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Revision 1.7, Sat Feb 3 15:40:29 2018 UTC (2 years, 11 months ago) by christos
Branch: MAIN
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Changes since 1.6: +1 -4 lines

PR/52976: Eitan Adler: handle larger primes
Using results from
    J. Sorenson and J. Webster, Strong pseudoprimes to twelve prime
    bases, Math. Comp. 86(304):985-1003, 2017.
teach primes(6) to enumerate primes up to 2^64 - 1.  Until Sorenson
and Webster's paper, we did not know how many strong speudoprime tests
were required when testing alleged primes between 3825123056546413051
and 2^64 - 1.

Adapted from: FreeBSD

/*	$NetBSD: primes.h,v 1.7 2018/02/03 15:40:29 christos 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);