refactor(api): consistent naming for spherical + hyper-ideal helpers (A1–A3)
Standardize the low-level free-function API on <verb>_<geom>_<rest>, matching the already-consistent setup_<geom>_maps. Old names kept as [[deprecated]] inline aliases for one release; all internal call sites migrated. Renames: assign_vertex_dof_indices -> assign_spherical_vertex_dof_indices assign_all_spherical_dof_indices -> assign_spherical_all_dof_indices assign_all_dof_indices -> assign_hyper_ideal_all_dof_indices compute_lambda0_from_mesh -> compute_spherical_lambda0_from_mesh gradient_check -> gradient_check_hyper_ideal A4/A5 (public CGAL API) intentionally deferred pending the license/ provenance decision (see CGAL submission audit G0/G1). Verified: 277/277 CGAL tests pass, no deprecation warnings. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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@@ -493,8 +493,8 @@ TEST(SphericalLayout, SphericalTetrahedron_NewtonConverges_AngleSumsTwoPi)
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ConformalMesh mesh = make_spherical_tetrahedron();
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auto maps = setup_spherical_maps(mesh);
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compute_lambda0_from_mesh(mesh, maps); // SphericalMaps version
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int n = assign_vertex_dof_indices(mesh, maps); // pins gauge_vertex, assigns DOFs
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compute_spherical_lambda0_from_mesh(mesh, maps); // SphericalMaps version
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int n = assign_spherical_vertex_dof_indices(mesh, maps); // pins gauge_vertex, assigns DOFs
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// Note: enforce_gauss_bonnet not needed — natural theta from mesh satisfies Σ(2π-Θ)>0.
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std::vector<double> x0(static_cast<std::size_t>(n), 0.0);
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