NetBSD/games/factor/factor.6
joerg 6394298f1b Follow the Fundamental Theory of Algebra. Disallow factorising of
numbers less than 2 as it is not
- naturally unique (negative numbers)
- finite (0)
- non-empty (1)

Discussed with the kristaps and wiz
2010-05-15 21:22:39 +00:00

98 lines
3.4 KiB
Groff

.\" $NetBSD: factor.6,v 1.12 2010/05/15 21:22:39 joerg Exp $
.\"
.\" Copyright (c) 1989, 1993
.\" The Regents of the University of California. All rights reserved.
.\"
.\" This code is derived from software contributed to Berkeley by
.\" Landon Curt Noll.
.\"
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.\" @(#)factor.6 8.1 (Berkeley) 5/31/93
.\"
.\"
.\" By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
.\"
.\" chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
.\"
.Dd May 15, 2010
.Dt FACTOR 6
.Os
.Sh NAME
.Nm factor
.Nd factor a number
.Sh SYNOPSIS
.Nm
.Op Ar number ...
.Sh DESCRIPTION
The
.Nm
utility factors integers larger than 1.
When a number is factored, it is printed, followed by a
.Dq \&: ,
and the list of
.Pq prime
factors on a single line.
Factors are listed in ascending order, and are preceded by a space.
If a factor divides a value more than once, it will be printed more than once.
.Pp
When
.Nm
is invoked with one or more arguments, each argument will be factored.
.Pp
When
.Nm
is invoked with no arguments,
.Nm
reads numbers, one per line, from standard input, until end of file or error.
Leading white-space and empty lines are ignored.
Numbers may be preceded by a single +.
Integer less than 2 are rejected.
Numbers are terminated by a non-digit character (such as a newline).
After a number is read, it is factored.
Input lines must not be longer than
.Dv LINE_MAX \- 1
(currently 2047) characters.
.Pp
By default,
.Nm
is compiled against the OpenSSL bignum implementation
.Xr openssl_bn 3 ,
which lets it handle arbitrarily large values.
.Pq Note however that very large values can take a very long time to factor.
If
.Nm
is compiled without OpenSSL it is limited to the maximum value of
.Vt unsigned long .
.Sh DIAGNOSTICS
Out of range or invalid input results in
an appropriate error message
being written to standard error.
.\".Sh BUGS
.\".Nm
.\"cannot handle the
.\".Dq 10 most wanted
.\"factor list.