diff options
Diffstat (limited to 'security/nss/lib/freebl/mpi/utils/sieve.c')
-rw-r--r-- | security/nss/lib/freebl/mpi/utils/sieve.c | 265 |
1 files changed, 0 insertions, 265 deletions
diff --git a/security/nss/lib/freebl/mpi/utils/sieve.c b/security/nss/lib/freebl/mpi/utils/sieve.c deleted file mode 100644 index 4dd20604c..000000000 --- a/security/nss/lib/freebl/mpi/utils/sieve.c +++ /dev/null @@ -1,265 +0,0 @@ -/* - * sieve.c - * - * Finds prime numbers using the Sieve of Eratosthenes - * - * This implementation uses a bitmap to represent all odd integers in a - * given range. We iterate over this bitmap, crossing off the - * multiples of each prime we find. At the end, all the remaining set - * bits correspond to prime integers. - * - * Here, we make two passes -- once we have generated a sieve-ful of - * primes, we copy them out, reset the sieve using the highest - * generated prime from the first pass as a base. Then we cross out - * all the multiples of all the primes we found the first time through, - * and re-sieve. In this way, we get double use of the memory we - * allocated for the sieve the first time though. Since we also - * implicitly ignore multiples of 2, this amounts to 4 times the - * values. - * - * This could (and probably will) be generalized to re-use the sieve a - * few more times. - * - * The contents of this file are subject to the Mozilla Public - * License Version 1.1 (the "License"); you may not use this file - * except in compliance with the License. You may obtain a copy of - * the License at http://www.mozilla.org/MPL/ - * - * Software distributed under the License is distributed on an "AS - * IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or - * implied. See the License for the specific language governing - * rights and limitations under the License. - * - * The Original Code is the MPI Arbitrary Precision Integer Arithmetic - * library. - * - * The Initial Developer of the Original Code is Michael J. Fromberger. - * Portions created by Michael J. Fromberger are - * Copyright (C) 1998, 1999, 2000 Michael J. Fromberger. - * All Rights Reserved. - * - * Contributor(s): - * - * Alternatively, the contents of this file may be used under the - * terms of the GNU General Public License Version 2 or later (the - * "GPL"), in which case the provisions of the GPL are applicable - * instead of those above. If you wish to allow use of your - * version of this file only under the terms of the GPL and not to - * allow others to use your version of this file under the MPL, - * indicate your decision by deleting the provisions above and - * replace them with the notice and other provisions required by - * the GPL. If you do not delete the provisions above, a recipient - * may use your version of this file under either the MPL or the GPL. - * - * $Id$ - */ - -#include <stdio.h> -#include <stdlib.h> -#include <limits.h> - -typedef unsigned char byte; - -typedef struct { - int size; - byte *bits; - long base; - int next; - int nbits; -} sieve; - -void sieve_init(sieve *sp, long base, int nbits); -void sieve_grow(sieve *sp, int nbits); -long sieve_next(sieve *sp); -void sieve_reset(sieve *sp, long base); -void sieve_cross(sieve *sp, long val); -void sieve_clear(sieve *sp); - -#define S_ISSET(S, B) (((S)->bits[(B)/CHAR_BIT]>>((B)%CHAR_BIT))&1) -#define S_SET(S, B) ((S)->bits[(B)/CHAR_BIT]|=(1<<((B)%CHAR_BIT))) -#define S_CLR(S, B) ((S)->bits[(B)/CHAR_BIT]&=~(1<<((B)%CHAR_BIT))) -#define S_VAL(S, B) ((S)->base+(2*(B))) -#define S_BIT(S, V) (((V)-((S)->base))/2) - -int main(int argc, char *argv[]) -{ - sieve s; - long pr, *p; - int c, ix, cur = 0; - - if(argc < 2) { - fprintf(stderr, "Usage: %s <width>\n", argv[0]); - return 1; - } - - c = atoi(argv[1]); - if(c < 0) c = -c; - - fprintf(stderr, "%s: sieving to %d positions\n", argv[0], c); - - sieve_init(&s, 3, c); - - c = 0; - while((pr = sieve_next(&s)) > 0) { - ++c; - } - - p = calloc(c, sizeof(long)); - if(!p) { - fprintf(stderr, "%s: out of memory after first half\n", argv[0]); - sieve_clear(&s); - exit(1); - } - - fprintf(stderr, "%s: half done ... \n", argv[0]); - - for(ix = 0; ix < s.nbits; ix++) { - if(S_ISSET(&s, ix)) { - p[cur] = S_VAL(&s, ix); - printf("%ld\n", p[cur]); - ++cur; - } - } - - sieve_reset(&s, p[cur - 1]); - fprintf(stderr, "%s: crossing off %d found primes ... \n", argv[0], cur); - for(ix = 0; ix < cur; ix++) { - sieve_cross(&s, p[ix]); - if(!(ix % 1000)) - fputc('.', stderr); - } - fputc('\n', stderr); - - free(p); - - fprintf(stderr, "%s: sieving again from %ld ... \n", argv[0], p[cur - 1]); - c = 0; - while((pr = sieve_next(&s)) > 0) { - ++c; - } - - fprintf(stderr, "%s: done!\n", argv[0]); - for(ix = 0; ix < s.nbits; ix++) { - if(S_ISSET(&s, ix)) { - printf("%ld\n", S_VAL(&s, ix)); - } - } - - sieve_clear(&s); - - return 0; -} - -void sieve_init(sieve *sp, long base, int nbits) -{ - sp->size = (nbits / CHAR_BIT); - - if(nbits % CHAR_BIT) - ++sp->size; - - sp->bits = calloc(sp->size, sizeof(byte)); - memset(sp->bits, UCHAR_MAX, sp->size); - if(!(base & 1)) - ++base; - sp->base = base; - - sp->next = 0; - sp->nbits = sp->size * CHAR_BIT; -} - -void sieve_grow(sieve *sp, int nbits) -{ - int ns = (nbits / CHAR_BIT); - - if(nbits % CHAR_BIT) - ++ns; - - if(ns > sp->size) { - byte *tmp; - int ix; - - tmp = calloc(ns, sizeof(byte)); - if(tmp == NULL) { - fprintf(stderr, "Error: out of memory in sieve_grow\n"); - return; - } - - memcpy(tmp, sp->bits, sp->size); - for(ix = sp->size; ix < ns; ix++) { - tmp[ix] = UCHAR_MAX; - } - - free(sp->bits); - sp->bits = tmp; - sp->size = ns; - - sp->nbits = sp->size * CHAR_BIT; - } -} - -long sieve_next(sieve *sp) -{ - long out; - int ix = 0; - long val; - - if(sp->next > sp->nbits) - return -1; - - out = S_VAL(sp, sp->next); -#ifdef DEBUG - fprintf(stderr, "Sieving %ld\n", out); -#endif - - /* Sieve out all multiples of the current prime */ - val = out; - while(ix < sp->nbits) { - val += out; - ix = S_BIT(sp, val); - if((val & 1) && ix < sp->nbits) { /* && S_ISSET(sp, ix)) { */ - S_CLR(sp, ix); -#ifdef DEBUG - fprintf(stderr, "Crossing out %ld (bit %d)\n", val, ix); -#endif - } - } - - /* Scan ahead to the next prime */ - ++sp->next; - while(sp->next < sp->nbits && !S_ISSET(sp, sp->next)) - ++sp->next; - - return out; -} - -void sieve_cross(sieve *sp, long val) -{ - int ix = 0; - long cur = val; - - while(cur < sp->base) - cur += val; - - ix = S_BIT(sp, cur); - while(ix < sp->nbits) { - if(cur & 1) - S_CLR(sp, ix); - cur += val; - ix = S_BIT(sp, cur); - } -} - -void sieve_reset(sieve *sp, long base) -{ - memset(sp->bits, UCHAR_MAX, sp->size); - sp->base = base; - sp->next = 0; -} - -void sieve_clear(sieve *sp) -{ - if(sp->bits) - free(sp->bits); - - sp->bits = NULL; -} |