#include #if CYBOZU_OS_BIT == 32 // not support #else #include #include #include #include #include #include #include #include #include typedef mcl::FpT<> Fp; const int MAX_N = 4; const char *primeTable[] = { "7fffffffffffffffffffffffffffffff", // 127bit(not full) "ffffffffffffffffffffffffffffff61", // 128bit(full) "fffffffffffffffffffffffffffffffffffffffeffffee37", // 192bit(full) "2523648240000001ba344d80000000086121000000000013a700000000000013", // 254bit(not full) }; /* p is output buffer pStr is hex return the size of p */ int convertToArray(uint64_t *p, const mpz_class& x) { const int pn = int(sizeof(mp_limb_t) * x.get_mpz_t()->_mp_size / sizeof(*p)); if (pn > MAX_N) { printf("pn(%d) is too large\n", pn); exit(1); } const uint64_t *q = (const uint64_t*)x.get_mpz_t()->_mp_d; std::copy(q, q + pn, p); std::fill(p + pn, p + MAX_N, 0); return pn; } int convertToArray(uint64_t *p, const char *pStr) { mpz_class x; x.set_str(pStr, 16); return convertToArray(p, x); } struct Int { int vn; uint64_t v[MAX_N]; Int() : vn(0) { } explicit Int(int vn) { if (vn > MAX_N) { printf("vn(%d) is too large\n", vn); exit(1); } this->vn = vn; } void set(const char *str) { fromStr(str); } void set(const Fp& rhs) { convertToArray(v, rhs.toGmp()); } void set(const uint64_t* x) { for (int i = 0; i < vn; i++) v[i] = x[i]; } void fromStr(const char *str) { convertToArray(v, str); } std::string toStr() const { std::string ret; for (int i = 0; i < vn; i++) { ret += cybozu::itohex(v[vn - 1 - i], false); } return ret; } void put(const char *msg = "") const { if (msg) printf("%s=", msg); printf("%s\n", toStr().c_str()); } bool operator==(const Int& rhs) const { if (vn != rhs.vn) return false; for (int i = 0; i < vn; i++) { if (v[i] != rhs.v[i]) return false; } return true; } bool operator!=(const Int& rhs) const { return !operator==(rhs); } bool operator==(const Fp& rhs) const { Int t(vn); t.set(rhs); return operator==(t); } bool operator!=(const Fp& rhs) const { return !operator==(rhs); } }; static inline std::ostream& operator<<(std::ostream& os, const Int& x) { return os << x.toStr(); } void testAddSub(const mcl::FpGenerator& fg, int pn) { Fp x, y; Int mx(pn), my(pn); x.fromStr("0x8811aabb23427cc"); y.fromStr("0x8811aabb23427cc11"); mx.set(x); my.set(y); for (int i = 0; i < 30; i++) { CYBOZU_TEST_EQUAL(mx, x); x += x; fg.add_(mx.v, mx.v, mx.v); } for (int i = 0; i < 30; i++) { CYBOZU_TEST_EQUAL(mx, x); x += y; fg.add_(mx.v, mx.v, my.v); } for (int i = 0; i < 30; i++) { CYBOZU_TEST_EQUAL(my, y); y -= x; fg.sub_(my.v, my.v, mx.v); } } void testNeg(const mcl::FpGenerator& fg, int pn) { Fp x; Int mx(pn), my(pn); const char *tbl[] = { "0", "0x12346", "0x11223344556677881122334455667788", "0x0abbccddeeffaabb0000000000000000", }; for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) { x.fromStr(tbl[i]); mx.set(x); x = -x; fg.neg_(mx.v, mx.v); CYBOZU_TEST_EQUAL(mx, x); } } void testMulI(const mcl::FpGenerator& fg, int pn) { cybozu::XorShift rg; for (int i = 0; i < 100; i++) { uint64_t x[MAX_N]; uint64_t z[MAX_N + 1]; rg.read(x, pn); uint64_t y = rg.get64(); mpz_class mx; mcl::Gmp::setRaw(mx, x, pn); mpz_class my; mcl::Gmp::set(my, y); mx *= my; uint64_t d = fg.mulI_(z, x, y); z[pn] = d; mcl::Gmp::setRaw(my, z, pn + 1); CYBOZU_TEST_EQUAL(mx, my); } { uint64_t x[MAX_N]; uint64_t z[MAX_N + 1]; rg.read(x, pn); uint64_t y = rg.get64(); CYBOZU_BENCH_C("mulI", 10000000, fg.mulI_, z, x, y); } } void testShr1(const mcl::FpGenerator& fg, int pn) { cybozu::XorShift rg; for (int i = 0; i < 100; i++) { uint64_t x[MAX_N]; uint64_t z[MAX_N]; rg.read(x, pn); mpz_class mx; mcl::Gmp::setRaw(mx, x, pn); mx >>= 1; fg.shr1_(z, x); mpz_class my; mcl::Gmp::setRaw(my, z, pn); CYBOZU_TEST_EQUAL(mx, my); } } void test(const char *pStr) { Fp::setModulo(pStr, 16); uint64_t p[MAX_N]; const int pn = convertToArray(p, pStr); printf("pn=%d\n", pn); mcl::FpGenerator fg; fg.init(p, pn); testAddSub(fg, pn); testNeg(fg, pn); testMulI(fg, pn); testShr1(fg, pn); } CYBOZU_TEST_AUTO(all) { for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(primeTable); i++) { printf("test prime i=%d\n", (int)i); test(primeTable[i]); } } #endif