annotate libtommath/bn_mp_prime_random_ex.c @ 284:eed26cff980b

propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) to branch 'au.asn.ucc.matt.dropbear' (head fff0894a0399405a9410ea1c6d118f342cf2aa64)
author Matt Johnston <matt@ucc.asn.au>
date Wed, 08 Mar 2006 13:23:49 +0000
parents
children 5ff8218bcee9
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
284
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diff changeset
1 #include <tommath.h>
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diff changeset
2 #ifdef BN_MP_PRIME_RANDOM_EX_C
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diff changeset
3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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diff changeset
4 *
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diff changeset
5 * LibTomMath is a library that provides multiple-precision
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diff changeset
6 * integer arithmetic as well as number theoretic functionality.
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diff changeset
7 *
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diff changeset
8 * The library was designed directly after the MPI library by
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diff changeset
9 * Michael Fromberger but has been written from scratch with
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diff changeset
10 * additional optimizations in place.
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diff changeset
11 *
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
12 * The library is free for all purposes without any express
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
13 * guarantee it works.
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
14 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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15 * Tom St Denis, [email protected], http://math.libtomcrypt.org
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16 */
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17
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
18 /* makes a truly random prime of a given size (bits),
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diff changeset
19 *
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
20 * Flags are as follows:
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
21 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
22 * LTM_PRIME_BBS - make prime congruent to 3 mod 4
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
23 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
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Matt Johnston <matt@ucc.asn.au>
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24 * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero
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Matt Johnston <matt@ucc.asn.au>
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25 * LTM_PRIME_2MSB_ON - make the 2nd highest bit one
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Matt Johnston <matt@ucc.asn.au>
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26 *
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
27 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
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diff changeset
28 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
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diff changeset
29 * so it can be NULL
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
30 *
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Matt Johnston <matt@ucc.asn.au>
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31 */
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32
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33 /* This is possibly the mother of all prime generation functions, muahahahahaha! */
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diff changeset
34 int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat)
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
35 {
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36 unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb;
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
37 int res, err, bsize, maskOR_msb_offset;
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38
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
39 /* sanity check the input */
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40 if (size <= 1 || t <= 0) {
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Matt Johnston <matt@ucc.asn.au>
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41 return MP_VAL;
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42 }
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43
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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44 /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */
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Matt Johnston <matt@ucc.asn.au>
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45 if (flags & LTM_PRIME_SAFE) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
46 flags |= LTM_PRIME_BBS;
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47 }
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48
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diff changeset
49 /* calc the byte size */
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diff changeset
50 bsize = (size>>3) + ((size&7)?1:0);
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51
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52 /* we need a buffer of bsize bytes */
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53 tmp = OPT_CAST(unsigned char) XMALLOC(bsize);
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54 if (tmp == NULL) {
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55 return MP_MEM;
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56 }
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57
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58 /* calc the maskAND value for the MSbyte*/
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59 maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7)));
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60
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61 /* calc the maskOR_msb */
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62 maskOR_msb = 0;
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63 maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0;
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diff changeset
64 if (flags & LTM_PRIME_2MSB_ON) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
65 maskOR_msb |= 1 << ((size - 2) & 7);
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66 } else if (flags & LTM_PRIME_2MSB_OFF) {
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Matt Johnston <matt@ucc.asn.au>
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67 maskAND &= ~(1 << ((size - 2) & 7));
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68 }
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69
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diff changeset
70 /* get the maskOR_lsb */
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71 maskOR_lsb = 1;
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72 if (flags & LTM_PRIME_BBS) {
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Matt Johnston <matt@ucc.asn.au>
parents:
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73 maskOR_lsb |= 3;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
74 }
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Matt Johnston <matt@ucc.asn.au>
parents:
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75
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
76 do {
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Matt Johnston <matt@ucc.asn.au>
parents:
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77 /* read the bytes */
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diff changeset
78 if (cb(tmp, bsize, dat) != bsize) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
79 err = MP_VAL;
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
80 goto error;
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81 }
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parents:
diff changeset
82
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
83 /* work over the MSbyte */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
84 tmp[0] &= maskAND;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
85 tmp[0] |= 1 << ((size - 1) & 7);
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
86
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
87 /* mix in the maskORs */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
88 tmp[maskOR_msb_offset] |= maskOR_msb;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
89 tmp[bsize-1] |= maskOR_lsb;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
90
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
91 /* read it in */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
92 if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94 /* is it prime? */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 if (res == MP_NO) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 continue;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
98 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
99
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
100 if (flags & LTM_PRIME_SAFE) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
101 /* see if (a-1)/2 is prime */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
102 if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
103 if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
104
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
105 /* is it prime? */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
106 if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
107 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
108 } while (res == MP_NO);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
109
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
110 if (flags & LTM_PRIME_SAFE) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
111 /* restore a to the original value */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
112 if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
113 if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
114 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
115
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
116 err = MP_OKAY;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
117 error:
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
118 XFREE(tmp);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
119 return err;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
120 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
121
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
122
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
123 #endif