docs: full Java library scan — new phases 9d/9e/10d–10g + parity table

Complete scan of all de.varylab.discreteconformal packages (functional/,
unwrapper/, unwrapper/circlepattern/, unwrapper/koebe/,
unwrapper/quasiisothermic/, uniformization/, util/) against the
current roadmap.

New items added to java-parity.md:
- ConesUtility: cone detection, BFS cut, auto-placement, quantization (9d)
- MobiusCenteringFunctional: variational Lösung über Lorentz-Geometrie (9d)
- ElectrostaticSphereFunctional: Initialisierungsheuristik auf S² (9d)
- StereographicUnwrapper + SphereUtility: S²→ℂ atlas für genus-0 (9d)
- CirclePatternLayout + CirclePatternUtility + CPEuclideanRotation (9e)
- CutAndGlueUtility, StitchingUtility, PathUtility (9c additions)
- DualityUtility: Hodge-Stern + dual cycles — prerequisite 10a
- HyperellipticUtility + HyperIdealHyperellipticUtility (10b)
- CircleDomainUnwrapper: Koebe-Andreev-Thurston (10d)
- quasiisothermic/ package: QI maps + DBF + sin-condition (10e)
- KoebePolyhedron (10f)
- EuclideanCyclicFunctional + HyperbolicCyclicFunctional (10g)
- "Do not port" table: ColtIterationReporter, PETSc wrappers, etc.

New phases added to phases.md:
- Phase 9d: ConesUtility + StereographicUnwrapper + MobiusCenteringFunctional
- Phase 9e: CirclePatternLayout (complement to already-ported 9a.1)
- Phase 10d: CircleDomainUnwrapper (Koebe-Andreev-Thurston)
- Phase 10e: quasi-isothermic maps
- Phase 10f: Koebe polyhedra
- Phase 10g: cyclic-symmetry functionals

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

doc/roadmap/java-parity.md

@@ -67,14 +67,91 @@ They are candidates for Phase 9 or Phase 10.
 
 Note: items marked as *new research* (e.g. Inversive Distance, HyperIdeal Hessian variants)
 are tracked separately in `doc/roadmap/research-track.md`.
-| `HomotopyUtility` | Homotopy generators | 9c |
-| `SpanningTreeUtility` | Spanning tree algorithms | 8 / infrastructure |
-| `SurgeryUtility` | Mesh surgery (cut/glue) | — |
-| `StitchingUtility` | Seam stitching | — |
-| `CuttingUtility` | Advanced cutting (beyond tree-cotree) | 9c |
-| `HyperellipticUtility` | Hyperelliptic surfaces | 10 |
-| `LaplaceUtility` | Discrete Laplace operators | 9 / infrastructure |
-| `ConformalStructureUtility` | Conformal structure extraction | 10 |
+
+---
+
+## Java packages not yet in the roadmap — 2026 full-library scan
+
+A complete scan of the Java source tree (`de.varylab.discreteconformal`) revealed the
+following packages and classes not yet covered by Phases 1–9c or the Phase-10 plan.
+Organised by value / effort.
+
+### Functional package (`de.varylab.discreteconformal.functional`)
+
+| Java class | What it does | Proposed phase |
+|---|---|---|
+| `ConesUtility` (in `unwrapper/`) | Cone singularity detection, BFS-path cutting from cone to boundary, auto-placement via conjugate gradient, quantization to π/2 / π/3 / π/6 — fills the "⚠️ data structure only" gap in the parity table | **9d** |
+| `MobiusCenteringFunctional` | Variational Möbius centering via Lorentz geometry: E = Σ log(−⟨x,p⟩/√(−⟨x,x⟩)). Supplies full gradient + Hessian — more principled than the iterative Fréchet mean in `normalise_hyperbolic()` | **9d** |
+| `ElectrostaticSphereFunctional` | Repulsive electrostatic energy on S² (E = Σ 0.5/d² + sphere constraint). Useful as initialization heuristic for spherical uniformization | **9d** (optional) |
+| `EuclideanCyclicFunctional` | Euclidean DCE functional reduced to a cyclic-symmetry quotient — reduces DOFs for surfaces with cyclic symmetry group | **10g** |
+| `HyperbolicCyclicFunctional` | Hyperbolic analogue of above | **10g** |
+
+### Circle pattern package (`de.varylab.discreteconformal.unwrapper.circlepattern`)
+
+| Java class | What it does | Proposed phase |
+|---|---|---|
+| `CirclePatternUtility` | Computes circle pattern radii (ρ per face) via Newton trust-region on CPEuclidean energy — the solver side | **9e** |
+| `CirclePatternLayout` | Embeds a circle pattern in the plane from the ρ values — the layout side. Required complement to `cp_euclidean_functional.hpp` already ported in 9a.1 | **9e** |
+| `CPEuclideanRotation` | Rotation-invariant variant of the CP-Euclidean functional | **9e** |
+
+### Uniformization package (`de.varylab.discreteconformal.uniformization`)
+
+| Java class | What it does | Proposed phase |
+|---|---|---|
+| `CutAndGlueUtility` | Mesh surgery beyond tree-cotree: arbitrary cut paths, gluing cut surfaces back together — needed for genus g > 1 canonical polygon construction | **9c** (add to existing plan) |
+| `VisualizationUtility` | Java/jReality specific — do not port | — |
+| `Uniformizer` | High-level pipeline driver — already covered by our CLI + pipeline API | — |
+
+### Unwrapper package — additional classes
+
+| Java class | What it does | Proposed phase |
+|---|---|---|
+| `StereographicUnwrapper` | Stereographic projection S²→ℂ∪{∞} + Möbius centring — converts spherical DCE output to 2-D atlas for genus-0 | **9d** |
+| `SphereUtility` | Sphere-specific utilities (area centroid, antipodal, normalization helpers) | **9d** |
+| `CircleDomainUnwrapper` | Conformal map of multiply-connected planar region onto disk-with-holes (Koebe-Andreev-Thurston) | **10d** |
+
+### Quasi-isothermic package (`de.varylab.discreteconformal.unwrapper.quasiisothermic`)
+
+Quasi-isothermic maps generalize conformal maps to meshes where exact conformality is impossible.
+Entirely absent from the current roadmap.
+
+| Java class | What it does | Proposed phase |
+|---|---|---|
+| `QuasiisothermicDelaunay` | Delaunay-conformal triangulation as QI preprocessing | **10e** |
+| `QuasiisothermicLayout` | Embedding from quasi-isothermic DOFs | **10e** |
+| `QuasiisothermicUtility` | Lawson-correspondence parameterization (~800 lines) | **10e** |
+| `DBFSolution` | Discrete Beltrami field solution | **10e** |
+| `SinConditionApplication` | Sin-condition functional for QI maps | **10e** |
+| `ConformalStructureUtility` | Conformal structure extraction from QI solution | **10e** |
+
+### Koebe package (`de.varylab.discreteconformal.unwrapper.koebe`)
+
+| Java class | What it does | Proposed phase |
+|---|---|---|
+| `KoebePolyhedron` | Koebe–Andreev–Thurston theorem: realization of every 3-connected planar graph as a convex polyhedron with edges tangent to the unit sphere (321 lines) | **10f** |
+
+### Util package — additional classes not yet in roadmap
+
+| Java class | What it does | Proposed phase |
+|---|---|---|
+| `DualityUtility` | Hodge-star operator + dual cycles via cotangent weights — **prerequisite for Phase 10a** (discrete holomorphic forms need the dual mesh) | **10a prerequisite** (consider 9c) |
+| `HyperellipticUtility` | Hyperelliptic surfaces (genus g ≥ 2 with Z₂ symmetry) — period matrix has block-diagonal structure | **10b** |
+| `HyperIdealHyperellipticUtility` | HyperIdeal variant for hyperelliptic surfaces | **10b** |
+| `PathUtility` | Mesh path operations — supporting infrastructure for Phase 9c homology basis | **9c** |
+| `LaplaceUtility` | Discrete Laplace operators (cotangent + combinatorial) | **9 / infrastructure** |
+| `EdgeUtility` | Edge orientation and classification helpers | **infrastructure** |
+| `StitchingUtility` | Seam stitching after cut-and-glue | **9c** |
+
+### Do not port — Java-specific or superseded
+
+| Java class | Reason |
+|---|---|
+| `ColtIterationReporterImpl` | Colt sparse matrix library — replaced by Eigen |
+| `NodeIndexComparator` | Java Comparator — replaced by `std::less` |
+| `SimpleMatrixPrintUtility` | Debug print — Eigen `.format()` is sufficient |
+| `EuclideanUnwrapperPETSc` / `SphericalNormalizerPETSc` | PETSc solver binding — replaced by Eigen |
+| `Search` | CoHDS-specific graph search — replaced by CGAL halfedge iteration |
+| `SparseUtility` | Colt sparse matrix utils — replaced by Eigen |
 
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