import dsa

p = 0x800000000000000089e1855218a0e7dac38136ffafa72eda7859f2171e25e65eac698c1702578b07dc2a1076da241c76c62d374d8389ea5aeffd3226a0530cc565f3bf6b50929139ebeac04f48c3c84afb796d61e5a4f9a8fda812ab59494232c7d2b4deb50aa18ee9e132bfa85ac4374d7f9091abc3d015efc871a584471bb1

q = 0xf4f47f05794b256174bba6e9b396a7707e563c5b

g = 0x5958c9d3898b224b12672c0b98e06c60df923cb8bc999d119458fef538b8fa4046c8db53039db620c094c9fa077ef389b5322a559946a71903f990f1f7e0e025e2d7f7cf494aff1a0470f5b64c36b625a097f1651fe775323556fe00b3608c887892878480e99041be601a62166ca6894bdd41a7054ec89f756ba9fc95302291

y = 0x84ad4719d044495496a3201c8ff484feb45b962e7302e56a392aee4abab3e4bdebf2955b4736012f21a08084056b19bcd7fee56048e004e44984e2f411788efdc837a0d2e5abb7b555039fd243ac01f0fb2ed1dec568280ce678e931868d23eb095fde9d3779191b8c0299d6e07bbb283e6633451e535c45513b2d33c99ea17

hash_x = '0954edd5e0afe5542a4adf012611a91912a3ec16'

group = dsa.group(p, q, g)

if __name__ == '__main__':

# smoke test

pub, priv = dsa.gen_pair(group)

msg = 'fart'

sig = dsa.sign_sha1(priv, msg)

dsa.verify_sha1(pub, sig, msg)

msg = "For those that envy a MC it can be hazardous to your health\nSo be friendly, a matter of life and death, just like a etch-a-sketch\n"

pub = (group, y)

sig = (548099063082341131477253921760299949438196259240, 857042759984254168557880549501802188789837994940)

dsa.verify_sha1(pub, sig, msg)

# brute force value for k

for k in range(0, 2**16):

x = dsa.recover_x_given_sig_k(group, k, sig, msg)

# check using known hash (could also use pubkey = g^x mod p)

if dsa.sha1('%x' % x).hexdigest() == hash_x:

print 'k: 0x%x, x: 0x%x' % (k, x)

break