8cc71b38c2
(or what's left of it, at least) into src/usr.bin. This change will not be MFCed. Discussed at: EuroBSDCon 2014 Committed from: EuroBSDCon 2015
128 lines
3.9 KiB
Groff
128 lines
3.9 KiB
Groff
.\" Copyright (c) 1989, 1993
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.\" The Regents of the University of California. All rights reserved.
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.\"
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.\" This code is derived from software contributed to Berkeley by
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.\" Landon Curt Noll.
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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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.\" 3. Neither the name of the University nor the names of its contributors
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.\" may be used to endorse or promote products derived from this software
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.\" without specific prior written permission.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS 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 REGENTS 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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.\" @(#)factor.6 8.1 (Berkeley) 5/31/93
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.\"
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.\" $FreeBSD$
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.\"
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.\" By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
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.\"
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.\" chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
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.\"
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.Dd October 10, 2002
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.Dt FACTOR 6
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.Os
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.Sh NAME
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.Nm factor , primes
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.Nd factor a number, generate primes
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.Sh SYNOPSIS
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.Nm
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.Op Fl h
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.Op Ar number ...
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.Nm primes
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.Op Fl h
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.Op Ar start Op Ar stop
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.Sh DESCRIPTION
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The
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.Nm
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utility will factor positive integers.
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When a number is factored, it is printed, followed by a
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.Ql \&: ,
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and the list of factors on a single line.
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Factors are listed in ascending order, and are preceded by a space.
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If a factor divides a value more than once, it will be printed more than once.
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.Pp
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When
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.Nm
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is invoked with one or more arguments, each argument will be factored.
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.Pp
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When
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.Nm
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is invoked with no arguments,
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.Nm
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reads numbers, one per line, from standard input, until end of file or error.
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Leading white-space and empty lines are ignored.
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Numbers may be preceded by a single
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.Ql + .
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Numbers are terminated by a non-digit character (such as a newline).
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After a number is read, it is factored.
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.Pp
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The
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.Nm primes
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utility prints primes in ascending order, one per line, starting at or above
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.Ar start
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and continuing until, but not including
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.Ar stop .
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The
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.Ar start
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value must be at least 0 and not greater than
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.Ar stop .
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The
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.Ar stop
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value must not be greater than the maximum.
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The default and maximum value of
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.Ar stop
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is 3825123056546413050.
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.Pp
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When the
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.Nm primes
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utility is invoked with no arguments,
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.Ar start
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is read from standard input and
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.Ar stop
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is taken to be the maximum.
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The
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.Ar start
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value may be preceded by a single
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.Ql + .
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The
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.Ar start
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value is terminated by a non-digit character (such as a newline).
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.Sh DIAGNOSTICS
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.Bl -diag
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.It "negative numbers aren't permitted"
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.It "illegal numeric format"
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.It "start value must be less than stop value"
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.It "Result too large"
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.El
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.Sh BUGS
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.Nm
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cannot handle the
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.Dq "10 most wanted"
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factor list,
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.Nm primes
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will not get you a world record.
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.Pp
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.Nm primes
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is unable to list primes between 3825123056546413050 and 18446744073709551615
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since it relies on strong pseudoprime tests after sieving, and nobody has
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proven how many strong pseudoprime tests are required to prove primality for
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integers larger than 3825123056546413050.
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