%load_ext autoreload  
%autoreload 2  
# %%
import hashlib

from zokrates.eddsa import PrivateKey, PublicKey
from zokrates.field import FQ
from zokrates.utils import write_for_zokrates_cli


raw_msg = "This is my secret message"
msg = hashlib.sha512(raw_msg.encode("utf-8")).digest()

# sk = PrivateKey.from_rand()
# Seeded for debug purpose
key = FQ(1997011358982923168928344992199991480689546837621580239342656433234255379025)
sk = PrivateKey(key)
sig = sk.sign(msg)

pk = PublicKey.from_private(sk)
is_verified = pk.verify(sig, msg)
print(is_verified)

#%%
hAM  = 108668349213596007683571215050197457258149172074632839444545934270199648764593
hAMinv = inv(108668349213596007683571215050197457258149172074632839444545934270199648764593, 21888242871839275222246405745257275088614511777268538073601725287587578984328)

assert hAM * hAMinv %  21888242871839275222246405745257275088614511777268538073601725287587578984328== 1

#%%
B = Point.generator()
sB = B.mult(sig[1])

#%%
sbR = (sB - sig[0])
assert sbR.mult(hAMinv) == pk.p