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58964a49 1/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
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2 * All rights reserved.
3 *
4 * This package is an SSL implementation written
5 * by Eric Young (eay@cryptsoft.com).
6 * The implementation was written so as to conform with Netscapes SSL.
0f113f3e 7 *
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8 * This library is free for commercial and non-commercial use as long as
9 * the following conditions are aheared to. The following conditions
10 * apply to all code found in this distribution, be it the RC4, RSA,
11 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
12 * included with this distribution is covered by the same copyright terms
13 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
0f113f3e 14 *
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15 * Copyright remains Eric Young's, and as such any Copyright notices in
16 * the code are not to be removed.
17 * If this package is used in a product, Eric Young should be given attribution
18 * as the author of the parts of the library used.
19 * This can be in the form of a textual message at program startup or
20 * in documentation (online or textual) provided with the package.
0f113f3e 21 *
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22 * Redistribution and use in source and binary forms, with or without
23 * modification, are permitted provided that the following conditions
24 * are met:
25 * 1. Redistributions of source code must retain the copyright
26 * notice, this list of conditions and the following disclaimer.
27 * 2. Redistributions in binary form must reproduce the above copyright
28 * notice, this list of conditions and the following disclaimer in the
29 * documentation and/or other materials provided with the distribution.
30 * 3. All advertising materials mentioning features or use of this software
31 * must display the following acknowledgement:
32 * "This product includes cryptographic software written by
33 * Eric Young (eay@cryptsoft.com)"
34 * The word 'cryptographic' can be left out if the rouines from the library
35 * being used are not cryptographic related :-).
0f113f3e 36 * 4. If you include any Windows specific code (or a derivative thereof) from
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37 * the apps directory (application code) you must include an acknowledgement:
38 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
0f113f3e 39 *
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40 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
41 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
42 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
43 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
44 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
45 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
46 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
48 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
49 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
50 * SUCH DAMAGE.
0f113f3e 51 *
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52 * The licence and distribution terms for any publically available version or
53 * derivative of this code cannot be changed. i.e. this code cannot simply be
54 * copied and put under another distribution licence
55 * [including the GNU Public Licence.]
56 */
57
b39fc560 58#include "internal/cryptlib.h"
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59#include "bn_lcl.h"
60
61/* r must not be a */
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62/*
63 * I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96
64 */
020fc820 65int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
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66{
67 int max, al;
68 int ret = 0;
69 BIGNUM *tmp, *rr;
d02b48c6 70
0f113f3e 71 bn_check_top(a);
d02b48c6 72
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73 al = a->top;
74 if (al <= 0) {
75 r->top = 0;
76 r->neg = 0;
77 return 1;
78 }
d02b48c6 79
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80 BN_CTX_start(ctx);
81 rr = (a != r) ? r : BN_CTX_get(ctx);
82 tmp = BN_CTX_get(ctx);
83 if (!rr || !tmp)
84 goto err;
9b141126 85
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86 max = 2 * al; /* Non-zero (from above) */
87 if (bn_wexpand(rr, max) == NULL)
88 goto err;
d02b48c6 89
0f113f3e 90 if (al == 4) {
dfeab068 91#ifndef BN_SQR_COMBA
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92 BN_ULONG t[8];
93 bn_sqr_normal(rr->d, a->d, 4, t);
dfeab068 94#else
0f113f3e 95 bn_sqr_comba4(rr->d, a->d);
dfeab068 96#endif
0f113f3e 97 } else if (al == 8) {
dfeab068 98#ifndef BN_SQR_COMBA
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99 BN_ULONG t[16];
100 bn_sqr_normal(rr->d, a->d, 8, t);
dfeab068 101#else
0f113f3e 102 bn_sqr_comba8(rr->d, a->d);
dfeab068 103#endif
0f113f3e 104 } else {
dfeab068 105#if defined(BN_RECURSION)
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106 if (al < BN_SQR_RECURSIVE_SIZE_NORMAL) {
107 BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL * 2];
108 bn_sqr_normal(rr->d, a->d, al, t);
109 } else {
110 int j, k;
a0a54079 111
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112 j = BN_num_bits_word((BN_ULONG)al);
113 j = 1 << (j - 1);
114 k = j + j;
115 if (al == j) {
116 if (bn_wexpand(tmp, k * 2) == NULL)
117 goto err;
118 bn_sqr_recursive(rr->d, a->d, al, tmp->d);
119 } else {
120 if (bn_wexpand(tmp, max) == NULL)
121 goto err;
122 bn_sqr_normal(rr->d, a->d, al, tmp->d);
123 }
124 }
dfeab068 125#else
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126 if (bn_wexpand(tmp, max) == NULL)
127 goto err;
128 bn_sqr_normal(rr->d, a->d, al, tmp->d);
dfeab068 129#endif
0f113f3e 130 }
dfeab068 131
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132 rr->neg = 0;
133 /*
134 * If the most-significant half of the top word of 'a' is zero, then the
135 * square of 'a' will max-1 words.
136 */
137 if (a->d[al - 1] == (a->d[al - 1] & BN_MASK2l))
138 rr->top = max - 1;
139 else
140 rr->top = max;
141 if (rr != r)
142 BN_copy(r, rr);
143 ret = 1;
9b141126 144 err:
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145 bn_check_top(rr);
146 bn_check_top(tmp);
147 BN_CTX_end(ctx);
148 return (ret);
149}
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150
151/* tmp must have 2*n words */
43fcc1b0 152void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp)
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153{
154 int i, j, max;
155 const BN_ULONG *ap;
156 BN_ULONG *rp;
d02b48c6 157
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158 max = n * 2;
159 ap = a;
160 rp = r;
161 rp[0] = rp[max - 1] = 0;
162 rp++;
163 j = n;
d02b48c6 164
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165 if (--j > 0) {
166 ap++;
167 rp[j] = bn_mul_words(rp, ap, j, ap[-1]);
168 rp += 2;
169 }
d02b48c6 170
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171 for (i = n - 2; i > 0; i--) {
172 j--;
173 ap++;
174 rp[j] = bn_mul_add_words(rp, ap, j, ap[-1]);
175 rp += 2;
176 }
d02b48c6 177
0f113f3e 178 bn_add_words(r, r, r, max);
d02b48c6 179
0f113f3e 180 /* There will not be a carry */
d02b48c6 181
0f113f3e 182 bn_sqr_words(tmp, a, n);
d02b48c6 183
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184 bn_add_words(r, r, tmp, max);
185}
d02b48c6 186
dfeab068 187#ifdef BN_RECURSION
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188/*-
189 * r is 2*n words in size,
fe035197 190 * a and b are both n words in size. (There's not actually a 'b' here ...)
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191 * n must be a power of 2.
192 * We multiply and return the result.
193 * t must be 2*n words in size
657e60fa 194 * We calculate
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195 * a[0]*b[0]
196 * a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0])
197 * a[1]*b[1]
198 */
43fcc1b0 199void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t)
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200{
201 int n = n2 / 2;
202 int zero, c1;
203 BN_ULONG ln, lo, *p;
dfeab068 204
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205 if (n2 == 4) {
206# ifndef BN_SQR_COMBA
207 bn_sqr_normal(r, a, 4, t);
208# else
209 bn_sqr_comba4(r, a);
210# endif
211 return;
212 } else if (n2 == 8) {
213# ifndef BN_SQR_COMBA
214 bn_sqr_normal(r, a, 8, t);
215# else
216 bn_sqr_comba8(r, a);
217# endif
218 return;
219 }
220 if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL) {
221 bn_sqr_normal(r, a, n2, t);
222 return;
223 }
224 /* r=(a[0]-a[1])*(a[1]-a[0]) */
225 c1 = bn_cmp_words(a, &(a[n]), n);
226 zero = 0;
227 if (c1 > 0)
228 bn_sub_words(t, a, &(a[n]), n);
229 else if (c1 < 0)
230 bn_sub_words(t, &(a[n]), a, n);
231 else
232 zero = 1;
dfeab068 233
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234 /* The result will always be negative unless it is zero */
235 p = &(t[n2 * 2]);
dfeab068 236
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237 if (!zero)
238 bn_sqr_recursive(&(t[n2]), t, n, p);
239 else
16f8d4eb 240 memset(&t[n2], 0, sizeof(*t) * n2);
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241 bn_sqr_recursive(r, a, n, p);
242 bn_sqr_recursive(&(r[n2]), &(a[n]), n, p);
dfeab068 243
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244 /*-
245 * t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
246 * r[10] holds (a[0]*b[0])
247 * r[32] holds (b[1]*b[1])
248 */
dfeab068 249
0f113f3e 250 c1 = (int)(bn_add_words(t, r, &(r[n2]), n2));
dfeab068 251
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252 /* t[32] is negative */
253 c1 -= (int)(bn_sub_words(&(t[n2]), t, &(t[n2]), n2));
dfeab068 254
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255 /*-
256 * t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
257 * r[10] holds (a[0]*a[0])
258 * r[32] holds (a[1]*a[1])
259 * c1 holds the carry bits
260 */
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261 c1 += (int)(bn_add_words(&(r[n]), &(r[n]), &(t[n2]), n2));
262 if (c1) {
263 p = &(r[n + n2]);
264 lo = *p;
265 ln = (lo + c1) & BN_MASK2;
266 *p = ln;
dfeab068 267
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268 /*
269 * The overflow will stop before we over write words we should not
270 * overwrite
271 */
272 if (ln < (BN_ULONG)c1) {
273 do {
274 p++;
275 lo = *p;
276 ln = (lo + 1) & BN_MASK2;
277 *p = ln;
278 } while (ln == 0);
279 }
280 }
281}
dfeab068 282#endif