Frostyverse — H-103 Exact Cubic-Symmetry Wedge Audit
=====================================================
version:              1.1.03-exact-cubic-symmetry-wedge-audit
patch:                exact-ux-16fold-wedge-vector-48fold-covariance-rhs-symmetry-no-fit-p0-1
generated:            2026-08-16T04:12:31
python:               3.13.5
platform:             Linux-6.18.35-x86_64-with-glibc2.41
mode:                 VALIDATION H-103
exact field:          inherited p=0 direct symmetric solution
frozen K:             8.6816265415871847e-05
GR/photon inference:  NONE
planetary holdout:    SEALED

    [direct field] h100-validation-inherited radius=9.0000 K=10 n=181 nodes=3839 core=0.043 GiB ...
    [direct field] done: equation residual=3.727e-20 time=0.26s
    [memory-lean direct field] h100-validation-memory-lean radius=9.0000 K=10 n=181 nodes=3839 core=0.043 GiB ...
    [memory-lean direct field] done: full-array residual recheck SKIPPED to save one R^3 buffer; time=0.18s
CONSTRUCTION — memory-lean field identity: max |delta|=0.000e+00 shape=True
CONSTRUCTION VERDICT: PASS

TEST 01 — H-103 contract: exact symmetry/compression audit only
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  exact field                                               = inherited p=0 direct symmetric solution
  resolutions                                               = (10, 11)
  GR/photon scoring                                         = NONE
  radial/q4/q6 approximation                                = NONE
  cubic group size                                          = 48
  optimization shadow feeds exact solve                     = NO
  p                                                          = 0 LOCKED
  planetary/Jupiter holdout                                 = SEALED
  TEST 01 VERDICT: PASS/FIREWALL

TEST 02 — perfect-sphere source discretization symmetry audit
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  R=10  occupied=5017     source cubic-generator rel=0.000000e+00
  R=11  occupied=6643     source cubic-generator rel=0.000000e+00
  worst inherited source symmetry residual                  = 0.000000e+00
  resolutions above roundoff-like target                    = NONE
  IMPORTANT                                                 = any residual here is numerical source discretization, not cell physics
  TEST 02 VERDICT: PASS/SOURCE-SYMMETRY-MEASURED

TEST 03 — exact field symmetry: u_x wedge + 48-fold vector covariance
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  R=10 building exact p=0 field ...
    [direct field] h103-symmetry-R10 radius=10.0000 K=10 n=201 nodes=5017 core=0.059 GiB ...
    [direct field] done: equation residual=3.049e-20 time=0.18s
    u_x wedge rel=1.347e-16 | vector 48-fold rel=1.347e-16 | segment length abs=1.110e-16 | tilt abs=1.974e-09 rad
    R=10 field RELEASED
  R=11 building exact p=0 field ...
    [direct field] h103-symmetry-R11 radius=11.0000 K=10 n=221 nodes=6643 core=0.078 GiB ...
    [direct field] done: equation residual=3.388e-20 time=0.43s
    u_x wedge rel=1.591e-16 | vector 48-fold rel=1.591e-16 | segment length abs=2.220e-16 | tilt abs=7.726e-10 rad
    R=11 field RELEASED
  worst u_x wedge reconstruction relative error             = 1.591249e-16
  worst 48-fold vector covariance relative error            = 1.591249e-16
  worst FrostSegment length difference                      = 2.220446e-16 nominal-cell units
  worst FrostSegment tilt difference                        = 1.973783e-09 rad
  TEST 03 VERDICT: PASS/ROUNDoff-LIKE-CUBIC-SYMMETRY

TEST 04 — solver-side symmetry: complete RHS + symmetry-projected source shadow
-------------------------------------------------------------------------------------------
  exhaustive RHS audit R                                   = 10
  complete RHS interior values                              = 7880599
  odd-x / even-y / even-z / y-z-swap max abs               = 0.000e+00 / 0.000e+00 / 0.000e+00 / 0.000e+00
  worst normalized RHS symmetry residual                    = 0.000000e+00
  diagnostic symmetry-projected source shadow               = NOT NEEDED IN THIS BAND
  TEST 04 VERDICT: PASS/SOLVER-SYMMETRY-INGREDIENTS-MEASURED

TEST 05 — exact storage accounting: octant and component-wedge opportunities
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  R=10  full=  0.059 GiB | octant= 0.007 GiB ( 7.88x) | u_x wedge= 0.004 GiB (15.61x)
  R=11  full=  0.078 GiB | octant= 0.010 GiB ( 7.89x) | u_x wedge= 0.005 GiB (15.64x)
  at highest R: hypothetical 100 GiB full field ->          12.67 GiB octant / 6.39 GiB tight wedge
  IMPORTANT                                                 = this is raw-data redundancy; wedge-only solving is the next engineering step
  TEST 05 VERDICT: PASS/REDUNDANCY-QUANTIFIED

TEST 06 — optimization decision
-------------------------------------------------------------------------------------------
  inherited source-asymmetric resolutions                   = NONE
  highest-R raw-data wedge reduction                        = 15.641x
  hypothetical 100 GiB -> tight wedge                       = 6.39 GiB
  recommended next optimization route                       = build an actual positive-octant mixed-boundary solver (~8x RAM), then y-z triangular wedge toward ~16x
  H-103 optimization status                                 = DIRECT EXACT-SYMMETRY OPTIMIZATION SUPPORTED
  TEST 06 VERDICT: PASS/INTERPRETED

VALIDATION VERDICT: PASS
