/* * Copyright (c) 2000 Silicon Graphics, Inc. All Rights Reserved. * * This program is free software; you can redistribute it and/or modify it * under the terms of version 2 of the GNU General Public License as * published by the Free Software Foundation. * * This program is distributed in the hope that it would be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * * Further, this software is distributed without any warranty that it is * free of the rightful claim of any third person regarding infringement * or the like. Any license provided herein, whether implied or * otherwise, applies only to this software file. Patent licenses, if * any, provided herein do not apply to combinations of this program with * other software, or any other product whatsoever. * * You should have received a copy of the GNU General Public License along * with this program; if not, write the Free Software Foundation, Inc., * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. * * Contact information: Silicon Graphics, Inc., 1600 Amphitheatre Pkwy, * Mountain View, CA 94043, or: * * http://www.sgi.com * * For further information regarding this notice, see: * * http://oss.sgi.com/projects/GenInfo/NoticeExplan/ */ #include #include #include #include #include "random_range.h" /* * Internal format of the range array set up by parse_range() */ struct range { int min; int max; int mult; }; /* * parse_ranges() is a function to parse a comma-separated list of range * tokens each having the following form: * * num * or * min:max[:mult] * * any of the values may be blank (ie. min::mult, :max, etc.) and default * values for missing arguments may be supplied by the caller. * * The special first form is short hand for 'num:num'. * * After parsing the string, the ranges are put into an array of integers, * which is malloc'd by the routine. The min, max, and mult entries of each * range can be extracted from the array using the range_min(), range_max(), * and range_mult() functions. * * It is the responsibility of the caller to free the space allocated by * parse_ranges() - a single call to free() will free the space. * * str The string to parse - assumed to be a comma-separated * list of tokens having the above format. * defmin default value to plug in for min, if it is missing * defmax default value to plug in for max, if it is missing * defmult default value to plug in for mult, if missing * parse_func A user-supplied function pointer, which parse_ranges() * can call to parse the min, max, and mult strings. This * allows for customized number formats. The function * MUST have the following prototype: * parse_func(char *str, int *val) * The function should return -1 if str cannot be parsed * into an integer, or >= 0 if it was successfully * parsed. The resulting integer will be stored in * *val. If parse_func is NULL, parse_ranges will parse * the tokens in a manner consistent with the the sscanf * %i format. * range_ptr A user-supplied char **, which will be set to point * at malloc'd space which holds the parsed range * values. If range_ptr is NULL, parse_ranges() just * parses the string. The data returned in range_ptr * should not be processed directly - use the functions * range_min(), range_max(), and range_mult() to access * data for a given range. * errptr user-supplied char ** which can be set to point to a * static error string. If errptr is NULL, it is ignored. * * parse_range() returns -1 on error, or the number of ranges parsed. */ static int str_to_int(); static long long divider(long long, long long, long long, long long); int parse_ranges(char *str, int defmin, int defmax, int defmult, int (*parse_func)(), char **rangeptr, char **errptr) { int ncommas; char *tmpstr, *cp, *tok, *n1str, *n2str, *multstr; struct range *rp, *ranges; static char errmsg[256]; if (errptr != NULL) { *errptr = errmsg; } for (ncommas = 0, cp = str; *cp != '\0'; cp++) { if (*cp == ',') { ncommas++; } } if (parse_func == NULL) { parse_func = str_to_int; } tmpstr = strdup(str); ranges = malloc((ncommas + 1) * sizeof(struct range)); rp = ranges; tok = strtok(tmpstr, ","); while (tok != NULL) { n1str = tok; n2str = NULL; multstr = NULL; rp->min = defmin; rp->max = defmax; rp->mult = defmult; if ((cp = strchr(n1str, ':')) != NULL) { *cp = '\0'; n2str = cp + 1; if ((cp = strchr(n2str, ':')) != NULL) { *cp = '\0'; multstr = cp + 1; } } /* * Parse the 'min' field - if it is zero length (:n2[:mult] * format), retain the default value, otherwise, pass the * string to the parse function. */ if ((int)strlen(n1str) > 0) { if ((*parse_func) (n1str, &rp->min) < 0) { sprintf(errmsg, "error parsing string %s into an integer", n1str); free(tmpstr); free(ranges); return -1; } } /* * Process the 'max' field - if one was not present (n1 format) * set max equal to min. If the field was present, but * zero length (n1: format), retain the default. Otherwise * pass the string to the parse function. */ if (n2str == NULL) { rp->max = rp->min; } else if ((int)strlen(n2str) > 0) { if ((*parse_func) (n2str, &rp->max) < 0) { sprintf(errmsg, "error parsing string %s into an integer", n2str); free(tmpstr); free(ranges); return -1; } } /* * Process the 'mult' field - if one was not present * (n1:n2 format), or the field was zero length (n1:n2: format) * then set the mult field to defmult - otherwise pass then * mult field to the parse function. */ if (multstr != NULL && (int)strlen(multstr) > 0) { if ((*parse_func) (multstr, &rp->mult) < 0) { sprintf(errmsg, "error parsing string %s into an integer", multstr); free(tmpstr); free(ranges); return -1; } } rp++; tok = strtok(NULL, ","); } free(tmpstr); if (rangeptr != NULL) { *rangeptr = (char *)ranges; } else { free(ranges); /* just running in parse mode */ } return (rp - ranges); } /* * The default integer-parsing function */ static int str_to_int(char *str, int *ip) { char c; if (sscanf(str, "%i%c", ip, &c) != 1) { return -1; } else { return 0; } } /* * Three simple functions to return the min, max, and mult values for a given * range. It is assumed that rbuf is a range buffer set up by parse_ranges(), * and that r is a valid range within that buffer. */ int range_min(char *rbuf, int r) { return ((struct range *)rbuf)[r].min; } int range_max(char *rbuf, int r) { return ((struct range *)rbuf)[r].max; } int range_mult(char *rbuf, int r) { return ((struct range *)rbuf)[r].mult; } /***************************************************************************** * random_range(int start, int end, int mult, char **errp) * * Returns a psuedo-random number which is >= 'start', <= 'end', and a multiple * of 'mult'. Start and end may be any valid integer, but mult must be an * integer > 0. errp is a char ** which will be set to point to a static * error message buffer if it is not NULL, and an error occurs. * * The errp is the only way to check if the routine fails - currently the only * failure conditions are: * * mult < 1 * no numbers in the start-end range that are a multiple of 'mult' * * If random_range_fails, and errp is a valid pointer, it will point to an * internal error buffer. If errp is a vaild pointer, and random_range * is successful, errp will be set to NULL. * * Note - if mult is 1 (the most common case), there are error conditions * possible, and errp need not be used. * * Note: Uses lrand48(), assuming that set_random_seed() uses srand48() when * setting the seed. *****************************************************************************/ long random_range(int min, int max, int mult, char **errp) { int r, nmults, orig_min, orig_max, orig_mult, tmp; extern long lrand48(); static char errbuf[128]; /* * Sanity check */ if (mult < 1) { if (errp != NULL) { sprintf(errbuf, "mult arg must be greater than 0"); *errp = errbuf; } return -1; } /* * Save original parameter values for use in error message */ orig_min = min; orig_max = max; orig_mult = mult; /* * switch min/max if max < min */ if (max < min) { tmp = max; max = min; min = tmp; } /* * select the random number */ if ((r = min % mult)) /* bump to the next higher 'mult' multiple */ min += mult - r; if ((r = max % mult)) /* reduce to the next lower 'mult' multiple */ max -= r; if (min > max) { /* no 'mult' multiples between min & max */ if (errp != NULL) { sprintf(errbuf, "no numbers in the range %d:%d that are a multiple of %d", orig_min, orig_max, orig_mult); *errp = errbuf; } return -1; } if (errp != NULL) { *errp = NULL; } nmults = ((max - min) / mult) + 1; #if CRAY /* * If max is less than 2gb, then the value can fit in 32 bits * and the standard lrand48() routine can be used. */ if (max <= (long)2147483647) { return (long)(min + (((long)lrand48() % nmults) * mult)); } else { /* * max is greater than 2gb - meeds more than 32 bits. * Since lrand48 only will get a number up to 32bits. */ long randnum; randnum = divider(min, max, 0, -1); return (long)(min + ((randnum % nmults) * mult)); } #else return (min + ((lrand48() % nmults) * mult)); #endif } /* * Just like random_range, but all values are longs. */ long random_rangel(long min, long max, long mult, char **errp) { long r, nmults, orig_min, orig_max, orig_mult, tmp; extern long lrand48(); static char errbuf[128]; /* * Sanity check */ if (mult < 1) { if (errp != NULL) { sprintf(errbuf, "mult arg must be greater than 0"); *errp = errbuf; } return -1; } /* * Save original parameter values for use in error message */ orig_min = min; orig_max = max; orig_mult = mult; /* * switch min/max if max < min */ if (max < min) { tmp = max; max = min; min = tmp; } /* * select the random number */ if ((r = min % mult)) /* bump to the next higher 'mult' multiple */ min += mult - r; if ((r = max % mult)) /* reduce to the next lower 'mult' multiple */ max -= r; if (min > max) { /* no 'mult' multiples between min & max */ if (errp != NULL) { sprintf(errbuf, "no numbers in the range %ld:%ld that are a multiple of %ld", orig_min, orig_max, orig_mult); *errp = errbuf; } return -1; } if (errp != NULL) { *errp = NULL; } nmults = ((max - min) / mult) + 1; #if CRAY || (_MIPS_SZLONG == 64) /* * If max is less than 2gb, then the value can fit in 32 bits * and the standard lrand48() routine can be used. */ if (max <= (long)2147483647) { return (long)(min + (((long)lrand48() % nmults) * mult)); } else { /* * max is greater than 2gb - meeds more than 32 bits. * Since lrand48 only will get a number up to 32bits. */ long randnum; randnum = divider(min, max, 0, -1); return (long)(min + ((randnum % nmults) * mult)); } #else return (min + ((lrand48() % nmults) * mult)); #endif } /* * Attempts to be just like random_range, but everything is long long (64 bit) */ long long random_rangell(long long min, long long max, long long mult, char **errp) { long long r, nmults, orig_min, orig_max, orig_mult, tmp; long long randnum; extern long lrand48(); static char errbuf[128]; /* * Sanity check */ if (mult < 1) { if (errp != NULL) { sprintf(errbuf, "mult arg must be greater than 0"); *errp = errbuf; } return -1; } /* * Save original parameter values for use in error message */ orig_min = min; orig_max = max; orig_mult = mult; /* * switch min/max if max < min */ if (max < min) { tmp = max; max = min; min = tmp; } /* * select the random number */ if ((r = min % mult)) /* bump to the next higher 'mult' multiple */ min += mult - r; if ((r = max % mult)) /* reduce to the next lower 'mult' multiple */ max -= r; if (min > max) { /* no 'mult' multiples between min & max */ if (errp != NULL) { sprintf(errbuf, "no numbers in the range %lld:%lld that are a multiple of %lld", orig_min, orig_max, orig_mult); *errp = errbuf; } return -1; } if (errp != NULL) { *errp = NULL; } nmults = ((max - min) / mult) + 1; /* * If max is less than 2gb, then the value can fit in 32 bits * and the standard lrand48() routine can be used. */ if (max <= (long)2147483647) { return (long long)(min + (((long long)lrand48() % nmults) * mult)); } else { /* * max is greater than 2gb - meeds more than 32 bits. * Since lrand48 only will get a number up to 32bits. */ randnum = divider(min, max, 0, -1); return (long long)(min + ((randnum % nmults) * mult)); } } /* * This functional will recusively call itself to return a random * number min and max. It was designed to work the 64bit numbers * even when compiled as 32 bit process. * algorithm: to use the official lrand48() routine - limited to 32 bits. * find the difference between min and max (max-min). * if the difference is 2g or less, use the random number gotton from lrand48(). * Determine the midway point between min and max. * if the midway point is less than 2g from min or max, * randomly add the random number gotton from lrand48() to * either min or the midpoint. * Otherwise, call outself with min and max being min and midway value or * midway value and max. This will reduce the range in half. */ static long long divider(long long min, long long max, long long cnt, long long rand) { long long med, half, diff; /* * prevent run away code. We are dividing by two each count. * if we get to a count of more than 32, we should have gotten * to 2gb. */ if (cnt > 32) return -1; /* * Only get a random number the first time. */ if (cnt == 0 || rand < -1) { rand = (long long)lrand48(); /* 32 bit random number */ } diff = max - min; if (diff <= 2147483647) return min + rand; half = diff / (long long)2; /* half the distance between min and max */ med = min + half; /* med way point between min and max */ #if DEBUG printf("divider: min=%lld, max=%lld, cnt=%lld, rand=%lld\n", min, max, cnt, rand); printf(" diff = %lld, half = %lld, med = %lld\n", diff, half, med); #endif if (half <= 2147483647) { /* * If half is smaller than 2gb, we can use the random number * to pick the number within the min to med or med to max * if the cnt bit of rand is zero or one, respectively. */ if (rand & (1 << cnt)) return med + rand; else return min + rand; } else { /* * recursively call ourself to reduce the value to the bottom half * or top half (bit cnt is set). */ if (rand & (1 << cnt)) { return divider(med, max, cnt + 1, rand); } else { return divider(min, med, cnt + 1, rand); } } } /***************************************************************************** * random_range_seed(s) * * Sets the random seed to s. Uses srand48(), assuming that lrand48() will * be used in random_range(). *****************************************************************************/ void random_range_seed(long s) { extern void srand48(); srand48(s); } /**************************************************************************** * random_bit(mask) * * This function randomly returns a single bit from the bits * set in mask. If mask is zero, zero is returned. * ****************************************************************************/ long random_bit(long mask) { int nbits = 0; /* number of set bits in mask */ long bit; /* used to count bits and num of set bits choosen */ int nshift; /* used to count bit shifts */ if (mask == 0) return 0; /* * get the number of bits set in mask */ #ifndef CRAY bit = 1L; for (nshift = 0; (unsigned int)nshift < sizeof(long) * 8; nshift++) { if (mask & bit) nbits++; bit = bit << 1; } #else nbits = _popcnt(mask); #endif /* if CRAY */ /* * randomly choose a bit. */ bit = random_range(1, nbits, 1, NULL); /* * shift bits until you determine which bit was randomly choosen. * nshift will hold the number of shifts to make. */ nshift = 0; while (bit) { /* check if the current one's bit is set */ if (mask & 1L) { bit--; } mask = mask >> 1; nshift++; } return 01L << (nshift - 1); } #if RANDOM_BIT_UNITTEST /* * The following is a unit test main function for random_bit(). */ main(argc, argv) int argc; char **argv; { int ind; int cnt, iter; long mask, ret; printf("test for first and last bit set\n"); mask = 1L; ret = random_bit(mask); printf("random_bit(%#o) returned %#o\n", mask, ret); mask = 1L << (sizeof(long) * 8 - 1); ret = random_bit(mask); printf("random_bit(%#o) returned %#o\n", mask, ret); if (argc >= 3) { iter = atoi(argv[1]); for (ind = 2; ind < argc; ind++) { printf("Calling random_bit %d times for mask %#o\n", iter, mask); sscanf(argv[ind], "%i", &mask); for (cnt = 0; cnt < iter; cnt++) { ret = random_bit(mask); printf("random_bit(%#o) returned %#o\n", mask, ret); } } } exit(0); } #endif /* end if RANDOM_BIT_UNITTEST */ #if UNIT_TEST /* * The following is a unit test main function for random_range*(). */ #define PARTNUM 10 /* used to determine even distribution of random numbers */ #define MEG 1024*1024*1024 #define GIG 1073741824 int main(argc, argv) int argc; char **argv; { int ind; int cnt, iter = 10; int imin = 0, imult = 1, itmin, itmax = 0; #if CRAY int imax = 6 * GIG; /* higher than 32 bits */ #else int imax = 1048576; #endif long lret, lmin = 0, lmult = 1, ltmin, ltmax = 0; #if CRAY || (_MIPS_SZLONG == 64) long lmax = 6 * (long)GIG; /* higher than 32 bits */ #else long lmax = 1048576; #endif long long llret, llmin = 0, llmult = 1, lltmin, lltmax = 0; long long llmax = (long long)80 * (long long)GIG; long part; long long lpart; long cntarr[PARTNUM]; long valbound[PARTNUM]; long long lvalbound[PARTNUM]; for (ind = 0; ind < PARTNUM; ind++) cntarr[ind] = 0; if (argc < 2) { printf("Usage: %s func [iterations] \n", argv[0]); printf ("func can be random_range, random_rangel, random_rangell\n"); exit(1); } if (argc >= 3) { if (sscanf(argv[2], "%i", &iter) != 1) { printf("Usage: %s [func iterations] \n", argv[0]); printf("argv[2] is not a number\n"); exit(1); } } /* * random_rangel () */ if (strcmp(argv[1], "random_rangel") == 0) { ltmin = lmax; part = lmax / PARTNUM; for (ind = 0; ind < PARTNUM; ind++) { valbound[ind] = part * ind; } for (cnt = 0; cnt < iter; cnt++) { lret = random_rangel(lmin, lmax, lmult, NULL); if (iter < 100) printf("%ld\n", lret); if (lret < ltmin) ltmin = lret; if (lret > ltmax) ltmax = lret; for (ind = 0; ind < PARTNUM - 1; ind++) { if (valbound[ind] < lret && lret <= valbound[ind + 1]) { cntarr[ind]++; break; } } if (lret > valbound[PARTNUM - 1]) { cntarr[PARTNUM - 1]++; } } for (ind = 0; ind < PARTNUM - 1; ind++) { printf("%2d %-13ld to %-13ld %5ld %4.4f\n", ind + 1, valbound[ind], valbound[ind + 1], cntarr[ind], (float)(cntarr[ind] / (float)iter)); } printf("%2d %-13ld to %-13ld %5ld %4.4f\n", PARTNUM, valbound[PARTNUM - 1], lmax, cntarr[PARTNUM - 1], (float)(cntarr[PARTNUM - 1] / (float)iter)); printf(" min=%ld, max=%ld\n", ltmin, ltmax); } else if (strcmp(argv[1], "random_rangell") == 0) { /* * random_rangell() unit test */ lltmin = llmax; lpart = llmax / PARTNUM; for (ind = 0; ind < PARTNUM; ind++) { lvalbound[ind] = (long long)(lpart * ind); } for (cnt = 0; cnt < iter; cnt++) { llret = random_rangell(llmin, llmax, llmult, NULL); if (iter < 100) printf("random_rangell returned %lld\n", llret); if (llret < lltmin) lltmin = llret; if (llret > lltmax) lltmax = llret; for (ind = 0; ind < PARTNUM - 1; ind++) { if (lvalbound[ind] < llret && llret <= lvalbound[ind + 1]) { cntarr[ind]++; break; } } if (llret > lvalbound[PARTNUM - 1]) { cntarr[PARTNUM - 1]++; } } for (ind = 0; ind < PARTNUM - 1; ind++) { printf("%2d %-13lld to %-13lld %5ld %4.4f\n", ind + 1, lvalbound[ind], lvalbound[ind + 1], cntarr[ind], (float)(cntarr[ind] / (float)iter)); } printf("%2d %-13lld to %-13lld %5ld %4.4f\n", PARTNUM, lvalbound[PARTNUM - 1], llmax, cntarr[PARTNUM - 1], (float)(cntarr[PARTNUM - 1] / (float)iter)); printf(" min=%lld, max=%lld\n", lltmin, lltmax); } else { /* * random_range() unit test */ itmin = imax; part = imax / PARTNUM; for (ind = 0; ind < PARTNUM; ind++) { valbound[ind] = part * ind; } for (cnt = 0; cnt < iter; cnt++) { lret = random_range(imin, imax, imult, NULL); if (iter < 100) printf("%ld\n", lret); if (lret < itmin) itmin = lret; if (lret > itmax) itmax = lret; for (ind = 0; ind < PARTNUM - 1; ind++) { if (valbound[ind] < lret && lret <= valbound[ind + 1]) { cntarr[ind]++; break; } } if (lret > valbound[PARTNUM - 1]) { cntarr[PARTNUM - 1]++; } } for (ind = 0; ind < PARTNUM - 1; ind++) { printf("%2d %-13ld to %-13ld %5ld %4.4f\n", ind + 1, valbound[ind], valbound[ind + 1], cntarr[ind], (float)(cntarr[ind] / (float)iter)); } printf("%2d %-13ld to %-13ld %5ld %4.4f\n", PARTNUM, valbound[PARTNUM - 1], (long)imax, cntarr[PARTNUM - 1], (float)(cntarr[PARTNUM - 1] / (float)iter)); printf(" min=%d, max=%d\n", itmin, itmax); } exit(0); } #endif