/* * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the OpenSSL license (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 #include #include #include #include #include #include "internal/nelem.h" #include "internal/numbers.h" #include "testutil.h" #ifdef OPENSSL_SYS_WINDOWS # define strcasecmp _stricmp #endif /* * Things in boring, not in openssl. TODO we should add them. */ #define HAVE_BN_PADDED 0 #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 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 (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_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) { BN_bntest_rand(a, 512, 0, 0); BN_copy(b, a); if (!TEST_int_ne(BN_set_bit(a, i), 0)) goto err; BN_add_word(b, i); } else { BN_bntest_rand(b, 400 + i - NUM1, 0, 0); BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); } BN_sub(c, a, b); BN_add(c, c, b); BN_sub(c, c, a); if (!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) { BN_bntest_rand(a, 400, 0, 0); BN_copy(b, a); BN_lshift(a, a, i); BN_add_word(a, i); } else BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0); BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); BN_RECP_CTX_set(recp, b, ctx); BN_div_recp(d, c, a, recp, ctx); BN_mul(e, d, b, ctx); BN_add(d, e, c); BN_sub(d, d, a); if (!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 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; BN_bntest_rand(a, 1024, 0, 0); for (i = 0; i < NUM0; i++) { BN_bntest_rand(b, 450 + i * 10, 0, 0); BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); BN_mod(c, a, b, ctx); BN_div(d, e, a, b, ctx); BN_sub(e, e, c); if (!TEST_BN_eq_zero(e)) 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; BN_bntest_rand(m, 1024, 0, 1); /* must be odd for montgomery */ /* Zero exponent */ BN_bntest_rand(a, 1024, 0, 0); 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 */ BN_hex2bn(&a, "7878787878787878787878787878787878787878787878787878787878787878" "7878787878787878787878787878787878787878787878787878787878787878" "7878787878787878787878787878787878787878787878787878787878787878" "7878787878787878787878787878787878787878787878787878787878787878"); BN_hex2bn(&b, "095D72C08C097BA488C5E439C655A192EAFB6380073D8C2664668EDDB4060744" "E16E57FB4EDB9AE10A0CEFCDC28A894F689A128379DB279D48A2E20849D68593" "9B7803BCF46CEBF5C533FB0DD35B080593DE5472E3FE5DB951B8BFF9B4CB8F03" "9CC638A5EE8CDD703719F8000E6A9F63BEED5F2FCD52FF293EA05A251BB4AB81"); BN_hex2bn(&n, "D78AF684E71DB0C39CFF4E64FB9DB567132CB9C50CC98009FEB820B26F2DED9B" "91B9B5E2B83AE0AE4EB4E0523CA726BFBE969B89FD754F674CE99118C3F2D1C5" "D81FDC7C54E02B60262B241D53C040E99E45826ECA37A804668E690E1AFC1CA4" "2C9A15D84D4954425F0B7642FC0BD9D7B24E2618D2DCC9B729D944BADACFDDAF"); BN_MONT_CTX_set(mont, n, ctx); BN_mod_mul_montgomery(c, a, b, mont, ctx); BN_mod_mul_montgomery(d, b, a, mont, ctx); if (!TEST_BN_eq(c, d)) goto err; /* Regression test for carry bug in sqr[x]8x_mont */ parse_bigBN(&n, bn1strings); parse_bigBN(&a, bn2strings); BN_free(b); b = BN_dup(a); BN_MONT_CTX_set(mont, n, ctx); BN_mod_mul_montgomery(c, a, a, mont, ctx); BN_mod_mul_montgomery(d, a, b, mont, ctx); if (!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 }; parse_bigBN(&a, ahex); parse_bigBN(&n, nhex); } BN_free(b); b = BN_dup(a); BN_MONT_CTX_set(mont, n, ctx); BN_mod_mul_montgomery(c, a, a, mont, ctx); BN_mod_mul_montgomery(d, a, b, mont, ctx); if (!TEST_BN_eq(c, d)) goto err; /* Regression test for bug in rsaz_1024_mul_avx2 */ BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"); BN_hex2bn(&b, "2020202020202020202020202020202020202020202020202020202020202020" "2020202020202020202020202020202020202020202020202020202020202020" "20202020202020FF202020202020202020202020202020202020202020202020" "2020202020202020202020202020202020202020202020202020202020202020"); BN_hex2bn(&n, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020FF"); BN_MONT_CTX_set(mont, n, ctx); BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont); BN_mod_exp_mont(d, a, b, n, ctx, mont); if (!TEST_BN_eq(c, d)) goto err; /* Zero input */ BN_bntest_rand(p, 1024, 0, 0); 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. */ BN_one(a); BN_MONT_CTX_set(mont, m, ctx); 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. */ BN_bntest_rand(e, 1024, 0, 0); if (!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++) { BN_rand(a, 512, 0, 0); BN_copy(b, BN_value_one()); BN_set_negative(a, rand_neg()); BN_set_negative(b, rand_neg()); BN_GF2m_add(c, a, b); /* Test that two added values have the correct parity. */ if (!TEST_false((BN_is_odd(a) && BN_is_odd(c)) || (!BN_is_odd(a) && !BN_is_odd(c)))) goto err; BN_GF2m_add(c, c, c); /* Test that c + c = 0. */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 1024, 0, 0); for (j = 0; j < 2; j++) { BN_GF2m_mod(c, a, b[j]); BN_GF2m_add(d, a, c); BN_GF2m_mod(e, d, b[j]); /* Test that a + (a mod p) mod p == 0. */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 1024, 0, 0); BN_bntest_rand(c, 1024, 0, 0); BN_bntest_rand(d, 1024, 0, 0); for (j = 0; j < 2; j++) { BN_GF2m_mod_mul(e, a, c, b[j], ctx); BN_GF2m_add(f, a, d); BN_GF2m_mod_mul(g, f, c, b[j], ctx); BN_GF2m_mod_mul(h, d, c, b[j], ctx); BN_GF2m_add(f, e, g); BN_GF2m_add(f, f, h); /* Test that (a+d)*c = a*c + d*c. */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 1024, 0, 0); for (j = 0; j < 2; j++) { BN_GF2m_mod_sqr(c, a, b[j], ctx); BN_copy(d, a); BN_GF2m_mod_mul(d, a, d, b[j], ctx); BN_GF2m_add(d, c, d); /* Test that a*a = a^2. */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 512, 0, 0); for (j = 0; j < 2; j++) { BN_GF2m_mod_inv(c, a, b[j], ctx); BN_GF2m_mod_mul(d, a, c, b[j], ctx); /* Test that ((1/a)*a) = 1. */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 512, 0, 0); BN_bntest_rand(c, 512, 0, 0); for (j = 0; j < 2; j++) { BN_GF2m_mod_div(d, a, c, b[j], ctx); BN_GF2m_mod_mul(e, d, c, b[j], ctx); BN_GF2m_mod_div(f, a, e, b[j], ctx); /* Test that ((a/c)*c)/a = 1. */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 512, 0, 0); BN_bntest_rand(c, 512, 0, 0); BN_bntest_rand(d, 512, 0, 0); for (j = 0; j < 2; j++) { BN_GF2m_mod_exp(e, a, c, b[j], ctx); BN_GF2m_mod_exp(f, a, d, b[j], ctx); BN_GF2m_mod_mul(e, e, f, b[j], ctx); BN_add(f, c, d); BN_GF2m_mod_exp(f, a, f, b[j], ctx); BN_GF2m_add(f, e, f); /* Test that a^(c+d)=a^c*a^d. */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 512, 0, 0); for (j = 0; j < 2; j++) { BN_GF2m_mod(c, a, b[j]); BN_GF2m_mod_sqrt(d, a, b[j], ctx); BN_GF2m_mod_sqr(e, d, b[j], ctx); BN_GF2m_add(f, c, e); /* Test that d^2 = a, where d = sqrt(a). */ if (!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; BN_GF2m_arr2poly(p0, b[0]); BN_GF2m_arr2poly(p1, b[1]); for (i = 0; i < NUM0; i++) { BN_bntest_rand(a, 512, 0, 0); for (j = 0; j < 2; j++) { t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx); if (t) { s++; BN_GF2m_mod_sqr(d, c, b[j], ctx); BN_GF2m_add(d, c, d); BN_GF2m_mod(e, a, b[j]); BN_GF2m_add(e, e, d); /* * Test that solution of quadratic c satisfies c^2 + c = a. */ if (!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. * TODO: Test where all of |r|, |a|, and |b| point 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. * TODO: test that. */ 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. * TODO: Test where all of |r|, |a|, and |b| point 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; /* There are two possible answers. */ if (!TEST_true(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 test_bn2padded(void) { #if HAVE_BN_PADDED uint8_t zeros[256], out[256], reference[128]; BIGNUM *n = BN_new(); int st = 0; /* Test edge case at 0. */ if (n == NULL) goto err; if (!TEST_true(BN_bn2bin_padded(NULL, 0, n))) goto err; memset(out, -1, sizeof(out)); if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n)) 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 (size_t 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),A) bytes || TEST_int_eq(BN_bn2bin(n, reference), bytes)) goto err; /* Empty buffer should fail. */ if (!TEST_int_eq(BN_bn2bin_padded(NULL, 0, n)), 0) goto err; /* One byte short should fail. */ if (BN_bn2bin_padded(out, bytes - 1, n)) goto err; /* Exactly right size should encode. */ if (!TEST_true(BN_bn2bin_padded(out, bytes, n)) || TEST_mem_eq(out, bytes, reference, bytes)) goto err; /* Pad up one byte extra. */ if (!TEST_true(BN_bn2bin_padded(out, bytes + 1, n)) || !TEST_mem_eq(out + 1, bytes, reference, bytes) || !TEST_mem_eq(out, 1, zeros, 1)) goto err; /* Pad up to 256. */ if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n) || !TEST_mem_eq(out + sizeof(out) - bytes, bytes, reference, bytes) || !TEST_mem_eq(out, sizseof(out) - bytes, zeros, sizeof(out) - bytes)) goto err; } st = 1; err: BN_free(n); return st; #else return ctx != NULL; #endif } 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_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; } 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_smallprime(void) { static const int kBits = 10; BIGNUM *r; int st = 0; if (!TEST_ptr(r = BN_new()) || !TEST_true(BN_generate_prime_ex(r, (int)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_3_is_prime(void) { int ret = 0; BIGNUM *r = NULL; /* * For a long time, small primes were not considered prime when * do_trial_division was set. */ if (!TEST_ptr(r = BN_new()) || !TEST_true(BN_set_word(r, 3)) || !TEST_int_eq(BN_is_prime_fasttest_ex(r, 3 /* nchecks */, ctx, 0 /* do_trial_division */, NULL), 1) || !TEST_int_eq(BN_is_prime_fasttest_ex(r, 3 /* nchecks */, ctx, 1 /* do_trial_division */, NULL), 1)) goto err; ret = 1; err: BN_free(r); return ret; } 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}, }; 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; } int setup_tests(void) { int 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_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_ALL_TESTS(test_mpi, (int)OSSL_NELEM(kMPITests)); ADD_TEST(test_negzero); ADD_TEST(test_badmod); ADD_TEST(test_expmodzero); ADD_TEST(test_smallprime); #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_TEST(test_3_is_prime); } else { ADD_ALL_TESTS(run_file_tests, n); } return 1; } void cleanup_tests(void) { BN_CTX_free(ctx); }