diff options
Diffstat (limited to 'source4/heimdal/lib/hcrypto/imath/iprime.c')
| -rwxr-xr-x | source4/heimdal/lib/hcrypto/imath/iprime.c | 186 |
1 files changed, 186 insertions, 0 deletions
diff --git a/source4/heimdal/lib/hcrypto/imath/iprime.c b/source4/heimdal/lib/hcrypto/imath/iprime.c new file mode 100755 index 0000000000..6313bab1b7 --- /dev/null +++ b/source4/heimdal/lib/hcrypto/imath/iprime.c @@ -0,0 +1,186 @@ +/* + Name: iprime.c + Purpose: Pseudoprimality testing routines + Author: M. J. Fromberger <http://www.dartmouth.edu/~sting/> + Info: $Id: iprime.c 19737 2007-01-05 21:01:48Z lha $ + + Copyright (C) 2002 Michael J. Fromberger, All Rights Reserved. + + Permission is hereby granted, free of charge, to any person + obtaining a copy of this software and associated documentation files + (the "Software"), to deal in the Software without restriction, + including without limitation the rights to use, copy, modify, merge, + publish, distribute, sublicense, and/or sell copies of the Software, + and to permit persons to whom the Software is furnished to do so, + subject to the following conditions: + + The above copyright notice and this permission notice shall be + included in all copies or substantial portions of the Software. + + THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, + EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND + NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS + BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN + ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN + CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + SOFTWARE. + */ + +#include "iprime.h" +#include <stdlib.h> + +static const int s_ptab[] = { + 3, 5, 7, 11, 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, 173, 179, 181, 191, 193, 197, 199, + 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, + 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, + 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, + 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, + 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, + 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, + 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, + 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, + 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, + 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, + 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, + 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, + 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, + 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, + 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, + 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, + 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, + 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, + 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, + 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, + 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, + 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, + 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, + 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, + 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, + 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, + 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, + 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, + 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, + 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, + 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, + 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, + 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, + 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, + 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, + 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, + 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, + 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, + 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, + 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, + 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, + 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, + 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, + 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, + 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, + 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, + 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, + 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, + 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, + 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, + 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, + 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, + 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, + 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, + 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, + 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, + 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, + 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, + 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, + 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, + 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, + 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, + 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, + 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, + 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, + 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, + 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, + 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, + 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, + 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, + 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, + 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, + 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, + 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, + 4957, 4967, 4969, 4973, 4987, 4993, 4999 +}; +static const int s_ptab_size = sizeof(s_ptab)/sizeof(s_ptab[0]); + + +/* {{{ mp_int_is_prime(z) */ + +/* Test whether z is likely to be prime: + MP_TRUE means it is probably prime + MP_FALSE means it is definitely composite + */ +mp_result mp_int_is_prime(mp_int z) +{ + int i, rem; + mp_result res; + + /* First check for divisibility by small primes; this eliminates a + large number of composite candidates quickly + */ + for(i = 0; i < s_ptab_size; ++i) { + if((res = mp_int_div_value(z, s_ptab[i], NULL, &rem)) != MP_OK) + return res; + + if(rem == 0) + return MP_FALSE; + } + + /* Now try Fermat's test for several prime witnesses (since we now + know from the above that z is not a multiple of any of them) + */ + { + mpz_t tmp; + + if((res = mp_int_init(&tmp)) != MP_OK) return res; + + for(i = 0; i < 10 && i < s_ptab_size; ++i) { + if((res = mp_int_exptmod_bvalue(s_ptab[i], z, z, &tmp)) != MP_OK) + return res; + + if(mp_int_compare_value(&tmp, s_ptab[i]) != 0) { + mp_int_clear(&tmp); + return MP_FALSE; + } + } + + mp_int_clear(&tmp); + } + + return MP_TRUE; +} + +/* }}} */ + +/* {{{ mp_int_find_prime(z) */ + +/* Find the first apparent prime in ascending order from z */ +mp_result mp_int_find_prime(mp_int z) +{ + mp_result res; + + if(mp_int_is_even(z) && ((res = mp_int_add_value(z, 1, z)) != MP_OK)) + return res; + + while((res = mp_int_is_prime(z)) == MP_FALSE) { + if((res = mp_int_add_value(z, 2, z)) != MP_OK) + break; + + } + + return res; +} + +/* }}} */ + +/* Here there be dragons */ |