/* * Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the Apache License 2.0 (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ #include #include #include #include #ifdef __TANDEM # include /* strcasecmp */ #endif #include #include #include #include #include #include "internal/nelem.h" #include "internal/numbers.h" #include "testutil.h" /* * Things in boring, not in openssl. */ #define HAVE_BN_SQRT 0 typedef struct filetest_st { const char *name; int (*func)(STANZA *s); } FILETEST; typedef struct mpitest_st { const char *base10; const char *mpi; size_t mpi_len; } MPITEST; static const int NUM0 = 100; /* number of tests */ static const int NUM1 = 50; /* additional tests for some functions */ static const int NUM_PRIME_TESTS = 20; static BN_CTX *ctx; /* * Polynomial coefficients used in GFM tests. */ #ifndef OPENSSL_NO_EC2M static int p0[] = { 163, 7, 6, 3, 0, -1 }; static int p1[] = { 193, 15, 0, -1 }; #endif /* * Look for |key| in the stanza and return it or NULL if not found. */ static const char *findattr(STANZA *s, const char *key) { int i = s->numpairs; PAIR *pp = s->pairs; for ( ; --i >= 0; pp++) if (OPENSSL_strcasecmp(pp->key, key) == 0) return pp->value; return NULL; } /* * Parse BIGNUM from sparse hex-strings, return |BN_hex2bn| result. */ static int parse_bigBN(BIGNUM **out, const char *bn_strings[]) { char *bigstring = glue_strings(bn_strings, NULL); int ret = BN_hex2bn(out, bigstring); OPENSSL_free(bigstring); return ret; } /* * Parse BIGNUM, return number of bytes parsed. */ static int parseBN(BIGNUM **out, const char *in) { *out = NULL; return BN_hex2bn(out, in); } static int parsedecBN(BIGNUM **out, const char *in) { *out = NULL; return BN_dec2bn(out, in); } static BIGNUM *getBN(STANZA *s, const char *attribute) { const char *hex; BIGNUM *ret = NULL; if ((hex = findattr(s, attribute)) == NULL) { TEST_error("%s:%d: Can't find %s", s->test_file, s->start, attribute); return NULL; } if (parseBN(&ret, hex) != (int)strlen(hex)) { TEST_error("Could not decode '%s'", hex); return NULL; } return ret; } static int getint(STANZA *s, int *out, const char *attribute) { BIGNUM *ret; BN_ULONG word; int st = 0; if (!TEST_ptr(ret = getBN(s, attribute)) || !TEST_ulong_le(word = BN_get_word(ret), INT_MAX)) goto err; *out = (int)word; st = 1; err: BN_free(ret); return st; } static int equalBN(const char *op, const BIGNUM *expected, const BIGNUM *actual) { if (BN_cmp(expected, actual) == 0) return 1; TEST_error("unexpected %s value", op); TEST_BN_eq(expected, actual); return 0; } /* * Return a "random" flag for if a BN should be negated. */ static int rand_neg(void) { static unsigned int neg = 0; static int sign[8] = { 0, 0, 0, 1, 1, 0, 1, 1 }; return sign[(neg++) % 8]; } static int test_swap(void) { BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL; int top, cond, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new())) goto err; if (!(TEST_true(BN_bntest_rand(a, 1024, 1, 0)) && TEST_true(BN_bntest_rand(b, 1024, 1, 0)) && TEST_ptr(BN_copy(c, a)) && TEST_ptr(BN_copy(d, b)))) goto err; top = BN_num_bits(a) / BN_BITS2; /* regular swap */ BN_swap(a, b); if (!equalBN("swap", a, d) || !equalBN("swap", b, c)) goto err; /* regular swap: same pointer */ BN_swap(a, a); if (!equalBN("swap with same pointer", a, d)) goto err; /* conditional swap: true */ cond = 1; BN_consttime_swap(cond, a, b, top); if (!equalBN("cswap true", a, c) || !equalBN("cswap true", b, d)) goto err; /* conditional swap: true, same pointer */ BN_consttime_swap(cond, a, a, top); if (!equalBN("cswap true", a, c)) goto err; /* conditional swap: false */ cond = 0; BN_consttime_swap(cond, a, b, top); if (!equalBN("cswap false", a, c) || !equalBN("cswap false", b, d)) goto err; /* conditional swap: false, same pointer */ BN_consttime_swap(cond, a, a, top); if (!equalBN("cswap false", a, c)) goto err; /* same tests but checking flag swap */ BN_set_flags(a, BN_FLG_CONSTTIME); BN_swap(a, b); if (!equalBN("swap, flags", a, d) || !equalBN("swap, flags", b, c) || !TEST_true(BN_get_flags(b, BN_FLG_CONSTTIME)) || !TEST_false(BN_get_flags(a, BN_FLG_CONSTTIME))) goto err; cond = 1; BN_consttime_swap(cond, a, b, top); if (!equalBN("cswap true, flags", a, c) || !equalBN("cswap true, flags", b, d) || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME)) || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME))) goto err; cond = 0; BN_consttime_swap(cond, a, b, top); if (!equalBN("cswap false, flags", a, c) || !equalBN("cswap false, flags", b, d) || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME)) || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME))) goto err; st = 1; err: BN_free(a); BN_free(b); BN_free(c); BN_free(d); return st; } static int test_sub(void) { BIGNUM *a = NULL, *b = NULL, *c = NULL; int i, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(c = BN_new())) goto err; for (i = 0; i < NUM0 + NUM1; i++) { if (i < NUM1) { if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))) && TEST_ptr(BN_copy(b, a)) && TEST_int_ne(BN_set_bit(a, i), 0) && TEST_true(BN_add_word(b, i))) goto err; } else { if (!TEST_true(BN_bntest_rand(b, 400 + i - NUM1, 0, 0))) goto err; BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); } if (!(TEST_true(BN_sub(c, a, b)) && TEST_true(BN_add(c, c, b)) && TEST_true(BN_sub(c, c, a)) && TEST_BN_eq_zero(c))) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(c); return st; } static int test_div_recip(void) { BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL; BN_RECP_CTX *recp = NULL; int st = 0, i; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new()) || !TEST_ptr(recp = BN_RECP_CTX_new())) goto err; for (i = 0; i < NUM0 + NUM1; i++) { if (i < NUM1) { if (!(TEST_true(BN_bntest_rand(a, 400, 0, 0)) && TEST_ptr(BN_copy(b, a)) && TEST_true(BN_lshift(a, a, i)) && TEST_true(BN_add_word(a, i)))) goto err; } else { if (!(TEST_true(BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0)))) goto err; } BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); if (!(TEST_true(BN_RECP_CTX_set(recp, b, ctx)) && TEST_true(BN_div_recp(d, c, a, recp, ctx)) && TEST_true(BN_mul(e, d, b, ctx)) && TEST_true(BN_add(d, e, c)) && TEST_true(BN_sub(d, d, a)) && TEST_BN_eq_zero(d))) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(c); BN_free(d); BN_free(e); BN_RECP_CTX_free(recp); return st; } static struct { int n, divisor, result, remainder; } signed_mod_tests[] = { { 10, 3, 3, 1 }, { -10, 3, -3, -1 }, { 10, -3, -3, 1 }, { -10, -3, 3, -1 }, }; static BIGNUM *set_signed_bn(int value) { BIGNUM *bn = BN_new(); if (bn == NULL) return NULL; if (!BN_set_word(bn, value < 0 ? -value : value)) { BN_free(bn); return NULL; } BN_set_negative(bn, value < 0); return bn; } static int test_signed_mod_replace_ab(int n) { BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL; int st = 0; if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n)) || !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor)) || !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result)) || !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder))) goto err; if (TEST_true(BN_div(a, b, a, b, ctx)) && TEST_BN_eq(a, c) && TEST_BN_eq(b, d)) st = 1; err: BN_free(a); BN_free(b); BN_free(c); BN_free(d); return st; } static int test_signed_mod_replace_ba(int n) { BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL; int st = 0; if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n)) || !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor)) || !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result)) || !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder))) goto err; if (TEST_true(BN_div(b, a, a, b, ctx)) && TEST_BN_eq(b, c) && TEST_BN_eq(a, d)) st = 1; err: BN_free(a); BN_free(b); BN_free(c); BN_free(d); return st; } static int test_mod(void) { BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL; int st = 0, i; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new())) goto err; if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0)))) goto err; for (i = 0; i < NUM0; i++) { if (!(TEST_true(BN_bntest_rand(b, 450 + i * 10, 0, 0)))) goto err; BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); if (!(TEST_true(BN_mod(c, a, b, ctx)) && TEST_true(BN_div(d, e, a, b, ctx)) && TEST_BN_eq(e, c) && TEST_true(BN_mul(c, d, b, ctx)) && TEST_true(BN_add(d, c, e)) && TEST_BN_eq(d, a))) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(c); BN_free(d); BN_free(e); return st; } static const char *bn1strings[] = { "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF00", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000FFFFFFFFFFFFFF", NULL }; static const char *bn2strings[] = { "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF0000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000FFFFFFFFFFFFFF00000000", NULL }; /* * Test constant-time modular exponentiation with 1024-bit inputs, which on * x86_64 cause a different code branch to be taken. */ static int test_modexp_mont5(void) { BIGNUM *a = NULL, *p = NULL, *m = NULL, *d = NULL, *e = NULL; BIGNUM *b = NULL, *n = NULL, *c = NULL; BN_MONT_CTX *mont = NULL; int st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(p = BN_new()) || !TEST_ptr(m = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(n = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(mont = BN_MONT_CTX_new())) goto err; /* must be odd for montgomery */ if (!(TEST_true(BN_bntest_rand(m, 1024, 0, 1)) /* Zero exponent */ && TEST_true(BN_bntest_rand(a, 1024, 0, 0)))) goto err; BN_zero(p); if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL))) goto err; if (!TEST_BN_eq_one(d)) goto err; /* Regression test for carry bug in mulx4x_mont */ if (!(TEST_true(BN_hex2bn(&a, "7878787878787878787878787878787878787878787878787878787878787878" "7878787878787878787878787878787878787878787878787878787878787878" "7878787878787878787878787878787878787878787878787878787878787878" "7878787878787878787878787878787878787878787878787878787878787878")) && TEST_true(BN_hex2bn(&b, "095D72C08C097BA488C5E439C655A192EAFB6380073D8C2664668EDDB4060744" "E16E57FB4EDB9AE10A0CEFCDC28A894F689A128379DB279D48A2E20849D68593" "9B7803BCF46CEBF5C533FB0DD35B080593DE5472E3FE5DB951B8BFF9B4CB8F03" "9CC638A5EE8CDD703719F8000E6A9F63BEED5F2FCD52FF293EA05A251BB4AB81")) && TEST_true(BN_hex2bn(&n, "D78AF684E71DB0C39CFF4E64FB9DB567132CB9C50CC98009FEB820B26F2DED9B" "91B9B5E2B83AE0AE4EB4E0523CA726BFBE969B89FD754F674CE99118C3F2D1C5" "D81FDC7C54E02B60262B241D53C040E99E45826ECA37A804668E690E1AFC1CA4" "2C9A15D84D4954425F0B7642FC0BD9D7B24E2618D2DCC9B729D944BADACFDDAF")))) goto err; if (!(TEST_true(BN_MONT_CTX_set(mont, n, ctx)) && TEST_true(BN_mod_mul_montgomery(c, a, b, mont, ctx)) && TEST_true(BN_mod_mul_montgomery(d, b, a, mont, ctx)) && TEST_BN_eq(c, d))) goto err; /* Regression test for carry bug in sqr[x]8x_mont */ if (!(TEST_true(parse_bigBN(&n, bn1strings)) && TEST_true(parse_bigBN(&a, bn2strings)))) goto err; BN_free(b); if (!(TEST_ptr(b = BN_dup(a)) && TEST_true(BN_MONT_CTX_set(mont, n, ctx)) && TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx)) && TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx)) && TEST_BN_eq(c, d))) goto err; /* Regression test for carry bug in bn_sqrx8x_internal */ { static const char *ahex[] = { "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8FFEADBCFC4DAE7FFF908E92820306B", "9544D954000000006C0000000000000000000000000000000000000000000000", "00000000000000000000FF030202FFFFF8FFEBDBCFC4DAE7FFF908E92820306B", "9544D954000000006C000000FF0302030000000000FFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF01FC00FF02FFFFFFFF", "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00FCFD", "FCFFFFFFFFFF000000000000000000FF0302030000000000FFFFFFFFFFFFFFFF", "FF00FCFDFDFF030202FF00000000FFFFFFFFFFFFFFFFFF00FCFDFCFFFFFFFFFF", NULL }; static const char *nhex[] = { "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8F8F8F8000000", "00000010000000006C0000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000FFFFFFFFFFFFF8F8F8F8000000", "00000010000000006C000000000000000000000000FFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFF000000000000000000000000000000000000FFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", NULL }; if (!(TEST_true(parse_bigBN(&a, ahex)) && TEST_true(parse_bigBN(&n, nhex)))) goto err; } BN_free(b); if (!(TEST_ptr(b = BN_dup(a)) && TEST_true(BN_MONT_CTX_set(mont, n, ctx)))) goto err; if (!TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx)) || !TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx)) || !TEST_BN_eq(c, d)) goto err; /* Regression test for bug in BN_from_montgomery_word */ if (!(TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")) && TEST_true(BN_hex2bn(&n, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")) && TEST_true(BN_MONT_CTX_set(mont, n, ctx)) && TEST_false(BN_mod_mul_montgomery(d, a, a, mont, ctx)))) goto err; /* Regression test for bug in rsaz_1024_mul_avx2 */ if (!(TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF")) && TEST_true(BN_hex2bn(&b, "2020202020202020202020202020202020202020202020202020202020202020" "2020202020202020202020202020202020202020202020202020202020202020" "20202020202020FF202020202020202020202020202020202020202020202020" "2020202020202020202020202020202020202020202020202020202020202020")) && TEST_true(BN_hex2bn(&n, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020FF")) && TEST_true(BN_MONT_CTX_set(mont, n, ctx)) && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont)) && TEST_true(BN_mod_exp_mont(d, a, b, n, ctx, mont)) && TEST_BN_eq(c, d))) goto err; /* * rsaz_1024_mul_avx2 expects fully-reduced inputs. * BN_mod_exp_mont_consttime should reduce the input first. */ if (!(TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF")) && TEST_true(BN_hex2bn(&b, "1FA53F26F8811C58BE0357897AA5E165693230BC9DF5F01DFA6A2D59229EC69D" "9DE6A89C36E3B6957B22D6FAAD5A3C73AE587B710DBE92E83D3A9A3339A085CB" "B58F508CA4F837924BB52CC1698B7FDC2FD74362456A595A5B58E38E38E38E38" "E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E")) && TEST_true(BN_hex2bn(&n, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF")) && TEST_true(BN_MONT_CTX_set(mont, n, ctx)) && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont)))) goto err; BN_zero(d); if (!TEST_BN_eq(c, d)) goto err; /* * Regression test for overflow bug in bn_sqr_comba4/8 for * mips-linux-gnu and mipsel-linux-gnu 32bit targets. */ { static const char *ehex[] = { "95564994a96c45954227b845a1e99cb939d5a1da99ee91acc962396ae999a9ee", "38603790448f2f7694c242a875f0cad0aae658eba085f312d2febbbd128dd2b5", "8f7d1149f03724215d704344d0d62c587ae3c5939cba4b9b5f3dc5e8e911ef9a", "5ce1a5a749a4989d0d8368f6e1f8cdf3a362a6c97fb02047ff152b480a4ad985", "2d45efdf0770542992afca6a0590d52930434bba96017afbc9f99e112950a8b1", "a359473ec376f329bdae6a19f503be6d4be7393c4e43468831234e27e3838680", "b949390d2e416a3f9759e5349ab4c253f6f29f819a6fe4cbfd27ada34903300e", "da021f62839f5878a36f1bc3085375b00fd5fa3e68d316c0fdace87a97558465", NULL}; static const char *phex[] = { "f95dc0f980fbd22e90caa5a387cc4a369f3f830d50dd321c40db8c09a7e1a241", "a536e096622d3280c0c1ba849c1f4a79bf490f60006d081e8cf69960189f0d31", "2cd9e17073a3fba7881b21474a13b334116cb2f5dbf3189a6de3515d0840f053", "c776d3982d391b6d04d642dda5cc6d1640174c09875addb70595658f89efb439", "dc6fbd55f903aadd307982d3f659207f265e1ec6271b274521b7a5e28e8fd7a5", "5df089292820477802a43cf5b6b94e999e8c9944ddebb0d0e95a60f88cb7e813", "ba110d20e1024774107dd02949031864923b3cb8c3f7250d6d1287b0a40db6a4", "7bd5a469518eb65aa207ddc47d8c6e5fc8e0c105be8fc1d4b57b2e27540471d5", NULL}; static const char *mhex[] = { "fef15d5ce4625f1bccfbba49fc8439c72bf8202af039a2259678941b60bb4a8f", "2987e965d58fd8cf86a856674d519763d0e1211cc9f8596971050d56d9b35db3", "785866cfbca17cfdbed6060be3629d894f924a89fdc1efc624f80d41a22f1900", "9503fcc3824ef62ccb9208430c26f2d8ceb2c63488ec4c07437aa4c96c43dd8b", "9289ed00a712ff66ee195dc71f5e4ead02172b63c543d69baf495f5fd63ba7bc", "c633bd309c016e37736da92129d0b053d4ab28d21ad7d8b6fab2a8bbdc8ee647", "d2fbcf2cf426cf892e6f5639e0252993965dfb73ccd277407014ea784aaa280c", "b7b03972bc8b0baa72360bdb44b82415b86b2f260f877791cd33ba8f2d65229b", NULL}; if (!TEST_true(parse_bigBN(&e, ehex)) || !TEST_true(parse_bigBN(&p, phex)) || !TEST_true(parse_bigBN(&m, mhex)) || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL)) || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx)) || !TEST_BN_eq(a, d)) goto err; } /* Zero input */ if (!TEST_true(BN_bntest_rand(p, 1024, 0, 0))) goto err; BN_zero(a); if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL)) || !TEST_BN_eq_zero(d)) goto err; /* * Craft an input whose Montgomery representation is 1, i.e., shorter * than the modulus m, in order to test the const time precomputation * scattering/gathering. */ if (!(TEST_true(BN_one(a)) && TEST_true(BN_MONT_CTX_set(mont, m, ctx)))) goto err; if (!TEST_true(BN_from_montgomery(e, a, mont, ctx)) || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL)) || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx)) || !TEST_BN_eq(a, d)) goto err; /* Finally, some regular test vectors. */ if (!(TEST_true(BN_bntest_rand(e, 1024, 0, 0)) && TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL)) && TEST_true(BN_mod_exp_simple(a, e, p, m, ctx)) && TEST_BN_eq(a, d))) goto err; st = 1; err: BN_MONT_CTX_free(mont); BN_free(a); BN_free(p); BN_free(m); BN_free(d); BN_free(e); BN_free(b); BN_free(n); BN_free(c); return st; } #ifndef OPENSSL_NO_EC2M static int test_gf2m_add(void) { BIGNUM *a = NULL, *b = NULL, *c = NULL; int i, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(c = BN_new())) goto err; for (i = 0; i < NUM0; i++) { if (!(TEST_true(BN_rand(a, 512, 0, 0)) && TEST_ptr(BN_copy(b, BN_value_one())))) goto err; BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); if (!(TEST_true(BN_GF2m_add(c, a, b)) /* Test that two added values have the correct parity. */ && TEST_false((BN_is_odd(a) && BN_is_odd(c)) || (!BN_is_odd(a) && !BN_is_odd(c))))) goto err; if (!(TEST_true(BN_GF2m_add(c, c, c)) /* Test that c + c = 0. */ && TEST_BN_eq_zero(c))) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(c); return st; } static int test_gf2m_mod(void) { BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL, *e = NULL; int i, j, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0))) goto err; for (j = 0; j < 2; j++) { if (!(TEST_true(BN_GF2m_mod(c, a, b[j])) && TEST_true(BN_GF2m_add(d, a, c)) && TEST_true(BN_GF2m_mod(e, d, b[j])) /* Test that a + (a mod p) mod p == 0. */ && TEST_BN_eq_zero(e))) goto err; } } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); BN_free(e); return st; } static int test_gf2m_mul(void) { BIGNUM *a, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL; BIGNUM *e = NULL, *f = NULL, *g = NULL, *h = NULL; int i, j, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new()) || !TEST_ptr(f = BN_new()) || !TEST_ptr(g = BN_new()) || !TEST_ptr(h = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0)) && TEST_true(BN_bntest_rand(c, 1024, 0, 0)) && TEST_true(BN_bntest_rand(d, 1024, 0, 0)))) goto err; for (j = 0; j < 2; j++) { if (!(TEST_true(BN_GF2m_mod_mul(e, a, c, b[j], ctx)) && TEST_true(BN_GF2m_add(f, a, d)) && TEST_true(BN_GF2m_mod_mul(g, f, c, b[j], ctx)) && TEST_true(BN_GF2m_mod_mul(h, d, c, b[j], ctx)) && TEST_true(BN_GF2m_add(f, e, g)) && TEST_true(BN_GF2m_add(f, f, h)) /* Test that (a+d)*c = a*c + d*c. */ && TEST_BN_eq_zero(f))) goto err; } } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); BN_free(e); BN_free(f); BN_free(g); BN_free(h); return st; } static int test_gf2m_sqr(void) { BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL; int i, j, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0))) goto err; for (j = 0; j < 2; j++) { if (!(TEST_true(BN_GF2m_mod_sqr(c, a, b[j], ctx)) && TEST_true(BN_copy(d, a)) && TEST_true(BN_GF2m_mod_mul(d, a, d, b[j], ctx)) && TEST_true(BN_GF2m_add(d, c, d)) /* Test that a*a = a^2. */ && TEST_BN_eq_zero(d))) goto err; } } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); return st; } static int test_gf2m_modinv(void) { BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL; int i, j, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!TEST_true(BN_bntest_rand(a, 512, 0, 0))) goto err; for (j = 0; j < 2; j++) { if (!(TEST_true(BN_GF2m_mod_inv(c, a, b[j], ctx)) && TEST_true(BN_GF2m_mod_mul(d, a, c, b[j], ctx)) /* Test that ((1/a)*a) = 1. */ && TEST_BN_eq_one(d))) goto err; } } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); return st; } static int test_gf2m_moddiv(void) { BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL; BIGNUM *e = NULL, *f = NULL; int i, j, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new()) || !TEST_ptr(f = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0)) && TEST_true(BN_bntest_rand(c, 512, 0, 0)))) goto err; for (j = 0; j < 2; j++) { if (!(TEST_true(BN_GF2m_mod_div(d, a, c, b[j], ctx)) && TEST_true(BN_GF2m_mod_mul(e, d, c, b[j], ctx)) && TEST_true(BN_GF2m_mod_div(f, a, e, b[j], ctx)) /* Test that ((a/c)*c)/a = 1. */ && TEST_BN_eq_one(f))) goto err; } } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); BN_free(e); BN_free(f); return st; } static int test_gf2m_modexp(void) { BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL; BIGNUM *e = NULL, *f = NULL; int i, j, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new()) || !TEST_ptr(f = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0)) && TEST_true(BN_bntest_rand(c, 512, 0, 0)) && TEST_true(BN_bntest_rand(d, 512, 0, 0)))) goto err; for (j = 0; j < 2; j++) { if (!(TEST_true(BN_GF2m_mod_exp(e, a, c, b[j], ctx)) && TEST_true(BN_GF2m_mod_exp(f, a, d, b[j], ctx)) && TEST_true(BN_GF2m_mod_mul(e, e, f, b[j], ctx)) && TEST_true(BN_add(f, c, d)) && TEST_true(BN_GF2m_mod_exp(f, a, f, b[j], ctx)) && TEST_true(BN_GF2m_add(f, e, f)) /* Test that a^(c+d)=a^c*a^d. */ && TEST_BN_eq_zero(f))) goto err; } } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); BN_free(e); BN_free(f); return st; } static int test_gf2m_modsqrt(void) { BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL; BIGNUM *e = NULL, *f = NULL; int i, j, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new()) || !TEST_ptr(f = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!TEST_true(BN_bntest_rand(a, 512, 0, 0))) goto err; for (j = 0; j < 2; j++) { if (!(TEST_true(BN_GF2m_mod(c, a, b[j])) && TEST_true(BN_GF2m_mod_sqrt(d, a, b[j], ctx)) && TEST_true(BN_GF2m_mod_sqr(e, d, b[j], ctx)) && TEST_true(BN_GF2m_add(f, c, e)) /* Test that d^2 = a, where d = sqrt(a). */ && TEST_BN_eq_zero(f))) goto err; } } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); BN_free(e); BN_free(f); return st; } static int test_gf2m_modsolvequad(void) { BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL; BIGNUM *e = NULL; int i, j, s = 0, t, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b[0] = BN_new()) || !TEST_ptr(b[1] = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new()) || !TEST_ptr(e = BN_new())) goto err; if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0])) && TEST_true(BN_GF2m_arr2poly(p1, b[1])))) goto err; for (i = 0; i < NUM0; i++) { if (!TEST_true(BN_bntest_rand(a, 512, 0, 0))) goto err; for (j = 0; j < 2; j++) { t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx); if (t) { s++; if (!(TEST_true(BN_GF2m_mod_sqr(d, c, b[j], ctx)) && TEST_true(BN_GF2m_add(d, c, d)) && TEST_true(BN_GF2m_mod(e, a, b[j])) && TEST_true(BN_GF2m_add(e, e, d)) /* * Test that solution of quadratic c * satisfies c^2 + c = a. */ && TEST_BN_eq_zero(e))) goto err; } } } if (!TEST_int_ge(s, 0)) { TEST_info("%d tests found no roots; probably an error", NUM0); goto err; } st = 1; err: BN_free(a); BN_free(b[0]); BN_free(b[1]); BN_free(c); BN_free(d); BN_free(e); return st; } #endif static int test_kronecker(void) { BIGNUM *a = NULL, *b = NULL, *r = NULL, *t = NULL; int i, legendre, kronecker, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(r = BN_new()) || !TEST_ptr(t = BN_new())) goto err; /* * We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol). In * this case we know that if b is prime, then BN_kronecker(a, b, ctx) is * congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol). So we * generate a random prime b and compare these values for a number of * random a's. (That is, we run the Solovay-Strassen primality test to * confirm that b is prime, except that we don't want to test whether b * is prime but whether BN_kronecker works.) */ if (!TEST_true(BN_generate_prime_ex(b, 512, 0, NULL, NULL, NULL))) goto err; BN_set_negative(b, rand_neg()); for (i = 0; i < NUM0; i++) { if (!TEST_true(BN_bntest_rand(a, 512, 0, 0))) goto err; BN_set_negative(a, rand_neg()); /* t := (|b|-1)/2 (note that b is odd) */ if (!TEST_true(BN_copy(t, b))) goto err; BN_set_negative(t, 0); if (!TEST_true(BN_sub_word(t, 1))) goto err; if (!TEST_true(BN_rshift1(t, t))) goto err; /* r := a^t mod b */ BN_set_negative(b, 0); if (!TEST_true(BN_mod_exp_recp(r, a, t, b, ctx))) goto err; BN_set_negative(b, 1); if (BN_is_word(r, 1)) legendre = 1; else if (BN_is_zero(r)) legendre = 0; else { if (!TEST_true(BN_add_word(r, 1))) goto err; if (!TEST_int_eq(BN_ucmp(r, b), 0)) { TEST_info("Legendre symbol computation failed"); goto err; } legendre = -1; } if (!TEST_int_ge(kronecker = BN_kronecker(a, b, ctx), -1)) goto err; /* we actually need BN_kronecker(a, |b|) */ if (BN_is_negative(a) && BN_is_negative(b)) kronecker = -kronecker; if (!TEST_int_eq(legendre, kronecker)) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(r); BN_free(t); return st; } static int file_sum(STANZA *s) { BIGNUM *a = NULL, *b = NULL, *sum = NULL, *ret = NULL; BN_ULONG b_word; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(b = getBN(s, "B")) || !TEST_ptr(sum = getBN(s, "Sum")) || !TEST_ptr(ret = BN_new())) goto err; if (!TEST_true(BN_add(ret, a, b)) || !equalBN("A + B", sum, ret) || !TEST_true(BN_sub(ret, sum, a)) || !equalBN("Sum - A", b, ret) || !TEST_true(BN_sub(ret, sum, b)) || !equalBN("Sum - B", a, ret)) goto err; /* * Test that the functions work when |r| and |a| point to the same BIGNUM, * or when |r| and |b| point to the same BIGNUM. * There is no test for all of |r|, |a|, and |b| pointint to the same BIGNUM. */ if (!TEST_true(BN_copy(ret, a)) || !TEST_true(BN_add(ret, ret, b)) || !equalBN("A + B (r is a)", sum, ret) || !TEST_true(BN_copy(ret, b)) || !TEST_true(BN_add(ret, a, ret)) || !equalBN("A + B (r is b)", sum, ret) || !TEST_true(BN_copy(ret, sum)) || !TEST_true(BN_sub(ret, ret, a)) || !equalBN("Sum - A (r is a)", b, ret) || !TEST_true(BN_copy(ret, a)) || !TEST_true(BN_sub(ret, sum, ret)) || !equalBN("Sum - A (r is b)", b, ret) || !TEST_true(BN_copy(ret, sum)) || !TEST_true(BN_sub(ret, ret, b)) || !equalBN("Sum - B (r is a)", a, ret) || !TEST_true(BN_copy(ret, b)) || !TEST_true(BN_sub(ret, sum, ret)) || !equalBN("Sum - B (r is b)", a, ret)) goto err; /* * Test BN_uadd() and BN_usub() with the prerequisites they are * documented as having. Note that these functions are frequently used * when the prerequisites don't hold. In those cases, they are supposed * to work as if the prerequisite hold, but we don't test that yet. */ if (!BN_is_negative(a) && !BN_is_negative(b) && BN_cmp(a, b) >= 0) { if (!TEST_true(BN_uadd(ret, a, b)) || !equalBN("A +u B", sum, ret) || !TEST_true(BN_usub(ret, sum, a)) || !equalBN("Sum -u A", b, ret) || !TEST_true(BN_usub(ret, sum, b)) || !equalBN("Sum -u B", a, ret)) goto err; /* * Test that the functions work when |r| and |a| point to the same * BIGNUM, or when |r| and |b| point to the same BIGNUM. * There is no test for all of |r|, |a|, and |b| pointint to the same * BIGNUM. */ if (!TEST_true(BN_copy(ret, a)) || !TEST_true(BN_uadd(ret, ret, b)) || !equalBN("A +u B (r is a)", sum, ret) || !TEST_true(BN_copy(ret, b)) || !TEST_true(BN_uadd(ret, a, ret)) || !equalBN("A +u B (r is b)", sum, ret) || !TEST_true(BN_copy(ret, sum)) || !TEST_true(BN_usub(ret, ret, a)) || !equalBN("Sum -u A (r is a)", b, ret) || !TEST_true(BN_copy(ret, a)) || !TEST_true(BN_usub(ret, sum, ret)) || !equalBN("Sum -u A (r is b)", b, ret) || !TEST_true(BN_copy(ret, sum)) || !TEST_true(BN_usub(ret, ret, b)) || !equalBN("Sum -u B (r is a)", a, ret) || !TEST_true(BN_copy(ret, b)) || !TEST_true(BN_usub(ret, sum, ret)) || !equalBN("Sum -u B (r is b)", a, ret)) goto err; } /* * Test with BN_add_word() and BN_sub_word() if |b| is small enough. */ b_word = BN_get_word(b); if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) { if (!TEST_true(BN_copy(ret, a)) || !TEST_true(BN_add_word(ret, b_word)) || !equalBN("A + B (word)", sum, ret) || !TEST_true(BN_copy(ret, sum)) || !TEST_true(BN_sub_word(ret, b_word)) || !equalBN("Sum - B (word)", a, ret)) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(sum); BN_free(ret); return st; } static int file_lshift1(STANZA *s) { BIGNUM *a = NULL, *lshift1 = NULL, *zero = NULL, *ret = NULL; BIGNUM *two = NULL, *remainder = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(lshift1 = getBN(s, "LShift1")) || !TEST_ptr(zero = BN_new()) || !TEST_ptr(ret = BN_new()) || !TEST_ptr(two = BN_new()) || !TEST_ptr(remainder = BN_new())) goto err; BN_zero(zero); if (!TEST_true(BN_set_word(two, 2)) || !TEST_true(BN_add(ret, a, a)) || !equalBN("A + A", lshift1, ret) || !TEST_true(BN_mul(ret, a, two, ctx)) || !equalBN("A * 2", lshift1, ret) || !TEST_true(BN_div(ret, remainder, lshift1, two, ctx)) || !equalBN("LShift1 / 2", a, ret) || !equalBN("LShift1 % 2", zero, remainder) || !TEST_true(BN_lshift1(ret, a)) || !equalBN("A << 1", lshift1, ret) || !TEST_true(BN_rshift1(ret, lshift1)) || !equalBN("LShift >> 1", a, ret) || !TEST_true(BN_rshift1(ret, lshift1)) || !equalBN("LShift >> 1", a, ret)) goto err; /* Set the LSB to 1 and test rshift1 again. */ if (!TEST_true(BN_set_bit(lshift1, 0)) || !TEST_true(BN_div(ret, NULL /* rem */ , lshift1, two, ctx)) || !equalBN("(LShift1 | 1) / 2", a, ret) || !TEST_true(BN_rshift1(ret, lshift1)) || !equalBN("(LShift | 1) >> 1", a, ret)) goto err; st = 1; err: BN_free(a); BN_free(lshift1); BN_free(zero); BN_free(ret); BN_free(two); BN_free(remainder); return st; } static int file_lshift(STANZA *s) { BIGNUM *a = NULL, *lshift = NULL, *ret = NULL; int n = 0, st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(lshift = getBN(s, "LShift")) || !TEST_ptr(ret = BN_new()) || !getint(s, &n, "N")) goto err; if (!TEST_true(BN_lshift(ret, a, n)) || !equalBN("A << N", lshift, ret) || !TEST_true(BN_rshift(ret, lshift, n)) || !equalBN("A >> N", a, ret)) goto err; st = 1; err: BN_free(a); BN_free(lshift); BN_free(ret); return st; } static int file_rshift(STANZA *s) { BIGNUM *a = NULL, *rshift = NULL, *ret = NULL; int n = 0, st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(rshift = getBN(s, "RShift")) || !TEST_ptr(ret = BN_new()) || !getint(s, &n, "N")) goto err; if (!TEST_true(BN_rshift(ret, a, n)) || !equalBN("A >> N", rshift, ret)) goto err; /* If N == 1, try with rshift1 as well */ if (n == 1) { if (!TEST_true(BN_rshift1(ret, a)) || !equalBN("A >> 1 (rshift1)", rshift, ret)) goto err; } st = 1; err: BN_free(a); BN_free(rshift); BN_free(ret); return st; } static int file_square(STANZA *s) { BIGNUM *a = NULL, *square = NULL, *zero = NULL, *ret = NULL; BIGNUM *remainder = NULL, *tmp = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(square = getBN(s, "Square")) || !TEST_ptr(zero = BN_new()) || !TEST_ptr(ret = BN_new()) || !TEST_ptr(remainder = BN_new())) goto err; BN_zero(zero); if (!TEST_true(BN_sqr(ret, a, ctx)) || !equalBN("A^2", square, ret) || !TEST_true(BN_mul(ret, a, a, ctx)) || !equalBN("A * A", square, ret) || !TEST_true(BN_div(ret, remainder, square, a, ctx)) || !equalBN("Square / A", a, ret) || !equalBN("Square % A", zero, remainder)) goto err; #if HAVE_BN_SQRT BN_set_negative(a, 0); if (!TEST_true(BN_sqrt(ret, square, ctx)) || !equalBN("sqrt(Square)", a, ret)) goto err; /* BN_sqrt should fail on non-squares and negative numbers. */ if (!TEST_BN_eq_zero(square)) { if (!TEST_ptr(tmp = BN_new()) || !TEST_true(BN_copy(tmp, square))) goto err; BN_set_negative(tmp, 1); if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx), 0)) goto err; ERR_clear_error(); BN_set_negative(tmp, 0); if (BN_add(tmp, tmp, BN_value_one())) goto err; if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx))) goto err; ERR_clear_error(); } #endif st = 1; err: BN_free(a); BN_free(square); BN_free(zero); BN_free(ret); BN_free(remainder); BN_free(tmp); return st; } static int file_product(STANZA *s) { BIGNUM *a = NULL, *b = NULL, *product = NULL, *ret = NULL; BIGNUM *remainder = NULL, *zero = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(b = getBN(s, "B")) || !TEST_ptr(product = getBN(s, "Product")) || !TEST_ptr(ret = BN_new()) || !TEST_ptr(remainder = BN_new()) || !TEST_ptr(zero = BN_new())) goto err; BN_zero(zero); if (!TEST_true(BN_mul(ret, a, b, ctx)) || !equalBN("A * B", product, ret) || !TEST_true(BN_div(ret, remainder, product, a, ctx)) || !equalBN("Product / A", b, ret) || !equalBN("Product % A", zero, remainder) || !TEST_true(BN_div(ret, remainder, product, b, ctx)) || !equalBN("Product / B", a, ret) || !equalBN("Product % B", zero, remainder)) goto err; st = 1; err: BN_free(a); BN_free(b); BN_free(product); BN_free(ret); BN_free(remainder); BN_free(zero); return st; } static int file_quotient(STANZA *s) { BIGNUM *a = NULL, *b = NULL, *quotient = NULL, *remainder = NULL; BIGNUM *ret = NULL, *ret2 = NULL, *nnmod = NULL; BN_ULONG b_word, ret_word; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(b = getBN(s, "B")) || !TEST_ptr(quotient = getBN(s, "Quotient")) || !TEST_ptr(remainder = getBN(s, "Remainder")) || !TEST_ptr(ret = BN_new()) || !TEST_ptr(ret2 = BN_new()) || !TEST_ptr(nnmod = BN_new())) goto err; if (!TEST_true(BN_div(ret, ret2, a, b, ctx)) || !equalBN("A / B", quotient, ret) || !equalBN("A % B", remainder, ret2) || !TEST_true(BN_mul(ret, quotient, b, ctx)) || !TEST_true(BN_add(ret, ret, remainder)) || !equalBN("Quotient * B + Remainder", a, ret)) goto err; /* * Test with BN_mod_word() and BN_div_word() if the divisor is * small enough. */ b_word = BN_get_word(b); if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) { BN_ULONG remainder_word = BN_get_word(remainder); assert(remainder_word != (BN_ULONG)-1); if (!TEST_ptr(BN_copy(ret, a))) goto err; ret_word = BN_div_word(ret, b_word); if (ret_word != remainder_word) { #ifdef BN_DEC_FMT1 TEST_error( "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1, ret_word, remainder_word); #else TEST_error("Got A %% B (word) mismatch"); #endif goto err; } if (!equalBN ("A / B (word)", quotient, ret)) goto err; ret_word = BN_mod_word(a, b_word); if (ret_word != remainder_word) { #ifdef BN_DEC_FMT1 TEST_error( "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1 "", ret_word, remainder_word); #else TEST_error("Got A %% B (word) mismatch"); #endif goto err; } } /* Test BN_nnmod. */ if (!BN_is_negative(b)) { if (!TEST_true(BN_copy(nnmod, remainder)) || (BN_is_negative(nnmod) && !TEST_true(BN_add(nnmod, nnmod, b))) || !TEST_true(BN_nnmod(ret, a, b, ctx)) || !equalBN("A % B (non-negative)", nnmod, ret)) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(quotient); BN_free(remainder); BN_free(ret); BN_free(ret2); BN_free(nnmod); return st; } static int file_modmul(STANZA *s) { BIGNUM *a = NULL, *b = NULL, *m = NULL, *mod_mul = NULL, *ret = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(b = getBN(s, "B")) || !TEST_ptr(m = getBN(s, "M")) || !TEST_ptr(mod_mul = getBN(s, "ModMul")) || !TEST_ptr(ret = BN_new())) goto err; if (!TEST_true(BN_mod_mul(ret, a, b, m, ctx)) || !equalBN("A * B (mod M)", mod_mul, ret)) goto err; if (BN_is_odd(m)) { /* Reduce |a| and |b| and test the Montgomery version. */ BN_MONT_CTX *mont = BN_MONT_CTX_new(); BIGNUM *a_tmp = BN_new(); BIGNUM *b_tmp = BN_new(); if (mont == NULL || a_tmp == NULL || b_tmp == NULL || !TEST_true(BN_MONT_CTX_set(mont, m, ctx)) || !TEST_true(BN_nnmod(a_tmp, a, m, ctx)) || !TEST_true(BN_nnmod(b_tmp, b, m, ctx)) || !TEST_true(BN_to_montgomery(a_tmp, a_tmp, mont, ctx)) || !TEST_true(BN_to_montgomery(b_tmp, b_tmp, mont, ctx)) || !TEST_true(BN_mod_mul_montgomery(ret, a_tmp, b_tmp, mont, ctx)) || !TEST_true(BN_from_montgomery(ret, ret, mont, ctx)) || !equalBN("A * B (mod M) (mont)", mod_mul, ret)) st = 0; else st = 1; BN_MONT_CTX_free(mont); BN_free(a_tmp); BN_free(b_tmp); if (st == 0) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(m); BN_free(mod_mul); BN_free(ret); return st; } static int file_modexp(STANZA *s) { BIGNUM *a = NULL, *e = NULL, *m = NULL, *mod_exp = NULL, *ret = NULL; BIGNUM *b = NULL, *c = NULL, *d = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(e = getBN(s, "E")) || !TEST_ptr(m = getBN(s, "M")) || !TEST_ptr(mod_exp = getBN(s, "ModExp")) || !TEST_ptr(ret = BN_new()) || !TEST_ptr(d = BN_new())) goto err; if (!TEST_true(BN_mod_exp(ret, a, e, m, ctx)) || !equalBN("A ^ E (mod M)", mod_exp, ret)) goto err; if (BN_is_odd(m)) { if (!TEST_true(BN_mod_exp_mont(ret, a, e, m, ctx, NULL)) || !equalBN("A ^ E (mod M) (mont)", mod_exp, ret) || !TEST_true(BN_mod_exp_mont_consttime(ret, a, e, m, ctx, NULL)) || !equalBN("A ^ E (mod M) (mont const", mod_exp, ret)) goto err; } /* Regression test for carry propagation bug in sqr8x_reduction */ BN_hex2bn(&a, "050505050505"); BN_hex2bn(&b, "02"); BN_hex2bn(&c, "4141414141414141414141274141414141414141414141414141414141414141" "4141414141414141414141414141414141414141414141414141414141414141" "4141414141414141414141800000000000000000000000000000000000000000" "0000000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000000000000000000000000000000001"); if (!TEST_true(BN_mod_exp(d, a, b, c, ctx)) || !TEST_true(BN_mul(e, a, a, ctx)) || !TEST_BN_eq(d, e)) goto err; st = 1; err: BN_free(a); BN_free(b); BN_free(c); BN_free(d); BN_free(e); BN_free(m); BN_free(mod_exp); BN_free(ret); return st; } static int file_exp(STANZA *s) { BIGNUM *a = NULL, *e = NULL, *exp = NULL, *ret = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(e = getBN(s, "E")) || !TEST_ptr(exp = getBN(s, "Exp")) || !TEST_ptr(ret = BN_new())) goto err; if (!TEST_true(BN_exp(ret, a, e, ctx)) || !equalBN("A ^ E", exp, ret)) goto err; st = 1; err: BN_free(a); BN_free(e); BN_free(exp); BN_free(ret); return st; } static int file_modsqrt(STANZA *s) { BIGNUM *a = NULL, *p = NULL, *mod_sqrt = NULL, *ret = NULL, *ret2 = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(p = getBN(s, "P")) || !TEST_ptr(mod_sqrt = getBN(s, "ModSqrt")) || !TEST_ptr(ret = BN_new()) || !TEST_ptr(ret2 = BN_new())) goto err; if (BN_is_negative(mod_sqrt)) { /* A negative testcase */ if (!TEST_ptr_null(BN_mod_sqrt(ret, a, p, ctx))) goto err; st = 1; goto err; } /* There are two possible answers. */ if (!TEST_ptr(BN_mod_sqrt(ret, a, p, ctx)) || !TEST_true(BN_sub(ret2, p, ret))) goto err; /* The first condition should NOT be a test. */ if (BN_cmp(ret2, mod_sqrt) != 0 && !equalBN("sqrt(A) (mod P)", mod_sqrt, ret)) goto err; st = 1; err: BN_free(a); BN_free(p); BN_free(mod_sqrt); BN_free(ret); BN_free(ret2); return st; } static int file_gcd(STANZA *s) { BIGNUM *a = NULL, *b = NULL, *gcd = NULL, *ret = NULL; int st = 0; if (!TEST_ptr(a = getBN(s, "A")) || !TEST_ptr(b = getBN(s, "B")) || !TEST_ptr(gcd = getBN(s, "GCD")) || !TEST_ptr(ret = BN_new())) goto err; if (!TEST_true(BN_gcd(ret, a, b, ctx)) || !equalBN("gcd(A,B)", gcd, ret)) goto err; st = 1; err: BN_free(a); BN_free(b); BN_free(gcd); BN_free(ret); return st; } static int test_bn2padded(void) { uint8_t zeros[256], out[256], reference[128]; size_t bytes; BIGNUM *n; int st = 0; /* Test edge case at 0. */ if (!TEST_ptr((n = BN_new()))) goto err; if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), 0)) goto err; memset(out, -1, sizeof(out)); if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out))) goto err; memset(zeros, 0, sizeof(zeros)); if (!TEST_mem_eq(zeros, sizeof(zeros), out, sizeof(out))) goto err; /* Test a random numbers at various byte lengths. */ for (bytes = 128 - 7; bytes <= 128; bytes++) { # define TOP_BIT_ON 0 # define BOTTOM_BIT_NOTOUCH 0 if (!TEST_true(BN_rand(n, bytes * 8, TOP_BIT_ON, BOTTOM_BIT_NOTOUCH))) goto err; if (!TEST_int_eq(BN_num_bytes(n), bytes) || !TEST_int_eq(BN_bn2bin(n, reference), bytes)) goto err; /* Empty buffer should fail. */ if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), -1)) goto err; /* One byte short should fail. */ if (!TEST_int_eq(BN_bn2binpad(n, out, bytes - 1), -1)) goto err; /* Exactly right size should encode. */ if (!TEST_int_eq(BN_bn2binpad(n, out, bytes), bytes) || !TEST_mem_eq(out, bytes, reference, bytes)) goto err; /* Pad up one byte extra. */ if (!TEST_int_eq(BN_bn2binpad(n, out, bytes + 1), bytes + 1) || !TEST_mem_eq(out + 1, bytes, reference, bytes) || !TEST_mem_eq(out, 1, zeros, 1)) goto err; /* Pad up to 256. */ if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out)) || !TEST_mem_eq(out + sizeof(out) - bytes, bytes, reference, bytes) || !TEST_mem_eq(out, sizeof(out) - bytes, zeros, sizeof(out) - bytes)) goto err; } st = 1; err: BN_free(n); return st; } static const MPITEST kSignedTests_BE[] = { {"-1", "\xff", 1}, {"0", "", 0}, {"1", "\x01", 1}, /* * The above cover the basics, now let's go for possible bignum * chunk edges and other word edges (for a broad definition of * "word", i.e. 1 byte included). */ /* 1 byte edge */ {"127", "\x7f", 1}, {"-127", "\x81", 1}, {"128", "\x00\x80", 2}, {"-128", "\x80", 1}, {"129", "\x00\x81", 2}, {"-129", "\xff\x7f", 2}, {"255", "\x00\xff", 2}, {"-255", "\xff\x01", 2}, {"256", "\x01\x00", 2}, {"-256", "\xff\x00", 2}, /* 2 byte edge */ {"32767", "\x7f\xff", 2}, {"-32767", "\x80\x01", 2}, {"32768", "\x00\x80\x00", 3}, {"-32768", "\x80\x00", 2}, {"32769", "\x00\x80\x01", 3}, {"-32769", "\xff\x7f\xff", 3}, {"65535", "\x00\xff\xff", 3}, {"-65535", "\xff\x00\x01", 3}, {"65536", "\x01\x00\x00", 3}, {"-65536", "\xff\x00\x00", 3}, /* 4 byte edge */ {"2147483647", "\x7f\xff\xff\xff", 4}, {"-2147483647", "\x80\x00\x00\x01", 4}, {"2147483648", "\x00\x80\x00\x00\x00", 5}, {"-2147483648", "\x80\x00\x00\x00", 4}, {"2147483649", "\x00\x80\x00\x00\x01", 5}, {"-2147483649", "\xff\x7f\xff\xff\xff", 5}, {"4294967295", "\x00\xff\xff\xff\xff", 5}, {"-4294967295", "\xff\x00\x00\x00\x01", 5}, {"4294967296", "\x01\x00\x00\x00\x00", 5}, {"-4294967296", "\xff\x00\x00\x00\x00", 5}, /* 8 byte edge */ {"9223372036854775807", "\x7f\xff\xff\xff\xff\xff\xff\xff", 8}, {"-9223372036854775807", "\x80\x00\x00\x00\x00\x00\x00\x01", 8}, {"9223372036854775808", "\x00\x80\x00\x00\x00\x00\x00\x00\x00", 9}, {"-9223372036854775808", "\x80\x00\x00\x00\x00\x00\x00\x00", 8}, {"9223372036854775809", "\x00\x80\x00\x00\x00\x00\x00\x00\x01", 9}, {"-9223372036854775809", "\xff\x7f\xff\xff\xff\xff\xff\xff\xff", 9}, {"18446744073709551615", "\x00\xff\xff\xff\xff\xff\xff\xff\xff", 9}, {"-18446744073709551615", "\xff\x00\x00\x00\x00\x00\x00\x00\x01", 9}, {"18446744073709551616", "\x01\x00\x00\x00\x00\x00\x00\x00\x00", 9}, {"-18446744073709551616", "\xff\x00\x00\x00\x00\x00\x00\x00\x00", 9}, }; static int copy_reversed(uint8_t *dst, uint8_t *src, size_t len) { for (dst += len - 1; len > 0; src++, dst--, len--) *dst = *src; return 1; } static int test_bn2signed(int i) { uint8_t scratch[10], reversed[10]; const MPITEST *test = &kSignedTests_BE[i]; BIGNUM *bn = NULL, *bn2 = NULL; int st = 0; if (!TEST_ptr(bn = BN_new()) || !TEST_true(BN_asc2bn(&bn, test->base10))) goto err; /* * Check BN_signed_bn2bin() / BN_signed_bin2bn() * The interesting stuff happens in the last bytes of the buffers, * the beginning is just padding (i.e. sign extension). */ i = sizeof(scratch) - test->mpi_len; if (!TEST_int_eq(BN_signed_bn2bin(bn, scratch, sizeof(scratch)), sizeof(scratch)) || !TEST_true(copy_reversed(reversed, scratch, sizeof(scratch))) || !TEST_mem_eq(test->mpi, test->mpi_len, scratch + i, test->mpi_len)) goto err; if (!TEST_ptr(bn2 = BN_signed_bin2bn(scratch, sizeof(scratch), NULL)) || !TEST_BN_eq(bn, bn2)) goto err; BN_free(bn2); bn2 = NULL; /* Check that a parse of the reversed buffer works too */ if (!TEST_ptr(bn2 = BN_signed_lebin2bn(reversed, sizeof(reversed), NULL)) || !TEST_BN_eq(bn, bn2)) goto err; BN_free(bn2); bn2 = NULL; /* * Check BN_signed_bn2lebin() / BN_signed_lebin2bn() * The interesting stuff happens in the first bytes of the buffers, * the end is just padding (i.e. sign extension). */ i = sizeof(reversed) - test->mpi_len; if (!TEST_int_eq(BN_signed_bn2lebin(bn, scratch, sizeof(scratch)), sizeof(scratch)) || !TEST_true(copy_reversed(reversed, scratch, sizeof(scratch))) || !TEST_mem_eq(test->mpi, test->mpi_len, reversed + i, test->mpi_len)) goto err; if (!TEST_ptr(bn2 = BN_signed_lebin2bn(scratch, sizeof(scratch), NULL)) || !TEST_BN_eq(bn, bn2)) goto err; BN_free(bn2); bn2 = NULL; /* Check that a parse of the reversed buffer works too */ if (!TEST_ptr(bn2 = BN_signed_bin2bn(reversed, sizeof(reversed), NULL)) || !TEST_BN_eq(bn, bn2)) goto err; st = 1; err: BN_free(bn2); BN_free(bn); return st; } static int test_dec2bn(void) { BIGNUM *bn = NULL; int st = 0; if (!TEST_int_eq(parsedecBN(&bn, "0"), 1) || !TEST_BN_eq_word(bn, 0) || !TEST_BN_eq_zero(bn) || !TEST_BN_le_zero(bn) || !TEST_BN_ge_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parsedecBN(&bn, "256"), 3) || !TEST_BN_eq_word(bn, 256) || !TEST_BN_ge_zero(bn) || !TEST_BN_gt_zero(bn) || !TEST_BN_ne_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parsedecBN(&bn, "-42"), 3) || !TEST_BN_abs_eq_word(bn, 42) || !TEST_BN_lt_zero(bn) || !TEST_BN_le_zero(bn) || !TEST_BN_ne_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parsedecBN(&bn, "1"), 1) || !TEST_BN_eq_word(bn, 1) || !TEST_BN_ne_zero(bn) || !TEST_BN_gt_zero(bn) || !TEST_BN_ge_zero(bn) || !TEST_BN_eq_one(bn) || !TEST_BN_odd(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parsedecBN(&bn, "-0"), 2) || !TEST_BN_eq_zero(bn) || !TEST_BN_ge_zero(bn) || !TEST_BN_le_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parsedecBN(&bn, "42trailing garbage is ignored"), 2) || !TEST_BN_abs_eq_word(bn, 42) || !TEST_BN_ge_zero(bn) || !TEST_BN_gt_zero(bn) || !TEST_BN_ne_zero(bn) || !TEST_BN_even(bn)) goto err; st = 1; err: BN_free(bn); return st; } static int test_hex2bn(void) { BIGNUM *bn = NULL; int st = 0; if (!TEST_int_eq(parseBN(&bn, "0"), 1) || !TEST_BN_eq_zero(bn) || !TEST_BN_ge_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parseBN(&bn, "256"), 3) || !TEST_BN_eq_word(bn, 0x256) || !TEST_BN_ge_zero(bn) || !TEST_BN_gt_zero(bn) || !TEST_BN_ne_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parseBN(&bn, "-42"), 3) || !TEST_BN_abs_eq_word(bn, 0x42) || !TEST_BN_lt_zero(bn) || !TEST_BN_le_zero(bn) || !TEST_BN_ne_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parseBN(&bn, "cb"), 2) || !TEST_BN_eq_word(bn, 0xCB) || !TEST_BN_ge_zero(bn) || !TEST_BN_gt_zero(bn) || !TEST_BN_ne_zero(bn) || !TEST_BN_odd(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parseBN(&bn, "-0"), 2) || !TEST_BN_eq_zero(bn) || !TEST_BN_ge_zero(bn) || !TEST_BN_le_zero(bn) || !TEST_BN_even(bn)) goto err; BN_free(bn); bn = NULL; if (!TEST_int_eq(parseBN(&bn, "abctrailing garbage is ignored"), 3) || !TEST_BN_eq_word(bn, 0xabc) || !TEST_BN_ge_zero(bn) || !TEST_BN_gt_zero(bn) || !TEST_BN_ne_zero(bn) || !TEST_BN_even(bn)) goto err; st = 1; err: BN_free(bn); return st; } static int test_asc2bn(void) { BIGNUM *bn = NULL; int st = 0; if (!TEST_ptr(bn = BN_new())) goto err; if (!TEST_true(BN_asc2bn(&bn, "0")) || !TEST_BN_eq_zero(bn) || !TEST_BN_ge_zero(bn)) goto err; if (!TEST_true(BN_asc2bn(&bn, "256")) || !TEST_BN_eq_word(bn, 256) || !TEST_BN_ge_zero(bn)) goto err; if (!TEST_true(BN_asc2bn(&bn, "-42")) || !TEST_BN_abs_eq_word(bn, 42) || !TEST_BN_lt_zero(bn)) goto err; if (!TEST_true(BN_asc2bn(&bn, "0x1234")) || !TEST_BN_eq_word(bn, 0x1234) || !TEST_BN_ge_zero(bn)) goto err; if (!TEST_true(BN_asc2bn(&bn, "0X1234")) || !TEST_BN_eq_word(bn, 0x1234) || !TEST_BN_ge_zero(bn)) goto err; if (!TEST_true(BN_asc2bn(&bn, "-0xabcd")) || !TEST_BN_abs_eq_word(bn, 0xabcd) || !TEST_BN_lt_zero(bn)) goto err; if (!TEST_true(BN_asc2bn(&bn, "-0")) || !TEST_BN_eq_zero(bn) || !TEST_BN_ge_zero(bn)) goto err; if (!TEST_true(BN_asc2bn(&bn, "123trailing garbage is ignored")) || !TEST_BN_eq_word(bn, 123) || !TEST_BN_ge_zero(bn)) goto err; st = 1; err: BN_free(bn); return st; } static const MPITEST kMPITests[] = { {"0", "\x00\x00\x00\x00", 4}, {"1", "\x00\x00\x00\x01\x01", 5}, {"-1", "\x00\x00\x00\x01\x81", 5}, {"128", "\x00\x00\x00\x02\x00\x80", 6}, {"256", "\x00\x00\x00\x02\x01\x00", 6}, {"-256", "\x00\x00\x00\x02\x81\x00", 6}, }; static int test_mpi(int i) { uint8_t scratch[8]; const MPITEST *test = &kMPITests[i]; size_t mpi_len, mpi_len2; BIGNUM *bn = NULL; BIGNUM *bn2 = NULL; int st = 0; if (!TEST_ptr(bn = BN_new()) || !TEST_true(BN_asc2bn(&bn, test->base10))) goto err; mpi_len = BN_bn2mpi(bn, NULL); if (!TEST_size_t_le(mpi_len, sizeof(scratch))) goto err; if (!TEST_size_t_eq(mpi_len2 = BN_bn2mpi(bn, scratch), mpi_len) || !TEST_mem_eq(test->mpi, test->mpi_len, scratch, mpi_len)) goto err; if (!TEST_ptr(bn2 = BN_mpi2bn(scratch, mpi_len, NULL))) goto err; if (!TEST_BN_eq(bn, bn2)) { BN_free(bn2); goto err; } BN_free(bn2); st = 1; err: BN_free(bn); return st; } static int test_bin2zero(void) { unsigned char input[] = { 0 }; BIGNUM *zbn = NULL; int ret = 0; if (!TEST_ptr(zbn = BN_new())) goto err; #define zerotest(fn) \ if (!TEST_ptr(fn(input, 1, zbn)) \ || !TEST_true(BN_is_zero(zbn)) \ || !TEST_ptr(fn(input, 0, zbn)) \ || !TEST_true(BN_is_zero(zbn)) \ || !TEST_ptr(fn(NULL, 0, zbn)) \ || !TEST_true(BN_is_zero(zbn))) \ goto err zerotest(BN_bin2bn); zerotest(BN_signed_bin2bn); zerotest(BN_lebin2bn); zerotest(BN_signed_lebin2bn); #undef zerotest ret = 1; err: BN_free(zbn); return ret; } static int test_bin2bn_lengths(void) { unsigned char input[] = { 1, 2 }; BIGNUM *bn_be = NULL, *bn_expected_be = NULL; BIGNUM *bn_le = NULL, *bn_expected_le = NULL; int ret = 0; if (!TEST_ptr(bn_be = BN_new()) || !TEST_ptr(bn_expected_be = BN_new()) || !TEST_true(BN_set_word(bn_expected_be, 0x102)) || !TEST_ptr(bn_le = BN_new()) || !TEST_ptr(bn_expected_le = BN_new()) || !TEST_true(BN_set_word(bn_expected_le, 0x201))) goto err; #define lengthtest(fn, e) \ if (!TEST_ptr_null(fn(input, -1, bn_##e)) \ || !TEST_ptr(fn(input, 0, bn_##e)) \ || !TEST_true(BN_is_zero(bn_##e)) \ || !TEST_ptr(fn(input, 2, bn_##e)) \ || !TEST_int_eq(BN_cmp(bn_##e, bn_expected_##e), 0)) \ goto err lengthtest(BN_bin2bn, be); lengthtest(BN_signed_bin2bn, be); lengthtest(BN_lebin2bn, le); lengthtest(BN_signed_lebin2bn, le); #undef lengthtest ret = 1; err: BN_free(bn_be); BN_free(bn_expected_be); BN_free(bn_le); BN_free(bn_expected_le); return ret; } static int test_rand(void) { BIGNUM *bn = NULL; int st = 0; if (!TEST_ptr(bn = BN_new())) return 0; /* Test BN_rand for degenerate cases with |top| and |bottom| parameters. */ if (!TEST_false(BN_rand(bn, 0, 0 /* top */ , 0 /* bottom */ )) || !TEST_false(BN_rand(bn, 0, 1 /* top */ , 1 /* bottom */ )) || !TEST_true(BN_rand(bn, 1, 0 /* top */ , 0 /* bottom */ )) || !TEST_BN_eq_one(bn) || !TEST_false(BN_rand(bn, 1, 1 /* top */ , 0 /* bottom */ )) || !TEST_true(BN_rand(bn, 1, -1 /* top */ , 1 /* bottom */ )) || !TEST_BN_eq_one(bn) || !TEST_true(BN_rand(bn, 2, 1 /* top */ , 0 /* bottom */ )) || !TEST_BN_eq_word(bn, 3)) goto err; st = 1; err: BN_free(bn); return st; } /* * Run some statistical tests to provide a degree confidence that the * BN_rand_range() function works as expected. The test cases and * critical values are generated by the bn_rand_range script. * * Each individual test is a Chi^2 goodness of fit for a specified number * of samples and range. The samples are assumed to be independent and * that they are from a discrete uniform distribution. * * Some of these individual tests are expected to fail, the success/failure * of each is an independent Bernoulli trial. The number of such successes * will form a binomial distribution. The count of the successes is compared * against a precomputed critical value to determine the overall outcome. */ struct rand_range_case { unsigned int range; unsigned int iterations; double critical; }; #include "bn_rand_range.h" static int test_rand_range_single(size_t n) { const unsigned int range = rand_range_cases[n].range; const unsigned int iterations = rand_range_cases[n].iterations; const double critical = rand_range_cases[n].critical; const double expected = iterations / (double)range; double sum = 0; BIGNUM *rng = NULL, *val = NULL; size_t *counts; unsigned int i, v; int res = 0; if (!TEST_ptr(counts = OPENSSL_zalloc(sizeof(*counts) * range)) || !TEST_ptr(rng = BN_new()) || !TEST_ptr(val = BN_new()) || !TEST_true(BN_set_word(rng, range))) goto err; for (i = 0; i < iterations; i++) { if (!TEST_true(BN_rand_range(val, rng)) || !TEST_uint_lt(v = (unsigned int)BN_get_word(val), range)) goto err; counts[v]++; } for (i = 0; i < range; i++) { const double delta = counts[i] - expected; sum += delta * delta; } sum /= expected; if (sum > critical) { TEST_info("Chi^2 test negative %.4f > %4.f", sum, critical); TEST_note("test case %zu range %u iterations %u", n + 1, range, iterations); goto err; } res = 1; err: BN_free(rng); BN_free(val); OPENSSL_free(counts); return res; } static int test_rand_range(void) { int n_success = 0; size_t i; for (i = 0; i < OSSL_NELEM(rand_range_cases); i++) n_success += test_rand_range_single(i); if (TEST_int_ge(n_success, binomial_critical)) return 1; TEST_note("This test is expected to fail by chance 0.01%% of the time."); return 0; } static int test_negzero(void) { BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL; BIGNUM *numerator = NULL, *denominator = NULL; int consttime, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(c = BN_new()) || !TEST_ptr(d = BN_new())) goto err; /* Test that BN_mul never gives negative zero. */ if (!TEST_true(BN_set_word(a, 1))) goto err; BN_set_negative(a, 1); BN_zero(b); if (!TEST_true(BN_mul(c, a, b, ctx))) goto err; if (!TEST_BN_eq_zero(c) || !TEST_BN_ge_zero(c)) goto err; for (consttime = 0; consttime < 2; consttime++) { if (!TEST_ptr(numerator = BN_new()) || !TEST_ptr(denominator = BN_new())) goto err; if (consttime) { BN_set_flags(numerator, BN_FLG_CONSTTIME); BN_set_flags(denominator, BN_FLG_CONSTTIME); } /* Test that BN_div never gives negative zero in the quotient. */ if (!TEST_true(BN_set_word(numerator, 1)) || !TEST_true(BN_set_word(denominator, 2))) goto err; BN_set_negative(numerator, 1); if (!TEST_true(BN_div(a, b, numerator, denominator, ctx)) || !TEST_BN_eq_zero(a) || !TEST_BN_ge_zero(a)) goto err; /* Test that BN_div never gives negative zero in the remainder. */ if (!TEST_true(BN_set_word(denominator, 1)) || !TEST_true(BN_div(a, b, numerator, denominator, ctx)) || !TEST_BN_eq_zero(b) || !TEST_BN_ge_zero(b)) goto err; BN_free(numerator); BN_free(denominator); numerator = denominator = NULL; } /* Test that BN_set_negative will not produce a negative zero. */ BN_zero(a); BN_set_negative(a, 1); if (BN_is_negative(a)) goto err; st = 1; err: BN_free(a); BN_free(b); BN_free(c); BN_free(d); BN_free(numerator); BN_free(denominator); return st; } static int test_badmod(void) { BIGNUM *a = NULL, *b = NULL, *zero = NULL; BN_MONT_CTX *mont = NULL; int st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(zero = BN_new()) || !TEST_ptr(mont = BN_MONT_CTX_new())) goto err; BN_zero(zero); if (!TEST_false(BN_div(a, b, BN_value_one(), zero, ctx))) goto err; ERR_clear_error(); if (!TEST_false(BN_mod_mul(a, BN_value_one(), BN_value_one(), zero, ctx))) goto err; ERR_clear_error(); if (!TEST_false(BN_mod_exp(a, BN_value_one(), BN_value_one(), zero, ctx))) goto err; ERR_clear_error(); if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(), zero, ctx, NULL))) goto err; ERR_clear_error(); if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(), zero, ctx, NULL))) goto err; ERR_clear_error(); if (!TEST_false(BN_MONT_CTX_set(mont, zero, ctx))) goto err; ERR_clear_error(); /* Some operations also may not be used with an even modulus. */ if (!TEST_true(BN_set_word(b, 16))) goto err; if (!TEST_false(BN_MONT_CTX_set(mont, b, ctx))) goto err; ERR_clear_error(); if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(), b, ctx, NULL))) goto err; ERR_clear_error(); if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(), b, ctx, NULL))) goto err; ERR_clear_error(); st = 1; err: BN_free(a); BN_free(b); BN_free(zero); BN_MONT_CTX_free(mont); return st; } static int test_expmodzero(void) { BIGNUM *a = NULL, *r = NULL, *zero = NULL; int st = 0; if (!TEST_ptr(zero = BN_new()) || !TEST_ptr(a = BN_new()) || !TEST_ptr(r = BN_new())) goto err; BN_zero(zero); if (!TEST_true(BN_mod_exp(r, a, zero, BN_value_one(), NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_mont(r, a, zero, BN_value_one(), NULL, NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_mont_consttime(r, a, zero, BN_value_one(), NULL, NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_mont_word(r, 42, zero, BN_value_one(), NULL, NULL)) || !TEST_BN_eq_zero(r)) goto err; st = 1; err: BN_free(zero); BN_free(a); BN_free(r); return st; } static int test_expmodone(void) { int ret = 0, i; BIGNUM *r = BN_new(); BIGNUM *a = BN_new(); BIGNUM *p = BN_new(); BIGNUM *m = BN_new(); if (!TEST_ptr(r) || !TEST_ptr(a) || !TEST_ptr(p) || !TEST_ptr(p) || !TEST_ptr(m) || !TEST_true(BN_set_word(a, 1)) || !TEST_true(BN_set_word(p, 0)) || !TEST_true(BN_set_word(m, 1))) goto err; /* Calculate r = 1 ^ 0 mod 1, and check the result is always 0 */ for (i = 0; i < 2; i++) { if (!TEST_true(BN_mod_exp(r, a, p, m, NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_mont(r, a, p, m, NULL, NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_mont_consttime(r, a, p, m, NULL, NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_mont_word(r, 1, p, m, NULL, NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_simple(r, a, p, m, NULL)) || !TEST_BN_eq_zero(r) || !TEST_true(BN_mod_exp_recp(r, a, p, m, NULL)) || !TEST_BN_eq_zero(r)) goto err; /* Repeat for r = 1 ^ 0 mod -1 */ if (i == 0) BN_set_negative(m, 1); } ret = 1; err: BN_free(r); BN_free(a); BN_free(p); BN_free(m); return ret; } static int test_smallprime(int kBits) { BIGNUM *r; int st = 0; if (!TEST_ptr(r = BN_new())) goto err; if (kBits <= 1) { if (!TEST_false(BN_generate_prime_ex(r, kBits, 0, NULL, NULL, NULL))) goto err; } else { if (!TEST_true(BN_generate_prime_ex(r, kBits, 0, NULL, NULL, NULL)) || !TEST_int_eq(BN_num_bits(r), kBits)) goto err; } st = 1; err: BN_free(r); return st; } static int test_smallsafeprime(int kBits) { BIGNUM *r; int st = 0; if (!TEST_ptr(r = BN_new())) goto err; if (kBits <= 5 && kBits != 3) { if (!TEST_false(BN_generate_prime_ex(r, kBits, 1, NULL, NULL, NULL))) goto err; } else { if (!TEST_true(BN_generate_prime_ex(r, kBits, 1, NULL, NULL, NULL)) || !TEST_int_eq(BN_num_bits(r), kBits)) goto err; } st = 1; err: BN_free(r); return st; } static int primes[] = { 2, 3, 5, 7, 17863 }; static int test_is_prime(int i) { int ret = 0; BIGNUM *r = NULL; int trial; if (!TEST_ptr(r = BN_new())) goto err; for (trial = 0; trial <= 1; ++trial) { if (!TEST_true(BN_set_word(r, primes[i])) || !TEST_int_eq(BN_check_prime(r, ctx, NULL), 1)) goto err; } ret = 1; err: BN_free(r); return ret; } static int not_primes[] = { -1, 0, 1, 4 }; static int test_not_prime(int i) { int ret = 0; BIGNUM *r = NULL; int trial; if (!TEST_ptr(r = BN_new())) goto err; for (trial = 0; trial <= 1; ++trial) { if (!TEST_true(BN_set_word(r, not_primes[i])) || !TEST_false(BN_check_prime(r, ctx, NULL))) goto err; } ret = 1; err: BN_free(r); return ret; } static int test_ctx_set_ct_flag(BN_CTX *c) { int st = 0; size_t i; BIGNUM *b[15]; BN_CTX_start(c); for (i = 0; i < OSSL_NELEM(b); i++) { if (!TEST_ptr(b[i] = BN_CTX_get(c))) goto err; if (i % 2 == 1) BN_set_flags(b[i], BN_FLG_CONSTTIME); } st = 1; err: BN_CTX_end(c); return st; } static int test_ctx_check_ct_flag(BN_CTX *c) { int st = 0; size_t i; BIGNUM *b[30]; BN_CTX_start(c); for (i = 0; i < OSSL_NELEM(b); i++) { if (!TEST_ptr(b[i] = BN_CTX_get(c))) goto err; if (!TEST_false(BN_get_flags(b[i], BN_FLG_CONSTTIME))) goto err; } st = 1; err: BN_CTX_end(c); return st; } static int test_ctx_consttime_flag(void) { /*- * The constant-time flag should not "leak" among BN_CTX frames: * * - test_ctx_set_ct_flag() starts a frame in the given BN_CTX and * sets the BN_FLG_CONSTTIME flag on some of the BIGNUMs obtained * from the frame before ending it. * - test_ctx_check_ct_flag() then starts a new frame and gets a * number of BIGNUMs from it. In absence of leaks, none of the * BIGNUMs in the new frame should have BN_FLG_CONSTTIME set. * * In actual BN_CTX usage inside libcrypto the leak could happen at * any depth level in the BN_CTX stack, with varying results * depending on the patterns of sibling trees of nested function * calls sharing the same BN_CTX object, and the effect of * unintended BN_FLG_CONSTTIME on the called BN_* functions. * * This simple unit test abstracts away this complexity and verifies * that the leak does not happen between two sibling functions * sharing the same BN_CTX object at the same level of nesting. * */ BN_CTX *nctx = NULL; BN_CTX *sctx = NULL; size_t i = 0; int st = 0; if (!TEST_ptr(nctx = BN_CTX_new()) || !TEST_ptr(sctx = BN_CTX_secure_new())) goto err; for (i = 0; i < 2; i++) { BN_CTX *c = i == 0 ? nctx : sctx; if (!TEST_true(test_ctx_set_ct_flag(c)) || !TEST_true(test_ctx_check_ct_flag(c))) goto err; } st = 1; err: BN_CTX_free(nctx); BN_CTX_free(sctx); return st; } static int test_coprime(void) { BIGNUM *a = NULL, *b = NULL; int ret = 0; ret = TEST_ptr(a = BN_new()) && TEST_ptr(b = BN_new()) && TEST_true(BN_set_word(a, 66)) && TEST_true(BN_set_word(b, 99)) && TEST_int_eq(BN_are_coprime(a, b, ctx), 0) && TEST_int_eq(BN_are_coprime(b, a, ctx), 0) && TEST_true(BN_set_word(a, 67)) && TEST_int_eq(BN_are_coprime(a, b, ctx), 1) && TEST_int_eq(BN_are_coprime(b, a, ctx), 1); BN_free(a); BN_free(b); return ret; } static int test_gcd_prime(void) { BIGNUM *a = NULL, *b = NULL, *gcd = NULL; int i, st = 0; if (!TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(gcd = BN_new())) goto err; if (!TEST_true(BN_generate_prime_ex(a, 1024, 0, NULL, NULL, NULL))) goto err; for (i = 0; i < NUM_PRIME_TESTS; i++) { if (!TEST_true(BN_generate_prime_ex(b, 1024, 0, NULL, NULL, NULL)) || !TEST_true(BN_gcd(gcd, a, b, ctx)) || !TEST_true(BN_is_one(gcd)) || !TEST_true(BN_are_coprime(a, b, ctx))) goto err; } st = 1; err: BN_free(a); BN_free(b); BN_free(gcd); return st; } typedef struct mod_exp_test_st { const char *base; const char *exp; const char *mod; const char *res; } MOD_EXP_TEST; static const MOD_EXP_TEST ModExpTests[] = { /* original test vectors for rsaz_512_sqr bug, by OSS-Fuzz */ { "1166180238001879113042182292626169621106255558914000595999312084" "4627946820899490684928760491249738643524880720584249698100907201" "002086675047927600340800371", "8000000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000000000000000000000000000000000000000" "00000000", "1340780792684523720980737645613191762604395855615117867483316354" "3294276330515137663421134775482798690129946803802212663956180562" "088664022929883876655300863", "8243904058268085430037326628480645845409758077568738532059032482" "8294114415890603594730158120426756266457928475330450251339773498" "26758407619521544102068438" }, { "4974270041410803822078866696159586946995877618987010219312844726" "0284386121835740784990869050050504348861513337232530490826340663" "197278031692737429054", "4974270041410803822078866696159586946995877428188754995041148539" "1663243362592271353668158565195557417149981094324650322556843202" "946445882670777892608", "1340780716511420227215592830971452482815377482627251725537099028" "4429769497230131760206012644403029349547320953206103351725462999" "947509743623340557059752191", "5296244594780707015616522701706118082963369547253192207884519362" "1767869984947542695665420219028522815539559194793619684334900442" "49304558011362360473525933" }, /* test vectors for rsaz_512_srq bug, with rcx/rbx=1 */ { /* between first and second iteration */ "5148719036160389201525610950887605325980251964889646556085286545" "3931548809178823413169359635978762036512397113080988070677858033" "36463909753993540214027190", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between second and third iteration */ "8908340854353752577419678771330460827942371434853054158622636544" "8151360109722890949471912566649465436296659601091730745087014189" "2672764191218875181826063", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between third and fourth iteration */ "3427446396505596330634350984901719674479522569002785244080234738" "4288743635435746136297299366444548736533053717416735379073185344" "26985272974404612945608761", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between fourth and fifth iteration */ "3472743044917564564078857826111874560045331237315597383869652985" "6919870028890895988478351133601517365908445058405433832718206902" "4088133164805266956353542", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between fifth and sixth iteration */ "3608632990153469264412378349742339216742409743898601587274768025" "0110772032985643555192767717344946174122842255204082586753499651" "14483434992887431333675068", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between sixth and seventh iteration */ "8455374370234070242910508226941981520235709767260723212165264877" "8689064388017521524568434328264431772644802567028663962962025746" "9283458217850119569539086", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between seventh and eighth iteration */ "5155371529688532178421209781159131443543419764974688878527112131" "7446518205609427412336183157918981038066636807317733319323257603" "04416292040754017461076359", "1005585594745694782468051874865438459560952436544429503329267108" "2791323022555160232601405723625177570767523893639864538140315412" "108959927459825236754563832", "1005585594745694782468051874865438459560952436544429503329267108" "2791323022555160232601405723625177570767523893639864538140315412" "108959927459825236754563833", "1" }, /* test vectors for rsaz_512_srq bug, with rcx/rbx=2 */ { /* between first and second iteration */ "3155666506033786929967309937640790361084670559125912405342594979" "4345142818528956285490897841406338022378565972533508820577760065" "58494345853302083699912572", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between second and third iteration */ "3789819583801342198190405714582958759005991915505282362397087750" "4213544724644823098843135685133927198668818185338794377239590049" "41019388529192775771488319", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between third and forth iteration */ "4695752552040706867080542538786056470322165281761525158189220280" "4025547447667484759200742764246905647644662050122968912279199065" "48065034299166336940507214", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between forth and fifth iteration */ "2159140240970485794188159431017382878636879856244045329971239574" "8919691133560661162828034323196457386059819832804593989740268964" "74502911811812651475927076", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between fifth and sixth iteration */ "5239312332984325668414624633307915097111691815000872662334695514" "5436533521392362443557163429336808208137221322444780490437871903" "99972784701334569424519255", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between sixth and seventh iteration */ "1977953647322612860406858017869125467496941904523063466791308891" "1172796739058531929470539758361774569875505293428856181093904091" "33788264851714311303725089", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042158", "6703903964971298549787012499102923063739682910296196688861780721" "8608820150367734884009371490834517138450159290932430254268769414" "05973284973216824503042159", "1" }, { /* between seventh and eighth iteration */ "6456987954117763835533395796948878140715006860263624787492985786" "8514630216966738305923915688821526449499763719943997120302368211" "04813318117996225041943964", "1340780792994259709957402499820584612747936582059239337772356144" "3721764030073546976801874298166903427690031858186486050853753882" "811946551499689575296532556", "1340780792994259709957402499820584612747936582059239337772356144" "3721764030073546976801874298166903427690031858186486050853753882" "811946551499689575296532557", "1" } }; static int test_mod_exp(int i) { const MOD_EXP_TEST *test = &ModExpTests[i]; int res = 0; BIGNUM* result = NULL; BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL; char *s = NULL; if (!TEST_ptr(result = BN_new()) || !TEST_true(BN_dec2bn(&base, test->base)) || !TEST_true(BN_dec2bn(&exponent, test->exp)) || !TEST_true(BN_dec2bn(&modulo, test->mod))) goto err; if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1)) goto err; if (!TEST_ptr(s = BN_bn2dec(result))) goto err; if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res))) goto err; res = 1; err: OPENSSL_free(s); BN_free(result); BN_free(base); BN_free(exponent); BN_free(modulo); return res; } static int test_mod_exp_consttime(int i) { const MOD_EXP_TEST *test = &ModExpTests[i]; int res = 0; BIGNUM* result = NULL; BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL; char *s = NULL; if (!TEST_ptr(result = BN_new()) || !TEST_true(BN_dec2bn(&base, test->base)) || !TEST_true(BN_dec2bn(&exponent, test->exp)) || !TEST_true(BN_dec2bn(&modulo, test->mod))) goto err; BN_set_flags(base, BN_FLG_CONSTTIME); BN_set_flags(exponent, BN_FLG_CONSTTIME); BN_set_flags(modulo, BN_FLG_CONSTTIME); if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1)) goto err; if (!TEST_ptr(s = BN_bn2dec(result))) goto err; if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res))) goto err; res = 1; err: OPENSSL_free(s); BN_free(result); BN_free(base); BN_free(exponent); BN_free(modulo); return res; } /* * Regression test to ensure BN_mod_exp2_mont fails safely if argument m is * zero. */ static int test_mod_exp2_mont(void) { int res = 0; BIGNUM *exp_result = NULL; BIGNUM *exp_a1 = NULL, *exp_p1 = NULL, *exp_a2 = NULL, *exp_p2 = NULL, *exp_m = NULL; if (!TEST_ptr(exp_result = BN_new()) || !TEST_ptr(exp_a1 = BN_new()) || !TEST_ptr(exp_p1 = BN_new()) || !TEST_ptr(exp_a2 = BN_new()) || !TEST_ptr(exp_p2 = BN_new()) || !TEST_ptr(exp_m = BN_new())) goto err; if (!TEST_true(BN_one(exp_a1)) || !TEST_true(BN_one(exp_p1)) || !TEST_true(BN_one(exp_a2)) || !TEST_true(BN_one(exp_p2))) goto err; BN_zero(exp_m); /* input of 0 is even, so must fail */ if (!TEST_int_eq(BN_mod_exp2_mont(exp_result, exp_a1, exp_p1, exp_a2, exp_p2, exp_m, ctx, NULL), 0)) goto err; res = 1; err: BN_free(exp_result); BN_free(exp_a1); BN_free(exp_p1); BN_free(exp_a2); BN_free(exp_p2); BN_free(exp_m); return res; } static int file_test_run(STANZA *s) { static const FILETEST filetests[] = { {"Sum", file_sum}, {"LShift1", file_lshift1}, {"LShift", file_lshift}, {"RShift", file_rshift}, {"Square", file_square}, {"Product", file_product}, {"Quotient", file_quotient}, {"ModMul", file_modmul}, {"ModExp", file_modexp}, {"Exp", file_exp}, {"ModSqrt", file_modsqrt}, {"GCD", file_gcd}, }; int numtests = OSSL_NELEM(filetests); const FILETEST *tp = filetests; for ( ; --numtests >= 0; tp++) { if (findattr(s, tp->name) != NULL) { if (!tp->func(s)) { TEST_info("%s:%d: Failed %s test", s->test_file, s->start, tp->name); return 0; } return 1; } } TEST_info("%s:%d: Unknown test", s->test_file, s->start); return 0; } static int run_file_tests(int i) { STANZA *s = NULL; char *testfile = test_get_argument(i); int c; if (!TEST_ptr(s = OPENSSL_zalloc(sizeof(*s)))) return 0; if (!test_start_file(s, testfile)) { OPENSSL_free(s); return 0; } /* Read test file. */ while (!BIO_eof(s->fp) && test_readstanza(s)) { if (s->numpairs == 0) continue; if (!file_test_run(s)) s->errors++; s->numtests++; test_clearstanza(s); } test_end_file(s); c = s->errors; OPENSSL_free(s); return c == 0; } typedef enum OPTION_choice { OPT_ERR = -1, OPT_EOF = 0, OPT_STOCHASTIC_TESTS, OPT_TEST_ENUM } OPTION_CHOICE; const OPTIONS *test_get_options(void) { static const OPTIONS test_options[] = { OPT_TEST_OPTIONS_WITH_EXTRA_USAGE("[file...]\n"), { "stochastic", OPT_STOCHASTIC_TESTS, '-', "Run stochastic tests" }, { OPT_HELP_STR, 1, '-', "file\tFile to run tests on. Normal tests are not run\n" }, { NULL } }; return test_options; } int setup_tests(void) { OPTION_CHOICE o; int n, stochastic = 0; while ((o = opt_next()) != OPT_EOF) { switch (o) { case OPT_STOCHASTIC_TESTS: stochastic = 1; break; case OPT_TEST_CASES: break; default: case OPT_ERR: return 0; } } n = test_get_argument_count(); if (!TEST_ptr(ctx = BN_CTX_new())) return 0; if (n == 0) { ADD_TEST(test_sub); ADD_TEST(test_div_recip); ADD_ALL_TESTS(test_signed_mod_replace_ab, OSSL_NELEM(signed_mod_tests)); ADD_ALL_TESTS(test_signed_mod_replace_ba, OSSL_NELEM(signed_mod_tests)); ADD_TEST(test_mod); ADD_TEST(test_modexp_mont5); ADD_TEST(test_kronecker); ADD_TEST(test_rand); ADD_TEST(test_bn2padded); ADD_TEST(test_dec2bn); ADD_TEST(test_hex2bn); ADD_TEST(test_asc2bn); ADD_TEST(test_bin2zero); ADD_TEST(test_bin2bn_lengths); ADD_ALL_TESTS(test_mpi, (int)OSSL_NELEM(kMPITests)); ADD_ALL_TESTS(test_bn2signed, (int)OSSL_NELEM(kSignedTests_BE)); ADD_TEST(test_negzero); ADD_TEST(test_badmod); ADD_TEST(test_expmodzero); ADD_TEST(test_expmodone); ADD_ALL_TESTS(test_smallprime, 16); ADD_ALL_TESTS(test_smallsafeprime, 16); ADD_TEST(test_swap); ADD_TEST(test_ctx_consttime_flag); #ifndef OPENSSL_NO_EC2M ADD_TEST(test_gf2m_add); ADD_TEST(test_gf2m_mod); ADD_TEST(test_gf2m_mul); ADD_TEST(test_gf2m_sqr); ADD_TEST(test_gf2m_modinv); ADD_TEST(test_gf2m_moddiv); ADD_TEST(test_gf2m_modexp); ADD_TEST(test_gf2m_modsqrt); ADD_TEST(test_gf2m_modsolvequad); #endif ADD_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes)); ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes)); ADD_TEST(test_gcd_prime); ADD_TEST(test_coprime); ADD_ALL_TESTS(test_mod_exp, (int)OSSL_NELEM(ModExpTests)); ADD_ALL_TESTS(test_mod_exp_consttime, (int)OSSL_NELEM(ModExpTests)); ADD_TEST(test_mod_exp2_mont); if (stochastic) ADD_TEST(test_rand_range); } else { ADD_ALL_TESTS(run_file_tests, n); } return 1; } void cleanup_tests(void) { BN_CTX_free(ctx); }