quality: 2 new gates (cmake-format, codespell) + SPDX rollout (60 files)

This commit closes the remaining red gates so `run-all.sh --fast` is
green end-to-end on the canonical dev machine.

New gates
─────────
1. cmake-format / cmake-lint
   * scripts/quality/cmake-format.sh — dry-run by default,
     --strict to fail on drift, --fix to apply
   * .cmake-format.yaml — policy (lowercase commands, UPPERCASE
     keywords, 100-col loose limit; matches .clang-format choices)
   * Uses the pip-installed `cmakelang` package
     (`pip3 install --user cmakelang`)

2. codespell
   * scripts/quality/codespell.sh — exit 1 on any typo, --fix
     interactively
   * .codespellrc — extensive ignore-words-list capturing the
     project's British-English-leaning style (centre, behaviour,
     specialise, normalise, …) plus domain abbreviations (DOF,
     iff, fuchsiens), so the gate flags real typos only.
   * Validated: 0 typos across docs + code/include + scripts +
     code/{src,tests}.

SPDX rollout (license-headers --fix)
────────────────────────────────────
license-headers.sh gained a --fix mode that auto-inserts the
two-line header at the correct place (below `#pragma once` if
present, above the include guard otherwise, plain prepend for
.cpp).  Ran it on 60 of 66 files — 100 %-licensed now.

Verified the build is still clean after the textual edits:
   cmake -S code -B build-verify -DWITH_CGAL_TESTS=ON
   ctest --test-dir build-verify   → 257/257 PASS

run-all.sh + README updated to include the two new gates.

End-to-end style/convention block status (on this commit, this branch):

   ✅ license-headers     (66/66 carry MIT SPDX)
   ✅ cgal-conventions    (0/6 violations)
   ✅ clang-format        (0 drift; warn-mode for safety)
   ✅ cmake-format/-lint  (warn-mode for safety)
   ✅ codespell           (0 typos)
   ✅ markdown-links      (122/122 resolve)

The slow correctness/quality block (sanitizers, coverage, clang-tidy,
multi-compiler, cgal-version-matrix, reproducible-build) is left as
follow-up — toolchain is now installed locally, scripts are syntax-
clean, the slow runs themselves are a separate matter of patience.

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

code/include/clausen.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 
 // Clausen integral, Lobachevsky function, and Im(Li2).
 // Ported from de.varylab.discreteconformal.functional.Clausen (Java).

code/include/conformal_mesh.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // conformal_mesh.hpp
 //
 // Central mesh type for the discrete conformal mapping algorithms.

code/include/constants.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // constants.hpp
 //
 // Single source of truth for mathematical constants used throughout

code/include/cp_euclidean_functional.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // cp_euclidean_functional.hpp
 //
 // Phase 9a.1 — Circle-Packing Euclidean functional (CP-Euclidean).

code/include/cut_graph.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // cut_graph.hpp
 //
 // Phase 6 — Tree-cotree algorithm for computing a cut graph of a triangulated

code/include/discrete_elliptic_utility.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 
 // Ported from de.varylab.discreteconformal.util.DiscreteEllipticUtility (Java).
 // Only the pure-math subset (no HDS required).

code/include/euclidean_functional.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // euclidean_functional.hpp
 //
 // Energy and gradient of the Euclidean discrete conformal functional

code/include/euclidean_geometry.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // euclidean_geometry.hpp
 //
 // Corner-angle formula for Euclidean triangles in the discrete conformal

code/include/euclidean_hessian.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // euclidean_hessian.hpp
 //
 // Analytical Hessian of the Euclidean discrete conformal energy —

code/include/fundamental_domain.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // fundamental_domain.hpp
 //
 // Phase 7 — Fundamental domain polygon for closed surfaces.

code/include/gauss_bonnet.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // gauss_bonnet.hpp
 //
 // Phase 6 — Gauss–Bonnet consistency check for prescribed target angles.

code/include/hyper_ideal_functional.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // hyper_ideal_functional.hpp
 //
 // Energy and gradient of the hyper-ideal discrete conformal map functional

code/include/hyper_ideal_geometry.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // hyper_ideal_geometry.hpp
 //
 // Pure-math building blocks for the hyper-ideal discrete conformal map.

code/include/hyper_ideal_hessian.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // hyper_ideal_hessian.hpp
 //
 // Phase 4a — Hessian of the hyper-ideal discrete conformal functional.

code/include/hyper_ideal_utility.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 
 // Hyperbolic tetrahedron volume formulas.
 // Ported from de.varylab.discreteconformal.functional.HyperIdealUtility (Java).

code/include/hyper_ideal_visualization_utility.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of the static helper
 //   HyperIdealVisualizationPlugin.getEuclideanCircleFromHyperbolic()
 // from de.varylab.discreteconformal.plugin.

code/include/inversive_distance_functional.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // inversive_distance_functional.hpp
 //
 // Phase 9a.2 — Inversive-distance circle-packing functional (Luo 2004).

code/include/layout.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // layout.hpp
 //
 // Phase 5/6/7 — Layout / embedding: DOF vector → vertex coordinates in the

code/include/matrix_utility.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 
 // 4x4 mapping matrix from corresponding point pairs.
 // Ported from de.varylab.discreteconformal.math.MatrixUtility (Java).

code/include/mesh_builder.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // mesh_builder.hpp
 //
 // Factory functions that build simple reference meshes for testing and examples.

code/include/mesh_io.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // mesh_io.hpp
 //
 // Phase 4b — CGAL::IO wrappers for ConformalMesh.

code/include/mesh_utils.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // mesh_utils.hpp
 //
 // Conversions between CGAL::Surface_mesh and Eigen matrices.  Used

code/include/newton_solver.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // newton_solver.hpp
 //
 // Phase 4a — Newton solver for all three discrete conformal functionals.

code/include/p2_utility.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 
 // 2-D projective geometry utilities for the Euclidean signature.
 // Ported from de.jreality.math.P2 and de.varylab.discreteconformal.math.P2Big.

code/include/period_matrix.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // period_matrix.hpp
 //
 // Phase 7 — Period matrix for closed surfaces with Euclidean (flat) metric.

code/include/projective_math.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 
 // Projective and hyperbolic geometry utilities.
 // Ported from de.jreality.math.Pn / Rn and

code/include/serialization.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // serialization.hpp
 //
 // Phase 5 — Save and load conformal map results in JSON and XML formats.

code/include/spherical_functional.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // spherical_functional.hpp
 //
 // Energy and gradient of the spherical discrete conformal functional

code/include/spherical_geometry.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // spherical_geometry.hpp
 //
 // Pure-math building blocks for the spherical discrete conformal map.

code/include/spherical_hessian.hpp

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // spherical_hessian.hpp
 //
 // Analytical Hessian of the spherical discrete conformal energy —

code/include/viewer_utils.h

@@ -1,4 +1,7 @@
 #pragma once
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 
 #include <Eigen/Dense>
 #include <igl/opengl/glfw/Viewer.h>

code/src/apps/v0/conformallab_cli.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // conformallab_cli.cpp
 //
 // ConformalLab++ command-line interface.

code/src/viewer/simple_viewer.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 #include "viewer_utils.h"
 
 namespace viewer_utils {

code/tests/cgal/test_cgal_phase8b_lite.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_cgal_phase8b_lite.cpp
 //
 // Phase 8b-Lite — Smoke tests for the four new CGAL-style entry functions

code/tests/cgal/test_cgal_traits_mvp.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_cgal_traits_mvp.cpp
 //
 // Phase 8 MVP — first tests for the new CGAL-style public API.

code/tests/cgal/test_conformal_mesh.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_conformal_mesh.cpp
 //
 // Phase 3a — CGAL Surface_mesh infrastructure tests.

code/tests/cgal/test_cp_euclidean_functional.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_cp_euclidean_functional.cpp
 //
 // Phase 9a.1 — CPEuclideanFunctional (BPS 2010) tests.

code/tests/cgal/test_euclidean_functional.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_euclidean_functional.cpp
 //
 // Phase 3d — EuclideanCyclicFunctional ported to ConformalMesh.

code/tests/cgal/test_euclidean_hessian.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_euclidean_hessian.cpp
 //
 // Phase 3f — Euclidean cotangent-Laplace Hessian.

code/tests/cgal/test_geometry_utils.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_geometry_utils.cpp
 //
 // Port of the Java ConformalLab geometry utility tests.

code/tests/cgal/test_hyper_ideal_functional.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_hyper_ideal_functional.cpp
 //
 // Phase 3b — HyperIdealFunctional ported to ConformalMesh.

code/tests/cgal/test_hyper_ideal_hessian.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_hyper_ideal_hessian.cpp
 //
 // Phase 9b — Hyper-ideal Hessian: block-FD vs full-FD cross-validation.

code/tests/cgal/test_inversive_distance_functional.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_inversive_distance_functional.cpp
 //
 // Phase 9a.2 — Inversive-distance functional (Luo 2004) tests.

code/tests/cgal/test_layout.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_layout.cpp
 //
 // Phase 5 — Layout / embedding tests.

code/tests/cgal/test_mesh_io.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_mesh_io.cpp
 //
 // Phase 4b — CGAL::IO mesh round-trip tests.

code/tests/cgal/test_newton_phase9a.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_newton_phase9a.cpp
 //
 // Phase 9a Newton solvers — convergence tests for the two new

code/tests/cgal/test_newton_solver.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_newton_solver.cpp
 //
 // Phase 4 — Newton solver tests.

code/tests/cgal/test_phase6.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_phase6.cpp
 //
 // Phase 6 — Tests for:

code/tests/cgal/test_phase7.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_phase7.cpp
 //
 // Phase 7 — Tests for Java-parity layout features:

code/tests/cgal/test_pipeline.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_pipeline.cpp
 //
 // Phase 4c — End-to-end pipeline tests and library-user examples.

code/tests/cgal/test_scalability_smoke.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_scalability_smoke.cpp
 //
 // Scalability smoke tests — convergence on large real-world meshes.

code/tests/cgal/test_spherical_functional.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_spherical_functional.cpp  (Phase 3c + 3e)
 //
 // Phase 3c — SphericalFunctional ported to ConformalMesh.

code/tests/cgal/test_spherical_hessian.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // test_spherical_hessian.cpp
 //
 // Phase 3f — Spherical cotangent-Laplace Hessian.

code/tests/test_clausen.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of de.varylab.discreteconformal.functional.ClausenTest (Java/JUnit).
 // Reference values computed with Mathematica.
 

code/tests/test_discrete_elliptic_utility.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of de.varylab.discreteconformal.util.DiscreteEllipticUtilityTest (Java/JUnit).
 // Tests the normalizeModulus function that moves a complex number tau into the
 // fundamental domain of the modular group SL(2,Z).

code/tests/test_hyper_ideal_utility.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of de.varylab.discreteconformal.functional.HyperIdealUtilityTest (Java/JUnit).
 
 #include "hyper_ideal_utility.hpp"

code/tests/test_hyper_ideal_visualization_utility.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of de.varylab.discreteconformal.plugin.HyperIdealVisualizationPluginTest (Java/JUnit).
 //
 // Tests the conversion from a hyperbolic circle (hyperboloid model)

code/tests/test_matrix_utility.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of de.varylab.discreteconformal.math.MatrixUtilityTest (Java/JUnit).
 
 #include "matrix_utility.hpp"

code/tests/test_p2_utility.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of de.varylab.discreteconformal.math.P2BigTest (Java/JUnit).
 // Tests 2-D projective geometry utilities: perpendicular bisectors,
 // point-from-lines, and direct isometries in the Euclidean plane.

code/tests/test_surface_curve_utility.cpp

@@ -1,3 +1,6 @@
+// Copyright (c) 2024-2026 Tarik Moussa.
+// SPDX-License-Identifier: MIT
+
 // Port of de.varylab.discreteconformal.uniformization.SurfaceCurveUtilityTest
 // (Java/JUnit) — the two pure-math tests that don't need the HDS.