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Phase 8b-Lite: pipe-operator chaining for named parameters
Adds `operator|` in `namespace CGAL` so package-local named parameters
can be combined left-to-right without modifying CGAL upstream:

    auto p = CGAL::parameters::gradient_tolerance(1e-12)
           | CGAL::parameters::max_iterations(500)
           | CGAL::parameters::output_uv_map(uv);
    CGAL::discrete_conformal_map_euclidean(mesh, p);

Why not the canonical `.a().b().c()` syntax
───────────────────────────────────────────
CGAL's standard chaining mechanism requires registering each named
parameter as a member function on `Named_function_parameters` via the
`CGAL_add_named_parameter` macro in
`CGAL/STL_Extension/internal/parameters_interface.h` — a vendored
upstream file that conformallab++ deliberately treats as read-only.

Adding member-function chainers for our package-local tags would
require either forking CGAL or modifying the vendored copy.  Neither
is acceptable for a library that wants to remain portable across
future CGAL releases.

The pipe-operator achieves the same compositional semantics via a
free function in `namespace CGAL` (so ADL finds it for
`Named_function_parameters` operands).  Implementation: rebuild the
right-hand-side `Named_function_parameters` with the left-hand-side
as its `Base`, producing an indistinguishable chain that every entry
function accepts unchanged.

Implementation: `code/include/CGAL/Conformal_map/internal/parameters.h`
lines 158-187.  The operator is constrained to right-hand-sides with
`No_property` base (i.e. fresh single-parameter packs from the helper
functions), so it never collides with any future CGAL operator on the
same type.

Tests (2 new, total Phase-8b-Lite suite 15 → 17)
────────────────────────────────────────────────
* CGALPhase8bLite.NamedParamPipe_MultipleParamsTakeEffect
    Chain three parameters; verify all three take effect (tight
    tolerance respected + UV pmap populated + iteration cap honoured).
* CGALPhase8bLite.NamedParamPipe_TwoParams
    Chain two parameters; verify max_iterations(0) blocks the loop
    even when combined with another param.

Full CGAL suite: 234/234 PASSED, 0 SKIPPED (was 232).
Total: 257/257 PASSED, 0 SKIPPED (was 255).
scripts/check-test-counts.sh: OK.

Documentation updates
─────────────────────
* doc/tutorials/add-output-uv-map.md §3.4: "Current limitation: no
  chaining" → "Chaining: use the pipe operator `|`".  Explains why
  CGAL's `.member()` syntax isn't available and shows the `|`
  workaround with a working code example.
* doc/architecture/locked-vs-flexible.md §8: chaining now flagged as
  shipped via pipe; recommended posture says `.member()` chaining
  only if a user pushes for the CGAL-canonical syntax.
* doc/roadmap/porting-status.md §5: API limitations table updated.
* doc/api/tests.md: CGALPhase8bLite row 15 → 17, total 232 → 234.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-05-22 13:43:52 +02:00

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# Test Suites
## `conformallab_tests` — always built (no CGAL)
Pure-math tests, only Eigen required. Covers Java utilities ported in Phase 12.
| File | What it tests |
|---|---|
| `test_clausen.cpp` | Clausen Cl₂, Lobachevsky Л, ImLi₂ — values at known points |
| `test_hyper_ideal_utility.cpp` | Tetrahedron volumes (Meyerhoff / KolpakovMednykh) |
| `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: 23 tests, 0 skipped.**
---
## `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` | 12 | Angle formula + gradient + gauge-fix + cross-module Hessian check |
| `EuclideanFunctional` | `test_euclidean_functional.cpp` | 12 | Angle formula + gradient + cross-module Hessian check |
| `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, flagindex 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 = #halfedges, seam consistency, boundary halfedges = 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` | 7 | τ ∈ , SL(2,) reduction, exception outside |
| `FundamentalDomain` | `test_phase7.cpp` | 7 | Genus-1 parallelogram CCW, generators, g > 1 empty |
| `TilingCopy/Neighbourhood` | `test_phase7.cpp` | 4 | Translation correct, tile count |
| `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` | 15 | Phase 8b-Lite — CGAL entries for all 5 DCE models + `output_uv_map` + pipe-operator chaining |
**Total: 234 tests, 0 skipped.**
---
## Running tests
```bash
# 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
```