fa4082de19
The function pow() in libmp(3) clashes with pow(3) in libm. We could rename this single function, but we can just take the same approach as the Solaris folks did, which is to prefix all function names with mp_. libmp(3) isn't really popular nowadays. I suspect not a single application in ports depends on it. There's still a chance, so I've increased the SHLIB_MAJOR and __FreeBSD_version. Reviewed by: deischen, rdivacky
315 lines
6.9 KiB
Groff
315 lines
6.9 KiB
Groff
.\"
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.\" Copyright (c) 2001 Dima Dorfman.
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.\" All rights reserved.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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.\" modification, are permitted provided that the following conditions
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.\" are met:
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.\" 1. Redistributions of source code must retain the above copyright
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.\" notice, this list of conditions and the following disclaimer.
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.\" 2. Redistributions in binary form must reproduce the above copyright
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.\" notice, this list of conditions and the following disclaimer in the
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.\" documentation and/or other materials provided with the distribution.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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.\" ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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.\" SUCH DAMAGE.
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.\"
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.\" This manual page is based on the mp(3X) manual page from Sun Release
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.\" 4.1, dated 7 September 1989. It's an old, crufty, and relatively ugly
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.\" manual page, but it does document what appears to be the "traditional"
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.\" libmp interface.
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.\"
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.\" $FreeBSD$
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.\"
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.\" See above for rationale for this date.
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.Dd September 7, 1989
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.Dt LIBMP 3
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.Os
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.Sh NAME
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.Nm libmp
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.Nd traditional BSD multiple precision integer arithmetic library
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.Sh SYNOPSIS
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.In mp.h
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.Pp
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Function prototypes are given in the main body of the text.
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.Pp
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Applications using this interface must be linked with
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.Fl l Ns Ar mp
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(this library)
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and
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.Fl l Ns Ar crypto
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.Pq Xr crypto 3 .
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.Sh DESCRIPTION
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.Bf -symbolic
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This interface is obsolete in favor of the
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.Xr crypto 3
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.Vt BIGNUM
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library.
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.Ef
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.Pp
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.Nm
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is the traditional
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.Bx
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multiple precision integer arithmetic library.
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It has a number of problems,
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and is unsuitable for use in any programs where reliability is a concern.
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It is provided here for compatibility only.
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.Pp
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These routines perform arithmetic on integers of arbitrary precision
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stored using the defined type
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.Vt MINT .
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Pointers to
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.Vt MINT
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are initialized using
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.Fn mp_itom
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or
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.Fn mp_xtom ,
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and must be recycled with
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.Fn mp_mfree
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when they are no longer needed.
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Routines which store a result in one of their arguments expect that
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the latter has also been initialized prior to being passed to it.
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The following routines are defined and implemented:
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.Pp
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.Ft "MINT *" Ns
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.Fn mp_itom "short n" ;
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.Pp
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.Ft "MINT *" Ns
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.Fn mp_xtom "const char *s" ;
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.Pp
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.Ft "char *" Ns
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.Fn mp_mtox "const MINT *mp" ;
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.Pp
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.Ft void
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.Fn mp_mfree "MINT *mp" ;
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.Bd -ragged -offset indent
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.Fn mp_itom
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returns an
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.Vt MINT
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with the value of
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.Fa n .
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.Fn mp_xtom
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returns an
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.Vt MINT
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with the value of
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.Fa s ,
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which is treated to be in hexadecimal.
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The return values from
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.Fn mp_itom
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and
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.Fn mp_xtom
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must be released with
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.Fn mp_mfree
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when they are no longer needed.
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.Fn mp_mtox
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returns a null-terminated hexadecimal string having the value of
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.Fa mp ;
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its return value must be released with
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.Fn free
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.Pq Xr free 3
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when it is no longer needed.
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.Ed
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.Pp
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.Ft void
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.Fn mp_madd "const MINT *mp1" "const MINT *mp2" "MINT *rmp" ;
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.Pp
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.Ft void
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.Fn mp_msub "const MINT *mp1" "const MINT *mp2" "MINT *rmp" ;
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.Pp
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.Ft void
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.Fn mp_mult "const MINT *mp1" "const MINT *mp2" "MINT *rmp" ;
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.Bd -ragged -offset indent
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.Fn mp_madd ,
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.Fn mp_msub ,
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and
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.Fn mp_mult
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store the sum, difference, or product, respectively, of
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.Fa mp1
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and
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.Fa mp2
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in
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.Fa rmp .
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.Ed
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.Pp
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.Ft void
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.Fn mp_mdiv "const MINT *nmp" "const MINT *dmp" "MINT *qmp" "MINT *rmp" ;
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.Pp
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.Ft void
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.Fn mp_sdiv "const MINT *nmp" "short d" "MINT *qmp" "short *ro" ;
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.Bd -ragged -offset indent
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.Fn mp_mdiv
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computes the quotient and remainder of
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.Fa nmp
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and
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.Fa dmp
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and stores the result in
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.Fa qmp
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and
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.Fa rmp ,
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respectively.
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.Fn mp_sdiv
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is similar to
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.Fn mp_mdiv
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except the divisor
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.Fa ( dmp
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or
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.Fa d )
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and remainder
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.Fa ( rmp
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or
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.Fa ro )
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are ordinary integers.
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.Ed
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.Pp
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.Ft void
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.Fn mp_pow "const MINT *bmp" "const MINT *emp" "const MINT *mmp" "MINT *rmp" ;
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.Pp
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.Ft void
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.Fn mp_rpow "const MINT *bmp" "short e" "MINT *rmp" ;
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.Bd -ragged -offset indent
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.Fn mp_rpow
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computes the result of
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.Fa bmp
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raised to the
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.Fa emp Ns th
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power and reduced modulo
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.Fa mmp ;
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the result is stored in
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.Fa rmp .
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.Fn mp_pow
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computes the result of
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.Fa bmp
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raised to the
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.Fa e Ns th
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power and stores the result in
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.Fa rmp .
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.Ed
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.Pp
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.Ft void
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.Fn mp_min "MINT *mp" ;
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.Pp
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.Ft void
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.Fn mp_mout "const MINT *mp" ;
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.Bd -ragged -offset indent
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.Fn mp_min
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reads a line from standard input, tries to interpret it as a decimal
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number, and if successful, stores the result in
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.Fa mp .
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.Fn mp_mout
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prints the value, in decimal, of
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.Fa mp
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to standard output (without a trailing newline).
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.Ed
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.Pp
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.Ft void
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.Fn mp_gcd "const MINT *mp1" "const MINT *mp2" "MINT *rmp" ;
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.Bd -ragged -offset indent
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.Fn mp_gcd
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computes the greatest common divisor of
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.Fa mp1
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and
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.Fa mp2
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and stores the result in
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.Fa rmp .
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.Ed
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.Pp
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.Ft int
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.Fn mp_mcmp "const MINT *mp1" "const MINT *mp2" ;
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.Bd -ragged -offset indent
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.Fa mcmp
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compares the values of
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.Fa mp1
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and
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.Fa mp2
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and returns
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0 if the two values are equal,
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a value greater than 0 if
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.Fa mp1
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is greater than
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.Fa mp2 ,
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and a value less than 0 if
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.Fa mp2
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is greater than
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.Fa mp1 .
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.Ed
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.Pp
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.Ft void
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.Fn mp_move "const MINT *smp" "MINT *tmp" ;
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.Bd -ragged -offset indent
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.Fn mp_move
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copies the value of
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.Fa smp
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to
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.Fa tmp
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(both values must be initialized).
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.Ed
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.Pp
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.Ft void
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.Fn mp_msqrt "const MINT *nmp" "MINT *xmp" "MINT *rmp" ;
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.Bd -ragged -offset indent
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.Fn mp_msqrt
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computes the square root and remainder of
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.Fa nmp
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and stores them in
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.Fa xmp
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and
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.Fa rmp ,
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respectively.
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.Ed
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.Sh IMPLEMENTATION NOTES
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This version of
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.Nm
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is implemented in terms of the
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.Xr crypto 3
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.Vt BIGNUM
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library.
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.Sh DIAGNOSTICS
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Running out of memory or illegal operations result in error messages
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on standard error and a call to
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.Xr abort 3 .
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.Sh SEE ALSO
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.Xr abort 3 ,
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.Xr bn 3 ,
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.Xr crypto 3 ,
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.Xr free 3 ,
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.Xr malloc 3 ,
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.Xr math 3
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.Sh HISTORY
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A
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.Nm
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library appeared in
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.Bx 4.3 .
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.Fx 2.2
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shipped with a
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.Nm
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implemented in terms of
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.Nm libgmp .
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This implementation appeared in
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.Fx 5.0 .
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.Sh BUGS
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Errors are reported via output to standard error and abnormal
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program termination instead of via return values.
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The application cannot control this behavior.
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.Pp
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It is not clear whether the string returned by
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.Fn mp_mtox
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may be written to by the caller.
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This implementation allows it, but others may not.
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Ideally,
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.Fn mp_mtox
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would take a pointer to a buffer to fill in.
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.Pp
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It is not clear whether using the same variable as both source and
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destination in a single invocation is permitted.
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Some of the calls in this implementation allow this, while others
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do not.
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