xref: /openbsd-src/lib/libm/src/s_rint.c (revision a28daedfc357b214be5c701aa8ba8adb29a7f1c2)
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 #if defined(LIBM_SCCS) && !defined(lint)
14 static char rcsid[] = "$NetBSD: s_rint.c,v 1.8 1995/05/10 20:48:04 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 <sys/cdefs.h>
28 #include <float.h>
29 #include <math.h>
30 
31 #include "math_private.h"
32 
33 static const double
34 TWO52[2]={
35   4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
36  -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
37 };
38 
39 double
40 rint(double x)
41 {
42 	int32_t i0,jj0,sx;
43 	u_int32_t i,i1;
44 	double w,t;
45 	EXTRACT_WORDS(i0,i1,x);
46 	sx = (i0>>31)&1;
47 	jj0 = ((i0>>20)&0x7ff)-0x3ff;
48 	if(jj0<20) {
49 	    if(jj0<0) {
50 		if(((i0&0x7fffffff)|i1)==0) return x;
51 		i1 |= (i0&0x0fffff);
52 		i0 &= 0xfffe0000;
53 		i0 |= ((i1|-i1)>>12)&0x80000;
54 		SET_HIGH_WORD(x,i0);
55 	        w = TWO52[sx]+x;
56 	        t =  w-TWO52[sx];
57 		GET_HIGH_WORD(i0,t);
58 		SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
59 	        return t;
60 	    } else {
61 		i = (0x000fffff)>>jj0;
62 		if(((i0&i)|i1)==0) return x; /* x is integral */
63 		i>>=1;
64 		if(((i0&i)|i1)!=0) {
65 		    if(jj0==19) i1 = 0x40000000; else
66 		    i0 = (i0&(~i))|((0x20000)>>jj0);
67 		}
68 	    }
69 	} else if (jj0>51) {
70 	    if(jj0==0x400) return x+x;	/* inf or NaN */
71 	    else return x;		/* x is integral */
72 	} else {
73 	    i = ((u_int32_t)(0xffffffff))>>(jj0-20);
74 	    if((i1&i)==0) return x;	/* x is integral */
75 	    i>>=1;
76 	    if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(jj0-20));
77 	}
78 	INSERT_WORDS(x,i0,i1);
79 	w = TWO52[sx]+x;
80 	return w-TWO52[sx];
81 }
82 
83 #if LDBL_MANT_DIG == 53
84 #ifdef __weak_alias
85 __weak_alias(rintl, rint);
86 #endif /* __weak_alias */
87 #endif /* LDBL_MANT_DIG == 53 */
88