Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/FixedPointBoundary.lean
Devin AI 0639eae30a chore(consolidation): integrate E8Sidon stack (PRs #79 #80 #81 #89) into one PR
Squash the four overlapping feature branches into a single change set against
main, eliminating cross-PR merge conflicts and the duplicated CI-fix scripts.

What this brings in (merge order #79 -> #80 -> #81 -> #89):
- #79 refactor(infra): shared utilities (4-Infrastructure/lib/*: q16, hashing,
  jsonl, fraction_utils) + the scripts/math-first/* validators that the
  math-check CI requires.
- #80 feat(lean): Semantics.E8Sidon (1025 lines) -- Eisenstein coefficient
  identity E4^2 = E8 and the Sidon framework. E4_sq_eq_E8_coeff is fully proved
  (all Fourier-coefficient extraction machine-checked); the single residual gap
  is pinned to E4_sq_eq_E8_qExpansion (Mathlib lacks the valence formula /
  dim M8 = 1). 4 sorries + 1 axiom (e8_additive_completeness), all TODO(lean-port).
- #81 refactor(lean): Float-free FixedPoint core (integer-only sqrt/log2/expNeg).
  E8Sidon.lean kept at #80's final 1025-line version (the #81 intermediate
  438-line copy was overridden by merge order).
- #89 feat(lean): Semantics.RRC.PolyFactorIdentity -- short-sleeve polynomial
  detection at the zerocopy limb boundary; now imports Semantics.E8Sidon for
  sigma3/sigma7/convolutionLHS (single source of truth) instead of inlining them.

Conflict resolution:
- flake.nix -> canonical rs-surface removal (Garnix shutdown).
- scripts/math-first/* -> byte-identical across branches, clean.
- .cursorrules / AGENTS.md -> unified; baselines + sorry inventory refreshed.

Verification:
- lake build (default aggregator): 3573 jobs, 0 errors.
- lake build Semantics.RRC.PolyFactorIdentity (E8Sidon + FixedPoint + PolyFactor):
  3655 jobs, 0 errors. Witnesses verified (sigma7 4 = 16513, convolutionLHS 6 = 2350).
- Python tests: 68/68 pass.

Note: the "Workers Builds: researchstack" check is a preexisting external
Cloudflare build unrelated to this change (no branch touches 4-Infrastructure/cloudflare/).

Build: 3573 jobs (default), 3655 jobs (narrow), 0 errors
Co-Authored-By: Allaun Silverfox <bigdataiscoming+9i37y6j2@protonmail.com>
2026-06-16 02:01:31 +00:00

89 lines
3.3 KiB
Text

import Semantics.FixedPoint
/-!
# FixedPointBoundary — Float ↔ Q16_16 / Q0_16 / Q0_64 conversion
These functions are **only** for the I/O boundary: parsing JSON, reading sensor
data, or displaying values in `#eval` witnesses. They must NOT be used in any
compute-path definition that feeds into a receipt, score, or gate.
The core `Semantics.FixedPoint` module is Float-free by design.
-/
namespace Semantics.FixedPoint
-- ═══════════════════════════════════════════════════════════════════════════
-- Q0.16 Float boundary
-- ═══════════════════════════════════════════════════════════════════════════
namespace Q0_16
def toFloat (q : Q0_16) : Float :=
Float.ofInt q.toInt / 32767.0
def ofFloat (f : Float) : Q0_16 :=
if f.isNaN then zero
else if f ≥ 1.0 then one
else if f ≤ -1.0 then neg one
else if f < 0.0 then
ofRawInt (-(Int.ofNat ((-f * 32767.0).round.toUInt16.toNat)))
else
ofRawInt (Int.ofNat ((f * 32767.0).round.toUInt16.toNat))
end Q0_16
-- ═══════════════════════════════════════════════════════════════════════════
-- Q16.16 Float boundary
-- ═══════════════════════════════════════════════════════════════════════════
namespace Q16_16
@[inline]
def ofFloat (f : Float) : Q16_16 :=
if f.isNaN || f ≥ 32768.0 then infinity
else if f ≤ -32768.0 then minVal
else if f < 0.0 then
ofRawInt (-(Int.ofNat ((-f * 65536.0).floor.toUInt32.toNat)))
else
ofRawInt (Int.ofNat ((f * 65536.0).floor.toUInt32.toNat))
@[inline]
def toFloat (q : Q16_16) : Float :=
Float.ofInt q.toInt / 65536.0
end Q16_16
-- ═══════════════════════════════════════════════════════════════════════════
-- Q0.64 Float boundary
-- ═══════════════════════════════════════════════════════════════════════════
def q0_64ScaleFloat : Float := 9223372036854775808.0
namespace Q0_64
def ofFloat (f : Float) : Q0_64 :=
if f.isNaN || f ≥ 1.0 then one
else if f ≤ -1.0 then ofRawInt q0_64MinRaw
else if f < 0.0 then
ofRawInt (-(Int.ofNat ((-f * q0_64ScaleFloat).floor.toUInt64.toNat)))
else
ofRawInt (Int.ofNat ((f * q0_64ScaleFloat).floor.toUInt64.toNat))
def toFloat (q : Q0_64) : Float :=
Float.ofInt q.toInt / q0_64ScaleFloat
end Q0_64
end Semantics.FixedPoint
namespace Semantics
namespace Q16_16
export FixedPoint.Q16_16 (ofFloat toFloat)
end Q16_16
namespace Q0_16
export FixedPoint.Q0_16 (toFloat ofFloat)
end Q0_16
namespace Q0_64
export FixedPoint.Q0_64 (ofFloat toFloat)
end Q0_64
end Semantics