a portable and fast pairing-based cryptography library
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mcl/test/fp_test.cpp

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23 KiB

#define PUT(x) std::cout << #x "=" << (x) << std::endl
#define CYBOZU_TEST_DISABLE_AUTO_RUN
#include <cybozu/test.hpp>
#include <mcl/fp.hpp>
#include "../src/low_func.hpp"
#include "../src/proto.hpp"
#include <time.h>
#include <cybozu/benchmark.hpp>
#include <cybozu/option.hpp>
#ifdef MCL_DONT_USE_OPENSSL
#include <cybozu/sha1.hpp>
#else
#include <cybozu/crypto.hpp>
#endif
#ifdef _MSC_VER
#pragma warning(disable: 4127) // const condition
#endif
typedef mcl::FpT<> Fp;
CYBOZU_TEST_AUTO(sizeof)
{
CYBOZU_TEST_EQUAL(sizeof(Fp), sizeof(mcl::fp::Unit) * Fp::maxSize);
}
void cstrTest()
{
const struct {
const char *str;
int val;
} tbl[] = {
{ "0", 0 },
{ "1", 1 },
{ "123", 123 },
{ "0x123", 0x123 },
{ "0b10101", 21 },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
// string cstr
Fp x(tbl[i].str);
CYBOZU_TEST_EQUAL(x, tbl[i].val);
// int cstr
Fp y(tbl[i].val);
CYBOZU_TEST_EQUAL(y, x);
// copy cstr
Fp z(x);
CYBOZU_TEST_EQUAL(z, x);
// assign int
Fp w;
w = tbl[i].val;
CYBOZU_TEST_EQUAL(w, x);
// assign self
Fp u;
u = w;
CYBOZU_TEST_EQUAL(u, x);
// conv
std::ostringstream os;
os << tbl[i].val;
std::string str;
x.getStr(str);
CYBOZU_TEST_EQUAL(str, os.str());
}
const struct {
const char *str;
int val;
} tbl2[] = {
{ "-123", 123 },
{ "-0x123", 0x123 },
{ "-0b10101", 21 },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl2); i++) {
Fp x(tbl2[i].str);
x = -x;
CYBOZU_TEST_EQUAL(x, tbl2[i].val);
}
}
void setStrTest()
{
const struct {
const char *in;
int out;
int base;
} tbl[] = {
{ "100", 100, 0 }, // set base = 10 if base = 0
{ "100", 4, 2 },
{ "100", 256, 16 },
{ "0b100", 4, 0 },
{ "0b100", 4, 2 },
{ "0x100", 256, 0 },
{ "0x100", 256, 16 },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
Fp x;
x.setStr(tbl[i].in, tbl[i].base);
CYBOZU_TEST_EQUAL(x, tbl[i].out);
}
// use prefix if base conflicts with prefix
{
Fp x;
CYBOZU_TEST_EXCEPTION(x.setStr("0b100", 16), cybozu::Exception);
CYBOZU_TEST_EXCEPTION(x.setStr("0b100", 10), cybozu::Exception);
CYBOZU_TEST_EXCEPTION(x.setStr("0x100", 2), cybozu::Exception);
CYBOZU_TEST_EXCEPTION(x.setStr("0x100", 10), cybozu::Exception);
}
}
void streamTest()
{
const struct {
const char *in;
int out10;
int out16;
} tbl[] = {
{ "100", 100, 256 }, // set base = 10 if base = 0
{ "0x100", 256, 256 },
};
Fp::setIoMode(0);
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
{
std::istringstream is(tbl[i].in);
Fp x;
is >> x;
CYBOZU_TEST_EQUAL(x, tbl[i].out10);
}
{
std::istringstream is(tbl[i].in);
Fp x;
is >> std::hex >> x;
CYBOZU_TEST_EQUAL(x, tbl[i].out16);
}
}
// use prefix if base conflicts with prefix
std::istringstream is("0b100");
Fp x;
CYBOZU_TEST_EXCEPTION(is >> std::hex >> x, cybozu::Exception);
{
std::ostringstream os;
os << Fp(123);
CYBOZU_TEST_EQUAL(os.str(), "123");
}
{
std::ostringstream os;
os << std::hex << Fp(0x123);
CYBOZU_TEST_EQUAL(os.str(), "123");
}
{
std::ostringstream os;
os << std::hex << std::showbase << Fp(0x123);
CYBOZU_TEST_EQUAL(os.str(), "0x123");
}
}
void ioModeTest()
{
Fp x(123);
const struct {
mcl::IoMode ioMode;
std::string expected;
} tbl[] = {
{ mcl::IoBin, "1111011" },
{ mcl::IoDec, "123" },
{ mcl::IoHex, "7b" },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
Fp::setIoMode(tbl[i].ioMode);
for (int j = 0; j < 2; j++) {
std::stringstream ss;
if (j == 1) {
ss << std::hex;
}
ss << x;
CYBOZU_TEST_EQUAL(ss.str(), tbl[i].expected);
Fp y;
y.clear();
ss >> y;
CYBOZU_TEST_EQUAL(x, y);
}
}
for (int i = 0; i < 2; i++) {
if (i == 0) {
Fp::setIoMode(mcl::IoArray);
} else {
Fp::setIoMode(mcl::IoArrayRaw);
}
std::stringstream ss;
ss << x;
CYBOZU_TEST_EQUAL(ss.str().size(), Fp::getByteSize());
Fp y;
ss >> y;
CYBOZU_TEST_EQUAL(x, y);
}
Fp::setIoMode(mcl::IoAuto);
}
void edgeTest()
{
const mpz_class& m = Fp::getOp().mp;
/*
real mont
0 0
1 R^-1
R 1
-1 -R^-1
-R -1
*/
mpz_class t = 1;
const size_t N = Fp::getUnitSize();
const mpz_class R = (t << (N * mcl::fp::UnitBitSize)) % m;
const mpz_class tbl[] = {
0, 1, R, m - 1, m - R
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
const mpz_class& x = tbl[i];
for (size_t j = i; j < CYBOZU_NUM_OF_ARRAY(tbl); j++) {
const mpz_class& y = tbl[j];
mpz_class z = (x * y) % m;
Fp xx, yy;
xx.setMpz(x);
yy.setMpz(y);
Fp zz = xx * yy;
zz.getMpz(t);
CYBOZU_TEST_EQUAL(z, t);
}
}
t = m;
t /= 2;
Fp x;
x.setMpz(t);
CYBOZU_TEST_EQUAL(x * 2, -1);
t += 1;
x.setMpz(t);
CYBOZU_TEST_EQUAL(x * 2, 1);
}
void convTest()
{
#if 1
const char *bin, *hex, *dec;
if (Fp::getBitSize() <= 117) {
bin = "0b1000000000000000000000000000000000000000000000000000000000001110";
hex = "0x800000000000000e";
dec = "9223372036854775822";
} else {
bin = "0b100100011010001010110011110001001000000010010001101000101011001111000100100000001001000110100010101100111100010010000";
hex = "0x123456789012345678901234567890";
dec = "94522879687365475552814062743484560";
}
#else
const char *bin = "0b1001000110100";
const char *hex = "0x1234";
const char *dec = "4660";
#endif
Fp b(bin);
Fp h(hex);
Fp d(dec);
CYBOZU_TEST_EQUAL(b, h);
CYBOZU_TEST_EQUAL(b, d);
std::string str;
b.getStr(str, mcl::IoBinPrefix);
CYBOZU_TEST_EQUAL(str, bin);
b.getStr(str);
CYBOZU_TEST_EQUAL(str, dec);
b.getStr(str, mcl::IoHexPrefix);
CYBOZU_TEST_EQUAL(str, hex);
}
void compareTest()
{
{
const struct {
int lhs;
int rhs;
int cmp;
} tbl[] = {
{ 0, 0, 0 },
{ 1, 0, 1 },
{ 0, 1, -1 },
{ -1, 0, 1 }, // m-1, 0
{ 0, -1, -1 }, // 0, m-1
{ 123, 456, -1 },
{ 456, 123, 1 },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
const Fp x(tbl[i].lhs);
const Fp y(tbl[i].rhs);
const int cmp = tbl[i].cmp;
if (cmp == 0) {
CYBOZU_TEST_EQUAL(x, y);
CYBOZU_TEST_ASSERT(x >= y);
CYBOZU_TEST_ASSERT(x <= y);
} else if (cmp > 0) {
CYBOZU_TEST_ASSERT(x > y);
CYBOZU_TEST_ASSERT(x >= y);
} else {
CYBOZU_TEST_ASSERT(x < y);
CYBOZU_TEST_ASSERT(x <= y);
}
}
}
{
Fp x(5);
CYBOZU_TEST_ASSERT(x < 10);
CYBOZU_TEST_ASSERT(x == 5);
CYBOZU_TEST_ASSERT(x > 2);
}
{
Fp x(1);
CYBOZU_TEST_ASSERT(x.isOne());
x = 2;
CYBOZU_TEST_ASSERT(!x.isOne());
}
{
const struct {
int v;
bool expected;
} tbl[] = {
{ 0, false },
{ 1, false },
{ -1, true },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
Fp x = tbl[i].v;
CYBOZU_TEST_EQUAL(x.isNegative(), tbl[i].expected);
}
std::string str;
Fp::getModulo(str);
char buf[1024];
size_t n = Fp::getModulo(buf, sizeof(buf));
CYBOZU_TEST_EQUAL(n, str.size());
CYBOZU_TEST_EQUAL(buf, str.c_str());
mpz_class half(str);
half = (half - 1) / 2;
Fp x;
x.setMpz(half - 1);
CYBOZU_TEST_ASSERT(!x.isNegative());
x.setMpz(half);
CYBOZU_TEST_ASSERT(!x.isNegative());
x.setMpz(half + 1);
CYBOZU_TEST_ASSERT(x.isNegative());
}
}
void moduloTest(const char *pStr)
{
std::cout << std::hex;
std::string str;
Fp::getModulo(str);
CYBOZU_TEST_EQUAL(str, mcl::gmp::getStr(mpz_class(pStr)));
}
void opeTest()
{
const struct {
int x;
int y;
int add; // x + y
int sub; // x - y
int mul; // x * y
int sqr; // x^2
} tbl[] = {
{ 0, 1, 1, -1, 0, 0 },
{ 9, 5, 14, 4, 45, 81 },
{ 10, 13, 23, -3, 130, 100 },
{ 2000, 1000, 3000, 1000, 2000 * 1000, 2000 * 2000 },
{ 12345, 9999, 12345 + 9999, 12345 - 9999, 12345 * 9999, 12345 * 12345 },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
const Fp x(tbl[i].x);
const Fp y(tbl[i].y);
Fp z;
Fp::add(z, x, y);
CYBOZU_TEST_EQUAL(z, tbl[i].add);
Fp::sub(z, x, y);
CYBOZU_TEST_EQUAL(z, tbl[i].sub);
Fp::mul(z, x, y);
CYBOZU_TEST_EQUAL(z, tbl[i].mul);
Fp r;
Fp::inv(r, y);
Fp::mul(z, z, r);
CYBOZU_TEST_EQUAL(z, tbl[i].x);
z = x + y;
CYBOZU_TEST_EQUAL(z, tbl[i].add);
z = x - y;
CYBOZU_TEST_EQUAL(z, tbl[i].sub);
z = x * y;
CYBOZU_TEST_EQUAL(z, tbl[i].mul);
Fp::sqr(z, x);
CYBOZU_TEST_EQUAL(z, tbl[i].sqr);
z = x / y;
z *= y;
CYBOZU_TEST_EQUAL(z, tbl[i].x);
}
if (!Fp::isFullBit()) {
Fp x(5), y(3), z;
Fp::addPre(z, x, y);
if (Fp::compareRaw(z, Fp::getP()) >= 0) {
Fp::subPre(z, z, Fp::getP());
}
CYBOZU_TEST_EQUAL(z, Fp(8));
if (Fp::compareRaw(x, y) < 0) {
Fp::addPre(x, x, Fp::getP());
}
Fp::subPre(x, x, y);
CYBOZU_TEST_EQUAL(x, Fp(2));
}
}
struct tag2;
void powTest()
{
Fp x, y, z;
x = 12345;
z = 1;
for (int i = 0; i < 100; i++) {
Fp::pow(y, x, i);
CYBOZU_TEST_EQUAL(y, z);
z *= x;
}
x = z;
Fp::pow(z, x, Fp::getOp().mp - 1);
CYBOZU_TEST_EQUAL(z, 1);
Fp::pow(z, x, Fp::getOp().mp);
CYBOZU_TEST_EQUAL(z, x);
typedef mcl::FpT<tag2, 128> Fp_other;
Fp_other::init("1009");
x = 5;
Fp_other n = 3;
z = 3;
Fp::pow(x, x, z);
CYBOZU_TEST_EQUAL(x, 125);
x = 5;
Fp::pow(x, x, n);
CYBOZU_TEST_EQUAL(x, 125);
}
void mulUnitTest()
{
Fp x(-1), y, z;
for (unsigned int u = 0; u < 20; u++) {
Fp::mul(y, x, u);
Fp::mulUnit(z, x, u);
CYBOZU_TEST_EQUAL(y, z);
}
}
void powNegTest()
{
Fp x, y, z;
x = 12345;
z = 1;
Fp rx = 1 / x;
for (int i = 0; i < 100; i++) {
Fp::pow(y, x, -i);
CYBOZU_TEST_EQUAL(y, z);
z *= rx;
}
}
void powFpTest()
{
Fp x, y, z;
x = 12345;
z = 1;
for (int i = 0; i < 100; i++) {
Fp::pow(y, x, Fp(i));
CYBOZU_TEST_EQUAL(y, z);
z *= x;
}
}
void powGmp()
{
Fp x, y, z;
x = 12345;
z = 1;
for (int i = 0; i < 100; i++) {
Fp::pow(y, x, mpz_class(i));
CYBOZU_TEST_EQUAL(y, z);
z *= x;
}
}
struct TagAnother;
void anotherFpTest(mcl::fp::Mode mode)
{
typedef mcl::FpT<TagAnother, 128> G;
G::init("13", mode);
G a = 3;
G b = 9;
a *= b;
CYBOZU_TEST_EQUAL(a, 1);
}
void setArrayTest1()
{
char b1[] = { 0x56, 0x34, 0x12 };
Fp x;
x.setArray(b1, 3);
CYBOZU_TEST_EQUAL(x, 0x123456);
int b2[] = { 0x12, 0x34 };
x.setArray(b2, 2);
CYBOZU_TEST_EQUAL(x, Fp("0x3400000012"));
}
void setArrayTest2(mcl::fp::Mode mode)
{
Fp::init("0x10000000000001234567a5", mode);
const struct {
uint32_t buf[3];
size_t bufN;
const char *expected;
} tbl[] = {
{ { 0x234567a4, 0x00000001, 0x00100000}, 1, "0x234567a4" },
{ { 0x234567a4, 0x00000001, 0x00100000}, 2, "0x1234567a4" },
{ { 0x234567a4, 0x00000001, 0x00080000}, 3, "0x08000000000001234567a4" },
{ { 0x234567a4, 0x00000001, 0x00100000}, 3, "0x10000000000001234567a4" },
};
Fp x;
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
x.setArray(tbl[i].buf, tbl[i].bufN);
CYBOZU_TEST_EQUAL(x, Fp(tbl[i].expected));
}
uint32_t large[3] = { 0x234567a5, 0x00000001, 0x00100000};
CYBOZU_TEST_EXCEPTION(x.setArray(large, 3), cybozu::Exception);
}
void setArrayMaskTest1()
{
char b1[] = { 0x56, 0x34, 0x12 };
Fp x;
x.setArrayMask(b1, 3);
CYBOZU_TEST_EQUAL(x, 0x123456);
int b2[] = { 0x12, 0x34 };
x.setArrayMask(b2, 2);
CYBOZU_TEST_EQUAL(x, Fp("0x3400000012"));
}
void setArrayMaskTest2(mcl::fp::Mode mode)
{
Fp::init("0x10000000000001234567a5", mode);
const struct {
uint32_t buf[3];
size_t bufN;
const char *expected;
} tbl[] = {
{ { 0x234567a4, 0x00000001, 0x00100000}, 1, "0x234567a4" },
{ { 0x234567a4, 0x00000001, 0x00100000}, 2, "0x1234567a4" },
{ { 0x234567a4, 0x00000001, 0x00100000}, 3, "0x10000000000001234567a4" },
{ { 0x234567a5, 0xfffffff1, 0xffffffff}, 3, "0x0ffffffffffff1234567a5" },
};
Fp x;
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
x.setArrayMask(tbl[i].buf, tbl[i].bufN);
CYBOZU_TEST_EQUAL(x, Fp(tbl[i].expected));
}
}
CYBOZU_TEST_AUTO(set64bit)
{
Fp::init("0x1000000000000000000f");
const struct {
const char *p;
int64_t i;
} tbl[] = {
{ "0x1234567812345678", int64_t(0x1234567812345678ull) },
{ "0xfffedcba987edcba997", -int64_t(0x1234567812345678ull) },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
Fp x(tbl[i].p);
Fp y(tbl[i].i);
CYBOZU_TEST_EQUAL(x, y);
}
}
void getUint64Test()
{
const uint64_t tbl[] = {
0, 1, 123, 0xffffffff, int64_t(0x7fffffffffffffffull)
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
uint64_t a = tbl[i];
Fp x(a);
uint64_t b = x.getUint64();
CYBOZU_TEST_ASSERT(!x.isNegative());
CYBOZU_TEST_EQUAL(a, b);
}
{
Fp x("0xffffffffffffffff");
CYBOZU_TEST_EQUAL(x.getUint64(), uint64_t(0xffffffffffffffffull));
}
{
Fp x("0x10000000000000000");
CYBOZU_TEST_EXCEPTION(x.getUint64(), cybozu::Exception);
x = -1;
CYBOZU_TEST_EXCEPTION(x.getUint64(), cybozu::Exception);
}
{
Fp x("0x10000000000000000");
bool b = true;
CYBOZU_TEST_EQUAL(x.getUint64(&b), 0u);
CYBOZU_TEST_ASSERT(!b);
}
}
void getInt64Test()
{
const int64_t tbl[] = {
0, 1, 123, 0xffffffff, int64_t(0x7fffffffffffffffull),
-1, -2, -12345678, int64_t(-9223372036854775808ull)/*-int64_t(1) << 63*/,
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
int64_t a = tbl[i];
Fp x(a);
CYBOZU_TEST_EQUAL(x.isNegative(), a < 0);
int64_t b = x.getInt64();
CYBOZU_TEST_EQUAL(a, b);
}
{
Fp x("0x8000000000000000");
CYBOZU_TEST_EXCEPTION(x.getInt64(), cybozu::Exception);
}
{
Fp x("0x8000000000000000");
bool b = true;
CYBOZU_TEST_EQUAL(x.getInt64(&b), 0u);
CYBOZU_TEST_ASSERT(!b);
}
}
void divBy2Test()
{
const int tbl[] = { -4, -3, -2, -1, 0, 1, 2, 3 };
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
Fp x(tbl[i]), y;
Fp::divBy2(y, x);
y *= 2;
CYBOZU_TEST_EQUAL(y, x);
y = x;
Fp::divBy2(y, y);
y *= 2;
CYBOZU_TEST_EQUAL(y, x);
}
}
void getStrTest()
{
Fp x(0);
std::string str;
str = x.getStr();
CYBOZU_TEST_EQUAL(str, "0");
str = x.getStr(mcl::IoBinPrefix);
CYBOZU_TEST_EQUAL(str, "0b0");
str = x.getStr(mcl::IoBin);
CYBOZU_TEST_EQUAL(str, "0");
str = x.getStr(mcl::IoHexPrefix);
CYBOZU_TEST_EQUAL(str, "0x0");
str = x.getStr(mcl::IoHex);
CYBOZU_TEST_EQUAL(str, "0");
x = 123;
str = x.getStr();
CYBOZU_TEST_EQUAL(str, "123");
str = x.getStr(mcl::IoBinPrefix);
CYBOZU_TEST_EQUAL(str, "0b1111011");
str = x.getStr(mcl::IoBin);
CYBOZU_TEST_EQUAL(str, "1111011");
str = x.getStr(mcl::IoHexPrefix);
CYBOZU_TEST_EQUAL(str, "0x7b");
str = x.getStr(mcl::IoHex);
CYBOZU_TEST_EQUAL(str, "7b");
{
std::ostringstream os;
os << x;
CYBOZU_TEST_EQUAL(os.str(), "123");
}
{
std::ostringstream os;
os << std::hex << std::showbase << x;
CYBOZU_TEST_EQUAL(os.str(), "0x7b");
}
{
std::ostringstream os;
os << std::hex << x;
CYBOZU_TEST_EQUAL(os.str(), "7b");
}
const char *tbl[] = {
"0x0",
"0x5",
"0x123",
"0x123456789012345679adbc",
"0xffffffff26f2fc170f69466a74defd8d",
"0x100000000000000000000000000000033",
"0x11ee12312312940000000000000000000000000002342343"
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
const char *s = tbl[i];
mpz_class mx(s);
if (mx >= Fp::getOp().mp) continue;
Fp y(s);
std::string xs, ys;
mcl::gmp::getStr(xs, mx, 16);
y.getStr(ys, 16);
CYBOZU_TEST_EQUAL(xs, ys);
}
}
void setHashOfTest()
{
const std::string msgTbl[] = {
"", "abc", "111111111111111111111111111111111111",
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(msgTbl); i++) {
#ifdef MCL_DONT_USE_OPENSSL
cybozu::Sha1 sha1;
std::string digest = sha1.digest(msgTbl[i]);
#else
size_t bitSize = Fp::getBitSize();
cybozu::crypto::Hash::Name name;
if (bitSize <= 256) {
name = cybozu::crypto::Hash::N_SHA256;
} else {
name = cybozu::crypto::Hash::N_SHA512;
}
std::string digest = cybozu::crypto::Hash::digest(name, msgTbl[i]);
#endif
Fp x, y;
x.setArrayMask(digest.c_str(), digest.size());
y.setHashOf(msgTbl[i]);
CYBOZU_TEST_EQUAL(x, y);
}
}
CYBOZU_TEST_AUTO(getArray)
{
const struct {
const char *s;
uint32_t v[4];
size_t vn;
} tbl[] = {
{ "0", { 0, 0, 0, 0 }, 1 },
{ "1234", { 1234, 0, 0, 0 }, 1 },
{ "0xaabbccdd12345678", { 0x12345678, 0xaabbccdd, 0, 0 }, 2 },
{ "0x11112222333344445555666677778888", { 0x77778888, 0x55556666, 0x33334444, 0x11112222 }, 4 },
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
mpz_class x(tbl[i].s);
const size_t bufN = 8;
uint32_t buf[bufN];
mcl::gmp::getArray(buf, bufN, x);
size_t n = mcl::fp::getNonZeroArraySize(buf, bufN);
CYBOZU_TEST_EQUAL(n, tbl[i].vn);
CYBOZU_TEST_EQUAL_ARRAY(buf, tbl[i].v, n);
}
}
#include <iostream>
#if (defined(MCL_USE_LLVM) || defined(MCL_USE_XBYAK)) && (MCL_MAX_BIT_SIZE >= 521)
CYBOZU_TEST_AUTO(mod_NIST_P521)
{
const size_t len = 521;
const size_t N = len / mcl::fp::UnitBitSize;
const char *tbl[] = {
"0",
"0xffffffff",
"0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0",
"0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
"0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"0x20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"0x20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff00111423424",
"0x11111111111111112222222222222222333333333333333344444444444444445555555555555555666666666666666677777777777777778888888888888888aaaaaaaaaaaaaaaabbbbbbbbbbbbbbbbccccccccccccccccddddddddddddddddeeeeeeeeeeeeeeeeffffffffffffffff1234712341234123412341234123412341234",
"0x3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
};
const char *p = "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff";
Fp::init(p, mcl::fp::FP_XBYAK);
const mpz_class mp(p);
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
mpz_class mx(tbl[i]);
mcl::fp::Unit in[N * 2 + 1] = {};
mcl::fp::Unit ok[N + 1];
mcl::fp::Unit ex[N + 1];
mcl::gmp::getArray(in, N * 2 + 1, mx);
mpz_class my = mx % mp;
mcl::gmp::getArray(ok, N + 1, my);
#ifdef MCL_USE_LLVM
mcl_fpDbl_mod_NIST_P521L(ex, in, Fp::getOp().p);
CYBOZU_TEST_EQUAL_ARRAY(ex, ok, N + 1);
#endif
#ifdef MCL_USE_XBYAK
const mcl::fp::Op& op = Fp::getOp();
if (!op.isMont) {
op.fpDbl_mod(ex, in, op.p);
CYBOZU_TEST_EQUAL_ARRAY(ex, ok, N + 1);
}
#endif
}
}
#endif
void sub(mcl::fp::Mode mode)
{
printf("mode=%s\n", mcl::fp::ModeToStr(mode));
const char *tbl[] = {
// N = 2
"0x0000000000000001000000000000000d",
"0x7fffffffffffffffffffffffffffffff",
"0x8000000000000000000000000000001d",
"0xffffffffffffffffffffffffffffff61",
// N = 3
"0x000000000000000100000000000000000000000000000033", // min prime
"0x00000000fffffffffffffffffffffffffffffffeffffac73",
"0x0000000100000000000000000001b8fa16dfab9aca16b6b3",
"0x000000010000000000000000000000000000000000000007",
"0x30000000000000000000000000000000000000000000002b",
"0x70000000000000000000000000000000000000000000001f",
"0x800000000000000000000000000000000000000000000005",
"0xfffffffffffffffffffffffffffffffffffffffeffffee37",
"0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d",
"0xffffffffffffffffffffffffffffffffffffffffffffff13", // max prime
// N = 4
"0x0000000000000001000000000000000000000000000000000000000000000085", // min prime
"0x2523648240000001ba344d80000000086121000000000013a700000000000013",
"0x7523648240000001ba344d80000000086121000000000013a700000000000017",
"0x800000000000000000000000000000000000000000000000000000000000005f",
"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43", // max prime
#if MCL_MAX_BIT_SIZE >= 384
// N = 6
"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
#endif
#if MCL_MAX_BIT_SIZE >= 521
// N = 9
"0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
#endif
};
for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) {
const char *pStr = tbl[i];
printf("prime=%s\n", pStr);
Fp::init(pStr, mode);
cstrTest();
setStrTest();
streamTest();
ioModeTest();
edgeTest();
convTest();
compareTest();
moduloTest(pStr);
opeTest();
mulUnitTest();
powTest();
powNegTest();
powFpTest();
powGmp();
setArrayTest1();
setArrayMaskTest1();
getUint64Test();
getInt64Test();
divBy2Test();
getStrTest();
setHashOfTest();
}
anotherFpTest(mode);
setArrayTest2(mode);
setArrayMaskTest2(mode);
}
std::string g_mode;
CYBOZU_TEST_AUTO(main)
{
if (g_mode.empty() || g_mode == "auto") {
sub(mcl::fp::FP_AUTO);
}
if (g_mode.empty() || g_mode == "gmp") {
sub(mcl::fp::FP_GMP);
}
if (g_mode.empty() || g_mode == "gmp_mont") {
sub(mcl::fp::FP_GMP_MONT);
}
#ifdef MCL_USE_LLVM
if (g_mode.empty() || g_mode == "llvm") {
sub(mcl::fp::FP_LLVM);
}
if (g_mode.empty() || g_mode == "llvm_mont") {
sub(mcl::fp::FP_LLVM_MONT);
}
#endif
#ifdef MCL_USE_XBYAK
if (g_mode.empty() || g_mode == "xbyak") {
sub(mcl::fp::FP_XBYAK);
}
#endif
}
CYBOZU_TEST_AUTO(copyUnitToByteAsLE)
{
using namespace mcl::fp;
#if MCL_SIZEOF_UNIT == 4
const Unit src[] = { 0x12345678, 0xaabbccdd, 0xffeeddcc, 0x87654321 };
#else
const Unit src[] = { uint64_t(0xaabbccdd12345678ull), uint64_t(0x87654321ffeeddcc) };
#endif
const uint8_t ok[] = { 0x78, 0x56, 0x34, 0x12, 0xdd, 0xcc, 0xbb, 0xaa, 0xcc, 0xdd, 0xee, 0xff, 0x21, 0x43, 0x65, 0x87 };
const size_t okN = CYBOZU_NUM_OF_ARRAY(ok);
for (size_t i = 0; i < okN; i++) {
uint8_t buf[okN] = {};
copyUnitToByteAsLE(buf, src, i);
CYBOZU_TEST_EQUAL_ARRAY(ok, buf, i);
}
mcl::fp::Unit dst[2];
for (size_t i = 1; i <= sizeof(dst); i++) {
memset(dst, 0xff, sizeof(dst));
mcl::fp::copyByteToUnitAsLE(dst, ok, i);
if (i < sizeof(Unit)) {
CYBOZU_TEST_EQUAL(src[0] & ((uint64_t(1) << (i * 8)) - 1), dst[0]);
CYBOZU_TEST_EQUAL(dst[1], Unit(-1));
continue;
}
CYBOZU_TEST_EQUAL(dst[0], src[0]);
if (i == sizeof(Unit)) {
CYBOZU_TEST_EQUAL(dst[1], Unit(-1));
continue;
}
if (i < sizeof(dst)) {
CYBOZU_TEST_EQUAL(src[1] & ((uint64_t(1) << ((i - sizeof(Unit)) * 8)) - 1), dst[1]);
continue;
}
CYBOZU_TEST_EQUAL(src[1], dst[1]);
}
dst[0] = 1;
copyByteToUnitAsLE(dst, ok, 0);
CYBOZU_TEST_EQUAL(dst[0], 1u);
}
int main(int argc, char *argv[])
try
{
cybozu::Option opt;
opt.appendOpt(&g_mode, "", "m", ": mode(auto/gmp/gmp_mont/llvm/llvm_mont/xbyak)");
opt.appendHelp("h", ": show this message");
if (!opt.parse(argc, argv)) {
opt.usage();
return 1;
}
return cybozu::test::autoRun.run(argc, argv);
} catch (std::exception& e) {
printf("ERR %s\n", e.what());
return 1;
}