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ConformalLabpp/README.md
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docs: Doxygen-API + Validierungsprotokoll + Porting-Tutorial
Für einen Mathematiker der unabhängig validieren und eigene Forschung
einbringen möchte.

Doxygen-Kommentare (code/include/):
  newton_solver.hpp — newton_euclidean(), newton_spherical(), newton_hyper_ideal()
    je mit \param, \return, \note, \see inkl. mathematischer Begründung
    (Konvexität, Vorzeichenkonvention, SparseQR-Fallback-Erklärung)
  layout.hpp — euclidean_layout(), spherical_layout(), hyper_ideal_layout()
    mit vollständiger Parameter-Doku, halfedge_uv-Semantik, Poincaré-Disk-Note

Neues Dokument:
  doc/math/validation-protocol.md
    7 reproduzierbare Checks mit konkreten Befehlen und erwartetem Output:
    0. 170 Tests, 1 Skip
    1. Gauss–Bonnet exakt (1e-10)
    2. FD-Gradientencheck < 1e-6 für alle 3 Geometrien
    3. Newton-Konvergenz < 50 Iterationen
    4. τ ∈ SL(2,ℤ)-Fundamentaldomäne (3 Invarianten)
    5. Möbius-Arithmetik (Inverse, Compose, from_three)
    6. End-to-End-Pipeline
    7. Manueller τ-Check für torus_4x4.off (Codebeispiel)

Neues Tutorial:
  doc/tutorials/add-inversive-distance.md
    Vollständiger Step-by-Step-Port von Phase 9a (Luo 2004):
    Header anlegen, Energie/Gradient implementieren, FD-Check,
    Newton-Wrapper, CMakeLists, Java-Referenzvergleich, Checkliste.

doc/getting-started.md:
  Abschnitt "Known issues": macOS-Finder-Duplikate (rm-Befehl),
  Warnung "First build 30–90s" (Tarball-Extraktion)

README.md:
  Zwei neue Links in der Dokumentationstabelle (validation-protocol,
  tutorial)

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-05-18 01:19:44 +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) |
| **Validation protocol** — concrete commands with expected outputs | [doc/math/validation-protocol.md](doc/math/validation-protocol.md) |
| **Tutorial: add a new functional** — step-by-step Inversive-Distance port | [doc/tutorials/add-inversive-distance.md](doc/tutorials/add-inversive-distance.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.