/* $NetBSD: factor.c,v 1.10 1999/06/20 06:08:14 cgd Exp $ */ /* * Copyright 1997 Piermont Information Systems Inc. * All rights reserved. * * Written by Philip A. Nelson for Piermont Information Systems Inc. * * 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. All advertising materials mentioning features or use of this software * must display the following acknowledgement: * This product includes software developed for the NetBSD Project by * Piermont Information Systems Inc. * 4. The name of Piermont Information Systems Inc. may not be used to endorse * or promote products derived from this software without specific prior * written permission. * * THIS SOFTWARE IS PROVIDED BY PIERMONT INFORMATION SYSTEMS INC. ``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 PIERMONT INFORMATION SYSTEMS INC. 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. * */ /* Prototypes for strict prototyping. */ #include #include static void build_primes __P((long max)); void factor __P((long val, long *fact_list, int fact_size, int *num_fact)); /* * primes - prime table, built to include up to 46345 because * sqrt(2^31) = 46340.9500118415 * * building the table instead of storing a precomputed table saves * about 19K of space on the binary image. */ long primes[4800]; int num_primes = 2; static void build_primes(max) long max; { long pc; int j; long rem; /* * Initialise primes at run-time rather than compile time * so it's put in bss rather than data. */ primes[0] = 2; primes[1] = 3; for (pc = primes[num_primes-1]; pc < 46345 && pc*pc <= max; pc+=2) { j = 0; rem = 1; while (j < num_primes && primes[j] * primes[j] <= pc) { if ((rem = pc % primes[j]) == 0) break; j++; } if (rem) primes[num_primes++] = pc; } } /* factor: prepare a list of prime factors of val. The last number may not be a prime factor is the list is not long enough. */ void factor(val, fact_list, fact_size, num_fact) long val; long *fact_list; int fact_size; int *num_fact; { int i; /* Check to make sure we have enough primes. */ build_primes(val); i = 0; *num_fact = 0; while (*num_fact < fact_size-1 && val > 1 && i < num_primes) { /* Find the next prime that divides. */ while (i < num_primes && val % primes[i] != 0) i++; /* Put factors in array. */ while (*num_fact < fact_size-1 && i < num_primes && val % primes[i] == 0) { fact_list[(*num_fact)++] = primes[i]; val /= primes[i]; } } if (val > 1) fact_list[(*num_fact)++] = val; } #ifdef TESTING #include #include int main(int argc, char **argv) { long facts[30]; long val; int i, nfact; int arg; if (argc < 2) { fprintf (stderr, "usage: %s numbers\n", argv[0]); exit(1); } /* Factor each arg! */ for (arg = 1; arg < argc; arg++) { val = atol(argv[arg]); factor (val, facts, 30, &nfact); printf ("%ld:", val); for (i = 0; i