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+/* yarandom.c -- Yet Another Random Number Generator.
+ * Copyright (c) 1997-2014 by Jamie Zawinski <jwz@jwz.org>
+ *
+ * Permission to use, copy, modify, distribute, and sell this software and its
+ * documentation for any purpose is hereby granted without fee, provided that
+ * the above copyright notice appear in all copies and that both that
+ * copyright notice and this permission notice appear in supporting
+ * documentation. No representations are made about the suitability of this
+ * software for any purpose. It is provided "as is" without express or
+ * implied warranty.
+ */
+
+/* The unportable mess that is rand(), random(), drand48() and friends led me
+ to ask Phil Karlton <karlton@netscape.com> what the Right Thing to Do was.
+ He responded with this. It is non-cryptographically secure, reasonably
+ random (more so than anything that is in any C library), and very fast.
+
+ I don't understand how it works at all, but he says "look at Knuth,
+ Vol. 2 (original edition), page 26, Algorithm A. In this case n=55,
+ k=24 and m=2^32."
+
+ So there you have it.
+
+ ---------------------------
+ Note: xlockmore 4.03a10 uses this very simple RNG:
+
+ if ((seed = seed % 44488 * 48271 - seed / 44488 * 3399) < 0)
+ seed += 2147483647;
+ return seed-1;
+
+ of which it says
+
+ ``Dr. Park's algorithm published in the Oct. '88 ACM "Random Number
+ Generators: Good Ones Are Hard To Find" His version available at
+ ftp://cs.wm.edu/pub/rngs.tar Present form by many authors.''
+
+ Karlton says: ``the usual problem with that kind of RNG turns out to
+ be unexepected short cycles for some word lengths.''
+
+ Karlton's RNG is faster, since it does three adds and two stores, while the
+ xlockmore RNG does two multiplies, two divides, three adds, and one store.
+
+ Compiler optimizations make a big difference here:
+ gcc -O: difference is 1.2x.
+ gcc -O2: difference is 1.4x.
+ gcc -O3: difference is 1.5x.
+ SGI cc -O: difference is 2.4x.
+ SGI cc -O2: difference is 2.4x.
+ SGI cc -O3: difference is 5.1x.
+ Irix 6.2; Indy r5k; SGI cc version 6; gcc version 2.7.2.1.
+ */
+
+
+#ifdef HAVE_CONFIG_H
+# include "config.h"
+#endif
+
+#ifdef HAVE_UNISTD_H
+# include <unistd.h> /* for getpid() */
+#endif
+#include <sys/time.h> /* for gettimeofday() */
+
+#include "yarandom.h"
+# undef ya_rand_init
+
+
+/* The following 'random' numbers are taken from CRC, 18th Edition, page 622.
+ Each array element was taken from the corresponding line in the table,
+ except that a[0] was from line 100. 8s and 9s in the table were simply
+ skipped. The high order digit was taken mod 4.
+ */
+#define VectorSize 55
+static unsigned int a[VectorSize] = {
+ 035340171546, 010401501101, 022364657325, 024130436022, 002167303062, /* 5 */
+ 037570375137, 037210607110, 016272055420, 023011770546, 017143426366, /* 10 */
+ 014753657433, 021657231332, 023553406142, 004236526362, 010365611275, /* 14 */
+ 007117336710, 011051276551, 002362132524, 001011540233, 012162531646, /* 20 */
+ 007056762337, 006631245521, 014164542224, 032633236305, 023342700176, /* 25 */
+ 002433062234, 015257225043, 026762051606, 000742573230, 005366042132, /* 30 */
+ 012126416411, 000520471171, 000725646277, 020116577576, 025765742604, /* 35 */
+ 007633473735, 015674255275, 017555634041, 006503154145, 021576344247, /* 40 */
+ 014577627653, 002707523333, 034146376720, 030060227734, 013765414060, /* 45 */
+ 036072251540, 007255221037, 024364674123, 006200353166, 010126373326, /* 50 */
+ 015664104320, 016401041535, 016215305520, 033115351014, 017411670323 /* 55 */
+};
+
+static int i1, i2;
+
+unsigned int
+ya_random (void)
+{
+ register int ret = a[i1] + a[i2];
+ a[i1] = ret;
+ if (++i1 >= VectorSize) i1 = 0;
+ if (++i2 >= VectorSize) i2 = 0;
+ return ret;
+}
+
+void
+ya_rand_init(unsigned int seed)
+{
+ int i;
+ if (seed == 0)
+ {
+ struct timeval tp;
+#ifdef GETTIMEOFDAY_TWO_ARGS
+ struct timezone tzp;
+ gettimeofday(&tp, &tzp);
+#else
+ gettimeofday(&tp);
+#endif
+ /* Since the multiplications will have a larger effect on the
+ upper bits than the lower bits, after every addition in the
+ seed, perform a bitwise rotate by an odd number, resulting
+ in a better distribution of randomness throughout the bits.
+ -- Brian Carlson, 2010.
+ */
+#define ROT(X,N) (((X)<<(N)) | ((X)>>((sizeof(unsigned int)*8)-(N))))
+ seed = (999U * (unsigned int) tp.tv_sec);
+ seed = ROT (seed, 11);
+ seed += (1001 * tp.tv_usec);
+ seed = ROT (seed, 7);
+ seed += (1003 * getpid());
+ seed = ROT (seed, 13);
+ }
+
+ a[0] += seed;
+ for (i = 1; i < VectorSize; i++)
+ {
+ seed = seed*999;
+ seed = ROT (seed, 9);
+ seed += a[i-1]*1001;
+ seed = ROT (seed, 15);
+ a[i] += seed;
+ }
+
+ i1 = a[0] % VectorSize;
+ i2 = (i1 + 24) % VectorSize;
+}