summaryrefslogtreecommitdiffstats
path: root/libtommath/bn_mp_prime_is_prime.c
blob: 453a91db1bfbd5d0bd0fff1eed49c8bb8a7d1c41 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
#include <tommath.h>
#ifdef BN_MP_PRIME_IS_PRIME_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis
 *
 * LibTomMath is a library that provides multiple-precision
 * integer arithmetic as well as number theoretic functionality.
 *
 * The library was designed directly after the MPI library by
 * Michael Fromberger but has been written from scratch with
 * additional optimizations in place.
 *
 * The library is free for all purposes without any express
 * guarantee it works.
 *
 * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
 */

/* performs a variable number of rounds of Miller-Rabin
 *
 * Probability of error after t rounds is no more than

 *
 * Sets result to 1 if probably prime, 0 otherwise
 */
int mp_prime_is_prime(mp_int * a, int t, int *result)
{
	mp_int b;
	int ix, err, res;

	/* default to no */
	*result = MP_NO;

	/* valid value of t? */
	if (t <= 0 || t > PRIME_SIZE) {
		return MP_VAL;
	}

	/* is the input equal to one of the primes in the table? */
	for (ix = 0; ix < PRIME_SIZE; ix++) {
		if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) {
			*result = 1;
			return MP_OKAY;
		}
	}

	/* first perform trial division */
	if ((err = mp_prime_is_divisible(a, &res)) != MP_OKAY) {
		return err;
	}

	/* return if it was trivially divisible */
	if (res == MP_YES) {
		return MP_OKAY;
	}

	/* now perform the miller-rabin rounds */
	if ((err = mp_init(&b)) != MP_OKAY) {
		return err;
	}

	for (ix = 0; ix < t; ix++) {
		/* set the prime */
		mp_set(&b, ltm_prime_tab[ix]);

		if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
			goto LBL_B;
		}

		if (res == MP_NO) {
			goto LBL_B;
		}
	}

	/* passed the test */
	*result = MP_YES;
LBL_B:	mp_clear(&b);
	return err;
}
#endif

/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */
/* $Revision: 1.4 $ */
/* $Date: 2006/12/28 01:25:13 $ */