/* include from bn_if256_test.cpp and bn_if384_test.cpp */ #include #include #include template std::ostream& dump(std::ostream& os, const uint64_t (&x)[N]) { for (size_t i = 0; i < N; i++) { char buf[64]; CYBOZU_SNPRINTF(buf, sizeof(buf), "%016llx", (long long)x[i]); os << buf; } return os; } CYBOZU_TEST_AUTO(init) { int ret; CYBOZU_TEST_EQUAL(sizeof(mclBnFr), sizeof(Fr)); CYBOZU_TEST_EQUAL(sizeof(mclBnG1), sizeof(G1)); CYBOZU_TEST_EQUAL(sizeof(mclBnG2), sizeof(G2)); CYBOZU_TEST_EQUAL(sizeof(mclBnGT), sizeof(Fp12)); // ret = mclBn_setErrFile("stderr"); // CYBOZU_TEST_EQUAL(ret, 0); #if MCLBN_FP_UNIT_SIZE == 4 printf("test MCLBN_curveFp254BNb %d\n", MCLBN_FP_UNIT_SIZE); ret = mclBn_init(mclBn_CurveFp254BNb, MCLBN_FP_UNIT_SIZE); #elif MCLBN_FP_UNIT_SIZE == 6 printf("test MCLBN_curveFp382_1 %d\n", MCLBN_FP_UNIT_SIZE); ret = mclBn_init(mclBn_CurveFp382_1, MCLBN_FP_UNIT_SIZE); #elif MCLBN_FP_UNIT_SIZE == 8 printf("test MCLBN_curveFp462 %d\n", MCLBN_FP_UNIT_SIZE); ret = mclBn_init(mclBn_CurveFp462, MCLBN_FP_UNIT_SIZE); #else #error "bad MCLBN_FP_UNIT_SIZE" #endif CYBOZU_TEST_EQUAL(ret, 0); if (ret != 0) exit(1); } CYBOZU_TEST_AUTO(Fr) { mclBnFr x, y; memset(&x, 0xff, sizeof(x)); CYBOZU_TEST_ASSERT(!mclBnFr_isValid(&x)); CYBOZU_TEST_ASSERT(!mclBnFr_isZero(&x)); mclBnFr_clear(&x); CYBOZU_TEST_ASSERT(mclBnFr_isZero(&x)); mclBnFr_setInt(&x, 1); CYBOZU_TEST_ASSERT(mclBnFr_isOne(&x)); mclBnFr_setInt(&y, -1); CYBOZU_TEST_ASSERT(!mclBnFr_isEqual(&x, &y)); y = x; CYBOZU_TEST_ASSERT(mclBnFr_isEqual(&x, &y)); mclBnFr_setHashOf(&x, "", 0); mclBnFr_setHashOf(&y, "abc", 3); CYBOZU_TEST_ASSERT(!mclBnFr_isEqual(&x, &y)); mclBnFr_setHashOf(&x, "abc", 3); CYBOZU_TEST_ASSERT(mclBnFr_isEqual(&x, &y)); char buf[1024]; mclBnFr_setInt(&x, 12345678); size_t size; size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_EQUAL(size, 8); CYBOZU_TEST_EQUAL(buf, "12345678"); mclBnFr_setInt(&x, -7654321); mclBnFr_neg(&x, &x); size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_EQUAL(size, 7); CYBOZU_TEST_EQUAL(buf, "7654321"); mclBnFr_setInt(&y, 123 - 7654321); mclBnFr_add(&x, &x, &y); size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_EQUAL(size, 3); CYBOZU_TEST_EQUAL(buf, "123"); mclBnFr_setInt(&y, 100); mclBnFr_sub(&x, &x, &y); size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_EQUAL(size, 2); CYBOZU_TEST_EQUAL(buf, "23"); mclBnFr_mul(&x, &x, &y); size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_EQUAL(size, 4); CYBOZU_TEST_EQUAL(buf, "2300"); mclBnFr_div(&x, &x, &y); size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_EQUAL(size, 2); CYBOZU_TEST_EQUAL(buf, "23"); mclBnFr_mul(&x, &y, &y); mclBnFr_sqr(&y, &y); CYBOZU_TEST_ASSERT(mclBnFr_isEqual(&x, &y)); const char *s = "12345678901234567"; CYBOZU_TEST_ASSERT(!mclBnFr_setStr(&x, s, strlen(s), 10)); s = "20000000000000000"; CYBOZU_TEST_ASSERT(!mclBnFr_setStr(&y, s, strlen(s), 10)); mclBnFr_add(&x, &x, &y); size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_EQUAL(size, 17); CYBOZU_TEST_EQUAL(buf, "32345678901234567"); mclBnFr_setInt(&x, 1); mclBnFr_neg(&x, &x); size = mclBnFr_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); CYBOZU_TEST_ASSERT(!mclBnFr_setStr(&y, buf, size, 10)); CYBOZU_TEST_ASSERT(mclBnFr_isEqual(&x, &y)); } CYBOZU_TEST_AUTO(G1) { mclBnG1 x, y, z; memset(&x, 0xff, sizeof(x)); CYBOZU_TEST_ASSERT(!mclBnG1_isValid(&x)); mclBnG1_clear(&x); CYBOZU_TEST_ASSERT(mclBnG1_isValid(&x)); CYBOZU_TEST_ASSERT(mclBnG1_isZero(&x)); CYBOZU_TEST_ASSERT(!mclBnG1_hashAndMapTo(&y, "abc", 3)); char buf[1024]; size_t size; size = mclBnG1_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); CYBOZU_TEST_ASSERT(!mclBnG1_setStr(&y, buf, strlen(buf), 10)); CYBOZU_TEST_ASSERT(mclBnG1_isEqual(&x, &y)); mclBnG1_neg(&x, &x); mclBnG1_add(&x, &x, &y); CYBOZU_TEST_ASSERT(mclBnG1_isZero(&x)); mclBnG1_dbl(&x, &y); // x = 2y mclBnG1_add(&z, &y, &y); CYBOZU_TEST_ASSERT(mclBnG1_isEqual(&x, &z)); mclBnG1_add(&z, &z, &y); // z = 3y mclBnFr n; mclBnFr_setInt(&n, 3); mclBnG1_mul(&x, &y, &n); // x = 3y CYBOZU_TEST_ASSERT(mclBnG1_isEqual(&x, &z)); mclBnG1_sub(&x, &x, &y); // x = 2y mclBnFr_setInt(&n, 2); mclBnG1_mul(&z, &y, &n); // z = 2y CYBOZU_TEST_ASSERT(mclBnG1_isEqual(&x, &z)); mclBnG1_normalize(&y, &z); CYBOZU_TEST_ASSERT(mclBnG1_isEqual(&y, &z)); } CYBOZU_TEST_AUTO(G2) { mclBnG2 x, y, z; memset(&x, 0xff, sizeof(x)); CYBOZU_TEST_ASSERT(!mclBnG2_isValid(&x)); mclBnG2_clear(&x); CYBOZU_TEST_ASSERT(mclBnG2_isValid(&x)); CYBOZU_TEST_ASSERT(mclBnG2_isZero(&x)); CYBOZU_TEST_ASSERT(!mclBnG2_hashAndMapTo(&x, "abc", 3)); char buf[1024]; size_t size; size = mclBnG2_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); CYBOZU_TEST_ASSERT(!mclBnG2_setStr(&y, buf, strlen(buf), 10)); CYBOZU_TEST_ASSERT(mclBnG2_isEqual(&x, &y)); mclBnG2_neg(&x, &x); mclBnG2_add(&x, &x, &y); CYBOZU_TEST_ASSERT(mclBnG2_isZero(&x)); mclBnG2_dbl(&x, &y); // x = 2y mclBnG2_add(&z, &y, &y); CYBOZU_TEST_ASSERT(mclBnG2_isEqual(&x, &z)); mclBnG2_add(&z, &z, &y); // z = 3y mclBnFr n; mclBnFr_setInt(&n, 3); mclBnG2_mul(&x, &y, &n); // x = 3y CYBOZU_TEST_ASSERT(mclBnG2_isEqual(&x, &z)); mclBnG2_sub(&x, &x, &y); // x = 2y mclBnFr_setInt(&n, 2); mclBnG2_mul(&z, &y, &n); // z = 2y CYBOZU_TEST_ASSERT(mclBnG2_isEqual(&x, &z)); mclBnG2_normalize(&y, &z); CYBOZU_TEST_ASSERT(mclBnG2_isEqual(&y, &z)); } CYBOZU_TEST_AUTO(GT) { mclBnGT x, y, z; memset(&x, 1, sizeof(x)); CYBOZU_TEST_ASSERT(!mclBnGT_isZero(&x)); mclBnGT_clear(&x); CYBOZU_TEST_ASSERT(mclBnGT_isZero(&x)); mclBnGT_setInt(&x, 1); CYBOZU_TEST_ASSERT(mclBnGT_isOne(&x)); char buf[2048]; size_t size; size = mclBnGT_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); const char *s = "1 0 0 0 0 0 0 0 0 0 0 0"; CYBOZU_TEST_EQUAL(buf, s); s = "1 2 3 4 5 6 7 8 9 10 11 12"; CYBOZU_TEST_ASSERT(!mclBnGT_setStr(&x,s , strlen(s), 10)); size = mclBnGT_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); CYBOZU_TEST_EQUAL(buf, s); y = x; CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&x, &y)); s = "-1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12"; CYBOZU_TEST_ASSERT(!mclBnGT_setStr(&z, s, strlen(s), 10)); size = mclBnGT_getStr(buf, sizeof(buf), &z, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); CYBOZU_TEST_ASSERT(!mclBnGT_setStr(&y, buf, size, 10)); mclBnGT_neg(&z, &y); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&x, &z)); mclBnGT_add(&y, &x, &y); CYBOZU_TEST_ASSERT(mclBnGT_isZero(&y)); s = "2 0 0 0 0 0 0 0 0 0 0 0"; CYBOZU_TEST_ASSERT(!mclBnGT_setStr(&y, s, strlen(s), 10)); mclBnGT_mul(&z, &x, &y); size = mclBnGT_getStr(buf, sizeof(buf), &z, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); CYBOZU_TEST_EQUAL(buf, "2 4 6 8 10 12 14 16 18 20 22 24"); mclBnGT_div(&z, &z, &y); size = mclBnGT_getStr(buf, sizeof(buf), &x, 10); CYBOZU_TEST_ASSERT(size > 0); CYBOZU_TEST_EQUAL(size, strlen(buf)); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&x, &z)); /* can't use mclBnGT_pow because x is not in GT */ mclBnFr n; mclBnFr_setInt(&n, 3); mclBnGT_powGeneric(&z, &x, &n); mclBnGT_mul(&y, &x, &x); mclBnGT_mul(&y, &y, &x); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&y, &z)); mclBnGT_mul(&x, &y, &y); mclBnGT_sqr(&y, &y); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&x, &y)); } CYBOZU_TEST_AUTO(pairing) { mclBnFr a, b, ab; mclBnFr_setInt(&a, 123); mclBnFr_setInt(&b, 456); mclBnFr_mul(&ab, &a, &b); mclBnG1 P, aP; mclBnG2 Q, bQ; mclBnGT e, e1, e2; CYBOZU_TEST_ASSERT(!mclBnG1_hashAndMapTo(&P, "1", 1)); CYBOZU_TEST_ASSERT(!mclBnG2_hashAndMapTo(&Q, "1", 1)); mclBnG1_mul(&aP, &P, &a); mclBnG2_mul(&bQ, &Q, &b); mclBn_pairing(&e, &P, &Q); mclBnGT_pow(&e1, &e, &a); mclBn_pairing(&e2, &aP, &Q); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&e1, &e2)); mclBnGT_pow(&e1, &e, &b); mclBn_pairing(&e2, &P, &bQ); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&e1, &e2)); mclBnFr n; mclBnFr_setInt(&n, 3); mclBnGT_pow(&e1, &e, &n); mclBnGT_mul(&e2, &e, &e); mclBnGT_mul(&e2, &e2, &e); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&e1, &e2)); } CYBOZU_TEST_AUTO(precomputed) { mclBnG1 P1, P2; mclBnG2 Q1, Q2; CYBOZU_TEST_ASSERT(!mclBnG1_hashAndMapTo(&P1, "1", 1)); CYBOZU_TEST_ASSERT(!mclBnG1_hashAndMapTo(&P2, "123", 3)); CYBOZU_TEST_ASSERT(!mclBnG2_hashAndMapTo(&Q1, "1", 1)); CYBOZU_TEST_ASSERT(!mclBnG2_hashAndMapTo(&Q2, "2", 1)); const int size = mclBn_getUint64NumToPrecompute(); std::vector Q1buf, Q2buf; Q1buf.resize(size); Q2buf.resize(size); mclBn_precomputeG2(Q1buf.data(), &Q1); mclBn_precomputeG2(Q2buf.data(), &Q2); mclBnGT e1, e2, f1, f2, f3; mclBn_pairing(&e1, &P1, &Q1); mclBn_precomputedMillerLoop(&f1, &P1, Q1buf.data()); mclBn_finalExp(&f1, &f1); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&e1, &f1)); mclBn_pairing(&e2, &P2, &Q2); mclBn_precomputedMillerLoop(&f2, &P2, Q2buf.data()); mclBn_finalExp(&f2, &f2); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&e2, &f2)); mclBn_precomputedMillerLoop2(&f3, &P1, Q1buf.data(), &P2, Q2buf.data()); mclBn_finalExp(&f3, &f3); mclBnGT_mul(&e1, &e1, &e2); CYBOZU_TEST_ASSERT(mclBnGT_isEqual(&e1, &f3)); } CYBOZU_TEST_AUTO(serialize) { const size_t G1Size = mclBn_getG1ByteSize(); mclBnFr x1, x2; mclBnG1 P1, P2; mclBnG2 Q1, Q2; char buf[1024]; size_t n; size_t expectSize; int ret; // Fr expectSize = G1Size; mclBnFr_setInt(&x1, -1); n = mclBnFr_serialize(buf, sizeof(buf), &x1); CYBOZU_TEST_EQUAL(n, expectSize); ret = mclBnFr_deserialize(&x2, buf, n); CYBOZU_TEST_EQUAL(ret, n); CYBOZU_TEST_ASSERT(mclBnFr_isEqual(&x1, &x2)); ret = mclBnFr_deserialize(&x2, buf, n - 1); CYBOZU_TEST_EQUAL(ret, 0); memset(&x2, 0, sizeof(x2)); ret = mclBnFr_deserialize(&x2, buf, n + 1); CYBOZU_TEST_EQUAL(ret, n); CYBOZU_TEST_ASSERT(mclBnFr_isEqual(&x1, &x2)); n = mclBnFr_serialize(buf, expectSize, &x1); CYBOZU_TEST_EQUAL(n, expectSize); // G1 expectSize = G1Size; mclBnG1_hashAndMapTo(&P1, "1", 1); n = mclBnG1_serialize(buf, sizeof(buf), &P1); CYBOZU_TEST_EQUAL(n, expectSize); ret = mclBnG1_deserialize(&P2, buf, n); CYBOZU_TEST_EQUAL(ret, n); CYBOZU_TEST_ASSERT(mclBnG1_isEqual(&P1, &P2)); ret = mclBnG1_deserialize(&P2, buf, n - 1); CYBOZU_TEST_EQUAL(ret, 0); memset(&P2, 0, sizeof(P2)); ret = mclBnG1_deserialize(&P2, buf, n + 1); CYBOZU_TEST_EQUAL(ret, n); CYBOZU_TEST_ASSERT(mclBnG1_isEqual(&P1, &P2)); n = mclBnG1_serialize(buf, expectSize, &P1); CYBOZU_TEST_EQUAL(n, expectSize); // G2 expectSize = G1Size * 2; mclBnG2_hashAndMapTo(&Q1, "1", 1); n = mclBnG2_serialize(buf, sizeof(buf), &Q1); CYBOZU_TEST_EQUAL(n, expectSize); ret = mclBnG2_deserialize(&Q2, buf, n); CYBOZU_TEST_EQUAL(ret, n); CYBOZU_TEST_ASSERT(mclBnG2_isEqual(&Q1, &Q2)); ret = mclBnG2_deserialize(&Q2, buf, n - 1); CYBOZU_TEST_EQUAL(ret, 0); memset(&Q2, 0, sizeof(Q2)); ret = mclBnG2_deserialize(&Q2, buf, n + 1); CYBOZU_TEST_EQUAL(ret, n); CYBOZU_TEST_ASSERT(mclBnG2_isEqual(&Q1, &Q2)); n = mclBnG2_serialize(buf, expectSize, &Q1); CYBOZU_TEST_EQUAL(n, expectSize); } #if MCLBN_FP_UNIT_SIZE == 6 CYBOZU_TEST_AUTO(badG2) { int ret; ret = mclBn_init(mclBn_CurveFp382_1, MCLBN_FP_UNIT_SIZE); CYBOZU_TEST_EQUAL(ret, 0); const char *s = "1 18d3d8c085a5a5e7553c3a4eb628e88b8465bf4de2612e35a0a4eb018fb0c82e9698896031e62fd7633ffd824a859474 1dc6edfcf33e29575d4791faed8e7203832217423bf7f7fbf1f6b36625b12e7132c15fbc15562ce93362a322fb83dd0d 65836963b1f7b6959030ddfa15ab38ce056097e91dedffd996c1808624fa7e2644a77be606290aa555cda8481cfb3cb 1b77b708d3d4f65aeedf54b58393463a42f0dc5856baadb5ce608036baeca398c5d9e6b169473a8838098fd72fd28b50"; mclBnG2 Q; ret = mclBnG2_setStr(&Q, s, strlen(s), 16); CYBOZU_TEST_ASSERT(ret != 0); } #endif CYBOZU_TEST_AUTO(end) { int ret = mclBn_setErrFile("bn_if.log"); CYBOZU_TEST_EQUAL(ret, 0); }