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940d664def
source-engine/thirdparty/openssl/test/igetest.c
JusicP 940d664def Add thirdparty libs
2020-10-22 20:43:01 +03:00

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/* test/igetest.c */
/* ====================================================================
* Copyright (c) 2006 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* 3. All advertising materials mentioning features or use of this
* software must display the following acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
*
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
* endorse or promote products derived from this software without
* prior written permission. For written permission, please contact
* openssl-core@openssl.org.
*
* 5. Products derived from this software may not be called "OpenSSL"
* nor may "OpenSSL" appear in their names without prior written
* permission of the OpenSSL Project.
*
* 6. Redistributions of any form whatsoever must retain the following
* acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
*
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
* ====================================================================
*
*/
#include <openssl/aes.h>
#include <openssl/rand.h>
#include <stdio.h>
#include <string.h>
#include <assert.h>
#define TEST_SIZE 128
#define BIG_TEST_SIZE 10240
static void hexdump(FILE *f, const char *title, const unsigned char *s, int l)
{
int n = 0;
fprintf(f, "%s", title);
for (; n < l; ++n) {
if ((n % 16) == 0)
fprintf(f, "\n%04x", n);
fprintf(f, " %02x", s[n]);
}
fprintf(f, "\n");
}
#define MAX_VECTOR_SIZE 64
struct ige_test {
const unsigned char key[16];
const unsigned char iv[32];
const unsigned char in[MAX_VECTOR_SIZE];
const unsigned char out[MAX_VECTOR_SIZE];
const size_t length;
const int encrypt;
};
static struct ige_test const ige_test_vectors[] = {
{{0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f}, /* key */
{0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f}, /* iv */
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, /* in */
{0x1a, 0x85, 0x19, 0xa6, 0x55, 0x7b, 0xe6, 0x52,
0xe9, 0xda, 0x8e, 0x43, 0xda, 0x4e, 0xf4, 0x45,
0x3c, 0xf4, 0x56, 0xb4, 0xca, 0x48, 0x8a, 0xa3,
0x83, 0xc7, 0x9c, 0x98, 0xb3, 0x47, 0x97, 0xcb}, /* out */
32, AES_ENCRYPT}, /* test vector 0 */
{{0x54, 0x68, 0x69, 0x73, 0x20, 0x69, 0x73, 0x20,
0x61, 0x6e, 0x20, 0x69, 0x6d, 0x70, 0x6c, 0x65}, /* key */
{0x6d, 0x65, 0x6e, 0x74, 0x61, 0x74, 0x69, 0x6f,
0x6e, 0x20, 0x6f, 0x66, 0x20, 0x49, 0x47, 0x45,
0x20, 0x6d, 0x6f, 0x64, 0x65, 0x20, 0x66, 0x6f,
0x72, 0x20, 0x4f, 0x70, 0x65, 0x6e, 0x53, 0x53}, /* iv */
{0x4c, 0x2e, 0x20, 0x4c, 0x65, 0x74, 0x27, 0x73,
0x20, 0x68, 0x6f, 0x70, 0x65, 0x20, 0x42, 0x65,
0x6e, 0x20, 0x67, 0x6f, 0x74, 0x20, 0x69, 0x74,
0x20, 0x72, 0x69, 0x67, 0x68, 0x74, 0x21, 0x0a}, /* in */
{0x99, 0x70, 0x64, 0x87, 0xa1, 0xcd, 0xe6, 0x13,
0xbc, 0x6d, 0xe0, 0xb6, 0xf2, 0x4b, 0x1c, 0x7a,
0xa4, 0x48, 0xc8, 0xb9, 0xc3, 0x40, 0x3e, 0x34,
0x67, 0xa8, 0xca, 0xd8, 0x93, 0x40, 0xf5, 0x3b}, /* out */
32, AES_DECRYPT}, /* test vector 1 */
};
struct bi_ige_test {
const unsigned char key1[32];
const unsigned char key2[32];
const unsigned char iv[64];
const unsigned char in[MAX_VECTOR_SIZE];
const unsigned char out[MAX_VECTOR_SIZE];
const size_t keysize;
const size_t length;
const int encrypt;
};
static struct bi_ige_test const bi_ige_test_vectors[] = {
{{0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f}, /* key1 */
{0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f}, /* key2 */
{0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f,
0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27,
0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f,
0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37,
0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f}, /* iv */
{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, /* in */
{0x14, 0x40, 0x6f, 0xae, 0xa2, 0x79, 0xf2, 0x56,
0x1f, 0x86, 0xeb, 0x3b, 0x7d, 0xff, 0x53, 0xdc,
0x4e, 0x27, 0x0c, 0x03, 0xde, 0x7c, 0xe5, 0x16,
0x6a, 0x9c, 0x20, 0x33, 0x9d, 0x33, 0xfe, 0x12}, /* out */
16, 32, AES_ENCRYPT}, /* test vector 0 */
{{0x58, 0x0a, 0x06, 0xe9, 0x97, 0x07, 0x59, 0x5c,
0x9e, 0x19, 0xd2, 0xa7, 0xbb, 0x40, 0x2b, 0x7a,
0xc7, 0xd8, 0x11, 0x9e, 0x4c, 0x51, 0x35, 0x75,
0x64, 0x28, 0x0f, 0x23, 0xad, 0x74, 0xac, 0x37}, /* key1 */
{0xd1, 0x80, 0xa0, 0x31, 0x47, 0xa3, 0x11, 0x13,
0x86, 0x26, 0x9e, 0x6d, 0xff, 0xaf, 0x72, 0x74,
0x5b, 0xa2, 0x35, 0x81, 0xd2, 0xa6, 0x3d, 0x21,
0x67, 0x7b, 0x58, 0xa8, 0x18, 0xf9, 0x72, 0xe4}, /* key2 */
{0x80, 0x3d, 0xbd, 0x4c, 0xe6, 0x7b, 0x06, 0xa9,
0x53, 0x35, 0xd5, 0x7e, 0x71, 0xc1, 0x70, 0x70,
0x74, 0x9a, 0x00, 0x28, 0x0c, 0xbf, 0x6c, 0x42,
0x9b, 0xa4, 0xdd, 0x65, 0x11, 0x77, 0x7c, 0x67,
0xfe, 0x76, 0x0a, 0xf0, 0xd5, 0xc6, 0x6e, 0x6a,
0xe7, 0x5e, 0x4c, 0xf2, 0x7e, 0x9e, 0xf9, 0x20,
0x0e, 0x54, 0x6f, 0x2d, 0x8a, 0x8d, 0x7e, 0xbd,
0x48, 0x79, 0x37, 0x99, 0xff, 0x27, 0x93, 0xa3}, /* iv */
{0xf1, 0x54, 0x3d, 0xca, 0xfe, 0xb5, 0xef, 0x1c,
0x4f, 0xa6, 0x43, 0xf6, 0xe6, 0x48, 0x57, 0xf0,
0xee, 0x15, 0x7f, 0xe3, 0xe7, 0x2f, 0xd0, 0x2f,
0x11, 0x95, 0x7a, 0x17, 0x00, 0xab, 0xa7, 0x0b,
0xbe, 0x44, 0x09, 0x9c, 0xcd, 0xac, 0xa8, 0x52,
0xa1, 0x8e, 0x7b, 0x75, 0xbc, 0xa4, 0x92, 0x5a,
0xab, 0x46, 0xd3, 0x3a, 0xa0, 0xd5, 0x35, 0x1c,
0x55, 0xa4, 0xb3, 0xa8, 0x40, 0x81, 0xa5, 0x0b}, /* in */
{0x42, 0xe5, 0x28, 0x30, 0x31, 0xc2, 0xa0, 0x23,
0x68, 0x49, 0x4e, 0xb3, 0x24, 0x59, 0x92, 0x79,
0xc1, 0xa5, 0xcc, 0xe6, 0x76, 0x53, 0xb1, 0xcf,
0x20, 0x86, 0x23, 0xe8, 0x72, 0x55, 0x99, 0x92,
0x0d, 0x16, 0x1c, 0x5a, 0x2f, 0xce, 0xcb, 0x51,
0xe2, 0x67, 0xfa, 0x10, 0xec, 0xcd, 0x3d, 0x67,
0xa5, 0xe6, 0xf7, 0x31, 0x26, 0xb0, 0x0d, 0x76,
0x5e, 0x28, 0xdc, 0x7f, 0x01, 0xc5, 0xa5, 0x4c}, /* out */
32, 64, AES_ENCRYPT}, /* test vector 1 */
};
static int run_test_vectors(void)
{
unsigned int n;
int errs = 0;
for (n = 0; n < sizeof(ige_test_vectors) / sizeof(ige_test_vectors[0]);
++n) {
const struct ige_test *const v = &ige_test_vectors[n];
AES_KEY key;
unsigned char buf[MAX_VECTOR_SIZE];
unsigned char iv[AES_BLOCK_SIZE * 2];
assert(v->length <= MAX_VECTOR_SIZE);
if (v->encrypt == AES_ENCRYPT)
AES_set_encrypt_key(v->key, 8 * sizeof v->key, &key);
else
AES_set_decrypt_key(v->key, 8 * sizeof v->key, &key);
memcpy(iv, v->iv, sizeof iv);
AES_ige_encrypt(v->in, buf, v->length, &key, iv, v->encrypt);
if (memcmp(v->out, buf, v->length)) {
printf("IGE test vector %d failed\n", n);
hexdump(stdout, "key", v->key, sizeof v->key);
hexdump(stdout, "iv", v->iv, sizeof v->iv);
hexdump(stdout, "in", v->in, v->length);
hexdump(stdout, "expected", v->out, v->length);
hexdump(stdout, "got", buf, v->length);
++errs;
}
/* try with in == out */
memcpy(iv, v->iv, sizeof iv);
memcpy(buf, v->in, v->length);
AES_ige_encrypt(buf, buf, v->length, &key, iv, v->encrypt);
if (memcmp(v->out, buf, v->length)) {
printf("IGE test vector %d failed (with in == out)\n", n);
hexdump(stdout, "key", v->key, sizeof v->key);
hexdump(stdout, "iv", v->iv, sizeof v->iv);
hexdump(stdout, "in", v->in, v->length);
hexdump(stdout, "expected", v->out, v->length);
hexdump(stdout, "got", buf, v->length);
++errs;
}
}
for (n = 0;
n < sizeof(bi_ige_test_vectors) / sizeof(bi_ige_test_vectors[0]);
++n) {
const struct bi_ige_test *const v = &bi_ige_test_vectors[n];
AES_KEY key1;
AES_KEY key2;
unsigned char buf[MAX_VECTOR_SIZE];
assert(v->length <= MAX_VECTOR_SIZE);
if (v->encrypt == AES_ENCRYPT) {
AES_set_encrypt_key(v->key1, 8 * v->keysize, &key1);
AES_set_encrypt_key(v->key2, 8 * v->keysize, &key2);
} else {
AES_set_decrypt_key(v->key1, 8 * v->keysize, &key1);
AES_set_decrypt_key(v->key2, 8 * v->keysize, &key2);
}
AES_bi_ige_encrypt(v->in, buf, v->length, &key1, &key2, v->iv,
v->encrypt);
if (memcmp(v->out, buf, v->length)) {
printf("Bidirectional IGE test vector %d failed\n", n);
hexdump(stdout, "key 1", v->key1, sizeof v->key1);
hexdump(stdout, "key 2", v->key2, sizeof v->key2);
hexdump(stdout, "iv", v->iv, sizeof v->iv);
hexdump(stdout, "in", v->in, v->length);
hexdump(stdout, "expected", v->out, v->length);
hexdump(stdout, "got", buf, v->length);
++errs;
}
}
return errs;
}
int main(int argc, char **argv)
{
unsigned char rkey[16];
unsigned char rkey2[16];
AES_KEY key;
AES_KEY key2;
unsigned char plaintext[BIG_TEST_SIZE];
unsigned char ciphertext[BIG_TEST_SIZE];
unsigned char checktext[BIG_TEST_SIZE];
unsigned char iv[AES_BLOCK_SIZE * 4];
unsigned char saved_iv[AES_BLOCK_SIZE * 4];
int err = 0;
unsigned int n;
unsigned matches;
assert(BIG_TEST_SIZE >= TEST_SIZE);
RAND_pseudo_bytes(rkey, sizeof rkey);
RAND_pseudo_bytes(plaintext, sizeof plaintext);
RAND_pseudo_bytes(iv, sizeof iv);
memcpy(saved_iv, iv, sizeof saved_iv);
/* Forward IGE only... */
/* Straight encrypt/decrypt */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
AES_ige_encrypt(plaintext, ciphertext, TEST_SIZE, &key, iv, AES_ENCRYPT);
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
memcpy(iv, saved_iv, sizeof iv);
AES_ige_encrypt(ciphertext, checktext, TEST_SIZE, &key, iv, AES_DECRYPT);
if (memcmp(checktext, plaintext, TEST_SIZE)) {
printf("Encrypt+decrypt doesn't match\n");
hexdump(stdout, "Plaintext", plaintext, TEST_SIZE);
hexdump(stdout, "Checktext", checktext, TEST_SIZE);
++err;
}
/* Now check encrypt chaining works */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
memcpy(iv, saved_iv, sizeof iv);
AES_ige_encrypt(plaintext, ciphertext, TEST_SIZE / 2, &key, iv,
AES_ENCRYPT);
AES_ige_encrypt(plaintext + TEST_SIZE / 2,
ciphertext + TEST_SIZE / 2, TEST_SIZE / 2,
&key, iv, AES_ENCRYPT);
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
memcpy(iv, saved_iv, sizeof iv);
AES_ige_encrypt(ciphertext, checktext, TEST_SIZE, &key, iv, AES_DECRYPT);
if (memcmp(checktext, plaintext, TEST_SIZE)) {
printf("Chained encrypt+decrypt doesn't match\n");
hexdump(stdout, "Plaintext", plaintext, TEST_SIZE);
hexdump(stdout, "Checktext", checktext, TEST_SIZE);
++err;
}
/* And check decrypt chaining */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
memcpy(iv, saved_iv, sizeof iv);
AES_ige_encrypt(plaintext, ciphertext, TEST_SIZE / 2, &key, iv,
AES_ENCRYPT);
AES_ige_encrypt(plaintext + TEST_SIZE / 2,
ciphertext + TEST_SIZE / 2, TEST_SIZE / 2,
&key, iv, AES_ENCRYPT);
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
memcpy(iv, saved_iv, sizeof iv);
AES_ige_encrypt(ciphertext, checktext, TEST_SIZE / 2, &key, iv,
AES_DECRYPT);
AES_ige_encrypt(ciphertext + TEST_SIZE / 2,
checktext + TEST_SIZE / 2, TEST_SIZE / 2, &key, iv,
AES_DECRYPT);
if (memcmp(checktext, plaintext, TEST_SIZE)) {
printf("Chained encrypt+chained decrypt doesn't match\n");
hexdump(stdout, "Plaintext", plaintext, TEST_SIZE);
hexdump(stdout, "Checktext", checktext, TEST_SIZE);
++err;
}
/* make sure garble extends forwards only */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
memcpy(iv, saved_iv, sizeof iv);
AES_ige_encrypt(plaintext, ciphertext, sizeof plaintext, &key, iv,
AES_ENCRYPT);
/* corrupt halfway through */
++ciphertext[sizeof ciphertext / 2];
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
memcpy(iv, saved_iv, sizeof iv);
AES_ige_encrypt(ciphertext, checktext, sizeof checktext, &key, iv,
AES_DECRYPT);
matches = 0;
for (n = 0; n < sizeof checktext; ++n)
if (checktext[n] == plaintext[n])
++matches;
if (matches > sizeof checktext / 2 + sizeof checktext / 100) {
printf("More than 51%% matches after garbling\n");
++err;
}
if (matches < sizeof checktext / 2) {
printf("Garble extends backwards!\n");
++err;
}
/* Bi-directional IGE */
/*
* Note that we don't have to recover the IV, because chaining isn't
*/
/* possible with biIGE, so the IV is not updated. */
RAND_pseudo_bytes(rkey2, sizeof rkey2);
/* Straight encrypt/decrypt */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_encrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_bi_ige_encrypt(plaintext, ciphertext, TEST_SIZE, &key, &key2, iv,
AES_ENCRYPT);
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_decrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_bi_ige_encrypt(ciphertext, checktext, TEST_SIZE, &key, &key2, iv,
AES_DECRYPT);
if (memcmp(checktext, plaintext, TEST_SIZE)) {
printf("Encrypt+decrypt doesn't match\n");
hexdump(stdout, "Plaintext", plaintext, TEST_SIZE);
hexdump(stdout, "Checktext", checktext, TEST_SIZE);
++err;
}
/* make sure garble extends both ways */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_encrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_ige_encrypt(plaintext, ciphertext, sizeof plaintext, &key, iv,
AES_ENCRYPT);
/* corrupt halfway through */
++ciphertext[sizeof ciphertext / 2];
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_decrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_ige_encrypt(ciphertext, checktext, sizeof checktext, &key, iv,
AES_DECRYPT);
matches = 0;
for (n = 0; n < sizeof checktext; ++n)
if (checktext[n] == plaintext[n])
++matches;
if (matches > sizeof checktext / 100) {
printf("More than 1%% matches after bidirectional garbling\n");
++err;
}
/* make sure garble extends both ways (2) */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_encrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_ige_encrypt(plaintext, ciphertext, sizeof plaintext, &key, iv,
AES_ENCRYPT);
/* corrupt right at the end */
++ciphertext[sizeof ciphertext - 1];
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_decrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_ige_encrypt(ciphertext, checktext, sizeof checktext, &key, iv,
AES_DECRYPT);
matches = 0;
for (n = 0; n < sizeof checktext; ++n)
if (checktext[n] == plaintext[n])
++matches;
if (matches > sizeof checktext / 100) {
printf("More than 1%% matches after bidirectional garbling (2)\n");
++err;
}
/* make sure garble extends both ways (3) */
AES_set_encrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_encrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_ige_encrypt(plaintext, ciphertext, sizeof plaintext, &key, iv,
AES_ENCRYPT);
/* corrupt right at the start */
++ciphertext[0];
AES_set_decrypt_key(rkey, 8 * sizeof rkey, &key);
AES_set_decrypt_key(rkey2, 8 * sizeof rkey2, &key2);
AES_ige_encrypt(ciphertext, checktext, sizeof checktext, &key, iv,
AES_DECRYPT);
matches = 0;
for (n = 0; n < sizeof checktext; ++n)
if (checktext[n] == plaintext[n])
++matches;
if (matches > sizeof checktext / 100) {
printf("More than 1%% matches after bidirectional garbling (3)\n");
++err;
}
err += run_test_vectors();
return err;
}
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