Tarik Moussa
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a4c2a89e7e
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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>
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2026-05-12 00:01:24 +02:00 |
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