xref: /netbsd-src/lib/libm/src/s_rint.c (revision 1ca5c1b28139779176bd5c13ad7c5f25c0bcd5f8)
1 /* @(#)s_rint.c 5.1 93/09/24 */
2 /*
3  * ====================================================
4  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5  *
6  * Developed at SunPro, a Sun Microsystems, Inc. business.
7  * Permission to use, copy, modify, and distribute this
8  * software is freely granted, provided that this notice
9  * is preserved.
10  * ====================================================
11  */
12 
13 #include <sys/cdefs.h>
14 #if defined(LIBM_SCCS) && !defined(lint)
15 __RCSID("$NetBSD: s_rint.c,v 1.10 1999/07/02 15:37:43 simonb Exp $");
16 #endif
17 
18 /*
19  * rint(x)
20  * Return x rounded to integral value according to the prevailing
21  * rounding mode.
22  * Method:
23  *	Using floating addition.
24  * Exception:
25  *	Inexact flag raised if x not equal to rint(x).
26  */
27 
28 #include "math.h"
29 #include "math_private.h"
30 
31 #ifdef __STDC__
32 static const double
33 #else
34 static double
35 #endif
36 TWO52[2]={
37   4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
38  -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
39 };
40 
41 #ifdef __STDC__
42 	double rint(double x)
43 #else
44 	double rint(x)
45 	double x;
46 #endif
47 {
48 	int32_t i0,j0,sx;
49 	u_int32_t i,i1;
50 	double w,t;
51 	EXTRACT_WORDS(i0,i1,x);
52 	sx = (i0>>31)&1;
53 	j0 = ((i0>>20)&0x7ff)-0x3ff;
54 	if(j0<20) {
55 	    if(j0<0) {
56 		if(((i0&0x7fffffff)|i1)==0) return x;
57 		i1 |= (i0&0x0fffff);
58 		i0 &= 0xfffe0000;
59 		i0 |= ((i1|-i1)>>12)&0x80000;
60 		SET_HIGH_WORD(x,i0);
61 	        w = TWO52[sx]+x;
62 	        t =  w-TWO52[sx];
63 		GET_HIGH_WORD(i0,t);
64 		SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
65 	        return t;
66 	    } else {
67 		i = (0x000fffff)>>j0;
68 		if(((i0&i)|i1)==0) return x; /* x is integral */
69 		i>>=1;
70 		if(((i0&i)|i1)!=0) {
71 		    if(j0==19) i1 = 0x40000000; else
72 		    i0 = (i0&(~i))|((0x20000)>>j0);
73 		}
74 	    }
75 	} else if (j0>51) {
76 	    if(j0==0x400) return x+x;	/* inf or NaN */
77 	    else return x;		/* x is integral */
78 	} else {
79 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
80 	    if((i1&i)==0) return x;	/* x is integral */
81 	    i>>=1;
82 	    if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
83 	}
84 	INSERT_WORDS(x,i0,i1);
85 	w = TWO52[sx]+x;
86 	return w-TWO52[sx];
87 }
88