a portable and fast pairing-based cryptography library
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mcl/sample/pairing.cpp

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1.3 KiB

#include <mcl/bn256.hpp>
using namespace mcl::bn256;
const char *aa = "12723517038133731887338407189719511622662176727675373276651903807414909099441";
const char *ab = "4168783608814932154536427934509895782246573715297911553964171371032945126671";
const char *ba = "13891744915211034074451795021214165905772212241412891944830863846330766296736";
const char *bb = "7937318970632701341203597196594272556916396164729705624521405069090520231616";
void minimum_sample(const G2& Q, const G1& P)
{
const mpz_class a = 123;
const mpz_class b = 456;
Fp12 e1, e2;
BN::pairing(e1, Q, P);
G2 aQ;
G1 bP;
G2::mul(aQ, Q, a);
G1::mul(bP, P, b);
BN::pairing(e2, aQ, bP);
Fp12::pow(e1, e1, a * b);
printf("%s\n", e1 == e2 ? "ok" : "ng");
}
void miller_and_finel_exp(const G2& Q, const G1& P)
{
Fp12 e1, e2;
BN::pairing(e1, Q, P);
BN::millerLoop(e2, Q, P);
BN::finalExp(e2, e2);
printf("%s\n", e1 == e2 ? "ok" : "ng");
}
void precomputed(const G2& Q, const G1& P)
{
Fp12 e1, e2;
BN::pairing(e1, Q, P);
std::vector<Fp6> Qcoeff;
BN::precomputeG2(Qcoeff, Q);
BN::precomputedMillerLoop(e2, Qcoeff, P);
BN::finalExp(e2, e2);
printf("%s\n", e1 == e2 ? "ok" : "ng");
}
int main()
{
bn256init();
G2 Q(Fp2(aa, ab), Fp2(ba, bb));
G1 P(-1, 1);
minimum_sample(Q, P);
miller_and_finel_exp(Q, P);
precomputed(Q, P);
}