xref: /netbsd-src/lib/libm/src/s_rint.c (revision d9158b13b5dfe46201430699a3f7a235ecf28df3)
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 #ifndef lint
14 static char rcsid[] = "$Id: s_rint.c,v 1.4 1994/03/03 17:04:45 jtc Exp $";
15 #endif
16 
17 /*
18  * rint(x)
19  * Return x rounded to integral value according to the prevailing
20  * rounding mode.
21  * Method:
22  *	Using floating addition.
23  * Exception:
24  *	Inexact flag raised if x not equal to rint(x).
25  */
26 
27 #include <math.h>
28 #include <machine/endian.h>
29 
30 #if BYTE_ORDER == LITTLE_ENDIAN
31 #define n0	1
32 #else
33 #define n0	0
34 #endif
35 
36 #ifdef __STDC__
37 static const double
38 #else
39 static double
40 #endif
41 TWO52[2]={
42   4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
43  -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
44 };
45 
46 #ifdef __STDC__
47 	double rint(double x)
48 #else
49 	double rint(x)
50 	double x;
51 #endif
52 {
53 	int i0,j0,sx;
54 	unsigned i,i1;
55 	double w,t;
56 	i0 =  *(n0+(int*)&x);
57 	sx = (i0>>31)&1;
58 	i1 =  *(1-n0+(int*)&x);
59 	j0 = ((i0>>20)&0x7ff)-0x3ff;
60 	if(j0<20) {
61 	    if(j0<0) {
62 		if(((i0&0x7fffffff)|i1)==0) return x;
63 		i1 |= (i0&0x0fffff);
64 		i0 &= 0xfffe0000;
65 		i0 |= ((i1|-i1)>>12)&0x80000;
66 		*(n0+(int*)&x)=i0;
67 	        w = TWO52[sx]+x;
68 	        t =  w-TWO52[sx];
69 	        i0 = *(n0+(int*)&t);
70 	        *(n0+(int*)&t) = (i0&0x7fffffff)|(sx<<31);
71 	        return t;
72 	    } else {
73 		i = (0x000fffff)>>j0;
74 		if(((i0&i)|i1)==0) return x; /* x is integral */
75 		i>>=1;
76 		if(((i0&i)|i1)!=0) {
77 		    if(j0==19) i1 = 0x40000000; else
78 		    i0 = (i0&(~i))|((0x20000)>>j0);
79 		}
80 	    }
81 	} else if (j0>51) {
82 	    if(j0==0x400) return x+x;	/* inf or NaN */
83 	    else return x;		/* x is integral */
84 	} else {
85 	    i = ((unsigned)(0xffffffff))>>(j0-20);
86 	    if((i1&i)==0) return x;	/* x is integral */
87 	    i>>=1;
88 	    if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
89 	}
90 	*(n0+(int*)&x) = i0;
91 	*(1-n0+(int*)&x) = i1;
92 	w = TWO52[sx]+x;
93 	return w-TWO52[sx];
94 }
95