--- src/secure/lib/libcrypto/man/bn.3 2004/09/02 09:26:58 1.2 +++ src/secure/lib/libcrypto/man/bn.3 2004/12/18 21:34:10 1.3 @@ -1,12 +1,8 @@ -.rn '' }` -''' $RCSfile: bn.3,v $$Revision: 1.2 $$Date: 2004/09/02 09:26:58 $ -''' -''' $Log: bn.3,v $ -''' Revision 1.2 2004/09/02 09:26:58 asmodai -''' Commit manual pages after running 'man-update' and add new manual pages. -''' -''' -.de Sh +.\" Automatically generated by Pod::Man v1.37, Pod::Parser v1.14 +.\" +.\" Standard preamble: +.\" ======================================================================== +.de Sh \" Subsection heading .br .if t .Sp .ne 5 @@ -14,150 +10,98 @@ \fB\\$1\fR .PP .. -.de Sp +.de Sp \" Vertical space (when we can't use .PP) .if t .sp .5v .if n .sp .. -.de Ip -.br -.ie \\n(.$>=3 .ne \\$3 -.el .ne 3 -.IP "\\$1" \\$2 -.. -.de Vb +.de Vb \" Begin verbatim text .ft CW .nf .ne \\$1 .. -.de Ve +.de Ve \" End verbatim text .ft R - .fi .. -''' -''' -''' Set up \*(-- to give an unbreakable dash; -''' string Tr holds user defined translation string. -''' Bell System Logo is used as a dummy character. -''' +.\" 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. | will give a +.\" real vertical bar. \*(C+ will give a nicer C++. Capital omega is used to +.\" do unbreakable dashes and therefore won't be available. \*(C` and \*(C' +.\" expand to `' in nroff, nothing in troff, for use with C<>. .tr \(*W-|\(bv\*(Tr +.ds C+ C\v'-.1v'\h'-1p'\s-2+\h'-1p'+\s0\v'.1v'\h'-1p' .ie n \{\ -.ds -- \(*W- -.ds PI pi -.if (\n(.H=4u)&(1m=24u) .ds -- \(*W\h'-12u'\(*W\h'-12u'-\" diablo 10 pitch -.if (\n(.H=4u)&(1m=20u) .ds -- \(*W\h'-12u'\(*W\h'-8u'-\" diablo 12 pitch -.ds L" "" -.ds R" "" -''' \*(M", \*(S", \*(N" and \*(T" are the equivalent of -''' \*(L" and \*(R", except that they are used on ".xx" lines, -''' such as .IP and .SH, which do another additional levels of -''' double-quote interpretation -.ds M" """ -.ds S" """ -.ds N" """"" -.ds T" """"" -.ds L' ' -.ds R' ' -.ds M' ' -.ds S' ' -.ds N' ' -.ds T' ' +. ds -- \(*W- +. ds PI pi +. if (\n(.H=4u)&(1m=24u) .ds -- \(*W\h'-12u'\(*W\h'-12u'-\" diablo 10 pitch +. if (\n(.H=4u)&(1m=20u) .ds -- \(*W\h'-12u'\(*W\h'-8u'-\" diablo 12 pitch +. ds L" "" +. ds R" "" +. ds C` "" +. ds C' "" 'br\} .el\{\ -.ds -- \(em\| -.tr \*(Tr -.ds L" `` -.ds R" '' -.ds M" `` -.ds S" '' -.ds N" `` -.ds T" '' -.ds L' ` -.ds R' ' -.ds M' ` -.ds S' ' -.ds N' ` -.ds T' ' -.ds PI \(*p +. ds -- \|\(em\| +. ds PI \(*p +. ds L" `` +. ds R" '' 'br\} -.\" If the F register is turned on, we'll generate -.\" index entries out stderr for the following things: -.\" TH Title -.\" SH Header -.\" Sh Subsection -.\" Ip Item -.\" X<> Xref (embedded -.\" Of course, you have to process the output yourself -.\" in some meaninful fashion. -.if \nF \{ -.de IX -.tm Index:\\$1\t\\n%\t"\\$2" +.\" +.\" If the F register is turned on, we'll generate index entries on stderr for +.\" titles (.TH), headers (.SH), subsections (.Sh), items (.Ip), and index +.\" entries marked with X<> in POD. Of course, you'll have to process the +.\" output yourself in some meaningful fashion. +.if \nF \{\ +. de IX +. tm Index:\\$1\t\\n%\t"\\$2" .. -.nr % 0 -.rr F +. nr % 0 +. rr F .\} -.TH bn 3 "0.9.7d" "2/Sep/2004" "OpenSSL" -.UC -.if n .hy 0 +.\" +.\" For nroff, turn off justification. Always turn off hyphenation; it makes +.\" way too many mistakes in technical documents. +.hy 0 .if n .na -.ds C+ C\v'-.1v'\h'-1p'\s-2+\h'-1p'+\s0\v'.1v'\h'-1p' -.de CQ \" put $1 in typewriter font -.ft CW -'if n "\c -'if t \\&\\$1\c -'if n \\&\\$1\c -'if n \&" -\\&\\$2 \\$3 \\$4 \\$5 \\$6 \\$7 -'.ft R -.. -.\" @(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2 -. \" AM - accent mark definitions -.bd B 3 -. \" fudge factors for nroff and troff +.\" +.\" Accent mark definitions (@(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2). +.\" Fear. Run. Save yourself. No user-serviceable parts. +. \" fudge factors for nroff and troff .if n \{\ -. ds #H 0 -. ds #V .8m -. ds #F .3m -. ds #[ \f1 -. ds #] \fP +. ds #H 0 +. ds #V .8m +. ds #F .3m +. ds #[ \f1 +. ds #] \fP .\} .if t \{\ -. ds #H ((1u-(\\\\n(.fu%2u))*.13m) -. ds #V .6m -. ds #F 0 -. ds #[ \& -. ds #] \& +. ds #H ((1u-(\\\\n(.fu%2u))*.13m) +. ds #V .6m +. ds #F 0 +. ds #[ \& +. ds #] \& .\} -. \" simple accents for nroff and troff +. \" simple accents for nroff and troff .if n \{\ -. ds ' \& -. ds ` \& -. ds ^ \& -. ds , \& -. ds ~ ~ -. ds ? ? -. ds ! ! -. ds / -. ds q +. ds ' \& +. ds ` \& +. ds ^ \& +. ds , \& +. ds ~ ~ +. ds / .\} .if t \{\ -. ds ' \\k:\h'-(\\n(.wu*8/10-\*(#H)'\'\h"|\\n:u" -. ds ` \\k:\h'-(\\n(.wu*8/10-\*(#H)'\`\h'|\\n:u' -. ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'^\h'|\\n:u' -. ds , \\k:\h'-(\\n(.wu*8/10)',\h'|\\n:u' -. ds ~ \\k:\h'-(\\n(.wu-\*(#H-.1m)'~\h'|\\n:u' -. ds ? \s-2c\h'-\w'c'u*7/10'\u\h'\*(#H'\zi\d\s+2\h'\w'c'u*8/10' -. ds ! \s-2\(or\s+2\h'-\w'\(or'u'\v'-.8m'.\v'.8m' -. ds / \\k:\h'-(\\n(.wu*8/10-\*(#H)'\z\(sl\h'|\\n:u' -. ds q o\h'-\w'o'u*8/10'\s-4\v'.4m'\z\(*i\v'-.4m'\s+4\h'\w'o'u*8/10' +. ds ' \\k:\h'-(\\n(.wu*8/10-\*(#H)'\'\h"|\\n:u" +. ds ` \\k:\h'-(\\n(.wu*8/10-\*(#H)'\`\h'|\\n:u' +. ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'^\h'|\\n:u' +. ds , \\k:\h'-(\\n(.wu*8/10)',\h'|\\n:u' +. ds ~ \\k:\h'-(\\n(.wu-\*(#H-.1m)'~\h'|\\n:u' +. ds / \\k:\h'-(\\n(.wu*8/10-\*(#H)'\z\(sl\h'|\\n:u' .\} -. \" troff and (daisy-wheel) nroff accents +. \" troff and (daisy-wheel) nroff accents .ds : \\k:\h'-(\\n(.wu*8/10-\*(#H+.1m+\*(#F)'\v'-\*(#V'\z.\h'.2m+\*(#F'.\h'|\\n:u'\v'\*(#V' .ds 8 \h'\*(#H'\(*b\h'-\*(#H' -.ds v \\k:\h'-(\\n(.wu*9/10-\*(#H)'\v'-\*(#V'\*(#[\s-4v\s0\v'\*(#V'\h'|\\n:u'\*(#] -.ds _ \\k:\h'-(\\n(.wu*9/10-\*(#H+(\*(#F*2/3))'\v'-.4m'\z\(hy\v'.4m'\h'|\\n:u' -.ds . \\k:\h'-(\\n(.wu*8/10)'\v'\*(#V*4/10'\z.\v'-\*(#V*4/10'\h'|\\n:u' -.ds 3 \*(#[\v'.2m'\s-2\&3\s0\v'-.2m'\*(#] .ds o \\k:\h'-(\\n(.wu+\w'\(de'u-\*(#H)/2u'\v'-.3n'\*(#[\z\(de\v'.3n'\h'|\\n:u'\*(#] .ds d- \h'\*(#H'\(pd\h'-\w'~'u'\v'-.25m'\f2\(hy\fP\v'.25m'\h'-\*(#H' .ds D- D\\k:\h'-\w'D'u'\v'-.11m'\z\(hy\v'.11m'\h'|\\n:u' @@ -165,38 +109,35 @@ .ds Th \*(#[\s+2I\s-2\h'-\w'I'u*3/5'\v'-.3m'o\v'.3m'\*(#] .ds ae a\h'-(\w'a'u*4/10)'e .ds Ae A\h'-(\w'A'u*4/10)'E -.ds oe o\h'-(\w'o'u*4/10)'e -.ds Oe O\h'-(\w'O'u*4/10)'E -. \" corrections for vroff +. \" corrections for vroff .if v .ds ~ \\k:\h'-(\\n(.wu*9/10-\*(#H)'\s-2\u~\d\s+2\h'|\\n:u' .if v .ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'\v'-.4m'^\v'.4m'\h'|\\n:u' -. \" for low resolution devices (crt and lpr) +. \" for low resolution devices (crt and lpr) .if \n(.H>23 .if \n(.V>19 \ \{\ -. ds : e -. ds 8 ss -. ds v \h'-1'\o'\(aa\(ga' -. ds _ \h'-1'^ -. ds . \h'-1'. -. ds 3 3 -. ds o a -. ds d- d\h'-1'\(ga -. ds D- D\h'-1'\(hy -. ds th \o'bp' -. ds Th \o'LP' -. ds ae ae -. ds Ae AE -. ds oe oe -. ds Oe OE +. ds : e +. ds 8 ss +. ds o a +. ds d- d\h'-1'\(ga +. ds D- D\h'-1'\(hy +. ds th \o'bp' +. ds Th \o'LP' +. ds ae ae +. ds Ae AE .\} .rm #[ #] #H #V #F C +.\" ======================================================================== +.\" +.IX Title "bn 3" +.TH bn 3 "2004-12-18" "0.9.7e" "OpenSSL" .SH "NAME" bn \- multiprecision integer arithmetics .SH "SYNOPSIS" -.PP +.IX Header "SYNOPSIS" .Vb 1 \& #include .Ve +.PP .Vb 5 \& BIGNUM *BN_new(void); \& void BN_free(BIGNUM *a); @@ -204,23 +145,28 @@ bn \- multiprecision integer arithmetics \& void BN_clear(BIGNUM *a); \& void BN_clear_free(BIGNUM *a); .Ve +.PP .Vb 3 \& BN_CTX *BN_CTX_new(void); \& void BN_CTX_init(BN_CTX *c); \& void BN_CTX_free(BN_CTX *c); .Ve +.PP .Vb 2 \& BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); \& BIGNUM *BN_dup(const BIGNUM *a); .Ve +.PP .Vb 1 \& BIGNUM *BN_swap(BIGNUM *a, BIGNUM *b); .Ve +.PP .Vb 3 \& int BN_num_bytes(const BIGNUM *a); \& int BN_num_bits(const BIGNUM *a); \& int BN_num_bits_word(BN_ULONG w); .Ve +.PP .Vb 19 \& int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); \& int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); @@ -242,6 +188,7 @@ bn \- multiprecision integer arithmetics \& const BIGNUM *m, BN_CTX *ctx); \& int BN_gcd(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); .Ve +.PP .Vb 5 \& int BN_add_word(BIGNUM *a, BN_ULONG w); \& int BN_sub_word(BIGNUM *a, BN_ULONG w); @@ -249,6 +196,7 @@ bn \- multiprecision integer arithmetics \& BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); \& BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); .Ve +.PP .Vb 6 \& int BN_cmp(BIGNUM *a, BIGNUM *b); \& int BN_ucmp(BIGNUM *a, BIGNUM *b); @@ -257,6 +205,7 @@ bn \- multiprecision integer arithmetics \& int BN_is_word(BIGNUM *a, BN_ULONG w); \& int BN_is_odd(BIGNUM *a); .Ve +.PP .Vb 5 \& int BN_zero(BIGNUM *a); \& int BN_one(BIGNUM *a); @@ -264,18 +213,21 @@ bn \- multiprecision integer arithmetics \& int BN_set_word(BIGNUM *a, unsigned long w); \& unsigned long BN_get_word(BIGNUM *a); .Ve +.PP .Vb 4 \& int BN_rand(BIGNUM *rnd, int bits, int top, int bottom); \& int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom); \& int BN_rand_range(BIGNUM *rnd, BIGNUM *range); \& int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range); .Ve +.PP .Vb 4 \& BIGNUM *BN_generate_prime(BIGNUM *ret, int bits,int safe, BIGNUM *add, \& BIGNUM *rem, void (*callback)(int, int, void *), void *cb_arg); \& int BN_is_prime(const BIGNUM *p, int nchecks, \& void (*callback)(int, int, void *), BN_CTX *ctx, void *cb_arg); .Ve +.PP .Vb 8 \& int BN_set_bit(BIGNUM *a, int n); \& int BN_clear_bit(BIGNUM *a, int n); @@ -286,6 +238,7 @@ bn \- multiprecision integer arithmetics \& int BN_rshift(BIGNUM *r, BIGNUM *a, int n); \& int BN_rshift1(BIGNUM *r, BIGNUM *a); .Ve +.PP .Vb 10 \& int BN_bn2bin(const BIGNUM *a, unsigned char *to); \& BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret); @@ -298,10 +251,12 @@ bn \- multiprecision integer arithmetics \& int BN_bn2mpi(const BIGNUM *a, unsigned char *to); \& BIGNUM *BN_mpi2bn(unsigned char *s, int len, BIGNUM *ret); .Ve +.PP .Vb 2 \& BIGNUM *BN_mod_inverse(BIGNUM *r, BIGNUM *a, const BIGNUM *n, \& BN_CTX *ctx); .Ve +.PP .Vb 6 \& BN_RECP_CTX *BN_RECP_CTX_new(void); \& void BN_RECP_CTX_init(BN_RECP_CTX *recp); @@ -310,6 +265,7 @@ bn \- multiprecision integer arithmetics \& int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *a, BIGNUM *b, \& BN_RECP_CTX *recp, BN_CTX *ctx); .Ve +.PP .Vb 11 \& BN_MONT_CTX *BN_MONT_CTX_new(void); \& void BN_MONT_CTX_init(BN_MONT_CTX *ctx); @@ -324,47 +280,36 @@ bn \- multiprecision integer arithmetics \& BN_CTX *ctx); .Ve .SH "DESCRIPTION" +.IX Header "DESCRIPTION" This library performs arithmetic operations on integers of arbitrary -size. It was written for use in public key cryptography, such as RSA -and Diffie-Hellman. +size. It was written for use in public key cryptography, such as \s-1RSA\s0 +and Diffie\-Hellman. .PP It uses dynamic memory allocation for storing its data structures. That means that there is no limit on the size of the numbers manipulated by these functions, but return values must always be checked in case a memory allocation error has occurred. .PP -The basic object in this library is a \fBBIGNUM\fR. It is used to hold a +The basic object in this library is a \fB\s-1BIGNUM\s0\fR. It is used to hold a single large integer. This type should be considered opaque and fields should not be modified or accessed directly. .PP -The creation of \fBBIGNUM\fR objects is described in BN_new(3); -BN_add(3) describes most of the arithmetic operations. -Comparison is described in BN_cmp(3); BN_zero(3) -describes certain assignments, BN_rand(3) the generation of -random numbers, BN_generate_prime(3) deals with prime -numbers and BN_set_bit(3) with bit operations. The conversion -of \fBBIGNUM\fRs to external formats is described in BN_bn2bin(3). +The creation of \fB\s-1BIGNUM\s0\fR objects is described in \fIBN_new\fR\|(3); +\&\fIBN_add\fR\|(3) describes most of the arithmetic operations. +Comparison is described in \fIBN_cmp\fR\|(3); \fIBN_zero\fR\|(3) +describes certain assignments, \fIBN_rand\fR\|(3) the generation of +random numbers, \fIBN_generate_prime\fR\|(3) deals with prime +numbers and \fIBN_set_bit\fR\|(3) with bit operations. The conversion +of \fB\s-1BIGNUM\s0\fRs to external formats is described in \fIBN_bn2bin\fR\|(3). .SH "SEE ALSO" -bn_internal(3), -dh(3), err(3), rand(3), rsa(3), -BN_new(3), BN_CTX_new(3), -BN_copy(3), BN_swap(3), BN_num_bytes(3), -BN_add(3), BN_add_word(3), -BN_cmp(3), BN_zero(3), BN_rand(3), -BN_generate_prime(3), BN_set_bit(3), -BN_bn2bin(3), BN_mod_inverse(3), -BN_mod_mul_reciprocal(3), -BN_mod_mul_montgomery(3) - -.rn }` '' -.IX Title "bn 3" -.IX Name "bn - multiprecision integer arithmetics" - -.IX Header "NAME" - -.IX Header "SYNOPSIS" - -.IX Header "DESCRIPTION" - .IX Header "SEE ALSO" - +\&\fIbn_internal\fR\|(3), +\&\fIdh\fR\|(3), \fIerr\fR\|(3), \fIrand\fR\|(3), \fIrsa\fR\|(3), +\&\fIBN_new\fR\|(3), \fIBN_CTX_new\fR\|(3), +\&\fIBN_copy\fR\|(3), \fIBN_swap\fR\|(3), \fIBN_num_bytes\fR\|(3), +\&\fIBN_add\fR\|(3), \fIBN_add_word\fR\|(3), +\&\fIBN_cmp\fR\|(3), \fIBN_zero\fR\|(3), \fIBN_rand\fR\|(3), +\&\fIBN_generate_prime\fR\|(3), \fIBN_set_bit\fR\|(3), +\&\fIBN_bn2bin\fR\|(3), \fIBN_mod_inverse\fR\|(3), +\&\fIBN_mod_mul_reciprocal\fR\|(3), +\&\fIBN_mod_mul_montgomery\fR\|(3)