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. 16203932Simp * 3. Neither the name of the University nor the names of its contributors 172490Sjkh * may be used to endorse or promote products derived from this software 182490Sjkh * without specific prior written permission. 192490Sjkh * 202490Sjkh * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 212490Sjkh * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 222490Sjkh * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 232490Sjkh * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 242490Sjkh * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 252490Sjkh * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 262490Sjkh * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 272490Sjkh * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 282490Sjkh * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 292490Sjkh * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 302490Sjkh * SUCH DAMAGE. 312490Sjkh * 322490Sjkh * @(#)primes.h 8.2 (Berkeley) 3/1/94 33104720Sfanf * $FreeBSD: releng/11.0/usr.bin/primes/primes.h 272207 2014-09-27 09:00:38Z cperciva $ 342490Sjkh */ 352490Sjkh 362490Sjkh/* 372490Sjkh * primes - generate a table of primes between two values 382490Sjkh * 392490Sjkh * By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo 402490Sjkh * 412490Sjkh * chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\ 422490Sjkh */ 432490Sjkh 44272207Scperciva#include <stdint.h> 45272207Scperciva 462490Sjkh/* ubig is the type that holds a large unsigned value */ 47272207Scpercivatypedef uint64_t ubig; /* must be >=32 bit unsigned value */ 482490Sjkh#define BIG ULONG_MAX /* largest value will sieve */ 492490Sjkh 502490Sjkh/* bytes in sieve table (must be > 3*5*7*11) */ 512490Sjkh#define TABSIZE 256*1024 52104720Sfanf 53104720Sfanf/* 54104720Sfanf * prime[i] is the (i-1)th prime. 55104720Sfanf * 56104720Sfanf * We are able to sieve 2^32-1 because this byte table yields all primes 57104720Sfanf * up to 65537 and 65537^2 > 2^32-1. 58104720Sfanf */ 59104720Sfanfextern const ubig prime[]; 60104720Sfanfextern const ubig *const pr_limit; /* largest prime in the prime array */ 61104720Sfanf 62272166Scperciva/* Maximum size sieving alone can handle. */ 63272166Scperciva#define SIEVEMAX 4295098368ULL 64272166Scperciva 65104720Sfanf/* 66104720Sfanf * To avoid excessive sieves for small factors, we use the table below to 67108533Sschweikh * setup our sieve blocks. Each element represents an odd number starting 68104720Sfanf * with 1. All non-zero elements are factors of 3, 5, 7, 11 and 13. 69104720Sfanf */ 70104720Sfanfextern const char pattern[]; 71104720Sfanfextern const size_t pattern_size; /* length of pattern array */ 72272166Scperciva 73272166Scperciva/* Test for primality using strong pseudoprime tests. */ 74272166Scpercivaint isprime(ubig); 75272166Scperciva 76272166Scperciva/* Maximum value which the SPSP code can handle. */ 77272166Scperciva#define SPSPMAX 3825123056546413050ULL 78