xref: /illumos-gate/usr/src/lib/libm/common/C/exp2.c (revision 25c28e83beb90e7c80452a7c818c5e6f73a07dc8)
1*25c28e83SPiotr Jasiukajtis /*
2*25c28e83SPiotr Jasiukajtis  * CDDL HEADER START
3*25c28e83SPiotr Jasiukajtis  *
4*25c28e83SPiotr Jasiukajtis  * The contents of this file are subject to the terms of the
5*25c28e83SPiotr Jasiukajtis  * Common Development and Distribution License (the "License").
6*25c28e83SPiotr Jasiukajtis  * You may not use this file except in compliance with the License.
7*25c28e83SPiotr Jasiukajtis  *
8*25c28e83SPiotr Jasiukajtis  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9*25c28e83SPiotr Jasiukajtis  * or http://www.opensolaris.org/os/licensing.
10*25c28e83SPiotr Jasiukajtis  * See the License for the specific language governing permissions
11*25c28e83SPiotr Jasiukajtis  * and limitations under the License.
12*25c28e83SPiotr Jasiukajtis  *
13*25c28e83SPiotr Jasiukajtis  * When distributing Covered Code, include this CDDL HEADER in each
14*25c28e83SPiotr Jasiukajtis  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15*25c28e83SPiotr Jasiukajtis  * If applicable, add the following below this CDDL HEADER, with the
16*25c28e83SPiotr Jasiukajtis  * fields enclosed by brackets "[]" replaced with your own identifying
17*25c28e83SPiotr Jasiukajtis  * information: Portions Copyright [yyyy] [name of copyright owner]
18*25c28e83SPiotr Jasiukajtis  *
19*25c28e83SPiotr Jasiukajtis  * CDDL HEADER END
20*25c28e83SPiotr Jasiukajtis  */
21*25c28e83SPiotr Jasiukajtis /*
22*25c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
23*25c28e83SPiotr Jasiukajtis  */
24*25c28e83SPiotr Jasiukajtis /*
25*25c28e83SPiotr Jasiukajtis  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
26*25c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
27*25c28e83SPiotr Jasiukajtis  */
28*25c28e83SPiotr Jasiukajtis 
29*25c28e83SPiotr Jasiukajtis #pragma weak exp2 = __exp2
30*25c28e83SPiotr Jasiukajtis 
31*25c28e83SPiotr Jasiukajtis /* INDENT OFF */
32*25c28e83SPiotr Jasiukajtis /*
33*25c28e83SPiotr Jasiukajtis  * exp2(x)
34*25c28e83SPiotr Jasiukajtis  * Code by K.C. Ng for SUN 4.0 libm.
35*25c28e83SPiotr Jasiukajtis  * Method :
36*25c28e83SPiotr Jasiukajtis  *	exp2(x) = 2**x = 2**((x-anint(x))+anint(x))
37*25c28e83SPiotr Jasiukajtis  *		= 2**anint(x)*2**(x-anint(x))
38*25c28e83SPiotr Jasiukajtis  *		= 2**anint(x)*exp((x-anint(x))*ln2)
39*25c28e83SPiotr Jasiukajtis  */
40*25c28e83SPiotr Jasiukajtis /* INDENT ON */
41*25c28e83SPiotr Jasiukajtis 
42*25c28e83SPiotr Jasiukajtis #include "libm.h"
43*25c28e83SPiotr Jasiukajtis 
44*25c28e83SPiotr Jasiukajtis static const double C[] = {
45*25c28e83SPiotr Jasiukajtis 	0.0,
46*25c28e83SPiotr Jasiukajtis 	1.0,
47*25c28e83SPiotr Jasiukajtis 	0.5,
48*25c28e83SPiotr Jasiukajtis 	6.93147180559945286227e-01,
49*25c28e83SPiotr Jasiukajtis 	1.0e300,
50*25c28e83SPiotr Jasiukajtis 	1.0e-300,
51*25c28e83SPiotr Jasiukajtis };
52*25c28e83SPiotr Jasiukajtis 
53*25c28e83SPiotr Jasiukajtis #define	zero	C[0]
54*25c28e83SPiotr Jasiukajtis #define	one	C[1]
55*25c28e83SPiotr Jasiukajtis #define	half	C[2]
56*25c28e83SPiotr Jasiukajtis #define	ln2	C[3]
57*25c28e83SPiotr Jasiukajtis #define	huge	C[4]
58*25c28e83SPiotr Jasiukajtis #define	tiny	C[5]
59*25c28e83SPiotr Jasiukajtis 
60*25c28e83SPiotr Jasiukajtis double
61*25c28e83SPiotr Jasiukajtis exp2(double x) {
62*25c28e83SPiotr Jasiukajtis 	int	ix, hx, k;
63*25c28e83SPiotr Jasiukajtis 	double	t;
64*25c28e83SPiotr Jasiukajtis 
65*25c28e83SPiotr Jasiukajtis 	ix = ((int *)&x)[HIWORD];
66*25c28e83SPiotr Jasiukajtis 	hx = ix & ~0x80000000;
67*25c28e83SPiotr Jasiukajtis 
68*25c28e83SPiotr Jasiukajtis 	if (hx >= 0x4090e000) {	/* |x| >= 1080 or x is nan */
69*25c28e83SPiotr Jasiukajtis 		if (hx >= 0x7ff00000) {	/* x is inf or nan */
70*25c28e83SPiotr Jasiukajtis 			if (ix == 0xfff00000 && ((int *)&x)[LOWORD] == 0)
71*25c28e83SPiotr Jasiukajtis 				return (zero);
72*25c28e83SPiotr Jasiukajtis 			return (x * x);
73*25c28e83SPiotr Jasiukajtis 		}
74*25c28e83SPiotr Jasiukajtis 		t = (ix < 0)? tiny : huge;
75*25c28e83SPiotr Jasiukajtis 		return (t * t);
76*25c28e83SPiotr Jasiukajtis 	}
77*25c28e83SPiotr Jasiukajtis 
78*25c28e83SPiotr Jasiukajtis 	if (hx < 0x3fe00000) {	/* |x| < 0.5 */
79*25c28e83SPiotr Jasiukajtis 		if (hx < 0x3c000000)
80*25c28e83SPiotr Jasiukajtis 			return (one + x);
81*25c28e83SPiotr Jasiukajtis 		return (exp(ln2 * x));
82*25c28e83SPiotr Jasiukajtis 	}
83*25c28e83SPiotr Jasiukajtis 
84*25c28e83SPiotr Jasiukajtis 	k = (int)x;
85*25c28e83SPiotr Jasiukajtis 	if (x != (double)k)
86*25c28e83SPiotr Jasiukajtis 		k = (int)((ix < 0)? x - half : x + half);
87*25c28e83SPiotr Jasiukajtis 	return (scalbn(exp(ln2 * (x - (double)k)), k));
88*25c28e83SPiotr Jasiukajtis }
89