soniumWave, FFT & fastmath · 22
Ducts, interfaces, radiating cavities, FFT contracts, and the vectorized-transcendental foundations. Method shown on hover; tolerance is the pass gate. back to QA
| Case | Tier | Reference | Gate |
|---|---|---|---|
fastmath.accuracy.v2 | smoke | platform f64::sin_cos evaluated by sonium-fastmath::accuracy_report | max sine/cosine EPSILON-at-one error <= 8; per-regime p95 <= 2 |
qa.accelerator-fault-contract.v1 | contract-gate | independent typed policy rejection checks | four invalid records rejected |
wave.1d-reference.v1 | reference-only | same closed-form analytical model | exact |
wave.cylinder-2d-reference.v1 | reference-only | same analytical Mie/cylinder series | series convergence |
wave.special-golden.v1 | physics-gate | checked-in decimal fixture generated independently of the Rust implementation | 5e-13 |
wave.diffusion-manufactured.v1 | reference-only | published manufactured solution u=A exp(-λt) sin(q(x-x₀)) | each maximum <= 5e-14 |
wave.diffusion-manufactured-2d.v1 | reference-only | manufactured solution u=A exp(-λt) sin(q_x(x-x₀))sin(q_y(y-y₀)) | each maximum <= 5e-13 |
wave.diffusion-manufactured-3d.v1 | reference-only | manufactured solution u=A exp(-lambda t) sin(q_x(x-x_0))sin(q_y(y-y_0))sin(q_z(z-z_0)) | each maximum <= 5e-13 |
wave.elasticity-manufactured-1d.v1 | reference-only | manufactured solution u=U sin(q(x-x₀)), b=E A q² u under -d(E A du/dx)/dx=b | exact identities and endpoints <= 5e-13; centered equilibrium relative residual <= 6e-5 |
wave.transport-manufactured-1d.v1 | reference-only | manufactured solution u=A sin(q(x-x₀)), s=-κuₓₓ+vuₓ+σu | exact identity and endpoints <= 5e-13; centered PDE relative residual <= 8e-5 |
wave.acoustic-interface-1d.v1 | reference-only | R=(Z₂-Z₁)/(Z₂+Z₁), T=2Z₂/(Z₂+Z₁), lossless intensity balance | each absolute residual <= 5e-13 |
wave.acoustic-duct-1d.v1 | reference-only | zero-length identity, matched-load input impedance, and time-average power conservation | each residual <= 5e-13 |
wave.rigid-duct-mode-1d.v1 | reference-only | modal frequency n*c/(2L), pressure antinodes, and refined zero-gradient wall trace | frequency and wall amplitude <= 5e-13; first-order wall-derivative refinement ratio <= 5e-6 |
wave.axisymmetric-rigid-cavity-mode.v1 | reference-only | J1 radial-root condition, exact Helmholtz identity, and zero normal derivative on radial/end walls | each metric <= 5e-12 |
wave.azimuthal-rigid-cavity-mode.v1 | reference-only | J_l derivative root, exact Helmholtz identity, rigid radial/end walls, and azimuthal 2*pi periodicity | each metric <= 5e-12 |
wave.incompressible-flow-manufactured-2d.v1 | reference-only | u=U sin(kx)cos(ky)e⁻²νk²t, v=-U cos(kx)sin(ky)e⁻²νk²t, exact Taylor-Green pressure | momentum and divergence <= 5e-13; centered velocity gradient <= 1e-4 |
wave.maxwell-manufactured-1d.v1 | reference-only | E_y=E₀ sin(q(x-x₀)) cos(ωt), H_z=-H₀ cos(q(x-x₀)) sin(ωt) | exact identities, source-free currents, and PEC endpoints <= 5e-13; centered spatial derivative <= 5e-5 |
wave.helmholtz-manufactured-2d.v1 | reference-only | manufactured solution p=P sin(q_x(x-x₀))sin(q_y(y-y₀)), f=(k²-q_x²-q_y²)p | each maximum <= 5e-13 |
wave.helmholtz-manufactured-3d.v1 | reference-only | manufactured solution p=P sin(q_x(x-x₀))sin(q_y(y-y₀))sin(q_z(z-z₀)), f=(k²-q_x²-q_y²-q_z²)p | each maximum <= 5e-13 |
wave.helmholtz-manufactured.v1 | reference-only | manufactured solution p=P sin(q(x-x₀)), f=(k²-q²)p | each maximum <= 5e-13 |
fft.checked-native-execution.v1 | smoke | checked native FftPlan buffer and scratch admission | typed malformed-shape and short-scratch rejection; finite valid output |
fft.family-contracts.v1 | smoke | independent scalar inner products, direct convolution, and energy identities | all reported errors <= 2e-9; four 1-D transform cases |