xref: /titanic_51/usr/src/lib/libbc/libc/gen/common/drand48.c (revision 7c478bd95313f5f23a4c958a745db2134aa03244)
1*7c478bd9Sstevel@tonic-gate /*
2*7c478bd9Sstevel@tonic-gate  * CDDL HEADER START
3*7c478bd9Sstevel@tonic-gate  *
4*7c478bd9Sstevel@tonic-gate  * The contents of this file are subject to the terms of the
5*7c478bd9Sstevel@tonic-gate  * Common Development and Distribution License, Version 1.0 only
6*7c478bd9Sstevel@tonic-gate  * (the "License").  You may not use this file except in compliance
7*7c478bd9Sstevel@tonic-gate  * with the License.
8*7c478bd9Sstevel@tonic-gate  *
9*7c478bd9Sstevel@tonic-gate  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
10*7c478bd9Sstevel@tonic-gate  * or http://www.opensolaris.org/os/licensing.
11*7c478bd9Sstevel@tonic-gate  * See the License for the specific language governing permissions
12*7c478bd9Sstevel@tonic-gate  * and limitations under the License.
13*7c478bd9Sstevel@tonic-gate  *
14*7c478bd9Sstevel@tonic-gate  * When distributing Covered Code, include this CDDL HEADER in each
15*7c478bd9Sstevel@tonic-gate  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
16*7c478bd9Sstevel@tonic-gate  * If applicable, add the following below this CDDL HEADER, with the
17*7c478bd9Sstevel@tonic-gate  * fields enclosed by brackets "[]" replaced with your own identifying
18*7c478bd9Sstevel@tonic-gate  * information: Portions Copyright [yyyy] [name of copyright owner]
19*7c478bd9Sstevel@tonic-gate  *
20*7c478bd9Sstevel@tonic-gate  * CDDL HEADER END
21*7c478bd9Sstevel@tonic-gate  */
22*7c478bd9Sstevel@tonic-gate /*
23*7c478bd9Sstevel@tonic-gate  * Copyright 1996 Sun Microsystems, Inc.  All rights reserved.
24*7c478bd9Sstevel@tonic-gate  * Use is subject to license terms.
25*7c478bd9Sstevel@tonic-gate  */
26*7c478bd9Sstevel@tonic-gate 
27*7c478bd9Sstevel@tonic-gate /*      Copyright (c) 1984 AT&T */
28*7c478bd9Sstevel@tonic-gate /*        All Rights Reserved   */
29*7c478bd9Sstevel@tonic-gate 
30*7c478bd9Sstevel@tonic-gate #pragma ident	"%Z%%M%	%I%	%E% SMI"
31*7c478bd9Sstevel@tonic-gate 
32*7c478bd9Sstevel@tonic-gate /*LINTLIBRARY*/
33*7c478bd9Sstevel@tonic-gate /*
34*7c478bd9Sstevel@tonic-gate  *	drand48, etc. pseudo-random number generator
35*7c478bd9Sstevel@tonic-gate  *	This implementation assumes unsigned short integers of at least
36*7c478bd9Sstevel@tonic-gate  *	16 bits, long integers of at least 32 bits, and ignores
37*7c478bd9Sstevel@tonic-gate  *	overflows on adding or multiplying two unsigned integers.
38*7c478bd9Sstevel@tonic-gate  *	Two's-complement representation is assumed in a few places.
39*7c478bd9Sstevel@tonic-gate  *	Some extra masking is done if unsigneds are exactly 16 bits
40*7c478bd9Sstevel@tonic-gate  *	or longs are exactly 32 bits, but so what?
41*7c478bd9Sstevel@tonic-gate  *	An assembly-language implementation would run significantly faster.
42*7c478bd9Sstevel@tonic-gate  */
43*7c478bd9Sstevel@tonic-gate #define	N	16
44*7c478bd9Sstevel@tonic-gate #define	MASK	((unsigned)(1 << (N - 1)) + (1 << (N - 1)) - 1)
45*7c478bd9Sstevel@tonic-gate #define	LOW(x)	((unsigned)(x) & MASK)
46*7c478bd9Sstevel@tonic-gate #define	HIGH(x)	LOW((x) >> N)
47*7c478bd9Sstevel@tonic-gate #define	MUL(x, y, z)	{ long l = (long)(x) * (long)(y); \
48*7c478bd9Sstevel@tonic-gate 		(z)[0] = LOW(l); (z)[1] = HIGH(l); }
49*7c478bd9Sstevel@tonic-gate #define	CARRY(x, y)	((long)(x) + (long)(y) > MASK)
50*7c478bd9Sstevel@tonic-gate #define	ADDEQU(x, y, z)	(z = CARRY(x, (y)), x = LOW(x + (y)))
51*7c478bd9Sstevel@tonic-gate #define	X0	0x330E
52*7c478bd9Sstevel@tonic-gate #define	X1	0xABCD
53*7c478bd9Sstevel@tonic-gate #define	X2	0x1234
54*7c478bd9Sstevel@tonic-gate #define	A0	0xE66D
55*7c478bd9Sstevel@tonic-gate #define	A1	0xDEEC
56*7c478bd9Sstevel@tonic-gate #define	A2	0x5
57*7c478bd9Sstevel@tonic-gate #define	C	0xB
58*7c478bd9Sstevel@tonic-gate #define	SET3(x, x0, x1, x2)	((x)[0] = (x0), (x)[1] = (x1), (x)[2] = (x2))
59*7c478bd9Sstevel@tonic-gate #define	SETLOW(x, y, n) SET3(x, LOW((y)[n]), LOW((y)[(n)+1]), LOW((y)[(n)+2]))
60*7c478bd9Sstevel@tonic-gate #define	SEED(x0, x1, x2) (SET3(x, x0, x1, x2), SET3(a, A0, A1, A2), c = C)
61*7c478bd9Sstevel@tonic-gate #define	REST(v)							\
62*7c478bd9Sstevel@tonic-gate 	for (i = 0; i < 3; i++) {				\
63*7c478bd9Sstevel@tonic-gate 		xsubi[i] = x[i];				\
64*7c478bd9Sstevel@tonic-gate 		x[i] = temp[i];					\
65*7c478bd9Sstevel@tonic-gate 	}							\
66*7c478bd9Sstevel@tonic-gate 	return (v)
67*7c478bd9Sstevel@tonic-gate 
68*7c478bd9Sstevel@tonic-gate #define	NEST(TYPE, f, F)					\
69*7c478bd9Sstevel@tonic-gate 	TYPE f(xsubi)						\
70*7c478bd9Sstevel@tonic-gate 	register unsigned short *xsubi;				\
71*7c478bd9Sstevel@tonic-gate 	{							\
72*7c478bd9Sstevel@tonic-gate 		register int i;					\
73*7c478bd9Sstevel@tonic-gate 		register TYPE v;				\
74*7c478bd9Sstevel@tonic-gate 		unsigned temp[3];				\
75*7c478bd9Sstevel@tonic-gate 								\
76*7c478bd9Sstevel@tonic-gate 		for (i = 0; i < 3; i++) {			\
77*7c478bd9Sstevel@tonic-gate 			temp[i] = x[i];				\
78*7c478bd9Sstevel@tonic-gate 			x[i] = LOW(xsubi[i]);			\
79*7c478bd9Sstevel@tonic-gate 		}						\
80*7c478bd9Sstevel@tonic-gate 		v = F();					\
81*7c478bd9Sstevel@tonic-gate 		REST(v);					\
82*7c478bd9Sstevel@tonic-gate 	}
83*7c478bd9Sstevel@tonic-gate 
84*7c478bd9Sstevel@tonic-gate static unsigned x[3] = { X0, X1, X2 }, a[3] = { A0, A1, A2 }, c = C;
85*7c478bd9Sstevel@tonic-gate static unsigned short lastx[3];
86*7c478bd9Sstevel@tonic-gate static void next();
87*7c478bd9Sstevel@tonic-gate 
88*7c478bd9Sstevel@tonic-gate double
89*7c478bd9Sstevel@tonic-gate drand48()
90*7c478bd9Sstevel@tonic-gate {
91*7c478bd9Sstevel@tonic-gate 	static double two16m = 1.0 / (1L << N);
92*7c478bd9Sstevel@tonic-gate 
93*7c478bd9Sstevel@tonic-gate 	next();
94*7c478bd9Sstevel@tonic-gate 	return (two16m * (two16m * (two16m * x[0] + x[1]) + x[2]));
95*7c478bd9Sstevel@tonic-gate }
96*7c478bd9Sstevel@tonic-gate 
97*7c478bd9Sstevel@tonic-gate NEST(double, erand48, drand48)
98*7c478bd9Sstevel@tonic-gate 
99*7c478bd9Sstevel@tonic-gate long
100*7c478bd9Sstevel@tonic-gate lrand48()
101*7c478bd9Sstevel@tonic-gate {
102*7c478bd9Sstevel@tonic-gate 	next();
103*7c478bd9Sstevel@tonic-gate 	return (((long)x[2] << (N - 1)) + (x[1] >> 1));
104*7c478bd9Sstevel@tonic-gate }
105*7c478bd9Sstevel@tonic-gate 
106*7c478bd9Sstevel@tonic-gate long
107*7c478bd9Sstevel@tonic-gate mrand48()
108*7c478bd9Sstevel@tonic-gate {
109*7c478bd9Sstevel@tonic-gate 	next();
110*7c478bd9Sstevel@tonic-gate 	return (((long)x[2] << N) + x[1]);
111*7c478bd9Sstevel@tonic-gate }
112*7c478bd9Sstevel@tonic-gate 
113*7c478bd9Sstevel@tonic-gate static void
114*7c478bd9Sstevel@tonic-gate next()
115*7c478bd9Sstevel@tonic-gate {
116*7c478bd9Sstevel@tonic-gate 	unsigned p[2], q[2], r[2], carry0, carry1;
117*7c478bd9Sstevel@tonic-gate 
118*7c478bd9Sstevel@tonic-gate 	MUL(a[0], x[0], p);
119*7c478bd9Sstevel@tonic-gate 	ADDEQU(p[0], c, carry0);
120*7c478bd9Sstevel@tonic-gate 	ADDEQU(p[1], carry0, carry1);
121*7c478bd9Sstevel@tonic-gate 	MUL(a[0], x[1], q);
122*7c478bd9Sstevel@tonic-gate 	ADDEQU(p[1], q[0], carry0);
123*7c478bd9Sstevel@tonic-gate 	MUL(a[1], x[0], r);
124*7c478bd9Sstevel@tonic-gate 	x[2] = LOW(carry0 + carry1 + CARRY(p[1], r[0]) + q[1] + r[1] +
125*7c478bd9Sstevel@tonic-gate 		a[0] * x[2] + a[1] * x[1] + a[2] * x[0]);
126*7c478bd9Sstevel@tonic-gate 	x[1] = LOW(p[1] + r[0]);
127*7c478bd9Sstevel@tonic-gate 	x[0] = LOW(p[0]);
128*7c478bd9Sstevel@tonic-gate }
129*7c478bd9Sstevel@tonic-gate 
130*7c478bd9Sstevel@tonic-gate void
131*7c478bd9Sstevel@tonic-gate srand48(seedval)
132*7c478bd9Sstevel@tonic-gate long seedval;
133*7c478bd9Sstevel@tonic-gate {
134*7c478bd9Sstevel@tonic-gate 	SEED(X0, LOW(seedval), HIGH(seedval));
135*7c478bd9Sstevel@tonic-gate }
136*7c478bd9Sstevel@tonic-gate 
137*7c478bd9Sstevel@tonic-gate unsigned short *
138*7c478bd9Sstevel@tonic-gate seed48(seed16v)
139*7c478bd9Sstevel@tonic-gate unsigned short seed16v[3];
140*7c478bd9Sstevel@tonic-gate {
141*7c478bd9Sstevel@tonic-gate 	SETLOW(lastx, x, 0);
142*7c478bd9Sstevel@tonic-gate 	SEED(LOW(seed16v[0]), LOW(seed16v[1]), LOW(seed16v[2]));
143*7c478bd9Sstevel@tonic-gate 	return (lastx);
144*7c478bd9Sstevel@tonic-gate }
145*7c478bd9Sstevel@tonic-gate 
146*7c478bd9Sstevel@tonic-gate void
147*7c478bd9Sstevel@tonic-gate lcong48(param)
148*7c478bd9Sstevel@tonic-gate unsigned short param[7];
149*7c478bd9Sstevel@tonic-gate {
150*7c478bd9Sstevel@tonic-gate 	SETLOW(x, param, 0);
151*7c478bd9Sstevel@tonic-gate 	SETLOW(a, param, 3);
152*7c478bd9Sstevel@tonic-gate 	c = LOW(param[6]);
153*7c478bd9Sstevel@tonic-gate }
154*7c478bd9Sstevel@tonic-gate 
155*7c478bd9Sstevel@tonic-gate NEST(long, nrand48, lrand48)
156*7c478bd9Sstevel@tonic-gate 
157*7c478bd9Sstevel@tonic-gate NEST(long, jrand48, mrand48)
158*7c478bd9Sstevel@tonic-gate 
159*7c478bd9Sstevel@tonic-gate #ifdef DRIVER
160*7c478bd9Sstevel@tonic-gate /*
161*7c478bd9Sstevel@tonic-gate  *	This should print the sequences of integers in Tables 2
162*7c478bd9Sstevel@tonic-gate  *		and 1 of the TM:
163*7c478bd9Sstevel@tonic-gate  *	1623, 3442, 1447, 1829, 1305, ...
164*7c478bd9Sstevel@tonic-gate  *	657EB7255101, D72A0C966378, 5A743C062A23, ...
165*7c478bd9Sstevel@tonic-gate  */
166*7c478bd9Sstevel@tonic-gate #include <stdio.h>
167*7c478bd9Sstevel@tonic-gate 
168*7c478bd9Sstevel@tonic-gate main()
169*7c478bd9Sstevel@tonic-gate {
170*7c478bd9Sstevel@tonic-gate 	int i;
171*7c478bd9Sstevel@tonic-gate 
172*7c478bd9Sstevel@tonic-gate 	for (i = 0; i < 80; i++) {
173*7c478bd9Sstevel@tonic-gate 		printf("%4d ", (int)(4096 * drand48()));
174*7c478bd9Sstevel@tonic-gate 		printf("%.4X%.4X%.4X\n", x[2], x[1], x[0]);
175*7c478bd9Sstevel@tonic-gate 	}
176*7c478bd9Sstevel@tonic-gate }
177*7c478bd9Sstevel@tonic-gate #endif
178