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/* $OpenBSD: dh_gen.c,v 1.16 2017/01/29 17:49:22 beck Exp $ */ |
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/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) |
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* All rights reserved. |
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* |
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* This package is an SSL implementation written |
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* by Eric Young (eay@cryptsoft.com). |
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* The implementation was written so as to conform with Netscapes SSL. |
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* |
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* This library is free for commercial and non-commercial use as long as |
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* the following conditions are aheared to. The following conditions |
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* apply to all code found in this distribution, be it the RC4, RSA, |
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* lhash, DES, etc., code; not just the SSL code. The SSL documentation |
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* included with this distribution is covered by the same copyright terms |
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* except that the holder is Tim Hudson (tjh@cryptsoft.com). |
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* |
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* Copyright remains Eric Young's, and as such any Copyright notices in |
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* the code are not to be removed. |
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* If this package is used in a product, Eric Young should be given attribution |
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* as the author of the parts of the library used. |
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* This can be in the form of a textual message at program startup or |
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* in documentation (online or textual) provided with the package. |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* 1. Redistributions of source code must retain the copyright |
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* notice, this list of conditions and the following disclaimer. |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in the |
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* documentation and/or other materials provided with the distribution. |
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* 3. All advertising materials mentioning features or use of this software |
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* must display the following acknowledgement: |
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* "This product includes cryptographic software written by |
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* Eric Young (eay@cryptsoft.com)" |
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* The word 'cryptographic' can be left out if the rouines from the library |
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* being used are not cryptographic related :-). |
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* 4. If you include any Windows specific code (or a derivative thereof) from |
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* the apps directory (application code) you must include an acknowledgement: |
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* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" |
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* |
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* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND |
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
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* SUCH DAMAGE. |
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* |
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* The licence and distribution terms for any publically available version or |
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* derivative of this code cannot be changed. i.e. this code cannot simply be |
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* copied and put under another distribution licence |
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* [including the GNU Public Licence.] |
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*/ |
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/* NB: These functions have been upgraded - the previous prototypes are in |
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* dh_depr.c as wrappers to these ones. |
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* - Geoff |
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*/ |
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#include <stdio.h> |
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#include <openssl/bn.h> |
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#include <openssl/dh.h> |
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#include <openssl/err.h> |
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static int dh_builtin_genparams(DH *ret, int prime_len, int generator, |
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BN_GENCB *cb); |
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int |
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DH_generate_parameters_ex(DH *ret, int prime_len, int generator, BN_GENCB *cb) |
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{ |
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✗✓ |
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if (ret->meth->generate_params) |
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return ret->meth->generate_params(ret, prime_len, generator, cb); |
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return dh_builtin_genparams(ret, prime_len, generator, cb); |
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} |
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/* |
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* We generate DH parameters as follows: |
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* find a prime q which is prime_len/2 bits long. |
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* p=(2*q)+1 or (p-1)/2 = q |
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* For this case, g is a generator if |
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* g^((p-1)/q) mod p != 1 for values of q which are the factors of p-1. |
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* Since the factors of p-1 are q and 2, we just need to check |
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* g^2 mod p != 1 and g^q mod p != 1. |
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* |
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* Having said all that, |
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* there is another special case method for the generators 2, 3 and 5. |
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* for 2, p mod 24 == 11 |
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* for 3, p mod 12 == 5 <<<<< does not work for safe primes. |
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* for 5, p mod 10 == 3 or 7 |
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* |
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* Thanks to Phil Karn <karn@qualcomm.com> for the pointers about the |
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* special generators and for answering some of my questions. |
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* |
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* I've implemented the second simple method :-). |
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* Since DH should be using a safe prime (both p and q are prime), |
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* this generator function can take a very very long time to run. |
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*/ |
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/* Actually there is no reason to insist that 'generator' be a generator. |
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* It's just as OK (and in some sense better) to use a generator of the |
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* order-q subgroup. |
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*/ |
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static int |
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dh_builtin_genparams(DH *ret, int prime_len, int generator, BN_GENCB *cb) |
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{ |
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BIGNUM *t1, *t2; |
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int g, ok = -1; |
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BN_CTX *ctx = NULL; |
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ctx = BN_CTX_new(); |
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✓✗ |
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if (ctx == NULL) |
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goto err; |
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BN_CTX_start(ctx); |
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✓✗ |
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if ((t1 = BN_CTX_get(ctx)) == NULL) |
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goto err; |
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✓✗ |
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if ((t2 = BN_CTX_get(ctx)) == NULL) |
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goto err; |
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/* Make sure 'ret' has the necessary elements */ |
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✓✗✓✗
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if (!ret->p && ((ret->p = BN_new()) == NULL)) |
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goto err; |
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✓✗✓✗
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if (!ret->g && ((ret->g = BN_new()) == NULL)) |
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goto err; |
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✗✓ |
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if (generator <= 1) { |
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DHerror(DH_R_BAD_GENERATOR); |
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goto err; |
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} |
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✓✓ |
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if (generator == DH_GENERATOR_2) { |
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✓✗ |
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if (!BN_set_word(t1, 24)) |
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goto err; |
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✓✗ |
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if (!BN_set_word(t2, 11)) |
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goto err; |
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g = 2; |
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✓✗ |
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} else if (generator == DH_GENERATOR_5) { |
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✓✗ |
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if (!BN_set_word(t1, 10)) |
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goto err; |
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✓✗ |
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if (!BN_set_word(t2, 3)) |
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goto err; |
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/* BN_set_word(t3,7); just have to miss |
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* out on these ones :-( */ |
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g = 5; |
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} else { |
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/* |
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* in the general case, don't worry if 'generator' is a |
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* generator or not: since we are using safe primes, |
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* it will generate either an order-q or an order-2q group, |
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* which both is OK |
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*/ |
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if (!BN_set_word(t1, 2)) |
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goto err; |
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if (!BN_set_word(t2, 1)) |
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goto err; |
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g = generator; |
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} |
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✓✗ |
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if (!BN_generate_prime_ex(ret->p, prime_len, 1, t1, t2, cb)) |
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goto err; |
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✓✗ |
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if (!BN_GENCB_call(cb, 3, 0)) |
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goto err; |
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✓✗ |
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if (!BN_set_word(ret->g, g)) |
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goto err; |
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ok = 1; |
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err: |
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✗✓ |
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if (ok == -1) { |
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DHerror(ERR_R_BN_LIB); |
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ok = 0; |
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} |
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✓✗ |
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if (ctx != NULL) { |
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BN_CTX_end(ctx); |
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BN_CTX_free(ctx); |
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} |
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return ok; |
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} |