path: root/vendor/github.com/dexon-foundation/mcl/test/she_test.cpp

#define PUT(x) std::cout << #x << "=" << (x) << std::endl;
#include <cybozu/test.hpp>
#include <cybozu/benchmark.hpp>
#include <cybozu/xorshift.hpp>
#include <fstream>
#include <time.h>
#include <mcl/she.hpp>
#include <mcl/ecparam.hpp> // for secp192k1

using namespace mcl::she;

SecretKey g_sec;

CYBOZU_TEST_AUTO(log)
{
#if MCLBN_FP_UNIT_SIZE == 4
    const mcl::CurveParam& cp = mcl::BN254;
    puts("BN254");
#elif MCLBN_FP_UNIT_SIZE == 6
    const mcl::CurveParam& cp = mcl::BN381_1;
    puts("BN381_1");
#elif MCLBN_FP_UNIT_SIZE == 8
    const mcl::CurveParam& cp = mcl::BN462;
    puts("BN462");
#endif
    init(cp);
    G1 P;
    hashAndMapToG1(P, "abc");
    for (int i = -5; i < 5; i++) {
        G1 iP;
        G1::mul(iP, P, i);
        CYBOZU_TEST_EQUAL(mcl::she::local::log(P, iP), i);
    }
}

//#define PAPER
#ifdef PAPER
double clk2msec(const cybozu::CpuClock& clk, int n)
{
    const double rate = (1 / 3.4e9) * 1.e3; // 3.4GHz
    return clk.getClock() / (double)clk.getCount() / n * rate;
}

CYBOZU_TEST_AUTO(bench2)
{
    puts("msec");
    setTryNum(1 << 16);
    useDecG1ViaGT(true);
    useDecG2ViaGT(true);
#if 0
    setRangeForDLP(1 << 21);
#else
    {
        const char *tblName = "../she-dlp-table/she-dlp-0-20-gt.bin";
        std::ifstream ifs(tblName, std::ios::binary);
        getHashTableGT().load(ifs);
    }
#endif
    SecretKey sec;
    sec.setByCSPRNG();
    PublicKey pub;
    sec.getPublicKey(pub);
    PrecomputedPublicKey ppub;
    ppub.init(pub);
    const int C = 500;
    double t1, t2;
    int64_t m = (1ll << 31) - 12345;
    CipherTextG1 c1, d1;
    CipherTextG2 c2, d2;
    CipherTextGT ct, dt;
    CYBOZU_BENCH_C("", C, ppub.enc, c1, m);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    CYBOZU_TEST_EQUAL(sec.dec(c1), m);

    CYBOZU_BENCH_C("", C, ppub.enc, c2, m);
    t2 = clk2msec(cybozu::bench::g_clk, C);
    CYBOZU_TEST_EQUAL(sec.dec(c2), m);
    printf("Enc G1 %.2e\n", t1);
    printf("Enc G2 %.2e\n", t2);
    printf("Enc L1(G1+G2) %.2e\n", t1 + t2);

    CYBOZU_BENCH_C("", C, ppub.enc, ct, m);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    CYBOZU_TEST_EQUAL(sec.dec(ct), m);
    printf("Enc L2 %.2e\n", t1);

    CYBOZU_BENCH_C("", C, sec.dec, c1);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    printf("Dec L1 %.2e\n", t1);

    CYBOZU_BENCH_C("", C, sec.dec, ct);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    printf("Dec L2 %.2e\n", t1);

    pub.enc(ct, 1234);
    CYBOZU_BENCH_C("", C, sec.dec, ct);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    printf("Dec L2(small) %.2e\n", t1);

    CYBOZU_BENCH_C("", C, add, d1, d1, c1);
    t1 = clk2msec(cybozu::bench::g_clk, C);

    CYBOZU_BENCH_C("", C, add, d2, d2, c2);
    t2 = clk2msec(cybozu::bench::g_clk, C);
    printf("Add G1 %.2e\n", t1);
    printf("Add G2 %.2e\n", t2);
    printf("Add L1(G1+G2) %.2e\n", t1 + t2);

    CYBOZU_BENCH_C("", C, add, dt, dt, ct);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    printf("Add L2 %.2e\n", t1);

    CYBOZU_BENCH_C("", C, mul, ct, c1, c2);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    printf("Mul   %.2e\n", t1);

    CYBOZU_BENCH_C("", C, ppub.reRand, c1);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    CYBOZU_BENCH_C("", C, ppub.reRand, c2);
    t2 = clk2msec(cybozu::bench::g_clk, C);
    printf("ReRand G1 %.2e\n", t1);
    printf("ReRand G2 %.2e\n", t2);
    printf("ReRand L1(G1+G2) %.2e\n", t1 + t2);

    CYBOZU_BENCH_C("", C, ppub.reRand, ct);
    t1 = clk2msec(cybozu::bench::g_clk, C);
    printf("ReRand L2 %.2e\n", t1);
}
#endif

template<class G, class HashTbl>
void GAHashTableTest(int maxSize, int tryNum, const G& P, const HashTbl& hashTbl)
{
    for (int i = -maxSize; i <= maxSize; i++) {
        G xP;
        G::mul(xP, P, i);
        CYBOZU_TEST_EQUAL(hashTbl.basicLog(xP), i);
    }
    for (int i = -maxSize * tryNum; i <= maxSize * tryNum; i++) {
        G xP;
        G::mul(xP, P, i);
        CYBOZU_TEST_EQUAL(hashTbl.log(xP), i);
    }
}

template<class G>
void HashTableTest(const G& P)
{
    mcl::she::local::HashTable<G> hashTbl, hashTbl2;
    const int maxSize = 100;
    const int tryNum = 3;
    hashTbl.init(P, maxSize, tryNum);
    GAHashTableTest(maxSize, tryNum, P, hashTbl);
    std::stringstream ss;
    hashTbl.save(ss);
    hashTbl2.load(ss);
    GAHashTableTest(maxSize, tryNum, P, hashTbl2);
}

CYBOZU_TEST_AUTO(HashTable)
{
    G1 P;
    hashAndMapToG1(P, "abc");
    G2 Q;
    hashAndMapToG2(Q, "abc");
    HashTableTest(P);
    HashTableTest(Q);
}

template<class HashTbl>
void GTHashTableTest(int maxSize, int tryNum, const GT& g, const HashTbl& hashTbl)
{
    for (int i = -maxSize; i <= maxSize; i++) {
        GT gx;
        GT::pow(gx, g, i);
        CYBOZU_TEST_EQUAL(hashTbl.basicLog(gx), i);
    }
    for (int i = -maxSize * tryNum; i <= maxSize * tryNum; i++) {
        GT gx;
        GT::pow(gx, g, i);
        CYBOZU_TEST_EQUAL(hashTbl.log(gx), i);
    }
}

CYBOZU_TEST_AUTO(GTHashTable)
{
    mcl::she::local::HashTable<GT, false> hashTbl, hashTbl2;
    GT g;
    {
        G1 P;
        hashAndMapToG1(P, "abc");
        G2 Q;
        hashAndMapToG2(Q, "abc");
        pairing(g, P, Q);
    }
    const int maxSize = 100;
    const int tryNum = 3;
    hashTbl.init(g, maxSize, tryNum);
    GTHashTableTest(maxSize, tryNum, g, hashTbl);
    std::stringstream ss;
    hashTbl.save(ss);
    hashTbl2.load(ss);
    GTHashTableTest(maxSize, tryNum, g, hashTbl2);
}

CYBOZU_TEST_AUTO(enc_dec)
{
    SecretKey& sec = g_sec;
    sec.setByCSPRNG();
    setRangeForDLP(1024);
    PublicKey pub;
    sec.getPublicKey(pub);
    CipherText c;
    for (int i = -5; i < 5; i++) {
        pub.enc(c, i);
        CYBOZU_TEST_EQUAL(sec.dec(c), i);
        pub.reRand(c);
        CYBOZU_TEST_EQUAL(sec.dec(c), i);
    }
    PrecomputedPublicKey ppub;
    ppub.init(pub);
    CipherTextG1 c1;
    CipherTextG2 c2;
    CipherTextGT ct1, ct2;
    for (int i = -5; i < 5; i++) {
        pub.enc(ct1, i);
        CYBOZU_TEST_EQUAL(sec.dec(ct1), i);
        CYBOZU_TEST_EQUAL(sec.isZero(ct1), i == 0);
        ppub.enc(ct2, i);
        CYBOZU_TEST_EQUAL(sec.dec(ct2), i);
        ppub.enc(c1, i);
        CYBOZU_TEST_EQUAL(sec.dec(c1), i);
        CYBOZU_TEST_EQUAL(sec.decViaGT(c1), i);
        CYBOZU_TEST_EQUAL(sec.isZero(c1), i == 0);
        ct1.clear();
        pub.convert(ct1, c1);
        CYBOZU_TEST_EQUAL(sec.dec(ct1), i);
        ppub.enc(c2, i);
        CYBOZU_TEST_EQUAL(sec.dec(c2), i);
        CYBOZU_TEST_EQUAL(sec.decViaGT(c2), i);
        CYBOZU_TEST_EQUAL(sec.isZero(c2), i == 0);
        ct1.clear();
        pub.convert(ct1, c2);
        CYBOZU_TEST_EQUAL(sec.dec(ct1), i);
        pub.enc(c, i);
        CYBOZU_TEST_EQUAL(sec.isZero(c), i == 0);
    }
}

template<class CT, class PK>
void ZkpBinTest(const SecretKey& sec, const PK& pub)
{
    CT c;
    ZkpBin zkp;
    for (int m = 0; m < 2; m++) {
        pub.encWithZkpBin(c, zkp, m);
        CYBOZU_TEST_EQUAL(sec.dec(c), m);
        CYBOZU_TEST_ASSERT(pub.verify(c, zkp));
        zkp.d_[0] += 1;
        CYBOZU_TEST_ASSERT(!pub.verify(c, zkp));
    }
    CYBOZU_TEST_EXCEPTION(pub.encWithZkpBin(c, zkp, 2), cybozu::Exception);
}
CYBOZU_TEST_AUTO(ZkpBin)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);
    ZkpBinTest<CipherTextG1>(sec, pub);
    ZkpBinTest<CipherTextG2>(sec, pub);

    PrecomputedPublicKey ppub;
    ppub.init(pub);
    ZkpBinTest<CipherTextG1>(sec, ppub);
    ZkpBinTest<CipherTextG2>(sec, ppub);
}

template<class PubT>
void ZkpEqTest(const SecretKey& sec, const PubT& pub)
{
    CipherTextG1 c1;
    CipherTextG2 c2;
    ZkpEq zkp;
    for (int m = -4; m < 4; m++) {
        pub.encWithZkpEq(c1, c2, zkp, m);
        CYBOZU_TEST_EQUAL(sec.dec(c1), m);
        CYBOZU_TEST_EQUAL(sec.dec(c2), m);
        CYBOZU_TEST_ASSERT(pub.verify(c1, c2, zkp));
        zkp.d_[0] += 1;
        CYBOZU_TEST_ASSERT(!pub.verify(c1, c2, zkp));
    }
}

CYBOZU_TEST_AUTO(ZkpEq)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);
    PrecomputedPublicKey ppub;
    ppub.init(pub);
    ZkpEqTest(sec, pub);
    ZkpEqTest(sec, ppub);
}

template<class PK>
void ZkpBinEqTest(const SecretKey& sec, const PK& pub)
{
    CipherTextG1 c1;
    CipherTextG2 c2;
    ZkpBinEq zkp;
    for (int m = 0; m < 2; m++) {
        pub.encWithZkpBinEq(c1, c2, zkp, m);
        CYBOZU_TEST_EQUAL(sec.dec(c1), m);
        CYBOZU_TEST_EQUAL(sec.dec(c2), m);
        CYBOZU_TEST_ASSERT(pub.verify(c1, c2, zkp));
        zkp.d_[0] += 1;
        CYBOZU_TEST_ASSERT(!pub.verify(c1, c2, zkp));
    }
    CYBOZU_TEST_EXCEPTION(pub.encWithZkpBinEq(c1, c2, zkp, 2), cybozu::Exception);
}

CYBOZU_TEST_AUTO(ZkpBinEq)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);
    ZkpBinEqTest(sec, pub);

    PrecomputedPublicKey ppub;
    ppub.init(pub);
    ZkpBinEqTest(sec, ppub);
}

CYBOZU_TEST_AUTO(add_sub_mul)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);
    for (int m1 = -5; m1 < 5; m1++) {
        for (int m2 = -5; m2 < 5; m2++) {
            CipherText c1, c2, c3;
            pub.enc(c1, m1);
            pub.enc(c2, m2);
            add(c3, c1, c2);
            CYBOZU_TEST_EQUAL(m1 + m2, sec.dec(c3));

            pub.reRand(c3);
            CYBOZU_TEST_EQUAL(m1 + m2, sec.dec(c3));

            sub(c3, c1, c2);
            CYBOZU_TEST_EQUAL(m1 - m2, sec.dec(c3));

            mul(c3, c1, 5);
            CYBOZU_TEST_EQUAL(m1 * 5, sec.dec(c3));
            mul(c3, c1, -123);
            CYBOZU_TEST_EQUAL(m1 * -123, sec.dec(c3));

            mul(c3, c1, c2);
            CYBOZU_TEST_EQUAL(m1 * m2, sec.dec(c3));

            pub.reRand(c3);
            CYBOZU_TEST_EQUAL(m1 * m2, sec.dec(c3));

            CipherText::mul(c3, c3, -25);
            CYBOZU_TEST_EQUAL(m1 * m2 * -25, sec.dec(c3));

            pub.enc(c1, m1, true);
            CYBOZU_TEST_EQUAL(m1, sec.dec(c1));
            pub.enc(c2, m2, true);
            add(c3, c1, c2);
            CYBOZU_TEST_EQUAL(m1 + m2, sec.dec(c3));
        }
    }
}

CYBOZU_TEST_AUTO(largeEnc)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);

    Fr x;
    x.setRand();
    CipherTextG1 c1, c2;
    pub.enc(c1, x);
    const int64_t m = 123;
    pub.enc(c2, x + m);
    sub(c1, c1, c2);
    CYBOZU_TEST_EQUAL(sec.dec(c1), -m);

    pub.enc(c1, 0);
    mul(c1, c1, x);
    CYBOZU_TEST_ASSERT(sec.isZero(c1));
    pub.enc(c1, 1);
    mul(c1, c1, x);
    CYBOZU_TEST_ASSERT(!sec.isZero(c1));
}

CYBOZU_TEST_AUTO(add_mul_add_sub)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);
    int m[8] = { 1, -2, 3, 4, -5, 6, -7, 8 };
    CipherText c[8];
    for (int i = 0; i < 8; i++) {
        pub.enc(c[i], m[i]);
        CYBOZU_TEST_EQUAL(sec.dec(c[i]), m[i]);
        CYBOZU_TEST_ASSERT(!c[i].isMultiplied());
        CipherText mc;
        pub.convert(mc, c[i]);
        CYBOZU_TEST_ASSERT(mc.isMultiplied());
        CYBOZU_TEST_EQUAL(sec.dec(mc), m[i]);
    }
    int ok1 = (m[0] + m[1]) * (m[2] + m[3]);
    int ok2 = (m[4] + m[5]) * (m[6] + m[7]);
    int ok = ok1 + ok2;
    for (int i = 0; i < 4; i++) {
        c[i * 2].add(c[i * 2 + 1]);
        CYBOZU_TEST_EQUAL(sec.dec(c[i * 2]), m[i * 2] + m[i * 2 + 1]);
    }
    c[0].mul(c[2]);
    CYBOZU_TEST_EQUAL(sec.dec(c[0]), ok1);
    c[4].mul(c[6]);
    CYBOZU_TEST_EQUAL(sec.dec(c[4]), ok2);
    c[0].add(c[4]);
    CYBOZU_TEST_EQUAL(sec.dec(c[0]), ok);
    c[0].sub(c[4]);
    CYBOZU_TEST_EQUAL(sec.dec(c[0]), ok1);
}

CYBOZU_TEST_AUTO(finalExp)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);
    const int64_t m11 = 5;
    const int64_t m12 = 3;
    const int64_t m21 = -2;
    const int64_t m22 = 9;
    CipherTextG1 c11, c12;
    CipherTextG2 c21, c22;
    CipherTextGT ct1, ct2, ct;
    pub.enc(c11, m11);
    pub.enc(c12, m12);
    pub.enc(c21, m21);
    pub.enc(c22, m22);
    CipherTextGT::mulML(ct1, c11, c21);
    CipherTextGT::finalExp(ct, ct1);
    CYBOZU_TEST_EQUAL(sec.dec(ct), m11 * m21);
    CipherTextGT::mulML(ct2, c12, c22);
    CipherTextGT::finalExp(ct, ct2);
    CYBOZU_TEST_EQUAL(sec.dec(ct), m12 * m22);
    CipherTextGT::add(ct1, ct1, ct2);
    CipherTextGT::finalExp(ct1, ct1);
    CYBOZU_TEST_EQUAL(sec.dec(ct1), (m11 * m21) + (m12 * m22));
}

CYBOZU_TEST_AUTO(innerProduct)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);

    cybozu::XorShift rg;
    const size_t n = 1000;
    std::vector<int> v1, v2;
    std::vector<CipherText> c1, c2;
    v1.resize(n);
    v2.resize(n);
    c1.resize(n);
    c2.resize(n);
    int innerProduct = 0;
    for (size_t i = 0; i < n; i++) {
        v1[i] = rg() % 2;
        v2[i] = rg() % 2;
        innerProduct += v1[i] * v2[i];
        pub.enc(c1[i], v1[i]);
        pub.enc(c2[i], v2[i]);
    }
    CipherText c, t;
    CipherText::mul(c, c1[0], c2[0]);
    for (size_t i = 1; i < n; i++) {
        CipherText::mul(t, c1[i], c2[i]);
        c.add(t);
    }
    CYBOZU_TEST_EQUAL(innerProduct, sec.dec(c));
}

template<class T>
T testIo(const T& x)
{
    std::stringstream ss;
    ss << x;
    T y;
    ss >> y;
    CYBOZU_TEST_EQUAL(x, y);
    return y;
}

CYBOZU_TEST_AUTO(io)
{
    setRangeForDLP(100);
    int64_t m;
    for (int i = 0; i < 2; i++) {
        if (i == 1) {
            Fp::setIoMode(mcl::IoSerialize);
            G1::setIoMode(mcl::IoSerialize);
        }
        SecretKey sec;
        sec.setByCSPRNG();
        testIo(sec);
        PublicKey pub;
        sec.getPublicKey(pub);
        testIo(pub);
        CipherTextG1 g1;
        pub.enc(g1, 3);
        m = sec.dec(testIo(g1));
        CYBOZU_TEST_EQUAL(m, 3);
        CipherTextG2 g2;
        pub.enc(g2, 5);
        testIo(g2);
        CipherTextA ca;
        pub.enc(ca, -4);
        m = sec.dec(testIo(ca));
        CYBOZU_TEST_EQUAL(m, -4);
        CipherTextGT ct;
        CipherTextGT::mul(ct, g1, g2);
        m = sec.dec(testIo(ct));
        CYBOZU_TEST_EQUAL(m, 15);
    }
}

#ifndef PAPER
CYBOZU_TEST_AUTO(bench)
{
    const SecretKey& sec = g_sec;
    PublicKey pub;
    sec.getPublicKey(pub);
    CipherText c1, c2, c3;
    CYBOZU_BENCH("enc", pub.enc, c1, 5);
    pub.enc(c2, 4);
    CYBOZU_BENCH("add", c1.add, c2);
    CYBOZU_BENCH("mul", CipherText::mul, c3, c1, c2);
    pub.enc(c1, 5);
    pub.enc(c2, 4);
    c1.mul(c2);
    CYBOZU_BENCH("dec", sec.dec, c1);
    c2 = c1;
    CYBOZU_BENCH("add after mul", c1.add, c2);
}
#endif

CYBOZU_TEST_AUTO(saveHash)
{
    mcl::she::local::HashTable<G1> hashTbl1, hashTbl2;
    hashTbl1.init(SHE::P_, 1234, 123);
    std::stringstream ss;
    hashTbl1.save(ss);
    hashTbl2.load(ss);
    CYBOZU_TEST_ASSERT(hashTbl1 == hashTbl2);
}

static inline void putK(double t) { printf("%.2e\n", t * 1e-3); }

template<class CT>
void decBench(const char *msg, int C, const SecretKey& sec, const PublicKey& pub, int64_t (SecretKey::*dec)(const CT& c) const = &SecretKey::dec)
{
    int64_t begin = 1 << 20;
    int64_t end = 1LL << 32;
    while (begin < end) {
        CT c;
        int64_t x = begin - 1;
        pub.enc(c, x);
        printf("m=%08x ", (uint32_t)x);
        CYBOZU_BENCH_C(msg, C, (sec.*dec), c);
        CYBOZU_TEST_EQUAL((sec.*dec)(c), x);
        begin *= 2;
    }
    int64_t mTbl[] = { -0x80000003ll, 0x80000000ll, 0x80000005ll };
    for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(mTbl); i++) {
        int64_t m = mTbl[i];
        CT c;
        pub.enc(c, m);
        CYBOZU_TEST_EQUAL((sec.*dec)(c), m);
    }
}

#ifndef PAPER
CYBOZU_TEST_AUTO(hashBench)
{
    SecretKey& sec = g_sec;
    sec.setByCSPRNG();
    const int C = 500;
    const size_t hashSize = 1u << 21;

    clock_t begin = clock(), end;
    setRangeForG1DLP(hashSize);
    end = clock();
    printf("init G1 DLP %f\n", double(end - begin) / CLOCKS_PER_SEC);
    begin = end;
    setRangeForG2DLP(hashSize);
    end = clock();
    printf("init G2 DLP %f\n", double(end - begin) / CLOCKS_PER_SEC);
    begin = end;
    setRangeForGTDLP(hashSize);
    end = clock();
    printf("init GT DLP %f\n", double(end - begin) / CLOCKS_PER_SEC);

    PublicKey pub;
    sec.getPublicKey(pub);
    PrecomputedPublicKey ppub;
    ppub.init(pub);
    puts("Kclk");
    cybozu::bench::setPutCallback(putK);
    decBench<CipherTextG1>("decG1", C, sec, pub);
    puts("");
    decBench<CipherTextG2>("decG2", C, sec, pub);
    puts("");
    decBench<CipherTextGT>("decGT", C, sec, pub);
    puts("");
    decBench<CipherTextG1>("decG1ViaGT", C, sec, pub, &SecretKey::decViaGT);
    puts("");
    decBench<CipherTextG2>("decG2ViaGT", C, sec, pub, &SecretKey::decViaGT);

    G1 P, P2;
    G2 Q, Q2;
    GT e, e2;
    mpz_class mr;
    {
        Fr r;
        r.setRand();
        mr = r.getMpz();
    }
    hashAndMapToG1(P, "abc");
    hashAndMapToG2(Q, "abc");
    pairing(e, P, Q);
    P2.clear();
    Q2.clear();
    e2 = 1;

    printf("large m\n");
    CYBOZU_BENCH_C("G1::add ", C, G1::add, P2, P2, P);
    CYBOZU_BENCH_C("G1::mul ", C, G1::mul, P, P, mr);
    CYBOZU_BENCH_C("G2::add ", C, G2::add, Q2, Q2, Q);
    CYBOZU_BENCH_C("G2::mul ", C, G2::mul, Q, Q, mr);
    CYBOZU_BENCH_C("GT::mul ", C, GT::mul, e2, e2, e);
    CYBOZU_BENCH_C("GT::pow ", C, GT::pow, e, e, mr);
    CYBOZU_BENCH_C("G1window", C, SHE::PhashTbl_.mulByWindowMethod, P2, mr);
    CYBOZU_BENCH_C("G2window", C, SHE::QhashTbl_.mulByWindowMethod, Q2, mr);
    CYBOZU_BENCH_C("GTwindow", C, SHE::ePQhashTbl_.mulByWindowMethod, e, mr);
#if 1
    typedef mcl::GroupMtoA<Fp12> AG;
    mcl::fp::WindowMethod<AG> wm;
    wm.init(static_cast<AG&>(e), Fr::getBitSize(), 10);
    for (int i = 0; i < 100; i++) {
        GT t1, t2;
        GT::pow(t1, e, i);
        wm.mul(static_cast<AG&>(t2), i);
        CYBOZU_TEST_EQUAL(t1, t2);
    }
//  CYBOZU_BENCH_C("GTwindow", C, wm.mul, static_cast<AG&>(e), mr);
#endif

    CYBOZU_BENCH_C("miller  ", C, millerLoop, e, P, Q);
    CYBOZU_BENCH_C("finalExp", C, finalExp, e, e);
    CYBOZU_BENCH_C("precomML", C, precomputedMillerLoop, e, P, SHE::Qcoeff_);

    CipherTextG1 c1;
    CipherTextG2 c2;
    CipherTextGT ct;

    int m = int(hashSize - 1);
    printf("small m = %d\n", m);
    CYBOZU_BENCH_C("G1::mul ", C, G1::mul, P, P, m);
    CYBOZU_BENCH_C("G2::mul ", C, G2::mul, Q, Q, m);
    CYBOZU_BENCH_C("GT::pow ", C, GT::pow, e, e, m);
    CYBOZU_BENCH_C("G1window", C, SHE::PhashTbl_.mulByWindowMethod, P2, m);
    CYBOZU_BENCH_C("G2window", C, SHE::QhashTbl_.mulByWindowMethod, Q2, m);
    CYBOZU_BENCH_C("GTwindow", C, SHE::ePQhashTbl_.mulByWindowMethod, e, m);
//  CYBOZU_BENCH_C("GTwindow", C, wm.mul, static_cast<AG&>(e), m);

    CYBOZU_BENCH_C("encG1   ", C, pub.enc, c1, m);
    CYBOZU_BENCH_C("encG2   ", C, pub.enc, c2, m);
    CYBOZU_BENCH_C("encGT   ", C, pub.enc, ct, m);
    CYBOZU_BENCH_C("encG1pre", C, ppub.enc, c1, m);
    CYBOZU_BENCH_C("encG2pre", C, ppub.enc, c2, m);
    CYBOZU_BENCH_C("encGTpre", C, ppub.enc, ct, m);

    CYBOZU_BENCH_C("decG1   ", C, sec.dec, c1);
    CYBOZU_BENCH_C("decG2   ", C, sec.dec, c2);
    CYBOZU_BENCH_C("degGT   ", C, sec.dec, ct);

    CYBOZU_BENCH_C("CT:mul  ", C, CipherTextGT::mul, ct, c1, c2);
    CYBOZU_BENCH_C("CT:mulML", C, CipherTextGT::mulML, ct, c1, c2);
    CYBOZU_BENCH_C("CT:finalExp", C, CipherTextGT::finalExp, ct, ct);

    CYBOZU_BENCH_C("addG1   ", C, CipherTextG1::add, c1, c1, c1);
    CYBOZU_BENCH_C("addG2   ", C, CipherTextG2::add, c2, c2, c2);
    CYBOZU_BENCH_C("addGT   ", C, CipherTextGT::add, ct, ct, ct);
    CYBOZU_BENCH_C("reRandG1", C, pub.reRand, c1);
    CYBOZU_BENCH_C("reRandG2", C, pub.reRand, c2);
    CYBOZU_BENCH_C("reRandGT", C, pub.reRand, ct);
    CYBOZU_BENCH_C("reRandG1pre", C, ppub.reRand, c1);
    CYBOZU_BENCH_C("reRandG2pre", C, ppub.reRand, c2);
    CYBOZU_BENCH_C("reRandGTpre", C, ppub.reRand, ct);
    CYBOZU_BENCH_C("mulG1   ", C, CipherTextG1::mul, c1, c1, m);
    CYBOZU_BENCH_C("mulG2   ", C, CipherTextG2::mul, c2, c2, m);
    CYBOZU_BENCH_C("mulGT   ", C, CipherTextGT::mul, ct, ct, m);

    CYBOZU_BENCH_C("convG1toGT", C, pub.convert, ct, c1);
    CYBOZU_BENCH_C("convG2toGT", C, pub.convert, ct, c2);
}
#endif

CYBOZU_TEST_AUTO(liftedElGamal)
{
    const size_t hashSize = 1024;
    initG1only(mcl::ecparam::secp192k1, hashSize);
    const size_t byteSize = 192 / 8;
    SecretKey sec;
    sec.setByCSPRNG();
    PublicKey pub;
    sec.getPublicKey(pub);
    CipherTextG1 c1, c2, c3;
    int m1 = 12, m2 = 34;
    pub.enc(c1, m1);
    pub.enc(c2, m2);
    CYBOZU_TEST_EQUAL(sec.dec(c1), m1);
    CYBOZU_TEST_EQUAL(sec.dec(c2), m2);
    add(c3, c1, c2);
    CYBOZU_TEST_EQUAL(sec.dec(c3), m1 + m2);
    neg(c1, c2);
    CYBOZU_TEST_EQUAL(sec.dec(c1), -m2);
    mul(c1, c2, m1);
    CYBOZU_TEST_EQUAL(sec.dec(c1), m2 * m1);

    char buf[1024];
    size_t n = sec.serialize(buf, sizeof(buf));
    CYBOZU_TEST_EQUAL(n, byteSize);
    SecretKey sec2;
    n = sec2.deserialize(buf, n);
    CYBOZU_TEST_EQUAL(n, byteSize);
    CYBOZU_TEST_EQUAL(sec, sec2);

    n = pub.serialize(buf, sizeof(buf));
    CYBOZU_TEST_EQUAL(n, byteSize + 1); // +1 is for sign of y
    PublicKey pub2;
    n = pub2.deserialize(buf, n);
    CYBOZU_TEST_EQUAL(n, byteSize + 1);
    CYBOZU_TEST_EQUAL(pub, pub2);

    PublicKey pub3;
    sec2.getPublicKey(pub3);
    CYBOZU_TEST_EQUAL(pub, pub3);
}