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