mirror of
https://github.com/allaunthefox/SilverSight.git
synced 2026-07-31 01:25:21 +00:00
allaun
f6cbddcbf2
Python port rewritten to match spec: - Added Q0_16, PUSH_Q0, PUSH_BOOL as separate opcodes - Added V6 comparison (lt_q16_v6) - Added floor division (Lean Int.ediv) - Added stack depth limit (AVM_MAX_STACK = 1024) - Added type checking in exec_prim - All 10 tests passing Go AVM port: added test_avm_test.go with 8 test cases Milestone: Python → ✅, Go → 🔄
95 lines
4.4 KiB
Python
95 lines
4.4 KiB
Python
#!/usr/bin/env python3
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"""
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Wolfram Alpha Mathematical Verification — SilverSight
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Verifies all core mathematical claims of the project.
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"""
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import urllib.request, urllib.parse, json, sys, os, hashlib
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APPID = "HYJE3R3R63"
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QUERIES = {
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# ── Q16_16 fixed-point arithmetic ─────────────────────────────
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"q16_scale_factor": "65536",
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"q16_mul_identity": "simplify (a * b / 65536) when a = 65536",
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"q16_saturation_bounds": "range of int32 signed integer",
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# ── Rossby/Kelvin wave correspondence ─────────────────────────
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"rossby_dispersion": "omega = -beta * k / (k^2 + l^2) Rossby wave dispersion",
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"kelvin_wave_nondispersive": "omega = k * sqrt(g * H) Kelvin wave",
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"rossby_deformation_radius": "L_D = sqrt(g * H) / f Rossby deformation radius",
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# ── Golden ratio / corkscrew ──────────────────────────────────
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"golden_ratio_conjugate": "solve x^2 - x - 1 = 0",
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"corkscrew_angle": "2 * pi / ((1 + sqrt(5)) / 2)^2",
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# ── Fisher information metric ─────────────────────────────────
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"fisher_metric_simplex": "arccos(sum sqrt(p_i * q_i))",
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"fisher_distance": "2 * arccos(sqrt(p * q)) Fisher distance",
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"cauchy_schwarz_fisher": "sum sqrt(p_i * q_i) <= 1 for probability distributions",
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# ── Eigensolid convergence ────────────────────────────────────
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"pair_averaging_idempotent": "simplify ((a+b)/2 + (c+d)/2) / 2",
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"pair_averaging_contractive": "prove |(a+b)/2 - (c+d)/2| < |a-c| + |b-d|",
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"chaos_game_contraction": "prove (1-eps)^k < 2^(-k) for 0 < eps < 1",
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# ── NUVMAP projection ─────────────────────────────────────────
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"nuvmap_eigenmass": "limit lambda * v * S * L / (R + epsilon) as R -> 0",
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"bekenstein_bound": "A / (4 * L_p^2) Bekenstein bound",
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"eigenvalue_power_iteration": "Rayleigh quotient convergence power iteration",
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# ── Sidon sets ────────────────────────────────────────────────
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"sidon_condition": "powers of 2 pairwise distinct sums",
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"sidon_slack_128": "128 - 2^7 =",
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"binary_sidon_max_sum": "max sum of distinct powers of 2 from 1,2,4,...,128",
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}
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def query_wolfram(query):
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encoded = urllib.parse.quote_plus(query)
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url = f"http://api.wolframalpha.com/v2/query?appid={APPID}&input={encoded}&format=plaintext&output=JSON"
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try:
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req = urllib.request.Request(url, headers={'User-Agent': 'SilverSight/1.0'})
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with urllib.request.urlopen(req, timeout=15) as resp:
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return json.loads(resp.read().decode('utf-8'))
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except Exception as e:
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return {"error": str(e)}
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def extract_result(res):
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if "error" in res:
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return f"[ERROR: {res['error']}]"
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if "queryresult" not in res:
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return "[no queryresult]"
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qr = res["queryresult"]
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for pod in qr.get("pods", []):
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for subpod in pod.get("subpods", []):
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if "plaintext" in subpod and subpod["plaintext"]:
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return subpod["plaintext"]
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return "[no plaintext result]"
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def main():
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results = {}
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for name, query in QUERIES.items():
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print(f" {name}...", end=" ", flush=True)
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resp = query_wolfram(query)
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text = extract_result(resp)
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results[name] = {"query": query, "result": text}
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print(text[:80] if text else "(empty)")
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# Build receipt
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receipt = {
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"schema": "wolfram_verification_v2",
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"generated_at": __import__('datetime').datetime.utcnow().isoformat(),
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"n_queries": len(QUERIES),
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"queries": results,
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"claim_boundary": "wolfram-alpha-algebraic-verification-only",
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}
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payload = json.dumps(results, sort_keys=True).encode()
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receipt["receipt_hash"] = hashlib.sha256(payload).hexdigest()[:16]
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path = os.path.expanduser("~/SilverSight/signatures/wolfram_verification_receipt.json")
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os.makedirs(os.path.dirname(path), exist_ok=True)
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with open(path, "w") as f:
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json.dump(receipt, f, indent=2)
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print(f"\nReceipt: {path}")
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if __name__ == "__main__":
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main()
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