Add bit-for-bit (1e-12) golden-value oracle tests pinning the C++ pure-math
and functional cores against the compiled upstream Java library (openjdk 17):
- HyperIdealGoldenJava: Clausen/Л/ImLi2, ζ13/14/15/ζ, both tetrahedron-volume
formulas (real de.varylab…Clausen / HyperIdealUtility).
- EuclideanGoldenJava / SphericalGoldenJava: angle formulas + β relations + Л
energy terms, plus FULL-MESH oracles driving the real EuclideanCyclicFunctional
/ SphericalFunctional on a shared tetrahedron — per-vertex gradient (Θ−Σα) and
ΔE = E(x)−E(0) (C++ Gauss-Legendre path integral vs Java closed form).
- SphericalGoldenJava.FullMeshEdgeDofGradient: edge-DOF gradient (vertex + edge
components, α_opp⁺+α_opp⁻−θ_e) vs raw conformalEnergyAndGradient — locks
Finding 3 at the solution level (audit items 4 & 5).
- PeriodMatrix.NormalizeModulus_GoldenJava: τ-reduction fold convention vs the
real DiscreteEllipticUtility.normalizeModulus (audit items 7 & 8).
Subtlety documented: the spherical oracles call Java's raw
conformalEnergyAndGradient, not evaluate() (which pre-runs a Brent gauge
maximization that C++ factors into the Newton solver's spherical_gauge_shift).
Also:
- P1-2 (layout.hpp): Euclidean holonomy now uses a per-cut-edge rigid-motion fit
g(z)=a·z+b, exposing residual_rotation = |arg(a)| as a diagnostic; non-
regressive (flat case a=1 reduces to the old midpoint formula).
- P1-3 (period_matrix.hpp): is_in_fundamental_domain fixed to the correct
half-open SL(2,ℤ) domain (−½ ≤ Re < ½). Updated the now-exposed
ComputePeriodMatrix_ReducedTau_InFD to assert the normalizeModulus domain
(closed +½ edge) instead.
Test counts (single source of truth = doc/api/tests.md): 272/272 pass, 0
skipped (26 non-CGAL + 246 CGAL).
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>