doc(reviewer): add usability audit 2026-05-31
External documentation and usability review of v0.10.0.
9 findings covering documentation correctness, API usability,
and new-user experience.
Critical:
U1 — All examples show trivial identity map (natural theta),
not real conformal flattening — new users see no-op output
U2 — CGAL public API has zero runnable examples
Medium:
U3 — contracts.md incorrect: check_gauss_bonnet row missing
HyperIdeal restriction (deleted overload after Finding-B)
U4 — README still shows v0.9.0 (current: v0.10.0, 277 tests)
U5 — Discrete_conformal_map.h header comment describes Phase-8a
state; all 5 entry functions already implemented
U6 — New gauge-vertex overload (Finding-D) not reflected in
README or examples — old verbose loop still shown
Minor:
U7 — CONFORMALLAB_LOW_MEMORY_BUILD absent from getting-started.md
U8 — CONFORMALLAB_LOW_MEMORY_BUILD absent from README table
U9 — Layout2D.uv index semantics undocumented (v.idx() contract)
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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# Usability & Documentation Audit — ConformalLabpp v0.10.0
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**Date:** 2026-05-31
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**Auditor:** External reviewer (Claude Sonnet 4.6)
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**Branch:** `review/usability-audit-2026-05-31`
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**Base:** `main` (post external-audit-2026-05-30 merge)
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**Focus:** Documentation quality, API usability, new-user experience
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This document is self-contained. A new session can pick up any finding
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and act on it without prior context. Each finding includes exact file paths,
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the concrete problem, and a precise fix with acceptance criteria.
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Status legend: 🔴 Usability bug · 🟡 Doc error/stale · 🟠 Missing content
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---
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## How to read this document in a new session
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```bash
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git checkout review/usability-audit-2026-05-31
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# No build needed for most fixes — documentation and example changes only.
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# For changes that touch compilable code (examples), verify with:
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cmake -S code -B build-cgal -DWITH_CGAL_TESTS=ON -DCONFORMALLAB_LOW_MEMORY_BUILD=ON
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cmake --build build-cgal --target conformallab_cgal_tests -j1
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ctest --test-dir build-cgal -R '^cgal\.' --output-on-failure
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```
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---
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## FINDING-U1 — 🔴 CRITICAL: All examples show the trivial identity map, not real conformal flattening
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### Location
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- `README.md` lines 100–121 ("Minimal usage")
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- `code/examples/example_euclidean.cpp` lines 72–83 (Step 4)
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- `code/examples/example_layout.cpp` lines 40–49 (`set_natural_theta`)
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- `code/examples/example_hyper_ideal.cpp` lines 89–98 (Step 3)
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### Problem
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Every example uses the "natural theta" trick:
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```cpp
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auto G0 = euclidean_gradient(mesh, x0, maps);
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for (auto v : mesh.vertices())
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if (maps.v_idx[v] >= 0)
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maps.theta_v[v] -= G0[maps.v_idx[v]];
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```
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This sets Θ_v to the *actual angle sums at x=0*, making x*=0 the equilibrium.
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The result: `u_v ≈ 0` everywhere — **no deformation**. The map is identity.
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Natural theta is a valid test pattern (it proves Newton converges in 0 or 1
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steps and guards against solver regressions). But as the *only* pattern shown to
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a new user, it gives the false impression that the library produces trivial
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output. The real use case — **conformally flatten a surface to the plane** —
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is never demonstrated.
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### What is missing
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A "real-world" example that shows the actual use case:
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```cpp
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// Conformally flatten a mesh to the plane.
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// Set Θ_v = 2π (regular interior vertex, zero cone angle defect) for all
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// free vertices; enforce_gauss_bonnet makes the assignment topologically
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// consistent. The result is a flat conformal map with minimal angle distortion.
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for (auto v : mesh.vertices())
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maps.theta_v[v] = conformallab::TWO_PI;
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conformallab::enforce_gauss_bonnet(mesh, maps);
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auto res = conformallab::newton_euclidean(mesh, x0, maps);
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auto layout = conformallab::euclidean_layout(mesh, res.x, maps);
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// layout.uv[v.idx()] now holds 2D coordinates of the flattening
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```
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### Fix
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1. **Add a new example** `code/examples/example_flatten.cpp`:
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- Takes a real mesh from `code/data/` (e.g. `cathead.obj` or `torus_8x8.off`)
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- Sets Θ_v = 2π, calls `enforce_gauss_bonnet`, solves Newton, computes layout
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- Saves a UV-mapped OFF file
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- Shows non-trivial u_v values at output
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2. **Update README "Minimal usage"** to show the flatten use case instead of
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(or in addition to) natural theta. Add a comment explaining what natural
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theta is and when to use it.
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3. **Add a comment** to all existing examples explaining that natural theta
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is a *testing convenience*, not a typical use case.
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### Acceptance criteria
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- [ ] `example_flatten.cpp` compiles and runs with a real mesh input
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- [ ] Output shows non-trivial `u_v ≠ 0` and a visible UV parameterisation
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- [ ] README "Minimal usage" demonstrates real flattening (not identity)
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- [ ] Existing examples have a comment: "Note: natural theta → x* = 0 (testing
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pattern). For real flattening, set theta_v = TWO_PI and call enforce_gauss_bonnet."
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---
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## FINDING-U2 — 🔴 CRITICAL: No example for the CGAL public API
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### Location
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- `code/include/CGAL/Discrete_conformal_map.h` (the "user-facing entry")
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- `code/examples/` (no example uses CGAL::discrete_conformal_map_euclidean)
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### Problem
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`Discrete_conformal_map.h` is documented as "User-facing entry point for the
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Discrete_conformal_map package." The Doxygen doc shows a minimal usage snippet:
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```cpp
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auto result = CGAL::discrete_conformal_map_euclidean(mesh);
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```
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But this snippet only exists in a Doxygen comment — no compilable example
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demonstrates it. All four `code/examples/*.cpp` use the *internal* API
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(`setup_euclidean_maps + newton_euclidean`). A CGAL user who reaches this
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library via the CGAL ecosystem has no runnable starting point.
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The CGAL API and the internal API also produce *different result types*:
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- Internal: `NewtonResult.x` — DOF-index-indexed `std::vector<double>`
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- CGAL: `Conformal_map_result.u_per_vertex` — vertex-index-indexed `std::vector<FT>`
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This discrepancy is not explained anywhere for users.
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### Fix
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Add `code/examples/example_cgal_api.cpp`:
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```cpp
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// Demonstrates the CGAL public API (Discrete_conformal_map.h).
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// Contrast with example_euclidean.cpp which uses the internal API directly.
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#include <CGAL/Simple_cartesian.h>
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#include <CGAL/Surface_mesh.h>
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#include <CGAL/Discrete_conformal_map.h>
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// ...
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auto result = CGAL::discrete_conformal_map_euclidean(mesh);
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// result.u_per_vertex[v.idx()] — per-vertex scale factor
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// result.converged, result.iterations, result.gradient_norm
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```
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Also add to README: a short paragraph explaining when to use CGAL API
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vs internal API (CGAL API: simpler, less control; internal API: full pipeline,
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holonomy, period matrix).
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### Acceptance criteria
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- [ ] `example_cgal_api.cpp` compiles with `-DWITH_CGAL=ON`
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- [ ] Example uses `CGAL::discrete_conformal_map_euclidean` (not internal API)
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- [ ] README explains the two API levels and when to use each
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---
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## FINDING-U3 — 🟡 DOC ERROR: `contracts.md` incorrect after Finding-B
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### Location
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`doc/api/contracts.md` line 16
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### Problem
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```markdown
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| `check_gauss_bonnet()` | `theta_v[v]` set for all vertices |
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Throws `std::runtime_error` if Σ(2π−Θᵥ) ≠ 2π·χ(M) |
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```
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After the external-audit-2026-05-30 Finding-B fix, calling
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`check_gauss_bonnet(mesh, hyper_ideal_maps)` is a **compile error**
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(the overload is `= delete`). The contract table implies it works for
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all map types — which is now false.
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Also missing from the table: the HyperIdeal functional needs no
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Gauss-Bonnet pre-check because its energy is strictly convex
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(Springborn 2020 Theorem 1.3) — Newton converges for any target angles.
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### Fix
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```markdown
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| `check_gauss_bonnet()` | `theta_v[v]` set · **Euclidean or Spherical maps only** |
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Throws if Σ(2π−Θᵥ) ≠ 2π·χ(M). **Not applicable to HyperIdealMaps** —
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deleted overload; HyperIdeal needs no pre-check (strictly convex energy). |
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```
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Also add a row for `enforce_gauss_bonnet`:
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```markdown
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| `enforce_gauss_bonnet()` | `theta_v[v]` set · **Euclidean or Spherical maps only** |
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Shifts all Θᵥ by δ = (lhs−rhs)/V so that GB holds exactly.
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**Not applicable to HyperIdealMaps** — deleted overload. |
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```
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### Acceptance criteria
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- [ ] `check_gauss_bonnet` row notes "Euclidean/Spherical only, not HyperIdeal"
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- [ ] `enforce_gauss_bonnet` row added with same note
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- [ ] A brief explanation why HyperIdeal doesn't need GB: "strictly convex energy"
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---
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## FINDING-U4 — 🟡 DOC ERROR: Stale version in README (v0.9.0)
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### Location
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`README.md` line 17
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### Problem
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```markdown
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**Status:** v0.9.0 — Phases 1–9a complete, Phase 8b-Lite CGAL API surface.
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```
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The current release is **v0.10.0** (tagged on `main`; CLAUDE.md confirms this).
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CLAUDE.md was updated to v0.10.0 but the README was not.
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### Fix
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```markdown
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**Status:** v0.10.0 — Phases 1–9b complete. Newton solvers for five DCE
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models (Euclidean / Spherical / HyperIdeal / CP-Euclidean / Inversive-Distance),
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priority-BFS layout in ℝ²/S²/Poincaré disk, Gauss–Bonnet, tree-cotree cut
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graph, Möbius holonomy, period matrix (genus 1), fundamental domain,
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halfedge_uv texture atlas, JSON/XML serialisation, CLI app.
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277 tests passing, 0 skipped — see [`doc/api/tests.md`](doc/api/tests.md).
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```
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### Acceptance criteria
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- [ ] README status line shows v0.10.0 and the correct feature list
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- [ ] Test count updated to 277
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---
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## FINDING-U5 — 🟡 DOC ERROR: CGAL header comment describes superseded state
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### Location
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`code/include/CGAL/Discrete_conformal_map.h` lines 14–16
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### Problem
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```cpp
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/// This header provides a single function — `discrete_conformal_map_euclidean`
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/// — that computes a Euclidean discrete-conformal flattening … Spherical and
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/// hyperbolic variants are scheduled for Phase 8b.2 once the Euclidean
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/// pattern is validated
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```
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But the file already contains `discrete_conformal_map_spherical()` and
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`discrete_conformal_map_hyper_ideal()` (and the other models). The comment
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describes Phase 8a state; the file is at Phase 8b-Lite.
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### Fix
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Update the `\file` Doxygen block at the top of `Discrete_conformal_map.h`:
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```cpp
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/*!
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\file CGAL/Discrete_conformal_map.h
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\ingroup PkgConformalMapRef
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User-facing entry points for the Discrete_conformal_map package.
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This header provides five functions covering all three DCE geometries:
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- `CGAL::discrete_conformal_map_euclidean` (flat / ℝ²)
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- `CGAL::discrete_conformal_map_spherical` (S², genus 0)
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- `CGAL::discrete_conformal_map_hyper_ideal` (H², genus ≥ 1)
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- `CGAL::discrete_circle_packing_euclidean` → Discrete_circle_packing.h
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- `CGAL::discrete_inversive_distance_map` → Discrete_inversive_distance.h
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...
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*/
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```
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### Acceptance criteria
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- [ ] `\file` doc block lists all five entry functions
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- [ ] No forward-reference to "planned Phase 8b.2" — it is already implemented
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---
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## FINDING-U6 — 🟡 STALE EXAMPLES: New gauge-vertex overload not reflected
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### Location
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- `README.md` lines 107–110
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- `code/examples/example_euclidean.cpp` lines 62–68
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- `code/examples/example_layout.cpp` lines 52–59 (`pin_first` helper)
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### Problem
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Finding-D (external-audit-2026-05-30) added a clean gauge-vertex overload:
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```cpp
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assign_euclidean_vertex_dof_indices(mesh, maps, gauge_vertex);
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```
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But all examples still use the old verbose loop:
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```cpp
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auto vit = mesh.vertices().begin();
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maps.v_idx[*vit++] = -1; // pinned
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int idx = 0;
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for (; vit != mesh.vertices().end(); ++vit)
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maps.v_idx[*vit] = idx++;
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```
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A new user copying from the examples will write the old error-prone pattern
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instead of the new clean overload — defeating the purpose of the fix.
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### Fix
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Replace the old loop in all three locations with the new overload:
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```cpp
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// Pin the first vertex, assign sequential DOF indices to the rest.
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int n = assign_euclidean_vertex_dof_indices(mesh, maps,
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*mesh.vertices().begin());
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```
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Same for `assign_vertex_dof_indices` (spherical) and
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`assign_inversive_distance_vertex_dof_indices` wherever they appear in examples.
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### Acceptance criteria
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- [ ] README "Minimal usage" uses the overload
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- [ ] `example_euclidean.cpp` uses the overload
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- [ ] `example_layout.cpp` `pin_first` helper replaced with the overload
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- [ ] Old manual loop removed from all user-facing code
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---
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## FINDING-U7 — 🟠 MISSING: `CONFORMALLAB_LOW_MEMORY_BUILD` absent from `getting-started.md`
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### Location
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`doc/getting-started.md` — "Build modes" section
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### Problem
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`getting-started.md` documents five compile-time modes but does not list
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`CONFORMALLAB_LOW_MEMORY_BUILD=ON`. A Raspberry Pi or low-RAM user who
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reads `getting-started.md` (the natural first stop) cannot find the flag.
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It only appears in CLAUDE.md and the README table.
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### Fix
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Add to `getting-started.md` after the `CONFORMALLAB_FAST_TEST_BUILD` entry:
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```markdown
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### Low-memory build (RAM-constrained CI / Raspberry Pi)
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For machines with ≤ 4 GB RAM, the default CGAL build (PCH + -O3) OOMs
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the compiler. `LOW_MEMORY_BUILD` uses `-O0`, disables PCH, and sets
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unity batch size to 1, keeping `cc1plus` peak at ~150-200 MB per TU:
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```bash
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cmake -S code -B build -DWITH_CGAL_TESTS=ON \
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-DCONFORMALLAB_LOW_MEMORY_BUILD=ON
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cmake --build build --target conformallab_cgal_tests -j1
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```
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Tests run ~15× slower at -O0 but all pass. Useful for CI runners with
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limited memory.
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```
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### Acceptance criteria
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- [ ] `getting-started.md` documents `CONFORMALLAB_LOW_MEMORY_BUILD`
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- [ ] Example command shows `-j1` (required for memory safety)
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---
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## FINDING-U8 — 🟠 MISSING: `LOW_MEMORY_BUILD` absent from README compile-time table
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### Location
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`README.md` lines 53–82 ("Compile-time workflow modes")
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### Problem
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|
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The README code block shows five compile-time patterns but omits
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`CONFORMALLAB_LOW_MEMORY_BUILD`. This is the flag that re-enabled CI
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and is directly relevant to anyone building on resource-constrained hardware.
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### Fix
|
||||
|
||||
Add to the README compile-time examples:
|
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```bash
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# Low-memory build: -O0, no PCH, unity batch 1 (~150 MB peak per cc1plus).
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# Use on Raspberry Pi / CI runners with ≤ 4 GB RAM. Tests run ~15× slower.
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||||
cmake -S code -B build -DWITH_CGAL_TESTS=ON -DCONFORMALLAB_LOW_MEMORY_BUILD=ON
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||||
cmake --build build --target conformallab_cgal_tests -j1
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||||
```
|
||||
|
||||
### Acceptance criteria
|
||||
- [ ] README shows `LOW_MEMORY_BUILD` usage with a one-line explanation
|
||||
|
||||
---
|
||||
|
||||
## FINDING-U9 — 🟠 MISSING: `layout.uv` indexing semantics not documented
|
||||
|
||||
### Location
|
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`code/examples/example_layout.cpp` line 127
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||||
`code/include/layout.hpp` — `Layout2D` struct definition
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||||
### Problem
|
||||
|
||||
```cpp
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auto& p = layout.uv[v.idx()]; // example_layout.cpp:127
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||||
```
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||||
`Layout2D.uv` is a `std::vector` indexed by the raw integer `.idx()` of
|
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`Vertex_index`. This is undocumented: nowhere is it stated that the vector
|
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length equals `num_vertices(mesh)` and that the index is contiguous. In CGAL,
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`vertex.idx()` is contiguous on a fresh `Surface_mesh` but may have gaps after
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vertex removals.
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The `halfedge_uv` field (also in `Layout2D`) has the same issue for halfedge
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indices.
|
||||
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||||
### Fix
|
||||
|
||||
In `layout.hpp`, add explicit documentation to the `Layout2D` struct:
|
||||
|
||||
```cpp
|
||||
struct Layout2D {
|
||||
/// UV coordinate of vertex v in the layout plane.
|
||||
/// Indexed by `v.idx()` — length equals `mesh.number_of_vertices()`.
|
||||
/// \pre No vertices have been removed from `mesh` since construction
|
||||
/// (i.e., `mesh.is_valid(false)` and no compaction was performed).
|
||||
std::vector<Eigen::Vector2d> uv;
|
||||
|
||||
/// UV of source(h) as seen from face(h), indexed by `h.idx()`.
|
||||
/// At seam halfedges the two opposite halfedges carry different UV values,
|
||||
/// enabling proper per-halfedge UV for GPU texture atlasing.
|
||||
std::vector<Eigen::Vector2d> halfedge_uv;
|
||||
...
|
||||
};
|
||||
```
|
||||
|
||||
Also update `example_layout.cpp` to add a comment:
|
||||
```cpp
|
||||
// layout.uv is indexed by v.idx() — valid as long as no vertices were
|
||||
// removed from the mesh after loading.
|
||||
auto& p = layout.uv[v.idx()];
|
||||
```
|
||||
|
||||
### Acceptance criteria
|
||||
- [ ] `Layout2D.uv` and `Layout2D.halfedge_uv` have explicit Doxygen docs
|
||||
stating the index semantics and the no-compaction precondition
|
||||
- [ ] `example_layout.cpp` has an inline comment at the access site
|
||||
|
||||
---
|
||||
|
||||
## Summary table
|
||||
|
||||
| ID | File | Type | Severity | Status |
|
||||
|----|------|------|----------|--------|
|
||||
| U1 | README + 4 examples | Usability | 🔴 Critical | 🟡 Open |
|
||||
| U2 | examples/ (missing) | Usability | 🔴 Critical | 🟡 Open |
|
||||
| U3 | `contracts.md:16` | Doc error | 🟡 Medium | 🟡 Open |
|
||||
| U4 | `README.md:17` | Stale | 🟡 Medium | 🟡 Open |
|
||||
| U5 | `Discrete_conformal_map.h:14` | Stale | 🟡 Medium | 🟡 Open |
|
||||
| U6 | README + 2 examples | Stale | 🟡 Medium | 🟡 Open |
|
||||
| U7 | `getting-started.md` | Missing | 🟠 Minor | 🟡 Open |
|
||||
| U8 | `README.md` | Missing | 🟠 Minor | 🟡 Open |
|
||||
| U9 | `layout.hpp` + example | Missing | 🟠 Minor | 🟡 Open |
|
||||
|
||||
**Priority order for fixing:**
|
||||
1. U1 + U2 (new examples — most impactful for new users)
|
||||
2. U3 (correctness — contracts.md wrong after Finding-B)
|
||||
3. U4 + U5 + U6 (stale content — quick fixes)
|
||||
4. U7 + U8 + U9 (missing docs — minor)
|
||||
Reference in New Issue
Block a user