yuezonghe | 824eb0c | 2024-06-27 02:32:26 -0700 | [diff] [blame] | 1 | /* |
| 2 | * Copyright 2011-2018 The OpenSSL Project Authors. All Rights Reserved. |
| 3 | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved |
| 4 | * |
| 5 | * Licensed under the OpenSSL license (the "License"). You may not use |
| 6 | * this file except in compliance with the License. You can obtain a copy |
| 7 | * in the file LICENSE in the source distribution or at |
| 8 | * https://www.openssl.org/source/license.html |
| 9 | */ |
| 10 | |
| 11 | #include <openssl/err.h> |
| 12 | #include <openssl/symhacks.h> |
| 13 | |
| 14 | #include "ec_local.h" |
| 15 | |
| 16 | int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, |
| 17 | EC_POINT *point, |
| 18 | const BIGNUM *x_, int y_bit, |
| 19 | BN_CTX *ctx) |
| 20 | { |
| 21 | BN_CTX *new_ctx = NULL; |
| 22 | BIGNUM *tmp1, *tmp2, *x, *y; |
| 23 | int ret = 0; |
| 24 | |
| 25 | /* clear error queue */ |
| 26 | ERR_clear_error(); |
| 27 | |
| 28 | if (ctx == NULL) { |
| 29 | ctx = new_ctx = BN_CTX_new(); |
| 30 | if (ctx == NULL) |
| 31 | return 0; |
| 32 | } |
| 33 | |
| 34 | y_bit = (y_bit != 0); |
| 35 | |
| 36 | BN_CTX_start(ctx); |
| 37 | tmp1 = BN_CTX_get(ctx); |
| 38 | tmp2 = BN_CTX_get(ctx); |
| 39 | x = BN_CTX_get(ctx); |
| 40 | y = BN_CTX_get(ctx); |
| 41 | if (y == NULL) |
| 42 | goto err; |
| 43 | |
| 44 | /*- |
| 45 | * Recover y. We have a Weierstrass equation |
| 46 | * y^2 = x^3 + a*x + b, |
| 47 | * so y is one of the square roots of x^3 + a*x + b. |
| 48 | */ |
| 49 | |
| 50 | /* tmp1 := x^3 */ |
| 51 | if (!BN_nnmod(x, x_, group->field, ctx)) |
| 52 | goto err; |
| 53 | if (group->meth->field_decode == 0) { |
| 54 | /* field_{sqr,mul} work on standard representation */ |
| 55 | if (!group->meth->field_sqr(group, tmp2, x_, ctx)) |
| 56 | goto err; |
| 57 | if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) |
| 58 | goto err; |
| 59 | } else { |
| 60 | if (!BN_mod_sqr(tmp2, x_, group->field, ctx)) |
| 61 | goto err; |
| 62 | if (!BN_mod_mul(tmp1, tmp2, x_, group->field, ctx)) |
| 63 | goto err; |
| 64 | } |
| 65 | |
| 66 | /* tmp1 := tmp1 + a*x */ |
| 67 | if (group->a_is_minus3) { |
| 68 | if (!BN_mod_lshift1_quick(tmp2, x, group->field)) |
| 69 | goto err; |
| 70 | if (!BN_mod_add_quick(tmp2, tmp2, x, group->field)) |
| 71 | goto err; |
| 72 | if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, group->field)) |
| 73 | goto err; |
| 74 | } else { |
| 75 | if (group->meth->field_decode) { |
| 76 | if (!group->meth->field_decode(group, tmp2, group->a, ctx)) |
| 77 | goto err; |
| 78 | if (!BN_mod_mul(tmp2, tmp2, x, group->field, ctx)) |
| 79 | goto err; |
| 80 | } else { |
| 81 | /* field_mul works on standard representation */ |
| 82 | if (!group->meth->field_mul(group, tmp2, group->a, x, ctx)) |
| 83 | goto err; |
| 84 | } |
| 85 | |
| 86 | if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field)) |
| 87 | goto err; |
| 88 | } |
| 89 | |
| 90 | /* tmp1 := tmp1 + b */ |
| 91 | if (group->meth->field_decode) { |
| 92 | if (!group->meth->field_decode(group, tmp2, group->b, ctx)) |
| 93 | goto err; |
| 94 | if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field)) |
| 95 | goto err; |
| 96 | } else { |
| 97 | if (!BN_mod_add_quick(tmp1, tmp1, group->b, group->field)) |
| 98 | goto err; |
| 99 | } |
| 100 | |
| 101 | if (!BN_mod_sqrt(y, tmp1, group->field, ctx)) { |
| 102 | unsigned long err = ERR_peek_last_error(); |
| 103 | |
| 104 | if (ERR_GET_LIB(err) == ERR_LIB_BN |
| 105 | && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) { |
| 106 | ERR_clear_error(); |
| 107 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
| 108 | EC_R_INVALID_COMPRESSED_POINT); |
| 109 | } else |
| 110 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
| 111 | ERR_R_BN_LIB); |
| 112 | goto err; |
| 113 | } |
| 114 | |
| 115 | if (y_bit != BN_is_odd(y)) { |
| 116 | if (BN_is_zero(y)) { |
| 117 | int kron; |
| 118 | |
| 119 | kron = BN_kronecker(x, group->field, ctx); |
| 120 | if (kron == -2) |
| 121 | goto err; |
| 122 | |
| 123 | if (kron == 1) |
| 124 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
| 125 | EC_R_INVALID_COMPRESSION_BIT); |
| 126 | else |
| 127 | /* |
| 128 | * BN_mod_sqrt() should have caught this error (not a square) |
| 129 | */ |
| 130 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
| 131 | EC_R_INVALID_COMPRESSED_POINT); |
| 132 | goto err; |
| 133 | } |
| 134 | if (!BN_usub(y, group->field, y)) |
| 135 | goto err; |
| 136 | } |
| 137 | if (y_bit != BN_is_odd(y)) { |
| 138 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
| 139 | ERR_R_INTERNAL_ERROR); |
| 140 | goto err; |
| 141 | } |
| 142 | |
| 143 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx)) |
| 144 | goto err; |
| 145 | |
| 146 | ret = 1; |
| 147 | |
| 148 | err: |
| 149 | BN_CTX_end(ctx); |
| 150 | BN_CTX_free(new_ctx); |
| 151 | return ret; |
| 152 | } |
| 153 | |
| 154 | size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, |
| 155 | point_conversion_form_t form, |
| 156 | unsigned char *buf, size_t len, BN_CTX *ctx) |
| 157 | { |
| 158 | size_t ret; |
| 159 | BN_CTX *new_ctx = NULL; |
| 160 | int used_ctx = 0; |
| 161 | BIGNUM *x, *y; |
| 162 | size_t field_len, i, skip; |
| 163 | |
| 164 | if ((form != POINT_CONVERSION_COMPRESSED) |
| 165 | && (form != POINT_CONVERSION_UNCOMPRESSED) |
| 166 | && (form != POINT_CONVERSION_HYBRID)) { |
| 167 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); |
| 168 | goto err; |
| 169 | } |
| 170 | |
| 171 | if (EC_POINT_is_at_infinity(group, point)) { |
| 172 | /* encodes to a single 0 octet */ |
| 173 | if (buf != NULL) { |
| 174 | if (len < 1) { |
| 175 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); |
| 176 | return 0; |
| 177 | } |
| 178 | buf[0] = 0; |
| 179 | } |
| 180 | return 1; |
| 181 | } |
| 182 | |
| 183 | /* ret := required output buffer length */ |
| 184 | field_len = BN_num_bytes(group->field); |
| 185 | ret = |
| 186 | (form == |
| 187 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; |
| 188 | |
| 189 | /* if 'buf' is NULL, just return required length */ |
| 190 | if (buf != NULL) { |
| 191 | if (len < ret) { |
| 192 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); |
| 193 | goto err; |
| 194 | } |
| 195 | |
| 196 | if (ctx == NULL) { |
| 197 | ctx = new_ctx = BN_CTX_new(); |
| 198 | if (ctx == NULL) |
| 199 | return 0; |
| 200 | } |
| 201 | |
| 202 | BN_CTX_start(ctx); |
| 203 | used_ctx = 1; |
| 204 | x = BN_CTX_get(ctx); |
| 205 | y = BN_CTX_get(ctx); |
| 206 | if (y == NULL) |
| 207 | goto err; |
| 208 | |
| 209 | if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx)) |
| 210 | goto err; |
| 211 | |
| 212 | if ((form == POINT_CONVERSION_COMPRESSED |
| 213 | || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y)) |
| 214 | buf[0] = form + 1; |
| 215 | else |
| 216 | buf[0] = form; |
| 217 | |
| 218 | i = 1; |
| 219 | |
| 220 | skip = field_len - BN_num_bytes(x); |
| 221 | if (skip > field_len) { |
| 222 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
| 223 | goto err; |
| 224 | } |
| 225 | while (skip > 0) { |
| 226 | buf[i++] = 0; |
| 227 | skip--; |
| 228 | } |
| 229 | skip = BN_bn2bin(x, buf + i); |
| 230 | i += skip; |
| 231 | if (i != 1 + field_len) { |
| 232 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
| 233 | goto err; |
| 234 | } |
| 235 | |
| 236 | if (form == POINT_CONVERSION_UNCOMPRESSED |
| 237 | || form == POINT_CONVERSION_HYBRID) { |
| 238 | skip = field_len - BN_num_bytes(y); |
| 239 | if (skip > field_len) { |
| 240 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
| 241 | goto err; |
| 242 | } |
| 243 | while (skip > 0) { |
| 244 | buf[i++] = 0; |
| 245 | skip--; |
| 246 | } |
| 247 | skip = BN_bn2bin(y, buf + i); |
| 248 | i += skip; |
| 249 | } |
| 250 | |
| 251 | if (i != ret) { |
| 252 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
| 253 | goto err; |
| 254 | } |
| 255 | } |
| 256 | |
| 257 | if (used_ctx) |
| 258 | BN_CTX_end(ctx); |
| 259 | BN_CTX_free(new_ctx); |
| 260 | return ret; |
| 261 | |
| 262 | err: |
| 263 | if (used_ctx) |
| 264 | BN_CTX_end(ctx); |
| 265 | BN_CTX_free(new_ctx); |
| 266 | return 0; |
| 267 | } |
| 268 | |
| 269 | int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point, |
| 270 | const unsigned char *buf, size_t len, BN_CTX *ctx) |
| 271 | { |
| 272 | point_conversion_form_t form; |
| 273 | int y_bit; |
| 274 | BN_CTX *new_ctx = NULL; |
| 275 | BIGNUM *x, *y; |
| 276 | size_t field_len, enc_len; |
| 277 | int ret = 0; |
| 278 | |
| 279 | if (len == 0) { |
| 280 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); |
| 281 | return 0; |
| 282 | } |
| 283 | form = buf[0]; |
| 284 | y_bit = form & 1; |
| 285 | form = form & ~1U; |
| 286 | if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) |
| 287 | && (form != POINT_CONVERSION_UNCOMPRESSED) |
| 288 | && (form != POINT_CONVERSION_HYBRID)) { |
| 289 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
| 290 | return 0; |
| 291 | } |
| 292 | if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) { |
| 293 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
| 294 | return 0; |
| 295 | } |
| 296 | |
| 297 | if (form == 0) { |
| 298 | if (len != 1) { |
| 299 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
| 300 | return 0; |
| 301 | } |
| 302 | |
| 303 | return EC_POINT_set_to_infinity(group, point); |
| 304 | } |
| 305 | |
| 306 | field_len = BN_num_bytes(group->field); |
| 307 | enc_len = |
| 308 | (form == |
| 309 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; |
| 310 | |
| 311 | if (len != enc_len) { |
| 312 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
| 313 | return 0; |
| 314 | } |
| 315 | |
| 316 | if (ctx == NULL) { |
| 317 | ctx = new_ctx = BN_CTX_new(); |
| 318 | if (ctx == NULL) |
| 319 | return 0; |
| 320 | } |
| 321 | |
| 322 | BN_CTX_start(ctx); |
| 323 | x = BN_CTX_get(ctx); |
| 324 | y = BN_CTX_get(ctx); |
| 325 | if (y == NULL) |
| 326 | goto err; |
| 327 | |
| 328 | if (!BN_bin2bn(buf + 1, field_len, x)) |
| 329 | goto err; |
| 330 | if (BN_ucmp(x, group->field) >= 0) { |
| 331 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
| 332 | goto err; |
| 333 | } |
| 334 | |
| 335 | if (form == POINT_CONVERSION_COMPRESSED) { |
| 336 | if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx)) |
| 337 | goto err; |
| 338 | } else { |
| 339 | if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) |
| 340 | goto err; |
| 341 | if (BN_ucmp(y, group->field) >= 0) { |
| 342 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
| 343 | goto err; |
| 344 | } |
| 345 | if (form == POINT_CONVERSION_HYBRID) { |
| 346 | if (y_bit != BN_is_odd(y)) { |
| 347 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
| 348 | goto err; |
| 349 | } |
| 350 | } |
| 351 | |
| 352 | /* |
| 353 | * EC_POINT_set_affine_coordinates is responsible for checking that |
| 354 | * the point is on the curve. |
| 355 | */ |
| 356 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx)) |
| 357 | goto err; |
| 358 | } |
| 359 | |
| 360 | ret = 1; |
| 361 | |
| 362 | err: |
| 363 | BN_CTX_end(ctx); |
| 364 | BN_CTX_free(new_ctx); |
| 365 | return ret; |
| 366 | } |