Mercurial > dropbear

annotate libtommath/bn_mp_reduce.c @ 588:a55b97f5a485

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Fix bug in primality testing, see http://bugs.gentoo.org/show_bug.cgi?id=328383 http://bugs.gentoo.org/show_bug.cgi?id=328409 https://bugzilla.redhat.com/show_bug.cgi?id=615088 Exact effects of the bug are uncertain.
author Matt Johnston <matt@ucc.asn.au>
date Wed, 21 Jul 2010 13:33:07 +0000
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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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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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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19 * precomputed via mp_reduce_setup.
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20 * From HAC pp.604 Algorithm 14.42
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21 */
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parents:
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
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27 /* q = x */
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28 if ((res = mp_init_copy (&q, x)) != MP_OKAY) {
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29 return res;
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30 }
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31
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32 /* q1 = x / b**(k-1) */
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33 mp_rshd (&q, um - 1);
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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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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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39 }
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40 } else {
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diff changeset
41 #ifdef BN_S_MP_MUL_HIGH_DIGS_C
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42 if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
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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>
parents:
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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parents:
diff changeset
51 res = MP_VAL;
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parents:
diff changeset
52 goto CLEANUP;
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parents:
diff changeset
53 }
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parents:
diff changeset
54 #endif
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parents:
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
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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);
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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 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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 $ */