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Revision 1.6, Thu Oct 2 21:36:37 2014 UTC (9 years, 5 months ago) by ast
Imported and adapted from FreeBSD svn r272166 and r272207; this fixes false positives for products of primes larger than 2^16. For example, before this commit: $ /usr/games/primes 4295360521 4295360522 4295360521 but $ /usr/games/factor 4295360521 4295360521: 65539 65539 or $ /usr/games/primes 3825123056546413049 3825123056546413050 3825123056546413049 yet $ /usr/games/factor 3825123056546413049 3825123056546413049: 165479 23115459100831 or $ /usr/games/primes 18446744073709551577 18446744073709551577 although $ /usr/games/factor 18446744073709551577 18446744073709551577: 139646831 132095686967 Incidentally, the above examples show the smallest and largest cases that were erroneously stated as prime in the range 2^32 .. 3825123056546413049 .. 2^64; the primes(6) program now stops at 3825123056546413050 as primality tests on larger integers would be by brute force factorization. In addition, special to the NetBSD version: . for -d option, skip first difference when start is >65537 as it is incorrect . corrected usage to mention both the existing -d as well as the new -h option For original FreeBSD commit message by Colin Percival, see: http://svnweb.freebsd.org/base?view=revision&revision=272166 |
/* $NetBSD: primes.h,v 1.6 2014/10/02 21:36:37 ast 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. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. Neither the name of the University nor the names of its contributors * may be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. * * @(#)primes.h 8.2 (Berkeley) 3/1/94 */ /* * primes - generate a table of primes between two values * * By Landon Curt Noll, http://www.isthe.com/chongo/index.html /\oo/\ * */ #include <stdint.h> /* bytes in sieve table (must be > 3*5*7*11) */ #define TABSIZE 256*1024 /* * prime[i] is the (i-1)th prime. * * We are able to sieve 2^32-1 because this byte table yields all primes * up to 65537 and 65537^2 > 2^32-1. */ extern const uint64_t prime[]; /* must be >=32 bit unsigned values */ extern const uint64_t *const pr_limit; /* largest prime in the prime array */ /* Maximum size sieving alone can handle. */ #define SIEVEMAX 4295098368ULL /* * To avoid excessive sieves for small factors, we use the table below to * setup our sieve blocks. Each element represents an odd number starting * with 1. All non-zero elements are factors of 3, 5, 7, 11 and 13. */ extern const char pattern[]; extern const size_t pattern_size; /* length of pattern array */ /* Test for primality using strong pseudoprime tests. */ int isprime(uint64_t); /* Maximum value which the SPSP code can handle. */ #define SPSPMAX 3825123056546413050ULL