add pairing sample

sample/pairing.cpp

@@ -0,0 +1,40 @@
+#include <cybozu/benchmark.hpp>
+#include <cybozu/option.hpp>
+#include <mcl/bn.hpp>
+
+typedef mcl::FpT<mcl::FpTag, 256> Fp;
+typedef mcl::bn::BNT<Fp> BN;
+typedef BN::Fp2 Fp2;
+typedef BN::Fp6 Fp6;
+typedef BN::Fp12 Fp12;
+typedef BN::G1 G1;
+typedef BN::G2 G2;
+
+void minimum_sample()
+{
+	const char *aa = "12723517038133731887338407189719511622662176727675373276651903807414909099441";
+	const char *ab = "4168783608814932154536427934509895782246573715297911553964171371032945126671";
+	const char *ba = "13891744915211034074451795021214165905772212241412891944830863846330766296736";
+	const char *bb = "7937318970632701341203597196594272556916396164729705624521405069090520231616";
+
+	BN::init();
+
+	G2 Q(Fp2(aa, ab), Fp2(ba, bb));
+	G1 P(-1, 1);
+
+	const mpz_class a = 123;
+	const mpz_class b = 456;
+	Fp12 e1, e2;
+	BN::optimalAtePairing(e1, Q, P);
+	G2::mul(Q, Q, a);
+	G1::mul(P, P, b);
+	BN::optimalAtePairing(e2, Q, P);
+	Fp12::pow(e1, e1, a * b);
+	printf("%s\n", e1 == e2 ? "ok" : "ng");
+}
+
+int main()
+{
+	minimum_sample();
+}
+