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