Commit Graph

3 Commits

Author SHA1 Message Date
Tarik Moussa
a4c2a89e7e feat(phase3c): port SphericalFunctional onto ConformalMesh; update README
New headers:
- spherical_geometry.hpp: spherical arc length l(λ) and half-angle formula
  for interior angles of a spherical triangle (SphericalFaceAngles struct)
- spherical_functional.hpp: SphericalMaps bundle, setup/assign DOF helpers,
  compute_lambda0_from_mesh(), gradient (Θ_v − Σα_v; Schläfli edge formula),
  energy via 10-point Gauss-Legendre path integral, gradient_check_spherical()

Updated:
- mesh_builder.hpp: add make_spherical_tetrahedron() (vertices on unit sphere)
  and make_octahedron_face() (single right-angled spherical triangle)
- tests/cgal/CMakeLists.txt: enable test_spherical_functional.cpp
- README.md: rewrite for CGAL-package goal, two test targets, all headers,
  updated project tree, Phase progress table, key design decisions

Tests (cgal.SphericalFunctional.*): 8 active + 1 skip
- OctaFaceAnglesAreRightAngles, SpherTetAngleSumExceedsPi
- GradientCheck_{OctaFaceVertex, SpherTetVertex, SpherTetAllDofs,
  SpherFan4Vertex, MixedPinnedVertices}
- AnglesFiniteAtKnownPoint
All 30 cgal.* tests pass (2 @Ignore skips).

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-05-12 00:01:24 +02:00
Tarik Moussa
516ac89bd8 feat(phase3b): port HyperIdealFunctional energy + gradient onto ConformalMesh
Implements the hyper-ideal discrete conformal map functional on
CGAL::Surface_mesh. The energy and analytic gradient are ported directly
from HyperIdealFunctional.java; correctness is verified via a
finite-difference gradient check (same eps=1E-5 / tol=1E-4 as Java).

New files:
  include/hyper_ideal_geometry.hpp    — ζ, ζ₁₃, ζ₁₄, ζ₁₅, lij, αij, σi, σij
  include/hyper_ideal_functional.hpp  — HyperIdealMaps, evaluate_hyper_ideal,
                                        gradient_check
  tests/cgal/test_hyper_ideal_functional.cpp  — 6 tests (1 skipped @Ignore)

Test results (local, -DWITH_CGAL=ON):
  conformallab_cgal_tests: 21 registered | 20 passed | 1 skipped | 0 failed
    - GradientCheck_AllHyperIdealTriangle   ✓
    - GradientCheck_ExtendedDomain          ✓
    - GradientCheck_TetrahedronAllVariable  ✓
    - EnergyFiniteAtTestPoint               ✓
    - GradientCheck_MixedIdealHyperIdeal    ✓
    - GradientCheck_Fan6AllVariable         ✓

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-05-11 23:10:23 +02:00
Tarik Moussa
bf9c323d60 feat(phase3a): introduce CGAL Surface_mesh as ConformalMesh foundation
Replaces the Java CoHDS with CGAL::Surface_mesh<Point3> (Simple_cartesian
kernel). Adds domain-specific property maps for lambda/theta/idx/alpha and
face geometry type — the direct C++ equivalent of CoVertex/CoEdge adapters.

New files:
  include/conformal_mesh.hpp   — ConformalMesh type + property-map helpers
  include/mesh_builder.hpp     — mesh factories (triangle, tetrahedron,
                                 quad-strip, fan) for tests and examples
  tests/cgal/                  — second test executable (conformallab_cgal_tests)
                                 built only with -DWITH_CGAL=ON

Test results (local, -DWITH_CGAL=ON):
  conformallab_tests:      36 registered | 23 passed | 13 skipped | 0 failed
  conformallab_cgal_tests: 14 registered | 14 passed |  0 skipped | 0 failed

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-05-11 18:36:21 +02:00