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| 1 /* crypto/ec/ecp_oct.c */ | |
| 2 /* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de> | |
| 3 * for the OpenSSL project. | |
| 4 * Includes code written by Bodo Moeller for the OpenSSL project. | |
| 5 */ | |
| 6 /* ==================================================================== | |
| 7 * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. | |
| 8 * | |
| 9 * Redistribution and use in source and binary forms, with or without | |
| 10 * modification, are permitted provided that the following conditions | |
| 11 * are met: | |
| 12 * | |
| 13 * 1. Redistributions of source code must retain the above copyright | |
| 14 * notice, this list of conditions and the following disclaimer. | |
| 15 * | |
| 16 * 2. Redistributions in binary form must reproduce the above copyright | |
| 17 * notice, this list of conditions and the following disclaimer in | |
| 18 * the documentation and/or other materials provided with the | |
| 19 * distribution. | |
| 20 * | |
| 21 * 3. All advertising materials mentioning features or use of this | |
| 22 * software must display the following acknowledgment: | |
| 23 * "This product includes software developed by the OpenSSL Project | |
| 24 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | |
| 25 * | |
| 26 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | |
| 27 * endorse or promote products derived from this software without | |
| 28 * prior written permission. For written permission, please contact | |
| 29 * openssl-core@openssl.org. | |
| 30 * | |
| 31 * 5. Products derived from this software may not be called "OpenSSL" | |
| 32 * nor may "OpenSSL" appear in their names without prior written | |
| 33 * permission of the OpenSSL Project. | |
| 34 * | |
| 35 * 6. Redistributions of any form whatsoever must retain the following | |
| 36 * acknowledgment: | |
| 37 * "This product includes software developed by the OpenSSL Project | |
| 38 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | |
| 39 * | |
| 40 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | |
| 41 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
| 42 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | |
| 43 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR | |
| 44 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | |
| 45 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | |
| 46 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | |
| 47 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
| 48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | |
| 49 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
| 50 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | |
| 51 * OF THE POSSIBILITY OF SUCH DAMAGE. | |
| 52 * ==================================================================== | |
| 53 * | |
| 54 * This product includes cryptographic software written by Eric Young | |
| 55 * (eay@cryptsoft.com). This product includes software written by Tim | |
| 56 * Hudson (tjh@cryptsoft.com). | |
| 57 * | |
| 58 */ | |
| 59 /* ==================================================================== | |
| 60 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | |
| 61 * Portions of this software developed by SUN MICROSYSTEMS, INC., | |
| 62 * and contributed to the OpenSSL project. | |
| 63 */ | |
| 64 | |
| 65 #include <openssl/err.h> | |
| 66 #include <openssl/symhacks.h> | |
| 67 | |
| 68 #include "ec_lcl.h" | |
| 69 | |
| 70 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *po
int, | |
| 71 const BIGNUM *x_, int y_bit, BN_CTX *ctx) | |
| 72 { | |
| 73 BN_CTX *new_ctx = NULL; | |
| 74 BIGNUM *tmp1, *tmp2, *x, *y; | |
| 75 int ret = 0; | |
| 76 | |
| 77 /* clear error queue*/ | |
| 78 ERR_clear_error(); | |
| 79 | |
| 80 if (ctx == NULL) | |
| 81 { | |
| 82 ctx = new_ctx = BN_CTX_new(); | |
| 83 if (ctx == NULL) | |
| 84 return 0; | |
| 85 } | |
| 86 | |
| 87 y_bit = (y_bit != 0); | |
| 88 | |
| 89 BN_CTX_start(ctx); | |
| 90 tmp1 = BN_CTX_get(ctx); | |
| 91 tmp2 = BN_CTX_get(ctx); | |
| 92 x = BN_CTX_get(ctx); | |
| 93 y = BN_CTX_get(ctx); | |
| 94 if (y == NULL) goto err; | |
| 95 | |
| 96 /* Recover y. We have a Weierstrass equation | |
| 97 * y^2 = x^3 + a*x + b, | |
| 98 * so y is one of the square roots of x^3 + a*x + b. | |
| 99 */ | |
| 100 | |
| 101 /* tmp1 := x^3 */ | |
| 102 if (!BN_nnmod(x, x_, &group->field,ctx)) goto err; | |
| 103 if (group->meth->field_decode == 0) | |
| 104 { | |
| 105 /* field_{sqr,mul} work on standard representation */ | |
| 106 if (!group->meth->field_sqr(group, tmp2, x_, ctx)) goto err; | |
| 107 if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) goto er
r; | |
| 108 } | |
| 109 else | |
| 110 { | |
| 111 if (!BN_mod_sqr(tmp2, x_, &group->field, ctx)) goto err; | |
| 112 if (!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx)) goto err; | |
| 113 } | |
| 114 | |
| 115 /* tmp1 := tmp1 + a*x */ | |
| 116 if (group->a_is_minus3) | |
| 117 { | |
| 118 if (!BN_mod_lshift1_quick(tmp2, x, &group->field)) goto err; | |
| 119 if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field)) goto err; | |
| 120 if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) goto err
; | |
| 121 } | |
| 122 else | |
| 123 { | |
| 124 if (group->meth->field_decode) | |
| 125 { | |
| 126 if (!group->meth->field_decode(group, tmp2, &group->a, c
tx)) goto err; | |
| 127 if (!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx)) goto
err; | |
| 128 } | |
| 129 else | |
| 130 { | |
| 131 /* field_mul works on standard representation */ | |
| 132 if (!group->meth->field_mul(group, tmp2, &group->a, x, c
tx)) goto err; | |
| 133 } | |
| 134 | |
| 135 if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err
; | |
| 136 } | |
| 137 | |
| 138 /* tmp1 := tmp1 + b */ | |
| 139 if (group->meth->field_decode) | |
| 140 { | |
| 141 if (!group->meth->field_decode(group, tmp2, &group->b, ctx)) got
o err; | |
| 142 if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err
; | |
| 143 } | |
| 144 else | |
| 145 { | |
| 146 if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) got
o err; | |
| 147 } | |
| 148 | |
| 149 if (!BN_mod_sqrt(y, tmp1, &group->field, ctx)) | |
| 150 { | |
| 151 unsigned long err = ERR_peek_last_error(); | |
| 152 | |
| 153 if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_
R_NOT_A_SQUARE) | |
| 154 { | |
| 155 ERR_clear_error(); | |
| 156 ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_
R_INVALID_COMPRESSED_POINT); | |
| 157 } | |
| 158 else | |
| 159 ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR
_R_BN_LIB); | |
| 160 goto err; | |
| 161 } | |
| 162 | |
| 163 if (y_bit != BN_is_odd(y)) | |
| 164 { | |
| 165 if (BN_is_zero(y)) | |
| 166 { | |
| 167 int kron; | |
| 168 | |
| 169 kron = BN_kronecker(x, &group->field, ctx); | |
| 170 if (kron == -2) goto err; | |
| 171 | |
| 172 if (kron == 1) | |
| 173 ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINA
TES, EC_R_INVALID_COMPRESSION_BIT); | |
| 174 else | |
| 175 /* BN_mod_sqrt() should have cought this error (
not a square) */ | |
| 176 ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINA
TES, EC_R_INVALID_COMPRESSED_POINT); | |
| 177 goto err; | |
| 178 } | |
| 179 if (!BN_usub(y, &group->field, y)) goto err; | |
| 180 } | |
| 181 if (y_bit != BN_is_odd(y)) | |
| 182 { | |
| 183 ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_INTER
NAL_ERROR); | |
| 184 goto err; | |
| 185 } | |
| 186 | |
| 187 if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto
err; | |
| 188 | |
| 189 ret = 1; | |
| 190 | |
| 191 err: | |
| 192 BN_CTX_end(ctx); | |
| 193 if (new_ctx != NULL) | |
| 194 BN_CTX_free(new_ctx); | |
| 195 return ret; | |
| 196 } | |
| 197 | |
| 198 | |
| 199 size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, poi
nt_conversion_form_t form, | |
| 200 unsigned char *buf, size_t len, BN_CTX *ctx) | |
| 201 { | |
| 202 size_t ret; | |
| 203 BN_CTX *new_ctx = NULL; | |
| 204 int used_ctx = 0; | |
| 205 BIGNUM *x, *y; | |
| 206 size_t field_len, i, skip; | |
| 207 | |
| 208 if ((form != POINT_CONVERSION_COMPRESSED) | |
| 209 && (form != POINT_CONVERSION_UNCOMPRESSED) | |
| 210 && (form != POINT_CONVERSION_HYBRID)) | |
| 211 { | |
| 212 ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); | |
| 213 goto err; | |
| 214 } | |
| 215 | |
| 216 if (EC_POINT_is_at_infinity(group, point)) | |
| 217 { | |
| 218 /* encodes to a single 0 octet */ | |
| 219 if (buf != NULL) | |
| 220 { | |
| 221 if (len < 1) | |
| 222 { | |
| 223 ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_
TOO_SMALL); | |
| 224 return 0; | |
| 225 } | |
| 226 buf[0] = 0; | |
| 227 } | |
| 228 return 1; | |
| 229 } | |
| 230 | |
| 231 | |
| 232 /* ret := required output buffer length */ | |
| 233 field_len = BN_num_bytes(&group->field); | |
| 234 ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*fiel
d_len; | |
| 235 | |
| 236 /* if 'buf' is NULL, just return required length */ | |
| 237 if (buf != NULL) | |
| 238 { | |
| 239 if (len < ret) | |
| 240 { | |
| 241 ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMAL
L); | |
| 242 goto err; | |
| 243 } | |
| 244 | |
| 245 if (ctx == NULL) | |
| 246 { | |
| 247 ctx = new_ctx = BN_CTX_new(); | |
| 248 if (ctx == NULL) | |
| 249 return 0; | |
| 250 } | |
| 251 | |
| 252 BN_CTX_start(ctx); | |
| 253 used_ctx = 1; | |
| 254 x = BN_CTX_get(ctx); | |
| 255 y = BN_CTX_get(ctx); | |
| 256 if (y == NULL) goto err; | |
| 257 | |
| 258 if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx
)) goto err; | |
| 259 | |
| 260 if ((form == POINT_CONVERSION_COMPRESSED || form == POINT_CONVER
SION_HYBRID) && BN_is_odd(y)) | |
| 261 buf[0] = form + 1; | |
| 262 else | |
| 263 buf[0] = form; | |
| 264 | |
| 265 i = 1; | |
| 266 | |
| 267 skip = field_len - BN_num_bytes(x); | |
| 268 if (skip > field_len) | |
| 269 { | |
| 270 ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR
); | |
| 271 goto err; | |
| 272 } | |
| 273 while (skip > 0) | |
| 274 { | |
| 275 buf[i++] = 0; | |
| 276 skip--; | |
| 277 } | |
| 278 skip = BN_bn2bin(x, buf + i); | |
| 279 i += skip; | |
| 280 if (i != 1 + field_len) | |
| 281 { | |
| 282 ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR
); | |
| 283 goto err; | |
| 284 } | |
| 285 | |
| 286 if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVE
RSION_HYBRID) | |
| 287 { | |
| 288 skip = field_len - BN_num_bytes(y); | |
| 289 if (skip > field_len) | |
| 290 { | |
| 291 ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERN
AL_ERROR); | |
| 292 goto err; | |
| 293 } | |
| 294 while (skip > 0) | |
| 295 { | |
| 296 buf[i++] = 0; | |
| 297 skip--; | |
| 298 } | |
| 299 skip = BN_bn2bin(y, buf + i); | |
| 300 i += skip; | |
| 301 } | |
| 302 | |
| 303 if (i != ret) | |
| 304 { | |
| 305 ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR
); | |
| 306 goto err; | |
| 307 } | |
| 308 } | |
| 309 | |
| 310 if (used_ctx) | |
| 311 BN_CTX_end(ctx); | |
| 312 if (new_ctx != NULL) | |
| 313 BN_CTX_free(new_ctx); | |
| 314 return ret; | |
| 315 | |
| 316 err: | |
| 317 if (used_ctx) | |
| 318 BN_CTX_end(ctx); | |
| 319 if (new_ctx != NULL) | |
| 320 BN_CTX_free(new_ctx); | |
| 321 return 0; | |
| 322 } | |
| 323 | |
| 324 | |
| 325 int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point, | |
| 326 const unsigned char *buf, size_t len, BN_CTX *ctx) | |
| 327 { | |
| 328 point_conversion_form_t form; | |
| 329 int y_bit; | |
| 330 BN_CTX *new_ctx = NULL; | |
| 331 BIGNUM *x, *y; | |
| 332 size_t field_len, enc_len; | |
| 333 int ret = 0; | |
| 334 | |
| 335 if (len == 0) | |
| 336 { | |
| 337 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); | |
| 338 return 0; | |
| 339 } | |
| 340 form = buf[0]; | |
| 341 y_bit = form & 1; | |
| 342 form = form & ~1U; | |
| 343 if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) | |
| 344 && (form != POINT_CONVERSION_UNCOMPRESSED) | |
| 345 && (form != POINT_CONVERSION_HYBRID)) | |
| 346 { | |
| 347 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
| 348 return 0; | |
| 349 } | |
| 350 if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) | |
| 351 { | |
| 352 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
| 353 return 0; | |
| 354 } | |
| 355 | |
| 356 if (form == 0) | |
| 357 { | |
| 358 if (len != 1) | |
| 359 { | |
| 360 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODIN
G); | |
| 361 return 0; | |
| 362 } | |
| 363 | |
| 364 return EC_POINT_set_to_infinity(group, point); | |
| 365 } | |
| 366 | |
| 367 field_len = BN_num_bytes(&group->field); | |
| 368 enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*
field_len; | |
| 369 | |
| 370 if (len != enc_len) | |
| 371 { | |
| 372 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
| 373 return 0; | |
| 374 } | |
| 375 | |
| 376 if (ctx == NULL) | |
| 377 { | |
| 378 ctx = new_ctx = BN_CTX_new(); | |
| 379 if (ctx == NULL) | |
| 380 return 0; | |
| 381 } | |
| 382 | |
| 383 BN_CTX_start(ctx); | |
| 384 x = BN_CTX_get(ctx); | |
| 385 y = BN_CTX_get(ctx); | |
| 386 if (y == NULL) goto err; | |
| 387 | |
| 388 if (!BN_bin2bn(buf + 1, field_len, x)) goto err; | |
| 389 if (BN_ucmp(x, &group->field) >= 0) | |
| 390 { | |
| 391 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); | |
| 392 goto err; | |
| 393 } | |
| 394 | |
| 395 if (form == POINT_CONVERSION_COMPRESSED) | |
| 396 { | |
| 397 if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_
bit, ctx)) goto err; | |
| 398 } | |
| 399 else | |
| 400 { | |
| 401 if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err; | |
| 402 if (BN_ucmp(y, &group->field) >= 0) | |
| 403 { | |
| 404 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODIN
G); | |
| 405 goto err; | |
| 406 } | |
| 407 if (form == POINT_CONVERSION_HYBRID) | |
| 408 { | |
| 409 if (y_bit != BN_is_odd(y)) | |
| 410 { | |
| 411 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID
_ENCODING); | |
| 412 goto err; | |
| 413 } | |
| 414 } | |
| 415 | |
| 416 if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx
)) goto err; | |
| 417 } | |
| 418 | |
| 419 if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62
*/ | |
| 420 { | |
| 421 ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE); | |
| 422 goto err; | |
| 423 } | |
| 424 | |
| 425 ret = 1; | |
| 426 | |
| 427 err: | |
| 428 BN_CTX_end(ctx); | |
| 429 if (new_ctx != NULL) | |
| 430 BN_CTX_free(new_ctx); | |
| 431 return ret; | |
| 432 } | |
| 433 | |
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Chromium Code Reviews
Issue 2072073002:
Delete bundled copy of OpenSSL and replace with README. (Closed)
Base URL: https://chromium.googlesource.com/chromium/deps/openssl@master