-static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
- const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont);
-static int probable_prime(BIGNUM *rnd, int bits);
-static int probable_prime_dh_safe(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
-
-static const int prime_offsets[480] = {
- 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,
- 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163,
- 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 221, 223, 227, 229,
- 233, 239, 241, 247, 251, 257, 263, 269, 271, 277, 281, 283, 289, 293,
- 299, 307, 311, 313, 317, 323, 331, 337, 347, 349, 353, 359, 361, 367,
- 373, 377, 379, 383, 389, 391, 397, 401, 403, 409, 419, 421, 431, 433,
- 437, 439, 443, 449, 457, 461, 463, 467, 479, 481, 487, 491, 493, 499,
- 503, 509, 521, 523, 527, 529, 533, 541, 547, 551, 557, 559, 563, 569,
- 571, 577, 587, 589, 593, 599, 601, 607, 611, 613, 617, 619, 629, 631,
- 641, 643, 647, 653, 659, 661, 667, 673, 677, 683, 689, 691, 697, 701,
- 703, 709, 713, 719, 727, 731, 733, 739, 743, 751, 757, 761, 767, 769,
- 773, 779, 787, 793, 797, 799, 809, 811, 817, 821, 823, 827, 829, 839,
- 841, 851, 853, 857, 859, 863, 871, 877, 881, 883, 887, 893, 899, 901,
- 907, 911, 919, 923, 929, 937, 941, 943, 947, 949, 953, 961, 967, 971,
- 977, 983, 989, 991, 997, 1003, 1007, 1009, 1013, 1019, 1021, 1027, 1031,
- 1033, 1037, 1039, 1049, 1051, 1061, 1063, 1069, 1073, 1079, 1081, 1087,
- 1091, 1093, 1097, 1103, 1109, 1117, 1121, 1123, 1129, 1139, 1147, 1151,
- 1153, 1157, 1159, 1163, 1171, 1181, 1187, 1189, 1193, 1201, 1207, 1213,
- 1217, 1219, 1223, 1229, 1231, 1237, 1241, 1247, 1249, 1259, 1261, 1271,
- 1273, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1313, 1319,
- 1321, 1327, 1333, 1339, 1343, 1349, 1357, 1361, 1363, 1367, 1369, 1373,
- 1381, 1387, 1391, 1399, 1403, 1409, 1411, 1417, 1423, 1427, 1429, 1433,
- 1439, 1447, 1451, 1453, 1457, 1459, 1469, 1471, 1481, 1483, 1487, 1489,
- 1493, 1499, 1501, 1511, 1513, 1517, 1523, 1531, 1537, 1541, 1543, 1549,
- 1553, 1559, 1567, 1571, 1577, 1579, 1583, 1591, 1597, 1601, 1607, 1609,
- 1613, 1619, 1621, 1627, 1633, 1637, 1643, 1649, 1651, 1657, 1663, 1667,
- 1669, 1679, 1681, 1691, 1693, 1697, 1699, 1703, 1709, 1711, 1717, 1721,
- 1723, 1733, 1739, 1741, 1747, 1751, 1753, 1759, 1763, 1769, 1777, 1781,
- 1783, 1787, 1789, 1801, 1807, 1811, 1817, 1819, 1823, 1829, 1831, 1843,
- 1847, 1849, 1853, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1891, 1901,
- 1907, 1909, 1913, 1919, 1921, 1927, 1931, 1933, 1937, 1943, 1949, 1951,
- 1957, 1961, 1963, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017,
- 2021, 2027, 2029, 2033, 2039, 2041, 2047, 2053, 2059, 2063, 2069, 2071,
- 2077, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2117, 2119, 2129, 2131,
- 2137, 2141, 2143, 2147, 2153, 2159, 2161, 2171, 2173, 2179, 2183, 2197,
- 2201, 2203, 2207, 2209, 2213, 2221, 2227, 2231, 2237, 2239, 2243, 2249,
- 2251, 2257, 2263, 2267, 2269, 2273, 2279, 2281, 2287, 2291, 2293, 2297,
- 2309, 2311 };
-static const int prime_offset_count = 480;
-static const int prime_multiplier = 2310;
-static const int prime_multiplier_bits = 11; /* 2^|prime_multiplier_bits|
- <= |prime_multiplier| */
-static const int first_prime_index = 5;
+static int probable_prime(BIGNUM *rnd, int bits, int safe, prime_t *mods,
+ BN_CTX *ctx);
+static int probable_prime_dh(BIGNUM *rnd, int bits, int safe, prime_t *mods,
+ const BIGNUM *add, const BIGNUM *rem,
+ BN_CTX *ctx);
+static int bn_is_prime_int(const BIGNUM *w, int checks, BN_CTX *ctx,
+ int do_trial_division, BN_GENCB *cb);
+
+#define square(x) ((BN_ULONG)(x) * (BN_ULONG)(x))
+
+#if BN_BITS2 == 64
+# define BN_DEF(lo, hi) (BN_ULONG)hi<<32|lo
+#else
+# define BN_DEF(lo, hi) lo, hi
+#endif
+
+/*
+ * See SP800 89 5.3.3 (Step f)
+ * The product of the set of primes ranging from 3 to 751
+ * Generated using process in test/bn_internal_test.c test_bn_small_factors().
+ * This includes 751 (which is not currently included in SP 800-89).
+ */
+static const BN_ULONG small_prime_factors[] = {
+ BN_DEF(0x3ef4e3e1, 0xc4309333), BN_DEF(0xcd2d655f, 0x71161eb6),
+ BN_DEF(0x0bf94862, 0x95e2238c), BN_DEF(0x24f7912b, 0x3eb233d3),
+ BN_DEF(0xbf26c483, 0x6b55514b), BN_DEF(0x5a144871, 0x0a84d817),
+ BN_DEF(0x9b82210a, 0x77d12fee), BN_DEF(0x97f050b3, 0xdb5b93c2),
+ BN_DEF(0x4d6c026b, 0x4acad6b9), BN_DEF(0x54aec893, 0xeb7751f3),
+ BN_DEF(0x36bc85c4, 0xdba53368), BN_DEF(0x7f5ec78e, 0xd85a1b28),
+ BN_DEF(0x6b322244, 0x2eb072d8), BN_DEF(0x5e2b3aea, 0xbba51112),
+ BN_DEF(0x0e2486bf, 0x36ed1a6c), BN_DEF(0xec0c5727, 0x5f270460),
+ (BN_ULONG)0x000017b1
+};
+
+#define BN_SMALL_PRIME_FACTORS_TOP OSSL_NELEM(small_prime_factors)
+static const BIGNUM _bignum_small_prime_factors = {
+ (BN_ULONG *)small_prime_factors,
+ BN_SMALL_PRIME_FACTORS_TOP,
+ BN_SMALL_PRIME_FACTORS_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+};
+
+const BIGNUM *ossl_bn_get0_small_factors(void)
+{
+ return &_bignum_small_prime_factors;
+}
+
+/*
+ * Calculate the number of trial divisions that gives the best speed in
+ * combination with Miller-Rabin prime test, based on the sized of the prime.
+ */
+static int calc_trial_divisions(int bits)
+{
+ if (bits <= 512)
+ return 64;
+ else if (bits <= 1024)
+ return 128;
+ else if (bits <= 2048)
+ return 384;
+ else if (bits <= 4096)
+ return 1024;
+ return NUMPRIMES;
+}
+
+/*
+ * Use a minimum of 64 rounds of Miller-Rabin, which should give a false
+ * positive rate of 2^-128. If the size of the prime is larger than 2048
+ * the user probably wants a higher security level than 128, so switch
+ * to 128 rounds giving a false positive rate of 2^-256.
+ * Returns the number of rounds.
+ */
+static int bn_mr_min_checks(int bits)
+{
+ if (bits > 2048)
+ return 128;
+ return 64;
+}