1 /* 2 * Copyright (c) 1989, 1993 3 * The Regents of the University of California. All rights reserved. 4 * 5 * This code is derived from software contributed to Berkeley by 6 * Landon Curt Noll. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 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. 19 * 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 24 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 25 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 26 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 27 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 28 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 29 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 30 * SUCH DAMAGE. 31 */ 32 33 #ifndef lint 34 static const char copyright[] = 35 "@(#) Copyright (c) 1989, 1993\n\ 36 The Regents of the University of California. All rights reserved.\n"; 37 #endif /* not lint */ 38 39 #ifndef lint 40 #if 0 41 static char sccsid[] = "@(#)primes.c 8.5 (Berkeley) 5/10/95"; 42 #endif 43 static const char rcsid[] = 44 "$FreeBSD$"; 45 #endif /* not lint */ 46 47 /* 48 * primes - generate a table of primes between two values 49 * 50 * By: Landon Curt Noll chongo@toad.com, ...!{sun,tolsoft}!hoptoad!chongo 51 * 52 * chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\ 53 * 54 * usage: 55 * primes [-h] [start [stop]] 56 * 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. 60 * 61 * validation check: there are 664579 primes between 0 and 10^7 62 */ 63 64 #include <capsicum_helpers.h> 65 #include <ctype.h> 66 #include <err.h> 67 #include <errno.h> 68 #include <inttypes.h> 69 #include <limits.h> 70 #include <math.h> 71 #include <stdio.h> 72 #include <stdlib.h> 73 #include <string.h> 74 #include <nl_types.h> 75 #include <unistd.h> 76 77 #include "primes.h" 78 79 /* 80 * Eratosthenes sieve table 81 * 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. 85 * 86 * We make TABSIZE large to reduce the overhead of inner loop setup. 87 */ 88 static char table[TABSIZE]; /* Eratosthenes sieve of odd numbers */ 89 90 static int hflag; 91 92 static void primes(ubig, ubig); 93 static ubig read_num_buf(void); 94 static void usage(void); 95 96 int 97 main(int argc, char *argv[]) 98 { 99 ubig start; /* where to start generating */ 100 ubig stop; /* don't generate at or above this value */ 101 int ch; 102 char *p; 103 104 caph_cache_catpages(); 105 if (caph_enter() < 0) 106 err(1, "cap_enter"); 107 108 while ((ch = getopt(argc, argv, "h")) != -1) 109 switch (ch) { 110 case 'h': 111 hflag++; 112 break; 113 case '?': 114 default: 115 usage(); 116 } 117 argc -= optind; 118 argv += optind; 119 120 start = 0; 121 stop = (uint64_t)(-1); 122 123 /* 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. 128 */ 129 switch (argc) { 130 case 2: 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."); 134 135 errno = 0; 136 start = strtoumax(argv[0], &p, 0); 137 if (errno) 138 err(1, "%s", argv[0]); 139 if (*p != '\0') 140 errx(1, "%s: illegal numeric format.", argv[0]); 141 142 errno = 0; 143 stop = strtoumax(argv[1], &p, 0); 144 if (errno) 145 err(1, "%s", argv[1]); 146 if (*p != '\0') 147 errx(1, "%s: illegal numeric format.", argv[1]); 148 break; 149 case 1: 150 /* Start on the command line. */ 151 if (argv[0][0] == '-') 152 errx(1, "negative numbers aren't permitted."); 153 154 errno = 0; 155 start = strtoumax(argv[0], &p, 0); 156 if (errno) 157 err(1, "%s", argv[0]); 158 if (*p != '\0') 159 errx(1, "%s: illegal numeric format.", argv[0]); 160 break; 161 case 0: 162 start = read_num_buf(); 163 break; 164 default: 165 usage(); 166 } 167 168 if (start > stop) 169 errx(1, "start value must be less than stop value."); 170 primes(start, stop); 171 return (0); 172 } 173 174 /* 175 * read_num_buf -- 176 * This routine returns a number n, where 0 <= n && n <= BIG. 177 */ 178 static ubig 179 read_num_buf(void) 180 { 181 ubig val; 182 char *p, buf[LINE_MAX]; /* > max number of digits. */ 183 184 for (;;) { 185 if (fgets(buf, sizeof(buf), stdin) == NULL) { 186 if (ferror(stdin)) 187 err(1, "stdin"); 188 exit(0); 189 } 190 for (p = buf; isblank(*p); ++p); 191 if (*p == '\n' || *p == '\0') 192 continue; 193 if (*p == '-') 194 errx(1, "negative numbers aren't permitted."); 195 errno = 0; 196 val = strtoumax(buf, &p, 0); 197 if (errno) 198 err(1, "%s", buf); 199 if (*p != '\n') 200 errx(1, "%s: illegal numeric format.", buf); 201 return (val); 202 } 203 } 204 205 /* 206 * primes - sieve and print primes from start up to and but not including stop 207 */ 208 static void 209 primes(ubig start, ubig stop) 210 { 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 */ 217 218 /* 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. 222 */ 223 if (start < 3) { 224 start = (ubig)2; 225 } 226 if (stop < 3) { 227 stop = (ubig)2; 228 } 229 if (stop <= start) { 230 return; 231 } 232 233 /* 234 * be sure that the values are odd, or 2 235 */ 236 if (start != 2 && (start&0x1) == 0) { 237 ++start; 238 } 239 if (stop != 2 && (stop&0x1) == 0) { 240 ++stop; 241 } 242 243 /* 244 * quick list of primes <= pr_limit 245 */ 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); 252 } 253 } 254 /* return early if we are done */ 255 if (p <= pr_limit) { 256 return; 257 } 258 start = *pr_limit+2; 259 } 260 261 /* 262 * we shall sieve a bytemap window, note primes and move the window 263 * upward until we pass the stop point 264 */ 265 while (start < stop) { 266 /* 267 * factor out 3, 5, 7, 11 and 13 268 */ 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); 276 } 277 /* final block pattern copy */ 278 memcpy(&table[fact_lim], pattern, TABSIZE-fact_lim); 279 280 /* 281 * sieve for primes 17 and higher 282 */ 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); 287 } else { 288 tab_lim = &table[(stop-start)/2]; /* partial sieve */ 289 fact_lim = sqrt(stop+1.0); 290 } 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 */ 294 do { 295 /* determine the factor's initial sieve point */ 296 mod = start%factor; 297 if (mod & 0x1) { 298 q = &table[(factor-mod)/2]; 299 } else { 300 q = &table[mod ? factor-(mod/2) : 0]; 301 } 302 /* sive for our current factor */ 303 for ( ; q < tab_lim; q += factor) { 304 *q = '\0'; /* sieve out a spot */ 305 } 306 factor = *p++; 307 } while (factor <= fact_lim); 308 309 /* 310 * print generated primes 311 */ 312 for (q = table; q < tab_lim; ++q, start+=2) { 313 if (*q) { 314 if (start > SIEVEMAX) { 315 if (!isprime(start)) 316 continue; 317 } 318 printf(hflag ? "%" PRIx64 "\n" : "%" PRIu64 "\n", start); 319 } 320 } 321 } 322 } 323 324 static void 325 usage(void) 326 { 327 fprintf(stderr, "usage: primes [-h] [start [stop]]\n"); 328 exit(1); 329 } 330