xref: /openbsd/lib/libm/src/s_lround.c (revision 8932bfb7)
1 /*	$OpenBSD: s_lround.c,v 1.4 2011/07/06 00:02:42 martynas Exp $	*/
2 /* $NetBSD: lround.c,v 1.2 2004/10/13 15:18:32 drochner Exp $ */
3 
4 /*-
5  * Copyright (c) 2004
6  *	Matthias Drochner. All rights reserved.
7  *
8  * Redistribution and use in source and binary forms, with or without
9  * modification, are permitted provided that the following conditions
10  * are met:
11  * 1. Redistributions of source code must retain the above copyright
12  *    notice, this list of conditions and the following disclaimer.
13  * 2. Redistributions in binary form must reproduce the above copyright
14  *    notice, this list of conditions and the following disclaimer in the
15  *    documentation and/or other materials provided with the distribution.
16  *
17  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
18  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
21  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
22  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
23  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
24  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
25  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
26  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
27  * SUCH DAMAGE.
28  */
29 
30 /* LINTLIBRARY */
31 
32 #include <sys/types.h>
33 #include <sys/limits.h>
34 #include <float.h>
35 #include <math.h>
36 #include <ieeefp.h>
37 #include <machine/ieee.h>
38 #include "math_private.h"
39 
40 #ifndef LROUNDNAME
41 #define LROUNDNAME lround
42 #define RESTYPE long int
43 #define RESTYPE_MIN LONG_MIN
44 #define RESTYPE_MAX LONG_MAX
45 #endif
46 
47 #define RESTYPE_BITS (sizeof(RESTYPE) * 8)
48 
49 RESTYPE
50 LROUNDNAME(double x)
51 {
52 	u_int32_t i0, i1;
53 	int e, s, shift;
54 	RESTYPE res;
55 
56 	GET_HIGH_WORD(i0, x);
57 	e = i0 >> DBL_FRACHBITS;
58 	s = e >> DBL_EXPBITS;
59 	e = (e & 0x7ff) - DBL_EXP_BIAS;
60 
61 	/* 1.0 x 2^-1 is the smallest number which can be rounded to 1 */
62 	if (e < -1)
63 		return (0);
64 	/* 1.0 x 2^31 (or 2^63) is already too large */
65 	if (e >= (int)RESTYPE_BITS - 1)
66 		return (s ? RESTYPE_MIN : RESTYPE_MAX); /* ??? unspecified */
67 
68 	/* >= 2^52 is already an exact integer */
69 	if (e < DBL_FRACBITS) {
70 		/* add 0.5, extraction below will truncate */
71 		x += (s ? -0.5 : 0.5);
72 	}
73 
74 	EXTRACT_WORDS(i0, i1, x);
75 	e = ((i0 >> DBL_FRACHBITS) & 0x7ff) - DBL_EXP_BIAS;
76 	i0 &= 0xfffff;
77 	i0 |= (1 << DBL_FRACHBITS);
78 
79 	shift = e - DBL_FRACBITS;
80 	if (shift >=0)
81 		res = (shift < RESTYPE_BITS ? (RESTYPE)i1 << shift : 0);
82 	else
83 		res = (shift > -RESTYPE_BITS ? (RESTYPE)i1 >> -shift : 0);
84 	shift += 32;
85 	if (shift >=0)
86 		res |= (shift < RESTYPE_BITS ? (RESTYPE)i0 << shift : 0);
87 	else
88 		res |= (shift > -RESTYPE_BITS ? (RESTYPE)i0 >> -shift : 0);
89 
90 	return (s ? -res : res);
91 }
92 
93 #if	LDBL_MANT_DIG == 53
94 #ifdef	lint
95 /* PROTOLIB1 */
96 long int lroundl(long double);
97 #else	/* lint */
98 __weak_alias(lroundl, lround);
99 #endif	/* lint */
100 #endif	/* LDBL_MANT_DIG == 53 */
101