doc(roadmap): add research item for 2/3-ideal hyper-ideal volume formulas
Follow-up to the Finding-A fix (face_energy guard). The throw is the correct safe behaviour for now; the mathematically complete solution requires formulas for semi-ideal and fully-ideal tetrahedra that are absent from the Java reference. Adds a structured research entry to research-track.md (Phase 9b+): - primary references: Kolpakov-Mednykh arXiv:math/0603097, Milnor 1982, Vinberg 1985 - acceptance criteria: two new volume functions + gradient-check tests + limiting-behaviour continuity witness - explicit note that the throw in face_energy() must not be removed without implementing and testing the replacement formulas Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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@@ -170,6 +170,12 @@ Instead it:
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**Test result:** 262/262 CGAL tests pass (was 246 before + 3 new guard tests + 13 from
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prior suite growth). No regressions.
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**Further work:** Implementing the *correct* volume formulas for 2-ideal and 3-ideal
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faces is a separate research item (not a port — Java does not have them either).
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It is now tracked in `doc/roadmap/research-track.md` under
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"Hyper-ideal volume formulas for 2- and 3-ideal-vertex faces (Phase 9b+)".
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The `throw` remains the correct safe behaviour until that research item is resolved.
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### Acceptance criteria
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- [x] All 8 cases (2³ combinations) are either correct or throw explicitly
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- [x] Three new tests cover the three guard cases
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