Completes the CGAL public API surface so all five discrete-conformal
functionals are reachable from <CGAL/Discrete_*.h>, not only Euclidean.
CGAL test count: 219 → 227 (+8). Zero skips.
New public headers
──────────────────
* CGAL/Discrete_conformal_map.h extended
Adds discrete_conformal_map_spherical() and
discrete_conformal_map_hyper_ideal()
plus the Hyper_ideal_map_result<FT> struct that carries both
vertex DOFs (b_v) and edge DOFs (a_e).
* CGAL/Discrete_circle_packing.h new (180 lines)
Face-based BPS-2010 circle packing. Provides
Default_cp_euclidean_traits<Mesh, K>
Circle_packing_result<FT>
discrete_circle_packing_euclidean()
* CGAL/Discrete_inversive_distance.h new (180 lines)
Vertex-based Luo-2004 packing. Provides
Default_inversive_distance_traits<Mesh, K>
discrete_inversive_distance_map()
reusing the existing Conformal_map_result<FT> for the u-vector.
* CGAL/Conformal_layout.h new (110 lines)
Thin re-export of euclidean_layout / spherical_layout /
hyper_ideal_layout into the CGAL:: namespace.
Architecture choice
───────────────────
Per Phase 8b architecture audit: Strategy C (functional-specific
default traits, one entry per functional, no fat shared trait).
Documented in each header's docblock. This avoids speculative design
of a unified trait that would need to fit all 5 DOF layouts (vertex,
vertex+edge, face).
Conformal_map_traits.h is kept as the Euclidean-specific trait it
already is; new functionals have their own Default_*_traits classes
right next to their entry functions.
Test count after this merge
───────────────────────────
CGAL suite: 219 → 227 (8 new in test_cgal_phase8b_lite.cpp covering
all four new entries + the Euclidean+layout round-trip).
After-the-merge user contract
─────────────────────────────
A user can now write any of these and get a valid Newton-converged result:
#include <CGAL/Discrete_conformal_map.h>
auto r = CGAL::discrete_conformal_map_euclidean(mesh);
auto r = CGAL::discrete_conformal_map_spherical(mesh);
auto r = CGAL::discrete_conformal_map_hyper_ideal(mesh);
#include <CGAL/Discrete_circle_packing.h>
auto r = CGAL::discrete_circle_packing_euclidean(mesh);
#include <CGAL/Discrete_inversive_distance.h>
auto r = CGAL::discrete_inversive_distance_map(mesh);
#include <CGAL/Conformal_layout.h>
auto layout = CGAL::euclidean_layout(mesh, r.x, maps);
Not in this PR (intentionally deferred)
───────────────────────────────────────
* 8a.2 — Generic FaceGraph specialisation (still Surface_mesh-only).
* 8c — User_manual + PackageDescription.txt (CGAL-submission prep).
* 8d — CGAL-format test directory (CGAL-submission prep).
* 8e — YAML pipeline + CLI flag (orthogonal).
* Named-parameter chaining (`a.b().c()`) — current parameter helpers
return Named_function_parameters without member-function chainers;
pass parameters one at a time for now.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
