2 commits

Author	SHA1	Message	Date
allaunthefox	cd91eca22f	fix: address 3 bugs from spectral codebook review ... Bug 1: Phinary packing not injective (integration_sprint.py) - Old: float accumulation (phinary += c * PHI^(-i)) loses precision - New: integer positional packing with provable injectivity - Integer coefficients: base = max(|coeff|) + 1 - Float coefficients: quantize to 16-bit, pack in base 65536 - Round-trip is now guaranteed injective Bug 2: Torus winding saturates at n >= 65536 (pist_braid_bridge.py) - spiral_to_torus_winding stores b = n//2 as Q16.16, clamps at 32768 - Added spiral_to_torus_winding_safe() with saturation detection - Returns (winding, saturated) tuple so callers can handle overflow - Documented the limitation in docstrings Bug 3: Power iteration non-convergence (pist_braid_bridge.py + MatrixN.lean) - power_iteration_q16 now returns (eigenvalue, converged) tuple - Detects oscillation via Rayleigh quotient stability check - Added exact_eigenvalue_q16() fallback using numpy - compute_pist_spectral auto-falls-back on non-convergence - Lean MatrixN.lean: documented known limitation in docstring All 3 bugs are from the independent review by Claude Fable.	2026-07-01 21:08:41 +00:00
Allaun Silverfox	1ea9b9a75b	feat(bridge): PIST + Braid bridge — sprint results to Lean formalism ... - Q16_16 fixed-point arithmetic matching Lean SilverSight.FixedPoint - PIST.Spectral bridge: float eigenvalues → Q16_16 → SpectralProfile - Torus winding: spiral index → T² (a,b) winding counts - PIST field: 4-mode receipts → B/G/A/P operator - Eigensolid convergence check (cross-mode agreement) - Golden centering compression (φ⁻¹ = 40560) - Φ-corkscrew ↔ Q16_16 roundtrip	2026-06-23 04:16:43 -05:00