mesh: exact predicates (Shewchuk adaptive, symbolic perturbation, indirect LPI/TPI) (#8)

* mesh: exact predicates (Shewchuk adaptive orient/incircle/insphere), symbolic perturbation, indirect LPI/TPI predicates

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* mesh: predicate benchmark (filter hit rate, CAD-degenerate inputs); record the predicate decision

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* mesh: simplify predicates (destructuring over fallbacks, shared-minor exact insphere, cheaper expansion product)

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

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Co-authored-by: jyviko <[email protected]>
Co-authored-by: Claude Opus 5.5 <[email protected]>
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authored and GitHub committed 2026-10-13 15:04:56 -04:00
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| Milestone | Scope | Status |
|---|---|---|
| M0 Foundation | Workspace, quality gates (`cargo xtask ci`), FE model, command engine with rollback and panic guard, CLI, geometry boundary on SolidCraft's kernel and tessellator | done |
| M1 Surface preparation | Geometry in: open `.solidcraft` designs, rebuilt by SolidCraft, with persistent face names (done); face-tagged 3MF files (`geometry.import.mesh`, docs/formats/tagged-mesh.md, done); robust adaptive-precision predicates; weld, closed/manifold/orientation checks and feature edges on the tessellated boundary; mesh quality metrics | in progress |
| M1 Surface preparation | Geometry in: open `.solidcraft` designs, rebuilt by SolidCraft, with persistent face names (done); face-tagged 3MF files (`geometry.import.mesh`, docs/formats/tagged-mesh.md, done); exact predicates (Shewchuk adaptive, symbolic perturbation, indirect LPI/TPI, done); weld, closed/manifold/orientation checks and feature edges on the tessellated boundary; mesh quality metrics | in progress |
| M2 Tetrahedral meshing | Bowyer–Watson Delaunay, robust constrained Delaunay boundary recovery (Diazzi et al. 2023), Delaunay refinement to a size field, ODT smoothing, Klingner–Shewchuk sliver removal; linear and quadratic tets | planned |
| M3 Hexahedral meshing (core) | Octree/grid dual all-hex (valid on any input), then hex-dominant by tet recombination, then polycube for blocky parts; see docs/meshing/literature.md | planned |
| M4 Model definition | Materials, sections, sets and surfaces, boundary conditions, loads, steps, output requests | planned |