xref: /illumos-gate/usr/src/lib/libm/common/m9x/roundl.c (revision 49ef7e0638c8b771d8a136eae78b1c0f99acc8e0)
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 #pragma weak __roundl = roundl
31 
32 #include "libm.h"
33 
34 #if defined(__sparc)
35 long double
36 roundl(long double x) {
37 	union {
38 		unsigned i[4];
39 		long double q;
40 	} xx;
41 	unsigned hx, sx, v;
42 	int j;
43 
44 	xx.q = x;
45 	sx = xx.i[0] & 0x80000000;
46 	hx = xx.i[0] & ~0x80000000;
47 
48 	/* handle trivial cases */
49 	if (hx >= 0x406f0000) /* |x| >= 2^112 + ... or x is nan */
50 		return (hx >= 0x7fff0000 ? x + x : x);
51 
52 	/* handle |x| < 1 */
53 	if (hx < 0x3fff0000) {
54 		if (hx >= 0x3ffe0000)
55 			return (sx ? -1.0L : 1.0L);
56 		return (sx ? -0.0L : 0.0L);
57 	}
58 
59 	xx.i[0] = hx;
60 	j = 0x406f - (hx >> 16);		/* 1 <= j <= 112 */
61 	if (j >= 96) {				/* 96 <= j <= 112 */
62 		v = (1U << (j - 96)) >> 1;
63 		if (v) {
64 			if (xx.i[0] & v)
65 				xx.i[0] += v;
66 			xx.i[0] &= ~(v - 1);
67 		} else if (xx.i[1] & 0x80000000)
68 				++xx.i[0];
69 		xx.i[1] = xx.i[2] = xx.i[3] = 0;
70 	} else if (j >= 64) {			/* 64 <= j <= 95 */
71 		v = (1U << (j - 64)) >> 1;
72 		if (v) {
73 			if (xx.i[1] & v) {
74 				xx.i[1] += v;
75 				if (xx.i[1] < v)
76 					++xx.i[0];
77 			}
78 			xx.i[1] &= ~(v - 1);
79 		} else if (xx.i[2] & 0x80000000) {
80 				if (++xx.i[1] == 0)
81 					++xx.i[0];
82 		}
83 		xx.i[2] = xx.i[3] = 0;
84 	} else if (j >= 32) {			/* 32 <= j <= 63 */
85 		v = (1U << (j - 32)) >> 1;
86 		if (v) {
87 			if (xx.i[2] & v) {
88 				xx.i[2] += v;
89 				if (xx.i[2] < v) {
90 					if (++xx.i[1] == 0)
91 						++xx.i[0];
92 				}
93 			}
94 			xx.i[2] &= ~(v - 1);
95 		} else if (xx.i[3] & 0x80000000) {
96 				if (++xx.i[2] == 0) {
97 					if (++xx.i[1] == 0)
98 						++xx.i[0];
99 				}
100 		}
101 		xx.i[3] = 0;
102 	} else {				/* 1 <= j <= 31 */
103 		v = 1U << (j - 1);
104 		if (xx.i[3] & v) {
105 			xx.i[3] += v;
106 			if (xx.i[3] < v) {
107 				if (++xx.i[2] == 0) {
108 					if (++xx.i[1] == 0)
109 						++xx.i[0];
110 				}
111 			}
112 		}
113 		xx.i[3] &= ~(v - 1);
114 	}
115 
116 	/* negate result if need be */
117 	if (sx)
118 		xx.i[0] |= 0x80000000;
119 	return (xx.q);
120 }
121 #elif defined(__x86)
122 long double
123 roundl(long double x) {
124 	union {
125 		unsigned i[3];
126 		long double e;
127 	} xx;
128 	int ex, sx, i;
129 
130 	xx.e = x;
131 	ex = xx.i[2] & 0x7fff;
132 	sx = xx.i[2] & 0x8000;
133 	if (ex < 0x403e) {	/* |x| < 2^63 */
134 		if (ex < 0x3fff) {	/* |x| < 1 */
135 			if (ex >= 0x3ffe)
136 				return (sx ? -1.0L : 1.0L);
137 			return (sx ? -0.0L : 0.0L);
138 		}
139 
140 		/* round x at the integer bit */
141 		if (ex < 0x401e) {
142 			i = 1 << (0x401d - ex);
143 			xx.i[1] = (xx.i[1] + i) & ~(i | (i - 1));
144 			xx.i[0] = 0;
145 		} else {
146 			i = 1 << (0x403d - ex);
147 			xx.i[0] += i;
148 			if (xx.i[0] < i)
149 				xx.i[1]++;
150 			xx.i[0] &= ~(i | (i - 1));
151 		}
152 		if (xx.i[1] == 0) {
153 			xx.i[2] = sx | ++ex;
154 			xx.i[1] = 0x80000000U;
155 		}
156 		return (xx.e);
157 	} else if (ex < 0x7fff)	/* x is integral */
158 		return (x);
159 	else			/* inf or nan */
160 		return (x + x);
161 }
162 #else
163 #error Unknown architecture
164 #endif	/* defined(__sparc) || defined(__x86) */
165