xref: /freebsd/lib/msun/src/s_rint.c (revision 0c43d89a0d8e976ca494d4837f4c1f3734d2c300)
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 1.6 1994/08/18 23:07:16 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 "math_private.h"
29 
30 #ifdef __STDC__
31 static const double
32 #else
33 static double
34 #endif
35 TWO52[2]={
36   4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
37  -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
38 };
39 
40 #ifdef __STDC__
41 	double rint(double x)
42 #else
43 	double rint(x)
44 	double x;
45 #endif
46 {
47 	int32_t i0,j0,sx;
48 	u_int32_t i,i1;
49 	double w,t;
50 	EXTRACT_WORDS(i0,i1,x);
51 	sx = (i0>>31)&1;
52 	j0 = ((i0>>20)&0x7ff)-0x3ff;
53 	if(j0<20) {
54 	    if(j0<0) {
55 		if(((i0&0x7fffffff)|i1)==0) return x;
56 		i1 |= (i0&0x0fffff);
57 		i0 &= 0xfffe0000;
58 		i0 |= ((i1|-i1)>>12)&0x80000;
59 		SET_HIGH_WORD(x,i0);
60 	        w = TWO52[sx]+x;
61 	        t =  w-TWO52[sx];
62 		GET_HIGH_WORD(i0,t);
63 		SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
64 	        return t;
65 	    } else {
66 		i = (0x000fffff)>>j0;
67 		if(((i0&i)|i1)==0) return x; /* x is integral */
68 		i>>=1;
69 		if(((i0&i)|i1)!=0) {
70 		    if(j0==19) i1 = 0x40000000; else
71 		    i0 = (i0&(~i))|((0x20000)>>j0);
72 		}
73 	    }
74 	} else if (j0>51) {
75 	    if(j0==0x400) return x+x;	/* inf or NaN */
76 	    else return x;		/* x is integral */
77 	} else {
78 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
79 	    if((i1&i)==0) return x;	/* x is integral */
80 	    i>>=1;
81 	    if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
82 	}
83 	INSERT_WORDS(x,i0,i1);
84 	w = TWO52[sx]+x;
85 	return w-TWO52[sx];
86 }
87