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1 /* crypto/bn/bn_word.c */
2 /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
3 * All rights reserved.
4 *
5 * This package is an SSL implementation written
6 * by Eric Young (eay@cryptsoft.com).
7 * The implementation was written so as to conform with Netscapes SSL.
8 *
9 * This library is free for commercial and non-commercial use as long as
10 * the following conditions are aheared to. The following conditions
11 * apply to all code found in this distribution, be it the RC4, RSA,
12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
13 * included with this distribution is covered by the same copyright terms
14 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15 *
16 * Copyright remains Eric Young's, and as such any Copyright notices in
17 * the code are not to be removed.
18 * If this package is used in a product, Eric Young should be given attribution
19 * as the author of the parts of the library used.
20 * This can be in the form of a textual message at program startup or
21 * in documentation (online or textual) provided with the package.
22 *
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
25 * are met:
26 * 1. Redistributions of source code must retain the copyright
27 * notice, this list of conditions and the following disclaimer.
28 * 2. Redistributions in binary form must reproduce the above copyright
29 * notice, this list of conditions and the following disclaimer in the
30 * documentation and/or other materials provided with the distribution.
31 * 3. All advertising materials mentioning features or use of this software
32 * must display the following acknowledgement:
33 * "This product includes cryptographic software written by
34 * Eric Young (eay@cryptsoft.com)"
35 * The word 'cryptographic' can be left out if the rouines from the library
36 * being used are not cryptographic related :-).
37 * 4. If you include any Windows specific code (or a derivative thereof) from
38 * the apps directory (application code) you must include an acknowledgement:
39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
40 *
41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
51 * SUCH DAMAGE.
52 *
53 * The licence and distribution terms for any publically available version or
54 * derivative of this code cannot be changed. i.e. this code cannot simply be
55 * copied and put under another distribution licence
56 * [including the GNU Public Licence.]
57 */
58
59 #include <stdio.h>
60 #include "cryptlib.h"
61 #include "bn_lcl.h"
62
63 BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w)
64 {
65 #ifndef BN_LLONG
66 BN_ULONG ret = 0;
67 #else
68 BN_ULLONG ret = 0;
69 #endif
70 int i;
71
72 if (w == 0)
73 return (BN_ULONG)-1;
74
75 #ifndef BN_LLONG
76 /*
77 * If |w| is too long and we don't have BN_ULLONG then we need to fall
78 * back to using BN_div_word
79 */
80 if (w > ((BN_ULONG)1 << BN_BITS4)) {
81 BIGNUM *tmp = BN_dup(a);
82 if (tmp == NULL)
83 return (BN_ULONG)-1;
84
85 ret = BN_div_word(tmp, w);
86 BN_free(tmp);
87
88 return ret;
89 }
90 #endif
91
92 bn_check_top(a);
93 w &= BN_MASK2;
94 for (i = a->top - 1; i >= 0; i--) {
95 #ifndef BN_LLONG
96 /*
97 * We can assume here that | w <= ((BN_ULONG)1 << BN_BITS4) | and so
98 * | ret < ((BN_ULONG)1 << BN_BITS4) | and therefore the shifts here are
99 * safe and will not overflow
100 */
101 ret = ((ret << BN_BITS4) | ((a->d[i] >> BN_BITS4) & BN_MASK2l)) % w;
102 ret = ((ret << BN_BITS4) | (a->d[i] & BN_MASK2l)) % w;
103 #else
104 ret = (BN_ULLONG) (((ret << (BN_ULLONG) BN_BITS2) | a->d[i]) %
105 (BN_ULLONG) w);
106 #endif
107 }
108 return ((BN_ULONG)ret);
109 }
110
111 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w)
112 {
113 BN_ULONG ret = 0;
114 int i, j;
115
116 bn_check_top(a);
117 w &= BN_MASK2;
118
119 if (!w)
120 /* actually this an error (division by zero) */
121 return (BN_ULONG)-1;
122 if (a->top == 0)
123 return 0;
124
125 /* normalize input (so bn_div_words doesn't complain) */
126 j = BN_BITS2 - BN_num_bits_word(w);
127 w <<= j;
128 if (!BN_lshift(a, a, j))
129 return (BN_ULONG)-1;
130
131 for (i = a->top - 1; i >= 0; i--) {
132 BN_ULONG l, d;
133
134 l = a->d[i];
135 d = bn_div_words(ret, l, w);
136 ret = (l - ((d * w) & BN_MASK2)) & BN_MASK2;
137 a->d[i] = d;
138 }
139 if ((a->top > 0) && (a->d[a->top - 1] == 0))
140 a->top--;
141 ret >>= j;
142 bn_check_top(a);
143 return (ret);
144 }
145
146 int BN_add_word(BIGNUM *a, BN_ULONG w)
147 {
148 BN_ULONG l;
149 int i;
150
151 bn_check_top(a);
152 w &= BN_MASK2;
153
154 /* degenerate case: w is zero */
155 if (!w)
156 return 1;
157 /* degenerate case: a is zero */
158 if (BN_is_zero(a))
159 return BN_set_word(a, w);
160 /* handle 'a' when negative */
161 if (a->neg) {
162 a->neg = 0;
163 i = BN_sub_word(a, w);
164 if (!BN_is_zero(a))
165 a->neg = !(a->neg);
166 return (i);
167 }
168 for (i = 0; w != 0 && i < a->top; i++) {
169 a->d[i] = l = (a->d[i] + w) & BN_MASK2;
170 w = (w > l) ? 1 : 0;
171 }
172 if (w && i == a->top) {
173 if (bn_wexpand(a, a->top + 1) == NULL)
174 return 0;
175 a->top++;
176 a->d[i] = w;
177 }
178 bn_check_top(a);
179 return (1);
180 }
181
182 int BN_sub_word(BIGNUM *a, BN_ULONG w)
183 {
184 int i;
185
186 bn_check_top(a);
187 w &= BN_MASK2;
188
189 /* degenerate case: w is zero */
190 if (!w)
191 return 1;
192 /* degenerate case: a is zero */
193 if (BN_is_zero(a)) {
194 i = BN_set_word(a, w);
195 if (i != 0)
196 BN_set_negative(a, 1);
197 return i;
198 }
199 /* handle 'a' when negative */
200 if (a->neg) {
201 a->neg = 0;
202 i = BN_add_word(a, w);
203 a->neg = 1;
204 return (i);
205 }
206
207 if ((a->top == 1) && (a->d[0] < w)) {
208 a->d[0] = w - a->d[0];
209 a->neg = 1;
210 return (1);
211 }
212 i = 0;
213 for (;;) {
214 if (a->d[i] >= w) {
215 a->d[i] -= w;
216 break;
217 } else {
218 a->d[i] = (a->d[i] - w) & BN_MASK2;
219 i++;
220 w = 1;
221 }
222 }
223 if ((a->d[i] == 0) && (i == (a->top - 1)))
224 a->top--;
225 bn_check_top(a);
226 return (1);
227 }
228
229 int BN_mul_word(BIGNUM *a, BN_ULONG w)
230 {
231 BN_ULONG ll;
232
233 bn_check_top(a);
234 w &= BN_MASK2;
235 if (a->top) {
236 if (w == 0)
237 BN_zero(a);
238 else {
239 ll = bn_mul_words(a->d, a->d, a->top, w);
240 if (ll) {
241 if (bn_wexpand(a, a->top + 1) == NULL)
242 return (0);
243 a->d[a->top++] = ll;
244 }
245 }
246 }
247 bn_check_top(a);
248 return (1);
249 }