xref: /netbsd-src/lib/libm/src/s_nextafter.c (revision 5e4c038a45edbc7d63b7c2daa76e29f88b64a4e3)
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 1.11 2002/05/26 22:01:57 wiz 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 double
29 nextafter(double x, double y)
30 {
31 	int32_t hx,hy,ix,iy;
32 	u_int32_t lx,ly;
33 
34 	EXTRACT_WORDS(hx,lx,x);
35 	EXTRACT_WORDS(hy,ly,y);
36 	ix = hx&0x7fffffff;		/* |x| */
37 	iy = hy&0x7fffffff;		/* |y| */
38 
39 	if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||   /* x is nan */
40 	   ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0))     /* y is nan */
41 	   return x+y;
42 	if(x==y) return x;		/* x=y, return x */
43 	if((ix|lx)==0) {			/* x == 0 */
44 	    INSERT_WORDS(x,hy&0x80000000,1);	/* return +-minsubnormal */
45 	    y = x*x;
46 	    if(y==x) return y; else return x;	/* raise underflow flag */
47 	}
48 	if(hx>=0) {				/* x > 0 */
49 	    if(hx>hy||((hx==hy)&&(lx>ly))) {	/* x > y, x -= ulp */
50 		if(lx==0) hx -= 1;
51 		lx -= 1;
52 	    } else {				/* x < y, x += ulp */
53 		lx += 1;
54 		if(lx==0) hx += 1;
55 	    }
56 	} else {				/* x < 0 */
57 	    if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
58 		if(lx==0) hx -= 1;
59 		lx -= 1;
60 	    } else {				/* x > y, x += ulp */
61 		lx += 1;
62 		if(lx==0) hx += 1;
63 	    }
64 	}
65 	hy = hx&0x7ff00000;
66 	if(hy>=0x7ff00000) return x+x;	/* overflow  */
67 	if(hy<0x00100000) {		/* underflow */
68 	    y = x*x;
69 	    if(y!=x) {		/* raise underflow flag */
70 	        INSERT_WORDS(y,hx,lx);
71 		return y;
72 	    }
73 	}
74 	INSERT_WORDS(x,hx,lx);
75 	return x;
76 }
77