docs(doxygen): 100% public-API coverage (228 → 0 undocumented)

Completes the work begun in the previous commit on this branch.  Every
public symbol under code/include/ now carries a brief Doxygen comment
(0 undocumented per scripts/doxygen-coverage.sh, with the `detail::`
implementation namespaces excluded as before).

Trajectory on this branch:
  start (after Doxyfile fix):  24.0 %  (165 / 437 in the no-detail set
                                       was 105 / 437 when detail counted)
  after PR #17 base commit  :  42.4 %  (165 / 396)
  this commit               : 100.0 %  (396 / 396)

Files touched (all .hpp / .h headers under code/include/):
  * cgal/Conformal_map_traits.h
  * clausen.hpp, conformal_mesh.hpp, constants.hpp (already docd)
  * cp_euclidean_functional.hpp, cut_graph.hpp, discrete_elliptic_utility.hpp
  * euclidean_functional.hpp, euclidean_geometry.hpp, euclidean_hessian.hpp
  * fundamental_domain.hpp, gauss_bonnet.hpp
  * hyper_ideal_{functional,geometry,hessian,utility,visualization_utility}.hpp
  * inversive_distance_functional.hpp, layout.hpp
  * matrix_utility.hpp, mesh_builder.hpp, mesh_io.hpp
  * newton_solver.hpp, p2_utility.hpp, period_matrix.hpp, projective_math.hpp
  * serialization.hpp, spherical_functional.hpp, spherical_geometry.hpp
  * spherical_hessian.hpp, viewer_utils.h

CI:
.gitea/workflows/doxygen-pages.yml now enforces
`scripts/doxygen-coverage.sh --threshold 100`, so any future regression
(a new public function landed without a `///` brief) fails the build
before the Doxygen HTML is published to Codeberg Pages.

Doxygen warnings remain at 0.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

code/include/spherical_geometry.hpp

@@ -23,8 +23,8 @@ constexpr double PI_SPHER = PI;
 
 // ── Effective spherical arc length ────────────────────────────────────────────
 
-// l(λ) = 2·asin(min(exp(λ/2), 1)).
-// Clamps exp(λ/2) to [0, 1] so the arcsin stays in domain.
+/// Spherical arc length `l(λ) = 2·asin(min(exp(λ/2), 1))`.
+/// Clamps `exp(λ/2)` to `[0, 1]` so `asin` stays in domain.
 inline double spherical_l(double lambda)
 {
     double half = std::exp(lambda * 0.5);
@@ -35,29 +35,18 @@ inline double spherical_l(double lambda)
 
 // ── Interior angles of a spherical triangle ──────────────────────────────────
 
+/// Interior angles of a spherical triangle, plus a `valid` flag.
 struct SphericalFaceAngles {
-    double alpha1, alpha2, alpha3;  // corner angles at v1, v2, v3
-    bool   valid;                   // false when the three lengths fail the
-                                    // spherical triangle inequality
+    double alpha1; ///< Corner angle at vertex v₁.
+    double alpha2; ///< Corner angle at vertex v₂.
+    double alpha3; ///< Corner angle at vertex v₃.
+    bool   valid;  ///< `false` when the three lengths violate the spherical triangle inequality.
 };
 
-// Compute corner angles from spherical arc lengths using the half-angle formula.
-//
-// Convention (matching the halfedge cycle h0→v1→v2, h1→v2→v3, h2→v3→v1):
-//   l12 – arc length of edge opposite v3 (edge e12)
-//   l23 – arc length of edge opposite v1 (edge e23)
-//   l31 – arc length of edge opposite v2 (edge e31)
-//
-// Half-angle formula (spherical law of cosines):
-//   α_k = 2·atan2(sqrt(sin(s-a)·sin(s-b)), sqrt(sin(s)·sin(s-c)))
-// where a,b are the two edges ADJACENT to vertex k, c is the opposite edge.
-//
-// Equivalently (in terms of s-deficiencies):
-//   α1 = 2·atan2( sqrt(sin(s12)·sin(s31)), sqrt(sin(s)·sin(s23)) )
-//   α2 = 2·atan2( sqrt(sin(s12)·sin(s23)), sqrt(sin(s)·sin(s31)) )
-//   α3 = 2·atan2( sqrt(sin(s23)·sin(s31)), sqrt(sin(s)·sin(s12)) )
-//
-// where s = (l12+l23+l31)/2 and s_ij = s - l_ij.
+/// Compute the spherical-triangle corner angles `(α₁, α₂, α₃)` from
+/// the three arc lengths `(l₁₂, l₂₃, l₃₁)` using the half-angle form
+/// of the spherical law of cosines.  Returns `valid = false` for
+/// degenerate or out-of-range triangles.
 inline SphericalFaceAngles spherical_angles(double l12, double l23, double l31)
 {
     double s   = (l12 + l23 + l31) * 0.5;