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authorAndrew Bartlett <abartlet@samba.org>2007-06-13 05:44:24 +0000
committerGerald (Jerry) Carter <jerry@samba.org>2007-10-10 14:53:18 -0500
commit91adebe749beb0dc23cacaea316cb2b724776aad (patch)
tree133d480f5b23b99fcf1149861136103dc4525cb1 /source4/heimdal/lib/hcrypto/imath/iprime.c
parentf7110d928afd61cee203d07fd85968af993a327f (diff)
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r23456: Update Samba4 to current lorikeet-heimdal.
Andrew Bartlett (This used to be commit ae0f81ab235c72cceb120bcdeb051a483cf3cc4f)
Diffstat (limited to 'source4/heimdal/lib/hcrypto/imath/iprime.c')
-rwxr-xr-xsource4/heimdal/lib/hcrypto/imath/iprime.c186
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 */