xref: /illumos-gate/usr/src/lib/libm/common/m9x/nearbyintl.c (revision 45ede40b2394db7967e59f19288fae9b62efd4aa)
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 nearbyintl = __nearbyintl
31 
32 #include "libm.h"
33 #include "fma.h"
34 #include "fenv_inlines.h"
35 
36 #if defined(__sparc)
37 
38 static union {
39 	unsigned i;
40 	float f;
41 } snan = { 0x7f800001 };
42 
43 long double
44 __nearbyintl(long double x) {
45 	union {
46 		unsigned i[4];
47 		long double q;
48 	} xx;
49 	unsigned hx, sx, i, frac;
50 	unsigned int fsr;
51 	int rm, j;
52 	volatile float	dummy;
53 
54 	xx.q = x;
55 	sx = xx.i[0] & 0x80000000;
56 	hx = xx.i[0] & ~0x80000000;
57 
58 	/* handle trivial cases */
59 	if (hx >= 0x406f0000) {	/* x is nan, inf, or already integral */
60 		/* check for signaling nan */
61 		if ((hx > 0x7fff0000 || (hx == 0x7fff0000 &&
62 			(xx.i[1] | xx.i[2] | xx.i[3]))) && !(hx & 0x8000)) {
63 			dummy = snan.f;
64 			dummy += snan.f;
65 			xx.i[0] = sx | hx | 0x8000;
66 		}
67 		return (xx.q);
68 	} else if ((hx | xx.i[1] | xx.i[2] | xx.i[3]) == 0)	/* x is zero */
69 		return (x);
70 
71 	/* get the rounding mode */
72 	__fenv_getfsr32(&fsr);
73 	rm = fsr >> 30;
74 
75 	/* flip the sense of directed roundings if x is negative */
76 	if (sx)
77 		rm ^= rm >> 1;
78 
79 	/* handle |x| < 1 */
80 	if (hx < 0x3fff0000) {
81 		if (rm == FSR_RP || (rm == FSR_RN && (hx >= 0x3ffe0000 &&
82 			((hx & 0xffff) | xx.i[1] | xx.i[2] | xx.i[3]))))
83 			xx.i[0] = sx | 0x3fff0000;
84 		else
85 			xx.i[0] = sx;
86 		xx.i[1] = xx.i[2] = xx.i[3] = 0;
87 		return (xx.q);
88 	}
89 
90 	/* round x at the integer bit */
91 	j = 0x406f - (hx >> 16);
92 	if (j >= 96) {
93 		i = 1 << (j - 96);
94 		frac = ((xx.i[0] << 1) << (127 - j)) | (xx.i[1] >> (j - 96));
95 		if ((xx.i[1] & (i - 1)) | xx.i[2] | xx.i[3])
96 			frac |= 1;
97 		if (!frac)
98 			return (x);
99 		xx.i[1] = xx.i[2] = xx.i[3] = 0;
100 		xx.i[0] &= ~(i - 1);
101 		if (rm == FSR_RP || (rm == FSR_RN && (frac > 0x80000000u ||
102 			(frac == 0x80000000 && (xx.i[0] & i)))))
103 			xx.i[0] += i;
104 	} else if (j >= 64) {
105 		i = 1 << (j - 64);
106 		frac = ((xx.i[1] << 1) << (95 - j)) | (xx.i[2] >> (j - 64));
107 		if ((xx.i[2] & (i - 1)) | xx.i[3])
108 			frac |= 1;
109 		if (!frac)
110 			return (x);
111 		xx.i[2] = xx.i[3] = 0;
112 		xx.i[1] &= ~(i - 1);
113 		if (rm == FSR_RP || (rm == FSR_RN && (frac > 0x80000000u ||
114 			(frac == 0x80000000 && (xx.i[1] & i))))) {
115 			xx.i[1] += i;
116 			if (xx.i[1] == 0)
117 				xx.i[0]++;
118 		}
119 	} else if (j >= 32) {
120 		i = 1 << (j - 32);
121 		frac = ((xx.i[2] << 1) << (63 - j)) | (xx.i[3] >> (j - 32));
122 		if (xx.i[3] & (i - 1))
123 			frac |= 1;
124 		if (!frac)
125 			return (x);
126 		xx.i[3] = 0;
127 		xx.i[2] &= ~(i - 1);
128 		if (rm == FSR_RP || (rm == FSR_RN && (frac > 0x80000000u ||
129 			(frac == 0x80000000 && (xx.i[2] & i))))) {
130 			xx.i[2] += i;
131 			if (xx.i[2] == 0)
132 				if (++xx.i[1] == 0)
133 					xx.i[0]++;
134 		}
135 	} else {
136 		i = 1 << j;
137 		frac = (xx.i[3] << 1) << (31 - j);
138 		if (!frac)
139 			return (x);
140 		xx.i[3] &= ~(i - 1);
141 		if (rm == FSR_RP || (rm == FSR_RN && (frac > 0x80000000u ||
142 			(frac == 0x80000000 && (xx.i[3] & i))))) {
143 			xx.i[3] += i;
144 			if (xx.i[3] == 0)
145 				if (++xx.i[2] == 0)
146 					if (++xx.i[1] == 0)
147 						xx.i[0]++;
148 		}
149 	}
150 
151 	return (xx.q);
152 }
153 
154 #elif defined(__x86)
155 
156 /* inline template */
157 extern long double frndint(long double);
158 
159 long double
160 __nearbyintl(long double x) {
161 	long double z;
162 	unsigned oldcwsw, cwsw;
163 
164 	/* save the control and status words, mask the inexact exception */
165 	__fenv_getcwsw(&oldcwsw);
166 	cwsw = oldcwsw | 0x00200000;
167 	__fenv_setcwsw(&cwsw);
168 
169 	z = frndint(x);
170 
171 	/*
172 	 * restore the control and status words, preserving all but the
173 	 * inexact flag
174 	 */
175 	__fenv_getcwsw(&cwsw);
176 	oldcwsw |= (cwsw & 0x1f);
177 	__fenv_setcwsw(&oldcwsw);
178 
179 	return (z);
180 }
181 
182 #else
183 #error Unknown architecture
184 #endif
185