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fixup! Optionally print intermediate values in reference code
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003d38cedb
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07d938a214
@ -78,7 +78,7 @@ def lift_x_even_y(b):
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if P is None:
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return None
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else:
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return [x(P), y(P) if y(P) % 2 == 0 else p - y(P)]
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return (x(P), y(P) if y(P) % 2 == 0 else p - y(P))
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def int_from_bytes(b):
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return int.from_bytes(b, byteorder="big")
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@ -90,7 +90,7 @@ def is_square(x):
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return pow(x, (p - 1) // 2, p) == 1
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def has_square_y(P):
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return (not is_infinity(P)) and (is_square(y(P)))
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return (not is_infinity(P)) and is_square(y(P))
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def has_even_y(P):
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return y(P) % 2 == 0
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@ -98,14 +98,12 @@ def has_even_y(P):
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def pubkey_gen(seckey):
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d0 = int_from_bytes(seckey)
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if not (1 <= d0 <= n - 1):
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debug_print_vars()
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raise ValueError('The secret key must be an integer in the range 1..n-1.')
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P = point_mul(G, d0)
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return bytes_from_point(P)
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def schnorr_sign(msg, seckey, aux_rand):
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if len(msg) != 32:
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debug_print_vars()
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raise ValueError('The message must be a 32-byte array.')
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d0 = int_from_bytes(seckey)
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if not (1 <= d0 <= n - 1):
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@ -117,16 +115,14 @@ def schnorr_sign(msg, seckey, aux_rand):
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t = xor_bytes(bytes_from_int(d), tagged_hash("BIP340/aux", aux_rand))
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k0 = int_from_bytes(tagged_hash("BIP340/nonce", t + bytes_from_point(P) + msg)) % n
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if k0 == 0:
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debug_print_vars()
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raise RuntimeError('Failure. This happens only with negligible probability.')
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R = point_mul(G, k0)
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k = n - k0 if not has_square_y(R) else k0
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e = int_from_bytes(tagged_hash("BIP340/challenge", bytes_from_point(R) + bytes_from_point(P) + msg)) % n
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sig = bytes_from_point(R) + bytes_from_int((k + e * d) % n)
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if not schnorr_verify(msg, bytes_from_point(P), sig):
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debug_print_vars()
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raise RuntimeError('The signature does not pass verification.')
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debug_print_vars()
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if not schnorr_verify(msg, bytes_from_point(P), sig):
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raise RuntimeError('The signature does not pass verification.')
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return sig
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def schnorr_verify(msg, pubkey, sig):
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