ConformalLabpp/doc/api/tests.md

Test Suites

conformallab_tests — always built (no CGAL)

Pure-math tests, only Eigen required. Covers Java utilities ported in Phase 1–2.

File	What it tests
test_clausen.cpp	Clausen Cl₂, Lobachevsky Л, ImLi₂ — values at known points
test_hyper_ideal_utility.cpp	Tetrahedron volumes (Meyerhoff / Kolpakov–Mednykh) + Java golden-value oracle (Clausen/Л/ImLi₂, ζ₁₃/₁₄/₁₅/ζ, both volume formulas)
test_matrix_utility.cpp	Matrix helpers
test_surface_curve_utility.cpp	Surface curve utilities
test_discrete_elliptic_utility.cpp	Discrete elliptic functions
test_p2_utility.cpp	P2 projective utilities
test_hyper_ideal_visualization_utility.cpp	Poincaré disk projection, circumcircle

Total: 26 tests, 0 skipped.

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conformallab_cgal_tests — built with -DWITH_CGAL_TESTS=ON or -DWITH_CGAL=ON

All tests have CTest prefix cgal. (set via TEST_PREFIX "cgal." in CMakeLists).

Suite	File	Tests	What is verified
ConformalMeshTopology	test_conformal_mesh.cpp	4	Euler characteristic, vertex/edge/face counts
ConformalMeshTraversal	test_conformal_mesh.cpp	4	Halfedge iteration, valence, opposite
ConformalMeshProperties	test_conformal_mesh.cpp	5	Property maps (λ, θ, idx, α, geometry type)
ConformalMeshValidity	test_conformal_mesh.cpp	1	CGAL validity for all factory meshes
HyperIdealFunctional	test_hyper_ideal_functional.cpp	7	FD gradient checks + Hessian symmetry
SphericalFunctional	test_spherical_functional.cpp	13	Angle formula + gradient + gauge-fix + cross-module Hessian check + closed-form edge-DOF oracle
SphericalGoldenJava	test_spherical_functional.cpp	3	Java golden oracles: (1) law-of-cosines angles + β relations + Л energy term; (2) full-mesh tetrahedron — per-vertex gradient + ΔE; (3) full-mesh edge-DOF gradient (vertex + edge components, Finding 3) vs raw conformalEnergyAndGradient
EuclideanFunctional	test_euclidean_functional.cpp	12	Angle formula + gradient + cross-module Hessian check
EuclideanGoldenJava	test_euclidean_functional.cpp	2	Java golden oracles: (1) angle formula + 2·Л(α) energy term; (2) full-mesh tetrahedron — per-vertex gradient + ΔE vs real EuclideanCyclicFunctional
EuclideanHessian	test_euclidean_hessian.cpp	9	Cotangent Laplacian structure, FD agreement, PSD, null space
SphericalHessian	test_spherical_hessian.cpp	8	Derivative correctness, NSD at equilibrium
NewtonSolver	test_newton_solver.cpp	11	Convergence: Euclidean ×3, Spherical ×4, HyperIdeal ×4
SparseQRFallback	test_newton_solver.cpp	3	Full-rank LDLT · singular matrix → QR · closed mesh gauge mode
MeshIO	test_mesh_io.cpp	6	OFF/OBJ round-trips, error handling
Pipeline	test_pipeline.cpp	5	End-to-end: build → setup → solve → export → reload
Layout	test_layout.cpp	6	Edge-length preservation (Eucl./Spher.), Poincaré disk layout
Serialization	test_layout.cpp	2	JSON and XML round-trips (DOF vector + layout UVs)
GaussBonnet	test_phase6.cpp	12	χ, genus, sum/RHS, deficit, check, enforce
CutGraph	test_phase6.cpp	6	Tree-cotree, open/closed meshes, flag–index consistency
HyperbolicTrilateration	test_phase6.cpp	4	Möbius + law of cosines: exact distances, disk interior, off-origin
Normalisation	test_phase6.cpp	4	Euclidean centroid, length ratios, Möbius centring
MobiusMap	test_phase7.cpp	8	Identity, inverse, compose, from_three, apply(Vector2d)
BestRootFace	test_phase7.cpp	2	Valid root face selection, interior bonus
HalfedgeUV	test_phase7.cpp	4	Size = number of half-edges, seam consistency, boundary half-edges = 0
PriorityBFS	test_phase7.cpp	3	Success, no seam on open meshes, all vertices placed
NormaliseEuclidean	test_phase7.cpp	2	UV centroid = 0, halfedge_uv centroid = 0
PeriodMatrix	test_phase7.cpp	8	τ ∈ ℍ, SL(2,ℤ) reduction, exception outside ℍ, Java normalizeModulus golden oracle
FundamentalDomain	test_phase7.cpp	7	Genus-1 parallelogram CCW, generators, g > 1 empty
TilingCopy/Neighbourhood	test_phase7.cpp	4	Translation correct, tile count
HolonomyEndToEnd	test_phase7.cpp	3	Full pipeline τ on tori of revolution (4×4, hex 6×6, 8×8) vs analytic modulus i·√(R²−r²)/r
CuttingUtility	test_geometry_utils.cpp	3	point_in_triangle_2d: false, true, unit triangle (Java CuttingUtilityTest)
UnwrapUtility	test_geometry_utils.cpp	2	Corner angle: collinear → π, equilateral → π/3 (Java UnwrapUtilityTest)
ConvergenceUtility	test_geometry_utils.cpp	6	Circumradius + scale-invariant R_f/√A (Java ConvergenceUtilityTests)
EuclideanLayout	test_geometry_utils.cpp	2	Euclidean layout round-trip edge lengths
SphericalLayout	test_geometry_utils.cpp	1	Spherical layout on unit sphere
HomologyGenerators	test_geometry_utils.cpp	1	Genus-2 cut graph: χ = −2, 4 cut edges (brezel2.obj)
SmokeEuclidean	test_scalability_smoke.cpp	3	Smoke tests on real meshes: CatHead (open), Brezel genus-1, Brezel2 genus-2
CGALConformalTraits	test_cgal_traits_mvp.cpp	2	Phase 8a MVP traits + Default model
CGALDiscreteConformalMap	test_cgal_traits_mvp.cpp	6	Phase 8a MVP wrapper smoke tests
CPEuclideanFunctional	test_cp_euclidean_functional.cpp	10	Phase 9a.1 — BPS-2010 face-based packing (Java parity)
InversiveDistanceFunctional	test_inversive_distance_functional.cpp	11	Phase 9a.2 — Luo-2004 vertex-based packing (from literature)
HyperIdealHessian	test_hyper_ideal_hessian.cpp	7	Phase 9b — block-FD vs full-FD cross-validation + PSD + speed-up
NewtonPhase9a	test_newton_phase9a.cpp	7	Phase 9a-Newton — convergence for the two new circle-packing solvers
CGALPhase8bLite	test_cgal_phase8b_lite.cpp	17	Phase 8b-Lite — CGAL entries for all 5 DCE models + output_uv_map (Euclidean, Spherical, HyperIdeal, Inversive-Distance) + CP-Euclidean throws-clearly + pipe-operator chaining

Total: 246 tests, 0 skipped.

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Running tests

# All CGAL tests
ctest --test-dir build -R "^cgal\." --output-on-failure

# One suite
./build/conformallab_cgal_tests --gtest_filter="PeriodMatrix*"

# One specific test
./build/conformallab_cgal_tests --gtest_filter="PeriodMatrix.TauInUpperHalfPlane"

# Verbose output with timing
./build/conformallab_cgal_tests --gtest_filter="NewtonSolver*" --gtest_print_time=1