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1/* crypto/bn/bn_add.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/* r can == a or b */
64int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
65 {
66 const BIGNUM *tmp;
67 int a_neg = a->neg;
68
69 bn_check_top(a);
70 bn_check_top(b);
71
72 /* a + b a+b
73 * a + -b a-b
74 * -a + b b-a
75 * -a + -b -(a+b)
76 */
77 if (a_neg ^ b->neg)
78 {
79 /* only one is negative */
80 if (a_neg)
81 { tmp=a; a=b; b=tmp; }
82
83 /* we are now a - b */
84
85 if (BN_ucmp(a,b) < 0)
86 {
87 if (!BN_usub(r,b,a)) return(0);
88 r->neg=1;
89 }
90 else
91 {
92 if (!BN_usub(r,a,b)) return(0);
93 r->neg=0;
94 }
95 return(1);
96 }
97
98 if (!BN_uadd(r,a,b)) return(0);
99 if (a_neg) /* both are neg */
100 r->neg=1;
101 else
102 r->neg=0;
103 return(1);
104 }
105
106/* unsigned add of b to a, r must be large enough */
107int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
108 {
109 register int i;
110 int max,min;
111 BN_ULONG *ap,*bp,*rp,carry,t1;
112 const BIGNUM *tmp;
113
114 bn_check_top(a);
115 bn_check_top(b);
116
117 if (a->top < b->top)
118 { tmp=a; a=b; b=tmp; }
119 max=a->top;
120 min=b->top;
121
122 if (bn_wexpand(r,max+1) == NULL)
123 return(0);
124
125 r->top=max;
126
127
128 ap=a->d;
129 bp=b->d;
130 rp=r->d;
131 carry=0;
132
133 carry=bn_add_words(rp,ap,bp,min);
134 rp+=min;
135 ap+=min;
136 bp+=min;
137 i=min;
138
139 if (carry)
140 {
141 while (i < max)
142 {
143 i++;
144 t1= *(ap++);
145 if ((*(rp++)=(t1+1)&BN_MASK2) >= t1)
146 {
147 carry=0;
148 break;
149 }
150 }
151 if ((i >= max) && carry)
152 {
153 *(rp++)=1;
154 r->top++;
155 }
156 }
157 if (rp != ap)
158 {
159 for (; i<max; i++)
160 *(rp++)= *(ap++);
161 }
162 /* memcpy(rp,ap,sizeof(*ap)*(max-i));*/
163 r->neg = 0;
164 return(1);
165 }
166
167/* unsigned subtraction of b from a, a must be larger than b. */
168int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
169 {
170 int max,min;
171 register BN_ULONG t1,t2,*ap,*bp,*rp;
172 int i,carry;
173#if defined(IRIX_CC_BUG) && !defined(LINT)
174 int dummy;
175#endif
176
177 bn_check_top(a);
178 bn_check_top(b);
179
180 if (a->top < b->top) /* hmm... should not be happening */
181 {
182 BNerr(BN_F_BN_USUB,BN_R_ARG2_LT_ARG3);
183 return(0);
184 }
185
186 max=a->top;
187 min=b->top;
188 if (bn_wexpand(r,max) == NULL) return(0);
189
190 ap=a->d;
191 bp=b->d;
192 rp=r->d;
193
194#if 1
195 carry=0;
196 for (i=0; i<min; i++)
197 {
198 t1= *(ap++);
199 t2= *(bp++);
200 if (carry)
201 {
202 carry=(t1 <= t2);
203 t1=(t1-t2-1)&BN_MASK2;
204 }
205 else
206 {
207 carry=(t1 < t2);
208 t1=(t1-t2)&BN_MASK2;
209 }
210#if defined(IRIX_CC_BUG) && !defined(LINT)
211 dummy=t1;
212#endif
213 *(rp++)=t1&BN_MASK2;
214 }
215#else
216 carry=bn_sub_words(rp,ap,bp,min);
217 ap+=min;
218 bp+=min;
219 rp+=min;
220 i=min;
221#endif
222 if (carry) /* subtracted */
223 {
224 while (i < max)
225 {
226 i++;
227 t1= *(ap++);
228 t2=(t1-1)&BN_MASK2;
229 *(rp++)=t2;
230 if (t1 > t2) break;
231 }
232 }
233#if 0
234 memcpy(rp,ap,sizeof(*rp)*(max-i));
235#else
236 if (rp != ap)
237 {
238 for (;;)
239 {
240 if (i++ >= max) break;
241 rp[0]=ap[0];
242 if (i++ >= max) break;
243 rp[1]=ap[1];
244 if (i++ >= max) break;
245 rp[2]=ap[2];
246 if (i++ >= max) break;
247 rp[3]=ap[3];
248 rp+=4;
249 ap+=4;
250 }
251 }
252#endif
253
254 r->top=max;
255 r->neg=0;
256 bn_fix_top(r);
257 return(1);
258 }
259
260int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
261 {
262 int max;
263 int add=0,neg=0;
264 const BIGNUM *tmp;
265
266 bn_check_top(a);
267 bn_check_top(b);
268
269 /* a - b a-b
270 * a - -b a+b
271 * -a - b -(a+b)
272 * -a - -b b-a
273 */
274 if (a->neg)
275 {
276 if (b->neg)
277 { tmp=a; a=b; b=tmp; }
278 else
279 { add=1; neg=1; }
280 }
281 else
282 {
283 if (b->neg) { add=1; neg=0; }
284 }
285
286 if (add)
287 {
288 if (!BN_uadd(r,a,b)) return(0);
289 r->neg=neg;
290 return(1);
291 }
292
293 /* We are actually doing a - b :-) */
294
295 max=(a->top > b->top)?a->top:b->top;
296 if (bn_wexpand(r,max) == NULL) return(0);
297 if (BN_ucmp(a,b) < 0)
298 {
299 if (!BN_usub(r,b,a)) return(0);
300 r->neg=1;
301 }
302 else
303 {
304 if (!BN_usub(r,a,b)) return(0);
305 r->neg=0;
306 }
307 return(1);
308 }
309
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