e28aee7051
Ziel: einem interessierten Mathematiker ermöglichen, die bisherige Arbeit
unabhängig zu validieren und eigene Forschung beizutragen.
Neu:
doc/math/discrete-conformal-theory.md
Kompakte mathematische Einführung (DCE, Variationsprinzip, drei
Geometriemodi, Holonomie, Periodenmatrix) für Riemann-Flächen-Kenner.
doc/math/validation.md
Analytisch bekannte Sollwerte + wie man sie mit dem Code prüft:
Gauss–Bonnet (χ), τ ∈ Fundamentaldomäne (3 Invarianten), Symmetrie-
Argumente für τ=i (4-fach) und τ=e^{iπ/3} (6-fach), Newton-Konvergenz,
Gradienten-Check (FD), Holonomie-Kommutator. Reviewer-Checkliste.
CONTRIBUTING.md (Root)
Gitea/GitHub-Standard: CONTRIBUTING.md im Root-Verzeichnis als
Kurzreferenz mit Links zu doc/contributing.md und den Math-Docs.
code/data/off/torus_4x4.off — 16 Vertices, 32 Flächen, Genus 1
code/data/off/torus_8x8.off — 64 Vertices, 128 Flächen, Genus 1
code/data/off/torus_hex_6x6.off — 36 Vertices, 72 Flächen, 6-fach Sym.
Aktualisiert:
README.md — 158 → 170 Tests, zwei neue Math-Links in Tabelle
doc/api/tests.md — 28 Suiten, 170 Tests, 1 Skip (korrigiert)
doc/contributing.md — Testzähler 158+2 → 170+1
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
82 lines
4.8 KiB
Markdown
82 lines
4.8 KiB
Markdown
# Test Suites
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## `conformallab_tests` — always built (no CGAL)
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Pure-math tests, only Eigen required. Covers Java utilities ported in Phase 1–2.
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| File | What it tests |
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|---|---|
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| `test_clausen.cpp` | Clausen Cl₂, Lobachevsky Л, ImLi₂ — values at known points |
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| `test_hyper_ideal_utility.cpp` | Tetrahedron volumes (Meyerhoff / Kolpakov–Mednykh) |
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| `test_matrix_utility.cpp` | Matrix helpers |
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| `test_surface_curve_utility.cpp` | Surface curve utilities |
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| `test_discrete_elliptic_utility.cpp` | Discrete elliptic functions |
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| `test_p2_utility.cpp` | P2 projective utilities |
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| `test_hyper_ideal_visualization_utility.cpp` | Poincaré disk projection, circumcircle |
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**Total: 36 tests, 0 skipped.**
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---
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## `conformallab_cgal_tests` — built with `-DWITH_CGAL_TESTS=ON` or `-DWITH_CGAL=ON`
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All tests have CTest prefix `cgal.` (set via `TEST_PREFIX "cgal."` in CMakeLists).
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| Suite | File | Tests | What is verified |
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|---|---|---:|---|
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| `ConformalMeshTopology` | `test_conformal_mesh.cpp` | 4 | Euler characteristic, vertex/edge/face counts |
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| `ConformalMeshTraversal` | `test_conformal_mesh.cpp` | 4 | Halfedge iteration, valence, opposite |
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| `ConformalMeshProperties` | `test_conformal_mesh.cpp` | 5 | Property maps (λ, θ, idx, α, geometry type) |
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| `ConformalMeshValidity` | `test_conformal_mesh.cpp` | 1 | CGAL validity for all factory meshes |
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| `HyperIdealFunctional` | `test_hyper_ideal_functional.cpp` | 7 | FD gradient checks + Hessian symmetry |
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| `SphericalFunctional` | `test_spherical_functional.cpp` | 12 | Angle formula + gradient + gauge-fix |
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| `EuclideanFunctional` | `test_euclidean_functional.cpp` | 11 | Angle formula + gradient |
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| `EuclideanHessian` | `test_euclidean_hessian.cpp` | 9 | Cotangent Laplacian structure, FD agreement, PSD, null space |
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| `SphericalHessian` | `test_spherical_hessian.cpp` | 8 | Derivative correctness, NSD at equilibrium |
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| `NewtonSolver` | `test_newton_solver.cpp` | 11 | Convergence: Euclidean ×3, Spherical ×4, HyperIdeal ×4 |
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| `SparseQRFallback` | `test_newton_solver.cpp` | 3 | Full-rank LDLT · singular matrix → QR · closed mesh gauge mode |
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| `MeshIO` | `test_mesh_io.cpp` | 9 | OFF/OBJ round-trips, error handling |
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| `Pipeline` | `test_pipeline.cpp` | 5 | End-to-end: build → setup → solve → export → reload |
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| `Layout` | `test_layout.cpp` | 8 | Edge-length preservation (Eucl./Spher.), Poincaré disk layout |
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| `Serialization` | `test_layout.cpp` | 2 | JSON and XML round-trips (DOF vector + layout UVs) |
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| `GaussBonnet` | `test_phase6.cpp` | 8 | χ, genus, sum/RHS, deficit, check, enforce |
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| `CutGraph` | `test_phase6.cpp` | 6 | Tree-cotree, open/closed meshes, flag–index consistency |
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| `HyperbolicTrilateration` | `test_phase6.cpp` | 4 | Möbius + law of cosines: exact distances, disk interior, off-origin |
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| `Normalisation` | `test_phase6.cpp` | 4 | Euclidean centroid, length ratios, Möbius centring |
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| `MobiusMap` | `test_phase7.cpp` | 8 | Identity, inverse, compose, `from_three`, `apply(Vector2d)` |
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| `BestRootFace` | `test_phase7.cpp` | 2 | Valid root face selection, interior bonus |
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| `HalfedgeUV` | `test_phase7.cpp` | 4 | Size = #halfedges, seam consistency, boundary halfedges = 0 |
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| `PriorityBFS` | `test_phase7.cpp` | 3 | Success, no seam on open meshes, all vertices placed |
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| `NormaliseEuclidean` | `test_phase7.cpp` | 2 | UV centroid = 0, halfedge_uv centroid = 0 |
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| `PeriodMatrix` | `test_phase7.cpp` | 7 | τ ∈ ℍ, SL(2,ℤ) reduction, exception outside ℍ |
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| `FundamentalDomain` | `test_phase7.cpp` | 7 | Genus-1 parallelogram CCW, generators, g > 1 empty |
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| `TilingCopy/Neighbourhood` | `test_phase7.cpp` | 4 | Translation correct, tile count |
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| `CuttingUtility` | `test_geometry_utils.cpp` | 3 | point_in_triangle_2d: false, true, unit triangle (Java CuttinUtilityTest) |
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| `UnwrapUtility` | `test_geometry_utils.cpp` | 2 | corner angle: collinear → π, equilateral → π/3 (Java UnwrapUtilityTest) |
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| `ConvergenceUtility` | `test_geometry_utils.cpp` | 6 | circumradius + scale-invariant R_f/√A (Java ConvergenceUtilityTests) |
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| `HomologyGenerators` | `test_geometry_utils.cpp` | 1 | GTEST_SKIP stub — genus-2 mesh missing (Java HomologyTest Test 7, Phase 9c) |
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**Total: 170 tests, 1 intentional skip.**
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The skip is `HomologyGenerators.Genus2_FourGeneratorPaths_BLOCKED` — blocked until
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a genus-2 mesh is available (Phase 9c). It corresponds to a Java `@Ignore`-annotated
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test in the original library.
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---
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## Running tests
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```bash
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# All CGAL tests
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ctest --test-dir build -R "^cgal\." --output-on-failure
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# One suite
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./build/conformallab_cgal_tests --gtest_filter="PeriodMatrix*"
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# One specific test
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./build/conformallab_cgal_tests --gtest_filter="PeriodMatrix.TauInUpperHalfPlane"
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# Verbose output with timing
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./build/conformallab_cgal_tests --gtest_filter="NewtonSolver*" --gtest_print_time=1
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```
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