diff options
Diffstat (limited to 'src/lib/libcrypto/ec/ec_mult.c')
-rw-r--r-- | src/lib/libcrypto/ec/ec_mult.c | 407 |
1 files changed, 0 insertions, 407 deletions
diff --git a/src/lib/libcrypto/ec/ec_mult.c b/src/lib/libcrypto/ec/ec_mult.c deleted file mode 100644 index 673696a9fd..0000000000 --- a/src/lib/libcrypto/ec/ec_mult.c +++ /dev/null | |||
@@ -1,407 +0,0 @@ | |||
1 | /* $OpenBSD: ec_mult.c,v 1.58 2025/03/24 13:07:04 jsing Exp $ */ | ||
2 | /* | ||
3 | * Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project. | ||
4 | */ | ||
5 | /* ==================================================================== | ||
6 | * Copyright (c) 1998-2007 The OpenSSL Project. All rights reserved. | ||
7 | * | ||
8 | * Redistribution and use in source and binary forms, with or without | ||
9 | * modification, are permitted provided that the following conditions | ||
10 | * are met: | ||
11 | * | ||
12 | * 1. Redistributions of source code must retain the above copyright | ||
13 | * notice, this list of conditions and the following disclaimer. | ||
14 | * | ||
15 | * 2. Redistributions in binary form must reproduce the above copyright | ||
16 | * notice, this list of conditions and the following disclaimer in | ||
17 | * the documentation and/or other materials provided with the | ||
18 | * distribution. | ||
19 | * | ||
20 | * 3. All advertising materials mentioning features or use of this | ||
21 | * software must display the following acknowledgment: | ||
22 | * "This product includes software developed by the OpenSSL Project | ||
23 | * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | ||
24 | * | ||
25 | * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | ||
26 | * endorse or promote products derived from this software without | ||
27 | * prior written permission. For written permission, please contact | ||
28 | * openssl-core@openssl.org. | ||
29 | * | ||
30 | * 5. Products derived from this software may not be called "OpenSSL" | ||
31 | * nor may "OpenSSL" appear in their names without prior written | ||
32 | * permission of the OpenSSL Project. | ||
33 | * | ||
34 | * 6. Redistributions of any form whatsoever must retain the following | ||
35 | * acknowledgment: | ||
36 | * "This product includes software developed by the OpenSSL Project | ||
37 | * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | ||
38 | * | ||
39 | * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | ||
40 | * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
41 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | ||
42 | * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | ||
43 | * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
44 | * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | ||
45 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | ||
46 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | ||
47 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | ||
48 | * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
49 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | ||
50 | * OF THE POSSIBILITY OF SUCH DAMAGE. | ||
51 | * ==================================================================== | ||
52 | * | ||
53 | * This product includes cryptographic software written by Eric Young | ||
54 | * (eay@cryptsoft.com). This product includes software written by Tim | ||
55 | * Hudson (tjh@cryptsoft.com). | ||
56 | * | ||
57 | */ | ||
58 | /* ==================================================================== | ||
59 | * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | ||
60 | * Portions of this software developed by SUN MICROSYSTEMS, INC., | ||
61 | * and contributed to the OpenSSL project. | ||
62 | */ | ||
63 | |||
64 | #include <stdint.h> | ||
65 | #include <stdlib.h> | ||
66 | #include <string.h> | ||
67 | |||
68 | #include <openssl/bn.h> | ||
69 | #include <openssl/ec.h> | ||
70 | #include <openssl/err.h> | ||
71 | |||
72 | #include "ec_local.h" | ||
73 | |||
74 | /* Holds the wNAF digits of bn and the corresponding odd multiples of point. */ | ||
75 | struct ec_wnaf { | ||
76 | signed char *digits; | ||
77 | size_t num_digits; | ||
78 | EC_POINT **multiples; | ||
79 | size_t num_multiples; | ||
80 | }; | ||
81 | |||
82 | static int | ||
83 | ec_window_bits(const BIGNUM *bn) | ||
84 | { | ||
85 | int bits = BN_num_bits(bn); | ||
86 | |||
87 | if (bits >= 2000) | ||
88 | return 6; | ||
89 | if (bits >= 800) | ||
90 | return 5; | ||
91 | if (bits >= 300) | ||
92 | return 4; | ||
93 | if (bits >= 70) | ||
94 | return 3; | ||
95 | if (bits >= 20) | ||
96 | return 2; | ||
97 | |||
98 | return 1; | ||
99 | } | ||
100 | |||
101 | /* | ||
102 | * Width-(w+1) non-adjacent form of bn = \sum_j n_j 2^j, with odd n_j, | ||
103 | * where at most one of any (w+1) consecutive digits is non-zero. | ||
104 | */ | ||
105 | |||
106 | static int | ||
107 | ec_compute_wnaf(const BIGNUM *bn, signed char *digits, size_t num_digits) | ||
108 | { | ||
109 | int digit, bit, next, sign, wbits, window; | ||
110 | size_t i; | ||
111 | int ret = 0; | ||
112 | |||
113 | if (num_digits != BN_num_bits(bn) + 1) { | ||
114 | ECerror(ERR_R_INTERNAL_ERROR); | ||
115 | goto err; | ||
116 | } | ||
117 | |||
118 | sign = BN_is_negative(bn) ? -1 : 1; | ||
119 | |||
120 | wbits = ec_window_bits(bn); | ||
121 | |||
122 | bit = 1 << wbits; | ||
123 | next = bit << 1; | ||
124 | |||
125 | /* Extract the wbits + 1 lowest bits from bn into window. */ | ||
126 | window = 0; | ||
127 | for (i = 0; i < wbits + 1; i++) { | ||
128 | if (BN_is_bit_set(bn, i)) | ||
129 | window |= (1 << i); | ||
130 | } | ||
131 | |||
132 | /* Instead of bn >>= 1 in each iteration, slide window to the left. */ | ||
133 | for (i = 0; i < num_digits; i++) { | ||
134 | digit = 0; | ||
135 | |||
136 | /* | ||
137 | * If window is odd, the i-th wNAF digit is window (mods 2^w), | ||
138 | * where mods is the signed modulo in (-2^w-1, 2^w-1]. Subtract | ||
139 | * the digit from window, so window is 0 or next, and add the | ||
140 | * digit to the wNAF digits. | ||
141 | */ | ||
142 | if ((window & 1) != 0) { | ||
143 | digit = window; | ||
144 | if ((window & bit) != 0) | ||
145 | digit = window - next; | ||
146 | window -= digit; | ||
147 | } | ||
148 | |||
149 | digits[i] = sign * digit; | ||
150 | |||
151 | /* Slide the window to the left. */ | ||
152 | window >>= 1; | ||
153 | window += bit * BN_is_bit_set(bn, i + wbits + 1); | ||
154 | } | ||
155 | |||
156 | ret = 1; | ||
157 | |||
158 | err: | ||
159 | return ret; | ||
160 | } | ||
161 | |||
162 | static int | ||
163 | ec_compute_odd_multiples(const EC_GROUP *group, const EC_POINT *point, | ||
164 | EC_POINT **multiples, size_t num_multiples, BN_CTX *ctx) | ||
165 | { | ||
166 | EC_POINT *doubled = NULL; | ||
167 | size_t i; | ||
168 | int ret = 0; | ||
169 | |||
170 | if (num_multiples < 1) | ||
171 | goto err; | ||
172 | |||
173 | if ((multiples[0] = EC_POINT_dup(point, group)) == NULL) | ||
174 | goto err; | ||
175 | |||
176 | if ((doubled = EC_POINT_new(group)) == NULL) | ||
177 | goto err; | ||
178 | if (!EC_POINT_dbl(group, doubled, point, ctx)) | ||
179 | goto err; | ||
180 | for (i = 1; i < num_multiples; i++) { | ||
181 | if ((multiples[i] = EC_POINT_new(group)) == NULL) | ||
182 | goto err; | ||
183 | if (!EC_POINT_add(group, multiples[i], multiples[i - 1], doubled, | ||
184 | ctx)) | ||
185 | goto err; | ||
186 | } | ||
187 | |||
188 | ret = 1; | ||
189 | |||
190 | err: | ||
191 | EC_POINT_free(doubled); | ||
192 | |||
193 | return ret; | ||
194 | } | ||
195 | |||
196 | /* | ||
197 | * Bring multiples held in wnaf0 and wnaf1 simultaneously into affine form | ||
198 | * so that the operations in the loop in ec_wnaf_mul() can take fast paths. | ||
199 | */ | ||
200 | |||
201 | static int | ||
202 | ec_normalize_points(const EC_GROUP *group, struct ec_wnaf *wnaf0, | ||
203 | struct ec_wnaf *wnaf1, BN_CTX *ctx) | ||
204 | { | ||
205 | EC_POINT **points0 = wnaf0->multiples, **points1 = wnaf1->multiples; | ||
206 | size_t len0 = wnaf0->num_multiples, len1 = wnaf1->num_multiples; | ||
207 | EC_POINT **val = NULL; | ||
208 | size_t len = 0; | ||
209 | int ret = 0; | ||
210 | |||
211 | if (len1 > SIZE_MAX - len0) | ||
212 | goto err; | ||
213 | len = len0 + len1; | ||
214 | |||
215 | if ((val = calloc(len, sizeof(*val))) == NULL) { | ||
216 | ECerror(ERR_R_MALLOC_FAILURE); | ||
217 | goto err; | ||
218 | } | ||
219 | memcpy(&val[0], points0, sizeof(*val) * len0); | ||
220 | memcpy(&val[len0], points1, sizeof(*val) * len1); | ||
221 | |||
222 | if (!group->meth->points_make_affine(group, len, val, ctx)) | ||
223 | goto err; | ||
224 | |||
225 | ret = 1; | ||
226 | |||
227 | err: | ||
228 | free(val); | ||
229 | |||
230 | return ret; | ||
231 | } | ||
232 | |||
233 | static void | ||
234 | ec_points_free(EC_POINT **points, size_t num_points) | ||
235 | { | ||
236 | size_t i; | ||
237 | |||
238 | if (points == NULL) | ||
239 | return; | ||
240 | |||
241 | for (i = 0; i < num_points; i++) | ||
242 | EC_POINT_free(points[i]); | ||
243 | free(points); | ||
244 | } | ||
245 | |||
246 | static void | ||
247 | ec_wnaf_free(struct ec_wnaf *wnaf) | ||
248 | { | ||
249 | if (wnaf == NULL) | ||
250 | return; | ||
251 | |||
252 | free(wnaf->digits); | ||
253 | ec_points_free(wnaf->multiples, wnaf->num_multiples); | ||
254 | free(wnaf); | ||
255 | } | ||
256 | |||
257 | /* | ||
258 | * Calculate wNAF splitting of bn and the corresponding odd multiples of point. | ||
259 | */ | ||
260 | |||
261 | static struct ec_wnaf * | ||
262 | ec_wnaf_new(const EC_GROUP *group, const BIGNUM *scalar, const EC_POINT *point, | ||
263 | BN_CTX *ctx) | ||
264 | { | ||
265 | struct ec_wnaf *wnaf; | ||
266 | |||
267 | if ((wnaf = calloc(1, sizeof(*wnaf))) == NULL) | ||
268 | goto err; | ||
269 | |||
270 | wnaf->num_digits = BN_num_bits(scalar) + 1; | ||
271 | if ((wnaf->digits = calloc(wnaf->num_digits, | ||
272 | sizeof(*wnaf->digits))) == NULL) | ||
273 | goto err; | ||
274 | |||
275 | if (!ec_compute_wnaf(scalar, wnaf->digits, wnaf->num_digits)) | ||
276 | goto err; | ||
277 | |||
278 | wnaf->num_multiples = 1ULL << (ec_window_bits(scalar) - 1); | ||
279 | if ((wnaf->multiples = calloc(wnaf->num_multiples, | ||
280 | sizeof(*wnaf->multiples))) == NULL) | ||
281 | goto err; | ||
282 | |||
283 | if (!ec_compute_odd_multiples(group, point, wnaf->multiples, | ||
284 | wnaf->num_multiples, ctx)) | ||
285 | goto err; | ||
286 | |||
287 | return wnaf; | ||
288 | |||
289 | err: | ||
290 | ec_wnaf_free(wnaf); | ||
291 | |||
292 | return NULL; | ||
293 | } | ||
294 | |||
295 | static signed char | ||
296 | ec_wnaf_digit(struct ec_wnaf *wnaf, size_t idx) | ||
297 | { | ||
298 | if (idx >= wnaf->num_digits) | ||
299 | return 0; | ||
300 | |||
301 | return wnaf->digits[idx]; | ||
302 | } | ||
303 | |||
304 | static const EC_POINT * | ||
305 | ec_wnaf_multiple(struct ec_wnaf *wnaf, signed char digit) | ||
306 | { | ||
307 | if (digit < 0) | ||
308 | return NULL; | ||
309 | if (digit >= 2 * wnaf->num_multiples) | ||
310 | return NULL; | ||
311 | |||
312 | return wnaf->multiples[digit >> 1]; | ||
313 | } | ||
314 | |||
315 | /* | ||
316 | * Compute r = scalar1 * point1 + scalar2 * point2 in non-constant time. | ||
317 | */ | ||
318 | |||
319 | int | ||
320 | ec_wnaf_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar1, | ||
321 | const EC_POINT *point1, const BIGNUM *scalar2, const EC_POINT *point2, | ||
322 | BN_CTX *ctx) | ||
323 | { | ||
324 | struct ec_wnaf *wnaf[2] = { NULL, NULL }; | ||
325 | size_t i; | ||
326 | int k; | ||
327 | int r_is_inverted = 0; | ||
328 | size_t num_digits; | ||
329 | int ret = 0; | ||
330 | |||
331 | if (scalar1 == NULL || scalar2 == NULL) { | ||
332 | ECerror(ERR_R_PASSED_NULL_PARAMETER); | ||
333 | goto err; | ||
334 | } | ||
335 | if (group->meth != r->meth || group->meth != point1->meth || | ||
336 | group->meth != point2->meth) { | ||
337 | ECerror(EC_R_INCOMPATIBLE_OBJECTS); | ||
338 | goto err; | ||
339 | } | ||
340 | |||
341 | if ((wnaf[0] = ec_wnaf_new(group, scalar1, point1, ctx)) == NULL) | ||
342 | goto err; | ||
343 | if ((wnaf[1] = ec_wnaf_new(group, scalar2, point2, ctx)) == NULL) | ||
344 | goto err; | ||
345 | |||
346 | if (!ec_normalize_points(group, wnaf[0], wnaf[1], ctx)) | ||
347 | goto err; | ||
348 | |||
349 | num_digits = wnaf[0]->num_digits; | ||
350 | if (wnaf[1]->num_digits > num_digits) | ||
351 | num_digits = wnaf[1]->num_digits; | ||
352 | |||
353 | /* | ||
354 | * Set r to the neutral element. Scan through the wNAF representations | ||
355 | * of m and n, starting at the most significant digit. Double r and for | ||
356 | * each wNAF digit of scalar1 add the digit times point1, and for each | ||
357 | * wNAF digit of scalar2 add the digit times point2, adjusting the signs | ||
358 | * as appropriate. | ||
359 | */ | ||
360 | |||
361 | if (!EC_POINT_set_to_infinity(group, r)) | ||
362 | goto err; | ||
363 | |||
364 | for (k = num_digits - 1; k >= 0; k--) { | ||
365 | if (!EC_POINT_dbl(group, r, r, ctx)) | ||
366 | goto err; | ||
367 | |||
368 | for (i = 0; i < 2; i++) { | ||
369 | const EC_POINT *multiple; | ||
370 | signed char digit; | ||
371 | int is_neg = 0; | ||
372 | |||
373 | if ((digit = ec_wnaf_digit(wnaf[i], k)) == 0) | ||
374 | continue; | ||
375 | |||
376 | if (digit < 0) { | ||
377 | is_neg = 1; | ||
378 | digit = -digit; | ||
379 | } | ||
380 | |||
381 | if (is_neg != r_is_inverted) { | ||
382 | if (!EC_POINT_invert(group, r, ctx)) | ||
383 | goto err; | ||
384 | r_is_inverted = !r_is_inverted; | ||
385 | } | ||
386 | |||
387 | if ((multiple = ec_wnaf_multiple(wnaf[i], digit)) == NULL) | ||
388 | goto err; | ||
389 | |||
390 | if (!EC_POINT_add(group, r, r, multiple, ctx)) | ||
391 | goto err; | ||
392 | } | ||
393 | } | ||
394 | |||
395 | if (r_is_inverted) { | ||
396 | if (!EC_POINT_invert(group, r, ctx)) | ||
397 | goto err; | ||
398 | } | ||
399 | |||
400 | ret = 1; | ||
401 | |||
402 | err: | ||
403 | ec_wnaf_free(wnaf[0]); | ||
404 | ec_wnaf_free(wnaf[1]); | ||
405 | |||
406 | return ret; | ||
407 | } | ||