docs(hf): add 32_8D_Octonion_Hypercube/run_proof.py matching whitepaper standard

32_8D_Octonion_Hypercube/run_proof.py

@@ -0,0 +1,90 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Class 32: 8D Octonion Hypercube Engine (Z-8D Octagram) Standalone Verifier
+Executes a 100,000-sample randomized roundtrip stress test on 32-bit atomic DWORD packing.
+"""
+
+import struct
+import random
+import time
+
+class Concept8D:
+    def __init__(self, domain, subdomain, operation, modality, strength, polarity, temporal, certainty):
+        self.domain = domain & 0x0F
+        self.subdomain = subdomain & 0x0F
+        self.operation = operation & 0x0F
+        self.modality = modality & 0x0F
+        self.strength = strength & 0x0F
+        self.polarity = polarity & 0x0F
+        self.temporal = temporal & 0x0F
+        self.certainty = certainty & 0x0F
+
+    def to_dword(self):
+        rc = (self.domain << 4) | self.subdomain
+        rf = (self.operation << 4) | self.modality
+        ra = (self.strength << 4) | self.polarity
+        rt = (self.temporal << 4) | self.certainty
+        return (rc << 24) | (rf << 16) | (ra << 8) | rt
+
+    @classmethod
+    def from_dword(cls, dword):
+        rc = (dword >> 24) & 0xFF
+        rf = (dword >> 16) & 0xFF
+        ra = (dword >> 8) & 0xFF
+        rt = dword & 0xFF
+        return cls(
+            domain=(rc >> 4) & 0x0F,
+            subdomain=rc & 0x0F,
+            operation=(rf >> 4) & 0x0F,
+            modality=rf & 0x0F,
+            strength=(ra >> 4) & 0x0F,
+            polarity=ra & 0x0F,
+            temporal=(rt >> 4) & 0x0F,
+            certainty=rt & 0x0F,
+        )
+
+def test_proof():
+    print("=" * 65)
+    print("  ZYMATICA CLASS 32: 8D OCTONION HYPERCUBE ENGINE (Z-8D)")
+    print("=" * 65)
+
+    # 1. Test 8D Bedrock Damper Event with Temporal Prediction and zk-Proof Certainty
+    # Domain: Subterranean Granite (0x2)
+    # Subdomain: Anchor Bolt #4 (0x8)
+    # Operation: Shear Dampening (0x5)
+    # Modality: Infrasound (0x1)
+    # Strength: Critical (0xE)
+    # Polarity: Yin (0x3)
+    # Temporal: Predictive Future +10ms (0xC)
+    # Certainty: Groth16 zk-Proof Verified (0xF)
+    c_bedrock = Concept8D(2, 8, 5, 1, 14, 3, 12, 15)
+    dword = c_bedrock.to_dword()
+    print(f"[+] 8D Concept Packed to 32-Bit Atomic DWORD: 0x{dword:08X} (4 Bytes)")
+    assert dword == 0x2851E3CF, "Exact 32-bit hex match"
+
+    c_recovered = Concept8D.from_dword(dword)
+    assert c_recovered.domain == 2 and c_recovered.temporal == 12 and c_recovered.certainty == 15
+    print("[+] 100% Exact 8D Atomic Decomposition: PASS")
+
+    # 2. 100,000-Sample Stress Test
+    print("\n[*] Running 100,000-Sample Randomized 8D Roundtrip Stress Test...")
+    t0 = time.perf_counter()
+    for _ in range(100_000):
+        vals = [random.randint(0, 15) for _ in range(8)]
+        c = Concept8D(*vals)
+        dw = c.to_dword()
+        rec = Concept8D.from_dword(dw)
+        assert rec.domain == vals[0] and rec.subdomain == vals[1]
+        assert rec.operation == vals[2] and rec.modality == vals[3]
+        assert rec.strength == vals[4] and rec.polarity == vals[5]
+        assert rec.temporal == vals[6] and rec.certainty == vals[7]
+    elapsed = time.perf_counter() - t0
+    rate = 100_000 / elapsed
+
+    print(f"[+] Processed 100,000 8D Concepts in {elapsed*1000:.2f} ms ({rate:,.0f} concepts/sec)")
+    print("\n[PASS] CLASS 32 VERIFICATION: 100% 8D ATOMIC LOSSLESS STABILITY PROVEN!")
+    print("=" * 65)
+
+if __name__ == "__main__":
+    test_proof()