|  | =pod | 
|  |  | 
|  | =head1 NAME | 
|  |  | 
|  | rand - pseudo-random number generator | 
|  |  | 
|  | =head1 SYNOPSIS | 
|  |  | 
|  | #include <openssl/rand.h> | 
|  |  | 
|  | int  RAND_set_rand_engine(ENGINE *engine); | 
|  |  | 
|  | int  RAND_bytes(unsigned char *buf, int num); | 
|  | int  RAND_pseudo_bytes(unsigned char *buf, int num); | 
|  |  | 
|  | void RAND_seed(const void *buf, int num); | 
|  | void RAND_add(const void *buf, int num, int entropy); | 
|  | int  RAND_status(void); | 
|  |  | 
|  | int  RAND_load_file(const char *file, long max_bytes); | 
|  | int  RAND_write_file(const char *file); | 
|  | const char *RAND_file_name(char *file, size_t num); | 
|  |  | 
|  | int  RAND_egd(const char *path); | 
|  |  | 
|  | void RAND_set_rand_method(const RAND_METHOD *meth); | 
|  | const RAND_METHOD *RAND_get_rand_method(void); | 
|  | RAND_METHOD *RAND_SSLeay(void); | 
|  |  | 
|  | void RAND_cleanup(void); | 
|  |  | 
|  | /* For Win32 only */ | 
|  | void RAND_screen(void); | 
|  | int RAND_event(UINT, WPARAM, LPARAM); | 
|  |  | 
|  | =head1 DESCRIPTION | 
|  |  | 
|  | Since the introduction of the ENGINE API, the recommended way of controlling | 
|  | default implementations is by using the ENGINE API functions. The default | 
|  | B<RAND_METHOD>, as set by RAND_set_rand_method() and returned by | 
|  | RAND_get_rand_method(), is only used if no ENGINE has been set as the default | 
|  | "rand" implementation. Hence, these two functions are no longer the recommened | 
|  | way to control defaults. | 
|  |  | 
|  | If an alternative B<RAND_METHOD> implementation is being used (either set | 
|  | directly or as provided by an ENGINE module), then it is entirely responsible | 
|  | for the generation and management of a cryptographically secure PRNG stream. The | 
|  | mechanisms described below relate solely to the software PRNG implementation | 
|  | built in to OpenSSL and used by default. | 
|  |  | 
|  | These functions implement a cryptographically secure pseudo-random | 
|  | number generator (PRNG). It is used by other library functions for | 
|  | example to generate random keys, and applications can use it when they | 
|  | need randomness. | 
|  |  | 
|  | A cryptographic PRNG must be seeded with unpredictable data such as | 
|  | mouse movements or keys pressed at random by the user. This is | 
|  | described in L<RAND_add(3)|RAND_add(3)>. Its state can be saved in a seed file | 
|  | (see L<RAND_load_file(3)|RAND_load_file(3)>) to avoid having to go through the | 
|  | seeding process whenever the application is started. | 
|  |  | 
|  | L<RAND_bytes(3)|RAND_bytes(3)> describes how to obtain random data from the | 
|  | PRNG. | 
|  |  | 
|  | =head1 INTERNALS | 
|  |  | 
|  | The RAND_SSLeay() method implements a PRNG based on a cryptographic | 
|  | hash function. | 
|  |  | 
|  | The following description of its design is based on the SSLeay | 
|  | documentation: | 
|  |  | 
|  | First up I will state the things I believe I need for a good RNG. | 
|  |  | 
|  | =over 4 | 
|  |  | 
|  | =item 1 | 
|  |  | 
|  | A good hashing algorithm to mix things up and to convert the RNG 'state' | 
|  | to random numbers. | 
|  |  | 
|  | =item 2 | 
|  |  | 
|  | An initial source of random 'state'. | 
|  |  | 
|  | =item 3 | 
|  |  | 
|  | The state should be very large.  If the RNG is being used to generate | 
|  | 4096 bit RSA keys, 2 2048 bit random strings are required (at a minimum). | 
|  | If your RNG state only has 128 bits, you are obviously limiting the | 
|  | search space to 128 bits, not 2048.  I'm probably getting a little | 
|  | carried away on this last point but it does indicate that it may not be | 
|  | a bad idea to keep quite a lot of RNG state.  It should be easier to | 
|  | break a cipher than guess the RNG seed data. | 
|  |  | 
|  | =item 4 | 
|  |  | 
|  | Any RNG seed data should influence all subsequent random numbers | 
|  | generated.  This implies that any random seed data entered will have | 
|  | an influence on all subsequent random numbers generated. | 
|  |  | 
|  | =item 5 | 
|  |  | 
|  | When using data to seed the RNG state, the data used should not be | 
|  | extractable from the RNG state.  I believe this should be a | 
|  | requirement because one possible source of 'secret' semi random | 
|  | data would be a private key or a password.  This data must | 
|  | not be disclosed by either subsequent random numbers or a | 
|  | 'core' dump left by a program crash. | 
|  |  | 
|  | =item 6 | 
|  |  | 
|  | Given the same initial 'state', 2 systems should deviate in their RNG state | 
|  | (and hence the random numbers generated) over time if at all possible. | 
|  |  | 
|  | =item 7 | 
|  |  | 
|  | Given the random number output stream, it should not be possible to determine | 
|  | the RNG state or the next random number. | 
|  |  | 
|  | =back | 
|  |  | 
|  | The algorithm is as follows. | 
|  |  | 
|  | There is global state made up of a 1023 byte buffer (the 'state'), a | 
|  | working hash value ('md'), and a counter ('count'). | 
|  |  | 
|  | Whenever seed data is added, it is inserted into the 'state' as | 
|  | follows. | 
|  |  | 
|  | The input is chopped up into units of 20 bytes (or less for | 
|  | the last block).  Each of these blocks is run through the hash | 
|  | function as follows:  The data passed to the hash function | 
|  | is the current 'md', the same number of bytes from the 'state' | 
|  | (the location determined by in incremented looping index) as | 
|  | the current 'block', the new key data 'block', and 'count' | 
|  | (which is incremented after each use). | 
|  | The result of this is kept in 'md' and also xored into the | 
|  | 'state' at the same locations that were used as input into the | 
|  | hash function. I | 
|  | believe this system addresses points 1 (hash function; currently | 
|  | SHA-1), 3 (the 'state'), 4 (via the 'md'), 5 (by the use of a hash | 
|  | function and xor). | 
|  |  | 
|  | When bytes are extracted from the RNG, the following process is used. | 
|  | For each group of 10 bytes (or less), we do the following: | 
|  |  | 
|  | Input into the hash function the local 'md' (which is initialized from | 
|  | the global 'md' before any bytes are generated), the bytes that are to | 
|  | be overwritten by the random bytes, and bytes from the 'state' | 
|  | (incrementing looping index). From this digest output (which is kept | 
|  | in 'md'), the top (up to) 10 bytes are returned to the caller and the | 
|  | bottom 10 bytes are xored into the 'state'. | 
|  |  | 
|  | Finally, after we have finished 'num' random bytes for the caller, | 
|  | 'count' (which is incremented) and the local and global 'md' are fed | 
|  | into the hash function and the results are kept in the global 'md'. | 
|  |  | 
|  | I believe the above addressed points 1 (use of SHA-1), 6 (by hashing | 
|  | into the 'state' the 'old' data from the caller that is about to be | 
|  | overwritten) and 7 (by not using the 10 bytes given to the caller to | 
|  | update the 'state', but they are used to update 'md'). | 
|  |  | 
|  | So of the points raised, only 2 is not addressed (but see | 
|  | L<RAND_add(3)|RAND_add(3)>). | 
|  |  | 
|  | =head1 SEE ALSO | 
|  |  | 
|  | L<BN_rand(3)|BN_rand(3)>, L<RAND_add(3)|RAND_add(3)>, | 
|  | L<RAND_load_file(3)|RAND_load_file(3)>, L<RAND_egd(3)|RAND_egd(3)>, | 
|  | L<RAND_bytes(3)|RAND_bytes(3)>, | 
|  | L<RAND_set_rand_method(3)|RAND_set_rand_method(3)>, | 
|  | L<RAND_cleanup(3)|RAND_cleanup(3)> | 
|  |  | 
|  | =cut |