xref: /illumos-gate/usr/src/lib/libm/common/C/scalbn.c (revision 3ba944265c4ae1fcf23ef758537c2e4f4feec16e)
1 /*
2  * CDDL HEADER START
3  *
4  * The contents of this file are subject to the terms of the
5  * Common Development and Distribution License (the "License").
6  * You may not use this file except in compliance with the License.
7  *
8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9  * or http://www.opensolaris.org/os/licensing.
10  * See the License for the specific language governing permissions
11  * and limitations under the License.
12  *
13  * When distributing Covered Code, include this CDDL HEADER in each
14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15  * If applicable, add the following below this CDDL HEADER, with the
16  * fields enclosed by brackets "[]" replaced with your own identifying
17  * information: Portions Copyright [yyyy] [name of copyright owner]
18  *
19  * CDDL HEADER END
20  */
21 /*
22  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
23  */
24 /*
25  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
26  * Use is subject to license terms.
27  */
28 
29 #pragma weak __scalbn = scalbn
30 
31 #include "libm.h"
32 
33 static const double
34 	one	= 1.0,
35 	huge	= 1.0e300,
36 	tiny	= 1.0e-300,
37 	twom54	= 5.5511151231257827021181583404541015625e-17;
38 
39 #if defined(__x86)
40 static const double two52 = 4503599627370496.0;
41 #else
42 /*
43  * Normalize non-zero subnormal x and return biased exponent of x in [-51,0]
44  */
45 static int
46 ilogb_biased(unsigned *px) {
47 	int s = 52;
48 	unsigned v = px[HIWORD] & ~0x80000000, w = px[LOWORD], t = v;
49 
50 	if (t)
51 		s -= 32;
52 	else
53 		t = w;
54 	if (t & 0xffff0000)
55 		s -= 16, t >>= 16;
56 	if (t & 0xff00)
57 		s -= 8, t >>= 8;
58 	if (t & 0xf0)
59 		s -= 4, t >>= 4;
60 	t <<= 1;
61 	s -= (0xffffaa50 >> t) & 0x3;
62 	if (s < 32) {
63 		v = (v << s) | w >> (32 - s);
64 		w <<= s;
65 	} else {
66 		v = w << (s - 32);
67 		w = 0;
68 	}
69 	px[HIWORD] = (px[HIWORD] & 0x80000000) | v;
70 	px[LOWORD] = w;
71 	return (1 - s);
72 }
73 #endif	/* defined(__x86) */
74 
75 double
76 scalbn(double x, int n) {
77 	int	*px, ix, hx, k;
78 
79 	px = (int *)&x;
80 	ix = px[HIWORD];
81 	hx = ix & ~0x80000000;
82 	k = hx >> 20;
83 
84 	if (k == 0x7ff)	/* x is inf or NaN */
85 		return (x * one);
86 
87 	if (k == 0) {
88 		if ((hx | px[LOWORD]) == 0 || n == 0)
89 			return (x);
90 #if defined(__x86)
91 		x *= two52;
92 		ix = px[HIWORD];
93 		k = ((ix & ~0x80000000) >> 20) - 52;
94 #else
95 		k = ilogb_biased((unsigned *)px);
96 		ix = px[HIWORD];
97 #endif
98 		/* now k is in the range -51..0 */
99 		k += n;
100 		if (k > n)	/* integer overflow occurred */
101 			k = -100;
102 	} else {
103 		/* k is in the range 1..1023 */
104 		k += n;
105 		if (k < n)	/* integer overflow occurred */
106 			k = 0x7ff;
107 	}
108 
109 	if (k > 0x7fe)
110 		return (huge * ((ix < 0)? -huge : huge));
111 	if (k < 1) {
112 		if (k <= -54)
113 			return (tiny * ((ix < 0)? -tiny : tiny));
114 		k += 54;
115 		px[HIWORD] = (ix & ~0x7ff00000) | (k << 20);
116 		return (x * twom54);
117 	}
118 	px[HIWORD] = (ix & ~0x7ff00000) | (k << 20);
119 	return (x);
120 }
121