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Author SHA1 Message Date
Tarik Moussa
a1e74c1370 Phase 8a MVP: CGAL traits + Discrete_conformal_map.h Euclidean entry
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First step of the Phase 8 Hybrid MVP. Adds a thin CGAL-conformant public
API layer over the existing implementation, validated by 7 acceptance
tests.  Total CGAL test count: 183 (was 176), 0 skipped.

New public headers
──────────────────
* code/include/CGAL/Conformal_map_traits.h
    - ConformalMapTraits concept documentation
    - Default_conformal_map_traits<Surface_mesh<P>, K> specialisation
    - Static property-map accessors: vertex_points, theta_map,
      vertex_index_map, lambda0_map

* code/include/CGAL/Discrete_conformal_map.h
    - User-facing entry: discrete_conformal_map_euclidean(mesh, np)
    - Conformal_map_result<FT> struct (u, iter, ‖G‖, converged flags)
    - Natural-theta default: x = 0 is the equilibrium when no Θ supplied
    - Honours user-provided Θ via vertex_curvature_map named parameter

* code/include/CGAL/Conformal_map/internal/parameters.h
    - 4 named-parameter tags in CGAL::Conformal_map::internal_np:
        vertex_curvature_map, gradient_tolerance,
        max_iterations,       fixed_vertex_map
    - User-facing helpers in CGAL::parameters::*

Tests (test_cgal_traits_mvp.cpp, 7 cases)
─────────────────────────────────────────
* DefaultTraitsTypes:       compile-time type sanity (static_assert)
* AccessorsReuseExistingMaps: traits accessors return identical pmaps
* SingleTriangleConverges,
  QuadStripConverges:       end-to-end Euclidean wrapper passes
* MaxIterationsTakesEffect: named parameter is read
* GradientToleranceTakesEffect: tolerance override changes Newton end-state
* WrapperMatchesLegacyAPI:  cross-API result equality at 1e-10

Architecture
────────────
3-layer wrapper as designed (doc/api/cgal-package.md):
  Layer 1: code/include/*.hpp           (existing algorithms, unchanged)
  Layer 2: CGAL/Conformal_map/internal/ (adapter, parameter tags)
  Layer 3: CGAL/Conformal_map_traits.h, CGAL/Discrete_conformal_map.h
                                         (user-facing)

No algorithm duplication.  Existing 176 + 36 tests untouched.

Next: Phase 9a (Inversive-Distance) as the second client of this API —
the real acceptance test for the trait design.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-19 22:07:15 +02:00
Tarik Moussa
e958afbd19 chore: translate all German text to English across code, docs, and CI
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Unified the codebase language to English throughout. German text appeared
in code comments, test file headers, CI step names, and several markdown
documents. All natural-language text is now English; proper nouns
(Institut für Mathematik, Technische Universität Berlin) are unchanged.

Files changed:
- .gitea/workflows/cpp-tests.yml  — CI step names and job comments
- code/include/mesh_utils.hpp     — inline comment
- code/tests/cgal/CMakeLists.txt  — section comment block
- code/tests/cgal/test_geometry_utils.cpp — full file header + all test comments
- doc/math/references.md          — geometry-central section
- doc/math/validation.md          — Section 9 (geometry-central cross-validation)
- doc/roadmap/phases.md           — Optional geometry-central track (GC-1/2/3)

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-19 00:09:09 +02:00
Tarik Moussa
1442de9c8d Port GradientCheck_Hessian tests: replace GTEST_SKIP stubs with real cross-module checks 
Implements the two GTEST_SKIP stubs that tracked the missing analytic
Hessian gradient checks (Java @Ignore ports). Both are now replaced with
live cross-module consistency tests that verify euclidean_gradient() ↔
euclidean_hessian() and spherical_gradient() ↔ spherical_hessian() via
finite-difference comparison.

Result: 176 tests from 35 test suites — 176 PASSED, 0 SKIPPED.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-18 23:31:40 +02:00
Tarik Moussa
7edf699ac2 test/docs: Scalability Smoke Tests + Komplexitätsdokumentation
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test_scalability_smoke.cpp (3 neue Tests → 176 CGAL-Tests gesamt):
  SmokeEuclidean.CatHead_SmallOpen   — V=131,  Newton 3 iter, <1ms
  SmokeEuclidean.Brezel_LargeGenus2  — V=6910, Newton 3 iter, 69ms (Apple M)
  SmokeEuclidean.Brezel2_Genus2_CutGraph — V=2622, Cut Graph 10ms, 4 Nähte
  - Korrektheit-Assertions (iter<30, ||G||<1e-8), kein Timing-Assert (CI-stabil)
  - Informative Ausgabe: iter, Residuum, Laufzeit als stdout-Print
  - Korrektur: brezel.obj ist Genus-2 (χ=−2), nicht Genus-1 (Namensgebung
    aus Java-Original übernommen, nicht topologisch)
  - Perturbation x0=−0.05 damit Newton tatsächlich iteriert

doc/math/complexity.md (neu):
  - O()-Analyse aller Pipeline-Schritte tabellarisch
  - Gemessene Timings auf echten Meshes (Apple M, Release, Single-Thread)
  - HyperIdeal-FD-Hessian als bekannter Bottleneck dokumentiert
  - Skalierungsprojektion bis V=100K
  - Speicherverbrauch-Tabelle
  - Reproduzierbare Messanleitung

README.md + CLAUDE.md: Testzähler 173→176, complexity.md verlinkt

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-18 23:05:22 +02:00
Tarik Moussa
de3a35ad4f test: Java-Konvergenz- + Homologie-Tests portiert — 173 CGAL-Tests
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Mesh-Dateien aus Java-Referenzimplementierung übernommen:
  code/data/obj/cathead.obj    — offenes Mesh (Java: cathead.obj)
  code/data/obj/tetraflat.obj  — flaches Tetraeder (Java: tetraflat.obj)
  code/data/obj/brezel.obj     — Genus-1-Brezel (Java: brezel.obj)
  code/data/obj/brezel2.obj    — Genus-2-Brezel, V=2622 F=5248 χ=−2 (Java: brezel2.obj)
code/.gitignore: !data/**/*.obj — Mesh-Daten von *.obj-Regel ausgenommen.

Neue Tests in test_geometry_utils.cpp:

  HomologyGenerators.Genus2_FourCutEdges                    [vorher: GTEST_SKIP]
    Java: HomologyTest.testHomology — brezel2.obj, expects paths.size()==4
    C++:  compute_cut_graph(brezel2) → cut_edge_indices.size()==4, genus==2

  EuclideanLayout.DoLayout_TetraFlat_EdgeLengthsPreserved   [neu]
    Java: EuclideanLayoutTest.testDoLayout — tetraflat.obj, u=0, l3D==lUV (1e-11)
    C++:  euclidean_layout(tetraflat, x=0) → alle UV-Kantenlängen == 3D (1e-10)

  EuclideanLayout.CatHead_NewtonConverges_AngleSumsTwoPi    [neu]
    Java: EuclideanLayoutTest.testLayout02 + EuclideanCyclicConvergenceTest
    C++:  newton_euclidean(cathead) konvergiert, Gradientenreste < 1e-6

  SphericalLayout.SphericalTetrahedron_NewtonConverges_AngleSumsTwoPi [neu]
    Java: SphericalConvergenceTest.testSphericalConvergence
    C++:  newton_spherical(sph_tetrahedron) konvergiert, Winkeldefekte < 1e-6

CMakeLists.txt: CONFORMALLAB_DATA_DIR=${CMAKE_SOURCE_DIR}/data als Compile-Def.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-18 01:33:21 +02:00
Tarik Moussa
a4438c9a1a test: Java-Geometrie-Utility-Tests portiert (Tests 1–6) + Genus-2-TODO-Stub
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Portiert aus CuttinUtilityTest, UnwrapUtilityTest, ConvergenceUtilityTests
und HomologyTest (Java-Quelldatei unifgeo/test). Jetzt 170 CGAL-Tests.

Neue Suiten in test_geometry_utils.cpp:
  CuttingUtility       — point_in_triangle_2d (3 Tests, Java-Test 1–2)
  UnwrapUtility        — Eckwinkel law-of-cosines (2 Tests, Java-Test 3)
  ConvergenceUtility   — circumradius + scale-invariant R_f/sqrt(A) (6 Tests, Java-Test 4–6)
  HomologyGenerators   — GTEST_SKIP-Stub für Genus-2 (Java-Test 7, Phase 8)

Der Stub dokumentiert genau was fehlt (Genus-2-Mesh), welcher Code nötig ist
(compute_cut_graph → 4 cut edges) und die Java-Herkunft.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-14 11:09:27 +02:00
Tarik Moussa
e7dfaed56c feat(phase7): Java-parity layout — priority BFS, halfedge_uv, Möbius holonomy, period matrix, fundamental domain — 158 tests 
Phase 7 adds seven features ported from the original Java ConformalLab:

  layout.hpp
  - Priority BFS (min-heap on BFS depth) replaces FIFO queue, minimising
    trilateration error accumulation from the root face outward.
  - MobiusMap struct: T(z)=(az+b)/(cz+d), identity/inverse/compose,
    from_three (3×3 complex least-squares fit), apply(Vector2d).
  - halfedge_uv[h.idx()] = UV of source(h) in face(h); seam halfedges
    carry the virtual unfolded position, enabling proper GPU texture atlases.
  - Hyperbolic holonomy stored as MobiusMap per cut edge (SU(1,1) isometry).
  - best_root_face: largest 3-D area face, 1.5× interior bonus.
  - normalise_euclidean also transforms halfedge_uv (centroid + PCA).
  - Face-area-weighted iterative Möbius centering (Fréchet mean, Phase 7).

  period_matrix.hpp  (new)
  - PeriodData: lattice generators ω_i as complex numbers, τ = ω₂/ω₁ ∈ ℍ.
  - reduce_to_fundamental_domain: SL(2,ℤ) reduction via alternating S/T steps.
  - is_in_fundamental_domain, compute_period_matrix.
  - NOTE: Siegel matrix Ω for genus g>1 intentionally deferred.

  fundamental_domain.hpp  (new)
  - FundamentalDomain: CCW parallelogram {0, ω₁, ω₁+ω₂, ω₂} for genus 1.
  - edge_identifications, generators stored.
  - 4g-polygon boundary-walk for g>1 marked TODO(Phase 8) with full algorithm
    outline and literature references.
  - tiling_copy / tiling_neighbourhood for universal cover visualisation.

  Tests: 121 → 158 (+37 Phase 7 tests covering all new features).

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-13 07:57:13 +02:00
Tarik Moussa
4fc48b39f0 feat(phase6): exact hyperbolic layout, Gauss–Bonnet, cut graph, normalisation — 121 tests 
New files:
- gauss_bonnet.hpp: euler_characteristic, genus, Σ(2π-Θ_v) sum/rhs/deficit,
  check_gauss_bonnet (throws), enforce_gauss_bonnet (correct sign: Δ=(lhs-rhs)/V)
- cut_graph.hpp: CutGraph struct + compute_cut_graph (tree-cotree, Erickson–Whittlesey
  2005); boundary edges correctly excluded from cut set
- test_phase6.cpp: 26 new tests (GaussBonnet ×8, CutGraph ×6, HyperbolicTrilateration
  ×4, Normalisation ×4 — all pass)

layout.hpp (Phase 6 rewrite):
- detail::trilaterate_hyp: exact Möbius + hyperbolic law of cosines replacing old tanh(d/2)
- detail::center_poincare_disk: Möbius centering for hyperbolic normalisation
- normalise_euclidean: centroid → origin + PCA major-axis rotation
- normalise_hyperbolic: Möbius centering in the Poincaré disk
- normalise_spherical: Rodrigues rotation → north pole
- euclidean_layout / hyper_ideal_layout: optional CutGraph* + HolonomyData* + normalise

Bug fixes caught by new tests:
- gauss_bonnet.hpp: enforce_gauss_bonnet had wrong sign for delta
- cut_graph.hpp: boundary edges were incorrectly marked as cut edges

121 tests pass, 2 skipped (Hessian stubs).

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-13 01:15:41 +02:00
Tarik Moussa
b7593e3f6d feat(phase5): Layout, CLI, JSON/XML serialisation — 95 tests 
Phase 5 complete:

layout.hpp
  - euclidean_layout(): BFS unfolding in ℝ² using trilaterate_2d
  - spherical_layout(): BFS on S² using trilaterate_sph (spherical law of cosines)
  - hyper_ideal_layout(): BFS in Poincaré disk (tanh(d/2) Euclidean approx)
  - save_layout_off(): convenience OFF writer for 2-D and 3-D layouts

serialization.hpp
  - save/load_result_json(): nlohmann/json; stores DOF vector + uv/pos layout
  - save/load_result_xml(): hand-written writer/parser; same schema

conformallab_cli.cpp (rewritten)
  - CLI11 interface: -i/-o/-g/-j/-x/-s/-v
  - Dispatches to euclidean / spherical / hyper_ideal pipeline
  - Runs Newton, computes layout, saves OFF + JSON + XML

examples/example_layout.cpp
  - Full round-trip demo: solve → layout → JSON/XML → reload → verify

tests/cgal/test_layout.cpp (8 tests)
  - Euclidean_PreservesEdgeLengths, CorrectVertexCount, TriangleIsNonDegenerate
  - Spherical_PreservesArcLengths, PositionsOnUnitSphere
  - HyperIdeal_SuccessAndFinitePositions
  - Serialization.JSON_RoundTrip, XML_RoundTrip

All 95 CGAL tests pass (2 skipped — Hessian stubs unchanged).

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-13 00:53:47 +02:00
Tarik Moussa
3f124eb071 feat(phase4): HyperIdeal Newton solver, SparseQR fallback, examples, docs 
Phase 4 complete — 87 CGAL tests pass, 2 skipped.

Newton solver (phase4a):
- hyper_ideal_hessian.hpp: symmetric FD Hessian (O(ε²), PSD by convexity)
- newton_hyper_ideal(): Newton + backtracking for the HyperIdeal functional
- detail::solve_with_fallback(): optional bool* fallback_used parameter
- solve_linear_system(): public API exposing LDLT→SparseQR fallback

SparseQR fallback tests (SparseQRFallback.*):
- FullRankSystem_CorrectSolution: LDLT path, fallback_used=false
- SingularMatrix_FallbackActivated: zero-pivot → QR activated, fallback_used=true
- Euclidean_ClosedMeshNoPinConverges: gauge-mode null space handled via QR

HyperIdeal Newton tests (NewtonSolver.HyperIdeal_*):
- ConvergesTriangleAllVariable, ResultFieldsConsistent,
  ConvergesTetrahedron, SparseQRFallbackNoCrash
- Natural-target base point (b=1.0, a=0.5) — x=0 is degenerate in log-space

Pipeline tests (test_pipeline.cpp):
- End-to-end: all three geometries, mesh I/O round-trip, solve+export

Example programs (code/examples/):
- example_euclidean.cpp:   headless Euclidean pipeline
- example_hyper_ideal.cpp: headless HyperIdeal pipeline
- example_viewer.cpp:      interactive libigl viewer with jet colour map

README:
- Mathematical scope table: C++ vs Java original (18 rows)
- "For mathematicians" section: mental model, step-by-step new-functional
  guide, half-edge traversal snippets, recommended reading

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-13 00:11:25 +02:00
Tarik Moussa
e70689d29f feat(phase4a+4b): Newton solver + CGAL mesh I/O 
Phase 4a — newton_solver.hpp:
  - newton_euclidean(): SimplicialLDLT on H (PSD); solves H·Δx = −G
  - newton_spherical(): SimplicialLDLT on −H (NSD→PSD); solves (−H)·Δx = G
  - Backtracking line search (halving α up to 20×) for global convergence
  - NewtonResult struct: x, iterations, grad_inf_norm, converged
  - 7 tests: 4 spherical (convergence, few iters, large perturbation,
    field consistency) + 3 Euclidean (triangle pinned, quad pinned,
    mixed pinned — all with natural-theta equilibrium at x=0)

Phase 4b — mesh_io.hpp:
  - read_mesh() / write_mesh(): CGAL::IO::read/write_polygon_mesh wrappers
  - load_mesh() / save_mesh(): throwing convenience versions
  - Supports OFF, OBJ, PLY (format detected by file extension)
  - 6 tests: OFF round-trip (tet + quad), OBJ round-trip, missing-file throw,
    vertex-position preservation, save/load convenience wrappers

All 75 cgal tests pass (3 skipped as before).

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>
 2026-05-12 17:35:00 +02:00
Tarik Moussa
194effba97 feat(phase3f+3g): analytical Hessians + PI consolidation 
Phase 3g — constants.hpp:
  - Introduce conformallab::PI and TWO_PI in a single constants.hpp
  - Remove scattered local PI/pi definitions from hyper_ideal_geometry.hpp,
    hyper_ideal_utility.hpp, euclidean_functional.hpp, mesh_builder.hpp,
    spherical_geometry.hpp (backward-compatible PI_SPHER alias kept)

Phase 3f — Euclidean Hessian (euclidean_hessian.hpp):
  - Cotangent-Laplace operator (Pinkall–Polthier 1993)
  - euclidean_cot_weights() helper + euclidean_hessian() + hessian_check_euclidean()
  - Correct Pinkall–Polthier 1/2 normalization factor
  - 8 tests: cot weights, symmetry, null-space (H·1=0), PSD, FD × 4 meshes

Phase 3f — Spherical Hessian (spherical_hessian.hpp):
  - Derives ∂α_i/∂u_j directly from the spherical law of cosines:
      ∂α1/∂l_opp  = sin(l_opp) / [sin(l_a)·sin(l_b)·sin(α1)]
      ∂α1/∂l_adj  = [cot(l_adj)·cos(α1) − cot(l_other)] / sin(α1)
    then chains with ∂l/∂λ = tan(l/2)
  - spherical_cot_weights() kept as a standalone helper (tested separately)
  - 8 tests: cot weights, symmetry, correct null-space & sign-convention
    (H·1 ≠ 0; H is NSD at equilibrium), FD × 3 meshes

All 62 cgal tests pass (3 skipped as before).

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>
 2026-05-12 17:22:28 +02:00
Tarik Moussa
8c353bb884 feat(phase3d+3e): port EuclideanCyclicFunctional + add SphericalFunctional gauge-fix 
Phase 3d — EuclideanCyclicFunctional:
  • euclidean_geometry.hpp: t-value / atan2 corner-angle formula with
    centering trick (μ = (Λ̃₁₂+Λ̃₂₃+Λ̃₃₁)/6) for numerical stability
  • euclidean_functional.hpp: EuclideanMaps bundle, gradient (G_v = Θ_v − Σα_v,
    G_e = α_opp⁺ + α_opp⁻ − φ_e), 10-point GL path-integral energy,
    gradient_check_euclidean — identical halfedge convention to SphericalFunctional
  • test_euclidean_functional.cpp: 11 tests (1 skip) covering angle formula,
    right-isosceles triangle, angle sum = π, degenerate detection, gradient
    checks on triangle/quad-strip/tetrahedron/fan-5/mixed-pinned, NaN check

Phase 3e — Spherical gauge-fix:
  • spherical_gauge_shift(): Newton + backtracking line search to find t*
    where ΣG_v(x + t·1) = 0 (maximises E along the global scale direction);
    bisection used when sign change is detectable, Newton+backtrack otherwise
  • apply_spherical_gauge(): in-place wrapper
  • 3 new tests: GaugeFix_SpherTetVertexZerosSumGv, GaugeFix_ApplyInPlace,
    GaugeFix_AlreadyAtGaugeReturnsTNearZero

Total: 45 cgal tests pass, 3 skipped (@Ignore Hessian stubs, one per functional)

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-12 07:39:14 +02:00
Tarik Moussa
a4c2a89e7e 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>
 2026-05-12 00:01:24 +02:00
Tarik Moussa
516ac89bd8 feat(phase3b): port HyperIdealFunctional energy + gradient onto ConformalMesh 
Implements the hyper-ideal discrete conformal map functional on
CGAL::Surface_mesh. The energy and analytic gradient are ported directly
from HyperIdealFunctional.java; correctness is verified via a
finite-difference gradient check (same eps=1E-5 / tol=1E-4 as Java).

New files:
  include/hyper_ideal_geometry.hpp    — ζ, ζ₁₃, ζ₁₄, ζ₁₅, lij, αij, σi, σij
  include/hyper_ideal_functional.hpp  — HyperIdealMaps, evaluate_hyper_ideal,
                                        gradient_check
  tests/cgal/test_hyper_ideal_functional.cpp  — 6 tests (1 skipped @Ignore)

Test results (local, -DWITH_CGAL=ON):
  conformallab_cgal_tests: 21 registered | 20 passed | 1 skipped | 0 failed
    - GradientCheck_AllHyperIdealTriangle   ✓
    - GradientCheck_ExtendedDomain          ✓
    - GradientCheck_TetrahedronAllVariable  ✓
    - EnergyFiniteAtTestPoint               ✓
    - GradientCheck_MixedIdealHyperIdeal    ✓
    - GradientCheck_Fan6AllVariable         ✓

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-11 23:10:23 +02:00
Tarik Moussa
bf9c323d60 feat(phase3a): introduce CGAL Surface_mesh as ConformalMesh foundation 
Replaces the Java CoHDS with CGAL::Surface_mesh<Point3> (Simple_cartesian
kernel). Adds domain-specific property maps for lambda/theta/idx/alpha and
face geometry type — the direct C++ equivalent of CoVertex/CoEdge adapters.

New files:
  include/conformal_mesh.hpp   — ConformalMesh type + property-map helpers
  include/mesh_builder.hpp     — mesh factories (triangle, tetrahedron,
                                 quad-strip, fan) for tests and examples
  tests/cgal/                  — second test executable (conformallab_cgal_tests)
                                 built only with -DWITH_CGAL=ON

Test results (local, -DWITH_CGAL=ON):
  conformallab_tests:      36 registered | 23 passed | 13 skipped | 0 failed
  conformallab_cgal_tests: 14 registered | 14 passed |  0 skipped | 0 failed

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
 2026-05-11 18:36:21 +02:00