Importing games/factor
Replaces commands/factor. No Minix specific changes needed. Change-Id: Ie2a58534c59a1ebbf922d483fb27abd8dffd1f5f
This commit is contained in:
parent
d1878c29f6
commit
c1f592a24c
11 changed files with 502 additions and 86 deletions
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@ -8,7 +8,7 @@ SUBDIR= add_route arp ash at backup btrace \
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compress cp crc cron crontab \
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dd decomp16 DESCRIBE devmand devsize dhcpd \
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dhrystone diff diskctl \
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eject factor fbdctl \
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eject fbdctl \
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find fix format fortune fsck.mfs \
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gcov-pull grep host \
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hostaddr ifconfig ifdef \
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@ -1,4 +0,0 @@
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PROG= factor
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MAN=
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.include <bsd.prog.mk>
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@ -1,53 +0,0 @@
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/* factor - print the prime factors of a number Author: Andy Tanenbaum */
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#include <stdlib.h>
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#include <stdio.h>
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int main(int argc, char **argv);
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long first(long k);
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int main(argc, argv)
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int argc;
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char *argv[];
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{
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/* Factor a number */
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long i, n, flag = 0;
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if (argc != 2 || (n = atol(argv[1])) < 2) {
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printf("Usage: factor n (2 <= n < 2**31)\n");
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exit(1);
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}
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if (n == 2) {
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printf("2 is a prime\n");
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exit(0);
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}
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while (1) {
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i = first(n);
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if (i == 0) {
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if (flag == 0)
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printf("%ld is a prime\n", n);
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else
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printf("%ld\n", n);
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exit(0);
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}
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printf("%ld ", i);
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n = n / i;
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flag = 1;
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}
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}
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long first(k)
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long k;
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{
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/* Return the first factor of k. If it is a prime, return 0; */
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long i;
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if (k == 2) return(0);
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if (k % 2 == 0) return (2);
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for (i = 3; i <= k / 3; i += 2)
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if (k % i == 0) return(i);
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return(0);
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}
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@ -289,7 +289,6 @@
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./usr/bin/env minix-sys
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./usr/bin/ex minix-sys
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./usr/bin/expand minix-sys
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./usr/bin/factor minix-sys
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./usr/bin/false minix-sys
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./usr/bin/fbdctl minix-sys
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./usr/bin/fdisk minix-sys
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@ -558,6 +557,7 @@
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./usr/etc/rc minix-sys
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./usr/games minix-sys
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./usr/games/adventure minix-sys
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./usr/games/factor minix-sys
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./usr/games/hide minix-sys
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./usr/games/primes minix-sys
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./usr/include minix-sys
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@ -2041,7 +2041,6 @@
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./usr/man/man1/expand.1 minix-sys
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./usr/man/man1/export.1 minix-sys
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./usr/man/man1/expr.1 minix-sys
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./usr/man/man1/factor.1 minix-sys
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./usr/man/man1/false.1 minix-sys
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./usr/man/man1/fetch.1 minix-sys
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./usr/man/man1/fgrep.1 minix-sys
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@ -4751,6 +4750,7 @@
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./usr/man/man5/utmp.5 minix-sys
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./usr/man/man6 minix-sys
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./usr/man/man6/adventure.6 minix-sys
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./usr/man/man6/factor.6 minix-sys
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./usr/man/man6/primes.6 minix-sys
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./usr/man/man7 minix-sys
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./usr/man/man7/ascii.7 minix-sys
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@ -10,7 +10,7 @@
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SUBDIR= adventure \
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\
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\
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\
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factor \
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\
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primes
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22
games/factor/Makefile
Normal file
22
games/factor/Makefile
Normal file
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@ -0,0 +1,22 @@
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# $NetBSD: Makefile,v 1.12 2005/03/09 03:11:21 christos Exp $
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# @(#)Makefile 8.1 (Berkeley) 5/31/93
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# For MKCRYPTO
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.include <bsd.own.mk>
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PRIMES= ${NETBSDSRCDIR}/games/primes
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PROG= factor
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SRCS= factor.c pr_tbl.c
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CPPFLAGS+=-I${PRIMES}
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.if (${MKCRYPTO} != "no")
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CPPFLAGS+=-DHAVE_OPENSSL
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LDADD+= -lcrypto -lcrypt
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DPADD+= ${LIBCRYPTO} ${LIBCRYPT}
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.endif
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MAN= factor.6
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.PATH: ${PRIMES}
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.include <bsd.prog.mk>
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97
games/factor/factor.6
Normal file
97
games/factor/factor.6
Normal file
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@ -0,0 +1,97 @@
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.\" $NetBSD: factor.6,v 1.12 2010/05/15 21:22:39 joerg Exp $
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.\"
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.\" 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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.\"
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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 May 15, 2010
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.Dt FACTOR 6
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.Os
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.Sh NAME
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.Nm factor
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.Nd factor a number
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.Sh SYNOPSIS
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.Nm
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.Op Ar number ...
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.Sh DESCRIPTION
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The
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.Nm
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utility factors integers larger than 1.
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When a number is factored, it is printed, followed by a
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.Dq \&: ,
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and the list of
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.Pq prime
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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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Integer less than 2 are rejected.
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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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Input lines must not be longer than
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.Dv LINE_MAX \- 1
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(currently 2047) characters.
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.Pp
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By default,
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.Nm
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is compiled against the OpenSSL bignum implementation
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.Xr openssl_bn 3 ,
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which lets it handle arbitrarily large values.
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.Pq Note however that very large values can take a very long time to factor.
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If
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.Nm
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is compiled without OpenSSL it is limited to the maximum value of
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.Vt unsigned long .
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.Sh DIAGNOSTICS
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Out of range or invalid input results in
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an appropriate error message
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being written to standard error.
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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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378
games/factor/factor.c
Normal file
378
games/factor/factor.c
Normal file
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@ -0,0 +1,378 @@
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/* $NetBSD: factor.c,v 1.26 2011/11/09 20:17:44 drochner Exp $ */
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/*
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* 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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#include <sys/cdefs.h>
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#ifndef lint
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__COPYRIGHT("@(#) Copyright (c) 1989, 1993\
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The Regents of the University of California. All rights reserved.");
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#endif /* not lint */
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#ifndef lint
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#if 0
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static char sccsid[] = "@(#)factor.c 8.4 (Berkeley) 5/4/95";
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#else
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__RCSID("$NetBSD: factor.c,v 1.26 2011/11/09 20:17:44 drochner Exp $");
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#endif
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#endif /* not lint */
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/*
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* factor - factor a number into primes
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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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* usage:
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* factor [number] ...
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*
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* The form of the output is:
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*
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* number: factor1 factor1 factor2 factor3 factor3 factor3 ...
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*
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* where factor1 <= factor2 <= factor3 <= ...
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*
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* If no args are given, the list of numbers are read from stdin.
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*/
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#include <ctype.h>
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#include <err.h>
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#include <errno.h>
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#include <limits.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <unistd.h>
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#ifdef HAVE_OPENSSL
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#include <openssl/bn.h>
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#else
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typedef long BIGNUM;
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typedef u_long BN_ULONG;
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static int BN_dec2bn(BIGNUM **a, const char *str);
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#define BN_new() ((BIGNUM *)calloc(sizeof(BIGNUM), 1))
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#define BN_is_zero(v) (*(v) == 0)
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#define BN_is_one(v) (*(v) == 1)
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#define BN_mod_word(a, b) (*(a) % (b))
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#endif
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#include "primes.h"
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/*
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* prime[i] is the (i-1)th prime.
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*
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* We are able to sieve 2^32-1 because this byte table yields all primes
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* up to 65537 and 65537^2 > 2^32-1.
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*/
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extern const ubig prime[];
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extern const ubig *pr_limit; /* largest prime in the prime array */
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#if 0 /* debugging: limit table use to stress the "pollard" code */
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#define pr_limit &prime[0]
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#endif
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#define PRIME_CHECKS 5
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#ifdef HAVE_OPENSSL
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static BN_CTX *ctx; /* just use a global context */
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#endif
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static void pr_fact(BIGNUM *); /* print factors of a value */
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static void BN_print_dec_fp(FILE *, const BIGNUM *);
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static void usage(void) __dead;
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#ifdef HAVE_OPENSSL
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static void pollard_rho(BIGNUM *); /* print factors for big numbers */
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#else
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static char *BN_bn2dec(const BIGNUM *);
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static BN_ULONG BN_div_word(BIGNUM *, BN_ULONG);
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#endif
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#ifndef HAVE_OPENSSL
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static int
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BN_dec2bn(BIGNUM **a, const char *str)
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{
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char *p;
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errno = 0;
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**a = strtoul(str, &p, 10);
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if (errno)
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err(1, "%s", str);
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return (*p == '\n' || *p == '\0');
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}
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#endif
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int
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main(int argc, char *argv[])
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{
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BIGNUM *val;
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int ch;
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char *p, buf[LINE_MAX]; /* > max number of digits. */
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#ifdef HAVE_OPENSSL
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ctx = BN_CTX_new();
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#endif
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val = BN_new();
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if (val == NULL)
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errx(1, "can't initialise bignum");
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while ((ch = getopt(argc, argv, "")) != -1)
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switch (ch) {
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case '?':
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default:
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usage();
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}
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argc -= optind;
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argv += optind;
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||||
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||||
/* No args supplied, read numbers from stdin. */
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if (argc == 0)
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for (;;) {
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||||
if (fgets(buf, sizeof(buf), stdin) == NULL) {
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||||
if (ferror(stdin))
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||||
err(1, "stdin");
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exit (0);
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||||
}
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||||
for (p = buf; isblank((unsigned char)*p); ++p);
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if (*p == '\n' || *p == '\0')
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continue;
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||||
if (*p == '-')
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errx(1, "negative numbers aren't permitted.");
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if (BN_dec2bn(&val, buf) == 0)
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errx(1, "%s: illegal numeric format.", argv[0]);
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pr_fact(val);
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}
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/* Factor the arguments. */
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else
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for (; *argv != NULL; ++argv) {
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if (argv[0][0] == '-')
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errx(1, "numbers <= 1 aren't permitted.");
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if (BN_dec2bn(&val, argv[0]) == 0)
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errx(1, "%s: illegal numeric format.", argv[0]);
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pr_fact(val);
|
||||
}
|
||||
exit(0);
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||||
}
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||||
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||||
/*
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||||
* pr_fact - print the factors of a number
|
||||
*
|
||||
* If the number is 0 or 1, then print the number and return.
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* If the number is < 0, print -1, negate the number and continue
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* processing.
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||||
*
|
||||
* Print the factors of the number, from the lowest to the highest.
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* A factor will be printed numtiple times if it divides the value
|
||||
* multiple times.
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*
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* Factors are printed with leading tabs.
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||||
*/
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static void
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pr_fact(BIGNUM *val)
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{
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const ubig *fact; /* The factor found. */
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/* Firewall - catch 0 and 1. */
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if (BN_is_zero(val) || BN_is_one(val))
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errx(1, "numbers <= 1 aren't permitted.");
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/* Factor value. */
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BN_print_dec_fp(stdout, val);
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putchar(':');
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for (fact = &prime[0]; !BN_is_one(val); ++fact) {
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/* Look for the smallest factor. */
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while (fact <= pr_limit) {
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if (BN_mod_word(val, (BN_ULONG)*fact) == 0)
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break;
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fact++;
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}
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/* Watch for primes larger than the table. */
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||||
if (fact > pr_limit) {
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#ifdef HAVE_OPENSSL
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BIGNUM *bnfact;
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||||
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bnfact = BN_new();
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BN_set_word(bnfact, (BN_ULONG)*(fact - 1));
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BN_sqr(bnfact, bnfact, ctx);
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if (BN_cmp(bnfact, val) > 0
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|| BN_is_prime(val, PRIME_CHECKS, NULL, NULL,
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NULL) == 1) {
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putchar(' ');
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BN_print_dec_fp(stdout, val);
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} else
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pollard_rho(val);
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#else
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printf(" %s", BN_bn2dec(val));
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#endif
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break;
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}
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/* Divide factor out until none are left. */
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do {
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printf(" %lu", *fact);
|
||||
BN_div_word(val, (BN_ULONG)*fact);
|
||||
} while (BN_mod_word(val, (BN_ULONG)*fact) == 0);
|
||||
|
||||
/* Let the user know we're doing something. */
|
||||
fflush(stdout);
|
||||
}
|
||||
putchar('\n');
|
||||
}
|
||||
|
||||
/*
|
||||
* Sigh.. No _decimal_ output to file functions in BN.
|
||||
*/
|
||||
static void
|
||||
BN_print_dec_fp(FILE *fp, const BIGNUM *num)
|
||||
{
|
||||
char *buf;
|
||||
|
||||
buf = BN_bn2dec(num);
|
||||
if (buf == NULL)
|
||||
return; /* XXX do anything here? */
|
||||
fprintf(fp, "%s", buf);
|
||||
free(buf);
|
||||
}
|
||||
|
||||
void
|
||||
usage(void)
|
||||
{
|
||||
fprintf(stderr, "usage: factor [value ...]\n");
|
||||
exit (0);
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
#ifdef HAVE_OPENSSL
|
||||
static void
|
||||
pollard_rho(BIGNUM *val)
|
||||
{
|
||||
BIGNUM *x, *y, *tmp, *num;
|
||||
BN_ULONG a;
|
||||
unsigned int steps_taken, steps_limit;
|
||||
|
||||
x = BN_new();
|
||||
y = BN_new();
|
||||
tmp = BN_new();
|
||||
num = BN_new();
|
||||
a = 1;
|
||||
restart:
|
||||
steps_taken = 0;
|
||||
steps_limit = 2;
|
||||
BN_set_word(x, 1);
|
||||
BN_copy(y, x);
|
||||
|
||||
for (;;) {
|
||||
BN_sqr(tmp, x, ctx);
|
||||
BN_add_word(tmp, a);
|
||||
BN_mod(x, tmp, val, ctx);
|
||||
BN_sub(tmp, x, y);
|
||||
if (BN_is_zero(tmp)) {
|
||||
#ifdef DEBUG
|
||||
printf(" (loop)");
|
||||
#endif
|
||||
a++;
|
||||
goto restart;
|
||||
}
|
||||
BN_gcd(tmp, tmp, val, ctx);
|
||||
|
||||
if (!BN_is_one(tmp)) {
|
||||
if (BN_is_prime(tmp, PRIME_CHECKS, NULL, NULL,
|
||||
NULL) == 1) {
|
||||
putchar(' ');
|
||||
BN_print_dec_fp(stdout, tmp);
|
||||
} else {
|
||||
#ifdef DEBUG
|
||||
printf(" (recurse for ");
|
||||
BN_print_dec_fp(stdout, tmp);
|
||||
putchar(')');
|
||||
#endif
|
||||
pollard_rho(BN_dup(tmp));
|
||||
#ifdef DEBUG
|
||||
printf(" (back)");
|
||||
#endif
|
||||
}
|
||||
fflush(stdout);
|
||||
|
||||
BN_div(num, NULL, val, tmp, ctx);
|
||||
if (BN_is_one(num))
|
||||
return;
|
||||
if (BN_is_prime(num, PRIME_CHECKS, NULL, NULL,
|
||||
NULL) == 1) {
|
||||
putchar(' ');
|
||||
BN_print_dec_fp(stdout, num);
|
||||
fflush(stdout);
|
||||
return;
|
||||
}
|
||||
BN_copy(val, num);
|
||||
goto restart;
|
||||
}
|
||||
steps_taken++;
|
||||
if (steps_taken == steps_limit) {
|
||||
BN_copy(y, x); /* teleport the turtle */
|
||||
steps_taken = 0;
|
||||
steps_limit *= 2;
|
||||
if (steps_limit == 0) {
|
||||
#ifdef DEBUG
|
||||
printf(" (overflow)");
|
||||
#endif
|
||||
a++;
|
||||
goto restart;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
#else
|
||||
char *
|
||||
BN_bn2dec(const BIGNUM *val)
|
||||
{
|
||||
char *buf;
|
||||
|
||||
buf = malloc(100);
|
||||
if (!buf)
|
||||
return buf;
|
||||
snprintf(buf, 100, "%ld", (long)*val);
|
||||
return buf;
|
||||
}
|
||||
|
||||
static BN_ULONG
|
||||
BN_div_word(BIGNUM *a, BN_ULONG b)
|
||||
{
|
||||
BN_ULONG mod;
|
||||
|
||||
mod = *a % b;
|
||||
*a /= b;
|
||||
return mod;
|
||||
}
|
||||
#endif
|
|
@ -4,7 +4,6 @@ MAN= ash.1 at.1 \
|
|||
cp.1 crc.1 crontab.1 dd.1 \
|
||||
dhrystone.1 dosdir.1 dosread.1 doswrite.1 \
|
||||
eject.1 \
|
||||
factor.1 \
|
||||
flexdoc.1 format.1 fortune.1 \
|
||||
fsck.mfs.1 host.1 hostaddr.1 ifdef.1 \
|
||||
isodir.1 isoinfo.1 isoread.1 \
|
||||
|
|
|
@ -1,24 +0,0 @@
|
|||
.TH FACTOR 1
|
||||
.SH NAME
|
||||
factor \- factor an integer less than 2**31
|
||||
.SH SYNOPSIS
|
||||
\fBfactor \fInumber\fR
|
||||
.br
|
||||
.de FL
|
||||
.TP
|
||||
\\fB\\$1\\fR
|
||||
\\$2
|
||||
..
|
||||
.de EX
|
||||
.TP 20
|
||||
\\fB\\$1\\fR
|
||||
# \\$2
|
||||
..
|
||||
.SH EXAMPLES
|
||||
.TP 20
|
||||
.B factor 450180
|
||||
# Print the prime factors of 450180
|
||||
.SH DESCRIPTION
|
||||
.PP
|
||||
\fIFactor\fR prints the prime factors of its argument in increasing order.
|
||||
Each factor is printed as many times as it appears in the number.
|
|
@ -69,6 +69,7 @@
|
|||
2013/12/1 12:00:00,external/public-domain
|
||||
2013/12/1 12:00:00,external/README
|
||||
2013/12/1 12:00:00,games/adventure
|
||||
2013/12/1 12:00:00,games/factor
|
||||
2013/12/1 12:00:00,games/Makefile
|
||||
2013/12/1 12:00:00,games/Makefile.inc
|
||||
2013/12/1 12:00:00,games/primes
|
||||
|
|
Loading…
Reference in a new issue