1f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#include <tommath.h>
2f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#ifdef BN_MP_PRIME_IS_PRIME_C
3f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* LibTomMath, multiple-precision integer library -- Tom St Denis
4f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project *
5f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * LibTomMath is a library that provides multiple-precision
6f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * integer arithmetic as well as number theoretic functionality.
7f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project *
8f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * The library was designed directly after the MPI library by
9f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Michael Fromberger but has been written from scratch with
10f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * additional optimizations in place.
11f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project *
12f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * The library is free for all purposes without any express
13f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * guarantee it works.
14f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project *
15f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com
16f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */
17f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
18f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* performs a variable number of rounds of Miller-Rabin
19f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project *
20f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Probability of error after t rounds is no more than
21f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
22f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project *
23f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project * Sets result to 1 if probably prime, 0 otherwise
24f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project */
25f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Projectint mp_prime_is_prime (mp_int * a, int t, int *result)
26f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project{
27f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  mp_int  b;
28f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  int     ix, err, res;
29f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
30f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  /* default to no */
31f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  *result = MP_NO;
32f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
33f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  /* valid value of t? */
34f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  if (t <= 0 || t > PRIME_SIZE) {
35f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    return MP_VAL;
36f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  }
37f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
38f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  /* is the input equal to one of the primes in the table? */
39f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  for (ix = 0; ix < PRIME_SIZE; ix++) {
40f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project      if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) {
41f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project         *result = 1;
42f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project         return MP_OKAY;
43f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project      }
44f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  }
45f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
46f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  /* first perform trial division */
47f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) {
48f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    return err;
49f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  }
50f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
51f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  /* return if it was trivially divisible */
52f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  if (res == MP_YES) {
53f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    return MP_OKAY;
54f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  }
55f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
56f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  /* now perform the miller-rabin rounds */
57f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  if ((err = mp_init (&b)) != MP_OKAY) {
58f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    return err;
59f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  }
60f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
61f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  for (ix = 0; ix < t; ix++) {
62f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    /* set the prime */
63f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    mp_set (&b, ltm_prime_tab[ix]);
64f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
65f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) {
66f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project      goto LBL_B;
67f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    }
68f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
69f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    if (res == MP_NO) {
70f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project      goto LBL_B;
71f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project    }
72f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  }
73f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
74f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  /* passed the test */
75f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  *result = MP_YES;
76f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source ProjectLBL_B:mp_clear (&b);
77f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project  return err;
78f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project}
79f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project#endif
80f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project
81f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */
82f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* $Revision: 1.3 $ */
83f7fc46c63fdc8f39234fea409b8dbe116d73ebf8The Android Open Source Project/* $Date: 2006/03/31 14:18:44 $ */
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