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| author | cvs2svn <admin@example.com> | 2011-02-12 15:54:19 +0000 |
|---|---|---|
| committer | cvs2svn <admin@example.com> | 2011-02-12 15:54:19 +0000 |
| commit | f01f837ce3a9db0dbe6799caba130b35c63a5c32 (patch) | |
| tree | 26cf8fda7724fe56961aa26b7da50db9634c08a2 /src/lib/libcrypto/dsa/dsa_ossl.c | |
| parent | 6ed6984480044de43dd93380f4475033ba8cd945 (diff) | |
| download | openbsd-OPENBSD_4_9_BASE.tar.gz openbsd-OPENBSD_4_9_BASE.tar.bz2 openbsd-OPENBSD_4_9_BASE.zip | |
This commit was manufactured by cvs2git to create tag 'OPENBSD_4_9_BASE'.OPENBSD_4_9_BASE
Diffstat (limited to 'src/lib/libcrypto/dsa/dsa_ossl.c')
| -rw-r--r-- | src/lib/libcrypto/dsa/dsa_ossl.c | 416 |
1 files changed, 0 insertions, 416 deletions
diff --git a/src/lib/libcrypto/dsa/dsa_ossl.c b/src/lib/libcrypto/dsa/dsa_ossl.c deleted file mode 100644 index 4fead07e80..0000000000 --- a/src/lib/libcrypto/dsa/dsa_ossl.c +++ /dev/null | |||
| @@ -1,416 +0,0 @@ | |||
| 1 | /* crypto/dsa/dsa_ossl.c */ | ||
| 2 | /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) | ||
| 3 | * All rights reserved. | ||
| 4 | * | ||
| 5 | * This package is an SSL implementation written | ||
| 6 | * by Eric Young (eay@cryptsoft.com). | ||
| 7 | * The implementation was written so as to conform with Netscapes SSL. | ||
| 8 | * | ||
| 9 | * This library is free for commercial and non-commercial use as long as | ||
| 10 | * the following conditions are aheared to. The following conditions | ||
| 11 | * apply to all code found in this distribution, be it the RC4, RSA, | ||
| 12 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation | ||
| 13 | * included with this distribution is covered by the same copyright terms | ||
| 14 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). | ||
| 15 | * | ||
| 16 | * Copyright remains Eric Young's, and as such any Copyright notices in | ||
| 17 | * the code are not to be removed. | ||
| 18 | * If this package is used in a product, Eric Young should be given attribution | ||
| 19 | * as the author of the parts of the library used. | ||
| 20 | * This can be in the form of a textual message at program startup or | ||
| 21 | * in documentation (online or textual) provided with the package. | ||
| 22 | * | ||
| 23 | * Redistribution and use in source and binary forms, with or without | ||
| 24 | * modification, are permitted provided that the following conditions | ||
| 25 | * are met: | ||
| 26 | * 1. Redistributions of source code must retain the copyright | ||
| 27 | * notice, this list of conditions and the following disclaimer. | ||
| 28 | * 2. Redistributions in binary form must reproduce the above copyright | ||
| 29 | * notice, this list of conditions and the following disclaimer in the | ||
| 30 | * documentation and/or other materials provided with the distribution. | ||
| 31 | * 3. All advertising materials mentioning features or use of this software | ||
| 32 | * must display the following acknowledgement: | ||
| 33 | * "This product includes cryptographic software written by | ||
| 34 | * Eric Young (eay@cryptsoft.com)" | ||
| 35 | * The word 'cryptographic' can be left out if the rouines from the library | ||
| 36 | * being used are not cryptographic related :-). | ||
| 37 | * 4. If you include any Windows specific code (or a derivative thereof) from | ||
| 38 | * the apps directory (application code) you must include an acknowledgement: | ||
| 39 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | ||
| 40 | * | ||
| 41 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | ||
| 42 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
| 43 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
| 44 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | ||
| 45 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | ||
| 46 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | ||
| 47 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | ||
| 48 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | ||
| 49 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | ||
| 50 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | ||
| 51 | * SUCH DAMAGE. | ||
| 52 | * | ||
| 53 | * The licence and distribution terms for any publically available version or | ||
| 54 | * derivative of this code cannot be changed. i.e. this code cannot simply be | ||
| 55 | * copied and put under another distribution licence | ||
| 56 | * [including the GNU Public Licence.] | ||
| 57 | */ | ||
| 58 | |||
| 59 | /* Original version from Steven Schoch <schoch@sheba.arc.nasa.gov> */ | ||
| 60 | |||
| 61 | #include <stdio.h> | ||
| 62 | #include "cryptlib.h" | ||
| 63 | #include <openssl/bn.h> | ||
| 64 | #include <openssl/sha.h> | ||
| 65 | #include <openssl/dsa.h> | ||
| 66 | #include <openssl/rand.h> | ||
| 67 | #include <openssl/asn1.h> | ||
| 68 | |||
| 69 | static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa); | ||
| 70 | static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp); | ||
| 71 | static int dsa_do_verify(const unsigned char *dgst, int dgst_len, DSA_SIG *sig, | ||
| 72 | DSA *dsa); | ||
| 73 | static int dsa_init(DSA *dsa); | ||
| 74 | static int dsa_finish(DSA *dsa); | ||
| 75 | |||
| 76 | static DSA_METHOD openssl_dsa_meth = { | ||
| 77 | "OpenSSL DSA method", | ||
| 78 | dsa_do_sign, | ||
| 79 | dsa_sign_setup, | ||
| 80 | dsa_do_verify, | ||
| 81 | NULL, /* dsa_mod_exp, */ | ||
| 82 | NULL, /* dsa_bn_mod_exp, */ | ||
| 83 | dsa_init, | ||
| 84 | dsa_finish, | ||
| 85 | 0, | ||
| 86 | NULL, | ||
| 87 | NULL, | ||
| 88 | NULL | ||
| 89 | }; | ||
| 90 | |||
| 91 | /* These macro wrappers replace attempts to use the dsa_mod_exp() and | ||
| 92 | * bn_mod_exp() handlers in the DSA_METHOD structure. We avoid the problem of | ||
| 93 | * having a the macro work as an expression by bundling an "err_instr". So; | ||
| 94 | * | ||
| 95 | * if (!dsa->meth->bn_mod_exp(dsa, r,dsa->g,&k,dsa->p,ctx, | ||
| 96 | * dsa->method_mont_p)) goto err; | ||
| 97 | * | ||
| 98 | * can be replaced by; | ||
| 99 | * | ||
| 100 | * DSA_BN_MOD_EXP(goto err, dsa, r, dsa->g, &k, dsa->p, ctx, | ||
| 101 | * dsa->method_mont_p); | ||
| 102 | */ | ||
| 103 | |||
| 104 | #define DSA_MOD_EXP(err_instr,dsa,rr,a1,p1,a2,p2,m,ctx,in_mont) \ | ||
| 105 | do { \ | ||
| 106 | int _tmp_res53; \ | ||
| 107 | if((dsa)->meth->dsa_mod_exp) \ | ||
| 108 | _tmp_res53 = (dsa)->meth->dsa_mod_exp((dsa), (rr), (a1), (p1), \ | ||
| 109 | (a2), (p2), (m), (ctx), (in_mont)); \ | ||
| 110 | else \ | ||
| 111 | _tmp_res53 = BN_mod_exp2_mont((rr), (a1), (p1), (a2), (p2), \ | ||
| 112 | (m), (ctx), (in_mont)); \ | ||
| 113 | if(!_tmp_res53) err_instr; \ | ||
| 114 | } while(0) | ||
| 115 | #define DSA_BN_MOD_EXP(err_instr,dsa,r,a,p,m,ctx,m_ctx) \ | ||
| 116 | do { \ | ||
| 117 | int _tmp_res53; \ | ||
| 118 | if((dsa)->meth->bn_mod_exp) \ | ||
| 119 | _tmp_res53 = (dsa)->meth->bn_mod_exp((dsa), (r), (a), (p), \ | ||
| 120 | (m), (ctx), (m_ctx)); \ | ||
| 121 | else \ | ||
| 122 | _tmp_res53 = BN_mod_exp_mont((r), (a), (p), (m), (ctx), (m_ctx)); \ | ||
| 123 | if(!_tmp_res53) err_instr; \ | ||
| 124 | } while(0) | ||
| 125 | |||
| 126 | const DSA_METHOD *DSA_OpenSSL(void) | ||
| 127 | { | ||
| 128 | return &openssl_dsa_meth; | ||
| 129 | } | ||
| 130 | |||
| 131 | static DSA_SIG *dsa_do_sign(const unsigned char *dgst, int dlen, DSA *dsa) | ||
| 132 | { | ||
| 133 | BIGNUM *kinv=NULL,*r=NULL,*s=NULL; | ||
| 134 | BIGNUM m; | ||
| 135 | BIGNUM xr; | ||
| 136 | BN_CTX *ctx=NULL; | ||
| 137 | int reason=ERR_R_BN_LIB; | ||
| 138 | DSA_SIG *ret=NULL; | ||
| 139 | |||
| 140 | BN_init(&m); | ||
| 141 | BN_init(&xr); | ||
| 142 | |||
| 143 | if (!dsa->p || !dsa->q || !dsa->g) | ||
| 144 | { | ||
| 145 | reason=DSA_R_MISSING_PARAMETERS; | ||
| 146 | goto err; | ||
| 147 | } | ||
| 148 | |||
| 149 | s=BN_new(); | ||
| 150 | if (s == NULL) goto err; | ||
| 151 | |||
| 152 | /* reject a excessive digest length (currently at most | ||
| 153 | * dsa-with-SHA256 is supported) */ | ||
| 154 | if (dlen > SHA256_DIGEST_LENGTH) | ||
| 155 | { | ||
| 156 | reason=DSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE; | ||
| 157 | goto err; | ||
| 158 | } | ||
| 159 | |||
| 160 | ctx=BN_CTX_new(); | ||
| 161 | if (ctx == NULL) goto err; | ||
| 162 | |||
| 163 | if ((dsa->kinv == NULL) || (dsa->r == NULL)) | ||
| 164 | { | ||
| 165 | if (!DSA_sign_setup(dsa,ctx,&kinv,&r)) goto err; | ||
| 166 | } | ||
| 167 | else | ||
| 168 | { | ||
| 169 | kinv=dsa->kinv; | ||
| 170 | dsa->kinv=NULL; | ||
| 171 | r=dsa->r; | ||
| 172 | dsa->r=NULL; | ||
| 173 | } | ||
| 174 | |||
| 175 | |||
| 176 | if (dlen > BN_num_bytes(dsa->q)) | ||
| 177 | /* if the digest length is greater than the size of q use the | ||
| 178 | * BN_num_bits(dsa->q) leftmost bits of the digest, see | ||
| 179 | * fips 186-3, 4.2 */ | ||
| 180 | dlen = BN_num_bytes(dsa->q); | ||
| 181 | if (BN_bin2bn(dgst,dlen,&m) == NULL) | ||
| 182 | goto err; | ||
| 183 | |||
| 184 | /* Compute s = inv(k) (m + xr) mod q */ | ||
| 185 | if (!BN_mod_mul(&xr,dsa->priv_key,r,dsa->q,ctx)) goto err;/* s = xr */ | ||
| 186 | if (!BN_add(s, &xr, &m)) goto err; /* s = m + xr */ | ||
| 187 | if (BN_cmp(s,dsa->q) > 0) | ||
| 188 | BN_sub(s,s,dsa->q); | ||
| 189 | if (!BN_mod_mul(s,s,kinv,dsa->q,ctx)) goto err; | ||
| 190 | |||
| 191 | ret=DSA_SIG_new(); | ||
| 192 | if (ret == NULL) goto err; | ||
| 193 | ret->r = r; | ||
| 194 | ret->s = s; | ||
| 195 | |||
| 196 | err: | ||
| 197 | if (!ret) | ||
| 198 | { | ||
| 199 | DSAerr(DSA_F_DSA_DO_SIGN,reason); | ||
| 200 | BN_free(r); | ||
| 201 | BN_free(s); | ||
| 202 | } | ||
| 203 | if (ctx != NULL) BN_CTX_free(ctx); | ||
| 204 | BN_clear_free(&m); | ||
| 205 | BN_clear_free(&xr); | ||
| 206 | if (kinv != NULL) /* dsa->kinv is NULL now if we used it */ | ||
| 207 | BN_clear_free(kinv); | ||
| 208 | return(ret); | ||
| 209 | } | ||
| 210 | |||
| 211 | static int dsa_sign_setup(DSA *dsa, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp) | ||
| 212 | { | ||
| 213 | BN_CTX *ctx; | ||
| 214 | BIGNUM k,kq,*K,*kinv=NULL,*r=NULL; | ||
| 215 | int ret=0; | ||
| 216 | |||
| 217 | if (!dsa->p || !dsa->q || !dsa->g) | ||
| 218 | { | ||
| 219 | DSAerr(DSA_F_DSA_SIGN_SETUP,DSA_R_MISSING_PARAMETERS); | ||
| 220 | return 0; | ||
| 221 | } | ||
| 222 | |||
| 223 | BN_init(&k); | ||
| 224 | BN_init(&kq); | ||
| 225 | |||
| 226 | if (ctx_in == NULL) | ||
| 227 | { | ||
| 228 | if ((ctx=BN_CTX_new()) == NULL) goto err; | ||
| 229 | } | ||
| 230 | else | ||
| 231 | ctx=ctx_in; | ||
| 232 | |||
| 233 | if ((r=BN_new()) == NULL) goto err; | ||
| 234 | |||
| 235 | /* Get random k */ | ||
| 236 | do | ||
| 237 | if (!BN_rand_range(&k, dsa->q)) goto err; | ||
| 238 | while (BN_is_zero(&k)); | ||
| 239 | if ((dsa->flags & DSA_FLAG_NO_EXP_CONSTTIME) == 0) | ||
| 240 | { | ||
| 241 | BN_set_flags(&k, BN_FLG_CONSTTIME); | ||
| 242 | } | ||
| 243 | |||
| 244 | if (dsa->flags & DSA_FLAG_CACHE_MONT_P) | ||
| 245 | { | ||
| 246 | if (!BN_MONT_CTX_set_locked(&dsa->method_mont_p, | ||
| 247 | CRYPTO_LOCK_DSA, | ||
| 248 | dsa->p, ctx)) | ||
| 249 | goto err; | ||
| 250 | } | ||
| 251 | |||
| 252 | /* Compute r = (g^k mod p) mod q */ | ||
| 253 | |||
| 254 | if ((dsa->flags & DSA_FLAG_NO_EXP_CONSTTIME) == 0) | ||
| 255 | { | ||
| 256 | if (!BN_copy(&kq, &k)) goto err; | ||
| 257 | |||
| 258 | /* We do not want timing information to leak the length of k, | ||
| 259 | * so we compute g^k using an equivalent exponent of fixed length. | ||
| 260 | * | ||
| 261 | * (This is a kludge that we need because the BN_mod_exp_mont() | ||
| 262 | * does not let us specify the desired timing behaviour.) */ | ||
| 263 | |||
| 264 | if (!BN_add(&kq, &kq, dsa->q)) goto err; | ||
| 265 | if (BN_num_bits(&kq) <= BN_num_bits(dsa->q)) | ||
| 266 | { | ||
| 267 | if (!BN_add(&kq, &kq, dsa->q)) goto err; | ||
| 268 | } | ||
| 269 | |||
| 270 | K = &kq; | ||
| 271 | } | ||
| 272 | else | ||
| 273 | { | ||
| 274 | K = &k; | ||
| 275 | } | ||
| 276 | DSA_BN_MOD_EXP(goto err, dsa, r, dsa->g, K, dsa->p, ctx, | ||
| 277 | dsa->method_mont_p); | ||
| 278 | if (!BN_mod(r,r,dsa->q,ctx)) goto err; | ||
| 279 | |||
| 280 | /* Compute part of 's = inv(k) (m + xr) mod q' */ | ||
| 281 | if ((kinv=BN_mod_inverse(NULL,&k,dsa->q,ctx)) == NULL) goto err; | ||
| 282 | |||
| 283 | if (*kinvp != NULL) BN_clear_free(*kinvp); | ||
| 284 | *kinvp=kinv; | ||
| 285 | kinv=NULL; | ||
| 286 | if (*rp != NULL) BN_clear_free(*rp); | ||
| 287 | *rp=r; | ||
| 288 | ret=1; | ||
| 289 | err: | ||
| 290 | if (!ret) | ||
| 291 | { | ||
| 292 | DSAerr(DSA_F_DSA_SIGN_SETUP,ERR_R_BN_LIB); | ||
| 293 | if (r != NULL) | ||
| 294 | BN_clear_free(r); | ||
| 295 | } | ||
| 296 | if (ctx_in == NULL) BN_CTX_free(ctx); | ||
| 297 | BN_clear_free(&k); | ||
| 298 | BN_clear_free(&kq); | ||
| 299 | return(ret); | ||
| 300 | } | ||
| 301 | |||
| 302 | static int dsa_do_verify(const unsigned char *dgst, int dgst_len, DSA_SIG *sig, | ||
| 303 | DSA *dsa) | ||
| 304 | { | ||
| 305 | BN_CTX *ctx; | ||
| 306 | BIGNUM u1,u2,t1; | ||
| 307 | BN_MONT_CTX *mont=NULL; | ||
| 308 | int ret = -1, i; | ||
| 309 | if (!dsa->p || !dsa->q || !dsa->g) | ||
| 310 | { | ||
| 311 | DSAerr(DSA_F_DSA_DO_VERIFY,DSA_R_MISSING_PARAMETERS); | ||
| 312 | return -1; | ||
| 313 | } | ||
| 314 | |||
| 315 | i = BN_num_bits(dsa->q); | ||
| 316 | /* fips 186-3 allows only different sizes for q */ | ||
| 317 | if (i != 160 && i != 224 && i != 256) | ||
| 318 | { | ||
| 319 | DSAerr(DSA_F_DSA_DO_VERIFY,DSA_R_BAD_Q_VALUE); | ||
| 320 | return -1; | ||
| 321 | } | ||
| 322 | |||
| 323 | if (BN_num_bits(dsa->p) > OPENSSL_DSA_MAX_MODULUS_BITS) | ||
| 324 | { | ||
| 325 | DSAerr(DSA_F_DSA_DO_VERIFY,DSA_R_MODULUS_TOO_LARGE); | ||
| 326 | return -1; | ||
| 327 | } | ||
| 328 | |||
| 329 | /* reject a excessive digest length (currently at most | ||
| 330 | * dsa-with-SHA256 is supported) */ | ||
| 331 | if (dgst_len > SHA256_DIGEST_LENGTH) | ||
| 332 | { | ||
| 333 | DSAerr(DSA_F_DSA_DO_VERIFY,DSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); | ||
| 334 | return -1; | ||
| 335 | } | ||
| 336 | |||
| 337 | BN_init(&u1); | ||
| 338 | BN_init(&u2); | ||
| 339 | BN_init(&t1); | ||
| 340 | |||
| 341 | if ((ctx=BN_CTX_new()) == NULL) goto err; | ||
| 342 | |||
| 343 | if (BN_is_zero(sig->r) || BN_is_negative(sig->r) || | ||
| 344 | BN_ucmp(sig->r, dsa->q) >= 0) | ||
| 345 | { | ||
| 346 | ret = 0; | ||
| 347 | goto err; | ||
| 348 | } | ||
| 349 | if (BN_is_zero(sig->s) || BN_is_negative(sig->s) || | ||
| 350 | BN_ucmp(sig->s, dsa->q) >= 0) | ||
| 351 | { | ||
| 352 | ret = 0; | ||
| 353 | goto err; | ||
| 354 | } | ||
| 355 | |||
| 356 | /* Calculate W = inv(S) mod Q | ||
| 357 | * save W in u2 */ | ||
| 358 | if ((BN_mod_inverse(&u2,sig->s,dsa->q,ctx)) == NULL) goto err; | ||
| 359 | |||
| 360 | /* save M in u1 */ | ||
| 361 | if (dgst_len > (i >> 3)) | ||
| 362 | /* if the digest length is greater than the size of q use the | ||
| 363 | * BN_num_bits(dsa->q) leftmost bits of the digest, see | ||
| 364 | * fips 186-3, 4.2 */ | ||
| 365 | dgst_len = (i >> 3); | ||
| 366 | if (BN_bin2bn(dgst,dgst_len,&u1) == NULL) goto err; | ||
| 367 | |||
| 368 | /* u1 = M * w mod q */ | ||
| 369 | if (!BN_mod_mul(&u1,&u1,&u2,dsa->q,ctx)) goto err; | ||
| 370 | |||
| 371 | /* u2 = r * w mod q */ | ||
| 372 | if (!BN_mod_mul(&u2,sig->r,&u2,dsa->q,ctx)) goto err; | ||
| 373 | |||
| 374 | |||
| 375 | if (dsa->flags & DSA_FLAG_CACHE_MONT_P) | ||
| 376 | { | ||
| 377 | mont = BN_MONT_CTX_set_locked(&dsa->method_mont_p, | ||
| 378 | CRYPTO_LOCK_DSA, dsa->p, ctx); | ||
| 379 | if (!mont) | ||
| 380 | goto err; | ||
| 381 | } | ||
| 382 | |||
| 383 | |||
| 384 | DSA_MOD_EXP(goto err, dsa, &t1, dsa->g, &u1, dsa->pub_key, &u2, dsa->p, ctx, mont); | ||
| 385 | /* BN_copy(&u1,&t1); */ | ||
| 386 | /* let u1 = u1 mod q */ | ||
| 387 | if (!BN_mod(&u1,&t1,dsa->q,ctx)) goto err; | ||
| 388 | |||
| 389 | /* V is now in u1. If the signature is correct, it will be | ||
| 390 | * equal to R. */ | ||
| 391 | ret=(BN_ucmp(&u1, sig->r) == 0); | ||
| 392 | |||
| 393 | err: | ||
| 394 | /* XXX: surely this is wrong - if ret is 0, it just didn't verify; | ||
| 395 | there is no error in BN. Test should be ret == -1 (Ben) */ | ||
| 396 | if (ret != 1) DSAerr(DSA_F_DSA_DO_VERIFY,ERR_R_BN_LIB); | ||
| 397 | if (ctx != NULL) BN_CTX_free(ctx); | ||
| 398 | BN_free(&u1); | ||
| 399 | BN_free(&u2); | ||
| 400 | BN_free(&t1); | ||
| 401 | return(ret); | ||
| 402 | } | ||
| 403 | |||
| 404 | static int dsa_init(DSA *dsa) | ||
| 405 | { | ||
| 406 | dsa->flags|=DSA_FLAG_CACHE_MONT_P; | ||
| 407 | return(1); | ||
| 408 | } | ||
| 409 | |||
| 410 | static int dsa_finish(DSA *dsa) | ||
| 411 | { | ||
| 412 | if(dsa->method_mont_p) | ||
| 413 | BN_MONT_CTX_free(dsa->method_mont_p); | ||
| 414 | return(1); | ||
| 415 | } | ||
| 416 | |||
