primes.h revision 104720
12490Sjkh/*
22490Sjkh * Copyright (c) 1989, 1993
32490Sjkh *	The Regents of the University of California.  All rights reserved.
42490Sjkh *
52490Sjkh * This code is derived from software contributed to Berkeley by
62490Sjkh * Landon Curt Noll.
72490Sjkh *
82490Sjkh * Redistribution and use in source and binary forms, with or without
92490Sjkh * modification, are permitted provided that the following conditions
102490Sjkh * are met:
112490Sjkh * 1. Redistributions of source code must retain the above copyright
122490Sjkh *    notice, this list of conditions and the following disclaimer.
132490Sjkh * 2. Redistributions in binary form must reproduce the above copyright
142490Sjkh *    notice, this list of conditions and the following disclaimer in the
152490Sjkh *    documentation and/or other materials provided with the distribution.
162490Sjkh * 3. All advertising materials mentioning features or use of this software
172490Sjkh *    must display the following acknowledgement:
182490Sjkh *	This product includes software developed by the University of
192490Sjkh *	California, Berkeley and its contributors.
202490Sjkh * 4. Neither the name of the University nor the names of its contributors
212490Sjkh *    may be used to endorse or promote products derived from this software
222490Sjkh *    without specific prior written permission.
232490Sjkh *
242490Sjkh * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
252490Sjkh * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
262490Sjkh * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
272490Sjkh * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
282490Sjkh * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
292490Sjkh * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
302490Sjkh * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
312490Sjkh * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
322490Sjkh * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
332490Sjkh * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
342490Sjkh * SUCH DAMAGE.
352490Sjkh *
362490Sjkh *	@(#)primes.h	8.2 (Berkeley) 3/1/94
37104720Sfanf * $FreeBSD: head/games/primes/primes.h 104720 2002-10-09 19:38:55Z fanf $
382490Sjkh */
392490Sjkh
402490Sjkh/*
412490Sjkh * primes - generate a table of primes between two values
422490Sjkh *
432490Sjkh * By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
442490Sjkh *
452490Sjkh * chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
462490Sjkh */
472490Sjkh
482490Sjkh/* ubig is the type that holds a large unsigned value */
492490Sjkhtypedef unsigned long ubig;		/* must be >=32 bit unsigned value */
502490Sjkh#define	BIG		ULONG_MAX	/* largest value will sieve */
512490Sjkh
522490Sjkh/* bytes in sieve table (must be > 3*5*7*11) */
532490Sjkh#define	TABSIZE		256*1024
54104720Sfanf
55104720Sfanf/*
56104720Sfanf * prime[i] is the (i-1)th prime.
57104720Sfanf *
58104720Sfanf * We are able to sieve 2^32-1 because this byte table yields all primes
59104720Sfanf * up to 65537 and 65537^2 > 2^32-1.
60104720Sfanf */
61104720Sfanfextern const ubig prime[];
62104720Sfanfextern const ubig *const pr_limit;	/* largest prime in the prime array */
63104720Sfanf
64104720Sfanf/*
65104720Sfanf * To avoid excessive sieves for small factors, we use the table below to
66104720Sfanf * setup our sieve blocks.  Each element represents a odd number starting
67104720Sfanf * with 1.  All non-zero elements are factors of 3, 5, 7, 11 and 13.
68104720Sfanf */
69104720Sfanfextern const char pattern[];
70104720Sfanfextern const size_t pattern_size;	/* length of pattern array */
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