CharlesCNorton
Signed addition overflow detector, magnitude 12
c800ac3
import torch
from safetensors.torch import load_file
def load_model(path='model.safetensors'):
return load_file(path)
def overflow_detect(a_sign, b_sign, sum_sign, weights):
"""Detect signed addition overflow. Returns 1 if overflow occurred."""
inp = torch.tensor([float(a_sign), float(b_sign), float(sum_sign)])
n1 = int((inp @ weights['layer1.n1.weight'].T + weights['layer1.n1.bias'] >= 0).item())
n2 = int((inp @ weights['layer1.n2.weight'].T + weights['layer1.n2.bias'] >= 0).item())
hidden = torch.tensor([float(n1), float(n2)])
return int((hidden @ weights['layer2.weight'].T + weights['layer2.bias'] >= 0).item())
if __name__ == '__main__':
w = load_model()
print('Overflow detection truth table:')
print('a_sign b_sign sum_sign | overflow | meaning')
print('-' * 55)
for a in [0, 1]:
for b in [0, 1]:
for s in [0, 1]:
result = overflow_detect(a, b, s, w)
a_str = 'pos' if a == 0 else 'neg'
b_str = 'pos' if b == 0 else 'neg'
s_str = 'pos' if s == 0 else 'neg'
marker = 'OVERFLOW!' if result else 'ok'
print(f' {a} {b} {s} | {result} | {a_str}+{b_str}={s_str} {marker}')