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7e8dec91 DK |
1 | /* mpi-mpow.c - MPI functions |
2 | * Copyright (C) 1998, 1999, 2000 Free Software Foundation, Inc. | |
3 | * | |
4 | * This file is part of GnuPG. | |
5 | * | |
6 | * GnuPG is free software; you can redistribute it and/or modify | |
7 | * it under the terms of the GNU General Public License as published by | |
8 | * the Free Software Foundation; either version 2 of the License, or | |
9 | * (at your option) any later version. | |
10 | * | |
11 | * GnuPG is distributed in the hope that it will be useful, | |
12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
14 | * GNU General Public License for more details. | |
15 | * | |
16 | * You should have received a copy of the GNU General Public License | |
17 | * along with this program; if not, write to the Free Software | |
18 | * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA | |
19 | */ | |
20 | ||
21 | #include "mpi-internal.h" | |
22 | #include "longlong.h" | |
23 | ||
24 | static int build_index(const MPI *exparray, int k, int i, int t) | |
25 | { | |
26 | int j, bitno; | |
27 | int index = 0; | |
28 | ||
29 | bitno = t - i; | |
30 | for (j = k - 1; j >= 0; j--) { | |
31 | index <<= 1; | |
32 | if (mpi_test_bit(exparray[j], bitno)) | |
33 | index |= 1; | |
34 | } | |
35 | return index; | |
36 | } | |
37 | ||
38 | /**************** | |
39 | * RES = (BASE[0] ^ EXP[0]) * (BASE[1] ^ EXP[1]) * ... * mod M | |
40 | */ | |
41 | int mpi_mulpowm(MPI res, MPI *basearray, MPI *exparray, MPI m) | |
42 | { | |
43 | int rc = -ENOMEM; | |
44 | int k; /* number of elements */ | |
45 | int t; /* bit size of largest exponent */ | |
46 | int i, j, idx; | |
47 | MPI *G = NULL; /* table with precomputed values of size 2^k */ | |
48 | MPI tmp = NULL; | |
49 | ||
50 | for (k = 0; basearray[k]; k++) | |
51 | ; | |
52 | if (!k) { | |
53 | pr_emerg("mpi_mulpowm: assert(k) failed\n"); | |
54 | BUG(); | |
55 | } | |
56 | for (t = 0, i = 0; (tmp = exparray[i]); i++) { | |
57 | j = mpi_get_nbits(tmp); | |
58 | if (j > t) | |
59 | t = j; | |
60 | } | |
61 | if (i != k) { | |
62 | pr_emerg("mpi_mulpowm: assert(i==k) failed\n"); | |
63 | BUG(); | |
64 | } | |
65 | if (!t) { | |
66 | pr_emerg("mpi_mulpowm: assert(t) failed\n"); | |
67 | BUG(); | |
68 | } | |
69 | if (k >= 10) { | |
70 | pr_emerg("mpi_mulpowm: assert(k<10) failed\n"); | |
71 | BUG(); | |
72 | } | |
73 | ||
74 | G = kzalloc((1 << k) * sizeof *G, GFP_KERNEL); | |
75 | if (!G) | |
fe0e94c5 | 76 | goto err_out; |
7e8dec91 DK |
77 | |
78 | /* and calculate */ | |
79 | tmp = mpi_alloc(mpi_get_nlimbs(m) + 1); | |
80 | if (!tmp) | |
81 | goto nomem; | |
82 | if (mpi_set_ui(res, 1) < 0) | |
83 | goto nomem; | |
84 | for (i = 1; i <= t; i++) { | |
85 | if (mpi_mulm(tmp, res, res, m) < 0) | |
86 | goto nomem; | |
87 | idx = build_index(exparray, k, i, t); | |
88 | if (!(idx >= 0 && idx < (1 << k))) { | |
89 | pr_emerg("mpi_mulpowm: assert(idx >= 0 && idx < (1<<k)) failed\n"); | |
90 | BUG(); | |
91 | } | |
92 | if (!G[idx]) { | |
93 | if (!idx) { | |
94 | G[0] = mpi_alloc_set_ui(1); | |
95 | if (!G[0]) | |
96 | goto nomem; | |
97 | } else { | |
98 | for (j = 0; j < k; j++) { | |
99 | if ((idx & (1 << j))) { | |
100 | if (!G[idx]) { | |
101 | if (mpi_copy | |
102 | (&G[idx], | |
103 | basearray[j]) < 0) | |
104 | goto nomem; | |
105 | } else { | |
106 | if (mpi_mulm | |
107 | (G[idx], G[idx], | |
108 | basearray[j], | |
109 | m) < 0) | |
110 | goto nomem; | |
111 | } | |
112 | } | |
113 | } | |
114 | if (!G[idx]) { | |
115 | G[idx] = mpi_alloc(0); | |
116 | if (!G[idx]) | |
117 | goto nomem; | |
118 | } | |
119 | } | |
120 | } | |
121 | if (mpi_mulm(res, tmp, G[idx], m) < 0) | |
122 | goto nomem; | |
123 | } | |
124 | ||
125 | rc = 0; | |
126 | nomem: | |
127 | /* cleanup */ | |
128 | mpi_free(tmp); | |
129 | for (i = 0; i < (1 << k); i++) | |
130 | mpi_free(G[i]); | |
131 | kfree(G); | |
fe0e94c5 | 132 | err_out: |
7e8dec91 DK |
133 | return rc; |
134 | } |