xref: /netbsd-src/lib/libm/src/s_nextafter.c (revision 1ca5c1b28139779176bd5c13ad7c5f25c0bcd5f8)
1 /* @(#)s_nextafter.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_nextafter.c,v 1.10 1999/07/02 15:37:43 simonb Exp $");
16 #endif
17 
18 /* IEEE functions
19  *	nextafter(x,y)
20  *	return the next machine floating-point number of x in the
21  *	direction toward y.
22  *   Special cases:
23  */
24 
25 #include "math.h"
26 #include "math_private.h"
27 
28 #ifdef __STDC__
29 	double nextafter(double x, double y)
30 #else
31 	double nextafter(x,y)
32 	double x,y;
33 #endif
34 {
35 	int32_t hx,hy,ix,iy;
36 	u_int32_t lx,ly;
37 
38 	EXTRACT_WORDS(hx,lx,x);
39 	EXTRACT_WORDS(hy,ly,y);
40 	ix = hx&0x7fffffff;		/* |x| */
41 	iy = hy&0x7fffffff;		/* |y| */
42 
43 	if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||   /* x is nan */
44 	   ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0))     /* y is nan */
45 	   return x+y;
46 	if(x==y) return x;		/* x=y, return x */
47 	if((ix|lx)==0) {			/* x == 0 */
48 	    INSERT_WORDS(x,hy&0x80000000,1);	/* return +-minsubnormal */
49 	    y = x*x;
50 	    if(y==x) return y; else return x;	/* raise underflow flag */
51 	}
52 	if(hx>=0) {				/* x > 0 */
53 	    if(hx>hy||((hx==hy)&&(lx>ly))) {	/* x > y, x -= ulp */
54 		if(lx==0) hx -= 1;
55 		lx -= 1;
56 	    } else {				/* x < y, x += ulp */
57 		lx += 1;
58 		if(lx==0) hx += 1;
59 	    }
60 	} else {				/* x < 0 */
61 	    if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
62 		if(lx==0) hx -= 1;
63 		lx -= 1;
64 	    } else {				/* x > y, x += ulp */
65 		lx += 1;
66 		if(lx==0) hx += 1;
67 	    }
68 	}
69 	hy = hx&0x7ff00000;
70 	if(hy>=0x7ff00000) return x+x;	/* overflow  */
71 	if(hy<0x00100000) {		/* underflow */
72 	    y = x*x;
73 	    if(y!=x) {		/* raise underflow flag */
74 	        INSERT_WORDS(y,hx,lx);
75 		return y;
76 	    }
77 	}
78 	INSERT_WORDS(x,hx,lx);
79 	return x;
80 }
81