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Add Additional Examples#22

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smartalecH wants to merge 7 commits intomainfrom
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Add Additional Examples#22
smartalecH wants to merge 7 commits intomainfrom
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@smartalecH smartalecH commented Feb 9, 2026

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@smartalecH
Add per-phase timing instrumentation and cold/warm benchmarking to ex…
115e41e 
…amples

Add detailed timing to prepare_simulation! (per-phase: init_geometry,
init_boundaries, add_sources, init_fields, init_monitors) and to run()
(total steps, elapsed time, MVoxels/s overall and after 50-step warmup).

Augment all 6 example scripts to run twice with fresh simulation objects:
once cold (includes JIT compilation) and once warm, to separate algorithmic
cost from compilation overhead. Plotting is done only once at the end.
@smartalecH
Add feature roadmap and example coverage plan
5787dcf 
Two new documents in docs/:

- ROADMAP.md: Three-layer architecture (Frontend, Graph Compiler, Engine
  Backend) organizing 32+ feature gaps identified by comparing Khronos
  against Meep, Tidy3D, and fdtdx. Each feature specifies priority tier
  (P0-P3), implementation guidance, code references, and scope estimates.

- EXAMPLES.md: 49 proposed examples mapped against 33 Meep examples,
  199 Tidy3D notebooks, and 5 fdtdx examples. Includes 13 scaling and
  performance benchmarks (9 buildable now), cross-solver coverage matrix,
  and phased implementation plan aligned with the roadmap.
@smartalecH
Fix run_benchmark to synchronize GPU before measuring time
d8e4522 
run_benchmark was measuring CPU kernel launch time instead of actual
GPU execution time, inflating reported MCells/s by up to 120x at
large grid sizes. Add KernelAbstractions.synchronize() after warmup
and after the measurement loop.
@smartalecH
Add OrderedCollections dependency
7506343
@smartalecH
Add physics and benchmark example scripts
6cd9206 
- cw_steady_state.jl: CW source steady-state field validation
- fresnel_reflectance.jl: Fresnel reflectance via reflected-field subtraction
- anisotropic_slab.jl: Polarization-dependent Fabry-Perot transmission
- gaussian_beam_waist.jl: Gaussian beam waist measurement
- waveguide_2d_te.jl: 2D TE waveguide confinement
- throughput_vs_size.jl: Single-GPU throughput scaling with grid size
- throughput_vs_complexity.jl: Throughput vs physics complexity
- precision_comparison.jl: Float32 vs Float64 accuracy comparison
@smartalecH
Add GPU performance profiling and analysis scripts
fc0181f 
- bandwidth_analysis.jl: Actual vs reported throughput (sync bug analysis)
- bandwidth_deepdive.jl: Per-kernel bandwidth, stencil stride, OffsetArray overhead
- composability_test.jl: Isolate dispatch vs OffsetArray vs fusion overhead
- kernel_profiling.jl: Per-kernel timing breakdown with CUDA events
- profile_kernel.jl: Nsight-compatible profiling wrapper
@smartalecH
Remove Union type annotations from GPU kernels for 4.8x speedup
475ddae 
Removed ::Union{AbstractArray,Nothing} type annotations from step_curl!
and update_field! @kernel signatures in Timestep.jl. These annotations
prevented GPUCompiler from specializing per call-site concrete types,
forcing a single generic kernel with runtime dispatch. Added @inline to
all helper functions (generic_curl!, update_field_generic, scale_by_half,
get_σ, get_σD, get_m_inv) to ensure full inlining on GPU.

Results on A100 80GB (256³, Float64, PML):
- Full step: 363 → 1747 MCells/s (4.8x)
- Memory bandwidth: 262 → 1258 GB/s (13% → 62% of peak)
- step_curl!: 512 → 1661 GB/s (81% peak)
- update_field! (no source): 148 → 1365 GB/s (67% peak)

Updated ROADMAP.md with performance benchmarks across all examples and
a prioritized list of remaining optimization opportunities.
@meta-cla meta-cla bot added the CLA Signed This label is managed by the Meta Open Source bot. label Feb 9, 2026
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Remaining comments which cannot be posted as a review comment to avoid GitHub Rate Limit

JuliaFormatter

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_analysis.jl

Lines 89 to 90 in 475ddae

results[N] = (mcells_s=mcells_s, reported=reported_rate,
working_set_mb=working_set_mb, ms_per_step=ms_per_step)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_analysis.jl

Line 92 in 475ddae

println("$(N)^3: $(round(mcells_s, digits=0)) MCells/s (actual) vs $(round(reported_rate, digits=0)) MCells/s (run_benchmark) | working set: $(round(working_set_mb, digits=0)) MB | $(round(ms_per_step, digits=2)) ms/step")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_analysis.jl

Lines 104 to 105 in 475ddae

inflation = round(r.reported / r.mcells_s, digits=1)
println(" $(rpad(N, 6)) $(rpad(round(r.mcells_s, digits=0), 18)) $(rpad(round(r.reported, digits=0), 20)) $(rpad(string(inflation)*"x", 13)) $(round(r.working_set_mb, digits=0)) MB")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_analysis.jl

Lines 109 to 110 in 475ddae

f = Figure(size=(900, 500))
ax = Axis(f[1, 1],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_analysis.jl

Line 113 in 475ddae

title = "FDTD Throughput: Actual (synced) vs Reported (no sync)",

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_analysis.jl

Lines 118 to 120 in 475ddae

scatterlines!(ax, Float64.(Ns), actual, label="Actual (CUDA events)", color=:blue, markersize=10, linewidth=2)
scatterlines!(ax, Float64.(Ns), reported, label="Reported (run_benchmark)", color=:red, markersize=10, linewidth=2, linestyle=:dash)
axislegend(ax, position=:lt)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 19 in 475ddae

const Nx = N; const Ny = N; const Nz = N

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 23 to 24 in 475ddae

function cuda_time_events(f, n_reps; n_warmup=10)
for _ in 1:n_warmup; f(); end

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 29 in 475ddae

for _ in 1:n_reps; f(); end

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 50 in 475ddae

println("cudaMemcpy (1R+1W): $(round(bw_memcpy, digits=1)) GB/s ($(round(t_memcpy*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 55 in 475ddae

println("Broadcast SAXPY: $(round(bw_bcast, digits=1)) GB/s ($(round(t_bcast*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 63 in 475ddae

println("Broadcast 5-sum: $(round(bw_5sum, digits=1)) GB/s ($(round(t_5sum*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 91 in 475ddae

println("Broadcast 15-array: $(round(bw_15arr, digits=1)) GB/s ($(round(t_15arr*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 122 in 475ddae

t_ka_copy = cuda_time_events(() -> ka_copy_k(B_ka, A_ka, ndrange=n_elements), 200)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 124 in 475ddae

println("KA Copy (1R+1W): $(round(bw_ka_copy, digits=1)) GB/s ($(round(t_ka_copy*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 126 in 475ddae

t_ka_saxpy = cuda_time_events(() -> ka_saxpy_k(C_ka, A_ka, B_ka, 2.0, ndrange=n_elements), 200)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 128 in 475ddae

println("KA SAXPY (2R+1W): $(round(bw_ka_saxpy, digits=1)) GB/s ($(round(t_ka_saxpy*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 131 to 132 in 475ddae

println("KA copy overhead vs memcpy: $(round((t_ka_copy - t_memcpy) / t_memcpy * 100, digits=1))%")
println("KA copy overhead vs broadcast: $(round((t_ka_copy - t_bcast) / t_bcast * 100, digits=1))% (different op, just timing ref)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 152 in 475ddae

t_3d_plain = cuda_time_events(() -> ka_3d_plain(B_3d, A_3d, ndrange=(Nx, Ny, Nz)), 200)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 154 in 475ddae

println("KA 3D plain (ix+1): $(round(bw_3d_plain, digits=1)) GB/s ($(round(t_3d_plain*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 167 in 475ddae

t_3d_off = cuda_time_events(() -> ka_3d_off(B_off, A_off, ndrange=(Nx, Ny, Nz)), 200)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 169 in 475ddae

println("KA 3D OffsetArray+CI: $(round(bw_3d_off, digits=1)) GB/s ($(round(t_3d_off*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 171 in 475ddae

println("\nOffsetArray+CI overhead: $(round((t_3d_off - t_3d_plain) / t_3d_plain * 100, digits=1))%")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 207 to 208 in 475ddae

Kx = (src1[ix+1, iy+1, iz+2] - src1[ix+1, iy+1, iz+1]) -
(src2[ix+1, iy+2, iz+1] - src2[ix+1, iy+1, iz+1])

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 220 to 222 in 475ddae

t_sx = cuda_time_events(() -> k_sx(dst_3d, src_3d, ndrange=(Nx,Ny,Nz)), 200)
t_sy = cuda_time_events(() -> k_sy(dst_3d, src_3d, ndrange=(Nx,Ny,Nz)), 200)
t_sz = cuda_time_events(() -> k_sz(dst_3d, src_3d, ndrange=(Nx,Ny,Nz)), 200)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 224 to 226 in 475ddae

println("Stencil d/dx (stride-1): $(round(bytes_stencil/t_sx/1e9, digits=1)) GB/s ($(round(t_sx*1e6, digits=1)) μs)")
println("Stencil d/dy (stride-$(Nx+2)): $(round(bytes_stencil/t_sy/1e9, digits=1)) GB/s ($(round(t_sy*1e6, digits=1)) μs)")
println("Stencil d/dz (stride-$((Nx+2)*(Ny+2))): $(round(bytes_stencil/t_sz/1e9, digits=1)) GB/s ($(round(t_sz*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 229 to 230 in 475ddae

t_curl_v = cuda_time_events(() -> k_curl(dst_3d, src_3d, src2_3d, ndrange=(Nx,Ny,Nz)), 200)
println("Full curl (4R+1W, 2 arrays): $(round(bytes_curl/t_curl_v/1e9, digits=1)) GB/s ($(round(t_curl_v*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 247 to 248 in 475ddae

A[ix+1, iy+1, iz+1] = A[ix+1, iy+1, iz+1] +
(1.0 + sigma) * W[ix+1, iy+1, iz+1] - (1.0 - sigma) * W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 254 to 255 in 475ddae

Ax, Ay, Az, Tx, Ty, Tz, Wx, Wy, Wz,
sigma::Float64, m_inv::Float64)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 261 to 262 in 475ddae

Ax[ix+1, iy+1, iz+1] = Ax[ix+1, iy+1, iz+1] +
(1.0 + sigma) * Wx[ix+1, iy+1, iz+1] - (1.0 - sigma) * W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 267 to 268 in 475ddae

Ay[ix+1, iy+1, iz+1] = Ay[ix+1, iy+1, iz+1] +
(1.0 + sigma) * Wy[ix+1, iy+1, iz+1] - (1.0 - sigma) * W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 273 to 274 in 475ddae

Az[ix+1, iy+1, iz+1] = Az[ix+1, iy+1, iz+1] +
(1.0 + sigma) * Wz[ix+1, iy+1, iz+1] - (1.0 - sigma) * W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 279 in 475ddae

@kernel function ka_curl_3comp!(Tx, Ty, Tz, Ax, Ay, Az, dt::Float64, dx::Float64, dy::Float64, dz::Float64)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 282 in 475ddae

inv_dx = 1.0 / dx; inv_dy = 1.0 / dy; inv_dz = 1.0 / dz

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 285 to 286 in 475ddae

Kx = dt * (inv_dz * (Ay[ix+1, iy+1, iz+2] - Ay[ix+1, iy+1, iz+1]) -
inv_dy * (Az[ix+1, iy+2, iz+1] - Az[ix+1, iy+1, iz+1]))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 290 to 291 in 475ddae

Ky = dt * (inv_dx * (Az[ix+2, iy+1, iz+1] - Az[ix+1, iy+1, iz+1]) -
inv_dz * (Ax[ix+1, iy+1, iz+2] - Ax[ix+1, iy+1, iz+1]))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 295 to 296 in 475ddae

Kz = dt * (inv_dy * (Ax[ix+1, iy+2, iz+1] - Ax[ix+1, iy+1, iz+1]) -
inv_dx * (Ay[ix+2, iy+1, iz+1] - Ay[ix+1, iy+1, iz+1]))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 302 in 475ddae

test_arrays = [CUDA.rand(Float64, Nx+2, Ny+2, Nz+2) for _ in 1:12]

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 311 to 313 in 475ddae

t_upd1 = cuda_time_events(() -> k_upd1(test_arrays[1], test_arrays[2], test_arrays[3],
0.1, 1.0, ndrange=(Nx,Ny,Nz)), 200)
println("KA 1-comp update (3R+2W): $(round(bytes_1c/t_upd1/1e9, digits=1)) GB/s ($(round(t_upd1*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 315 to 320 in 475ddae

t_upd3 = cuda_time_events(() -> k_upd3(
test_arrays[1], test_arrays[2], test_arrays[3],
test_arrays[4], test_arrays[5], test_arrays[6],
test_arrays[7], test_arrays[8], test_arrays[9],
0.1, 1.0, ndrange=(Nx,Ny,Nz)), 200)
println("KA 3-comp update (9R+6W): $(round(bytes_3c/t_upd3/1e9, digits=1)) GB/s ($(round(t_upd3*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 324 to 328 in 475ddae

t_curl3 = cuda_time_events(() -> k_curl3(
test_arrays[1], test_arrays[2], test_arrays[3],
test_arrays[4], test_arrays[5], test_arrays[6],
0.5, 0.1, 0.1, 0.1, ndrange=(Nx,Ny,Nz)), 200)
println("KA 3-comp curl (9R+3RMW): $(round(bytes_curl3/t_curl3/1e9, digits=1)) GB/s ($(round(t_curl3*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 341 in 475ddae

time_profile = Khronos.ContinuousWaveSource(fcen=1.0),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 344 in 475ddae

size = [0.0, 0.0, 0.0],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 348 in 475ddae

cell_size = [cell_val, cell_val, cell_val],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 350 to 352 in 475ddae

resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 357 in 475ddae

for _ in 1:30; Khronos.step!(sim); end

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 373 in 475ddae

println(" $(rpad("Kernel", 25)) $(rpad("Time (μs)", 12)) $(rpad("BW @240B/vx", 14)) $(rpad("BW @120B/vx", 14))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 382 in 475ddae

println(" $(rpad(name, 25)) $(rpad(round(t*1e6, digits=1), 12)) $(bytes_vx==240 ? rpad(string(round(bw, digits=1))*" GB/s", 14) : rpad("-", 14)) $(bytes_vx==120 ? rpad(string(round(bw, digits=1))*" GB/s", 14) : rpad("-", 14))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 395 to 396 in 475ddae

println(" $(rpad("KA 3-comp curl (no PML)", 30)) $(round(bytes_curl3/t_curl3/1e9, digits=1))")
println(" $(rpad("KA 3-comp update (no PML)", 30)) $(round(bytes_3c/t_upd3/1e9, digits=1))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 398 in 475ddae

println(" $(rpad("Khronos update_field!", 30)) $(round(voxels*120/t_upd_H/1e9, digits=1))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 411 to 415 in 475ddae

("fHx", sim.fields.fHx), ("fHy", sim.fields.fHy), ("fHz", sim.fields.fHz),
("fBx", sim.fields.fBx), ("fBy", sim.fields.fBy), ("fBz", sim.fields.fBz),
("fWBx", sim.fields.fWBx), ("fWBy", sim.fields.fWBy), ("fWBz", sim.fields.fWBz),
("fPBx", sim.fields.fPBx), ("fPBy", sim.fields.fPBy), ("fPBz", sim.fields.fPBz),
("fSBx", sim.fields.fSBx), ("fSBy", sim.fields.fSBy), ("fSBz", sim.fields.fSBz),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 417 to 418 in 475ddae

("μ_inv_x", sim.geometry_data.μ_inv_x), ("μ_inv_y", sim.geometry_data.μ_inv_y), ("μ_inv_z", sim.geometry_data.μ_inv_z),
("σBx", sim.boundary_data.σBx), ("σBy", sim.boundary_data.σBy), ("σBz", sim.boundary_data.σBz),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 434 to 438 in 475ddae

("fEx", sim.fields.fEx), ("fEy", sim.fields.fEy), ("fEz", sim.fields.fEz),
("fDx", sim.fields.fDx), ("fDy", sim.fields.fDy), ("fDz", sim.fields.fDz),
("fWDx", sim.fields.fWDx), ("fWDy", sim.fields.fWDy), ("fWDz", sim.fields.fWDz),
("fPDx", sim.fields.fPDx), ("fPDy", sim.fields.fPDy), ("fPDz", sim.fields.fPDz),
("fSDx", sim.fields.fSDx), ("fSDy", sim.fields.fSDy), ("fSDz", sim.fields.fSDz),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 440 to 441 in 475ddae

("ε_inv_x", sim.geometry_data.ε_inv_x), ("ε_inv_y", sim.geometry_data.ε_inv_y), ("ε_inv_z", sim.geometry_data.ε_inv_z),
("σDx", sim.boundary_data.σDx), ("σDy", sim.boundary_data.σDy), ("σDz", sim.boundary_data.σDz),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Lines 457 to 460 in 475ddae

("fCBx", sim.fields.fCBx), ("fCBy", sim.fields.fCBy), ("fCBz", sim.fields.fCBz),
("fUBx", sim.fields.fUBx), ("fUBy", sim.fields.fUBy), ("fUBz", sim.fields.fUBz),
("geo σBx", sim.geometry_data.σBx), ("geo σBy", sim.geometry_data.σBy), ("geo σBz", sim.geometry_data.σBz),
("bnd σBx", sim.boundary_data.σBx), ("bnd σBy", sim.boundary_data.σBy), ("bnd σBz", sim.boundary_data.σBz),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 481 in 475ddae

println("""

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/bandwidth_deepdive.jl

Line 513 in 475ddae

""")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 15 to 18 in 475ddae

const Nx = N; const Ny = N; const Nz = N
function cuda_time_events(f, n_reps; n_warmup=10)
for _ in 1:n_warmup; f(); end

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 23 in 475ddae

for _ in 1:n_reps; f(); end

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 76 to 80 in 475ddae

Ax::Union{AbstractArray,Nothing}, Ay::Union{AbstractArray,Nothing}, Az::Union{AbstractArray,Nothing},
Tx::Union{AbstractArray,Nothing}, Ty::Union{AbstractArray,Nothing}, Tz::Union{AbstractArray,Nothing},
Wx::Union{AbstractArray,Nothing}, Wy::Union{AbstractArray,Nothing}, Wz::Union{AbstractArray,Nothing},
Px::Union{AbstractArray,Nothing}, Py::Union{AbstractArray,Nothing}, Pz::Union{AbstractArray,Nothing},
Sx::Union{AbstractArray,Nothing}, Sy::Union{AbstractArray,Nothing}, Sz::Union{AbstractArray,Nothing},

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 82 to 83 in 475ddae

m_inv_x::Union{AbstractArray,Nothing}, m_inv_y::Union{AbstractArray,Nothing}, m_inv_z::Union{AbstractArray,Nothing},
σx::Union{AbstractArray,Nothing}, σy::Union{AbstractArray,Nothing}, σz::Union{AbstractArray,Nothing},

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 88 to 93 in 475ddae

update_field_generic_test(Ax, Tx, Wx, Px, Sx,
get_m_inv_test(m_inv, m_inv_x, idx_array), get_σ_test(σx, ix), idx_array)
update_field_generic_test(Ay, Ty, Wy, Py, Sy,
get_m_inv_test(m_inv, m_inv_y, idx_array), get_σ_test(σy, iy), idx_array)
update_field_generic_test(Az, Tz, Wz, Pz, Sz,
get_m_inv_test(m_inv, m_inv_z, idx_array), get_σ_test(σz, iz), idx_array)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 98 to 100 in 475ddae

Ax, Ay, Az, # fields to update (E or H)
Tx, Ty, Tz, # timestepped fields (D or B)
Wx, Wy, Wz, # auxiliary PML fields

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 102 in 475ddae

σx, σy, σz, # PML conductivity (1D arrays)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 108 in 475ddae

sx = σx[2*ix-1]; sy = σy[2*iy-1]; sz = σz[2*iz-1]

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 129 to 131 in 475ddae

Ax, Ay, Az,
Tx, Ty, Tz,
Wx, Wy, Wz,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 133 in 475ddae

σx, σy, σz,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 138 in 475ddae

sx = σx[2*ix-1]; sy = σy[2*iy-1]; sz = σz[2*iz-1]

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 143 to 144 in 475ddae

Ax[ix+1, iy+1, iz+1] = Ax[ix+1, iy+1, iz+1] +
(1.0 + sx) * Wx[ix+1, iy+1, iz+1] - (1.0 - sx) * W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 149 to 150 in 475ddae

Ay[ix+1, iy+1, iz+1] = Ay[ix+1, iy+1, iz+1] +
(1.0 + sy) * Wy[ix+1, iy+1, iz+1] - (1.0 - sy) * W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 155 to 156 in 475ddae

Az[ix+1, iy+1, iz+1] = Az[ix+1, iy+1, iz+1] +
(1.0 + sz) * Wz[ix+1, iy+1, iz+1] - (1.0 - sz) * W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 165 to 171 in 475ddae

off_Ax = make_off(); off_Ay = make_off(); off_Az = make_off()
off_Tx = make_off(); off_Ty = make_off(); off_Tz = make_off()
off_Wx = make_off(); off_Wy = make_off(); off_Wz = make_off()
pln_Ax = make_plain(); pln_Ay = make_plain(); pln_Az = make_plain()
pln_Tx = make_plain(); pln_Ty = make_plain(); pln_Tz = make_plain()
pln_Wx = make_plain(); pln_Wy = make_plain(); pln_Wz = make_plain()

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 191 to 200 in 475ddae

t_composed = cuda_time_events(() -> k_composed(
off_Ax, off_Ay, off_Az,
off_Tx, off_Ty, off_Tz,
off_Wx, off_Wy, off_Wz,
nothing, nothing, nothing, # P
nothing, nothing, nothing, # S
1.0, # m_inv (scalar)
nothing, nothing, nothing, # m_inv_x/y/z
σx_off, σy_off, σz_off, # σ
ndrange=(Nx, Ny, Nz)), n_rep)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 202 in 475ddae

println("Composed (Khronos-style, OffsetArray+Nothing): $(round(bw_composed, digits=1)) GB/s ($(round(t_composed*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 206 to 211 in 475ddae

t_flat = cuda_time_events(() -> k_flat(
off_Ax, off_Ay, off_Az,
off_Tx, off_Ty, off_Tz,
off_Wx, off_Wy, off_Wz,
1.0, σx_1d, σy_1d, σz_1d,
ndrange=(Nx, Ny, Nz)), n_rep)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 213 in 475ddae

println("Flattened (OffsetArray, no dispatch): $(round(bw_flat, digits=1)) GB/s ($(round(t_flat*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 217 to 222 in 475ddae

t_bare = cuda_time_events(() -> k_bare(
pln_Ax, pln_Ay, pln_Az,
pln_Tx, pln_Ty, pln_Tz,
pln_Wx, pln_Wy, pln_Wz,
1.0, σx_1d, σy_1d, σz_1d,
ndrange=(Nx, Ny, Nz)), n_rep)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 224 in 475ddae

println("Bare (plain CuArray, ix+1 indexing): $(round(bw_bare, digits=1)) GB/s ($(round(t_bare*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 229 in 475ddae

cell_size = [cell_val, cell_val, cell_val],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 231 to 236 in 475ddae

resolution = 10,
sources = [Khronos.UniformSource(
time_profile = Khronos.ContinuousWaveSource(fcen=1.0),
component = Khronos.Ez(),
center = [0.0, 0.0, 0.0], size = [0.0, 0.0, 0.0])],
boundaries = [[1.0, 1.0], [1.0, 1.0], [1.0, 1.0]],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 239 in 475ddae

for _ in 1:30; Khronos.step!(sim); end

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 244 in 475ddae

println("Actual Khronos update_H_from_B!: $(round(bw_khronos, digits=1)) GB/s ($(round(t_khronos*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 249 to 252 in 475ddae

println(" Bare → Flattened+OffsetArray: $(round((t_flat/t_bare - 1)*100, digits=1))% (OffsetArray + CartesianIndex cost)")
println(" Flattened → Composed: $(round((t_composed/t_flat - 1)*100, digits=1))% (nested dispatch + Nothing args cost)")
println(" Composed → Khronos: $(round((t_khronos/t_composed - 1)*100, digits=1))% (remaining Khronos-specific overhead)")
println(" Total: Bare → Khronos: $(round((t_khronos/t_bare - 1)*100, digits=1))% ($(round(t_khronos/t_bare, digits=2))x slowdown)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 269 to 273 in 475ddae

typeof(off_Ax), typeof(off_Ay), typeof(off_Az),
typeof(off_Tx), typeof(off_Ty), typeof(off_Tz),
typeof(off_Wx), typeof(off_Wy), typeof(off_Wz),
Nothing, Nothing, Nothing,
Nothing, Nothing, Nothing,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 275 to 276 in 475ddae

Nothing, Nothing, Nothing,
typeof(σx_off), typeof(σy_off), typeof(σz_off),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 325 in 475ddae

Hx, Hy, Hz,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 327 in 475ddae

Ex, Ey, Ez,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 329 in 475ddae

Bx, By, Bz,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 331 in 475ddae

Wx, Wy, Wz,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 333 in 475ddae

Ux, Uy, Uz,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 335 in 475ddae

dt::Float64, dx::Float64, dy::Float64, dz::Float64, m_inv::Float64,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 337 in 475ddae

σx, σy, σz,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 342 in 475ddae

inv_dx = 1.0 / dx; inv_dy = 1.0 / dy; inv_dz = 1.0 / dz

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 346 to 347 in 475ddae

Kx = dt * (inv_dz * (Ey[ix+1, iy+1, iz+2] - Ey[ix+1, iy+1, iz+1]) -
inv_dy * (Ez[ix+1, iy+2, iz+1] - Ez[ix+1, iy+1, iz+1]))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 363 to 364 in 475ddae

Hx[ix+1, iy+1, iz+1] = Hx[ix+1, iy+1, iz+1] +
(1.0 + sx) * Wx[ix+1, iy+1, iz+1] - (1.0 - sx) * W_old_x

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 367 to 368 in 475ddae

Ky = dt * (inv_dx * (Ez[ix+2, iy+1, iz+1] - Ez[ix+1, iy+1, iz+1]) -
inv_dz * (Ex[ix+1, iy+1, iz+2] - Ex[ix+1, iy+1, iz+1]))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 378 to 379 in 475ddae

Hy[ix+1, iy+1, iz+1] = Hy[ix+1, iy+1, iz+1] +
(1.0 + sy) * Wy[ix+1, iy+1, iz+1] - (1.0 - sy) * W_old_y

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 382 to 383 in 475ddae

Kz = dt * (inv_dy * (Ex[ix+1, iy+2, iz+1] - Ex[ix+1, iy+1, iz+1]) -
inv_dx * (Ey[ix+2, iy+1, iz+1] - Ey[ix+1, iy+1, iz+1]))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 393 to 394 in 475ddae

Hz[ix+1, iy+1, iz+1] = Hz[ix+1, iy+1, iz+1] +
(1.0 + sz) * Wz[ix+1, iy+1, iz+1] - (1.0 - sz) * W_old_z

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 399 to 403 in 475ddae

fH = [make_plain() for _ in 1:3]
fE = [make_plain() for _ in 1:3]
fB = [make_plain() for _ in 1:3]
fW = [make_plain() for _ in 1:3]
fU = [make_plain() for _ in 1:3]

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 406 to 414 in 475ddae

t_fused = cuda_time_events(() -> k_fused(
fH[1], fH[2], fH[3],
fE[1], fE[2], fE[3],
fB[1], fB[2], fB[3],
fW[1], fW[2], fW[3],
fU[1], fU[2], fU[3],
0.5, 0.1, 0.1, 0.1, 1.0,
σx_1d, σy_1d, σz_1d,
ndrange=(Nx, Ny, Nz)), n_rep)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 428 to 429 in 475ddae

@kernel function unfused_curl!(Bx, By, Bz, Ex, Ey, Ez, Ux, Uy, Uz,
dt::Float64, dx::Float64, dy::Float64, dz::Float64, σx, σy, σz)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 432 to 450 in 475ddae

inv_dx = 1.0/dx; inv_dy = 1.0/dy; inv_dz = 1.0/dz
Kx = dt * (inv_dz * (Ey[ix+1,iy+1,iz+2] - Ey[ix+1,iy+1,iz+1]) -
inv_dy * (Ez[ix+1,iy+2,iz+1] - Ez[ix+1,iy+1,iz+1]))
U_old = Ux[ix+1,iy+1,iz+1]
Ux[ix+1,iy+1,iz+1] = Ux[ix+1,iy+1,iz+1] + Kx
Bx[ix+1,iy+1,iz+1] = Bx[ix+1,iy+1,iz+1] + Ux[ix+1,iy+1,iz+1] - U_old
Ky = dt * (inv_dx * (Ez[ix+2,iy+1,iz+1] - Ez[ix+1,iy+1,iz+1]) -
inv_dz * (Ex[ix+1,iy+1,iz+2] - Ex[ix+1,iy+1,iz+1]))
U_old = Uy[ix+1,iy+1,iz+1]
Uy[ix+1,iy+1,iz+1] = Uy[ix+1,iy+1,iz+1] + Ky
By[ix+1,iy+1,iz+1] = By[ix+1,iy+1,iz+1] + Uy[ix+1,iy+1,iz+1] - U_old
Kz = dt * (inv_dy * (Ex[ix+1,iy+2,iz+1] - Ex[ix+1,iy+1,iz+1]) -
inv_dx * (Ey[ix+2,iy+1,iz+1] - Ey[ix+1,iy+1,iz+1]))
U_old = Uz[ix+1,iy+1,iz+1]
Uz[ix+1,iy+1,iz+1] = Uz[ix+1,iy+1,iz+1] + Kz
Bz[ix+1,iy+1,iz+1] = Bz[ix+1,iy+1,iz+1] + Uz[ix+1,iy+1,iz+1] - U_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 454 to 455 in 475ddae

@kernel function unfused_update!(Hx, Hy, Hz, Bx, By, Bz, Wx, Wy, Wz,
m_inv::Float64, σx, σy, σz)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 458 in 475ddae

sx = σx[2*ix-1]; sy = σy[2*iy-1]; sz = σz[2*iz-1]

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 460 to 462 in 475ddae

W_old = Wx[ix+1,iy+1,iz+1]
Wx[ix+1,iy+1,iz+1] = m_inv * Bx[ix+1,iy+1,iz+1]
Hx[ix+1,iy+1,iz+1] = Hx[ix+1,iy+1,iz+1] + (1+sx)*Wx[ix+1,iy+1,iz+1] - (1-sx)*W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 464 to 466 in 475ddae

W_old = Wy[ix+1,iy+1,iz+1]
Wy[ix+1,iy+1,iz+1] = m_inv * By[ix+1,iy+1,iz+1]
Hy[ix+1,iy+1,iz+1] = Hy[ix+1,iy+1,iz+1] + (1+sy)*Wy[ix+1,iy+1,iz+1] - (1-sy)*W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 468 to 470 in 475ddae

W_old = Wz[ix+1,iy+1,iz+1]
Wz[ix+1,iy+1,iz+1] = m_inv * Bz[ix+1,iy+1,iz+1]
Hz[ix+1,iy+1,iz+1] = Hz[ix+1,iy+1,iz+1] + (1+sz)*Wz[ix+1,iy+1,iz+1] - (1-sz)*W_old

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 478 to 483 in 475ddae

k_ucurl(fB[1], fB[2], fB[3], fE[1], fE[2], fE[3],
fU[1], fU[2], fU[3], 0.5, 0.1, 0.1, 0.1, σx_1d, σy_1d, σz_1d,
ndrange=(Nx, Ny, Nz))
k_uupd(fH[1], fH[2], fH[3], fB[1], fB[2], fB[3],
fW[1], fW[2], fW[3], 1.0, σx_1d, σy_1d, σz_1d,
ndrange=(Nx, Ny, Nz))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Lines 491 to 492 in 475ddae

println("Unfused (2 kernels, plain arrays): $(round(bw_unfused, digits=1)) GB/s ($(round(t_unfused*1e6, digits=1)) μs)")
println("Fused (1 kernel, plain arrays): $(round(bw_fused, digits=1)) GB/s ($(round(t_fused*1e6, digits=1)) μs)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/composability_test.jl

Line 508 in 475ddae

println(" $(rpad(name, 50)) $(rpad(round(bw, digits=0), 8)) $(rpad(round(t*1e6, digits=1), 10)) $(round(t/t_ref, digits=2))x")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Lines 15 to 20 in 475ddae

resolution = 15 # pixels/μm (increase for accuracy)
cell_xyz = 14.0 # domain size (μm)
dpml = 1.0 # PML thickness (μm)
fcen = 1.0 # source frequency (1/μm → λ = 1 μm)
t_end = 25.0 # simulation time (enough CW cycles for steady state)
n_probes = 8 # number of radial probe points

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Lines 23 to 24 in 475ddae

function main(; resolution=resolution, cell_xyz=cell_xyz, dpml=dpml,
fcen=fcen, t_end=t_end, n_probes=n_probes)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 31 in 475ddae

r_probes = collect(range(r_min, r_max, length=n_probes))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 35 in 475ddae

time_profile = Khronos.ContinuousWaveSource(fcen=fcen),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 38 in 475ddae

size = [0.0, 0.0, 0.0],

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Khronos.jl/examples/cw_steady_state.jl

Line 49 in 475ddae

size = [0.0, 0.0, 0.0],

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Khronos.jl/examples/cw_steady_state.jl

Lines 51 to 52 in 475ddae

)
for r in r_probes

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 56 in 475ddae

cell_size = [cell_xyz, cell_xyz, cell_xyz],

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Khronos.jl/examples/cw_steady_state.jl

Lines 58 to 61 in 475ddae

resolution = resolution,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
monitors = monitors,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 64 in 475ddae

Khronos.run(sim, until=t_end)

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Khronos.jl/examples/cw_steady_state.jl

Line 68 in 475ddae

for i in 1:n_probes

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 86 in 475ddae

println(" Probes: $n_probes points, r ∈ [$(r_probes[1]), $(round(r_probes[end],digits=1))] μm")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Lines 90 to 91 in 475ddae

for i in 1:n_probes
println(" $(rpad(round(r_probes[i],digits=2), 11))$(rpad(round(amplitudes[i],digits=6), 13))$(rpad(round(predicted[i],digits=6), 13))$(round(rel_errors[i],digits=4))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 95 in 475ddae

println(" Status: $(mean_rel_err < 0.15 ? "PASS" : "FAIL") (threshold=0.15)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Line 99 in 475ddae

f = Figure(size=(900, 400))

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Khronos.jl/examples/cw_steady_state.jl

Lines 105 to 106 in 475ddae

xs = range(-cell_xyz/2, cell_xyz/2, length=size(ez_slice,1))
ys = range(-cell_xyz/2, cell_xyz/2, length=size(ez_slice,2))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Lines 109 to 112 in 475ddae

ax1 = Axis(f[1, 1], xlabel="x (μm)", ylabel="y (μm)",
title="CW Dipole Ez (XY plane)", aspect=DataAspect())
heatmap!(ax1, collect(xs), collect(ys), ez_slice,
colormap=:bluesreds, colorrange=(-vmax, vmax))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/cw_steady_state.jl

Lines 115 to 121 in 475ddae

ax2 = Axis(f[1, 2], xlabel="r (μm)", ylabel="|Ez| (DFT amplitude)",
title="Amplitude Decay: |Ez| vs A/r", yscale=log10, xscale=log10)
scatter!(ax2, r_probes, amplitudes, label="Khronos DFT", color=:blue, markersize=8)
r_dense = range(r_probes[1], r_probes[end], length=100)
lines!(ax2, collect(r_dense), A_fit ./ collect(r_dense),
label="A/r fit", color=:red, linewidth=2)
axislegend(ax2, position=:rt)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Lines 17 to 21 in 475ddae

n_slab = 3.5 # refractive index of dielectric half-space
wvl_min = 0.9 # shortest wavelength (μm)
wvl_max = 1.6 # longest wavelength (μm)
nfreq = 50 # number of frequency points
dpml = 1.0 # PML thickness (μm)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Lines 24 to 25 in 475ddae

function main(; resolution=resolution, n_slab=n_slab, wvl_min=wvl_min,
wvl_max=wvl_max, nfreq=nfreq, dpml=dpml)

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Khronos.jl/examples/fresnel_reflectance.jl

Line 29 in 475ddae

λ = range(wvl_min, wvl_max, length=nfreq)

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Khronos.jl/examples/fresnel_reflectance.jl

Line 36 in 475ddae

sz = 2 * dpml + 8.0

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Khronos.jl/examples/fresnel_reflectance.jl

Line 41 in 475ddae

function build_sim(; with_slab=false)

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Khronos.jl/examples/fresnel_reflectance.jl

Line 44 in 475ddae

time_profile = Khronos.GaussianPulseSource(fcen=fcen, fwidth=fwidth),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Line 46 in 475ddae

size = [Inf, Inf, 0.0],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Line 67 in 475ddae

size = [0.4, 0.4, 0.0],

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Khronos.jl/examples/fresnel_reflectance.jl

Line 72 in 475ddae

cell_size = [sxy, sxy, sz],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Lines 74 to 78 in 475ddae

resolution = resolution,
geometry = geometry,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
monitors = [refl_monitor],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Lines 87 to 88 in 475ddae

sim_norm = build_sim(with_slab=false)
Khronos.run(sim_norm,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Line 90 in 475ddae

tolerance=1e-11, minimum_runtime=20.0, maximum_runtime=500.0))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Lines 98 to 99 in 475ddae

sim_slab = build_sim(with_slab=true)
Khronos.run(sim_slab,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Line 101 in 475ddae

tolerance=1e-11, minimum_runtime=20.0, maximum_runtime=500.0))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Lines 107 to 109 in 475ddae

P_inc = sum(abs.(inc_fields).^2, dims=[1,2])[1,1,1,:]
P_refl = sum(abs.(refl_fields).^2, dims=[1,2])[1,1,1,:]
R_all = P_refl ./ P_inc

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Line 125 in 475ddae

rms_err = sqrt(sum((R_khronos .- R_analytic).^2) / length(R_khronos))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/fresnel_reflectance.jl

Lines 139 to 152 in 475ddae

f = Figure(size=(900, 400))
ax1 = Axis(f[1, 1], xlabel="Wavelength (μm)", ylabel="Reflectance",
title="Fresnel Reflectance: air → n=$n_slab")
lines!(ax1, λ_good, R_analytic, label="Analytic R=|(n-1)/(n+1)|²",
color=:red, linewidth=2)
scatterlines!(ax1, λ_good, R_khronos, label="Khronos",
color=:blue, markersize=4)
axislegend(ax1, position=:rt)
ax2 = Axis(f[1, 2], xlabel="Wavelength (μm)", ylabel="|R_khronos - R_analytic|",
title="Absolute Error", yscale=log10)
scatterlines!(ax2, λ_good, abs.(R_khronos .- R_analytic) .+ 1e-16,
color=:black, markersize=3)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 18 to 19 in 475ddae

resolution = 20 # pixels/μm
λ = 1.0 # wavelength (μm)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 21 to 22 in 475ddae

dpml = 1.0 # PML thickness
n_monitors = 7 # number of z-planes to measure waist

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 25 to 26 in 475ddae

function main(; resolution=resolution, λ=λ, waist_radius=waist_radius,
dpml=dpml, n_monitors=n_monitors)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 35 in 475ddae

sz = 2*dpml + 2*z_R + 4.0

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 41 in 475ddae

z_monitor = range(-z_R, z_R, length=n_monitors)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 46 to 48 in 475ddae

time_profile = Khronos.GaussianPulseSource(fcen=fcen, fwidth=0.15*fcen),
center = [0.0, 0.0, src_z],
size = [sxy, sxy, 0.0],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 51 in 475ddae

k_vector = [0.0, 0.0, 1.0],

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Khronos.jl/examples/gaussian_beam_waist.jl

Line 60 in 475ddae

size = [monitor_xy_size, 0.0, 0.0], # 1D line along x

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Khronos.jl/examples/gaussian_beam_waist.jl

Lines 62 to 63 in 475ddae

)
for z in z_monitor

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Khronos.jl/examples/gaussian_beam_waist.jl

Line 67 in 475ddae

cell_size = [sxy, sxy, sz],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 69 to 72 in 475ddae

resolution = resolution,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
monitors = monitors,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 79 in 475ddae

Khronos.run(sim,

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Khronos.jl/examples/gaussian_beam_waist.jl

Line 81 in 475ddae

tolerance=1e-7, minimum_runtime=0.0, maximum_runtime=300.0))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 87 in 475ddae

intensity = abs.(dft_data).^2

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 91 in 475ddae

xs = range(-monitor_xy_size/2, monitor_xy_size/2, length=nx)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 95 in 475ddae

x_var = sum((xs .- x_mean).^2 .* intensity) / total

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 115 in 475ddae

println(" $(round(z, digits=2))\t\t$(round(measured_waists[i], digits=3))\t\t$(round(w_analytic[i], digits=3))\t\t$(round(rel_errors[i], digits=3))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 123 to 133 in 475ddae

f = Figure(size=(900, 400))
ax1 = Axis(f[1, 1], xlabel="z (μm)", ylabel="Beam waist w(z) (μm)",
title="Gaussian Beam Waist: w₀=$(waist_radius) μm")
z_dense = range(-z_R, z_R, length=200)
w_dense = waist_radius .* sqrt.(1 .+ (collect(z_dense) ./ z_R).^2)
lines!(ax1, collect(z_dense), w_dense, label="Analytic w(z)=w₀√(1+(z/z_R)²)",
color=:red, linewidth=2)
scatter!(ax1, collect(z_monitor)[valid], measured_waists[valid],
label="Khronos (second moment)", color=:blue, markersize=8)
axislegend(ax1, position=:ct)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 138 in 475ddae

intensity_mid = abs.(dft_mid).^2

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Line 140 in 475ddae

xs = range(-monitor_xy_size/2, monitor_xy_size/2, length=nx)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 142 to 145 in 475ddae

ax2 = Axis(f[1, 2], xlabel="x (μm)", ylabel="|Ex|² (a.u.)",
title="Beam profile at z=$(round(collect(z_monitor)[mid_idx], digits=1)) μm")
lines!(ax2, collect(xs), intensity_mid ./ maximum(intensity_mid), color=:blue,
label="Khronos", linewidth=1.5)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/gaussian_beam_waist.jl

Lines 148 to 151 in 475ddae

gauss_fit = exp.(-2 .* collect(xs).^2 ./ w_at_z^2)
lines!(ax2, collect(xs), gauss_fit, color=:red, linestyle=:dash,
label="Gaussian (w=$(round(w_at_z, digits=2)))", linewidth=1.5)
axislegend(ax2, position=:rt)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 20 in 475ddae

time_profile = Khronos.ContinuousWaveSource(fcen=1.0),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 23 in 475ddae

size = [0.0, 0.0, 0.0],

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Khronos.jl/examples/kernel_profiling.jl

Line 28 in 475ddae

cell_size = [cell_val, cell_val, cell_val],

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Khronos.jl/examples/kernel_profiling.jl

Lines 30 to 32 in 475ddae

resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 64 in 475ddae

for _ in 1:30

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Khronos.jl/examples/kernel_profiling.jl

Line 83 in 475ddae

for _ in 1:n_reps

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Khronos.jl/examples/kernel_profiling.jl

Line 127 in 475ddae

t_inc = @elapsed for _ in 1:n_measure; Khronos.increment_timestep!(sim); end

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Khronos.jl/examples/kernel_profiling.jl

Lines 132 to 134 in 475ddae

("step_B_from_E!", t_step_B),
("update_H_from_B!", t_update_H),
("update_H_monitors!", t_H_mon),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Lines 136 to 139 in 475ddae

("step_D_from_H!", t_step_D),
("update_E_from_D!", t_update_E),
("update_E_monitors!", t_E_mon),
("increment_timestep!", t_inc),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 148 in 475ddae

println(" $(rpad(name, 30)) $(rpad(round(t * 1e6, digits=1), 12)) $(rpad(round(pct, digits=1), 10))%")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Lines 151 to 152 in 475ddae

println(" $(rpad("Sum of parts", 30)) $(rpad(round(total_parts * 1e6, digits=1), 12)) $(round(total_parts / t_full_step * 100, digits=1))%")
println(" $(rpad("Full step! (measured)", 30)) $(rpad(round(t_full_step * 1e6, digits=1), 12)) 100.0%")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 154 in 475ddae

println("\n Unaccounted overhead: $(round(overhead_pct, digits=1))% (Julia dispatch, kernel object creation, etc.)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 200 in 475ddae

println(" update_field!: $(bytes_update_field) bytes/voxel × 2 = $(2 * bytes_update_field)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Lines 221 to 224 in 475ddae

println(" $(rpad("step_B_from_E!", 25)) $(rpad(round(bw_step_B, digits=1), 10)) $(round(bw_step_B/peak_bw*100, digits=1))%")
println(" $(rpad("update_H_from_B!", 25)) $(rpad(round(bw_update_H, digits=1), 10)) $(round(bw_update_H/peak_bw*100, digits=1))%")
println(" $(rpad("step_D_from_H!", 25)) $(rpad(round(bw_step_D, digits=1), 10)) $(round(bw_step_D/peak_bw*100, digits=1))%")
println(" $(rpad("update_E_from_D!", 25)) $(rpad(round(bw_update_E, digits=1), 10)) $(round(bw_update_E/peak_bw*100, digits=1))%")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 226 in 475ddae

println(" $(rpad("Full step (aggregate)", 25)) $(rpad(round(bw_total, digits=1), 10)) $(round(bw_total/peak_bw*100, digits=1))%")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 240 in 475ddae

t_empty = cuda_time(() -> empty_k(ndrange=(N, N, N)), n_measure)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 258 in 475ddae

println("Est. launch overhead per step: $(round(n_total_kernels * t_empty * 1e6, digits=1)) μs ($(round(n_total_kernels * t_empty / t_full_step * 100, digits=1))%)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 285 in 475ddae

println(" $(rpad("Workgroup", 12)) $(rpad("Time (μs)", 12)) $(rpad("Rel. perf", 10))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 290 in 475ddae

println(" $(rpad("default", 12)) $(rpad(round(t_default * 1e6, digits=1), 12)) 1.00x")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Lines 295 to 305 in 475ddae

kern = Khronos.step_curl!(CUDABackend(), workgroupsize=ws)
t_ws = cuda_time(() -> kern(
sim.fields.fEx, sim.fields.fEy, sim.fields.fEz,
sim.fields.fBx, sim.fields.fBy, sim.fields.fBz,
sim.fields.fCBx, sim.fields.fCBy, sim.fields.fCBz,
sim.fields.fUBx, sim.fields.fUBy, sim.fields.fUBz,
sim.geometry_data.σBx, sim.geometry_data.σBy, sim.geometry_data.σBz,
sim.boundary_data.σBx, sim.boundary_data.σBy, sim.boundary_data.σBz,
sim.Δt, sim.Δx, sim.Δy, sim.Δz, 1,
ndrange = (sim.Nx, sim.Ny, sim.Nz),
), 50)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 307 in 475ddae

println(" $(rpad(ws, 12)) $(rpad(round(t_ws * 1e6, digits=1), 12)) $(round(speedup, digits=2))x")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 315 in 475ddae

println(" $(rpad("Workgroup", 20)) $(rpad("Time (μs)", 12)) $(rpad("Rel. perf", 10))")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 317 in 475ddae

for (wx, wy, wz) in [(8,8,4), (8,8,8), (4,4,16), (16,16,1), (32,8,1), (8,4,8), (4,8,8)]

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Lines 319 to 329 in 475ddae

kern = Khronos.step_curl!(CUDABackend(), workgroupsize=(wx, wy, wz))
t_ws = cuda_time(() -> kern(
sim.fields.fEx, sim.fields.fEy, sim.fields.fEz,
sim.fields.fBx, sim.fields.fBy, sim.fields.fBz,
sim.fields.fCBx, sim.fields.fCBy, sim.fields.fCBz,
sim.fields.fUBx, sim.fields.fUBy, sim.fields.fUBz,
sim.geometry_data.σBx, sim.geometry_data.σBy, sim.geometry_data.σBz,
sim.boundary_data.σBx, sim.boundary_data.σBy, sim.boundary_data.σBz,
sim.Δt, sim.Δx, sim.Δy, sim.Δz, 1,
ndrange = (sim.Nx, sim.Ny, sim.Nz),
), 50)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 331 in 475ddae

println(" $(rpad("($wx,$wy,$wz)", 20)) $(rpad(round(t_ws * 1e6, digits=1), 12)) $(round(speedup, digits=2))x")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 395 in 475ddae

println("Single array size: $(round(array_size_bytes / 1024^2, digits=1)) MB (($(N+2))^3 × 8 bytes)")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 416 in 475ddae

println("step_curl! touches ~15 3D arrays = $(round(15 * array_size_bytes / 1024^2, digits=0)) MB")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/kernel_profiling.jl

Line 419 in 475ddae

println("update_field! touches ~9 3D arrays = $(round(9 * array_size_bytes / 1024^2, digits=0)) MB")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Lines 17 to 20 in 475ddae

d_slab = 0.5 # slab thickness (μm)
n_slab = 3.5 # refractive index
nfreq = 60 # frequency points
n_steps = 100 # benchmark steps for throughput measurement

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 25 in 475ddae

t = ((1 + rho) * (1 - rho) .* exp.(-2im * π * n * d ./ λ)) ./

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 27 in 475ddae

return abs.(t).^2

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Khronos.jl/examples/precision_comparison.jl

Lines 30 to 31 in 475ddae

function run_precision_test(precision::DataType; resolution=resolution,
d_slab=d_slab, n_slab=n_slab, nfreq=nfreq)

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Khronos.jl/examples/precision_comparison.jl

Line 35 in 475ddae

λ = range(1.0, 2.0, length=nfreq)

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Khronos.jl/examples/precision_comparison.jl

Line 40 in 475ddae

sz = 2*dpml + 4*0.5

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Khronos.jl/examples/precision_comparison.jl

Line 42 in 475ddae

function build_sim(; with_slab=false)

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Khronos.jl/examples/precision_comparison.jl

Line 45 in 475ddae

time_profile = Khronos.GaussianPulseSource(fcen=1/1.5, fwidth=0.4),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 47 in 475ddae

size = [Inf, Inf, 0.0],

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Khronos.jl/examples/precision_comparison.jl

Lines 53 to 55 in 475ddae

geometry = with_slab ?
[Khronos.Object(Cuboid([0,0,0], [sxy, sxy, d_slab]),
Khronos.Material(ε=n_slab^2))] : []

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 61 in 475ddae

size = [0.4, 0.4, 0.0],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 67 in 475ddae

cell_size = [sxy, sxy, sz],

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Khronos.jl/examples/precision_comparison.jl

Lines 69 to 73 in 475ddae

resolution = resolution,
geometry = geometry,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
monitors = monitors,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 78 in 475ddae

sum(abs.(sim.monitors[1].monitor_data.fields).^2, dims=[1,2])[1,1,1,:]

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Lines 81 to 82 in 475ddae

sim_norm = build_sim(with_slab=false)
Khronos.run(sim_norm,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 84 in 475ddae

tolerance=1e-9, minimum_runtime=0.0, maximum_runtime=300.0))

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Khronos.jl/examples/precision_comparison.jl

Lines 88 to 89 in 475ddae

sim_slab = build_sim(with_slab=true)
Khronos.run(sim_slab,

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 91 in 475ddae

tolerance=1e-9, minimum_runtime=0.0, maximum_runtime=300.0))

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 95 in 475ddae

sim_bench = build_sim(with_slab=true)

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Line 102 in 475ddae

λ = collect(range(1.0, 2.0, length=nfreq))

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Khronos.jl/examples/precision_comparison.jl

Lines 121 to 122 in 475ddae

println(" Float64 $(rpad(round(rate_f64,digits=1), 12))$(rpad(round(err_f64,digits=6), 17))1.00×")
println(" Float32 $(rpad(round(rate_f32,digits=1), 12))$(rpad(round(err_f32,digits=6), 17))$(round(rate_f32/rate_f64, digits=2))×")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/precision_comparison.jl

Lines 126 to 139 in 475ddae

f = Figure(size=(900, 400))
ax1 = Axis(f[1, 1], xlabel="Wavelength (μm)", ylabel="Transmission",
title="Slab Transmission: Float32 vs Float64")
lines!(ax1, λ, T_analytic, label="Analytic", color=:black, linewidth=2)
scatterlines!(ax1, λ, T_f64, label="Float64", color=:blue, markersize=4)
scatterlines!(ax1, λ, T_f32, label="Float32", color=:red, markersize=4)
axislegend(ax1, position=:rb)
ax2 = Axis(f[1, 2], xlabel="Precision", ylabel="Value",
title="Performance Comparison",
xticks=([1, 2], ["Float64", "Float32"]))
barplot!(ax2, [1, 2], [rate_f64, rate_f32], color=[:blue, :red],
bar_labels=:y, label_formatter=x -> "$(round(x, digits=0)) MC/s")

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/profile_kernel.jl

Line 14 in 475ddae

time_profile = Khronos.ContinuousWaveSource(fcen=1.0),

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/profile_kernel.jl

Line 17 in 475ddae

size = [0.0, 0.0, 0.0],

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Khronos.jl/examples/profile_kernel.jl

Line 22 in 475ddae

cell_size = [cell_val, cell_val, cell_val],

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Khronos.jl/examples/profile_kernel.jl

Lines 24 to 26 in 475ddae

resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/profile_kernel.jl

Line 31 in 475ddae

for _ in 1:20

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/profile_kernel.jl

Line 40 in 475ddae

for _ in 1:3

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Khronos.jl/examples/throughput_vs_complexity.jl

Lines 22 to 25 in 475ddae

N = 128 # grid dimension (N³ voxels) — increase for larger GPUs
res = 10 # resolution (pixels/μm)
n_steps = 100 # timesteps per measurement
dpml = 1.0 # PML thickness

[JuliaFormatter] reported by reviewdog 🐶

Khronos.jl/examples/throughput_vs_complexity.jl

Line 28 in 475ddae

function main(; N=N, res=res, n_steps=n_steps, dpml=dpml)

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Khronos.jl/examples/throughput_vs_complexity.jl

Line 36 in 475ddae

time_profile = Khronos.ContinuousWaveSource(fcen=1.0),

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Khronos.jl/examples/throughput_vs_complexity.jl

Line 39 in 475ddae

size = [0.0, 0.0, 0.0],

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Khronos.jl/examples/throughput_vs_complexity.jl

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configs = OrderedDict{String, NamedTuple}()

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Khronos.jl/examples/throughput_vs_complexity.jl

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sources = [base_source],

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Khronos.jl/examples/throughput_vs_complexity.jl

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geometry = nothing,
monitors = nothing,

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Khronos.jl/examples/throughput_vs_complexity.jl

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sources = [base_source],

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Khronos.jl/examples/throughput_vs_complexity.jl

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geometry = nothing,
monitors = nothing,

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Khronos.jl/examples/throughput_vs_complexity.jl

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sources = [base_source],

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Khronos.jl/examples/throughput_vs_complexity.jl

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geometry = [

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Khronos.jl/examples/throughput_vs_complexity.jl

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Khronos.Material(ε=3.5),

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Khronos.jl/examples/throughput_vs_complexity.jl

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monitors = nothing,

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Khronos.jl/examples/throughput_vs_complexity.jl

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mats = [Khronos.Material(ε=e) for e in [1.5, 2.5, 3.5, 2.0, 1.8, 3.0]]

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Khronos.jl/examples/throughput_vs_complexity.jl

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Cuboid([0.0, 0.0, -cell_val/2 + (i-0.5)*layer_thick],
[cell_val, cell_val, layer_thick]),

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Khronos.jl/examples/throughput_vs_complexity.jl

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)
for i in 1:6

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Khronos.jl/examples/throughput_vs_complexity.jl

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sources = [base_source],

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Khronos.jl/examples/throughput_vs_complexity.jl

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geometry = layers,
monitors = nothing,

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Khronos.jl/examples/throughput_vs_complexity.jl

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sources = [base_source],

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Khronos.jl/examples/throughput_vs_complexity.jl

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geometry = [

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Khronos.jl/examples/throughput_vs_complexity.jl

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Khronos.Material(ε=3.5),

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Khronos.jl/examples/throughput_vs_complexity.jl

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monitors = [

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Khronos.jl/examples/throughput_vs_complexity.jl

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size = [cell_val/2, cell_val/2, 0.0],
frequencies = collect(range(0.5, 1.5, length=10)),

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Khronos.jl/examples/throughput_vs_complexity.jl

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results = OrderedDict{String, Float64}()

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Khronos.jl/examples/throughput_vs_complexity.jl

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kwargs = Dict{Symbol, Any}(
:cell_size => [cell_val, cell_val, cell_val],

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Khronos.jl/examples/throughput_vs_complexity.jl

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:resolution => res,
:sources => cfg.sources,

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Khronos.jl/examples/throughput_vs_complexity.jl

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rel = round(rate / baseline, digits=2)

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Khronos.jl/examples/throughput_vs_complexity.jl

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f = Figure(size=(800, 500))
ax = Axis(f[1, 1],

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Khronos.jl/examples/throughput_vs_complexity.jl

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title = "FDTD Throughput vs. Physics Complexity ($(N)^3 grid)",

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Khronos.jl/examples/throughput_vs_complexity.jl

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barplot!(ax, 1:length(results), collect(values(results)),
color=:steelblue, bar_labels=:y,
label_formatter=x -> "$(round(x, digits=0))")

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Khronos.jl/examples/throughput_vs_size.jl

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n_steps = 100 # timesteps per measurement

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Khronos.jl/examples/throughput_vs_size.jl

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function main(; grid_sizes=grid_sizes, n_steps=n_steps)

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Khronos.jl/examples/throughput_vs_size.jl

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results = Dict{Int, Float64}()

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Khronos.jl/examples/throughput_vs_size.jl

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time_profile = Khronos.ContinuousWaveSource(fcen=1.0),

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Khronos.jl/examples/throughput_vs_size.jl

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size = [0.0, 0.0, 0.0],

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Khronos.jl/examples/throughput_vs_size.jl

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cell_size = [cell_size_val, cell_size_val, cell_size_val],

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Khronos.jl/examples/throughput_vs_size.jl

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resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],

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Khronos.jl/examples/throughput_vs_size.jl

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f = Figure(size=(800, 500))
ax = Axis(f[1, 1],

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Khronos.jl/examples/throughput_vs_size.jl

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title = "Single-GPU FDTD Throughput vs. Problem Size",

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Khronos.jl/examples/throughput_vs_size.jl

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scatterlines!(ax, Float64.(voxels), rates,
color=:blue, markersize=10, linewidth=2,
label="Khronos (CUDA, Float64)")
axislegend(ax, position=:rb)

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Khronos.jl/examples/waveguide_2d_te.jl

Lines 18 to 25 in 475ddae

n_core = 3.4 # core refractive index (e.g. Si)
n_clad = 1.44 # cladding refractive index (e.g. SiO₂)
wg_width = 0.5 # waveguide width (μm)
cell_x = 8.0 # propagation length (μm)
cell_y = 4.0 # transverse extent (μm)
dpml = 0.5 # PML thickness
fcen = 0.65 # source frequency (1/μm) → λ ≈ 1.55 μm
t_end = 30.0 # simulation time

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Khronos.jl/examples/waveguide_2d_te.jl

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function main(; resolution=resolution, n_core=n_core, n_clad=n_clad,
wg_width=wg_width, cell_x=cell_x, cell_y=cell_y,
dpml=dpml, fcen=fcen, t_end=t_end)

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Khronos.jl/examples/waveguide_2d_te.jl

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time_profile = Khronos.ContinuousWaveSource(fcen=fcen),

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Khronos.jl/examples/waveguide_2d_te.jl

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size = [0.0, wg_width * 0.8, 0.0],

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Khronos.jl/examples/waveguide_2d_te.jl

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size = [0.0, mon_y_size, 0.0],

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Khronos.jl/examples/waveguide_2d_te.jl

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size = [0.0, mon_y_size, 0.0],

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Khronos.jl/examples/waveguide_2d_te.jl

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cell_size = [cell_x, cell_y, dz],

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Khronos.jl/examples/waveguide_2d_te.jl

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resolution = resolution,
geometry = geometry,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [0.0, 0.0]],
monitors = monitors,

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Khronos.jl/examples/waveguide_2d_te.jl

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Khronos.run(sim, until=t_end)

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Khronos.jl/examples/waveguide_2d_te.jl

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profile_far = Array(abs.(sim.monitors[2].monitor_data.fields[1, :, 1, 1]))

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Khronos.jl/examples/waveguide_2d_te.jl

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ys_mon = range(-mon_y_size/2, mon_y_size/2, length=ny_mon)

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Khronos.jl/examples/waveguide_2d_te.jl

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power_in_core = sum(profile_far[core_mask].^2)
power_total = sum(profile_far.^2)
confinement = power_total > 0 ? power_in_core / power_total : 0.0

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Khronos.jl/examples/waveguide_2d_te.jl

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f = Figure(size=(900, 500))

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Khronos.jl/examples/waveguide_2d_te.jl

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ax1 = Axis(f[1, 1:2], xlabel="x (μm)", ylabel="y (μm)",
title="Ez field (TE waveguide, XY plane)", aspect=DataAspect())
xs_2d = range(-cell_x/2, cell_x/2, length=size(ez,1))
ys_2d = range(-cell_y/2, cell_y/2, length=size(ez,2))

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Khronos.jl/examples/waveguide_2d_te.jl

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hm = heatmap!(ax1, collect(xs_2d), collect(ys_2d), ez,
colormap=:bluesreds, colorrange=(-vmax, vmax))

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Khronos.jl/examples/waveguide_2d_te.jl

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hlines!(ax1, [-wg_width/2, wg_width/2], color=:white, linestyle=:dash, linewidth=1)

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Khronos.jl/examples/waveguide_2d_te.jl

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ax2 = Axis(f[2, 1], xlabel="y (μm)", ylabel="|Ez| (a.u.)",
title="Near field (x=$(round(mon_x1,digits=1)))")

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Khronos.jl/examples/waveguide_2d_te.jl

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lines!(ax2, collect(ys_mon), profile_near ./ maximum(profile_near), color=:blue)

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Khronos.jl/examples/waveguide_2d_te.jl

Line 141 in 475ddae

vlines!(ax2, [-wg_width/2, wg_width/2], color=:gray, linestyle=:dash)

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Khronos.jl/examples/waveguide_2d_te.jl

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ax3 = Axis(f[2, 2], xlabel="y (μm)", ylabel="|Ez| (a.u.)",
title="Far field (x=$(round(mon_x2,digits=1)))")

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Khronos.jl/examples/waveguide_2d_te.jl

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lines!(ax3, collect(ys_mon), profile_far ./ maximum(profile_far), color=:blue)

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Khronos.jl/examples/waveguide_2d_te.jl

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vlines!(ax3, [-wg_width/2, wg_width/2], color=:gray, linestyle=:dash)

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Khronos.jl/src/Simulation.jl

Line 69 in 475ddae

@info("Preparing simulation object ($(sim.Nx)×$(sim.Ny)×$(sim.Nz) = $(num_voxels) voxels)...")

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Khronos.jl/src/Simulation.jl

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@info("Simulation complete: $(total_steps) steps in $(round(elapsed, digits=3))s " *
"($(round(mcells_per_s, digits=1)) MVoxels/s overall, " *
"$(round(steady_rate, digits=1)) MVoxels/s after warmup)")

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Khronos.jl/src/Simulation.jl

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@info("Simulation complete: $(total_steps) steps in $(round(elapsed, digits=3))s ($(round(mcells_per_s, digits=1)) MVoxels/s)")

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Khronos.jl/src/Timestep.jl

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Ax, Ay, Az,
Tx, Ty, Tz,
Cx, Cy, Cz,
Ux, Uy, Uz,
σDx, σDy, σDz,
σx, σy, σz,
Δt, Δx, Δy, Δz,

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Khronos.jl/src/Timestep.jl

Line 294 in 475ddae

@inline function generic_curl!(K, C, U::Nothing, T, σD, σ_next::AbstractArray, σ_prev, idx_array)

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Khronos.jl/src/Timestep.jl

Lines 451 to 457 in 475ddae

Ax, Ay, Az,
Tx, Ty, Tz,
Wx, Wy, Wz,
Px, Py, Pz,
Sx, Sy, Sz,
m_inv, m_inv_x, m_inv_y, m_inv_z,
σx, σy, σz,

examples/anisotropic_slab.jl
Comment on lines +18 to +22
εx = 4.0 # permittivity seen by x-polarized light
εy = 1.5 # permittivity seen by y-polarized light
εz = 4.0 # permittivity along propagation direction
d_slab = 0.5 # slab thickness (μm)
dpml = 0.5 # PML thickness
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Suggested change
εx = 4.0 # permittivity seen by x-polarized light
εy = 1.5 # permittivity seen by y-polarized light
εz = 4.0 # permittivity along propagation direction
d_slab = 0.5 # slab thickness (μm)
dpml = 0.5 # PML thickness
εx = 4.0 # permittivity seen by x-polarized light
εy = 1.5 # permittivity seen by y-polarized light
εz = 4.0 # permittivity along propagation direction
d_slab = 0.5 # slab thickness (μm)
dpml = 0.5 # PML thickness

examples/anisotropic_slab.jl
Comment on lines +25 to +26
function main(; resolution=resolution, εx=εx, εy=εy, εz=εz,
d_slab=d_slab, dpml=dpml)
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Suggested change
function main(; resolution=resolution, εx=εx, εy=εy, εz=εz,
d_slab=d_slab, dpml=dpml)
function main(;
resolution = resolution,
εx = εx,
εy = εy,
εz = εz,
d_slab = d_slab,
dpml = dpml,
)

examples/anisotropic_slab.jl
Khronos.choose_backend(Khronos.CUDADevice(), Float64)

# Use the same source parameters as the known-working periodic_slab.jl
λ = range(1.0, 2.0, length=100)
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Suggested change
λ = range(1.0, 2.0, length=100)
λ = range(1.0, 2.0, length = 100)

examples/anisotropic_slab.jl
monitor_xy = 0.5
monitor_height = 0.5
sxy = 2*dpml + monitor_xy
sz = 2*dpml + 4*monitor_height
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Suggested change
sz = 2*dpml + 4*monitor_height
sz = 2*dpml + 4*monitor_height

examples/anisotropic_slab.jl
Comment on lines +42 to +44
t = ((1 .+ rho) .* (1 .- rho) .* exp.(-2im * π * n * d ./ λ_vec)) ./
(1 .- rho.^2 .* exp.(-4im * π * n * d ./ λ_vec))
return abs.(t).^2
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Suggested change
t = ((1 .+ rho) .* (1 .- rho) .* exp.(-2im * π * n * d ./ λ_vec)) ./
(1 .- rho.^2 .* exp.(-4im * π * n * d ./ λ_vec))
return abs.(t).^2
t =
((1 .+ rho) .* (1 .- rho) .* exp.(-2im * π * n * d ./ λ_vec)) ./
(1 .- rho .^ 2 .* exp.(-4im * π * n * d ./ λ_vec))
return abs.(t) .^ 2

examples/bandwidth_analysis.jl
Comment on lines +39 to +41
resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
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Suggested change
resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],

examples/bandwidth_analysis.jl
working_set_mb = n_arrays * array_bytes / 1024^2

# Warmup
for _ in 1:n_warmup
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Suggested change
for _ in 1:n_warmup
for _ = 1:n_warmup

examples/bandwidth_analysis.jl
stop_event = CUDA.CuEvent()

CUDA.record(start_event)
for _ in 1:n_measure
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Suggested change
for _ in 1:n_measure
for _ = 1:n_measure

examples/bandwidth_analysis.jl

# Also measure with run_benchmark for comparison (has the sync bug)
sim2 = Khronos.Simulation(
cell_size = [cell_val, cell_val, cell_val],
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Suggested change
cell_size = [cell_val, cell_val, cell_val],
cell_size = [cell_val, cell_val, cell_val],

examples/bandwidth_analysis.jl
Comment on lines +83 to +85
resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
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[JuliaFormatter] reported by reviewdog 🐶

Suggested change
resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],
resolution = 10,
sources = sources,
boundaries = [[dpml, dpml], [dpml, dpml], [dpml, dpml]],

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