Upgrades the cyclic Euclidean Hessian from block-FD to closed-form, satisfying
the novelty-statement §3.2 "analytic Hessians, not finite difference" claim for
the Euclidean path.
- euclidean_hessian.hpp: `euclidean_hessian_analytic` — closed-form cyclic
Hessian from the law-of-cosines angle derivatives
∂α_i/∂s_i = ℓ_i²/4A, ∂α_i/∂s_j = ½cot α_i − ℓ_j²/4A (Σ_j = 0),
chained to (u, λ_e) and sign-mapped to the gradient outputs (−α vertex,
+α_opp edge). Reuses euclidean_cot_weights. Block-FD kept as cross-check.
- newton_solver.hpp: newton_euclidean cyclic path now uses the analytic Hessian.
- tests: CyclicHessian_Analytic_MatchesBlockFD_Tetrahedron — analytic == block-FD
(1e-6), == gradient FD (1e-5), symmetric (1e-9). Existing cyclic convergence
oracle still GREEN with the analytic Hessian routed in.
Tier-2 (Wente) finding: wente_torus02.obj is a QUAD mesh (1240 quads) and the
Java golden comes from cyclic (quad-net) uniformization; the C++ period-matrix
pipeline is triangle-based, so a faithful bit-vs-Java τ comparison needs a
quad/cyclic pipeline (Phase 9f). Deferred and documented; golden τ = ½+i√3/2.
244/244 cgal tests pass.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Build-verified attempt to port the Java EuclideanCyclicConvergenceTest
(cathead, "circular hole edge" φ = π−0.1).
- ✅ GREEN `CyclicCircularEdge_PhiEntersGradient_CatHead`: solver-free
cross-validation that the circular-edge φ target enters the cyclic edge
gradient exactly (ΔG_e = −Δφ_e at 1e-12; no other component moves).
- ⏸️ DISABLED `CyclicCircularEdge_CatHead_JavaXVal`: the full Java convergence
assertion (α_opp+α_opp = π−0.1), kept with golden semantics. Auto-activates
once the edge-DOF Hessian lands.
Build-verification finding: `newton_euclidean` -> `euclidean_hessian` throws
"edge DOFs are not supported" — the cyclic full solve is blocked by a missing
edge-DOF Euclidean Hessian (gradient supports edge DOFs, analytic Hessian does
not). Spherical convergence (Tier-1 #2) is already covered by test_newton_solver.
Documented in doc/reviewer/java-ignore-crossvalidation.md.
All 13 EuclideanFunctional tests pass (1 disabled).
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Classifies the 22 Java @Ignore'd test files by root cause (ARM64 PETSc
native lib vs logic/known-issue) and by cross-validation value for the
C++ port.
- Notes what PR #27 already locks (math cores + functional-eval oracles)
to avoid duplication.
- Priority ranking: HIGH (HyperIdeal Lawson convergence golden vector —
records the exact u*), MEDIUM (genus-1 Wente uniformization, branch-point
variant), LATER (genus-2/hyperelliptic/Mobius/quasi-isothermic/Schottky),
NON-ORACLE (Java gaps: testHessian, testDoLayout; ARM64-flaky known issues).
- Documents why the Lawson mesh needs a low-level half-edge generator
(4 vertices / 12 edges => multi-edges; CGAL add_face cannot build it).
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
