yuezonghe | 824eb0c | 2024-06-27 02:32:26 -0700 | [diff] [blame] | 1 | /* |
| 2 | * Copyright 2002-2019 The OpenSSL Project Authors. All Rights Reserved. |
| 3 | * |
| 4 | * Licensed under the OpenSSL license (the "License"). You may not use |
| 5 | * this file except in compliance with the License. You can obtain a copy |
| 6 | * in the file LICENSE in the source distribution or at |
| 7 | * https://www.openssl.org/source/license.html |
| 8 | */ |
| 9 | |
| 10 | #include <string.h> |
| 11 | #include <openssl/err.h> |
| 12 | #include <openssl/obj_mac.h> |
| 13 | #include <openssl/rand.h> |
| 14 | #include "crypto/bn.h" |
| 15 | #include "ec_local.h" |
| 16 | |
| 17 | int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen, |
| 18 | unsigned char *sig, unsigned int *siglen, |
| 19 | const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey) |
| 20 | { |
| 21 | ECDSA_SIG *s; |
| 22 | |
| 23 | s = ECDSA_do_sign_ex(dgst, dlen, kinv, r, eckey); |
| 24 | if (s == NULL) { |
| 25 | *siglen = 0; |
| 26 | return 0; |
| 27 | } |
| 28 | *siglen = i2d_ECDSA_SIG(s, &sig); |
| 29 | ECDSA_SIG_free(s); |
| 30 | return 1; |
| 31 | } |
| 32 | |
| 33 | static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, |
| 34 | BIGNUM **kinvp, BIGNUM **rp, |
| 35 | const unsigned char *dgst, int dlen) |
| 36 | { |
| 37 | BN_CTX *ctx = NULL; |
| 38 | BIGNUM *k = NULL, *r = NULL, *X = NULL; |
| 39 | const BIGNUM *order; |
| 40 | EC_POINT *tmp_point = NULL; |
| 41 | const EC_GROUP *group; |
| 42 | int ret = 0; |
| 43 | int order_bits; |
| 44 | const BIGNUM *priv_key; |
| 45 | |
| 46 | if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) { |
| 47 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER); |
| 48 | return 0; |
| 49 | } |
| 50 | if ((priv_key = EC_KEY_get0_private_key(eckey)) == NULL) { |
| 51 | ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_MISSING_PRIVATE_KEY); |
| 52 | return 0; |
| 53 | } |
| 54 | |
| 55 | if (!EC_KEY_can_sign(eckey)) { |
| 56 | ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); |
| 57 | return 0; |
| 58 | } |
| 59 | |
| 60 | if ((ctx = ctx_in) == NULL) { |
| 61 | if ((ctx = BN_CTX_new()) == NULL) { |
| 62 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); |
| 63 | return 0; |
| 64 | } |
| 65 | } |
| 66 | |
| 67 | k = BN_new(); /* this value is later returned in *kinvp */ |
| 68 | r = BN_new(); /* this value is later returned in *rp */ |
| 69 | X = BN_new(); |
| 70 | if (k == NULL || r == NULL || X == NULL) { |
| 71 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); |
| 72 | goto err; |
| 73 | } |
| 74 | if ((tmp_point = EC_POINT_new(group)) == NULL) { |
| 75 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); |
| 76 | goto err; |
| 77 | } |
| 78 | order = EC_GROUP_get0_order(group); |
| 79 | |
| 80 | /* Preallocate space */ |
| 81 | order_bits = BN_num_bits(order); |
| 82 | if (!BN_set_bit(k, order_bits) |
| 83 | || !BN_set_bit(r, order_bits) |
| 84 | || !BN_set_bit(X, order_bits)) |
| 85 | goto err; |
| 86 | |
| 87 | do { |
| 88 | /* get random k */ |
| 89 | do { |
| 90 | if (dgst != NULL) { |
| 91 | if (!BN_generate_dsa_nonce(k, order, priv_key, |
| 92 | dgst, dlen, ctx)) { |
| 93 | ECerr(EC_F_ECDSA_SIGN_SETUP, |
| 94 | EC_R_RANDOM_NUMBER_GENERATION_FAILED); |
| 95 | goto err; |
| 96 | } |
| 97 | } else { |
| 98 | if (!BN_priv_rand_range(k, order)) { |
| 99 | ECerr(EC_F_ECDSA_SIGN_SETUP, |
| 100 | EC_R_RANDOM_NUMBER_GENERATION_FAILED); |
| 101 | goto err; |
| 102 | } |
| 103 | } |
| 104 | } while (BN_is_zero(k)); |
| 105 | |
| 106 | /* compute r the x-coordinate of generator * k */ |
| 107 | if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) { |
| 108 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); |
| 109 | goto err; |
| 110 | } |
| 111 | |
| 112 | if (!EC_POINT_get_affine_coordinates(group, tmp_point, X, NULL, ctx)) { |
| 113 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); |
| 114 | goto err; |
| 115 | } |
| 116 | |
| 117 | if (!BN_nnmod(r, X, order, ctx)) { |
| 118 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); |
| 119 | goto err; |
| 120 | } |
| 121 | } while (BN_is_zero(r)); |
| 122 | |
| 123 | /* compute the inverse of k */ |
| 124 | if (!ec_group_do_inverse_ord(group, k, k, ctx)) { |
| 125 | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); |
| 126 | goto err; |
| 127 | } |
| 128 | |
| 129 | /* clear old values if necessary */ |
| 130 | BN_clear_free(*rp); |
| 131 | BN_clear_free(*kinvp); |
| 132 | /* save the pre-computed values */ |
| 133 | *rp = r; |
| 134 | *kinvp = k; |
| 135 | ret = 1; |
| 136 | err: |
| 137 | if (!ret) { |
| 138 | BN_clear_free(k); |
| 139 | BN_clear_free(r); |
| 140 | } |
| 141 | if (ctx != ctx_in) |
| 142 | BN_CTX_free(ctx); |
| 143 | EC_POINT_free(tmp_point); |
| 144 | BN_clear_free(X); |
| 145 | return ret; |
| 146 | } |
| 147 | |
| 148 | int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, |
| 149 | BIGNUM **rp) |
| 150 | { |
| 151 | return ecdsa_sign_setup(eckey, ctx_in, kinvp, rp, NULL, 0); |
| 152 | } |
| 153 | |
| 154 | ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len, |
| 155 | const BIGNUM *in_kinv, const BIGNUM *in_r, |
| 156 | EC_KEY *eckey) |
| 157 | { |
| 158 | int ok = 0, i; |
| 159 | BIGNUM *kinv = NULL, *s, *m = NULL; |
| 160 | const BIGNUM *order, *ckinv; |
| 161 | BN_CTX *ctx = NULL; |
| 162 | const EC_GROUP *group; |
| 163 | ECDSA_SIG *ret; |
| 164 | const BIGNUM *priv_key; |
| 165 | |
| 166 | group = EC_KEY_get0_group(eckey); |
| 167 | priv_key = EC_KEY_get0_private_key(eckey); |
| 168 | |
| 169 | if (group == NULL) { |
| 170 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_PASSED_NULL_PARAMETER); |
| 171 | return NULL; |
| 172 | } |
| 173 | if (priv_key == NULL) { |
| 174 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_MISSING_PRIVATE_KEY); |
| 175 | return NULL; |
| 176 | } |
| 177 | |
| 178 | if (!EC_KEY_can_sign(eckey)) { |
| 179 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); |
| 180 | return NULL; |
| 181 | } |
| 182 | |
| 183 | ret = ECDSA_SIG_new(); |
| 184 | if (ret == NULL) { |
| 185 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); |
| 186 | return NULL; |
| 187 | } |
| 188 | ret->r = BN_new(); |
| 189 | ret->s = BN_new(); |
| 190 | if (ret->r == NULL || ret->s == NULL) { |
| 191 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); |
| 192 | goto err; |
| 193 | } |
| 194 | s = ret->s; |
| 195 | |
| 196 | if ((ctx = BN_CTX_new()) == NULL |
| 197 | || (m = BN_new()) == NULL) { |
| 198 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); |
| 199 | goto err; |
| 200 | } |
| 201 | |
| 202 | order = EC_GROUP_get0_order(group); |
| 203 | i = BN_num_bits(order); |
| 204 | /* |
| 205 | * Need to truncate digest if it is too long: first truncate whole bytes. |
| 206 | */ |
| 207 | if (8 * dgst_len > i) |
| 208 | dgst_len = (i + 7) / 8; |
| 209 | if (!BN_bin2bn(dgst, dgst_len, m)) { |
| 210 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); |
| 211 | goto err; |
| 212 | } |
| 213 | /* If still too long, truncate remaining bits with a shift */ |
| 214 | if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { |
| 215 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); |
| 216 | goto err; |
| 217 | } |
| 218 | do { |
| 219 | if (in_kinv == NULL || in_r == NULL) { |
| 220 | if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, dgst, dgst_len)) { |
| 221 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_ECDSA_LIB); |
| 222 | goto err; |
| 223 | } |
| 224 | ckinv = kinv; |
| 225 | } else { |
| 226 | ckinv = in_kinv; |
| 227 | if (BN_copy(ret->r, in_r) == NULL) { |
| 228 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); |
| 229 | goto err; |
| 230 | } |
| 231 | } |
| 232 | |
| 233 | /* |
| 234 | * With only one multiplicant being in Montgomery domain |
| 235 | * multiplication yields real result without post-conversion. |
| 236 | * Also note that all operations but last are performed with |
| 237 | * zero-padded vectors. Last operation, BN_mod_mul_montgomery |
| 238 | * below, returns user-visible value with removed zero padding. |
| 239 | */ |
| 240 | if (!bn_to_mont_fixed_top(s, ret->r, group->mont_data, ctx) |
| 241 | || !bn_mul_mont_fixed_top(s, s, priv_key, group->mont_data, ctx)) { |
| 242 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); |
| 243 | goto err; |
| 244 | } |
| 245 | if (!bn_mod_add_fixed_top(s, s, m, order)) { |
| 246 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); |
| 247 | goto err; |
| 248 | } |
| 249 | /* |
| 250 | * |s| can still be larger than modulus, because |m| can be. In |
| 251 | * such case we count on Montgomery reduction to tie it up. |
| 252 | */ |
| 253 | if (!bn_to_mont_fixed_top(s, s, group->mont_data, ctx) |
| 254 | || !BN_mod_mul_montgomery(s, s, ckinv, group->mont_data, ctx)) { |
| 255 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); |
| 256 | goto err; |
| 257 | } |
| 258 | |
| 259 | if (BN_is_zero(s)) { |
| 260 | /* |
| 261 | * if kinv and r have been supplied by the caller, don't |
| 262 | * generate new kinv and r values |
| 263 | */ |
| 264 | if (in_kinv != NULL && in_r != NULL) { |
| 265 | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_NEED_NEW_SETUP_VALUES); |
| 266 | goto err; |
| 267 | } |
| 268 | } else { |
| 269 | /* s != 0 => we have a valid signature */ |
| 270 | break; |
| 271 | } |
| 272 | } while (1); |
| 273 | |
| 274 | ok = 1; |
| 275 | err: |
| 276 | if (!ok) { |
| 277 | ECDSA_SIG_free(ret); |
| 278 | ret = NULL; |
| 279 | } |
| 280 | BN_CTX_free(ctx); |
| 281 | BN_clear_free(m); |
| 282 | BN_clear_free(kinv); |
| 283 | return ret; |
| 284 | } |
| 285 | |
| 286 | /*- |
| 287 | * returns |
| 288 | * 1: correct signature |
| 289 | * 0: incorrect signature |
| 290 | * -1: error |
| 291 | */ |
| 292 | int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len, |
| 293 | const unsigned char *sigbuf, int sig_len, EC_KEY *eckey) |
| 294 | { |
| 295 | ECDSA_SIG *s; |
| 296 | const unsigned char *p = sigbuf; |
| 297 | unsigned char *der = NULL; |
| 298 | int derlen = -1; |
| 299 | int ret = -1; |
| 300 | |
| 301 | s = ECDSA_SIG_new(); |
| 302 | if (s == NULL) |
| 303 | return ret; |
| 304 | if (d2i_ECDSA_SIG(&s, &p, sig_len) == NULL) |
| 305 | goto err; |
| 306 | /* Ensure signature uses DER and doesn't have trailing garbage */ |
| 307 | derlen = i2d_ECDSA_SIG(s, &der); |
| 308 | if (derlen != sig_len || memcmp(sigbuf, der, derlen) != 0) |
| 309 | goto err; |
| 310 | ret = ECDSA_do_verify(dgst, dgst_len, s, eckey); |
| 311 | err: |
| 312 | OPENSSL_free(der); |
| 313 | ECDSA_SIG_free(s); |
| 314 | return ret; |
| 315 | } |
| 316 | |
| 317 | int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len, |
| 318 | const ECDSA_SIG *sig, EC_KEY *eckey) |
| 319 | { |
| 320 | int ret = -1, i; |
| 321 | BN_CTX *ctx; |
| 322 | const BIGNUM *order; |
| 323 | BIGNUM *u1, *u2, *m, *X; |
| 324 | EC_POINT *point = NULL; |
| 325 | const EC_GROUP *group; |
| 326 | const EC_POINT *pub_key; |
| 327 | |
| 328 | /* check input values */ |
| 329 | if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL || |
| 330 | (pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) { |
| 331 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_MISSING_PARAMETERS); |
| 332 | return -1; |
| 333 | } |
| 334 | |
| 335 | if (!EC_KEY_can_sign(eckey)) { |
| 336 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); |
| 337 | return -1; |
| 338 | } |
| 339 | |
| 340 | ctx = BN_CTX_new(); |
| 341 | if (ctx == NULL) { |
| 342 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE); |
| 343 | return -1; |
| 344 | } |
| 345 | BN_CTX_start(ctx); |
| 346 | u1 = BN_CTX_get(ctx); |
| 347 | u2 = BN_CTX_get(ctx); |
| 348 | m = BN_CTX_get(ctx); |
| 349 | X = BN_CTX_get(ctx); |
| 350 | if (X == NULL) { |
| 351 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); |
| 352 | goto err; |
| 353 | } |
| 354 | |
| 355 | order = EC_GROUP_get0_order(group); |
| 356 | if (order == NULL) { |
| 357 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); |
| 358 | goto err; |
| 359 | } |
| 360 | |
| 361 | if (BN_is_zero(sig->r) || BN_is_negative(sig->r) || |
| 362 | BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) || |
| 363 | BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) { |
| 364 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_BAD_SIGNATURE); |
| 365 | ret = 0; /* signature is invalid */ |
| 366 | goto err; |
| 367 | } |
| 368 | /* calculate tmp1 = inv(S) mod order */ |
| 369 | if (!ec_group_do_inverse_ord(group, u2, sig->s, ctx)) { |
| 370 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); |
| 371 | goto err; |
| 372 | } |
| 373 | /* digest -> m */ |
| 374 | i = BN_num_bits(order); |
| 375 | /* |
| 376 | * Need to truncate digest if it is too long: first truncate whole bytes. |
| 377 | */ |
| 378 | if (8 * dgst_len > i) |
| 379 | dgst_len = (i + 7) / 8; |
| 380 | if (!BN_bin2bn(dgst, dgst_len, m)) { |
| 381 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); |
| 382 | goto err; |
| 383 | } |
| 384 | /* If still too long truncate remaining bits with a shift */ |
| 385 | if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { |
| 386 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); |
| 387 | goto err; |
| 388 | } |
| 389 | /* u1 = m * tmp mod order */ |
| 390 | if (!BN_mod_mul(u1, m, u2, order, ctx)) { |
| 391 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); |
| 392 | goto err; |
| 393 | } |
| 394 | /* u2 = r * w mod q */ |
| 395 | if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) { |
| 396 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); |
| 397 | goto err; |
| 398 | } |
| 399 | |
| 400 | if ((point = EC_POINT_new(group)) == NULL) { |
| 401 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE); |
| 402 | goto err; |
| 403 | } |
| 404 | if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) { |
| 405 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); |
| 406 | goto err; |
| 407 | } |
| 408 | |
| 409 | if (!EC_POINT_get_affine_coordinates(group, point, X, NULL, ctx)) { |
| 410 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); |
| 411 | goto err; |
| 412 | } |
| 413 | |
| 414 | if (!BN_nnmod(u1, X, order, ctx)) { |
| 415 | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); |
| 416 | goto err; |
| 417 | } |
| 418 | /* if the signature is correct u1 is equal to sig->r */ |
| 419 | ret = (BN_ucmp(u1, sig->r) == 0); |
| 420 | err: |
| 421 | BN_CTX_end(ctx); |
| 422 | BN_CTX_free(ctx); |
| 423 | EC_POINT_free(point); |
| 424 | return ret; |
| 425 | } |