xref: /illumos-gate/usr/src/lib/libm/common/m9x/scalbln.c (revision 25c28e83)
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 /*
23  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
24  */
25 /*
26  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
27  * Use is subject to license terms.
28  */
29 
30 #if defined(ELFOBJ)
31 #pragma weak scalbln = __scalbln
32 #endif
33 
34 #include "libm.h"
35 #include <float.h>		/* DBL_MAX, DBL_MIN */
36 
37 static const double twom54 = 5.5511151231257827021181583404541015625e-17;
38 #if defined(USE_FPSCALE) || defined(__x86)
39 static const double two52 = 4503599627370496.0;
40 #else
41 /*
42  * Normalize non-zero subnormal x and return biased exponent of x in [-51,0]
43  */
44 static int
45 ilogb_biased(unsigned *px) {
46 	int s = 52;
47 	unsigned v = px[HIWORD] & ~0x80000000, w = px[LOWORD], t = v;
48 
49 	if (t)
50 		s -= 32;
51 	else
52 		t = w;
53 	if (t & 0xffff0000)
54 		s -= 16, t >>= 16;
55 	if (t & 0xff00)
56 		s -= 8, t >>= 8;
57 	if (t & 0xf0)
58 		s -= 4, t >>= 4;
59 	t <<= 1;
60 	s -= (0xffffaa50 >> t) & 0x3;
61 	if (s < 32) {
62 		v = (v << s) | w >> (32 - s);
63 		w <<= s;
64 	} else {
65 		v = w << (s - 32);
66 		w = 0;
67 	}
68 	px[HIWORD] = (px[HIWORD] & 0x80000000) | v;
69 	px[LOWORD] = w;
70 	return (1 - s);
71 }
72 #endif	/* defined(USE_FPSCALE) */
73 
74 double
75 scalbln(double x, long n) {
76 	int *px = (int *) &x, ix, k;
77 
78 	ix = px[HIWORD] & ~0x80000000;
79 	k = ix >> 20;
80 	if (k == 0x7ff)
81 #if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN)
82 		return ((px[HIWORD] & 0x80000) != 0 ? x : x + x);
83 		/* assumes sparc-like QNaN */
84 #else
85 		return (x + x);
86 #endif
87 	if ((px[LOWORD] | ix) == 0 || n == 0)
88 		return (x);
89 	if (k == 0) {
90 #if defined(USE_FPSCALE) || defined(__x86)
91 		x *= two52;
92 		k = ((px[HIWORD] & ~0x80000000) >> 20) - 52;
93 #else
94 		k = ilogb_biased((unsigned *) px);
95 #endif
96 	}
97 	k += (int) n;
98 	if (n > 5000 || k > 0x7fe)
99 		return (DBL_MAX * copysign(DBL_MAX, x));
100 	if (n < -5000 || k <= -54)
101 		return (DBL_MIN * copysign(DBL_MIN, x));
102 	if (k > 0) {
103 		px[HIWORD] = (px[HIWORD] & ~0x7ff00000) | (k << 20);
104 		return (x);
105 	}
106 	k += 54;
107 	px[HIWORD] = (px[HIWORD] & ~0x7ff00000) | (k << 20);
108 	return (x * twom54);
109 }
110