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418 lines
9.0 KiB
418 lines
9.0 KiB
#define PUT(x) std::cout << #x "=" << (x) << std::endl
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#define CYBOZU_TEST_DISABLE_AUTO_RUN
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#include <cybozu/test.hpp>
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#include <cybozu/benchmark.hpp>
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#include <cybozu/xorshift.hpp>
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#include <time.h>
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#include <mcl/fp.hpp>
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#include <mcl/fp_tower.hpp>
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typedef mcl::FpT<mcl::FpTag, 256> Fp;
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typedef mcl::Fp2T<Fp> Fp2;
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typedef mcl::FpDblT<Fp> FpDbl;
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typedef mcl::Fp6T<Fp> Fp6;
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typedef mcl::Fp12T<Fp> Fp12;
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bool g_benchOnly = false;
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void testFp2()
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{
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using namespace mcl;
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puts(__FUNCTION__);
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CYBOZU_TEST_EQUAL(sizeof(Fp), 32);
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CYBOZU_TEST_EQUAL(sizeof(Fp2), 32 * 2);
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CYBOZU_TEST_EQUAL(sizeof(Fp6), 32 * 6);
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CYBOZU_TEST_EQUAL(sizeof(Fp12), 32 * 12);
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Fp2 x, y, z;
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x.a = 1;
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x.b = 2;
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{
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std::stringstream os;
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os << x;
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os >> y;
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CYBOZU_TEST_EQUAL(x, y);
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}
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y.a = 3;
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y.b = 4;
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/*
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x = 1 + 2i
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y = 3 + 4i
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*/
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add(z, x, y);
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CYBOZU_TEST_EQUAL(z, Fp2(4, 6));
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sub(z, x, y);
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CYBOZU_TEST_EQUAL(z, Fp2(-2, -2));
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mul(z, x, y);
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/*
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(1 + 2i)(3 + 4i) = (3 - 8) + (4 + 6)i = -5 + 10i
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*/
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CYBOZU_TEST_EQUAL(z, Fp2(-5, 10));
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neg(z, z);
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CYBOZU_TEST_EQUAL(z, Fp2(5, -10));
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/*
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xi = xi_a + i
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(1 - 2i)(xi_a + i) = (xi_a + 2) + (1 - 2 xi_a)i
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*/
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z = Fp2(1, -2);
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Fp2::mul_xi(z, z);
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CYBOZU_TEST_EQUAL(z, Fp2(Fp2::getXi_a() + 2, Fp2::getXi_a() * (-2) + 1));
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z = x * x;
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sqr(y, x);
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CYBOZU_TEST_EQUAL(z, y);
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x.a = -123456789;
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x.b = 464652165165;
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y = x * x;
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sqr(x, x);
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CYBOZU_TEST_EQUAL(x, y);
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{
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std::ostringstream oss;
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oss << x;
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std::istringstream iss(oss.str());
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Fp2 w;
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iss >> w;
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CYBOZU_TEST_EQUAL(x, w);
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}
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y = 1;
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for (int i = 0; i < 10; i++) {
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pow(z, x, i);
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CYBOZU_TEST_EQUAL(z, y);
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y *= x;
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}
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/*
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(a + bi)^p = a + bi if p % 4 = 1
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(a + bi)^p = a - bi if p % 4 = 3
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*/
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{
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const mpz_class& mp = Fp::getOp().mp;
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y = x;
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pow(z, y, mp);
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if ((mp % 4) == 3) {
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neg(z.b, z.b);
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}
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CYBOZU_TEST_EQUAL(z, y);
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}
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{
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mpz_class t = Fp::getOp().mp;
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t /= 2;
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Fp x;
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x.setMpz(t);
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CYBOZU_TEST_EQUAL(x * 2, Fp(-1));
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t += 1;
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x.setMpz(t);
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CYBOZU_TEST_EQUAL(x * 2, 1);
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}
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{
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Fp2 a(1, 1);
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Fp2 b(1, -1);
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Fp2 c(Fp2(2) / a);
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CYBOZU_TEST_EQUAL(c, b);
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CYBOZU_TEST_EQUAL(a * b, Fp2(2));
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CYBOZU_TEST_EQUAL(a * c, Fp2(2));
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}
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y = x;
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inv(y, x);
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y *= x;
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CYBOZU_TEST_EQUAL(y, 1);
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}
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void testFp6sqr(const Fp2& a, const Fp2& b, const Fp2& c, const Fp6& x)
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{
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Fp2 t;
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t = b * c * 2;
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Fp2::mul_xi(t, t);
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t += a * a;
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CYBOZU_TEST_EQUAL(x.a, t);
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t = c * c;
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Fp2::mul_xi(t, t);
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t += a * b * 2;
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CYBOZU_TEST_EQUAL(x.b, t);
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t = b * b + a * c * 2;
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CYBOZU_TEST_EQUAL(x.c, t);
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}
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void testFp6()
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{
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using namespace mcl;
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puts(__FUNCTION__);
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Fp2 a(1, 2), b(3, 4), c(5, 6);
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Fp6 x(a, b, c);
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Fp6 y(Fp2(-1, 1), Fp2(4, -3), Fp2(-6, 2));
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Fp6 z, w;
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{
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std::stringstream ss;
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ss << x;
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ss >> z;
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CYBOZU_TEST_EQUAL(x, z);
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}
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add(z, x, y);
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CYBOZU_TEST_EQUAL(z, Fp6(Fp2(0, 3), Fp2(7, 1), Fp2(-1, 8)));
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sub(z, x, y);
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CYBOZU_TEST_EQUAL(z, Fp6(Fp2(2, 1), Fp2(-1, 7), Fp2(11, 4)));
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neg(z, x);
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CYBOZU_TEST_EQUAL(z, Fp6(-a, -b, -c));
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sqr(z, x);
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mul(w, x, x);
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testFp6sqr(a, b, c, z);
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testFp6sqr(a, b, c, w);
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z = x;
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sqr(z, z);
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mul(w, x, x);
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testFp6sqr(a, b, c, z);
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testFp6sqr(a, b, c, w);
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for (int i = 0; i < 10; i++) {
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inv(y, x);
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mul(z, y, x);
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CYBOZU_TEST_EQUAL(z, 1);
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x += y;
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y = x;
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inv(y, y);
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y *= x;
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CYBOZU_TEST_EQUAL(y, 1);
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}
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}
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void testFp12()
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{
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puts(__FUNCTION__);
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Fp6 xa(Fp2(1, 2), Fp2(3, 4), Fp2(5, 6));
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Fp6 xb(Fp2(3, 1), Fp2(6, -1), Fp2(-2, 5));
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Fp12 x(xa, xb);
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Fp6 ya(Fp2(2, 1), Fp2(5, 3), Fp2(4, 1));
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Fp6 yb(Fp2(1, -3), Fp2(2, -1), Fp2(-3, 1));
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Fp12 y(ya, yb);
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Fp12 z;
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Fp12::add(z, x, y);
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CYBOZU_TEST_EQUAL(z, Fp12(Fp6(Fp2(3, 3), Fp2(8, 7), Fp2(9, 7)), Fp6(Fp2(4, -2), Fp2(8, -2), Fp2(-5, 6))));
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Fp12::sub(z, x, y);
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CYBOZU_TEST_EQUAL(z, Fp12(Fp6(Fp2(-1, 1), Fp2(-2, 1), Fp2(1, 5)), Fp6(Fp2(2, 4), Fp2(4, 0), Fp2(1, 4))));
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Fp12::neg(z, x);
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CYBOZU_TEST_EQUAL(z, Fp12(-xa, -xb));
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y.b.clear();
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z = y;
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Fp12::sqr(z, z);
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CYBOZU_TEST_EQUAL(z.a, y.a * y.a);
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z = y * y;
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CYBOZU_TEST_EQUAL(z.a, y.a * y.a);
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CYBOZU_TEST_ASSERT(z.b.isZero());
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Fp12 w;
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y = x;
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z = x * x;
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w = x;
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Fp12::sqr(w, w);
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CYBOZU_TEST_EQUAL(z, w);
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y = x;
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y *= y;
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Fp12::sqr(x, x);
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CYBOZU_TEST_EQUAL(x, y);
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for (int i = 0; i < 10; i++) {
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w = x;
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Fp12::inv(w, w);
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Fp12::mul(y, w, x);
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CYBOZU_TEST_EQUAL(y, 1);
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x += y;
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}
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}
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void testFpDbl()
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{
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puts(__FUNCTION__);
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{
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std::string pstr;
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Fp::getModulo(pstr);
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mpz_class mp(pstr);
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mp <<= Fp::getUnitSize() * mcl::fp::UnitBitSize;
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mpz_class mp1 = mp - 1;
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mcl::gmp::getStr(pstr, mp1);
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const char *tbl[] = {
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"0", "1", "123456", "123456789012345668909", pstr.c_str(),
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};
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for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
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mpz_class mx(tbl[i]);
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FpDbl x;
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x.setMpz(mx);
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for (size_t j = 0; j < CYBOZU_NUM_OF_ARRAY(tbl); j++) {
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FpDbl y, z;
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mpz_class mz, mo;
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mpz_class my(tbl[j]);
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y.setMpz(my);
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FpDbl::add(z, x, y);
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mcl::gmp::addMod(mo, mx, my, mp);
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z.getMpz(mz);
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CYBOZU_TEST_EQUAL(mz, mo);
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mcl::gmp::subMod(mo, mx, my, mp);
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FpDbl::sub(z, x, y);
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z.getMpz(mz);
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CYBOZU_TEST_EQUAL(mz, mo);
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if (!Fp::isFullBit()) {
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FpDbl::addNC(z, x, y);
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mo = mx + my;
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z.getMpz(mz);
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CYBOZU_TEST_EQUAL(mz, mo);
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if (mx >= my) {
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FpDbl::subNC(z, x, y);
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mo = mx - my;
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z.getMpz(mz);
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CYBOZU_TEST_EQUAL(mz, mo);
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}
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}
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}
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}
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}
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{
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std::string pstr;
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Fp::getModulo(pstr);
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const mpz_class mp(pstr);
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cybozu::XorShift rg;
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for (int i = 0; i < 3; i++) {
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Fp x, y, z;
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mpz_class mx, my, mz, mo;
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x.setRand(rg);
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y.setRand(rg);
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x.getMpz(mx);
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y.getMpz(my);
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FpDbl d;
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FpDbl::mulPre(d, x, y);
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d.getMpz(mz);
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{
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Fp tx, ty;
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tx = x;
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ty = y;
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tx.toMont();
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ty.toMont();
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mpz_class mtx, mty;
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tx.getMpz(mtx);
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ty.getMpz(mty);
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mo = mtx * mty;
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}
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CYBOZU_TEST_EQUAL(mz, mo);
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FpDbl::mod(z, d);
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z.getMpz(mz);
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mo = (mx * my) % mp;
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CYBOZU_TEST_EQUAL(mz, mo);
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CYBOZU_TEST_EQUAL(z, x * y);
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FpDbl::sqrPre(d, x);
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d.getMpz(mz);
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{
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Fp tx;
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tx = x;
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tx.toMont();
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mpz_class mtx;
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tx.getMpz(mtx);
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mo = mtx * mtx;
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}
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CYBOZU_TEST_EQUAL(mz, mo);
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FpDbl::mod(z, d);
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z.getMpz(mz);
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mo = (mx * mx) % mp;
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CYBOZU_TEST_EQUAL(mz, mo);
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CYBOZU_TEST_EQUAL(z, x * x);
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}
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}
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}
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void benchFp2()
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{
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puts(__FUNCTION__);
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Fp2 x, y;
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x.a.setStr("4");
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x.b.setStr("464652165165");
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y = x * x;
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double addT, subT, mulT, sqrT, invT, mul_xiT;
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CYBOZU_BENCH_T(addT, Fp2::add, x, x, y);
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CYBOZU_BENCH_T(subT, Fp2::sub, x, x, y);
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CYBOZU_BENCH_T(mulT, Fp2::mul, x, x, y);
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CYBOZU_BENCH_T(sqrT, Fp2::sqr, x, x);
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CYBOZU_BENCH_T(invT, Fp2::inv, x, x);
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CYBOZU_BENCH_T(mul_xiT, Fp2::mul_xi, x, x);
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// CYBOZU_BENCH("Fp2::mul_Fp_0", Fp2::mul_Fp_0, x, x, Param::half);
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// CYBOZU_BENCH("Fp2::mul_Fp_1", Fp2::mul_Fp_1, x, Param::half);
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// CYBOZU_BENCH("Fp2::divBy2 ", Fp2::divBy2, x, x);
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// CYBOZU_BENCH("Fp2::divBy4 ", Fp2::divBy4, x, x);
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printf("add %8.2f|sub %8.2f|mul %8.2f|sqr %8.2f|inv %8.2f|mul_xi %8.2f\n", addT, subT, mulT, sqrT, invT, mul_xiT);
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}
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void test(const char *p, mcl::fp::Mode mode)
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{
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Fp::init(p, mode);
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printf("mode=%s\n", mcl::fp::ModeToStr(mode));
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const int xi_a = 1;
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Fp2::init(xi_a);
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if (Fp::getBitSize() > 256) {
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printf("not support p=%s\n", p);
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return;
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}
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if (g_benchOnly) {
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benchFp2();
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return;
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}
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testFp2();
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testFpDbl();
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testFp6();
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testFp12();
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}
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void testAll()
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{
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const char *tbl[] = {
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// N = 2
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"0x0000000000000001000000000000000d",
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"0x7fffffffffffffffffffffffffffffff",
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"0x8000000000000000000000000000001d",
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"0xffffffffffffffffffffffffffffff61",
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// N = 3
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"0x000000000000000100000000000000000000000000000033", // min prime
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"0x00000000fffffffffffffffffffffffffffffffeffffac73",
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"0x0000000100000000000000000001b8fa16dfab9aca16b6b3",
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"0x000000010000000000000000000000000000000000000007",
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"0x30000000000000000000000000000000000000000000002b",
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"0x70000000000000000000000000000000000000000000001f",
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"0x800000000000000000000000000000000000000000000005",
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"0xfffffffffffffffffffffffffffffffeffffffffffffffff",
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"0xfffffffffffffffffffffffffffffffffffffffeffffee37",
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"0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d",
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"0xffffffffffffffffffffffffffffffffffffffffffffff13", // max prime
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// N = 4
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"0x0000000000000001000000000000000000000000000000000000000000000085", // min prime
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"0x2523648240000001ba344d80000000086121000000000013a700000000000013",
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"0x7523648240000001ba344d80000000086121000000000013a700000000000017",
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"0x800000000000000000000000000000000000000000000000000000000000005f",
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"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43", // max prime
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};
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for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
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const char *p = tbl[i];
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printf("prime=%s %d\n", p, (int)(strlen(p) - 2) * 4);
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test(p, mcl::fp::FP_GMP);
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#ifdef MCL_USE_LLVM
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test(p, mcl::fp::FP_LLVM);
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test(p, mcl::fp::FP_LLVM_MONT);
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#endif
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#ifdef MCL_USE_XBYAK
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test(p, mcl::fp::FP_XBYAK);
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#endif
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}
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}
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CYBOZU_TEST_AUTO(testAll)
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{
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testAll();
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}
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int main(int argc, char *argv[])
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{
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if (argc > 1 && strcmp(argv[1], "-bench") == 0) {
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g_benchOnly = true;
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}
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if (g_benchOnly) {
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testAll();
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return 0;
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} else {
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return cybozu::test::autoRun.run(argc, argv);
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}
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}
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