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 | } | ||
