2 * RTMP Diffie-Hellmann utilities
3 * Copyright (c) 2009 Andrej Stepanchuk
4 * Copyright (c) 2009-2010 Howard Chu
5 * Copyright (c) 2012 Samuel Pitoiset
7 * This file is part of FFmpeg.
9 * FFmpeg is free software; you can redistribute it and/or
10 * modify it under the terms of the GNU Lesser General Public
11 * License as published by the Free Software Foundation; either
12 * version 2.1 of the License, or (at your option) any later version.
14 * FFmpeg is distributed in the hope that it will be useful,
15 * but WITHOUT ANY WARRANTY; without even the implied warranty of
16 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
17 * Lesser General Public License for more details.
19 * You should have received a copy of the GNU Lesser General Public
20 * License along with FFmpeg; if not, write to the Free Software
21 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
26 * RTMP Diffie-Hellmann utilities
34 #include "libavutil/attributes.h"
35 #include "libavutil/error.h"
36 #include "libavutil/mem.h"
37 #include "libavutil/random_seed.h"
42 #include <mbedtls/ctr_drbg.h>
43 #include <mbedtls/entropy.h>
47 "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
48 "29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
49 "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
50 "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
51 "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381" \
55 "7FFFFFFFFFFFFFFFE487ED5110B4611A62633145C06E0E68" \
56 "948127044533E63A0105DF531D89CD9128A5043CC71A026E" \
57 "F7CA8CD9E69D218D98158536F92F8A1BA7F09AB6B6A8E122" \
58 "F242DABB312F3F637A262174D31BF6B585FFAE5B7A035BF6" \
59 "F71C35FDAD44CFD2D74F9208BE258FF324943328F67329C0" \
65 bn = av_malloc(sizeof(*bn)); \
74 #define bn_set_word(bn, w) mpz_set_ui(bn, w)
75 #define bn_cmp(a, b) mpz_cmp(a, b)
76 #define bn_copy(to, from) mpz_set(to, from)
77 #define bn_sub_word(bn, w) mpz_sub_ui(bn, bn, w)
78 #define bn_cmp_1(bn) mpz_cmp_ui(bn, 1)
79 #define bn_num_bytes(bn) (mpz_sizeinbase(bn, 2) + 7) / 8
80 #define bn_bn2bin(bn, buf, len) \
82 memset(buf, 0, len); \
83 if (bn_num_bytes(bn) <= len) \
84 mpz_export(buf, NULL, 1, 1, 0, 0, bn); \
86 #define bn_bin2bn(bn, buf, len) \
90 mpz_import(bn, len, 1, 1, 0, 0, buf); \
92 #define bn_hex2bn(bn, buf, ret) \
96 ret = (mpz_set_str(bn, buf, 16) == 0); \
100 #define bn_random(bn, num_bits) \
102 int bits = num_bits; \
104 for (bits = num_bits; bits > 0; bits -= 32) { \
105 mpz_mul_2exp(bn, bn, 32); \
106 mpz_add_ui(bn, bn, av_get_random_seed()); \
108 mpz_fdiv_r_2exp(bn, bn, num_bits); \
110 static int bn_modexp(FFBigNum bn
, FFBigNum y
, FFBigNum q
, FFBigNum p
)
112 mpz_powm(bn
, y
, q
, p
);
118 if (!gcry_control(GCRYCTL_INITIALIZATION_FINISHED_P)) { \
119 if (gcry_check_version("1.5.4")) { \
120 gcry_control(GCRYCTL_DISABLE_SECMEM, 0); \
121 gcry_control(GCRYCTL_INITIALIZATION_FINISHED, 0); \
124 if (gcry_control(GCRYCTL_INITIALIZATION_FINISHED_P)) \
125 bn = gcry_mpi_new(1); \
129 #define bn_free(bn) gcry_mpi_release(bn)
130 #define bn_set_word(bn, w) gcry_mpi_set_ui(bn, w)
131 #define bn_cmp(a, b) gcry_mpi_cmp(a, b)
132 #define bn_copy(to, from) gcry_mpi_set(to, from)
133 #define bn_sub_word(bn, w) gcry_mpi_sub_ui(bn, bn, w)
134 #define bn_cmp_1(bn) gcry_mpi_cmp_ui(bn, 1)
135 #define bn_num_bytes(bn) (gcry_mpi_get_nbits(bn) + 7) / 8
136 #define bn_bn2bin(bn, buf, len) gcry_mpi_print(GCRYMPI_FMT_USG, buf, len, NULL, bn)
137 #define bn_bin2bn(bn, buf, len) gcry_mpi_scan(&bn, GCRYMPI_FMT_USG, buf, len, NULL)
138 #define bn_hex2bn(bn, buf, ret) ret = (gcry_mpi_scan(&bn, GCRYMPI_FMT_HEX, buf, 0, 0) == 0)
139 #define bn_random(bn, num_bits) gcry_mpi_randomize(bn, num_bits, GCRY_WEAK_RANDOM)
140 static int bn_modexp(FFBigNum bn
, FFBigNum y
, FFBigNum q
, FFBigNum p
)
142 gcry_mpi_powm(bn
, y
, q
, p
);
146 #define bn_new(bn) bn = BN_new()
147 #define bn_free(bn) BN_free(bn)
148 #define bn_set_word(bn, w) BN_set_word(bn, w)
149 #define bn_cmp(a, b) BN_cmp(a, b)
150 #define bn_copy(to, from) BN_copy(to, from)
151 #define bn_sub_word(bn, w) BN_sub_word(bn, w)
152 #define bn_cmp_1(bn) BN_cmp(bn, BN_value_one())
153 #define bn_num_bytes(bn) BN_num_bytes(bn)
154 #define bn_bn2bin(bn, buf, len) BN_bn2bin(bn, buf)
155 #define bn_bin2bn(bn, buf, len) bn = BN_bin2bn(buf, len, 0)
156 #define bn_hex2bn(bn, buf, ret) ret = BN_hex2bn(&bn, buf)
157 #define bn_random(bn, num_bits) BN_rand(bn, num_bits, 0, 0)
158 static int bn_modexp(FFBigNum bn
, FFBigNum y
, FFBigNum q
, FFBigNum p
)
160 BN_CTX
*ctx
= BN_CTX_new();
162 return AVERROR(ENOMEM
);
163 if (!BN_mod_exp(bn
, y
, q
, p
, ctx
)) {
165 return AVERROR(EINVAL
);
173 bn = av_malloc(sizeof(*bn)); \
175 mbedtls_mpi_init(bn); \
177 #define bn_free(bn) \
179 mbedtls_mpi_free(bn); \
182 #define bn_set_word(bn, w) mbedtls_mpi_lset(bn, w)
183 #define bn_cmp(a, b) mbedtls_mpi_cmp_mpi(a, b)
184 #define bn_copy(to, from) mbedtls_mpi_copy(to, from)
185 #define bn_sub_word(bn, w) mbedtls_mpi_sub_int(bn, bn, w)
186 #define bn_cmp_1(bn) mbedtls_mpi_cmp_int(bn, 1)
187 #define bn_num_bytes(bn) (mbedtls_mpi_bitlen(bn) + 7) / 8
188 #define bn_bn2bin(bn, buf, len) mbedtls_mpi_write_binary(bn, buf, len)
189 #define bn_bin2bn(bn, buf, len) \
193 mbedtls_mpi_read_binary(bn, buf, len); \
195 #define bn_hex2bn(bn, buf, ret) \
199 ret = (mbedtls_mpi_read_string(bn, 16, buf) == 0); \
203 #define bn_random(bn, num_bits) \
205 mbedtls_entropy_context entropy_ctx; \
206 mbedtls_ctr_drbg_context ctr_drbg_ctx; \
208 mbedtls_entropy_init(&entropy_ctx); \
209 mbedtls_ctr_drbg_init(&ctr_drbg_ctx); \
210 mbedtls_ctr_drbg_seed(&ctr_drbg_ctx, \
211 mbedtls_entropy_func, \
214 mbedtls_mpi_fill_random(bn, (num_bits + 7) / 8, mbedtls_ctr_drbg_random, &ctr_drbg_ctx); \
215 mbedtls_ctr_drbg_free(&ctr_drbg_ctx); \
216 mbedtls_entropy_free(&entropy_ctx); \
218 #define bn_modexp(bn, y, q, p) mbedtls_mpi_exp_mod(bn, y, q, p, 0)
222 #define MAX_BYTES 18000
224 #define dh_new() av_mallocz(sizeof(FF_DH))
226 static FFBigNum
dh_generate_key(FF_DH
*dh
)
230 num_bytes
= bn_num_bytes(dh
->p
) - 1;
231 if (num_bytes
<= 0 || num_bytes
> MAX_BYTES
)
234 bn_new(dh
->priv_key
);
237 bn_random(dh
->priv_key
, 8 * num_bytes
);
241 bn_free(dh
->priv_key
);
245 if (bn_modexp(dh
->pub_key
, dh
->g
, dh
->priv_key
, dh
->p
) < 0)
251 static int dh_compute_key(FF_DH
*dh
, FFBigNum pub_key_bn
,
252 uint32_t secret_key_len
, uint8_t *secret_key
)
261 if ((ret
= bn_modexp(k
, pub_key_bn
, dh
->priv_key
, dh
->p
)) < 0) {
265 bn_bn2bin(k
, secret_key
, secret_key_len
);
268 /* return the length of the shared secret key like DH_compute_key */
269 return secret_key_len
;
272 void ff_dh_free(FF_DH
*dh
)
278 bn_free(dh
->pub_key
);
279 bn_free(dh
->priv_key
);
283 static int dh_is_valid_public_key(FFBigNum y
, FFBigNum p
, FFBigNum q
)
286 int ret
= AVERROR(EINVAL
);
290 return AVERROR(ENOMEM
);
292 /* y must lie in [2, p - 1] */
303 /* Verify with Sophie-Germain prime
305 * This is a nice test to make sure the public key position is calculated
306 * correctly. This test will fail in about 50% of the cases if applied to
309 /* y must fulfill y^q mod p = 1 */
310 if ((ret
= bn_modexp(bn
, y
, q
, p
)) < 0)
313 ret
= AVERROR(EINVAL
);
324 av_cold FF_DH
*ff_dh_init(int key_len
)
329 if (!(dh
= dh_new()))
336 bn_hex2bn(dh
->p
, P1024
, ret
);
340 bn_set_word(dh
->g
, 2);
341 dh
->length
= key_len
;
351 int ff_dh_generate_public_key(FF_DH
*dh
)
358 if (!dh_generate_key(dh
))
359 return AVERROR(EINVAL
);
361 bn_hex2bn(q1
, Q1024
, ret
);
363 return AVERROR(ENOMEM
);
365 ret
= dh_is_valid_public_key(dh
->pub_key
, dh
->p
, q1
);
369 /* the public key is valid */
377 int ff_dh_write_public_key(FF_DH
*dh
, uint8_t *pub_key
, int pub_key_len
)
381 /* compute the length of the public key */
382 len
= bn_num_bytes(dh
->pub_key
);
383 if (len
<= 0 || len
> pub_key_len
)
384 return AVERROR(EINVAL
);
386 /* convert the public key value into big-endian form */
387 memset(pub_key
, 0, pub_key_len
);
388 bn_bn2bin(dh
->pub_key
, pub_key
+ pub_key_len
- len
, len
);
393 int ff_dh_compute_shared_secret_key(FF_DH
*dh
, const uint8_t *pub_key
,
394 int pub_key_len
, uint8_t *secret_key
,
397 FFBigNum q1
= NULL
, pub_key_bn
= NULL
;
400 /* convert the big-endian form of the public key into a bignum */
401 bn_bin2bn(pub_key_bn
, pub_key
, pub_key_len
);
403 return AVERROR(ENOMEM
);
405 /* convert the string containing a hexadecimal number into a bignum */
406 bn_hex2bn(q1
, Q1024
, ret
);
408 ret
= AVERROR(ENOMEM
);
412 /* when the public key is valid we have to compute the shared secret key */
413 if ((ret
= dh_is_valid_public_key(pub_key_bn
, dh
->p
, q1
)) < 0) {
415 } else if ((ret
= dh_compute_key(dh
, pub_key_bn
, secret_key_len
,
417 ret
= AVERROR(EINVAL
);