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authorLorry Tar Creator <lorry-tar-importer@lorry>2007-03-22 21:23:21 +0000
committerLorry Tar Creator <lorry-tar-importer@lorry>2007-03-22 21:23:21 +0000
commitcbf5993c43f49281173f185863577d86bfac6eae (patch)
tree90737c96cf15b97273a2bdc5950b3cf09f1d94ca /lib/randint.c
downloadcoreutils-tarball-cbf5993c43f49281173f185863577d86bfac6eae.tar.gz
coreutils-6.9coreutils-6.9
Diffstat (limited to 'lib/randint.c')
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+/* Generate random integers.
+
+ Copyright (C) 2006 Free Software Foundation, Inc.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2, or (at your option)
+ any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; if not, write to the Free Software Foundation,
+ Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */
+
+/* Written by Paul Eggert. */
+
+#include <config.h>
+
+#include "randint.h"
+
+#include <errno.h>
+#include <limits.h>
+#include <stdlib.h>
+#include <string.h>
+
+
+#if TEST
+# include <inttypes.h>
+# include <stdio.h>
+
+int
+main (int argc, char **argv)
+{
+ randint i;
+ randint n = strtoumax (argv[1], NULL, 10);
+ randint choices = strtoumax (argv[2], NULL, 10);
+ char const *name = argv[3];
+ struct randint_source *ints = randint_all_new (name, SIZE_MAX);
+
+ for (i = 0; i < n; i++)
+ printf ("%"PRIuMAX"\n", randint_choose (ints, choices));
+
+ return (randint_all_free (ints) == 0 ? EXIT_SUCCESS : EXIT_FAILURE);
+}
+#endif
+
+
+#include "xalloc.h"
+
+#ifndef MAX
+# define MAX(a,b) ((a) < (b) ? (b) : (a))
+#endif
+
+/* A source of random data for generating random integers. */
+struct randint_source
+{
+ /* The source of random bytes. */
+ struct randread_source *source;
+
+ /* RANDNUM is a buffered random integer, whose information has not
+ yet been delivered to the caller. It is uniformly distributed in
+ the range 0 <= RANDNUM <= RANDMAX. If RANDMAX is zero, then
+ RANDNUM must be zero (and in some sense it is not really
+ "random"). */
+ randint randnum;
+ randint randmax;
+};
+
+/* Create a new randint_source from SOURCE. */
+
+struct randint_source *
+randint_new (struct randread_source *source)
+{
+ struct randint_source *s = xmalloc (sizeof *s);
+ s->source = source;
+ s->randnum = s->randmax = 0;
+ return s;
+}
+
+/* Create a new randint_source by creating a randread_source from
+ NAME and ESTIMATED_BYTES. Return NULL (setting errno) if
+ unsuccessful. */
+
+struct randint_source *
+randint_all_new (char const *name, size_t bytes_bound)
+{
+ struct randread_source *source = randread_new (name, bytes_bound);
+ return (source ? randint_new (source) : NULL);
+}
+
+/* Return the random data source of *S. */
+
+struct randread_source *
+randint_get_source (struct randint_source const *s)
+{
+ return s->source;
+}
+
+/* HUGE_BYTES is true on hosts hosts where randint and unsigned char
+ have the same width and where shifting by the word size therefore
+ has undefined behavior. */
+enum { HUGE_BYTES = RANDINT_MAX == UCHAR_MAX };
+
+/* Return X shifted left by CHAR_BIT bits. */
+static inline randint shift_left (randint x)
+{
+ return HUGE_BYTES ? 0 : x << CHAR_BIT;
+}
+
+/* Return X shifted right by CHAR_BIT bits. */
+static inline randint
+shift_right (randint x)
+{
+ return HUGE_BYTES ? 0 : x >> CHAR_BIT;
+}
+
+
+/* Consume random data from *S to generate a random number in the range
+ 0 .. GENMAX. */
+
+randint
+randint_genmax (struct randint_source *s, randint genmax)
+{
+ struct randread_source *source = s->source;
+ randint randnum = s->randnum;
+ randint randmax = s->randmax;
+ randint choices = genmax + 1;
+
+ for (;;)
+ {
+ if (randmax < genmax)
+ {
+ /* Calculate how many input bytes will be needed, and read
+ the bytes. */
+
+ size_t i = 0;
+ randint rmax = randmax;
+ unsigned char buf[sizeof randnum];
+
+ do
+ {
+ rmax = shift_left (rmax) + UCHAR_MAX;
+ i++;
+ }
+ while (rmax < genmax);
+
+ randread (source, buf, i);
+
+ /* Increase RANDMAX by appending random bytes to RANDNUM and
+ UCHAR_MAX to RANDMAX until RANDMAX is no less than
+ GENMAX. This may lose up to CHAR_BIT bits of information
+ if shift_right (RANDINT_MAX) < GENMAX, but it is not
+ worth the programming hassle of saving these bits since
+ GENMAX is rarely that large in practice. */
+
+ i = 0;
+
+ do
+ {
+ randnum = shift_left (randnum) + buf[i];
+ randmax = shift_left (randmax) + UCHAR_MAX;
+ i++;
+ }
+ while (randmax < genmax);
+ }
+
+ if (randmax == genmax)
+ {
+ s->randnum = s->randmax = 0;
+ return randnum;
+ }
+ else
+ {
+ /* GENMAX < RANDMAX, so attempt to generate a random number
+ by taking RANDNUM modulo GENMAX+1. This will choose
+ fairly so long as RANDNUM falls within an integral
+ multiple of GENMAX+1; otherwise, LAST_USABLE_CHOICE < RANDNUM,
+ so discard this attempt and try again.
+
+ Since GENMAX cannot be RANDINT_MAX, CHOICES cannot be
+ zero and there is no need to worry about dividing by
+ zero. */
+
+ randint excess_choices = randmax - genmax;
+ randint unusable_choices = excess_choices % choices;
+ randint last_usable_choice = randmax - unusable_choices;
+ randint reduced_randnum = randnum % choices;
+
+ if (randnum <= last_usable_choice)
+ {
+ s->randnum = randnum / choices;
+ s->randmax = excess_choices / choices;
+ return reduced_randnum;
+ }
+
+ /* Retry, but retain the randomness from the fact that RANDNUM fell
+ into the range LAST_USABLE_CHOICE+1 .. RANDMAX. */
+ randnum = reduced_randnum;
+ randmax = unusable_choices - 1;
+ }
+ }
+}
+
+/* Clear *S so that it no longer contains undelivered random data. */
+
+void
+randint_free (struct randint_source *s)
+{
+ memset (s, 0, sizeof *s);
+ free (s);
+}
+
+/* Likewise, but also clear the underlying randread object. Return
+ 0 if successful, -1 (setting errno) otherwise. */
+
+int
+randint_all_free (struct randint_source *s)
+{
+ int r = randread_free (s->source);
+ int e = errno;
+ randint_free (s);
+ errno = e;
+ return r;
+}