annotate libtommath/bn_mp_reduce.c @ 994:5c5ade336926

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_REDUCE_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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diff changeset
12 * The library is free for all purposes without any express
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diff changeset
13 * guarantee it works.
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diff changeset
14 *
389
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parents: 284
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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diff changeset
18 /* reduces x mod m, assumes 0 < x < m**2, mu is
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diff changeset
19 * precomputed via mp_reduce_setup.
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diff changeset
20 * From HAC pp.604 Algorithm 14.42
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diff changeset
21 */
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diff changeset
22 int mp_reduce (mp_int * x, mp_int * m, mp_int * mu)
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diff changeset
23 {
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diff changeset
24 mp_int q;
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diff changeset
25 int res, um = m->used;
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26
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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diff changeset
27 /* q = x */
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28 if ((res = mp_init_copy (&q, x)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
29 return res;
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30 }
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Matt Johnston <matt@ucc.asn.au>
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31
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
32 /* q1 = x / b**(k-1) */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
33 mp_rshd (&q, um - 1);
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Matt Johnston <matt@ucc.asn.au>
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34
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
35 /* according to HAC this optimization is ok */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
36 if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
37 if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
38 goto CLEANUP;
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diff changeset
39 }
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Matt Johnston <matt@ucc.asn.au>
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40 } else {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
41 #ifdef BN_S_MP_MUL_HIGH_DIGS_C
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diff changeset
42 if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
43 goto CLEANUP;
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44 }
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45 #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C)
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diff changeset
46 if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
47 goto CLEANUP;
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48 }
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diff changeset
49 #else
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diff changeset
50 {
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diff changeset
51 res = MP_VAL;
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diff changeset
52 goto CLEANUP;
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diff changeset
53 }
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diff changeset
54 #endif
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diff changeset
55 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
56
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
57 /* q3 = q2 / b**(k+1) */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
58 mp_rshd (&q, um + 1);
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
59
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
60 /* x = x mod b**(k+1), quick (no division) */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
61 if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
62 goto CLEANUP;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
63 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
64
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
65 /* q = q * m mod b**(k+1), quick (no division) */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
66 if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
67 goto CLEANUP;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
68 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
69
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
70 /* x = x - q */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
71 if ((res = mp_sub (x, &q, x)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
72 goto CLEANUP;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
73 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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 /* If x < 0, add b**(k+1) to it */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
76 if (mp_cmp_d (x, 0) == MP_LT) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
77 mp_set (&q, 1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
78 if ((res = mp_lshd (&q, um + 1)) != 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 CLEANUP;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
80 if ((res = mp_add (x, &q, x)) != 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 CLEANUP;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
84 /* Back off if it's too big */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
85 while (mp_cmp (x, m) != MP_LT) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
86 if ((res = s_mp_sub (x, m, x)) != 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 CLEANUP;
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 }
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 CLEANUP:
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
92 mp_clear (&q);
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 return res;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
97
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
98 /* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
99 /* $Revision: 1.3 $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
100 /* $Date: 2006/03/31 14:18:44 $ */