""" Threshold Network for 4-input XNOR Gate XNOR4(a,b,c,d) = 1 when even number of inputs are 1 (0, 2, or 4) Built as: XNOR(XNOR(a,b), XNOR(c,d)) """ import torch from safetensors.torch import load_file def xnor2(x, y, w, prefix): """2-input XNOR using NOR + AND -> OR structure.""" inp = torch.tensor([float(x), float(y)]) n1 = int((inp * w[f'{prefix}.layer1.n1.weight']).sum() + w[f'{prefix}.layer1.n1.bias'] >= 0) n2 = int((inp * w[f'{prefix}.layer1.n2.weight']).sum() + w[f'{prefix}.layer1.n2.bias'] >= 0) h = torch.tensor([float(n1), float(n2)]) return int((h * w[f'{prefix}.layer2.weight']).sum() + w[f'{prefix}.layer2.bias'] >= 0) class ThresholdXNOR4: def __init__(self, weights_dict): self.w = weights_dict def __call__(self, a, b, c, d): # Tree structure: XNOR(XNOR(a,b), XNOR(c,d)) xnor_ab = xnor2(a, b, self.w, 'xnor1') xnor_cd = xnor2(c, d, self.w, 'xnor2') result = xnor2(xnor_ab, xnor_cd, self.w, 'xnor3') return float(result) @classmethod def from_safetensors(cls, path="model.safetensors"): return cls(load_file(path)) if __name__ == "__main__": weights = load_file("model.safetensors") model = ThresholdXNOR4(weights) print("4-input XNOR Gate Truth Table:") print("-" * 35) correct = 0 for a in [0, 1]: for b in [0, 1]: for c in [0, 1]: for d in [0, 1]: out = int(model(a, b, c, d)) # XNOR4 = even parity = NOT XOR4 expected = 1 - (a ^ b ^ c ^ d) status = "OK" if out == expected else "FAIL" if out == expected: correct += 1 print(f"XNOR4({a},{b},{c},{d}) = {out} [{status}]") print(f"\nTotal: {correct}/16 correct")