/* large prime sample for 64-bit arch make USE_LLVM=1 CFLAGS_USER="-DMCL_MAX_OP_BIT_SIZE=768" */ #include #include #include typedef mcl::FpT<> Fp; typedef mcl::fp::Unit Unit; using namespace mcl::fp; #include "../src/low_gmp.hpp" const size_t N = 12; #if 0 void mulPre768(Unit *pz, const Unit *px, const Unit *py) { /* W = 1 << H (aW + b)(cW + d) = acW^2 + (ad + bc)W + bd ad + bc = (a + b)(c + d) - ac - bd */ const size_t H = N / 2; low_mul(pz, px, py); // bd low_mul(pz + N, px + H, py + H); // ac Unit a_b[H + 1]; Unit c_d[H + 1]; a_b[H] = low_add(a_b, px, px + H); // a + b c_d[H] = low_add(c_d, py, py + H); // c + d Unit work[N + H] = {}; low_mul(work, a_b, c_d); if (c_d[H]) low_add(work + H, work + H, c_d); if (a_b[H]) low_add(work + H, work + H, a_b); work[N] -= low_sub(work, work, pz); work[N] -= low_sub(work, work, pz + N); low_add(pz + H, pz + H, work); } void testMul() { mcl::fp::Unit ux[N], uy[N], a[N * 2], b[N * 2]; for (size_t i = 0; i < N; i++) { ux[i] = -i * i + 5; uy[i] = -i * i + 9; } low_mul<12>(a, ux, uy); mulPre768(b, ux, uy); for (size_t i = 0; i < N * 2; i++) { if (a[i] != b[i]) { printf("ERR %016llx %016llx\n", (long long)a[i], (long long)b[i]); } } puts("end testMul"); CYBOZU_BENCH("mulPre768", mulPre768, ux, ux, uy); } #endif void mulGmp(mpz_class& z, const mpz_class& x, const mpz_class& y, const mpz_class& p) { z = (x * y) % p; } void compareGmp(const std::string& pStr) { Fp::init(pStr); std::string xStr = "2104871209348712947120947102843728"; std::string s1, s2; { Fp x(xStr); CYBOZU_BENCH_C("mul by mcl", 1000, Fp::mul, x, x, x); std::ostringstream os; os << x; s1 = os.str(); } { const mpz_class p(pStr); mpz_class x(xStr); CYBOZU_BENCH_C("mul by GMP", 1000, mulGmp, x, x, x, p); std::ostringstream os; os << x; s2 = os.str(); } if (s1 != s2) { puts("ERR"); } } void test(const std::string& pStr, mcl::fp::Mode mode) { printf("test %s\n", mcl::fp::ModeToStr(mode)); Fp::init(pStr, mode); const mcl::fp::Op& op = Fp::getOp(); printf("bitSize=%d\n", (int)Fp::getBitSize()); mpz_class p(pStr); Fp x = 123456; Fp y; Fp::pow(y, x, p); std::cout << y << std::endl; if (x != y) { std::cout << "err:pow:" << y << std::endl; return; } const size_t N = 24; mcl::fp::Unit ux[N], uy[N]; for (size_t i = 0; i < N; i++) { ux[i] = -i * i + 5; uy[i] = -i * i + 9; } CYBOZU_BENCH("mulPre", op.fpDbl_mulPre, ux, ux, uy); CYBOZU_BENCH("sqrPre", op.fpDbl_sqrPre, ux, ux); CYBOZU_BENCH("add", op.fpDbl_add, ux, ux, ux); CYBOZU_BENCH("sub", op.fpDbl_sub, ux, ux, ux); CYBOZU_BENCH("addNC", op.fpDbl_addNC, ux, ux, ux); CYBOZU_BENCH("subNC", op.fpDbl_subNC, ux, ux, ux); CYBOZU_BENCH("mont", op.fpDbl_mod, ux, ux); CYBOZU_BENCH("mul", Fp::mul, x, x, x); compareGmp(pStr); } void testAll(const std::string& pStr) { test(pStr, mcl::fp::FP_GMP); test(pStr, mcl::fp::FP_GMP_MONT); #ifdef MCL_USE_LLVM test(pStr, mcl::fp::FP_LLVM); test(pStr, mcl::fp::FP_LLVM_MONT); #endif compareGmp(pStr); } int main() try { const char *pTbl[] = { "40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179207", "13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006083527", "776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908029627", }; for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(pTbl); i++) { testAll(pTbl[i]); } // testMul(); } catch (std::exception& e) { printf("err %s\n", e.what()); puts("make clean"); puts("make CFLAGS_USER=\"-DMCL_MAX_OP_BIT_SIZE=768\""); return 1; }