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-rw-r--r--builtin.c63
1 files changed, 62 insertions, 1 deletions
diff --git a/builtin.c b/builtin.c
index fa03222b..54f52350 100644
--- a/builtin.c
+++ b/builtin.c
@@ -2393,6 +2393,8 @@ static char *const state = (char *const) istate;
NODE *
do_rand(int nargs ATTRIBUTE_UNUSED)
{
+ double tmprand;
+#define RAND_DIVISOR ((double)GAWK_RANDOM_MAX+1.0)
if (firstrand) {
(void) initstate((unsigned) 1, state, SIZEOF_STATE);
/* don't need to srandom(1), initstate() does it for us. */
@@ -2404,7 +2406,66 @@ do_rand(int nargs ATTRIBUTE_UNUSED)
*
* 0 <= n < 1
*/
- return make_number((AWKNUM) (random() % GAWK_RANDOM_MAX) / GAWK_RANDOM_MAX);
+ /*
+ * Date: Wed, 28 Aug 2013 17:52:46 -0700
+ * From: Bob Jewett <jewett@bill.scs.agilent.com>
+ *
+ * Call random() twice to fill in more bits in the value
+ * of the double. Also, there is a bug in random() such
+ * that when the values of successive values are combined
+ * like (rand1*rand2)^2, (rand3*rand4)^2, ... the
+ * resulting time series is not white noise. The
+ * following also seems to fix that bug.
+ *
+ * The add/subtract 0.5 keeps small bits from filling
+ * below 2^-53 in the double, not that anyone should be
+ * looking down there.
+ *
+ * Date: Wed, 25 Sep 2013 10:45:38 -0600 (MDT)
+ * From: "Nelson H. F. Beebe" <beebe@math.utah.edu>
+ * (4) The code is typical of many published fragments for converting
+ * from integer to floating-point, and I discuss the serious pitfalls
+ * in my book, because it leads to platform-dependent behavior at the
+ * end points of the interval [0,1]
+ *
+ * (5) the documentation in the gawk info node says
+ *
+ * `rand()'
+ * Return a random number. The values of `rand()' are uniformly
+ * distributed between zero and one. The value could be zero but is
+ * never one.(1)
+ *
+ * The division by RAND_DIVISOR may not guarantee that 1.0 is never
+ * returned: the programmer forgot the platform-dependent issue of
+ * rounding.
+ *
+ * For points 4 and 5, the safe way is a loop:
+ *
+ * double
+ * rand(void) // return value in [0.0, 1.0)
+ * {
+ * value = internal_rand();
+ *
+ * while (value == 1.0)
+ * value = internal_rand();
+ *
+ * return (value);
+ * }
+ */
+
+ do {
+ long d1, d2;
+ /*
+ * Do the calls in predictable order to avoid
+ * compiler differences in order of evaluation.
+ */
+ d1 = random();
+ d2 = random();
+ tmprand = 0.5 + ( (d1/RAND_DIVISOR + d2) / RAND_DIVISOR );
+ tmprand -= 0.5;
+ } while (tmprand == 1.0);
+
+ return make_number((AWKNUM) tmprand);
}
/* do_srand --- seed the random number generator */