mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
258 lines
8.5 KiB
Python
258 lines
8.5 KiB
Python
#!/usr/bin/env python3
|
|
"""
|
|
Wolfram Alpha Math Verification for FieldEquationIntegration.lean
|
|
|
|
Extracts and verifies mathematical equations from the FieldEquationIntegration module.
|
|
"""
|
|
|
|
import os
|
|
import sys
|
|
import json
|
|
import urllib.request
|
|
import urllib.error
|
|
import time
|
|
from pathlib import Path
|
|
|
|
from dotenv import load_dotenv
|
|
load_dotenv(Path(__file__).parent.parent.parent / ".env")
|
|
|
|
# Add parent directory to path
|
|
sys.path.insert(0, str(Path(__file__).parent.parent.parent))
|
|
sys.path.insert(0, str(Path(__file__).parent.parent.parent / "4-Infrastructure"))
|
|
sys.path.insert(0, str(Path(__file__).parent.parent.parent / "0-Core-Formalism"))
|
|
sys.path.insert(0, str(Path(__file__).parent.parent.parent / "4-Infrastructure" / "infra"))
|
|
|
|
try:
|
|
from infra.ene_cloud_credential_manager import ENECloudCredentialManager
|
|
except ImportError as e:
|
|
print(f"Import failed: {e}")
|
|
sys.exit(1)
|
|
|
|
class WolframAlphaVerifier:
|
|
"""Wolfram Alpha API client for mathematical verification."""
|
|
|
|
BASE_URL = "http://api.wolframalpha.com/v2/query"
|
|
|
|
def __init__(self, app_id: str):
|
|
self.app_id = app_id
|
|
|
|
def query(self, input_expr: str, format: str = "plaintext", output: str = "JSON") -> dict:
|
|
"""Query Wolfram Alpha API."""
|
|
params = {
|
|
"input": input_expr,
|
|
"format": format,
|
|
"output": output,
|
|
"appid": self.app_id
|
|
}
|
|
|
|
url = f"{self.BASE_URL}?{urllib.parse.urlencode(params)}"
|
|
|
|
try:
|
|
with urllib.request.urlopen(url, timeout=30) as response:
|
|
data = json.loads(response.read().decode('utf-8'))
|
|
return data
|
|
except urllib.error.HTTPError as e:
|
|
return {"error": f"HTTP Error {e.code}: {e.reason}"}
|
|
except urllib.error.URLError as e:
|
|
return {"error": f"URL Error: {e.reason}"}
|
|
except Exception as e:
|
|
return {"error": str(e)}
|
|
|
|
def verify_equation(self, equation: str, description: str) -> dict:
|
|
"""Verify a mathematical equation."""
|
|
print(f"\n🔍 Verifying: {description}")
|
|
print(f" Equation: {equation}")
|
|
result = self.query(equation)
|
|
|
|
if "error" in result:
|
|
print(f"❌ Error: {result['error']}")
|
|
return {
|
|
"equation": equation,
|
|
"description": description,
|
|
"status": "error",
|
|
"error": result["error"]
|
|
}
|
|
|
|
# Check if query was successful
|
|
if result.get("queryresult", {}).get("success"):
|
|
pods = result["queryresult"].get("pods", [])
|
|
|
|
# Extract primary result
|
|
primary_result = None
|
|
for pod in pods:
|
|
if pod.get("primary"):
|
|
subpods = pod.get("subpods", [])
|
|
if subpods:
|
|
primary_result = subpods[0].get("plaintext", "")
|
|
break
|
|
|
|
if primary_result:
|
|
print(f"✅ Result: {primary_result}")
|
|
return {
|
|
"equation": equation,
|
|
"description": description,
|
|
"status": "verified",
|
|
"result": primary_result,
|
|
"pods": len(pods)
|
|
}
|
|
else:
|
|
print(f"⚠️ Query succeeded but no primary result")
|
|
return {
|
|
"equation": equation,
|
|
"description": description,
|
|
"status": "partial",
|
|
"pods": len(pods)
|
|
}
|
|
else:
|
|
print(f"❌ Query failed")
|
|
return {
|
|
"equation": equation,
|
|
"description": description,
|
|
"status": "failed"
|
|
}
|
|
|
|
def main():
|
|
print("=" * 70)
|
|
print("WOLFRAM ALPHA MATH VERIFICATION - FieldEquationIntegration.lean")
|
|
print("=" * 70)
|
|
|
|
# Initialize ENE credential manager
|
|
try:
|
|
ene = ENECloudCredentialManager()
|
|
print("ENE credential manager initialized")
|
|
except Exception as e:
|
|
print(f"ENE initialization failed: {e}")
|
|
sys.exit(1)
|
|
|
|
# Retrieve Wolfram Alpha credential from ENE
|
|
print("\nRetrieving Wolfram Alpha credential from ENE...")
|
|
wolfram_creds = None
|
|
for cred_id, cred in ene.credentials.items():
|
|
if cred.provider == "wolfram_alpha":
|
|
wolfram_creds = cred
|
|
break
|
|
|
|
if not wolfram_creds:
|
|
print("❌ Wolfram Alpha credential not found in ENE")
|
|
sys.exit(1)
|
|
|
|
print(f"✅ Found credential: {wolfram_creds.credential_id}")
|
|
|
|
# Load App ID from environment
|
|
app_id = os.getenv("WOLFRAM_ALPHA_APPID", "")
|
|
if not app_id:
|
|
print("❌ WOLFRAM_ALPHA_APPID not found in environment")
|
|
sys.exit(1)
|
|
print(f"✅ App ID loaded from environment")
|
|
|
|
# Initialize Wolfram Alpha verifier
|
|
verifier = WolframAlphaVerifier(app_id)
|
|
|
|
# Equations from FieldEquationIntegration.lean
|
|
equations = [
|
|
# Unified field equation
|
|
{
|
|
"equation": "(F + Phi + C + D) / 4",
|
|
"description": "Unified field equation composite (Ψ = (1/4)[F ⊗ Φ ⊗ C ⊗ D])"
|
|
},
|
|
|
|
# Weighted composite - use numeric example
|
|
{
|
|
"equation": "(10*2 + 20*3 + 30*4 + 40*5) / 4",
|
|
"description": "Weighted composite with field weights (numeric example)"
|
|
},
|
|
|
|
# Pentagonal closure
|
|
{
|
|
"equation": "F + Phi + C + D + sigma",
|
|
"description": "Pentagonal square closure (sum of corners plus center)"
|
|
},
|
|
|
|
# Pentagonal balance condition
|
|
{
|
|
"equation": "sigma * 4 = F + Phi + C + D",
|
|
"description": "Pentagonal square balance (center equals average of corners)"
|
|
},
|
|
|
|
# Near-miss error (simplified)
|
|
{
|
|
"equation": "abs(x + y - z)",
|
|
"description": "Near-miss error function (simplified Fermat equation)"
|
|
},
|
|
|
|
# Average error
|
|
{
|
|
"equation": "(epsilon1 + epsilon2 + epsilon3 + epsilon4) / 4",
|
|
"description": "Average near-miss error over 4 points"
|
|
},
|
|
|
|
# Tension function
|
|
{
|
|
"equation": "abs(epsilon - mu) + 1 / (abs(epsilon - mu) + delta)",
|
|
"description": "Tension function for near-miss detection"
|
|
},
|
|
|
|
# XOR operation (for MMR hash)
|
|
{
|
|
"equation": "a XOR b",
|
|
"description": "XOR operation for MMR hash computation"
|
|
},
|
|
|
|
# Modulus operation (for hash) - use numeric example
|
|
{
|
|
"equation": "(100 * 31 + 17) mod 256",
|
|
"description": "Modulus-based hash function (numeric example)"
|
|
},
|
|
|
|
# Stabilization formula - use numeric example
|
|
{
|
|
"equation": "(10 * 5 + 20) / (5 + 1)",
|
|
"description": "Web constraint stabilization formula (numeric example)"
|
|
}
|
|
]
|
|
|
|
print(f"\nVerifying {len(equations)} equations from FieldEquationIntegration.lean...")
|
|
|
|
results = []
|
|
for i, eq in enumerate(equations):
|
|
result = verifier.verify_equation(eq["equation"], eq["description"])
|
|
results.append(result)
|
|
# Add delay between requests to avoid rate limiting
|
|
if i < len(equations) - 1:
|
|
time.sleep(2)
|
|
|
|
# Summary
|
|
print("\n" + "=" * 70)
|
|
print("VERIFICATION SUMMARY")
|
|
print("=" * 70)
|
|
|
|
verified = sum(1 for r in results if r["status"] == "verified")
|
|
failed = sum(1 for r in results if r["status"] in ["error", "failed"])
|
|
partial = sum(1 for r in results if r["status"] == "partial")
|
|
|
|
print(f"Total equations: {len(equations)}")
|
|
print(f"✅ Verified: {verified}")
|
|
print(f"⚠️ Partial: {partial}")
|
|
print(f"❌ Failed: {failed}")
|
|
|
|
# Save results to file
|
|
output_file = Path("shared-data/data/field_equation_wolfram_verification.json")
|
|
output_file.parent.mkdir(parents=True, exist_ok=True)
|
|
|
|
with open(output_file, 'w') as f:
|
|
json.dump({
|
|
"module": "FieldEquationIntegration.lean",
|
|
"app_id": app_id,
|
|
"timestamp": Path(__file__).stat().st_mtime,
|
|
"total": len(equations),
|
|
"verified": verified,
|
|
"failed": failed,
|
|
"partial": partial,
|
|
"results": results
|
|
}, f, indent=2)
|
|
|
|
print(f"\nResults saved to: {output_file}")
|
|
print("=" * 70)
|
|
|
|
if __name__ == "__main__":
|
|
main()
|