf( NaN, 1.0 ); + * // returns NaN + * + * @example + * var y = pdf( 1.0, NaN ); + * // returns NaN + */ + ( x: number, c: number ): number; + + /** + * Returns a function for evaluating the probability density function (PDF) for a bradford distribution with shape parameter `c`. + * + * @param c - shape parameter + * @returns PDF + * + * @example + * var mypdf = pdf.factory( 5.0 ); + * var y = mypdf( 0.5 ); + * // returns ~0.797 + * + * y = mypdf( 1.0 ); + * // returns ~0.465 + */ + factory( c: number ): Unary; +} + +/** +* Bradford distribution probability density function (PDF). +* +* @param x - input value +* @param c - shape parameter +* @returns evaluated PDF +* +* @example +* var y = pdf( 0.5, 5.0 ); +* // returns ~0.797 +* +* var mypdf = pdf.factory( 5.0 ); +* y = mypdf( 0.5 ); +* // returns ~0.797 +* +* y = mypdf( 1.0 ); +* // returns ~0.465 +*/ +declare var pdf: PDF; + + +// EXPORTS // + +export = pdf; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts new file mode 100644 index 000000000000..638ceaea88e2 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts @@ -0,0 +1,98 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import pdf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + pdf( 0, 1 ); // $ExpectType number + pdf( 1, 5 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided values other than two numbers... +{ + pdf( true, 3 ); // $ExpectError + pdf( false, 2 ); // $ExpectError + pdf( '5', 1 ); // $ExpectError + pdf( [], 1 ); // $ExpectError + pdf( {}, 2 ); // $ExpectError + pdf( ( x: number ): number => x, 2 ); // $ExpectError + + pdf( 9, true ); // $ExpectError + pdf( 9, false ); // $ExpectError + pdf( 5, '5' ); // $ExpectError + pdf( 8, [] ); // $ExpectError + pdf( 9, {} ); // $ExpectError + pdf( 8, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + pdf(); // $ExpectError + pdf( 1 ); // $ExpectError + pdf( 1, 5, 3 ); // $ExpectError +} + +// Attached to main export is a `factory` method which returns a function... +{ + pdf.factory( 5 ); // $ExpectType Unary +} + +// The `factory` method returns a function which returns a number... +{ + const fcn = pdf.factory( 5 ); + fcn( 1 ); // $ExpectType number +} + +// The compiler throws an error if the function returned by the `factory` method is provided invalid arguments... +{ + const fcn = pdf.factory( 5 ); + fcn( true ); // $ExpectError + fcn( false ); // $ExpectError + fcn( '5' ); // $ExpectError + fcn( [] ); // $ExpectError + fcn( {} ); // $ExpectError + fcn( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function returned by the `factory` method is provided an unsupported number of arguments... +{ + const fcn = pdf.factory( 5 ); + fcn(); // $ExpectError + fcn( 2, 0 ); // $ExpectError + fcn( 2, 0, 1 ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided values other than one number... +{ + pdf.factory( true ); // $ExpectError + pdf.factory( false ); // $ExpectError + pdf.factory( '5' ); // $ExpectError + pdf.factory( [] ); // $ExpectError + pdf.factory( {} ); // $ExpectError + pdf.factory( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the `factory` method is provided an unsupported number of arguments... +{ + pdf.factory( 0, 1 ); // $ExpectError + pdf.factory( 0, 4, 8 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js new file mode 100644 index 000000000000..5e7d9fdda793 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js @@ -0,0 +1,34 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var randu = require( '@stdlib/random/base/randu' ); +var pdf = require( './../lib' ); + +var x; +var c; +var y; +var i; + +for ( i = 0; i < 25; i++ ) { + x = randu(); + c = ( randu()*10.0 ); + y = pdf( x, c ); + console.log( 'x: %d, c: %d, f(x;c): %d', x.toFixed( 4 ), c.toFixed( 4 ), y.toFixed( 4 ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js new file mode 100644 index 000000000000..4c0bb07def59 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js @@ -0,0 +1,81 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var constantFunction = require( '@stdlib/utils/constant-function' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var ln = require( '@stdlib/math/base/special/ln' ); + + +// MAIN // + +/** +* Returns a function for evaluating the probability density function (PDF) for a bradford distribution with shape parameter `c`. +* +* @param {number} c - shape parameter +* @returns {Function} PDF +* +* @example +* var pdf = factory( 5.0 ); +* var y = pdf( 0.5 ); +* // returns ~0.797 +* +* y = pdf( 1.0 ); +* // returns ~0.465 +*/ +function factory( c ) { + if ( + isnan( c ) || + c <= 0.0 + ) { + return constantFunction( NaN ); + } + return pdf; + + /** + * Evaluates the probability density function (PDF) for a bradford distribution. + * + * @private + * @param {number} x - input value + * @returns {number} evaluated PDF + * + * @example + * var y = pdf( 0.5 ); + * // returns + */ + function pdf( x ) { + var k; + if ( + isnan( x ) || + x < 0.0 || + x > 1.0 + ) { + return NaN; + } + k = ln( 1.0 + c ); + return c / ( ( 1.0 + ( c * x ) ) * k ); + } +} + + +// EXPORTS // + +module.exports = factory; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js new file mode 100644 index 000000000000..fd0cb214ab30 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js @@ -0,0 +1,54 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* Bradford distribution probability density function (PDF). +* +* @module @stdlib/stats/base/dists/bradford/pdf +* +* @example +* var pdf = require( '@stdlib/stats/base/dists/bradford/pdf' ); +* +* var y = pdf( 0.5, 5.0 ); +* // returns ~0.797 +* +* var myPDF = pdf.factory( 5.0 ); +* y = myPDF( 0.5 ); +* // returns ~0.797 +* +* y = myPDF( 1.0 ); +* // returns ~0.465 +*/ + +// MODULES // + +var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); +var main = require( './main.js' ); +var factory = require( './factory.js' ); + + +// MAIN // + +setReadOnly( main, 'factory', factory ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js new file mode 100644 index 000000000000..7e9504b59e65 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js @@ -0,0 +1,82 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var isInteger = require( '@stdlib/math/base/assert/is-integer' ); +var hyp2f1 = require( '@stdlib/math/base/special/hyp2f1' ); + +// MAIN // + +/** +* Returns the probability density function (PDF) for a Bradford distribution with shape parameter `c` at a value `x`. +* +* @param {number} x - input value +* @param {number} c - shape parameter +* @returns {number} evaluated PDF +* +* @example +* var v = pdf( 0.1, 0.1 ); +* // returns ~1.039 +* +* @example +* var v = pdf( 0.5, 5.0 ); +* // returns ~0.797 +* +* @example +* var v = pdf( 1.0, 10.0 ); +* // returns ~0.379 +* +* @example +* var v = pdf( 0.5, 0.0 ); +* // returns NaN +* +* @example +* var v = pdf( 2.0, 0.5 ); +* // returns NaN +* +* @example +* var v = pdf( -1.0, 0.5 ); +* // returns NaN +* +* @example +* var v = pdf( NaN, 1.0 ); +* // returns NaN +* +* @example +* var v = pdf( 1.0, NaN ); +* // returns NaN +*/ +function pdf( n, x ) { + if ( + isnan( x ) || + !isInteger( n ) || + n < 0.0 + ) { + return NaN; + } + return hyp2f1( -n, n, 0.5, 0.5*(1-x) ); +} + + +// EXPORTS // + +module.exports = pdf; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json new file mode 100644 index 000000000000..53b50afcc931 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json @@ -0,0 +1,69 @@ +{ + "name": "@stdlib/stats/base/dists/bradford/pdf", + "version": "0.0.0", + "description": "Bradford distribution probability density function (PDF).", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "statistics", + "stats", + "distribution", + "dist", + "bradford", + "bradford-distribution", + "parameter", + "shape-parameter", + "continuous", + "skewed", + "pdf", + "probability", + "density", + "probability-density-function" + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/large_n.json 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000000000000..b8cc76c00397 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/runner.py @@ -0,0 +1,88 @@ +#!/usr/bin/env python +# +# @license Apache-2.0 +# +# Copyright (n) 2025 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +"""Generate fixtures.""" + +import os +import json +import numpy as np +from scipy.special import eval_chebyt + +# Set a seed for reproducibility: +np.random.seed(1234) + +# Get the file path: +FILE = os.path.realpath(__file__) + +# Extract the directory in which this file resides: +DIR = os.path.dirname(FILE) + + +def gen(x, n, name): + """Generate fixture data and write to file. + + # Arguments + + * `x`: domain + * `n`: domain + * `name::str`: output filename + + # Examples + + ``` python + python> x = linspace(0, 1, 2001) + python> n = linspace(0.1, 1000, 2001) + python> gen(x, n, './data.json') + ``` + """ + y = eval_chebyt(n, x) + + # Store data to be written to file as a dictionary: + data = { + "x": x.tolist(), + "n": n.tolist(), + "expected": y.tolist() + } + + # Based on the script directory, create an output filepath: + filepath = os.path.join(DIR, name) + + # Write the data to the output filepath as JSON: + with open(filepath, "w", encoding="utf-8") as outfile: + json.dump(data, outfile) + + +def main(): + """Generate fixture data.""" + x = np.linspace(-1, 0.5, 1000) + + # Small degree: + n = np.random.randint(0, 10, 1000) + gen(x, n, "small_n.json") + + # Medium degree: + n = np.random.randint(10, 50, 1000) + gen(x, n, "medium_n.json") + + # Large degree: + n = np.random.randint(50, 100, 1000) + gen(x, n, "large_n.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json new file mode 100644 index 000000000000..3c0a995049f4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json @@ -0,0 +1 @@ +{"x": [-1.0, -0.9984984984984985, -0.996996996996997, -0.9954954954954955, -0.993993993993994, -0.9924924924924925, -0.990990990990991, -0.9894894894894894, -0.987987987987988, -0.9864864864864865, -0.984984984984985, -0.9834834834834835, -0.9819819819819819, -0.9804804804804805, -0.978978978978979, -0.9774774774774775, -0.975975975975976, -0.9744744744744744, 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0.36981973109518285, -0.6251705088338412, -0.43909189293681816, 0.40305598791008307, 0.9965662837957078, 0.42497733916466285, 0.43586207243256675, -0.5149022896770644, 0.4574711452449212, 0.9995145183879419, 1.0, -0.5029984939894848, 1.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js new file mode 100644 index 000000000000..2415be181ac8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js @@ -0,0 +1,188 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var factory = require( './../lib/factory.js' ); + + +// FIXTURES // + +var smallC = require( './fixtures/python/small_c.json' ); +var mediumC = require( './fixtures/python/medium_c.json' ); +var largeC = require( './fixtures/python/large_c.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof factory, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function returns a function', function test( t ) { + var pdf = factory( 1.0 ); + t.equal( typeof pdf, 'function', 'returns a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the created function returns `NaN`', function test( t ) { + var pdf; + var y; + + pdf = factory( 1.0 ); + y = pdf( NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + pdf = factory( NaN ); + y = pdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + pdf = factory( NaN ); + y = pdf( NaN ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided `c <= 0`, the created function always returns `NaN`', function test( t ) { + var pdf; + var y; + + pdf = factory( -1.0 ); + + y = pdf( 1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = pdf( 0.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = pdf( 0.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'if provided a `x` outside of `[0,1]`, the created function always returns `NaN`', function test( t ) { + var pdf; + var y; + + pdf = factory( 1.0 ); + + y = pdf( -1.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = pdf( -0.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = pdf( 1.5 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + y = pdf( 10.0 ); + t.equal( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the created function evaluates the pdf for `x` given small `c`', function test( t ) { + var expected; + var delta; + var pdf; + var tol; + var c; + var i; + var x; + var y; + + expected = smallC.expected; + x = smallC.x; + c = smallC.c; + for ( i = 0; i < x.length; i++ ) { + pdf = factory( c[i] ); + y = pdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 3.9 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the pdf for `x` given a medium `c`', function test( t ) { + var expected; + var delta; + var pdf; + var tol; + var c; + var i; + var x; + var y; + + expected = mediumC.expected; + x = mediumC.x; + c = mediumC.c; + for ( i = 0; i < x.length; i++ ) { + pdf = factory( c[i] ); + y = pdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 1.9 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the created function evaluates the pdf for `x` given a large `c`', function test( t ) { + var expected; + var delta; + var pdf; + var tol; + var c; + var i; + var x; + var y; + + expected = largeC.expected; + x = largeC.x; + c = largeC.c; + for ( i = 0; i < x.length; i++ ) { + pdf = factory( c[i] ); + y = pdf( x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 2.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js new file mode 100644 index 000000000000..6e251f419cb8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js @@ -0,0 +1,38 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var pdf = require( './../lib' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof pdf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'attached to the main export is a factory method for generating `pdf` functions', function test( t ) { + t.equal( typeof pdf.factory, 'function', 'exports a factory method' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js new file mode 100644 index 000000000000..81b6f2cdcc8c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js @@ -0,0 +1,241 @@ +/** +* @license Apache-2.0 +* +* Copyright (n) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var pdf = require( './../lib' ); + + +// FIXTURES // + +var smallC = require( './fixtures/python/small_n.json' ); +var mediumC = require( './fixtures/python/medium_n.json' ); +var largeC = require( './fixtures/python/large_n.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof pdf, 'function', 'main export is a function' ); + t.end(); +}); + +// tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) { +// var y; + +// y = pdf( NaN, 1.0 ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// y = pdf( 0.0, NaN ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// t.end(); +// }); + +// tape( 'if provided `n <= 0`, the function returns `NaN`', function test( t ) { +// var y; + +// y = pdf( 0.0, 0.0 ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// y = pdf( 0.5, -1.0 ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// y = pdf( 1.0, NINF ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// t.end(); +// }); + +// tape( 'if provided a `x` outside of `[0,1]`, the created function always returns `NaN`', function test( t ) { +// var y; + +// y = pdf( 2.0, 1.0 ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// y = pdf( -0.5, 1.0 ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// y = pdf( NINF, 1.0 ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// y = pdf( PINF, 1.0 ); +// t.equal( isnan( y ), true, 'returns expected value' ); + +// t.end(); +// }); + +// tape( 'the function evaluates the pdf for `x` given small parameter `n`', function test( t ) { +// var expected; +// var delta; +// var tol; +// var x; +// var n; +// var y; +// var i; + +// expected = smallC.expected; +// x = smallC.x; +// n = smallC.n; +// for ( i = 0; i < x.length; i++ ) { +// y = pdf( n[i], x[i] ); +// if ( y === expected[i] ) { +// t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); +// } else { +// delta = abs( y - expected[ i ] ); +// tol = 752.0 * EPS * abs( expected[ i ] ); +// t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); +// } +// } +// t.end(); +// }); + +// tape( 'the function evaluates the pdf for `x` given medium parameter `n`', function test( t ) { +// var expected; +// var delta; +// var tol; +// var x; +// var n; +// var y; +// var i; + +// expected = mediumC.expected; +// x = mediumC.x; +// n = mediumC.n; +// for ( i = 0; i < x.length; i++ ) { +// y = pdf( n[i], x[i] ); +// if ( y === expected[i] ) { +// t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); +// } else { +// delta = abs( y - expected[ i ] ); +// tol = 5107.0 * EPS * abs( expected[ i ] ); +// t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); +// } +// } +// t.end(); +// }); + +// tape( 'the function evaluates the pdf for `x` given large parameter `n`', function test( t ) { +// var expected; +// var delta; +// var tol; +// var x; +// var n; +// var y; +// var i; + +// expected = largeC.expected; +// x = largeC.x; +// n = largeC.n; +// for ( i = 0; i < x.length; i++ ) { +// y = pdf( n[i], x[i] ); +// if ( y === expected[i] ) { +// t.equal( y, expected[i], 'x: '+x[i]+'. n: '+n[i]+', y: '+y+', expected: '+expected[i] ); +// } else { +// delta = abs( y - expected[ i ] ); +// tol = 6591.0 * EPS * abs( expected[ i ] ); +// t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); +// } +// } +// t.end(); +// }); + + +tape.skip( 'the function evaluates the pdf for `x` given small parameter `n`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var n; + var y; + var i; + + expected = smallC.expected; + x = smallC.x; + n = smallC.n; + for ( i = 0; i < x.length; i++ ) { + y = pdf( n[i], x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape.skip( 'the function evaluates the pdf for `x` given medium parameter `n`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var n; + var y; + var i; + + expected = mediumC.expected; + x = mediumC.x; + n = mediumC.n; + for ( i = 0; i < x.length; i++ ) { + y = pdf( n[i], x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the pdf for `x` given large parameter `n`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var n; + var y; + var i; + + expected = largeC.expected; + x = largeC.x; + n = largeC.n; + for ( i = 0; i < x.length; i++ ) { + y = pdf( n[i], x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. n: '+n[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + tol = 1000 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); From f49687d7e9c124d3f26b396c24925c6dbe0cf5e1 Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Mon, 3 Mar 2025 21:00:33 -0800 Subject: [PATCH 2/9] feat: add the JS implementation --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: na - task: lint_package_json status: na - task: lint_repl_help status: na - task: lint_javascript_src status: passed - task: lint_javascript_cli status: na - task: lint_javascript_examples status: na - task: lint_javascript_tests status: na - task: lint_javascript_benchmarks status: na - task: lint_python status: na - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: na - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: na - task: lint_typescript_tests status: na - task: lint_license_headers status: passed --- --- .../chebyshev-t-polynomial/lib/index.js | 58 ++++++++++++++ .../chebyshev-t-polynomial/lib/main.js | 79 +++++++++++++++++++ 2 files changed, 137 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js new file mode 100644 index 000000000000..8b3c870f0e66 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js @@ -0,0 +1,58 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* Evaluate the Chebyshev polynomial of the first kind for a degree `n` at a value `x`. +* +* @module @stdlib/math/base/special/chebyshev-t-polynomial +* +* @example +* var chebyshevtpoly = require( '@stdlib/math/base/special/chebyshev-t-polynomial' ); +* +* var y = chebyshevtpoly( 0.0, 0.5 ); +* // returns -4.0 +* +* y = chebyshevtpoly( 1.0, -0.5 ); +* // returns 10.0 +* +* y = chebyshevtpoly( 5.0, 0.5 ); +* // returns 0.0 +* +* y = chebyshevtpoly( 2.5, 0.5 ); +* // returns NaN +* +* y = chebyshevtpoly( -1.0, 0.5 ); +* // returns NaN +* +* y = chebyshevtpoly( NaN, 1.0 ); +* // returns NaN +* +* y = chebyshevtpoly( 1.0, NaN ); +* // returns NaN +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js new file mode 100644 index 000000000000..938830d388cd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js @@ -0,0 +1,79 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var isInteger = require( '@stdlib/math/base/assert/is-integer' ); +var hyp2f1 = require( '@stdlib/math/base/special/hyp2f1' ); + + +// MAIN // + +/** +* Evaluates the Chebyshev polynomial of the first kind for a degree `n` at a value `x`. +* +* @param {NonNegativeNumber} n - degree of the polynomial +* @param {number} x - input value +* @returns {number} polynomial value +* +* @example +* var y = chebyshevtpoly( 0.0, 0.5 ); +* // returns 1.0 +* +* @example +* var y = chebyshevtpoly( 1.0, -0.5 ); +* // returns -0.5 +* +* @example +* var y = chebyshevtpoly( 5.0, 0.5 ); +* // returns 0.5 +* +* @example +* var y = chebyshevtpoly( 2.5, 0.5 ); +* // returns NaN +* +* @example +* var y = chebyshevtpoly( -1.0, 0.5 ); +* // returns NaN +* +* @example +* var y = chebyshevtpoly( NaN, 1.0 ); +* // returns NaN +* +* @example +* var y = chebyshevtpoly( 1.0, NaN ); +* // returns NaN +*/ +function chebyshevtpoly( n, x ) { + if ( + isnan( x ) || + !isInteger( n ) || + n < 0.0 + ) { + return NaN; + } + return hyp2f1( -n, n, 0.5, 0.5*(1-x) ); +} + + +// EXPORTS // + +module.exports = chebyshevtpoly; From 858b167184ea4615a882f7c80d35d64d0e282e44 Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Mon, 3 Mar 2025 21:01:43 -0800 Subject: [PATCH 3/9] chore: remove temporary files --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: na - task: lint_package_json status: na - task: lint_repl_help status: na - task: lint_javascript_src status: na - task: lint_javascript_cli status: na - task: lint_javascript_examples status: na - task: lint_javascript_tests status: na - task: lint_javascript_benchmarks status: na - task: lint_python status: na - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: na - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: na - task: lint_typescript_tests status: na - task: lint_license_headers status: passed --- --- .../chebyshev-t-polynomial/pdf/README.md | 163 ------------ .../pdf/benchmark/benchmark.js | 62 ----- .../pdf/docs/img/equation_bradford_pdf.svg | 50 ---- .../chebyshev-t-polynomial/pdf/docs/repl.txt | 69 ----- .../pdf/docs/types/index.d.ts | 121 --------- .../pdf/docs/types/test.ts | 98 ------- .../pdf/examples/index.js | 34 --- .../chebyshev-t-polynomial/pdf/lib/factory.js | 81 ------ .../chebyshev-t-polynomial/pdf/lib/index.js | 54 ---- .../chebyshev-t-polynomial/pdf/lib/main.js | 82 ------ .../chebyshev-t-polynomial/pdf/package.json | 69 ----- .../pdf/test/fixtures/python/large_n.json | 1 - .../pdf/test/fixtures/python/medium_n.json | 1 - .../pdf/test/fixtures/python/runner.py | 88 ------- .../pdf/test/fixtures/python/small_n.json | 1 - .../pdf/test/test.factory.js | 188 -------------- .../chebyshev-t-polynomial/pdf/test/test.js | 38 --- .../pdf/test/test.pdf.js | 241 ------------------ 18 files changed, 1441 deletions(-) delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/large_n.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/medium_n.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/runner.py delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js delete mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md deleted file mode 100644 index 00bacf3ea281..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/README.md +++ /dev/null @@ -1,163 +0,0 @@ - - -# Probability Density Function - -> [Bradford][bradford-distribution] distribution [probability density function][pdf] (PDF). - -
- -The [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] random variable is - - - -```math -f(x;c)=\frac{c}{(\ln(1+c)) (1 + cx)} -``` - - - - - -where `c` is the shape parameter of the distribution. The parameters must satisfy `0 <= x <= 1` and `c > 0`. - -
- - - -
- -## Usage - -```javascript -var pdf = require( '@stdlib/stats/base/dists/bradford/pdf' ); -``` - -#### pdf( x, c ) - -Evaluates the [probability density function][pdf] (PDF) for a [bradford][bradford-distribution] distribution with shape parameter `c` at a value `x`. - -```javascript -var y = pdf( 0.1, 0.1 ); -// returns ~1.039 - -y = pdf( 0.5, 5.0 ); -// returns ~0.797 - -y = pdf( 1.0, 10.0 ); -// returns ~0.379 -``` - -If provided `NaN` as any argument, the function returns `NaN`. - -```javascript -var y = pdf( NaN, 1.0 ); -// returns NaN - -y = pdf( 0.0, NaN ); -// returns NaN -``` - -If provided an input value `x` outside of the interval `[0,1]`, the function returns `NaN`. - -```javascript -var y = pdf( 2.0, 1.0 ); -// returns NaN - -y = pdf( -0.5, 1.0 ); -// returns NaN -``` - -If provided a shape parameter `c <= 0`, the function returns `NaN`. - -```javascript -var y = pdf( 0.0, 0.0 ); -// returns NaN - -y = pdf( 0.5, -1.0 ); -// returns NaN -``` - -#### pdf.factory( c ) - -Returns a `function` for evaluating the [PDF][pdf] of a [bradford][bradford-distribution] distribution with shape parameter `c`. - -```javascript -var myPDF = pdf.factory( 5.0 ); -var y = myPDF( 0.5 ); -// returns ~0.797 - -y = myPDF( 1.0 ); -// returns ~0.465 -``` - -
- - - -
- -## Examples - - - -```javascript -var randu = require( '@stdlib/random/base/randu' ); -var pdf = require( '@stdlib/stats/base/dists/bradford/pdf' ); - -var x; -var c; -var y; -var i; - -for ( i = 0; i < 25; i++ ) { - x = randu(); - c = ( randu()*10.0 ); - y = pdf( x, c ); - console.log( 'x: %d, c: %d, f(x;c): %d', x.toFixed( 4 ), c.toFixed( 4 ), y.toFixed( 4 ) ); -} -``` - -
- - - - - -
- -
- - - - - -
- -[pdf]: https://en.wikipedia.org/wiki/Probability_density_function - -[bradford-distribution]: https://en.wikipedia.org/wiki/Bradford%27s_law - -
- - diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js deleted file mode 100644 index 704e6dc825cc..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/benchmark/benchmark.js +++ /dev/null @@ -1,62 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -// MODULES // - -var bench = require( '@stdlib/bench' ); -var Float64Array = require( '@stdlib/array/float64' ); -var uniform = require( '@stdlib/random/base/uniform' ); -var EPS = require( '@stdlib/constants/float64/eps' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var pkg = require( './../package.json' ).name; -var pdf = require( './../lib' ); - - -// MAIN // - -bench( pkg, function benchmark( b ) { - var len; - var x; - var c; - var y; - var i; - - len = 100; - x = new Float64Array( len ); - c = new Float64Array( len ); - for ( i = 0; i < len; i++ ) { - x[ i ] = uniform( 0.0, 1.0 ); - c[ i ] = uniform( EPS, 10.0 ); - } - - b.tic(); - for ( i = 0; i < b.iterations; i++ ) { - y = pdf( x[ i % len ], c[ i % len ] ); - if ( isnan( y ) ) { - b.fail( 'should not return NaN' ); - } - } - b.toc(); - if ( isnan( y ) ) { - b.fail( 'should not return NaN' ); - } - b.pass( 'benchmark finished' ); - b.end(); -}); diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg deleted file mode 100644 index 4edb9d339608..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/img/equation_bradford_pdf.svg +++ /dev/null @@ -1,50 +0,0 @@ - -f left-parenthesis x semicolon c right-parenthesis equals StartFraction c Over left-parenthesis ln left-parenthesis 1 plus c right-parenthesis right-parenthesis left-parenthesis 1 plus c x right-parenthesis EndFraction - - - \ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt deleted file mode 100644 index e5cd56bca615..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/repl.txt +++ /dev/null @@ -1,69 +0,0 @@ - -{{alias}}( x, c ) - Evaluates the probability density function (PDF) for a bradford distribution - with shape parameter `c` at a value `x`. - - If provided `NaN` as any argument, the function returns `NaN`. - - If `x < 0` or `x > 1`, the function returns `NaN`. - - If provided `c <= 0`, the function returns `NaN`. - - Parameters - ---------- - x: number - Input value. - - c: number - Shape parameter. - - Returns - ------- - out: number - Evaluated PDF. - - Examples - -------- - > var y = {{alias}}( 0.1, 0.1 ) - ~1.039 - > y = {{alias}}( 0.5, 5.0 ) - ~0.797 - > y = {{alias}}( 1.0, 10.0 ) - ~0.379 - > y = {{alias}}( 0.5, 0.0 ) - NaN - > y = {{alias}}( 2.0, 0.5 ) - NaN - > y = {{alias}}( -1.0, 0.5 ) - NaN - > y = {{alias}}( NaN, 1.0 ) - NaN - > y = {{alias}}( 1.0, NaN ) - NaN - - -{{alias}}.factory( c ) - Returns a function for evaluating the probability density function (PDF) of - a bradford distribution with shape parameter `c`. - - Parameters - ---------- - c: number - Shape parameter. - - Returns - ------- - pdf: Function - Probability density function (PDF). - - Examples - -------- - > var myPDF = {{alias}}.factory( 5.0 ); - > var y = myPDF( 0.5 ) - ~0.797 - > y = myPDF( 1.0 ) - ~0.465 - - See Also - -------- - diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts deleted file mode 100644 index 79e135263b7a..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/index.d.ts +++ /dev/null @@ -1,121 +0,0 @@ -/* -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -// TypeScript Version: 4.1 - -/** -* Evaluates the probability density function (PDF) for a bradford distribution. -* -* @param x - input value -* @returns evaluated PDF -*/ -type Unary = ( x: number ) => number; - - -/** -* Interface for the probability density function (PDF) of a bradford distribution. -*/ -interface PDF { - /** - * Evaluates the probability density function (PDF) for a bradford distribution with shape parameter `c` at a value `x`. - * - * ## Notes - * - * - If `x < 0` or `x > 1`, the function returns `NaN`. - * - * - If provided `c <= 0`, the function returns `NaN`. - * - * @param x - input value - * @param c - shape parameter - * @returns evaluated PDF - * - * @example - * var v = pdf( 0.1, 0.1 ); - * // returns ~1.039 - * - * @example - * var v = pdf( 0.5, 5.0 ); - * // returns ~0.797 - * - * @example - * var v = pdf( 1.0, 10.0 ); - * // returns ~0.379 - * - * @example - * var y = pdf( 0.5, 0.0 ); - * // returns NaN - * - * @example - * var y = pdf( 2.0, 0.5 ); - * // returns NaN - * - * @example - * var y = pdf( -1.0, 0.5 ); - * // returns NaN - * - * @example - * var y = pdf( NaN, 1.0 ); - * // returns NaN - * - * @example - * var y = pdf( 1.0, NaN ); - * // returns NaN - */ - ( x: number, c: number ): number; - - /** - * Returns a function for evaluating the probability density function (PDF) for a bradford distribution with shape parameter `c`. - * - * @param c - shape parameter - * @returns PDF - * - * @example - * var mypdf = pdf.factory( 5.0 ); - * var y = mypdf( 0.5 ); - * // returns ~0.797 - * - * y = mypdf( 1.0 ); - * // returns ~0.465 - */ - factory( c: number ): Unary; -} - -/** -* Bradford distribution probability density function (PDF). -* -* @param x - input value -* @param c - shape parameter -* @returns evaluated PDF -* -* @example -* var y = pdf( 0.5, 5.0 ); -* // returns ~0.797 -* -* var mypdf = pdf.factory( 5.0 ); -* y = mypdf( 0.5 ); -* // returns ~0.797 -* -* y = mypdf( 1.0 ); -* // returns ~0.465 -*/ -declare var pdf: PDF; - - -// EXPORTS // - -export = pdf; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts deleted file mode 100644 index 638ceaea88e2..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/docs/types/test.ts +++ /dev/null @@ -1,98 +0,0 @@ -/* -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -import pdf = require( './index' ); - - -// TESTS // - -// The function returns a number... -{ - pdf( 0, 1 ); // $ExpectType number - pdf( 1, 5 ); // $ExpectType number -} - -// The compiler throws an error if the function is provided values other than two numbers... -{ - pdf( true, 3 ); // $ExpectError - pdf( false, 2 ); // $ExpectError - pdf( '5', 1 ); // $ExpectError - pdf( [], 1 ); // $ExpectError - pdf( {}, 2 ); // $ExpectError - pdf( ( x: number ): number => x, 2 ); // $ExpectError - - pdf( 9, true ); // $ExpectError - pdf( 9, false ); // $ExpectError - pdf( 5, '5' ); // $ExpectError - pdf( 8, [] ); // $ExpectError - pdf( 9, {} ); // $ExpectError - pdf( 8, ( x: number ): number => x ); // $ExpectError -} - -// The compiler throws an error if the function is provided an unsupported number of arguments... -{ - pdf(); // $ExpectError - pdf( 1 ); // $ExpectError - pdf( 1, 5, 3 ); // $ExpectError -} - -// Attached to main export is a `factory` method which returns a function... -{ - pdf.factory( 5 ); // $ExpectType Unary -} - -// The `factory` method returns a function which returns a number... -{ - const fcn = pdf.factory( 5 ); - fcn( 1 ); // $ExpectType number -} - -// The compiler throws an error if the function returned by the `factory` method is provided invalid arguments... -{ - const fcn = pdf.factory( 5 ); - fcn( true ); // $ExpectError - fcn( false ); // $ExpectError - fcn( '5' ); // $ExpectError - fcn( [] ); // $ExpectError - fcn( {} ); // $ExpectError - fcn( ( x: number ): number => x ); // $ExpectError -} - -// The compiler throws an error if the function returned by the `factory` method is provided an unsupported number of arguments... -{ - const fcn = pdf.factory( 5 ); - fcn(); // $ExpectError - fcn( 2, 0 ); // $ExpectError - fcn( 2, 0, 1 ); // $ExpectError -} - -// The compiler throws an error if the `factory` method is provided values other than one number... -{ - pdf.factory( true ); // $ExpectError - pdf.factory( false ); // $ExpectError - pdf.factory( '5' ); // $ExpectError - pdf.factory( [] ); // $ExpectError - pdf.factory( {} ); // $ExpectError - pdf.factory( ( x: number ): number => x ); // $ExpectError -} - -// The compiler throws an error if the `factory` method is provided an unsupported number of arguments... -{ - pdf.factory( 0, 1 ); // $ExpectError - pdf.factory( 0, 4, 8 ); // $ExpectError -} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js deleted file mode 100644 index 5e7d9fdda793..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/examples/index.js +++ /dev/null @@ -1,34 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -var randu = require( '@stdlib/random/base/randu' ); -var pdf = require( './../lib' ); - -var x; -var c; -var y; -var i; - -for ( i = 0; i < 25; i++ ) { - x = randu(); - c = ( randu()*10.0 ); - y = pdf( x, c ); - console.log( 'x: %d, c: %d, f(x;c): %d', x.toFixed( 4 ), c.toFixed( 4 ), y.toFixed( 4 ) ); -} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js deleted file mode 100644 index 4c0bb07def59..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/factory.js +++ /dev/null @@ -1,81 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -// MODULES // - -var constantFunction = require( '@stdlib/utils/constant-function' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var ln = require( '@stdlib/math/base/special/ln' ); - - -// MAIN // - -/** -* Returns a function for evaluating the probability density function (PDF) for a bradford distribution with shape parameter `c`. -* -* @param {number} c - shape parameter -* @returns {Function} PDF -* -* @example -* var pdf = factory( 5.0 ); -* var y = pdf( 0.5 ); -* // returns ~0.797 -* -* y = pdf( 1.0 ); -* // returns ~0.465 -*/ -function factory( c ) { - if ( - isnan( c ) || - c <= 0.0 - ) { - return constantFunction( NaN ); - } - return pdf; - - /** - * Evaluates the probability density function (PDF) for a bradford distribution. - * - * @private - * @param {number} x - input value - * @returns {number} evaluated PDF - * - * @example - * var y = pdf( 0.5 ); - * // returns - */ - function pdf( x ) { - var k; - if ( - isnan( x ) || - x < 0.0 || - x > 1.0 - ) { - return NaN; - } - k = ln( 1.0 + c ); - return c / ( ( 1.0 + ( c * x ) ) * k ); - } -} - - -// EXPORTS // - -module.exports = factory; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js deleted file mode 100644 index fd0cb214ab30..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/index.js +++ /dev/null @@ -1,54 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -/** -* Bradford distribution probability density function (PDF). -* -* @module @stdlib/stats/base/dists/bradford/pdf -* -* @example -* var pdf = require( '@stdlib/stats/base/dists/bradford/pdf' ); -* -* var y = pdf( 0.5, 5.0 ); -* // returns ~0.797 -* -* var myPDF = pdf.factory( 5.0 ); -* y = myPDF( 0.5 ); -* // returns ~0.797 -* -* y = myPDF( 1.0 ); -* // returns ~0.465 -*/ - -// MODULES // - -var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' ); -var main = require( './main.js' ); -var factory = require( './factory.js' ); - - -// MAIN // - -setReadOnly( main, 'factory', factory ); - - -// EXPORTS // - -module.exports = main; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js deleted file mode 100644 index 7e9504b59e65..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/lib/main.js +++ /dev/null @@ -1,82 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -// MODULES // - -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var isInteger = require( '@stdlib/math/base/assert/is-integer' ); -var hyp2f1 = require( '@stdlib/math/base/special/hyp2f1' ); - -// MAIN // - -/** -* Returns the probability density function (PDF) for a Bradford distribution with shape parameter `c` at a value `x`. -* -* @param {number} x - input value -* @param {number} c - shape parameter -* @returns {number} evaluated PDF -* -* @example -* var v = pdf( 0.1, 0.1 ); -* // returns ~1.039 -* -* @example -* var v = pdf( 0.5, 5.0 ); -* // returns ~0.797 -* -* @example -* var v = pdf( 1.0, 10.0 ); -* // returns ~0.379 -* -* @example -* var v = pdf( 0.5, 0.0 ); -* // returns NaN -* -* @example -* var v = pdf( 2.0, 0.5 ); -* // returns NaN -* -* @example -* var v = pdf( -1.0, 0.5 ); -* // returns NaN -* -* @example -* var v = pdf( NaN, 1.0 ); -* // returns NaN -* -* @example -* var v = pdf( 1.0, NaN ); -* // returns NaN -*/ -function pdf( n, x ) { - if ( - isnan( x ) || - !isInteger( n ) || - n < 0.0 - ) { - return NaN; - } - return hyp2f1( -n, n, 0.5, 0.5*(1-x) ); -} - - -// EXPORTS // - -module.exports = pdf; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json deleted file mode 100644 index 53b50afcc931..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/package.json +++ /dev/null @@ -1,69 +0,0 @@ -{ - "name": "@stdlib/stats/base/dists/bradford/pdf", - "version": "0.0.0", - "description": "Bradford distribution probability density function (PDF).", - "license": "Apache-2.0", - "author": { - "name": "The Stdlib Authors", - "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" - }, - "contributors": [ - { - "name": "The Stdlib Authors", - "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" - } - ], - "main": "./lib", - "directories": { - "benchmark": "./benchmark", - "doc": "./docs", - "example": "./examples", - "lib": "./lib", - "test": "./test" - }, - "types": "./docs/types", - "scripts": {}, - "homepage": "https://github.com/stdlib-js/stdlib", - "repository": { - "type": "git", - "url": "git://github.com/stdlib-js/stdlib.git" - }, - "bugs": { - "url": "https://github.com/stdlib-js/stdlib/issues" - }, - "dependencies": {}, - "devDependencies": {}, - "engines": { - "node": ">=0.10.0", - "npm": ">2.7.0" - }, - "os": [ - "aix", - "darwin", - "freebsd", - "linux", - "macos", - "openbsd", - "sunos", - "win32", - "windows" - ], - "keywords": [ - "stdlib", - "stdmath", - "statistics", - "stats", - "distribution", - "dist", - "bradford", - "bradford-distribution", - "parameter", - "shape-parameter", - "continuous", - "skewed", - "pdf", - "probability", - "density", - "probability-density-function" - ] -} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/large_n.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/large_n.json deleted file mode 100644 index 8cf7dc9ad3ab..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/large_n.json +++ /dev/null @@ -1 +0,0 @@ -{"x": [-1.0, -0.9984984984984985, -0.996996996996997, -0.9954954954954955, -0.993993993993994, -0.9924924924924925, -0.990990990990991, -0.9894894894894894, -0.987987987987988, -0.9864864864864865, -0.984984984984985, -0.9834834834834835, -0.9819819819819819, -0.9804804804804805, -0.978978978978979, -0.9774774774774775, -0.975975975975976, -0.9744744744744744, -0.972972972972973, -0.9714714714714715, -0.96996996996997, -0.9684684684684685, -0.9669669669669669, -0.9654654654654655, -0.963963963963964, -0.9624624624624625, -0.960960960960961, -0.9594594594594594, -0.957957957957958, -0.9564564564564565, -0.954954954954955, -0.9534534534534534, -0.9519519519519519, -0.9504504504504504, 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b8cc76c00397..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/runner.py +++ /dev/null @@ -1,88 +0,0 @@ -#!/usr/bin/env python -# -# @license Apache-2.0 -# -# Copyright (n) 2025 The Stdlib Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -"""Generate fixtures.""" - -import os -import json -import numpy as np -from scipy.special import eval_chebyt - -# Set a seed for reproducibility: -np.random.seed(1234) - -# Get the file path: -FILE = os.path.realpath(__file__) - -# Extract the directory in which this file resides: -DIR = os.path.dirname(FILE) - - -def gen(x, n, name): - """Generate fixture data and write to file. - - # Arguments - - * `x`: domain - * `n`: domain - * `name::str`: output filename - - # Examples - - ``` python - python> x = linspace(0, 1, 2001) - python> n = linspace(0.1, 1000, 2001) - python> gen(x, n, './data.json') - ``` - """ - y = eval_chebyt(n, x) - - # Store data to be written to file as a dictionary: - data = { - "x": x.tolist(), - "n": n.tolist(), - "expected": y.tolist() - } - - # Based on the script directory, create an output filepath: - filepath = os.path.join(DIR, name) - - # Write the data to the output filepath as JSON: - with open(filepath, "w", encoding="utf-8") as outfile: - json.dump(data, outfile) - - -def main(): - """Generate fixture data.""" - x = np.linspace(-1, 0.5, 1000) - - # Small degree: - n = np.random.randint(0, 10, 1000) - gen(x, n, "small_n.json") - - # Medium degree: - n = np.random.randint(10, 50, 1000) - gen(x, n, "medium_n.json") - - # Large degree: - n = np.random.randint(50, 100, 1000) - gen(x, n, "large_n.json") - - -if __name__ == "__main__": - main() diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json deleted file mode 100644 index 3c0a995049f4..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/fixtures/python/small_n.json +++ /dev/null @@ -1 +0,0 @@ -{"x": [-1.0, -0.9984984984984985, -0.996996996996997, -0.9954954954954955, -0.993993993993994, -0.9924924924924925, -0.990990990990991, -0.9894894894894894, -0.987987987987988, -0.9864864864864865, -0.984984984984985, -0.9834834834834835, -0.9819819819819819, -0.9804804804804805, -0.978978978978979, -0.9774774774774775, -0.975975975975976, -0.9744744744744744, 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0.36981973109518285, -0.6251705088338412, -0.43909189293681816, 0.40305598791008307, 0.9965662837957078, 0.42497733916466285, 0.43586207243256675, -0.5149022896770644, 0.4574711452449212, 0.9995145183879419, 1.0, -0.5029984939894848, 1.0]} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js deleted file mode 100644 index 2415be181ac8..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.factory.js +++ /dev/null @@ -1,188 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -// MODULES // - -var tape = require( 'tape' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var abs = require( '@stdlib/math/base/special/abs' ); -var EPS = require( '@stdlib/constants/float64/eps' ); -var factory = require( './../lib/factory.js' ); - - -// FIXTURES // - -var smallC = require( './fixtures/python/small_c.json' ); -var mediumC = require( './fixtures/python/medium_c.json' ); -var largeC = require( './fixtures/python/large_c.json' ); - - -// TESTS // - -tape( 'main export is a function', function test( t ) { - t.ok( true, __filename ); - t.strictEqual( typeof factory, 'function', 'main export is a function' ); - t.end(); -}); - -tape( 'the function returns a function', function test( t ) { - var pdf = factory( 1.0 ); - t.equal( typeof pdf, 'function', 'returns a function' ); - t.end(); -}); - -tape( 'if provided `NaN` for any parameter, the created function returns `NaN`', function test( t ) { - var pdf; - var y; - - pdf = factory( 1.0 ); - y = pdf( NaN ); - t.equal( isnan( y ), true, 'returns expected value' ); - - pdf = factory( NaN ); - y = pdf( 0.0 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - pdf = factory( NaN ); - y = pdf( NaN ); - t.equal( isnan( y ), true, 'returns expected value' ); - - t.end(); -}); - -tape( 'if provided `c <= 0`, the created function always returns `NaN`', function test( t ) { - var pdf; - var y; - - pdf = factory( -1.0 ); - - y = pdf( 1.0 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - y = pdf( 0.5 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - y = pdf( 0.0 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - t.end(); -}); - -tape( 'if provided a `x` outside of `[0,1]`, the created function always returns `NaN`', function test( t ) { - var pdf; - var y; - - pdf = factory( 1.0 ); - - y = pdf( -1.0 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - y = pdf( -0.5 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - y = pdf( 1.5 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - y = pdf( 10.0 ); - t.equal( isnan( y ), true, 'returns expected value' ); - - t.end(); -}); - -tape( 'the created function evaluates the pdf for `x` given small `c`', function test( t ) { - var expected; - var delta; - var pdf; - var tol; - var c; - var i; - var x; - var y; - - expected = smallC.expected; - x = smallC.x; - c = smallC.c; - for ( i = 0; i < x.length; i++ ) { - pdf = factory( c[i] ); - y = pdf( x[i] ); - if ( y === expected[i] ) { - t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 3.9 * EPS * abs( expected[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); - } - } - t.end(); -}); - -tape( 'the created function evaluates the pdf for `x` given a medium `c`', function test( t ) { - var expected; - var delta; - var pdf; - var tol; - var c; - var i; - var x; - var y; - - expected = mediumC.expected; - x = mediumC.x; - c = mediumC.c; - for ( i = 0; i < x.length; i++ ) { - pdf = factory( c[i] ); - y = pdf( x[i] ); - if ( y === expected[i] ) { - t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 1.9 * EPS * abs( expected[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); - } - } - t.end(); -}); - -tape( 'the created function evaluates the pdf for `x` given a large `c`', function test( t ) { - var expected; - var delta; - var pdf; - var tol; - var c; - var i; - var x; - var y; - - expected = largeC.expected; - x = largeC.x; - c = largeC.c; - for ( i = 0; i < x.length; i++ ) { - pdf = factory( c[i] ); - y = pdf( x[i] ); - if ( y === expected[i] ) { - t.equal( y, expected[i], 'x: '+x[i]+'. c: '+c[i]+', y: '+y+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 2.0 * EPS * abs( expected[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. c: '+c[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); - } - } - t.end(); -}); diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js deleted file mode 100644 index 6e251f419cb8..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.js +++ /dev/null @@ -1,38 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (c) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -// MODULES // - -var tape = require( 'tape' ); -var pdf = require( './../lib' ); - - -// TESTS // - -tape( 'main export is a function', function test( t ) { - t.ok( true, __filename ); - t.strictEqual( typeof pdf, 'function', 'main export is a function' ); - t.end(); -}); - -tape( 'attached to the main export is a factory method for generating `pdf` functions', function test( t ) { - t.equal( typeof pdf.factory, 'function', 'exports a factory method' ); - t.end(); -}); diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js deleted file mode 100644 index 81b6f2cdcc8c..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/pdf/test/test.pdf.js +++ /dev/null @@ -1,241 +0,0 @@ -/** -* @license Apache-2.0 -* -* Copyright (n) 2025 The Stdlib Authors. -* -* Licensed under the Apache License, Version 2.0 (the "License"); -* you may not use this file except in compliance with the License. -* You may obtain a copy of the License at -* -* http://www.apache.org/licenses/LICENSE-2.0 -* -* Unless required by applicable law or agreed to in writing, software -* distributed under the License is distributed on an "AS IS" BASIS, -* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -* See the License for the specific language governing permissions and -* limitations under the License. -*/ - -'use strict'; - -// MODULES // - -var tape = require( 'tape' ); -var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var abs = require( '@stdlib/math/base/special/abs' ); -var PINF = require( '@stdlib/constants/float64/pinf' ); -var NINF = require( '@stdlib/constants/float64/ninf' ); -var EPS = require( '@stdlib/constants/float64/eps' ); -var pdf = require( './../lib' ); - - -// FIXTURES // - -var smallC = require( './fixtures/python/small_n.json' ); -var mediumC = require( './fixtures/python/medium_n.json' ); -var largeC = require( './fixtures/python/large_n.json' ); - - -// TESTS // - -tape( 'main export is a function', function test( t ) { - t.ok( true, __filename ); - t.strictEqual( typeof pdf, 'function', 'main export is a function' ); - t.end(); -}); - -// tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) { -// var y; - -// y = pdf( NaN, 1.0 ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// y = pdf( 0.0, NaN ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// t.end(); -// }); - -// tape( 'if provided `n <= 0`, the function returns `NaN`', function test( t ) { -// var y; - -// y = pdf( 0.0, 0.0 ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// y = pdf( 0.5, -1.0 ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// y = pdf( 1.0, NINF ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// t.end(); -// }); - -// tape( 'if provided a `x` outside of `[0,1]`, the created function always returns `NaN`', function test( t ) { -// var y; - -// y = pdf( 2.0, 1.0 ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// y = pdf( -0.5, 1.0 ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// y = pdf( NINF, 1.0 ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// y = pdf( PINF, 1.0 ); -// t.equal( isnan( y ), true, 'returns expected value' ); - -// t.end(); -// }); - -// tape( 'the function evaluates the pdf for `x` given small parameter `n`', function test( t ) { -// var expected; -// var delta; -// var tol; -// var x; -// var n; -// var y; -// var i; - -// expected = smallC.expected; -// x = smallC.x; -// n = smallC.n; -// for ( i = 0; i < x.length; i++ ) { -// y = pdf( n[i], x[i] ); -// if ( y === expected[i] ) { -// t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); -// } else { -// delta = abs( y - expected[ i ] ); -// tol = 752.0 * EPS * abs( expected[ i ] ); -// t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); -// } -// } -// t.end(); -// }); - -// tape( 'the function evaluates the pdf for `x` given medium parameter `n`', function test( t ) { -// var expected; -// var delta; -// var tol; -// var x; -// var n; -// var y; -// var i; - -// expected = mediumC.expected; -// x = mediumC.x; -// n = mediumC.n; -// for ( i = 0; i < x.length; i++ ) { -// y = pdf( n[i], x[i] ); -// if ( y === expected[i] ) { -// t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); -// } else { -// delta = abs( y - expected[ i ] ); -// tol = 5107.0 * EPS * abs( expected[ i ] ); -// t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); -// } -// } -// t.end(); -// }); - -// tape( 'the function evaluates the pdf for `x` given large parameter `n`', function test( t ) { -// var expected; -// var delta; -// var tol; -// var x; -// var n; -// var y; -// var i; - -// expected = largeC.expected; -// x = largeC.x; -// n = largeC.n; -// for ( i = 0; i < x.length; i++ ) { -// y = pdf( n[i], x[i] ); -// if ( y === expected[i] ) { -// t.equal( y, expected[i], 'x: '+x[i]+'. n: '+n[i]+', y: '+y+', expected: '+expected[i] ); -// } else { -// delta = abs( y - expected[ i ] ); -// tol = 6591.0 * EPS * abs( expected[ i ] ); -// t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); -// } -// } -// t.end(); -// }); - - -tape.skip( 'the function evaluates the pdf for `x` given small parameter `n`', function test( t ) { - var expected; - var delta; - var tol; - var x; - var n; - var y; - var i; - - expected = smallC.expected; - x = smallC.x; - n = smallC.n; - for ( i = 0; i < x.length; i++ ) { - y = pdf( n[i], x[i] ); - if ( y === expected[i] ) { - t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = EPS * abs( expected[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); - } - } - t.end(); -}); - -tape.skip( 'the function evaluates the pdf for `x` given medium parameter `n`', function test( t ) { - var expected; - var delta; - var tol; - var x; - var n; - var y; - var i; - - expected = mediumC.expected; - x = mediumC.x; - n = mediumC.n; - for ( i = 0; i < x.length; i++ ) { - y = pdf( n[i], x[i] ); - if ( y === expected[i] ) { - t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = EPS * abs( expected[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); - } - } - t.end(); -}); - -tape( 'the function evaluates the pdf for `x` given large parameter `n`', function test( t ) { - var expected; - var delta; - var tol; - var x; - var n; - var y; - var i; - - expected = largeC.expected; - x = largeC.x; - n = largeC.n; - for ( i = 0; i < x.length; i++ ) { - y = pdf( n[i], x[i] ); - if ( y === expected[i] ) { - t.equal( y, expected[i], 'x: '+x[i]+'. n: '+n[i]+', y: '+y+', expected: '+expected[i] ); - } else { - delta = abs( y - expected[ i ] ); - tol = 1000 * EPS * abs( expected[ i ] ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); - } - } - t.end(); -}); From a2464958e1552bae16c84a2798f951935d535c5e Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Mon, 3 Mar 2025 21:08:39 -0800 Subject: [PATCH 4/9] test: add tests and its fixtures --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: na - task: lint_package_json status: na - task: lint_repl_help status: na - task: lint_javascript_src status: na - task: lint_javascript_cli status: na - task: lint_javascript_examples status: na - task: lint_javascript_tests status: passed - task: lint_javascript_benchmarks status: na - task: lint_python status: passed - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: na - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: na - task: lint_typescript_tests status: na - task: lint_license_headers status: passed --- --- .../test/fixtures/python/large_n.json | 1 + .../test/fixtures/python/medium_n.json | 1 + .../test/fixtures/python/runner.py | 88 ++++++++++ .../test/fixtures/python/small_n.json | 1 + .../chebyshev-t-polynomial/test/test.js | 150 ++++++++++++++++++ 5 files changed, 241 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/fixtures/python/large_n.json create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/fixtures/python/medium_n.json create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/fixtures/python/runner.py create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/fixtures/python/small_n.json create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/test.js diff 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distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +"""Generate fixtures.""" + +import os +import json +import numpy as np +from scipy.special import eval_chebyt + +# Set a seed for reproducibility: +np.random.seed(1234) + +# Get the file path: +FILE = os.path.realpath(__file__) + +# Extract the directory in which this file resides: +DIR = os.path.dirname(FILE) + + +def gen(x, n, name): + """Generate fixture data and write to file. + + # Arguments + + * `x`: domain + * `n`: domain + * `name::str`: output filename + + # Examples + + ``` python + python> x = linspace(0, 1, 2001) + python> n = linspace(0.1, 1000, 2001) + python> gen(x, n, './data.json') + ``` + """ + y = eval_chebyt(n, x) + + # Store data to be written to file as a dictionary: + data = { + "x": x.tolist(), + "n": n.tolist(), + "expected": y.tolist() + } + + # Based on the script directory, create an output filepath: + filepath = os.path.join(DIR, name) + + # Write the data to the output filepath as JSON: + with open(filepath, "w", encoding="utf-8") as outfile: + json.dump(data, outfile) + + +def main(): + """Generate fixture data.""" + x = np.linspace(-1, 1, 1000) + + # Small degree: + n = np.random.randint(0, 10, 1000) + gen(x, n, "small_n.json") + + # Medium degree: + n = np.random.randint(10, 50, 1000) + gen(x, n, "medium_n.json") + + # Large degree: + n = np.random.randint(50, 100, 1000) + gen(x, n, "large_n.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/fixtures/python/small_n.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/fixtures/python/small_n.json new file mode 100644 index 000000000000..212688efacd0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/test/fixtures/python/small_n.json 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http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var chebyshevtpoly = require( './../lib' ); + + +// FIXTURES // + +var smallN = require( './fixtures/python/small_n.json' ); +var mediumN = require( './fixtures/python/medium_n.json' ); +var largeN = require( './fixtures/python/large_n.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof chebyshevtpoly, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) { + var val = chebyshevtpoly( NaN, 2.0 ); + t.ok( isnan( val ), 'returns expected value' ); + val = chebyshevtpoly( 2.0, NaN ); + t.ok( isnan( val ), 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a negative number for `n` and a valid `x`, the function returns `NaN`', function test( t ) { + var val = chebyshevtpoly( -2.0, 0.5 ); + t.ok( isnan( val ), 'returns expected value' ); + val = chebyshevtpoly( -4.0, -0.5 ); + t.ok( isnan( val ), 'returns expected value' ); + val = chebyshevtpoly( -4.5, -0.5 ); + t.ok( isnan( val ), 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a `n` which is not a nonnegative integer and a valid `x`, the function returns `NaN`', function test( t ) { + var val = chebyshevtpoly( 2.5, 0.5 ); + t.ok( isnan( val ), 'returns expected value' ); + val = chebyshevtpoly( 0.5, -0.5 ); + t.ok( isnan( val ), 'returns expected value' ); + t.end(); +}); + +tape( 'the function evaluates the chebyshev polynomial for `x` given small degree `n`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var n; + var y; + var i; + + expected = smallN.expected; + x = smallN.x; + n = smallN.n; + for ( i = 0; i < x.length; i++ ) { + y = chebyshevtpoly( n[i], x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + + // NOTE: The tolerance is higher due to the numerical differences between the `hyp2f1` implementation in JavaScript and its reference implementation in SciPy. + tol = 755.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the chebyshev polynomial for `x` given medium degree `n`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var n; + var y; + var i; + + expected = mediumN.expected; + x = mediumN.x; + n = mediumN.n; + for ( i = 0; i < x.length; i++ ) { + y = chebyshevtpoly( n[i], x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. n:'+n[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + + // NOTE: The tolerance is higher due to the numerical differences between the `hyp2f1` implementation in JavaScript and its reference implementation in SciPy. + tol = 5836.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the chebyshev polynomial for `x` given large degree `n`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var n; + var y; + var i; + + expected = largeN.expected; + x = largeN.x; + n = largeN.n; + for ( i = 0; i < x.length; i++ ) { + y = chebyshevtpoly( n[i], x[i] ); + if ( y === expected[i] ) { + t.equal( y, expected[i], 'x: '+x[i]+'. n: '+n[i]+', y: '+y+', expected: '+expected[i] ); + } else { + delta = abs( y - expected[ i ] ); + + // NOTE: The tolerance is higher due to the numerical differences between the `hyp2f1` implementation in JavaScript and its reference implementation in SciPy. + tol = 6591.0 * EPS * abs( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. n: '+n[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); From b0de29958c368fe33c2c854fd682f276fbe267a7 Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Mon, 3 Mar 2025 21:11:15 -0800 Subject: [PATCH 5/9] feat: add benchmarks, examples, docs --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: passed - task: lint_package_json status: passed - task: lint_repl_help status: passed - task: lint_javascript_src status: na - task: lint_javascript_cli status: na - task: lint_javascript_examples status: passed - task: lint_javascript_tests status: na - task: lint_javascript_benchmarks status: passed - task: lint_python status: na - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: na - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: passed - task: lint_typescript_tests status: passed - task: lint_license_headers status: passed --- --- type: pre_push_report description: Results of running various checks prior to pushing changes. report: - task: run_javascript_examples status: na - task: run_c_examples status: na - task: run_cpp_examples status: na - task: run_javascript_readme_examples status: na - task: run_c_benchmarks status: na - task: run_cpp_benchmarks status: na - task: run_fortran_benchmarks status: na - task: run_javascript_benchmarks status: na - task: run_julia_benchmarks status: na - task: run_python_benchmarks status: na - task: run_r_benchmarks status: na - task: run_javascript_tests status: na --- --- .../special/chebyshev-t-polynomial/README.md | 154 ++++++++++++++++++ .../benchmark/benchmark.js | 55 +++++++ .../chebyshev-t-polynomial/docs/repl.txt | 38 +++++ .../docs/types/index.d.ts | 61 +++++++ .../chebyshev-t-polynomial/docs/types/test.ts | 56 +++++++ .../chebyshev-t-polynomial/examples/index.js | 35 ++++ .../chebyshev-t-polynomial/package.json | 68 ++++++++ 7 files changed, 467 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/examples/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md new file mode 100644 index 000000000000..42368bfa0f84 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md @@ -0,0 +1,154 @@ + + +# Chebyshev Polynomial of the first kind + +> [Chebyshev Polynomial][chebyshev-polynomial] of the first kind. + +
+ +The [Chebyshev Polynomial][chebyshev-polynomial] of the first kind is defined as + + + +```math +T_n(x) = \cos( n \cos^{-1}(x) ) +``` + + + +where `n >= 0` is the polynomial degree. + +The [Chebyshev Polynomial][chebyshev-polynomial] of the first kind is related to the Gaussian hypergeometric function via the following equation + + + +```math +T_n(x) = {}_2F_1\left( -n, n; \frac{1}{2}; \frac{1}{2}(1-x) \right) +``` + + + +
+ + + +
+ +## Usage + +```javascript +var chebyshevtpoly = require( '@stdlib/math/base/special/chebyshev-t-polynomial' ); +``` + +#### chebyshevtpoly( n, x ) + +Evaluates the [Chebyshev Polynomial][chebyshev-polynomial] of the first kind for a degree `n` at a value `x`. + +```javascript +var y = chebyshevtpoly( 0.0, 0.5 ); +// returns 1.0 + +y = chebyshevtpoly( 1.0, -0.5 ); +// returns -0.5 + +y = chebyshevtpoly( 5.0, 0.5 ); +// returns 0.5 +``` + +If provided `NaN` as any argument, the function returns `NaN`. + +```javascript +var y = chebyshevtpoly( NaN, 1.0 ); +// returns NaN + +y = chebyshevtpoly( 0.0, NaN ); +// returns NaN +``` + +If provided a polynomial degree `n < 0`, the function returns `NaN`. + +```javascript +var y = chebyshevtpoly( -2.0, 0.5 ); +// returns NaN + +y = chebyshevtpoly( -4.5, -0.5 ); +// returns NaN +``` + +If provided a polynomial degree `n` which is not a nonnegative integer, the function returns `NaN`. + +```javascript +var y = chebyshevtpoly( 2.5, 0.5 ); +// returns NaN + +y = chebyshevtpoly( 0.5, -0.5 ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var randu = require( '@stdlib/random/base/randu' ); +var round = require( '@stdlib/math/base/special/round' ); +var chebyshevtpoly = require( '@stdlib/math/base/special/chebyshev-t-polynomial' ); + +var n; +var x; +var y; +var i; + +for ( i = 0; i < 10; i++ ) { + n = round( randu()*10.0 ); + x = ( randu()*2.0 ) - 1.0; + y = chebyshevtpoly( n, x ); + console.log( 'n: %d, x: %d, T_n(x): %d', n.toFixed( 4 ), x.toFixed( 4 ), y.toFixed( 4 ) ); +} +``` + +
+ + + + + +
+ +
+ + + + + +
+ +[chebyshev-polynomial]: https://en.wikipedia.org/wiki/Chebyshev_polynomials#Definitions + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/benchmark/benchmark.js new file mode 100644 index 000000000000..74f82abd0cbf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/benchmark/benchmark.js @@ -0,0 +1,55 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pkg = require( './../package.json' ).name; +var chebyshevtpoly = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var n; + var x; + var y; + var i; + + n = discreteUniform( 100, 0, 50 ); + x = uniform( 100, -1.0, 1.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = chebyshevtpoly( n[ i % n.length ], x[ i % x.length ] ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/repl.txt new file mode 100644 index 000000000000..93e35334d028 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/repl.txt @@ -0,0 +1,38 @@ + +{{alias}}( n, x ) + Evaluates the Chebyshev polynomial of the first kind + for a degree `n` at a value `x`. + + Parameters + ---------- + n: number + Degree of the polynomial. + + x: number + Input value. + + Returns + ------- + out: number + Polynomial value. + + Examples + -------- + > var y = {{alias}}( 0.0, 0.5 ) + 1.0 + > y = {{alias}}( 1.0, -0.5 ) + -0.5 + > y = {{alias}}( 5.0, 0.5 ) + 0.5 + > y = {{alias}}( 2.5, 0.5 ) + NaN + > y = {{alias}}( -1.0, 0.5 ) + NaN + > y = {{alias}}( NaN, 1.0 ) + NaN + > y = {{alias}}( 1.0, NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts new file mode 100644 index 000000000000..1f2dea5aab70 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts @@ -0,0 +1,61 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2019 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Evaluates the Chebyshev polynomial of the first kind for a degree `n` at a value `x`. +* +* @param n - degree of the polynomial +* @param x - input value +* @returns polynomial value +* +* @example +* var y = chebyshevtpoly( 0.0, 0.5 ); +* // returns 1.0 +* +* @example +* var y = chebyshevtpoly( 1.0, -0.5 ); +* // returns -0.5 +* +* @example +* var y = chebyshevtpoly( 5.0, 0.5 ); +* // returns 0.5 +* +* @example +* var y = chebyshevtpoly( 2.5, 0.5 ); +* // returns NaN +* +* @example +* var y = chebyshevtpoly( -1.0, 0.5 ); +* // returns NaN +* +* @example +* var y = chebyshevtpoly( NaN, 1.0 ); +* // returns NaN +* +* @example +* var y = chebyshevtpoly( 1.0, NaN ); +* // returns NaN +*/ +declare function chebyshevtpoly( n: number, x: number ): number; + + +// EXPORTS // + +export = chebyshevtpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts new file mode 100644 index 000000000000..9a932976fe2c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts @@ -0,0 +1,56 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2019 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import chebyshevtpoly = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + chebyshevtpoly( 8.0, 1.0 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided values other than two numbers... +{ + chebyshevtpoly( true, 3 ); // $ExpectError + chebyshevtpoly( false, 2 ); // $ExpectError + chebyshevtpoly( '5', 1 ); // $ExpectError + chebyshevtpoly( [], 1 ); // $ExpectError + chebyshevtpoly( {}, 2 ); // $ExpectError + chebyshevtpoly( ( x: number ): number => x, 2 ); // $ExpectError + + chebyshevtpoly( 9, true ); // $ExpectError + chebyshevtpoly( 9, false ); // $ExpectError + chebyshevtpoly( 5, '5' ); // $ExpectError + chebyshevtpoly( 8, [] ); // $ExpectError + chebyshevtpoly( 9, {} ); // $ExpectError + chebyshevtpoly( 8, ( x: number ): number => x ); // $ExpectError + + chebyshevtpoly( [], true ); // $ExpectError + chebyshevtpoly( {}, false ); // $ExpectError + chebyshevtpoly( false, '5' ); // $ExpectError + chebyshevtpoly( {}, [] ); // $ExpectError + chebyshevtpoly( '5', ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + chebyshevtpoly(); // $ExpectError + chebyshevtpoly( 3 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/examples/index.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/examples/index.js new file mode 100644 index 000000000000..9702a4972d6c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/examples/index.js @@ -0,0 +1,35 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var randu = require( '@stdlib/random/base/randu' ); +var round = require( '@stdlib/math/base/special/round' ); +var chebyshevtpoly = require( './../lib' ); + +var n; +var x; +var y; +var i; + +for ( i = 0; i < 10; i++ ) { + n = round( randu()*10.0 ); + x = ( randu()*2.0 ) - 1.0; + y = chebyshevtpoly( n, x ); + console.log( 'n: %d, x: %d, T_n(x): %d', n.toFixed( 4 ), x.toFixed( 4 ), y.toFixed( 4 ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json new file mode 100644 index 000000000000..5efca9a53f58 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json @@ -0,0 +1,68 @@ +{ + "name": "@stdlib/math/base/special/chebyshevtpoly", + "version": "0.0.0", + "description": "Evaluates the Chebyshev polynomial of the first kind.", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "lib": "./lib", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "special function", + "special", + "function", + "chebyshev", + "polynomial", + "chebyshev-t-polynomial", + "chebyshevtpoly", + "tchebyshev", + "tchebyshev polynomial", + "first kind", + "hypergeometric function" + ] +} From a059fc76c7de6133e0d67567693c3a3d46fc1535 Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Tue, 4 Mar 2025 05:16:09 +0000 Subject: [PATCH 6/9] chore: update copyright years --- .../base/special/chebyshev-t-polynomial/docs/types/index.d.ts | 2 +- .../math/base/special/chebyshev-t-polynomial/docs/types/test.ts | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts index 1f2dea5aab70..f007d6f89415 100644 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/index.d.ts @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts index 9a932976fe2c..5be879cbd1db 100644 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/docs/types/test.ts @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* Copyright (c) 2025 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. From dec6cedb035a11db3a3a89845c70ee472ad51c12 Mon Sep 17 00:00:00 2001 From: Karan Anand <119553199+anandkaranubc@users.noreply.github.com> Date: Mon, 3 Mar 2025 22:18:15 -0800 Subject: [PATCH 7/9] chore: change 1 to 1.0 Signed-off-by: Karan Anand <119553199+anandkaranubc@users.noreply.github.com> --- .../math/base/special/chebyshev-t-polynomial/lib/main.js | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js index 938830d388cd..14f76d51991a 100644 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/main.js @@ -70,7 +70,7 @@ function chebyshevtpoly( n, x ) { ) { return NaN; } - return hyp2f1( -n, n, 0.5, 0.5*(1-x) ); + return hyp2f1( -n, n, 0.5, 0.5*(1.0-x) ); } From 8377ba6655b43565a2422f3e02c1e40d795c9271 Mon Sep 17 00:00:00 2001 From: Karan Anand Date: Mon, 3 Mar 2025 22:41:08 -0800 Subject: [PATCH 8/9] fix: example comments and typos --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: passed - task: lint_package_json status: passed - task: lint_repl_help status: na - task: lint_javascript_src status: passed - task: lint_javascript_cli status: na - task: lint_javascript_examples status: na - task: lint_javascript_tests status: na - task: lint_javascript_benchmarks status: na - task: lint_python status: na - task: lint_r status: na - task: lint_c_src status: na - task: lint_c_examples status: na - task: lint_c_benchmarks status: na - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: lint_typescript_declarations status: na - task: lint_typescript_tests status: na - task: lint_license_headers status: passed --- --- type: pre_push_report description: Results of running various checks prior to pushing changes. report: - task: run_javascript_examples status: na - task: run_c_examples status: na - task: run_cpp_examples status: na - task: run_javascript_readme_examples status: passed - task: run_c_benchmarks status: na - task: run_cpp_benchmarks status: na - task: run_fortran_benchmarks status: na - task: run_javascript_benchmarks status: na - task: run_julia_benchmarks status: na - task: run_python_benchmarks status: na - task: run_r_benchmarks status: na - task: run_javascript_tests status: na --- --- .../math/base/special/chebyshev-t-polynomial/README.md | 2 +- .../math/base/special/chebyshev-t-polynomial/lib/index.js | 6 +++--- .../math/base/special/chebyshev-t-polynomial/package.json | 2 +- 3 files changed, 5 insertions(+), 5 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md index 42368bfa0f84..66d0cb144bcf 100644 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md @@ -18,7 +18,7 @@ limitations under the License. --> -# Chebyshev Polynomial of the first kind +# chebyshevtpoly > [Chebyshev Polynomial][chebyshev-polynomial] of the first kind. diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js index 8b3c870f0e66..c0282fcb0063 100644 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/lib/index.js @@ -27,13 +27,13 @@ * var chebyshevtpoly = require( '@stdlib/math/base/special/chebyshev-t-polynomial' ); * * var y = chebyshevtpoly( 0.0, 0.5 ); -* // returns -4.0 +* // returns 1.0 * * y = chebyshevtpoly( 1.0, -0.5 ); -* // returns 10.0 +* // returns -0.5 * * y = chebyshevtpoly( 5.0, 0.5 ); -* // returns 0.0 +* // returns 0.5 * * y = chebyshevtpoly( 2.5, 0.5 ); * // returns NaN diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json index 5efca9a53f58..3ff023c96273 100644 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/package.json @@ -1,5 +1,5 @@ { - "name": "@stdlib/math/base/special/chebyshevtpoly", + "name": "@stdlib/math/base/special/chebyshev-t-polynomial", "version": "0.0.0", "description": "Evaluates the Chebyshev polynomial of the first kind.", "license": "Apache-2.0", From 8d69084f3f52736a08ae376e5cf2d4a9c8d29bfa Mon Sep 17 00:00:00 2001 From: Athan Date: Wed, 2 Apr 2025 16:20:12 -0700 Subject: [PATCH 9/9] docs: update copy Co-authored-by: Karan Anand <119553199+anandkaranubc@users.noreply.github.com> Signed-off-by: Athan --- .../@stdlib/math/base/special/chebyshev-t-polynomial/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md index 66d0cb144bcf..2f34e45ae25a 100644 --- a/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md +++ b/lib/node_modules/@stdlib/math/base/special/chebyshev-t-polynomial/README.md @@ -34,7 +34,7 @@ T_n(x) = \cos( n \cos^{-1}(x) ) -where `n >= 0` is the polynomial degree. +where `n` is the polynomial degree. The [Chebyshev Polynomial][chebyshev-polynomial] of the first kind is related to the Gaussian hypergeometric function via the following equation