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| """
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| Class 32: 8D Octonion Hypercube Engine (Z-8D Octagram) Standalone Verifier
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| Executes a 100,000-sample randomized roundtrip stress test on 32-bit atomic DWORD packing.
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| """
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| import struct
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| import random
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| import time
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| class Concept8D:
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| def __init__(self, domain, subdomain, operation, modality, strength, polarity, temporal, certainty):
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| self.domain = domain & 0x0F
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| self.subdomain = subdomain & 0x0F
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| self.operation = operation & 0x0F
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| self.modality = modality & 0x0F
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| self.strength = strength & 0x0F
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| self.polarity = polarity & 0x0F
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| self.temporal = temporal & 0x0F
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| self.certainty = certainty & 0x0F
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| def to_dword(self):
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| rc = (self.domain << 4) | self.subdomain
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| rf = (self.operation << 4) | self.modality
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| ra = (self.strength << 4) | self.polarity
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| rt = (self.temporal << 4) | self.certainty
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| return (rc << 24) | (rf << 16) | (ra << 8) | rt
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| @classmethod
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| def from_dword(cls, dword):
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| rc = (dword >> 24) & 0xFF
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| rf = (dword >> 16) & 0xFF
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| ra = (dword >> 8) & 0xFF
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| rt = dword & 0xFF
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| return cls(
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| domain=(rc >> 4) & 0x0F,
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| subdomain=rc & 0x0F,
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| operation=(rf >> 4) & 0x0F,
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| modality=rf & 0x0F,
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| strength=(ra >> 4) & 0x0F,
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| polarity=ra & 0x0F,
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| temporal=(rt >> 4) & 0x0F,
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| certainty=rt & 0x0F,
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| )
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| def test_proof():
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| print("=" * 65)
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| print(" ZYMATICA CLASS 32: 8D OCTONION HYPERCUBE ENGINE (Z-8D)")
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| print("=" * 65)
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| c_bedrock = Concept8D(2, 8, 5, 1, 14, 3, 12, 15)
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| dword = c_bedrock.to_dword()
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| print(f"[+] 8D Concept Packed to 32-Bit Atomic DWORD: 0x{dword:08X} (4 Bytes)")
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| assert dword == 0x2851E3CF, "Exact 32-bit hex match"
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| c_recovered = Concept8D.from_dword(dword)
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| assert c_recovered.domain == 2 and c_recovered.temporal == 12 and c_recovered.certainty == 15
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| print("[+] 100% Exact 8D Atomic Decomposition: PASS")
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| print("\n[*] Running 100,000-Sample Randomized 8D Roundtrip Stress Test...")
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| t0 = time.perf_counter()
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| for _ in range(100_000):
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| vals = [random.randint(0, 15) for _ in range(8)]
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| c = Concept8D(*vals)
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| dw = c.to_dword()
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| rec = Concept8D.from_dword(dw)
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| assert rec.domain == vals[0] and rec.subdomain == vals[1]
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| assert rec.operation == vals[2] and rec.modality == vals[3]
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| assert rec.strength == vals[4] and rec.polarity == vals[5]
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| assert rec.temporal == vals[6] and rec.certainty == vals[7]
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| elapsed = time.perf_counter() - t0
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| rate = 100_000 / elapsed
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| print(f"[+] Processed 100,000 8D Concepts in {elapsed*1000:.2f} ms ({rate:,.0f} concepts/sec)")
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| print("\n[PASS] CLASS 32 VERIFICATION: 100% 8D ATOMIC LOSSLESS STABILITY PROVEN!")
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| print("=" * 65)
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| if __name__ == "__main__":
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| test_proof()
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