Mercurial > dropbear

annotate libtommath/bn_mp_gcd.c @ 362:1c7bf9cec6c8 channel-fix

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Rearranged some more bits, marked some areas that need work. * send_msg_channel_data() no longer allocates a separate buffer * getchannel() handles unknown channels so callers don't have to
author Matt Johnston <matt@ucc.asn.au>
date Mon, 02 Oct 2006 16:34:06 +0000
parents eed26cff980b
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_GCD_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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Matt Johnston <matt@ucc.asn.au>
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diff changeset
14 *
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diff changeset
15 * Tom St Denis, [email protected], http://math.libtomcrypt.org
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16 */
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diff changeset
17
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
18 /* Greatest Common Divisor using the binary method */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
19 int mp_gcd (mp_int * a, mp_int * b, mp_int * c)
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parents:
diff changeset
20 {
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diff changeset
21 mp_int u, v;
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diff changeset
22 int k, u_lsb, v_lsb, res;
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23
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
24 /* either zero than gcd is the largest */
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diff changeset
25 if (mp_iszero (a) == 1 && mp_iszero (b) == 0) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
26 return mp_abs (b, c);
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27 }
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diff changeset
28 if (mp_iszero (a) == 0 && mp_iszero (b) == 1) {
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diff changeset
29 return mp_abs (a, c);
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Matt Johnston <matt@ucc.asn.au>
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30 }
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31
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
32 /* optimized. At this point if a == 0 then
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33 * b must equal zero too
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34 */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
35 if (mp_iszero (a) == 1) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
36 mp_zero(c);
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Matt Johnston <matt@ucc.asn.au>
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37 return MP_OKAY;
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38 }
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Matt Johnston <matt@ucc.asn.au>
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39
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
40 /* get copies of a and b we can modify */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
41 if ((res = mp_init_copy (&u, a)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
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42 return res;
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43 }
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Matt Johnston <matt@ucc.asn.au>
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44
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
45 if ((res = mp_init_copy (&v, b)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
46 goto LBL_U;
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Matt Johnston <matt@ucc.asn.au>
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47 }
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
48
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diff changeset
49 /* must be positive for the remainder of the algorithm */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
50 u.sign = v.sign = MP_ZPOS;
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diff changeset
51
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
52 /* B1. Find the common power of two for u and v */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
53 u_lsb = mp_cnt_lsb(&u);
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
54 v_lsb = mp_cnt_lsb(&v);
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parents:
diff changeset
55 k = MIN(u_lsb, v_lsb);
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parents:
diff changeset
56
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
57 if (k > 0) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
58 /* divide the power of two out */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
59 if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
60 goto LBL_V;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
61 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
62
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
63 if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
64 goto LBL_V;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
65 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
66 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
67
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
68 /* divide any remaining factors of two out */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
69 if (u_lsb != k) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
70 if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
71 goto LBL_V;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
72 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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 (v_lsb != k) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
76 if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
77 goto LBL_V;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
78 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
79 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
80
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
81 while (mp_iszero(&v) == 0) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
82 /* make sure v is the largest */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
83 if (mp_cmp_mag(&u, &v) == MP_GT) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
84 /* swap u and v to make sure v is >= u */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
85 mp_exch(&u, &v);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
88 /* subtract smallest from largest */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
89 if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
90 goto LBL_V;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
91 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
92
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93 /* Divide out all factors of two */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94 if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 goto LBL_V;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 }
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 /* multiply by 2**k which we divided out at the beginning */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
100 if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
101 goto LBL_V;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
102 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
103 c->sign = MP_ZPOS;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
104 res = MP_OKAY;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
105 LBL_V:mp_clear (&u);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
106 LBL_U:mp_clear (&v);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
107 return res;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
108 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
109 #endif