1 /* yarandom.c -- Yet Another Random Number Generator.
3 The unportable mess that is rand(), random(), drand48() and friends led me
4 to ask Phil Karlton <karlton@netscape.com> what the Right Thing to Do was.
5 He responded with this. It is non-cryptographically secure, reasonably
6 random (more so than anything that is in any C library), and very fast.
8 I don't understand how it works at all, but he says "look at Knuth,
9 Vol. 2 (original edition), page 26, Algorithm A. In this case n=55,
14 ---------------------------
15 Note: xlockmore 4.03a10 uses this very simple RNG:
17 if ((seed = seed % 44488 * 48271 - seed / 44488 * 3399) < 0)
23 ``Dr. Park's algorithm published in the Oct. '88 ACM "Random Number
24 Generators: Good Ones Are Hard To Find" His version available at
25 ftp://cs.wm.edu/pub/rngs.tar Present form by many authors.''
27 Karlton says: ``the usual problem with that kind of RNG turns out to
28 be unexepected short cycles for some word lengths.''
30 Karlton's RNG is faster, since it does three adds and two stores, while the
31 xlockmore RNG does two multiplies, two divides, three adds, and one store.
33 Compiler optimizations make a big difference here:
34 gcc -O: difference is 1.2x.
35 gcc -O2: difference is 1.4x.
36 gcc -O3: difference is 1.5x.
37 SGI cc -O: difference is 2.4x.
38 SGI cc -O2: difference is 2.4x.
39 SGI cc -O3: difference is 5.1x.
40 Irix 6.2; Indy r5k; SGI cc version 6; gcc version 2.7.2.1.
49 # include <unistd.h> /* for getpid() */
51 #include <sys/time.h> /* for gettimeofday() */
57 /* The following 'random' numbers are taken from CRC, 18th Edition, page 622.
58 Each array element was taken from the corresponding line in the table,
59 except that a[0] was from line 100. 8s and 9s in the table were simply
60 skipped. The high order digit was taken mod 4.
63 static unsigned int a[VectorSize] = {
64 035340171546, 010401501101, 022364657325, 024130436022, 002167303062, /* 5 */
65 037570375137, 037210607110, 016272055420, 023011770546, 017143426366, /* 10 */
66 014753657433, 021657231332, 023553406142, 004236526362, 010365611275, /* 14 */
67 007117336710, 011051276551, 002362132524, 001011540233, 012162531646, /* 20 */
68 007056762337, 006631245521, 014164542224, 032633236305, 023342700176, /* 25 */
69 002433062234, 015257225043, 026762051606, 000742573230, 005366042132, /* 30 */
70 012126416411, 000520471171, 000725646277, 020116577576, 025765742604, /* 35 */
71 007633473735, 015674255275, 017555634041, 006503154145, 021576344247, /* 40 */
72 014577627653, 002707523333, 034146376720, 030060227734, 013765414060, /* 45 */
73 036072251540, 007255221037, 024364674123, 006200353166, 010126373326, /* 50 */
74 015664104320, 016401041535, 016215305520, 033115351014, 017411670323 /* 55 */
82 register int ret = a[i1] + a[i2];
84 if (++i1 >= VectorSize) i1 = 0;
85 if (++i2 >= VectorSize) i2 = 0;
90 ya_rand_init(unsigned int seed)
96 #ifdef GETTIMEOFDAY_TWO_ARGS
98 gettimeofday(&tp, &tzp);
102 /* ignore overflow */
103 seed = (999*tp.tv_sec) + (1001*tp.tv_usec) + (1003 * getpid());
107 for (i = 1; i < VectorSize; i++)
109 seed = a[i-1]*1001 + seed*999;
113 i1 = a[0] % VectorSize;
114 i2 = (i1 + 024) % VectorSize;