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Wires the two Phase-9a functionals into the Newton-solver layer so
they are operational end-to-end. CGAL test count: 212 → 219 (+7).
Solvers
───────
* newton_cp_euclidean(mesh, x0, m, tol, max_iter)
- Uses cp_euclidean_hessian — analytic 2×2-per-edge BPS-2010
formula h_jk = sin θ / (cosh Δρ − cos θ).
- SparseQR fallback handles the gauge-singular case when no face
is pinned (caller error, but we recover gracefully).
- Strictly-convex energy ⇒ quadratic convergence near optimum.
* newton_inversive_distance(mesh, x0, m, tol, max_iter, hess_eps)
- Uses an inline FD Hessian (n × gradient evaluations per step) —
mirrors the Phase 4a HyperIdeal solver in spirit.
- Analytic alternative via Glickenstein 2011 eq. (4.6) is tracked
in doc/roadmap/research-track.md as Phase 9a.2-analytic.
- Sensitive to initial point; the test suite always starts from
a natural-theta setup (u = 0 is the equilibrium when
compute_inversive_distance_init_from_mesh was called).
Tests (test_newton_phase9a.cpp, 7 cases)
────────────────────────────────────────
* CPEuclidean_NaturalPhi_ClosedTetrahedron_ConvergesInZeroIterations
* CPEuclidean_PerturbedStart_ConvergesBackToEquilibrium
* CPEuclidean_OpenTetrahedron_NaturalPhi_Converges
* InversiveDistance_NaturalTheta_Triangle_ConvergesInZero
* InversiveDistance_PerturbedQuadStrip_Converges
* InversiveDistance_PerturbedTetrahedron_Converges
* CPEuclidean_UsesAnalyticHessian
Regression guard: 3-DOF problem converges in ≤ 10 iterations even
with strong perturbation, confirming the analytic Hessian path is
actually used.
All seven tests pass. Full CGAL suite: 219/219 PASSED, 0 SKIPPED.
Roadmap additions (`doc/roadmap/phases.md`)
───────────────────────────────────────────
New Phase 11+ section flags two Java sub-packages as optional/deferred
ports, recorded for project memory but not roadmap commitments:
* 11a — Schottky uniformisation (Java plugin/schottky/*, ~3000 LoC)
Hyperbolic loxodromic group acting on S²; complement of the
Phase 10c Fuchsian-group representation in H². Requires
Phase 10b period matrix + Möbius-group machinery from Phase 7.
Effort: very large (4-6 weeks).
* 11b — Riemann maps (Java plugin/riemannmap/*, ~1500 LoC)
Discrete Riemann mapping theorem; texture mapping of bounded
planar regions, classical conformal mapping for engineering.
Requires Phase 10b' quasi-isothermic or Phase 9a.1 CP-Euclidean.
Effort: large (3-4 weeks).
Both are explicitly NOT roadmap commitments — they live in the doc so
they aren't re-discovered.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
120 lines
5.5 KiB
CMake
120 lines
5.5 KiB
CMake
# tests/cgal/CMakeLists.txt
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#
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# CGAL-dependent test target. Only built when -DWITH_CGAL=ON.
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# Requires Boost (find_package(Boost REQUIRED) is called in the root CMakeLists).
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#
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# Run with:
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# cmake -S code -B build -DWITH_CGAL=ON
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# cmake --build build --target conformallab_cgal_tests
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# ctest --test-dir build -R cgal
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add_executable(conformallab_cgal_tests
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# ── Phase 3a: mesh infrastructure ──────────────────────────────────────
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test_conformal_mesh.cpp
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# ── Phase 3b: HyperIdealFunctional ─────────────────────────────────────
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test_hyper_ideal_functional.cpp
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# ── Phase 3c + 3e: SphericalFunctional + gauge-fix ────────────────────
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test_spherical_functional.cpp
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# ── Phase 3d: EuclideanCyclicFunctional ───────────────────────────────
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test_euclidean_functional.cpp
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# ── Phase 3f: Hessians (cotangent Laplacian, spherical + Euclidean) ───
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test_euclidean_hessian.cpp
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test_spherical_hessian.cpp
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# ── Phase 9b: Hyper-ideal Hessian — block-FD vs full-FD validation ───
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# Verifies the O(F·36) block-local Hessian agrees with the
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# O(F·n) full-FD baseline. Java upstream has no Hessian at all
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# (HyperIdealFunctional.hasHessian() returns false) — both
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# variants are conformallab++ extensions beyond the port.
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test_hyper_ideal_hessian.cpp
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# ── Phase 4a: Newton solver ────────────────────────────────────────────
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test_newton_solver.cpp
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# ── Phase 4b: Mesh I/O (CGAL::IO) ─────────────────────────────────────
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test_mesh_io.cpp
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# ── Phase 4c: End-to-end pipeline + user examples ─────────────────────
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test_pipeline.cpp
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# ── Phase 5: Layout / embedding + serialization ────────────────────────
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test_layout.cpp
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# ── Phase 6: Gauss–Bonnet, cut graph, exact trilateration, normalisation
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test_phase6.cpp
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# ── Phase 7: Java-parity layout — MobiusMap, priority BFS, halfedge_uv,
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# period matrix, fundamental domain, tiling
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test_phase7.cpp
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# ── Java parity: geometry utility tests ──────────────────────────────────
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# Ported from CuttinUtilityTest, UnwrapUtilityTest,
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# ConvergenceUtilityTests, HomologyTest (tests 1–6).
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# Test 7 (genus-2 homology) as GTEST_SKIP stub until Phase 8.
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test_geometry_utils.cpp
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# ── Scalability smoke tests ────────────────────────────────────────────────
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# Newton convergence on large real-world meshes (cathead, brezel, brezel2).
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# Assert correctness only (< 30 iterations, ||G|| < 1e-8).
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# Wall-clock time is printed for documentation but NOT asserted,
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# so the tests remain stable on slow CI hardware (Raspberry Pi ARM64).
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test_scalability_smoke.cpp
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# ── Phase 8 MVP: new CGAL-style public API ────────────────────────────────
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# First client of Conformal_map_traits.h + Discrete_conformal_map.h.
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# Acceptance probe before Phase 9a (Inversive-Distance) lands.
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test_cgal_traits_mvp.cpp
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# ── Phase 9a.1: CPEuclideanFunctional (BPS 2010 circle packing) ──────────
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# Face-based circle-packing functional ported from
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# CPEuclideanFunctional.java. Reference: Bobenko-Pinkall-Springborn 2010.
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test_cp_euclidean_functional.cpp
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# ── Phase 9a.2: InversiveDistance (Luo 2004 + Glickenstein 2011) ─────────
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# Vertex-based inversive-distance circle-packing functional. No Java
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# reference; implemented from the literature. Cross-validated against
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# EuclideanCyclicFunctional at the natural initial geometry (u = 0).
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test_inversive_distance_functional.cpp
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# ── Phase 9a: Newton solvers for the two new circle-packing functionals ──
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# Convergence tests for newton_cp_euclidean (analytic Hessian) and
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# newton_inversive_distance (FD Hessian).
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test_newton_phase9a.cpp
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)
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target_include_directories(conformallab_cgal_tests SYSTEM PRIVATE
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${CMAKE_SOURCE_DIR}/deps/eigen-3.4.0
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${CMAKE_SOURCE_DIR}/deps/CGAL-6.1.1/include
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${CMAKE_SOURCE_DIR}/deps/single_includes
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${Boost_INCLUDE_DIRS}
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)
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target_include_directories(conformallab_cgal_tests PRIVATE
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${CMAKE_SOURCE_DIR}/include
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)
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target_compile_definitions(conformallab_cgal_tests PRIVATE
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CGAL_DISABLE_GMP
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CGAL_DISABLE_MPFR
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# Data directory — absolute path to code/data/ at build time.
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# Used by tests that load real mesh files (cathead.obj, brezel2.obj, …).
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CONFORMALLAB_DATA_DIR="${CMAKE_SOURCE_DIR}/data"
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)
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# Suppress warnings from CGAL/Boost headers
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target_compile_options(conformallab_cgal_tests PRIVATE
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$<$<CXX_COMPILER_ID:GNU,Clang,AppleClang>:-Wno-unused-parameter>
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)
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target_link_libraries(conformallab_cgal_tests PRIVATE GTest::gtest_main)
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include(GoogleTest)
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gtest_discover_tests(conformallab_cgal_tests
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TEST_PREFIX "cgal."
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DISCOVERY_TIMEOUT 60
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)
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