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diff --git a/secure/lib/libcrypto/man/BN_generate_prime.3 b/secure/lib/libcrypto/man/BN_generate_prime.3 new file mode 100644 index 0000000..7eea725 --- /dev/null +++ b/secure/lib/libcrypto/man/BN_generate_prime.3 @@ -0,0 +1,215 @@ +.\" Automatically generated by Pod::Man 2.22 (Pod::Simple 3.07) +.\" +.\" Standard preamble: +.\" ======================================================================== +.de Sp \" Vertical space (when we can't use .PP) +.if t .sp .5v +.if n .sp +.. +.de Vb \" Begin verbatim text +.ft CW +.nf +.ne \\$1 +.. +.de Ve \" End verbatim text +.ft R +.fi +.. +.\" Set up some character translations and predefined strings. \*(-- will +.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left +.\" double quote, and \*(R" will give a right double quote. \*(C+ will +.\" give a nicer C++. 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Always turn off hyphenation; it makes +.\" way too many mistakes in technical documents. +.if n .ad l +.nh +.SH "NAME" +BN_generate_prime, BN_is_prime, BN_is_prime_fasttest \- generate primes and test for primality +.SH "SYNOPSIS" +.IX Header "SYNOPSIS" +.Vb 1 +\& #include <openssl/bn.h> +\& +\& BIGNUM *BN_generate_prime(BIGNUM *ret, int num, int safe, BIGNUM *add, +\& BIGNUM *rem, void (*callback)(int, int, void *), void *cb_arg); +\& +\& int BN_is_prime(const BIGNUM *a, int checks, void (*callback)(int, int, +\& void *), BN_CTX *ctx, void *cb_arg); +\& +\& int BN_is_prime_fasttest(const BIGNUM *a, int checks, +\& void (*callback)(int, int, void *), BN_CTX *ctx, void *cb_arg, +\& int do_trial_division); +.Ve +.SH "DESCRIPTION" +.IX Header "DESCRIPTION" +\&\fIBN_generate_prime()\fR generates a pseudo-random prime number of \fBnum\fR +bits. +If \fBret\fR is not \fB\s-1NULL\s0\fR, it will be used to store the number. +.PP +If \fBcallback\fR is not \fB\s-1NULL\s0\fR, it is called as follows: +.IP "\(bu" 4 +\&\fBcallback(0, i, cb_arg)\fR is called after generating the i\-th +potential prime number. +.IP "\(bu" 4 +While the number is being tested for primality, \fBcallback(1, j, +cb_arg)\fR is called as described below. +.IP "\(bu" 4 +When a prime has been found, \fBcallback(2, i, cb_arg)\fR is called. +.PP +The prime may have to fulfill additional requirements for use in +Diffie-Hellman key exchange: +.PP +If \fBadd\fR is not \fB\s-1NULL\s0\fR, the prime will fulfill the condition p % \fBadd\fR +== \fBrem\fR (p % \fBadd\fR == 1 if \fBrem\fR == \fB\s-1NULL\s0\fR) in order to suit a given +generator. +.PP +If \fBsafe\fR is true, it will be a safe prime (i.e. a prime p so +that (p\-1)/2 is also prime). +.PP +The \s-1PRNG\s0 must be seeded prior to calling \fIBN_generate_prime()\fR. +The prime number generation has a negligible error probability. +.PP +\&\fIBN_is_prime()\fR and \fIBN_is_prime_fasttest()\fR test if the number \fBa\fR is +prime. The following tests are performed until one of them shows that +\&\fBa\fR is composite; if \fBa\fR passes all these tests, it is considered +prime. +.PP +\&\fIBN_is_prime_fasttest()\fR, when called with \fBdo_trial_division == 1\fR, +first attempts trial division by a number of small primes; +if no divisors are found by this test and \fBcallback\fR is not \fB\s-1NULL\s0\fR, +\&\fBcallback(1, \-1, cb_arg)\fR is called. +If \fBdo_trial_division == 0\fR, this test is skipped. +.PP +Both \fIBN_is_prime()\fR and \fIBN_is_prime_fasttest()\fR perform a Miller-Rabin +probabilistic primality test with \fBchecks\fR iterations. If +\&\fBchecks == BN_prime_checks\fR, a number of iterations is used that +yields a false positive rate of at most 2^\-80 for random input. +.PP +If \fBcallback\fR is not \fB\s-1NULL\s0\fR, \fBcallback(1, j, cb_arg)\fR is called +after the j\-th iteration (j = 0, 1, ...). \fBctx\fR is a +pre-allocated \fB\s-1BN_CTX\s0\fR (to save the overhead of allocating and +freeing the structure in a loop), or \fB\s-1NULL\s0\fR. +.SH "RETURN VALUES" +.IX Header "RETURN VALUES" +\&\fIBN_generate_prime()\fR returns the prime number on success, \fB\s-1NULL\s0\fR otherwise. +.PP +\&\fIBN_is_prime()\fR returns 0 if the number is composite, 1 if it is +prime with an error probability of less than 0.25^\fBchecks\fR, and +\&\-1 on error. +.PP +The error codes can be obtained by \fIERR_get_error\fR\|(3). +.SH "SEE ALSO" +.IX Header "SEE ALSO" +\&\fIbn\fR\|(3), \fIERR_get_error\fR\|(3), \fIrand\fR\|(3) +.SH "HISTORY" +.IX Header "HISTORY" +The \fBcb_arg\fR arguments to \fIBN_generate_prime()\fR and to \fIBN_is_prime()\fR +were added in SSLeay 0.9.0. The \fBret\fR argument to \fIBN_generate_prime()\fR +was added in SSLeay 0.9.1. +\&\fIBN_is_prime_fasttest()\fR was added in OpenSSL 0.9.5. |