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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 "internal/cryptlib.h"
60 #include "bn_lcl.h"
61
62 BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w)
63 {
64 #ifndef BN_LLONG
65 BN_ULONG ret = 0;
66 #else
67 BN_ULLONG ret = 0;
68 #endif
69 int i;
70
71 if (w == 0)
72 return (BN_ULONG)-1;
73
74 bn_check_top(a);
75 w &= BN_MASK2;
76 for (i = a->top - 1; i >= 0; i--) {
77 #ifndef BN_LLONG
78 ret = ((ret << BN_BITS4) | ((a->d[i] >> BN_BITS4) & BN_MASK2l)) % w;
79 ret = ((ret << BN_BITS4) | (a->d[i] & BN_MASK2l)) % w;
80 #else
81 ret = (BN_ULLONG) (((ret << (BN_ULLONG) BN_BITS2) | a->d[i]) %
82 (BN_ULLONG) w);
83 #endif
84 }
85 return ((BN_ULONG)ret);
86 }
87
88 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w)
89 {
90 BN_ULONG ret = 0;
91 int i, j;
92
93 bn_check_top(a);
94 w &= BN_MASK2;
95
96 if (!w)
97 /* actually this an error (division by zero) */
98 return (BN_ULONG)-1;
99 if (a->top == 0)
100 return 0;
101
102 /* normalize input (so bn_div_words doesn't complain) */
103 j = BN_BITS2 - BN_num_bits_word(w);
104 w <<= j;
105 if (!BN_lshift(a, a, j))
106 return (BN_ULONG)-1;
107
108 for (i = a->top - 1; i >= 0; i--) {
109 BN_ULONG l, d;
110
111 l = a->d[i];
112 d = bn_div_words(ret, l, w);
113 ret = (l - ((d * w) & BN_MASK2)) & BN_MASK2;
114 a->d[i] = d;
115 }
116 if ((a->top > 0) && (a->d[a->top - 1] == 0))
117 a->top--;
118 ret >>= j;
119 bn_check_top(a);
120 return (ret);
121 }
122
123 int BN_add_word(BIGNUM *a, BN_ULONG w)
124 {
125 BN_ULONG l;
126 int i;
127
128 bn_check_top(a);
129 w &= BN_MASK2;
130
131 /* degenerate case: w is zero */
132 if (!w)
133 return 1;
134 /* degenerate case: a is zero */
135 if (BN_is_zero(a))
136 return BN_set_word(a, w);
137 /* handle 'a' when negative */
138 if (a->neg) {
139 a->neg = 0;
140 i = BN_sub_word(a, w);
141 if (!BN_is_zero(a))
142 a->neg = !(a->neg);
143 return (i);
144 }
145 for (i = 0; w != 0 && i < a->top; i++) {
146 a->d[i] = l = (a->d[i] + w) & BN_MASK2;
147 w = (w > l) ? 1 : 0;
148 }
149 if (w && i == a->top) {
150 if (bn_wexpand(a, a->top + 1) == NULL)
151 return 0;
152 a->top++;
153 a->d[i] = w;
154 }
155 bn_check_top(a);
156 return (1);
157 }
158
159 int BN_sub_word(BIGNUM *a, BN_ULONG w)
160 {
161 int i;
162
163 bn_check_top(a);
164 w &= BN_MASK2;
165
166 /* degenerate case: w is zero */
167 if (!w)
168 return 1;
169 /* degenerate case: a is zero */
170 if (BN_is_zero(a)) {
171 i = BN_set_word(a, w);
172 if (i != 0)
173 BN_set_negative(a, 1);
174 return i;
175 }
176 /* handle 'a' when negative */
177 if (a->neg) {
178 a->neg = 0;
179 i = BN_add_word(a, w);
180 a->neg = 1;
181 return (i);
182 }
183
184 if ((a->top == 1) && (a->d[0] < w)) {
185 a->d[0] = w - a->d[0];
186 a->neg = 1;
187 return (1);
188 }
189 i = 0;
190 for (;;) {
191 if (a->d[i] >= w) {
192 a->d[i] -= w;
193 break;
194 } else {
195 a->d[i] = (a->d[i] - w) & BN_MASK2;
196 i++;
197 w = 1;
198 }
199 }
200 if ((a->d[i] == 0) && (i == (a->top - 1)))
201 a->top--;
202 bn_check_top(a);
203 return (1);
204 }
205
206 int BN_mul_word(BIGNUM *a, BN_ULONG w)
207 {
208 BN_ULONG ll;
209
210 bn_check_top(a);
211 w &= BN_MASK2;
212 if (a->top) {
213 if (w == 0)
214 BN_zero(a);
215 else {
216 ll = bn_mul_words(a->d, a->d, a->top, w);
217 if (ll) {
218 if (bn_wexpand(a, a->top + 1) == NULL)
219 return (0);
220 a->d[a->top++] = ll;
221 }
222 }
223 }
224 bn_check_top(a);
225 return (1);
226 }