def test_multiplication_of_commtiments_by_triplet(self):
#q = self.ppatspp.q
m1 = randint(1,self.maxmessage)
r1 = randint(1,self.n-1)
a1,r1 = self.ppatspk.commit(m1,r1)
m2 = randint(1,self.maxmessage)
r2 = randint(1,self.n-1)
a2,r2 = self.ppatspk.commit(m2,r2)
r3 = randint(1,self.n-1)
a3,r3 = self.ppatspk.commit(m1*m2,r3)
proof = nizk.multiplicationProof(self.ppatspk,a1,a2,a3,m1,m2,r1,r2,r3)
m1p = randint(1,self.maxmessage)
r1p = randint(1,self.n-1)
d1,r1p = self.ppatspk.commit(m1p,r1p)
m2p = randint(1,self.maxmessage)
r2p = randint(1,self.n-1)
d2,r2p = self.ppatspk.commit(m2p,r2p)
g = self.ppatspp.g
o1 = (r1p-r1)*g
o2 = (r2p-r2)*g
openings = (m1p-m1,o1),(m2p-m2,o2)
d3 = nizk.multiplicationWithTripletAndCheck(self.ppatspk,d1,d2,a1,a2,a3,proof,openings)
o3 = (r3+m2p*r1-m2*r1+m1p*r2-m1*r2)*g
self.assertTrue(self.ppatspk.verifyOpening(d3,m1p*m2p,o3))
def test_multiplication_of_commtiments_by_triplet(self):
#q = self.ppatspp.q
m1 = randint(1,self.maxmessage)
r1 = randint(1,self.n-1)
a1,r1 = self.ppatspk.commit(m1,r1)
m2 = randint(1,self.maxmessage)
r2 = randint(1,self.n-1)
a2,r2 = self.ppatspk.commit(m2,r2)
r3 = randint(1,self.n-1)
a3,r3 = self.ppatspk.commit(m1*m2,r3)
proof = nizk.multiplicationProof(self.ppatspk,a1,a2,a3,m1,m2,r1,r2,r3)
m1p = randint(1,self.maxmessage)
r1p = randint(1,self.n-1)
d1,r1p = self.ppatspk.commit(m1p,r1p)
m2p = randint(1,self.maxmessage)
r2p = randint(1,self.n-1)
d2,r2p = self.ppatspk.commit(m2p,r2p)
g = self.ppatspp.g
o1 = (r1p-r1)*g
o2 = (r2p-r2)*g
openings = (m1p-m1,o1),(m2p-m2,o2)
d3 = nizk.multiplicationWithTripletAndCheck(self.ppatspk,d1,d2,a1,a2,a3,proof,openings)
o3 = (r3+m2p*r1-m2*r1+m1p*r2-m1*r2)*g
self.assertTrue(self.ppatspk.verifyOpening(d3,m1p*m2p,o3))
def test_multiplication_of_commitment_proof_and_check(self):
m1 = randint(1,self.maxmessage)
r1 = randint(1,self.n-1)
d1,r1 = self.ppatspk.commit(m1,r1)
m2 = randint(1,self.maxmessage)
r2 = randint(1,self.n-1)
d2,r2 = self.ppatspk.commit(m2,r2)
r3 = randint(1,100)
d3,r3 = self.ppatspk.commit(m1*m2,r3)
proof = nizk.multiplicationProof(self.ppatspk,d1,d2,d3,m1,m2,r1,r2,r3)
self.assertTrue(nizk.multiplicationProofCheck(self.ppatspk,d1,d2,d3,proof))
def test_multiplication_of_commitment_proof_and_check(self):
m1 = randint(1,self.maxmessage)
r1 = randint(1,self.n-1)
d1,r1 = self.ppatspk.commit(m1,r1)
m2 = randint(1,self.maxmessage)
r2 = randint(1,self.n-1)
d2,r2 = self.ppatspk.commit(m2,r2)
r3 = randint(1,100)
d3,r3 = self.ppatspk.commit(m1*m2,r3)
proof = nizk.multiplicationProof(self.ppatspk,d1,d2,d3,m1,m2,r1,r2,r3)
self.assertTrue(nizk.multiplicationProofCheck(self.ppatspk,d1,d2,d3,proof))