Mercurial > dropbear

annotate libtommath/bn_mp_karatsuba_sqr.c @ 994:5c5ade336926

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Prefer stronger algorithms in algorithm negotiation. Prefer diffie-hellman-group14-sha1 (2048 bit) over diffie-hellman-group1-sha1 (1024 bit). Due to meet-in-the-middle attacks the effective key length of three key 3DES is 112 bits. AES is stronger and faster then 3DES. Prefer to delay the start of compression until after authentication has completed. This avoids exposing compression code to attacks from unauthenticated users. (github pull request #9)
author Fedor Brunner <fedor.brunner@azet.sk>
date Fri, 23 Jan 2015 23:00:25 +0800
parents 5ff8218bcee9
children 60fc6476e044
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_KARATSUBA_SQR_C
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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4 *
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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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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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10 * additional optimizations in place.
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diff changeset
11 *
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diff changeset
12 * The library is free for all purposes without any express
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13 * guarantee it works.
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14 *
389
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diff changeset
15 * Tom St Denis, [email protected], http://math.libtomcrypt.com
284
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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 /* Karatsuba squaring, computes b = a*a using three
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diff changeset
19 * half size squarings
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diff changeset
20 *
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diff changeset
21 * See comments of karatsuba_mul for details. It
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diff changeset
22 * is essentially the same algorithm but merely
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diff changeset
23 * tuned to perform recursive squarings.
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Matt Johnston <matt@ucc.asn.au>
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24 */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
25 int mp_karatsuba_sqr (mp_int * a, mp_int * b)
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
26 {
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diff changeset
27 mp_int x0, x1, t1, t2, x0x0, x1x1;
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diff changeset
28 int B, err;
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29
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
30 err = MP_MEM;
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31
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32 /* min # of digits */
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diff changeset
33 B = a->used;
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34
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Matt Johnston <matt@ucc.asn.au>
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35 /* now divide in two */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
36 B = B >> 1;
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37
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
38 /* init copy all the temps */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
39 if (mp_init_size (&x0, B) != MP_OKAY)
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Matt Johnston <matt@ucc.asn.au>
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40 goto ERR;
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41 if (mp_init_size (&x1, a->used - B) != MP_OKAY)
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Matt Johnston <matt@ucc.asn.au>
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42 goto X0;
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43
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44 /* init temps */
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45 if (mp_init_size (&t1, a->used * 2) != MP_OKAY)
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
46 goto X1;
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47 if (mp_init_size (&t2, a->used * 2) != MP_OKAY)
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48 goto T1;
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49 if (mp_init_size (&x0x0, B * 2) != MP_OKAY)
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50 goto T2;
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Matt Johnston <matt@ucc.asn.au>
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51 if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY)
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52 goto X0X0;
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53
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54 {
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diff changeset
55 register int x;
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56 register mp_digit *dst, *src;
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57
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diff changeset
58 src = a->dp;
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59
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diff changeset
60 /* now shift the digits */
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diff changeset
61 dst = x0.dp;
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diff changeset
62 for (x = 0; x < B; x++) {
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diff changeset
63 *dst++ = *src++;
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parents:
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64 }
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parents:
diff changeset
65
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
66 dst = x1.dp;
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parents:
diff changeset
67 for (x = B; x < a->used; x++) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
68 *dst++ = *src++;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
69 }
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Matt Johnston <matt@ucc.asn.au>
parents:
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70 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
71
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
72 x0.used = B;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
73 x1.used = a->used - B;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
74
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
75 mp_clamp (&x0);
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
76
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
77 /* now calc the products x0*x0 and x1*x1 */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
78 if (mp_sqr (&x0, &x0x0) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
79 goto X1X1; /* x0x0 = x0*x0 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
80 if (mp_sqr (&x1, &x1x1) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
81 goto X1X1; /* x1x1 = x1*x1 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
82
389
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Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
83 /* now calc (x1+x0)**2 */
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Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
84 if (s_mp_add (&x1, &x0, &t1) != MP_OKAY)
284
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
85 goto X1X1; /* t1 = x1 - x0 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
86 if (mp_sqr (&t1, &t1) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
87 goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
88
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
89 /* add x0y0 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
90 if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
91 goto X1X1; /* t2 = x0x0 + x1x1 */
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
92 if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY)
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
93 goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 /* shift by B */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 if (mp_lshd (&t1, B) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
98 if (mp_lshd (&x1x1, B * 2) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
99 goto X1X1; /* x1x1 = x1x1 << 2*B */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
100
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
101 if (mp_add (&x0x0, &t1, &t1) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
102 goto X1X1; /* t1 = x0x0 + t1 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
103 if (mp_add (&t1, &x1x1, b) != MP_OKAY)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
104 goto X1X1; /* t1 = x0x0 + t1 + x1x1 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
105
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
106 err = MP_OKAY;
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 X1X1:mp_clear (&x1x1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
109 X0X0:mp_clear (&x0x0);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
110 T2:mp_clear (&t2);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
111 T1:mp_clear (&t1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
112 X1:mp_clear (&x1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
113 X0:mp_clear (&x0);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
114 ERR:
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
115 return err;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
116 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
117 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
118
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
119 /* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
120 /* $Revision: 1.5 $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
121 /* $Date: 2006/03/31 14:18:44 $ */