Stryker found the post-pass cap record unobserved: the only capped case ended on the step site.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The release choice and the pass judgement are internal functions (SelectRelease, JudgePass) and Solve reports each
decision, in order and with the values it compared, to an optional internal ISolveTrace. The tests assert those decisions
with exact equality against the traces the base commit dbcb2a8e produced on the same problems, and call the two functions
directly on states a solve may never reach. Solve's own n < 0 check is deleted (Validate throws the same exception), and the
NonFiniteTarget member doc names the n = 0 case.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
A rescaled problem takes five passes on its own merits; the assertion is that the solve does not spin to the cap.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
W5 with its columns rotated so every column is the released one; the noise gate across column scales; two small problems
whose release is confirmed by a second pass. Untested at this commit.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Adds BoundedLeastSquaresInput and BoundedLeastSquares.Validate (tolerance, bounds, matrix, target; first failure).
Solve calls it and its inline tolerance, bounds and A^T b finiteness checks are deleted. Untested at this commit.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
A bound is released only when its violation exceeds both kktTol and the rounding
bound of its double gradient (Higham gamma_(n+1)); the cost-progress rule now judges
only passes that release nothing, and a release resets fMark. Fixes a cold start
stopping Converged with a violated bound (Soul W5, finding
aetheria-release:finding:cut-thrust-allocator-core.s1.solver-converged-early).
Tests: the W5 problem (cold == re-solve at 1e-12 and 1e-9) and the seed-141 noise
case. Builds; verified on Yggdrasil in the following report.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Asserts per output (value, and each snoise_grad component) that it differs
from 0.3.0 on the tie set, and pins the 0.4.0 values as goldens beside the
0.3.0 ones, so reverting either math.cs:614 or :720 alone fails the test. The
comment says inputs within a few float32 ulps of the set can tie too. Not yet
run when committed; the next commit-free verification run follows.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The Breaking entry now names the whole tie set (inputs whose y-x and z-x are
whole numbers, every integer point included, change by up to 0.776), with
examples and a consumer warning; design.md and the NoiseGradTests comment drop
the narrower origin-and-(t,t,t) wording. Docs and test comment only; builds.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Inputs whose coordinate differences y-x and z-x are whole numbers move from the
0.3.0 value; inputs off that set keep its bits. The goldens were computed by
the cultmath-unity-v0.3.0 tag's tracked CultMath.dll. Builds.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The release flips at 1.05x and 0.95x of the computed relative gradient at four
weights either side of 1e-6; all-free conditioned solves change between the
default and 1e-12; the omitted tolerance releases at 1.1e-6 and not at 0.9e-6.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Default and explicit-default are bit-identical; a light term under a heavy row
and an allocator-shaped problem are start-dependent at the default and solved
tight at 1e-12; invalid tolerances leave x untouched; the noise-floor fixtures
stop on progress at 1e-12 and 1e-30 (at most 6 iterations); the tolerance path
allocates nothing; the original ten-parameter signature still exists.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Records status, iteration count and every float bit of x for the A54/B5 fixture,
three seeded random problems and a Duel allocator problem, taken at f7ab6212.
The kktRelativeTolerance cut must keep these literals unchanged.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Deleting the affine gate's detail ball (51a4034c) gave up 6 of 5933 provable culls inside the fog
(first: (b) inside the fog [affine]); the gate never gives up a provable cull, and a 1.4% probe
saving does not buy breaking that. The detail ball is back in the affine gate, and the gate test
now includes the fog interior, the only field where the interval gate's detail ball decides, so
saturating either gate's detail ball fails the test.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Two families are appended (256 cases each, reach |axis| + radius of 1e-6 to 1e-3, the centre in
[-50, 50] or [-1, 1]); the earlier families are byte-identical. In the main families the
second-order remainder is at least 0.057 of e even without the allowance; here the float32
allowance is most of e, so a device whose gradient error exceeds it fails the enclosure check.
Their check text adds the centre leg for every af_snoise and af_fbm family: the fixture's own
x0 (C#'s value at the centre) must lie in the device form's [x0 - e, x0 + e], so a device whose
noise is wrong everywhere no longer passes against its own reference.
AssertSampledForm counts the cases that need the allowance (32 of 256 af_snoise, 3 of 256
af_fbm on C#'s own results) and the small families fail unless there is at least one.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
EveryMirrorFunctionMatchesCSharpMath draws centre, axis and radius from [-100, 100], far past the
0.15 or so below which the centred form wins, so an HLSL edit of the choice survived it.
AffineSnoiseMirrorMatchesCSharpBitForBitOnBothSidesOfItsBranch draws 20000 slices (axis and
radius log-uniform 1e-3 to 0.5), asserts both branches are met more than 2000 times each, and
compares af_snoise (and af_fbm every eighth) bit for bit.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
dxc marks compares fast, so `lo == lo ? lo : -inf` was deleted under default flags and an
overflowed form ranged to NaN on HLSL targets. The guard now tests (asuint(lo) & 0x7fffffff)
> 0x7f800000, in HLSL, the Unity copy, math.Affine.cs and the regenerated CultMath.glsl.
dxc 1.9.0.5402 -T ps_6_0 default flags: before, no fcmp/select/and in the af_range body;
after, and/icmp ugt/select to +-inf for both endpoints (also under -Gis).
AffineRangeMirrorMatchesCSharpBitForBitAtTheFloatExtremes pins the mirror at zero to the
float maximum, infinities and NaN components.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The affine gate's best-case detail ball decided no probe on the gate test's slices and one
of the deep well's 8074 oracle-empty cells (11 of 11096 in c-band); skipping it saves the
probes: (c) affine 3.57x -> 3.62x and 3.46x -> 3.54x, c-band 3.95x -> 3.96x and 3.54x -> 3.60x.
The interval gate keeps its detail ball. Saturating it there (measured, then reverted)
takes row (b), inside the fog, from a cull fraction of 0.663 to 0.585 and a cost ratio
of 1.16x to 0.98x, so the term is live; the finding's premise holds for the affine gate only.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Slice builds each phase's coverage argument and the detail argument (centre,
axis, radius in noise space); AffineBound and its gate read them whole.
AffineWarpStaysEnclosed checks the rays against those arguments and their
derivation from CentredWarp; AffineCompositionIsTighterThanItsRanges sees the
shared-eps composition and the intersection.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Soul s1 (cut-snoise-tie) measured 1.55 to 1.56 at magnitudes 64 and above;
0.77 holds only near the origin. Comment and design text only.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Two families appended after phacelle, cultmath_snoise(vec3) and
cultmath_snoise_grad(vec3) over TiePoint3 (seven of eight cases on lattice
diagonals, one of eight on (t, t, t)); the shared Random leaves every earlier
family's draws unchanged. Both carry the tolerance text "ulp-bounded, on the
simplex tie set" and share a glsl name with the random families, so a consumer
tells them apart by index or tolerance.
Regenerated on Yggdrasil (Linux, the fixture's platform) with
CULTMATH_WRITE_GLSL=1. CultMath.glsl: the two tie lines, the constant, one
comment sentence. Fixture: 41 cases of iv_snoise_ball(vec3) and iv_fbm_ball move
with L, everything else is byte-identical before the appended families. Full
suite on Yggdrasil: 290 of 290.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
MeasureLipschitz on e89fd687 (Yggdrasil): sampled 7.1933103, refined 7.2400064,
x 1.10 = 7.9640074, witness (229.92526, 73.37927, -66.14595). The old 9.181147
sat on the diagonal tie. C#, both Interval.hlsl copies, the pin test's witness
and design.md's provenance numbers move together; CultMath.glsl follows with the
regenerated fixture.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The cyclic non-strict step(x0.yzx, x0.xyz) made the four corners a non-simplex
where x0's components are equal: the origin and every (t, t, t) read a different
function (snoise(0) was -0.4358730, jumps up to 0.77). One strict compare, z
against x, gives simplexnoise1234's order. Off the tie set old and new return
the same bits.
NoiseGradTests.SnoiseIsContinuousOnTheSimplexDiagonal fails against the old
rule (0.054 within 1 ulp of (-53.6, -53.6, -53.6)). The origin golden is 0 and a
(1.25, 1.25, 1.25) diagonal row joins it. SNOISE_LIPSCHITZ and the GLSL follow
in the next commits, so the ratio pin and CommittedGlslEqualsLowering are red here.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
(c) is FogField.DeepWell (ruling wells-scale-order-of-magnitude), measured under
the centred-warp interval bound and the affine bound on the same seeds; the
shallow wells are the printed (c-band) row. The warp-enlarged ball and the
warp-carrying detail ball in FogField.Bound are gone. (c) asserts affine cheaper
than the centred interval at both warps, with the 0.5 cull floor under both
(ruling affine-wells-contract-cheaper-than-interval).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The GLSL is generated from the HLSL by one lowering, mirrored against C# by a
committed fixture evaluated on its own arguments (portable across OSes), with
the frustum ball checked by two-sided enclosure and Phacelle by a scaled
absolute bound. design.md conflict: keeps the branch's sqrt-precision text and
drops the 6e-4 sentence interval-ops r4 removed.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
GoldenFixtureMatchesCSharp draws arguments only under CULTMATH_WRITE_GLSL=1: the draw calls MathF.Pow,
whose bits differ by OS. Checking decodes each committed case's arguments and evaluates C# on them.
phacelle is compared across platforms within 2^-20 max(|v|, 1) per component; iv_exp keeps one ulp.
The iv_frustum_ball check gains the upper side r + d + 2^-19 (r + |c|_1) that NoiseBoundTests pins.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
iv_frustum_ball's sqrt is not correctly rounded on WebGL2, so its family is ulp-bounded and
its entry carries the enclosure rule the consumer applies in double; GoldenFixtureMatchesCSharp
applies it to C#'s results too. A phacelle family (normalization 0.5, platform exp, sin, cos)
is appended after iv_exp; every earlier family's cases are byte-identical.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
EveryPublicFunctionIsLowered compares (name, parameter types) after the lowering's own
step 3, so a dropped overload such as cultmath_pcg3d(vec2) fails. TwoFileHeaderContract
pins distinct guards, the MIT and MPL-2.0 provenance labels, and the MIT file's pointer
to CultMath.Phacelle.glsl. GlslLowering exposes step 3 as LowerTypeNames; output unchanged.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The footprint march's optical depth at the body start is measured against a
converged midpoint march (h = 0.5, every cell) and may be at most twice as
wrong as the fixed-step march; the end-of-ray assertion goes. BodyDepth owns
the body's optical depth and its pin compares depths, not transmittances.
(c) asserts probe overhead >= 0.90 and a hard cull floor of 0.5 (ruling
wells-overhead-plus-floor); the oracle ceiling, efficiency and cull fraction
are printed. WeightBoundEnclosesOneSignedNoise pins VoidField's weight bound.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
GlslLowering.SeparateFiles is the one name-keyed rule: CultMath.Phacelle.hlsl
lowers into shaders/CultMath.Phacelle.glsl (MPL-2.0, guard
CULTMATH_PHACELLE_GLSL) and its include line leaves CultMath.glsl, which is
now MIT and says so in its provenance line. ReadShaderSource takes an
include predicate (one resolver); the C# mirror still inlines everything.
GlslMirrorTests pins both files, checks tokens in each, takes the union of
definitions and asserts cultmath_phacelle( and CultPhasor live only in the
Phacelle file. The fixture appends cultmath_iv_frustum_ball (exact) and
cultmath_iv_exp ("ulp-bounded, platform exp", platform named); the
comparison is per family, the platform family within 1 ulp with the
maximum printed. THIRD-PARTY-NOTICES lists CultMath.Phacelle.glsl, not
CultMath.glsl, as MPL-2.0.
Regenerated on Yggdrasil (Ubuntu 24.04.5, .NET 10.0.12); 286/286 green,
iv_exp within 0 ulp.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
README conflict resolved by keeping r3's Intervals bullet, then the GLSL
bullet. design.md and HlslSourceCompatibilityTests.cs merged clean.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
MarchTile reports a body start where the gated bound over the rest of the
grid is a positive point and appends the rest unprobed; MarchLod takes one
closed-form Beer-Lambert step there. AnalyticBodyMatchesFineMarch pins it
against the ungated field and the fixed-step product, and pins that no
(a)-(d) tile reports a body. VoidField takes a focal length; LOD-far
(Rh 4000, S 50, f 467) joins the enclosure test, which now asserts it
sampled weights in (0, 1) and at 0. The void grid ends at Rc + 6/K. The
doc derives the one shipped void (198, 50) and records the [w(z1), 1]
deviation. (c) is held to 0.90 of its probe-free ceiling.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
