You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
490 lines
11 KiB
490 lines
11 KiB
#define PUT(x) std::cout << #x "=" << (x) << std::endl
|
|
#define CYBOZU_TEST_DISABLE_AUTO_RUN
|
|
#include <cybozu/test.hpp>
|
|
#include <cybozu/benchmark.hpp>
|
|
#include <cybozu/xorshift.hpp>
|
|
#include <time.h>
|
|
#include <mcl/fp.hpp>
|
|
#include <mcl/fp_tower.hpp>
|
|
|
|
#ifdef _MSC_VER
|
|
#pragma warning(disable : 4456)
|
|
#endif
|
|
|
|
#if MCL_MAX_BIT_SIZE >= 768
|
|
typedef mcl::FpT<mcl::FpTag, MCL_MAX_BIT_SIZE> Fp;
|
|
#else
|
|
typedef mcl::FpT<mcl::FpTag, 384> Fp;
|
|
#endif
|
|
typedef mcl::Fp2T<Fp> Fp2;
|
|
typedef mcl::FpDblT<Fp> FpDbl;
|
|
typedef mcl::Fp6T<Fp> Fp6;
|
|
typedef mcl::Fp12T<Fp> Fp12;
|
|
|
|
bool g_benchOnly = false;
|
|
|
|
void testFp2()
|
|
{
|
|
using namespace mcl;
|
|
puts(__FUNCTION__);
|
|
#if MCL_MAX_BIT_SIZE < 768
|
|
const size_t FpSize = 48;
|
|
CYBOZU_TEST_EQUAL(sizeof(Fp), FpSize);
|
|
CYBOZU_TEST_EQUAL(sizeof(Fp2), FpSize * 2);
|
|
CYBOZU_TEST_EQUAL(sizeof(Fp6), FpSize * 6);
|
|
CYBOZU_TEST_EQUAL(sizeof(Fp12), FpSize * 12);
|
|
#endif
|
|
Fp2 x, y, z;
|
|
x.a = 1;
|
|
x.b = 2;
|
|
|
|
{
|
|
std::stringstream os;
|
|
os << x;
|
|
os >> y;
|
|
CYBOZU_TEST_EQUAL(x, y);
|
|
}
|
|
y.a = 3;
|
|
y.b = 4;
|
|
/*
|
|
x = 1 + 2i
|
|
y = 3 + 4i
|
|
*/
|
|
Fp2::add(z, x, y);
|
|
CYBOZU_TEST_EQUAL(z, Fp2(4, 6));
|
|
Fp2::sub(z, x, y);
|
|
CYBOZU_TEST_EQUAL(z, Fp2(-2, -2));
|
|
Fp2::mul(z, x, y);
|
|
/*
|
|
(1 + 2i)(3 + 4i) = (3 - 8) + (4 + 6)i = -5 + 10i
|
|
*/
|
|
CYBOZU_TEST_EQUAL(z, Fp2(-5, 10));
|
|
Fp2::neg(z, z);
|
|
CYBOZU_TEST_EQUAL(z, Fp2(5, -10));
|
|
/*
|
|
xi = xi_a + i
|
|
(1 - 2i)(xi_a + i) = (xi_a + 2) + (1 - 2 xi_a)i
|
|
*/
|
|
z = Fp2(1, -2);
|
|
Fp2::mul_xi(z, z);
|
|
Fp a = Fp2::get_xi_a();
|
|
CYBOZU_TEST_EQUAL(z, Fp2(a + 2, a * (-2) + 1));
|
|
z = x * x;
|
|
Fp2::sqr(y, x);
|
|
CYBOZU_TEST_EQUAL(z, y);
|
|
x.a = -123456789;
|
|
x.b = 464652165165;
|
|
y = x * x;
|
|
Fp2::sqr(x, x);
|
|
CYBOZU_TEST_EQUAL(x, y);
|
|
{
|
|
std::ostringstream oss;
|
|
oss << x;
|
|
std::istringstream iss(oss.str());
|
|
Fp2 w;
|
|
iss >> w;
|
|
CYBOZU_TEST_EQUAL(x, w);
|
|
}
|
|
y = 1;
|
|
for (int i = 0; i < 10; i++) {
|
|
Fp2::pow(z, x, i);
|
|
CYBOZU_TEST_EQUAL(z, y);
|
|
y *= x;
|
|
}
|
|
/*
|
|
(a + bi)^p = a + bi if p % 4 = 1
|
|
(a + bi)^p = a - bi if p % 4 = 3
|
|
*/
|
|
{
|
|
const mpz_class& mp = Fp::getOp().mp;
|
|
y = x;
|
|
Fp2::pow(z, y, mp);
|
|
if ((mp % 4) == 3) {
|
|
Fp::neg(z.b, z.b);
|
|
}
|
|
CYBOZU_TEST_EQUAL(z, y);
|
|
}
|
|
{
|
|
mpz_class t = Fp::getOp().mp;
|
|
t /= 2;
|
|
Fp x;
|
|
x.setMpz(t);
|
|
CYBOZU_TEST_EQUAL(x * 2, Fp(-1));
|
|
t += 1;
|
|
x.setMpz(t);
|
|
CYBOZU_TEST_EQUAL(x * 2, 1);
|
|
}
|
|
{
|
|
Fp2 a(1, 1);
|
|
Fp2 b(1, -1);
|
|
Fp2 c(Fp2(2) / a);
|
|
CYBOZU_TEST_EQUAL(c, b);
|
|
CYBOZU_TEST_EQUAL(a * b, Fp2(2));
|
|
CYBOZU_TEST_EQUAL(a * c, Fp2(2));
|
|
}
|
|
y = x;
|
|
Fp2::inv(y, x);
|
|
y *= x;
|
|
CYBOZU_TEST_EQUAL(y, 1);
|
|
|
|
// square root
|
|
for (int i = 0; i < 3; i++) {
|
|
x.a = i * i + i * 2;
|
|
x.b = i;
|
|
Fp2::sqr(y, x);
|
|
CYBOZU_TEST_ASSERT(Fp2::squareRoot(z, y));
|
|
CYBOZU_TEST_EQUAL(z * z, y);
|
|
CYBOZU_TEST_ASSERT(Fp2::squareRoot(y, y));
|
|
CYBOZU_TEST_EQUAL(z * z, y * y);
|
|
x.b = 0;
|
|
Fp2::sqr(y, x);
|
|
CYBOZU_TEST_ASSERT(Fp2::squareRoot(z, y));
|
|
CYBOZU_TEST_EQUAL(z * z, y);
|
|
x.a = 0;
|
|
x.b = i * i + i * 3;
|
|
Fp2::sqr(y, x);
|
|
CYBOZU_TEST_ASSERT(Fp2::squareRoot(z, y));
|
|
CYBOZU_TEST_EQUAL(z * z, y);
|
|
}
|
|
|
|
// serialize
|
|
for (int i = 0; i < 2; i++) {
|
|
Fp::setETHserialization(i == 0);
|
|
Fp2 x, y;
|
|
x.setStr("0x1234567789345 0x23424324");
|
|
char buf[256];
|
|
size_t n = x.serialize(buf, sizeof(buf));
|
|
CYBOZU_TEST_ASSERT(n > 0);
|
|
CYBOZU_TEST_EQUAL(y.deserialize(buf, n), n);
|
|
CYBOZU_TEST_EQUAL(x, y);
|
|
}
|
|
}
|
|
|
|
void testFp6sqr(const Fp2& a, const Fp2& b, const Fp2& c, const Fp6& x)
|
|
{
|
|
Fp2 t;
|
|
t = b * c * 2;
|
|
Fp2::mul_xi(t, t);
|
|
t += a * a;
|
|
CYBOZU_TEST_EQUAL(x.a, t);
|
|
t = c * c;
|
|
Fp2::mul_xi(t, t);
|
|
t += a * b * 2;
|
|
CYBOZU_TEST_EQUAL(x.b, t);
|
|
t = b * b + a * c * 2;
|
|
CYBOZU_TEST_EQUAL(x.c, t);
|
|
}
|
|
|
|
void testFp6()
|
|
{
|
|
using namespace mcl;
|
|
puts(__FUNCTION__);
|
|
Fp2 a(1, 2), b(3, 4), c(5, 6);
|
|
Fp6 x(a, b, c);
|
|
Fp6 y(Fp2(-1, 1), Fp2(4, -3), Fp2(-6, 2));
|
|
Fp6 z, w;
|
|
{
|
|
std::stringstream ss;
|
|
ss << x;
|
|
ss >> z;
|
|
CYBOZU_TEST_EQUAL(x, z);
|
|
}
|
|
Fp6::add(z, x, y);
|
|
CYBOZU_TEST_EQUAL(z, Fp6(Fp2(0, 3), Fp2(7, 1), Fp2(-1, 8)));
|
|
Fp6::sub(z, x, y);
|
|
CYBOZU_TEST_EQUAL(z, Fp6(Fp2(2, 1), Fp2(-1, 7), Fp2(11, 4)));
|
|
Fp6::neg(z, x);
|
|
CYBOZU_TEST_EQUAL(z, Fp6(-a, -b, -c));
|
|
Fp6::sqr(z, x);
|
|
Fp6::mul(w, x, x);
|
|
testFp6sqr(a, b, c, z);
|
|
testFp6sqr(a, b, c, w);
|
|
z = x;
|
|
Fp6::sqr(z, z);
|
|
Fp6::mul(w, x, x);
|
|
testFp6sqr(a, b, c, z);
|
|
testFp6sqr(a, b, c, w);
|
|
for (int i = 0; i < 10; i++) {
|
|
Fp6::inv(y, x);
|
|
Fp6::mul(z, y, x);
|
|
CYBOZU_TEST_EQUAL(z, 1);
|
|
x += y;
|
|
y = x;
|
|
Fp6::inv(y, y);
|
|
y *= x;
|
|
CYBOZU_TEST_EQUAL(y, 1);
|
|
}
|
|
}
|
|
|
|
void testFp12()
|
|
{
|
|
puts(__FUNCTION__);
|
|
Fp6 xa(Fp2(1, 2), Fp2(3, 4), Fp2(5, 6));
|
|
Fp6 xb(Fp2(3, 1), Fp2(6, -1), Fp2(-2, 5));
|
|
Fp12 x(xa, xb);
|
|
Fp6 ya(Fp2(2, 1), Fp2(5, 3), Fp2(4, 1));
|
|
Fp6 yb(Fp2(1, -3), Fp2(2, -1), Fp2(-3, 1));
|
|
Fp12 y(ya, yb);
|
|
Fp12 z;
|
|
Fp12::add(z, x, y);
|
|
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))));
|
|
Fp12::sub(z, x, y);
|
|
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))));
|
|
Fp12::neg(z, x);
|
|
CYBOZU_TEST_EQUAL(z, Fp12(-xa, -xb));
|
|
|
|
y.b.clear();
|
|
z = y;
|
|
Fp12::sqr(z, z);
|
|
CYBOZU_TEST_EQUAL(z.a, y.a * y.a);
|
|
z = y * y;
|
|
CYBOZU_TEST_EQUAL(z.a, y.a * y.a);
|
|
CYBOZU_TEST_ASSERT(z.b.isZero());
|
|
Fp12 w;
|
|
y = x;
|
|
z = x * x;
|
|
w = x;
|
|
Fp12::sqr(w, w);
|
|
CYBOZU_TEST_EQUAL(z, w);
|
|
y = x;
|
|
y *= y;
|
|
Fp12::sqr(x, x);
|
|
CYBOZU_TEST_EQUAL(x, y);
|
|
for (int i = 0; i < 10; i++) {
|
|
w = x;
|
|
Fp12::inv(w, w);
|
|
Fp12::mul(y, w, x);
|
|
CYBOZU_TEST_EQUAL(y, 1);
|
|
x += y;
|
|
}
|
|
}
|
|
|
|
void testFpDbl()
|
|
{
|
|
puts(__FUNCTION__);
|
|
{
|
|
std::string pstr;
|
|
Fp::getModulo(pstr);
|
|
mpz_class mp(pstr);
|
|
mp <<= Fp::getUnitSize() * mcl::fp::UnitBitSize;
|
|
mpz_class mp1 = mp - 1;
|
|
mcl::gmp::getStr(pstr, mp1);
|
|
const char *tbl[] = {
|
|
"0", "1", "123456", "123456789012345668909", pstr.c_str(),
|
|
};
|
|
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
|
|
mpz_class mx(tbl[i]);
|
|
FpDbl x;
|
|
x.setMpz(mx);
|
|
for (size_t j = 0; j < CYBOZU_NUM_OF_ARRAY(tbl); j++) {
|
|
FpDbl y, z;
|
|
mpz_class mz, mo;
|
|
mpz_class my(tbl[j]);
|
|
y.setMpz(my);
|
|
FpDbl::add(z, x, y);
|
|
mcl::gmp::addMod(mo, mx, my, mp);
|
|
z.getMpz(mz);
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
mcl::gmp::subMod(mo, mx, my, mp);
|
|
FpDbl::sub(z, x, y);
|
|
z.getMpz(mz);
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
if (!Fp::isFullBit()) {
|
|
FpDbl::addPre(z, x, y);
|
|
mo = mx + my;
|
|
z.getMpz(mz);
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
if (mx >= my) {
|
|
FpDbl::subPre(z, x, y);
|
|
mo = mx - my;
|
|
z.getMpz(mz);
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
{
|
|
std::string pstr;
|
|
Fp::getModulo(pstr);
|
|
const mpz_class mp(pstr);
|
|
cybozu::XorShift rg;
|
|
for (int i = 0; i < 3; i++) {
|
|
Fp x, y, z;
|
|
mpz_class mx, my, mz, mo;
|
|
x.setRand(rg);
|
|
y.setRand(rg);
|
|
x.getMpz(mx);
|
|
y.getMpz(my);
|
|
FpDbl d;
|
|
FpDbl::mulPre(d, x, y);
|
|
d.getMpz(mz);
|
|
{
|
|
Fp tx, ty;
|
|
tx = x;
|
|
ty = y;
|
|
tx.toMont();
|
|
ty.toMont();
|
|
mpz_class mtx, mty;
|
|
tx.getMpz(mtx);
|
|
ty.getMpz(mty);
|
|
mo = mtx * mty;
|
|
}
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
|
|
FpDbl::mod(z, d);
|
|
z.getMpz(mz);
|
|
mo = (mx * my) % mp;
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
CYBOZU_TEST_EQUAL(z, x * y);
|
|
|
|
FpDbl::sqrPre(d, x);
|
|
d.getMpz(mz);
|
|
{
|
|
Fp tx;
|
|
tx = x;
|
|
tx.toMont();
|
|
mpz_class mtx;
|
|
tx.getMpz(mtx);
|
|
mo = mtx * mtx;
|
|
}
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
|
|
FpDbl::mod(z, d);
|
|
z.getMpz(mz);
|
|
mo = (mx * mx) % mp;
|
|
CYBOZU_TEST_EQUAL(mz, mo);
|
|
CYBOZU_TEST_EQUAL(z, x * x);
|
|
}
|
|
}
|
|
}
|
|
|
|
void testIo()
|
|
{
|
|
int modeTbl[] = { 0, 2, 2 | mcl::IoPrefix, 10, 16, 16 | mcl::IoPrefix, mcl::IoArray, mcl::IoArrayRaw };
|
|
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(modeTbl); i++) {
|
|
int ioMode = modeTbl[i];
|
|
Fp12 x;
|
|
for (int j = 0; j < 12; j++) {
|
|
x.getFp0()[j] = j * j;
|
|
}
|
|
std::string s = x.getStr(ioMode);
|
|
Fp12 y;
|
|
y.setStr(s, ioMode);
|
|
CYBOZU_TEST_EQUAL(x, y);
|
|
}
|
|
}
|
|
|
|
void benchFp2()
|
|
{
|
|
puts(__FUNCTION__);
|
|
Fp2 x, y;
|
|
x.a.setStr("4");
|
|
x.b.setStr("464652165165");
|
|
y = x * x;
|
|
double addT, subT, mulT, sqrT, invT, mul_xiT;
|
|
CYBOZU_BENCH_T(addT, Fp2::add, x, x, y);
|
|
CYBOZU_BENCH_T(subT, Fp2::sub, x, x, y);
|
|
CYBOZU_BENCH_T(mulT, Fp2::mul, x, x, y);
|
|
CYBOZU_BENCH_T(sqrT, Fp2::sqr, x, x);
|
|
CYBOZU_BENCH_T(invT, Fp2::inv, x, x);
|
|
CYBOZU_BENCH_T(mul_xiT, Fp2::mul_xi, x, x);
|
|
// CYBOZU_BENCH("Fp2::mul_Fp_0", Fp2::mul_Fp_0, x, x, Param::half);
|
|
// CYBOZU_BENCH("Fp2::mul_Fp_1", Fp2::mul_Fp_1, x, Param::half);
|
|
// CYBOZU_BENCH("Fp2::divBy2 ", Fp2::divBy2, x, x);
|
|
// CYBOZU_BENCH("Fp2::divBy4 ", Fp2::divBy4, x, x);
|
|
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);
|
|
}
|
|
|
|
void test(const char *p, mcl::fp::Mode mode)
|
|
{
|
|
const int xi_a = 1;
|
|
Fp::init(xi_a, p, mode);
|
|
printf("mode=%s\n", mcl::fp::ModeToStr(mode));
|
|
Fp2::init();
|
|
printf("bitSize=%d\n", (int)Fp::getBitSize());
|
|
#if 0
|
|
if (Fp::getBitSize() > 256) {
|
|
printf("not support p=%s\n", p);
|
|
return;
|
|
}
|
|
#endif
|
|
if (g_benchOnly) {
|
|
benchFp2();
|
|
return;
|
|
}
|
|
testFp2();
|
|
testFpDbl();
|
|
testFp6();
|
|
testFp12();
|
|
testIo();
|
|
}
|
|
|
|
void testAll()
|
|
{
|
|
const char *tbl[] = {
|
|
// N = 2
|
|
"0x0000000000000001000000000000000d",
|
|
"0x7fffffffffffffffffffffffffffffff",
|
|
"0x8000000000000000000000000000001d",
|
|
"0xffffffffffffffffffffffffffffff61",
|
|
|
|
// N = 3
|
|
"0x000000000000000100000000000000000000000000000033", // min prime
|
|
"0x00000000fffffffffffffffffffffffffffffffeffffac73",
|
|
"0x0000000100000000000000000001b8fa16dfab9aca16b6b3",
|
|
"0x000000010000000000000000000000000000000000000007",
|
|
"0x30000000000000000000000000000000000000000000002b",
|
|
"0x70000000000000000000000000000000000000000000001f",
|
|
"0x800000000000000000000000000000000000000000000005",
|
|
"0xfffffffffffffffffffffffffffffffeffffffffffffffff",
|
|
"0xfffffffffffffffffffffffffffffffffffffffeffffee37",
|
|
"0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d",
|
|
"0xffffffffffffffffffffffffffffffffffffffffffffff13", // max prime
|
|
|
|
// N = 4
|
|
"0x0000000000000001000000000000000000000000000000000000000000000085", // min prime
|
|
"0x2523648240000001ba344d80000000086121000000000013a700000000000013",
|
|
"0x7523648240000001ba344d80000000086121000000000013a700000000000017",
|
|
"0x800000000000000000000000000000000000000000000000000000000000005f",
|
|
"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43", // max prime
|
|
#if MCL_MAX_BIT_SIZE >= 384
|
|
// N = 6
|
|
"0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab",
|
|
"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
|
|
#endif
|
|
#if MCL_MAX_BIT_SIZE >= 768
|
|
"776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908029627",
|
|
#endif
|
|
};
|
|
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
|
|
const char *p = tbl[i];
|
|
printf("prime=%s\n", p);
|
|
test(p, mcl::fp::FP_GMP);
|
|
#ifdef MCL_USE_LLVM
|
|
test(p, mcl::fp::FP_LLVM);
|
|
test(p, mcl::fp::FP_LLVM_MONT);
|
|
#endif
|
|
#ifdef MCL_USE_XBYAK
|
|
test(p, mcl::fp::FP_XBYAK);
|
|
#endif
|
|
}
|
|
}
|
|
|
|
CYBOZU_TEST_AUTO(testAll)
|
|
{
|
|
testAll();
|
|
}
|
|
|
|
int main(int argc, char *argv[])
|
|
{
|
|
if (argc > 1 && strcmp(argv[1], "-bench") == 0) {
|
|
g_benchOnly = true;
|
|
}
|
|
if (g_benchOnly) {
|
|
testAll();
|
|
return 0;
|
|
} else {
|
|
return cybozu::test::autoRun.run(argc, argv);
|
|
}
|
|
}
|
|
|