""" Threshold Network for MOD-8 Circuit A formally verified threshold network computing Hamming weight mod 8. Uses the algebraic weight pattern [1, 1, 1, 1, 1, 1, 1, -7]. """ import torch from safetensors.torch import load_file class ThresholdMod8: def __init__(self, weights_dict): self.weight = weights_dict['weight'] self.bias = weights_dict['bias'] def __call__(self, bits): inputs = torch.tensor([float(b) for b in bits]) weighted_sum = (inputs * self.weight).sum() + self.bias return weighted_sum @classmethod def from_safetensors(cls, path="model.safetensors"): return cls(load_file(path)) if __name__ == "__main__": weights = load_file("model.safetensors") model = ThresholdMod8(weights) print("MOD-8 Circuit Tests:") for hw in range(9): bits = [1]*hw + [0]*(8-hw) out = model(bits).item() print(f"HW={hw}: weighted_sum={out:.0f}, HW mod 8 = {hw % 8}")