2 * Copyright (c) 1989, 1993
3 * The Regents of the University of California. All rights reserved.
5 * This code is derived from software contributed to Berkeley by
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
11 * 1. Redistributions of source code must retain the above copyright
12 * notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 * notice, this list of conditions and the following disclaimer in the
15 * documentation and/or other materials provided with the distribution.
16 * 3. Neither the name of the University nor the names of its contributors
17 * may be used to endorse or promote products derived from this software
18 * without specific prior written permission.
20 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
21 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
23 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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34 static const char copyright[] =
35 "@(#) Copyright (c) 1989, 1993\n\
36 The Regents of the University of California. All rights reserved.\n";
41 static char sccsid[] = "@(#)primes.c 8.5 (Berkeley) 5/10/95";
43 static const char rcsid[] =
48 * primes - generate a table of primes between two values
50 * By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo
52 * chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
55 * primes [-h] [start [stop]]
57 * Print primes >= start and < stop. If stop is omitted,
58 * the value 18446744073709551615 (2^64-1) is assumed. If
59 * start is omitted, start is read from standard input.
61 * validation check: there are 664579 primes between 0 and 10^7
64 #include <capsicum_helpers.h>
80 * Eratosthenes sieve table
82 * We only sieve the odd numbers. The base of our sieve windows are always
83 * odd. If the base of table is 1, table[i] represents 2*i-1. After the
84 * sieve, table[i] == 1 if and only if 2*i-1 is prime.
86 * We make TABSIZE large to reduce the overhead of inner loop setup.
88 static char table[TABSIZE]; /* Eratosthenes sieve of odd numbers */
92 static void primes(ubig, ubig);
93 static ubig read_num_buf(void);
94 static void usage(void);
97 main(int argc, char *argv[])
99 ubig start; /* where to start generating */
100 ubig stop; /* don't generate at or above this value */
104 caph_cache_catpages();
105 if (caph_enter() < 0)
108 while ((ch = getopt(argc, argv, "h")) != -1)
121 stop = (uint64_t)(-1);
124 * Convert low and high args. Strtoumax(3) sets errno to
125 * ERANGE if the number is too large, but, if there's
126 * a leading minus sign it returns the negation of the
127 * result of the conversion, which we'd rather disallow.
131 /* Start and stop supplied on the command line. */
132 if (argv[0][0] == '-' || argv[1][0] == '-')
133 errx(1, "negative numbers aren't permitted.");
136 start = strtoumax(argv[0], &p, 0);
138 err(1, "%s", argv[0]);
140 errx(1, "%s: illegal numeric format.", argv[0]);
143 stop = strtoumax(argv[1], &p, 0);
145 err(1, "%s", argv[1]);
147 errx(1, "%s: illegal numeric format.", argv[1]);
150 /* Start on the command line. */
151 if (argv[0][0] == '-')
152 errx(1, "negative numbers aren't permitted.");
155 start = strtoumax(argv[0], &p, 0);
157 err(1, "%s", argv[0]);
159 errx(1, "%s: illegal numeric format.", argv[0]);
162 start = read_num_buf();
169 errx(1, "start value must be less than stop value.");
176 * This routine returns a number n, where 0 <= n && n <= BIG.
182 char *p, buf[LINE_MAX]; /* > max number of digits. */
185 if (fgets(buf, sizeof(buf), stdin) == NULL) {
190 for (p = buf; isblank(*p); ++p);
191 if (*p == '\n' || *p == '\0')
194 errx(1, "negative numbers aren't permitted.");
196 val = strtoumax(buf, &p, 0);
200 errx(1, "%s: illegal numeric format.", buf);
206 * primes - sieve and print primes from start up to and but not including stop
209 primes(ubig start, ubig stop)
211 char *q; /* sieve spot */
212 ubig factor; /* index and factor */
213 char *tab_lim; /* the limit to sieve on the table */
214 const ubig *p; /* prime table pointer */
215 ubig fact_lim; /* highest prime for current block */
216 ubig mod; /* temp storage for mod */
219 * A number of systems can not convert double values into unsigned
220 * longs when the values are larger than the largest signed value.
221 * We don't have this problem, so we can go all the way to BIG.
234 * be sure that the values are odd, or 2
236 if (start != 2 && (start&0x1) == 0) {
239 if (stop != 2 && (stop&0x1) == 0) {
244 * quick list of primes <= pr_limit
246 if (start <= *pr_limit) {
247 /* skip primes up to the start value */
248 for (p = &prime[0], factor = prime[0];
249 factor < stop && p <= pr_limit; factor = *(++p)) {
250 if (factor >= start) {
251 printf(hflag ? "%" PRIx64 "\n" : "%" PRIu64 "\n", factor);
254 /* return early if we are done */
262 * we shall sieve a bytemap window, note primes and move the window
263 * upward until we pass the stop point
265 while (start < stop) {
267 * factor out 3, 5, 7, 11 and 13
269 /* initial pattern copy */
270 factor = (start%(2*3*5*7*11*13))/2; /* starting copy spot */
271 memcpy(table, &pattern[factor], pattern_size-factor);
272 /* main block pattern copies */
273 for (fact_lim=pattern_size-factor;
274 fact_lim+pattern_size<=TABSIZE; fact_lim+=pattern_size) {
275 memcpy(&table[fact_lim], pattern, pattern_size);
277 /* final block pattern copy */
278 memcpy(&table[fact_lim], pattern, TABSIZE-fact_lim);
281 * sieve for primes 17 and higher
283 /* note highest useful factor and sieve spot */
284 if (stop-start > TABSIZE+TABSIZE) {
285 tab_lim = &table[TABSIZE]; /* sieve it all */
286 fact_lim = sqrt(start+1.0+TABSIZE+TABSIZE);
288 tab_lim = &table[(stop-start)/2]; /* partial sieve */
289 fact_lim = sqrt(stop+1.0);
291 /* sieve for factors >= 17 */
292 factor = 17; /* 17 is first prime to use */
293 p = &prime[7]; /* 19 is next prime, pi(19)=7 */
295 /* determine the factor's initial sieve point */
298 q = &table[(factor-mod)/2];
300 q = &table[mod ? factor-(mod/2) : 0];
302 /* sive for our current factor */
303 for ( ; q < tab_lim; q += factor) {
304 *q = '\0'; /* sieve out a spot */
307 } while (factor <= fact_lim);
310 * print generated primes
312 for (q = table; q < tab_lim; ++q, start+=2) {
314 if (start > SIEVEMAX) {
318 printf(hflag ? "%" PRIx64 "\n" : "%" PRIu64 "\n", start);
327 fprintf(stderr, "usage: primes [-h] [start [stop]]\n");