mcl/test/bn_test.cpp

#define PUT(x) std::cout << #x "=" << x << std::endl;
#include <cybozu/test.hpp>
#include <mcl/gmp_util.hpp>
#include <mcl/bn.hpp>
#include <mcl/ec.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;

typedef mcl::bn::ParamT<Fp> Param;

const struct TestSet {
	mcl::bn::CurveParam cp;
	struct G2 {
		const char *aa;
		const char *ab;
		const char *ba;
		const char *bb;
	} g2;
	struct G1 {
		int a;
		int b;
	} g1;
	const char *e;
} g_testSetTbl[] = {
	{
		mcl::bn::CurveFp254BNb,
		{
			"12723517038133731887338407189719511622662176727675373276651903807414909099441",
			"4168783608814932154536427934509895782246573715297911553964171371032945126671",
			"13891744915211034074451795021214165905772212241412891944830863846330766296736",
			"7937318970632701341203597196594272556916396164729705624521405069090520231616",
		},
		{
			-1, 1
		},
		"8118772341496577043438385328606447626730215814727396173233264007541007797690 "
		"6742571767760762192519140673058087976840103832045324348366170860928670686713 "
		"9727912590495366720378364920530546614235713408261568635512172059018197267630 "
		"10180700148605185348549931182990442059136187839792856455707820203302941578832 "
		"5054507763444412917986776641611331046146804026682679569910978464879371792565 "
		"6917005519826733659554708445125877487590687705432214234949972860245110398023 "
		"10448556317747236258066222816126375978842661908560317699736569642190930635294 "
		"1516980358051268127904344653343215863076753141133525905743113718749531324025 "
		"9794836735385959178744195210089532061310424844916928682580569566332541022353 "
		"9375574834170998962484906689780052970915033987453510324648351251071086068423 "
		"710778048594563655498360873129325895716179849942646859397874562033386335205 "
		"10688745994254573144943003027511098295097561129365638275727908595677791826005"
	},
};

CYBOZU_TEST_AUTO(size)
{
	CYBOZU_TEST_EQUAL(sizeof(Fp), 32u);
	CYBOZU_TEST_EQUAL(sizeof(Fp2), sizeof(Fp) * 2);
	CYBOZU_TEST_EQUAL(sizeof(Fp6), sizeof(Fp) * 6);
	CYBOZU_TEST_EQUAL(sizeof(Fp12), sizeof(Fp) * 12);
	CYBOZU_TEST_EQUAL(sizeof(G1), sizeof(Fp) * 3);
	CYBOZU_TEST_EQUAL(sizeof(G2), sizeof(Fp2) * 3);
}
CYBOZU_TEST_AUTO(naive)
{
	const TestSet& ts = g_testSetTbl[0];
	BN::init(ts.cp);
	G1 P(ts.g1.a, ts.g1.b);
	G2 Q(Fp2(ts.g2.aa, ts.g2.ab), Fp2(ts.g2.ba, ts.g2.bb));
	Fp12 e1;
	BN::optimalAtePairing(e1, Q, P);
	Fp12 e2;
	{
		std::stringstream ss(ts.e);
		ss >> e2;
	}
	CYBOZU_TEST_EQUAL(e1, e2);
}