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primes.h revision 1.7
      1  1.7  christos /*	$NetBSD: primes.h,v 1.7 2018/02/03 15:40:29 christos Exp $	*/
      2  1.4       cgd 
      3  1.1       cgd /*
      4  1.4       cgd  * Copyright (c) 1989, 1993
      5  1.4       cgd  *	The Regents of the University of California.  All rights reserved.
      6  1.1       cgd  *
      7  1.1       cgd  * This code is derived from software contributed to Berkeley by
      8  1.1       cgd  * Landon Curt Noll.
      9  1.1       cgd  *
     10  1.1       cgd  * Redistribution and use in source and binary forms, with or without
     11  1.1       cgd  * modification, are permitted provided that the following conditions
     12  1.1       cgd  * are met:
     13  1.1       cgd  * 1. Redistributions of source code must retain the above copyright
     14  1.1       cgd  *    notice, this list of conditions and the following disclaimer.
     15  1.1       cgd  * 2. Redistributions in binary form must reproduce the above copyright
     16  1.1       cgd  *    notice, this list of conditions and the following disclaimer in the
     17  1.1       cgd  *    documentation and/or other materials provided with the distribution.
     18  1.5       agc  * 3. Neither the name of the University nor the names of its contributors
     19  1.1       cgd  *    may be used to endorse or promote products derived from this software
     20  1.1       cgd  *    without specific prior written permission.
     21  1.1       cgd  *
     22  1.1       cgd  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     23  1.1       cgd  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     24  1.1       cgd  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     25  1.1       cgd  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     26  1.1       cgd  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     27  1.1       cgd  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     28  1.1       cgd  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     29  1.1       cgd  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     30  1.1       cgd  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     31  1.1       cgd  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     32  1.1       cgd  * SUCH DAMAGE.
     33  1.1       cgd  *
     34  1.4       cgd  *	@(#)primes.h	8.2 (Berkeley) 3/1/94
     35  1.1       cgd  */
     36  1.1       cgd 
     37  1.1       cgd /*
     38  1.1       cgd  * primes - generate a table of primes between two values
     39  1.1       cgd  *
     40  1.6       ast  * By Landon Curt Noll, http://www.isthe.com/chongo/index.html /\oo/\
     41  1.1       cgd  *
     42  1.1       cgd  */
     43  1.1       cgd 
     44  1.6       ast #include <stdint.h>
     45  1.1       cgd 
     46  1.4       cgd /* bytes in sieve table (must be > 3*5*7*11) */
     47  1.4       cgd #define	TABSIZE		256*1024
     48  1.6       ast 
     49  1.6       ast /*
     50  1.6       ast  * prime[i] is the (i-1)th prime.
     51  1.6       ast  *
     52  1.6       ast  * We are able to sieve 2^32-1 because this byte table yields all primes
     53  1.6       ast  * up to 65537 and 65537^2 > 2^32-1.
     54  1.6       ast  */
     55  1.6       ast 
     56  1.6       ast extern const uint64_t prime[];		/* must be >=32 bit unsigned values */
     57  1.6       ast extern const uint64_t *const pr_limit;	/* largest prime in the prime array */
     58  1.6       ast 
     59  1.6       ast /* Maximum size sieving alone can handle. */
     60  1.6       ast #define	SIEVEMAX 4295098368ULL
     61  1.6       ast 
     62  1.6       ast /*
     63  1.6       ast  * To avoid excessive sieves for small factors, we use the table below to
     64  1.6       ast  * setup our sieve blocks.  Each element represents an odd number starting
     65  1.6       ast  * with 1.  All non-zero elements are factors of 3, 5, 7, 11 and 13.
     66  1.6       ast  */
     67  1.6       ast extern const char pattern[];
     68  1.6       ast extern const size_t pattern_size;	/* length of pattern array */
     69  1.6       ast 
     70  1.6       ast /* Test for primality using strong pseudoprime tests. */
     71  1.6       ast int isprime(uint64_t);
     72