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ConformalLabpp/README.md
Tarik Moussa e28aee7051
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docs: Mathematiker-Onboarding — Theorie, Validierung, Beispiel-Meshes, 170 Tests
Ziel: einem interessierten Mathematiker ermöglichen, die bisherige Arbeit
      unabhängig zu validieren und eigene Forschung beizutragen.

Neu:
  doc/math/discrete-conformal-theory.md
      Kompakte mathematische Einführung (DCE, Variationsprinzip, drei
      Geometriemodi, Holonomie, Periodenmatrix) für Riemann-Flächen-Kenner.

  doc/math/validation.md
      Analytisch bekannte Sollwerte + wie man sie mit dem Code prüft:
      Gauss–Bonnet (χ), τ ∈ Fundamentaldomäne (3 Invarianten), Symmetrie-
      Argumente für τ=i (4-fach) und τ=e^{iπ/3} (6-fach), Newton-Konvergenz,
      Gradienten-Check (FD), Holonomie-Kommutator. Reviewer-Checkliste.

  CONTRIBUTING.md (Root)
      Gitea/GitHub-Standard: CONTRIBUTING.md im Root-Verzeichnis als
      Kurzreferenz mit Links zu doc/contributing.md und den Math-Docs.

  code/data/off/torus_4x4.off   — 16 Vertices, 32 Flächen, Genus 1
  code/data/off/torus_8x8.off   — 64 Vertices, 128 Flächen, Genus 1
  code/data/off/torus_hex_6x6.off — 36 Vertices, 72 Flächen, 6-fach Sym.

Aktualisiert:
  README.md              — 158 → 170 Tests, zwei neue Math-Links in Tabelle
  doc/api/tests.md       — 28 Suiten, 170 Tests, 1 Skip (korrigiert)
  doc/contributing.md    — Testzähler 158+2 → 170+1

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-05-18 01:11:00 +02:00

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# conformallab++
C++17 reimplementation of [ConformalLab](https://github.com/varylab/conformallab) —
Stefan Sechelmann's Java research library for discrete conformal geometry (TU Berlin).
The long-term goal is a **CGAL package** for discrete conformal maps.
Algorithmic foundation:
> Stefan Sechelmann — *Variational Methods for Discrete Surface Parameterization: Applications and Implementation*, TU Berlin 2016.
> DOI: [10.14279/depositonce-5415](https://depositonce.tu-berlin.de/items/8e2988b2-d991-45b5-aad5-9fb7988f3b2f) · CC BY-SA 4.0 ·
> [Java original](https://github.com/varylab/conformallab) · [sechel.de](https://sechel.de/)
**Status:** Phase 7 complete. Newton solver for all three geometries (Euclidean / Spherical / HyperIdeal), priority-BFS layout in ℝ²/S²/Poincaré disk, GaussBonnet, tree-cotree cut graph, Möbius holonomy, period matrix (genus 1), fundamental domain, halfedge_uv texture atlas, JSON/XML serialisation, CLI app. **170 CGAL tests + 36 non-CGAL tests.**
---
## Quick start
```bash
git clone https://codeberg.org/TMoussa/ConformalLabpp && cd ConformalLabpp
# Fast tests — no system dependencies
cmake -S code -B build && cmake --build build --target conformallab_tests -j$(nproc)
ctest --test-dir build --output-on-failure
# CGAL tests headless (apt install libboost-dev / brew install boost)
cmake -S code -B build -DWITH_CGAL_TESTS=ON
cmake --build build --target conformallab_cgal_tests -j$(nproc)
ctest --test-dir build -R "^cgal\." --output-on-failure
# Full build with CLI + viewer (requires Wayland/X11 dev headers)
cmake -S code -B build -DWITH_CGAL=ON && cmake --build build -j$(nproc)
./bin/conformallab_core -i input.off -g euclidean -o layout.off -j result.json
```
---
## Minimal usage
```cpp
#include "conformal_mesh.hpp"
#include "mesh_io.hpp"
#include "euclidean_functional.hpp"
#include "gauss_bonnet.hpp"
#include "newton_solver.hpp"
#include "layout.hpp"
using namespace conformallab;
ConformalMesh mesh = load_mesh("input.off");
EuclideanMaps maps = setup_euclidean_maps(mesh);
compute_euclidean_lambda0_from_mesh(mesh, maps);
// Assign DOFs — pin first vertex (gauge fix)
auto vit = mesh.vertices().begin();
maps.v_idx[*vit++] = -1;
int idx = 0;
for (; vit != mesh.vertices().end(); ++vit) maps.v_idx[*vit] = idx++;
// Natural equilibrium target: x* = 0 by construction
std::vector<double> x0(idx, 0.0);
auto G0 = euclidean_gradient(mesh, x0, maps);
for (auto v : mesh.vertices())
if (maps.v_idx[v] >= 0) maps.theta_v[v] -= G0[maps.v_idx[v]];
check_gauss_bonnet(mesh, maps);
NewtonResult res = newton_euclidean(mesh, x0, maps);
Layout2D layout = euclidean_layout(mesh, res.x, maps);
```
---
## Documentation
| | |
|---|---|
| **Getting started** — build modes, single-test invocation, CLI, Docker | [doc/getting-started.md](doc/getting-started.md) |
| **Pipeline API** — all three geometries, holonomy, serialisation | [doc/api/pipeline.md](doc/api/pipeline.md) |
| **Public headers** — all 24 headers with descriptions | [doc/api/headers.md](doc/api/headers.md) |
| **Test suites** — 28 suites, 170 tests, individual counts | [doc/api/tests.md](doc/api/tests.md) |
| **Extending** — new functionals, geometry modes, porting from Java | [doc/api/extending.md](doc/api/extending.md) |
| **Processing unit contracts** — preconditions / provides table | [doc/api/contracts.md](doc/api/contracts.md) |
| **CGAL package design** — Phase 8 target, YAML pipeline | [doc/api/cgal-package.md](doc/api/cgal-package.md) |
| **Architecture & pipeline diagram** | [doc/architecture/overall_pipeline.md](doc/architecture/overall_pipeline.md) |
| **Design decisions** — key architectural choices + rationale | [doc/architecture/design-decisions.md](doc/architecture/design-decisions.md) |
| **Project structure** — directory tree + build targets | [doc/architecture/project-structure.md](doc/architecture/project-structure.md) |
| **Discrete conformal theory** — mathematical background for collaborators | [doc/math/discrete-conformal-theory.md](doc/math/discrete-conformal-theory.md) |
| **Validation** — known analytic results + how to verify them | [doc/math/validation.md](doc/math/validation.md) |
| **Geometry modes** — Euclidean / Spherical / HyperIdeal comparison | [doc/math/geometry-modes.md](doc/math/geometry-modes.md) |
| **References** — all papers by module | [doc/math/references.md](doc/math/references.md) |
| **Roadmap** — Phases 110 | [doc/roadmap/phases.md](doc/roadmap/phases.md) |
| **Java parity table** — what is ported, what is planned | [doc/roadmap/java-parity.md](doc/roadmap/java-parity.md) |
| **Contributing** — language policy, test standards, release flow | [doc/contributing.md](doc/contributing.md) |
| **Claude Code context** | [CLAUDE.md](CLAUDE.md) |
---
## License
conformallab++ is released under the MIT License (see [LICENSE](LICENSE)).
The dissertation (Sechelmann 2016) is CC BY-SA 4.0.