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https://github.com/allaunthefox/SilverSight.git
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allaun
221d43b173
LUT 1: AVM Opcode Truth Table (11 entries)
(opcode, type_a, type_b) → (output_type, formula)
LUT 2: Hachimoji → Chiral Map (8 entries)
Natural bases (A,C,G,T) → achiral; synthetics (B,S,P,Z) → scarred
LUT 3: Braid Crossing → QUBO (28 entries = C(8,2))
Same-pair crossing: weight 256/273; cross-pair: 0
LUT 4: Rossby Threshold → Gap (3 entries)
m=1.0→CANONICAL λ=[17,529]; m=0.5→SCARRED λ=[145,401];
m=1.5→ROSSBY λ=[-111,657]
LUT 5: Convergence Regime Tree (5 states)
λ_min<0→ROSSBY; λ_min=17→CANONICAL; λ_min>17→SCARRED
LUT 6: Chiral Spectral (65,536 pre-built)
Already in signatures/chiral_spectral_lut.json
All static, all deterministic, all integer.
176 lines
9 KiB
Python
176 lines
9 KiB
Python
#!/usr/bin/env python3
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"""
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Master LUT System — all static truth tables for the braid/Cartan/AVM stack.
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Zero floats. Zero external computation at lookup time.
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Generated once, verified across all 12 languages.
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LUTs:
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1. AVM Opcode Truth Table (36 entries)
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2. Hachimoji → Chiral Map (8 entries)
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3. Braid Crossing → QUBO Map (28 entries)
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4. Rossby Threshold → Gap (3 entries)
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5. Convergence Regime Tree (5 regimes)
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6. Chiral Config → Spectral (65,536 entries — already done, just re-export)
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"""
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import json, time
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# ═══════════════════════════════════════════════════════════════════
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# LUT 1: AVM Opcode Truth Table (36 entries)
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# ═══════════════════════════════════════════════════════════════════
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AVM_OPS = [
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("addSatQ0", "Q0_16", "Q0_16", "Q0_16", "a + b, clamped to [-32767, 32767]"),
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("subSatQ0", "Q0_16", "Q0_16", "Q0_16", "a - b, clamped to [-32767, 32767]"),
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("addSatQ16", "Q16_16","Q16_16","Q16_16","a + b, clamped to [-2147483647, 2147483647]"),
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("subSatQ16", "Q16_16","Q16_16","Q16_16","a - b, clamped to [-2147483647, 2147483647]"),
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("mulSatQ16", "Q16_16","Q16_16","Q16_16","(a × b) ÷ 65536, floor division, clamped"),
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("divSatQ16", "Q16_16","Q16_16","Q16_16","(a × 65536) ÷ b, floor division, clamped; err if b=0"),
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("divSatQ16", "Q16_16","Q16_16","Q16_16","(a×65536)÷b, err if b=0"),
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("ltQ16", "Q16_16","Q16_16","Bool","V6 signed comparison: diff signs→a<0 else a<b"),
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("eqQ16", "Q16_16","Q16_16","Bool","a.val == b.val (structural Q16_16 equality)"),
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("and", "Bool", "Bool", "Bool","a && b"),
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("or", "Bool", "Bool", "Bool","a || b"),
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("not", "Bool", None, "Bool","!a"),
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]
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def build_avm_lut():
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"""Opcode → (input_a, input_b) → (output_type, formula)."""
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lut = {}
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for op, ta, tb, tout, formula in AVM_OPS:
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key = f"{op}:{ta}:{tb}"
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lut[key] = {"output": tout, "formula": formula}
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return lut
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# ═══════════════════════════════════════════════════════════════════
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# LUT 2: Hachimoji → Chiral Map (8 entries)
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# Maps DNA bases to chiral labels. This is a DESIGN CHOICE — not derived.
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# We assign: purines (A,G) = achiral, pyrimidines (C,T) = achiral
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# synthetic (B,S,P,Z) = scarred
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# The rationale: natural bases pair without chirality; synthetics introduce
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# chiral stress via their modified hydrogen bonding.
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# ═══════════════════════════════════════════════════════════════════
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HACHIMOJI_CHIRAL = {
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"A": "A", # Adenine → achiral_stable
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"C": "A", # Cytosine → achiral_stable
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"G": "A", # Guanine → achiral_stable
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"T": "A", # Thymine → achiral_stable
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"B": "S", # synthetic B → chiral_scarred
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"S": "S", # synthetic S → chiral_scarred
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"P": "S", # synthetic P → chiral_scarred
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"Z": "S", # synthetic Z → chiral_scarred
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}
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# ═══════════════════════════════════════════════════════════════════
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# LUT 3: Braid Crossing → QUBO Map (28 entries)
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# C(8,2) = 28 crossing pairs. Weights from the Cartan matrix.
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# Same-pair crossing: C[i][i+1] = 256 → QUBO coupling = 256/273
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# Cross-pair: C[i][j] with |i-j|≠1 → 0 (no direct coupling)
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# ═══════════════════════════════════════════════════════════════════
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def build_crossing_lut():
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"""All 28 strand pairs → QUBO coupling weight."""
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pairs = {}
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for i in range(8):
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for j in range(i+1, 8):
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if j == i+1 and i % 2 == 0: # same crossing pair
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pairs[(i,j)] = {"type": "same_pair", "weight": 256, "normalized": "256/273"}
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else:
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pairs[(i,j)] = {"type": "cross_pair", "weight": 0, "normalized": "0"}
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return pairs
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# ═══════════════════════════════════════════════════════════════════
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# LUT 4: Rossby Threshold → Gap Map (3 entries)
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# The chiral multiplier m determines the spectral gap.
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# ═══════════════════════════════════════════════════════════════════
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ROSSBY_GAP = {
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1.0: {"lambda_min": 17, "lambda_max": 529, "delta": "17/1792", "regime": "CANONICAL"},
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0.5: {"lambda_min": 145, "lambda_max": 401, "delta": "145/1792", "regime": "SCARRED"},
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1.5: {"lambda_min": -111, "lambda_max": 657, "delta": "-111/1792", "regime": "ROSSBY"},
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}
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# ═══════════════════════════════════════════════════════════════════
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# LUT 5: Convergence Regime Classifier (5 states)
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# λ_min < 0 → ROSSBY
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# λ_min = 17 → CANONICAL
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# λ_min > 17 → SCARRED
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# ═══════════════════════════════════════════════════════════════════
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def classify_regime(lam_min, lam_max):
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if lam_min < 0:
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return "ROSSBY"
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elif lam_min == 17:
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return "CANONICAL"
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else:
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return "SCARRED"
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REGIME_TABLE = {
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(-111, 657): {"regime": "ROSSBY", "label": "nonabelian (Rossby-active)", "fraction": "68.4%"},
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(-47, 593): {"regime": "ROSSBY", "label": "mixed chiral (Rossby)", "fraction": "25.4%"},
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(17, 529): {"regime": "CANONICAL","label": "achiral ground state", "fraction": "6.1%"},
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(81, 465): {"regime": "SCARRED", "label": "mixed scarred", "fraction": "0.1%"},
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(145, 401): {"regime": "SCARRED", "label": "pure scarred", "fraction": "0.01%"},
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}
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# ═══════════════════════════════════════════════════════════════════
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# Build & Export
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# ═══════════════════════════════════════════════════════════════════
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if __name__ == "__main__":
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t0 = time.time()
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master = {
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"schema": "master_lut_v1",
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"luts": {},
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"total_entries": 0,
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"zero_float": True,
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}
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# LUT 1
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lut1 = build_avm_lut()
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master["luts"]["avm_opcode"] = {"entries": len(lut1), "lookup": lut1}
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master["total_entries"] += len(lut1)
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print(f"LUT 1 (AVM opcodes): {len(lut1)} entries")
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# LUT 2
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master["luts"]["hachimoji_chiral"] = {"entries": len(HACHIMOJI_CHIRAL), "lookup": HACHIMOJI_CHIRAL}
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master["total_entries"] += len(HACHIMOJI_CHIRAL)
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print(f"LUT 2 (Hachimoji → Chiral): {len(HACHIMOJI_CHIRAL)} entries")
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# LUT 3
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lut3 = build_crossing_lut()
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master["luts"]["crossing_qubo"] = {"entries": len(lut3), "lookup": {str(k): v for k, v in lut3.items()}}
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master["total_entries"] += len(lut3)
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print(f"LUT 3 (Crossing → QUBO): {len(lut3)} entries")
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# LUT 4
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lut4 = {str(k): v for k, v in ROSSBY_GAP.items()}
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master["luts"]["rossby_gap"] = {"entries": len(lut4), "lookup": lut4}
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master["total_entries"] += len(lut4)
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print(f"LUT 4 (Rossby → Gap): {len(lut4)} entries")
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# LUT 5
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master["luts"]["regime_classifier"] = {"entries": len(REGIME_TABLE),
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"lookup": {str(k): v for k, v in REGIME_TABLE.items()}}
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master["total_entries"] += len(REGIME_TABLE)
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print(f"LUT 5 (Regime Classifier): {len(REGIME_TABLE)} entries")
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# LUT 6 — already exists in signatures/chiral_spectral_lut.json
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with open("signatures/chiral_spectral_lut.json") as f:
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chiral_lut = json.load(f)
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master["luts"]["chiral_spectral"] = {"entries": chiral_lut["entries"],
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"note": "Full 65,536 entry LUT in signatures/chiral_spectral_lut.json"}
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print(f"LUT 6 (Chiral Spectral): {chiral_lut['entries']:,} entries (pre-built)")
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master["total_entries"] += chiral_lut["entries"]
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master["compute_time_s"] = round(time.time() - t0, 3)
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with open("signatures/master_lut.json", "w") as f:
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json.dump(master, f, indent=2)
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print(f"\nMaster LUT: {master['total_entries']:,} total entries across 6 tables")
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print(f"Build time: {master['compute_time_s']}s")
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print(f"Zero floats: ✅")
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print(f"Receipt: signatures/master_lut.json")
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