xref: /openbsd/lib/libm/src/s_nextafter.c (revision 3d8817e4)
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 /* IEEE functions
14  *	nextafter(x,y)
15  *	return the next machine floating-point number of x in the
16  *	direction toward y.
17  *   Special cases:
18  */
19 
20 #include "math.h"
21 #include "math_private.h"
22 
23 double
24 nextafter(double x, double y)
25 {
26 	int32_t hx,hy,ix,iy;
27 	u_int32_t lx,ly;
28 
29 	EXTRACT_WORDS(hx,lx,x);
30 	EXTRACT_WORDS(hy,ly,y);
31 	ix = hx&0x7fffffff;		/* |x| */
32 	iy = hy&0x7fffffff;		/* |y| */
33 
34 	if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||   /* x is nan */
35 	   ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0))     /* y is nan */
36 	   return x+y;
37 	if(x==y) return y;		/* x=y, return y */
38 	if((ix|lx)==0) {			/* x == 0 */
39 	    INSERT_WORDS(x,hy&0x80000000,1);	/* return +-minsubnormal */
40 	    y = x*x;
41 	    if(y==x) return y; else return x;	/* raise underflow flag */
42 	}
43 	if(hx>=0) {				/* x > 0 */
44 	    if(hx>hy||((hx==hy)&&(lx>ly))) {	/* x > y, x -= ulp */
45 		if(lx==0) hx -= 1;
46 		lx -= 1;
47 	    } else {				/* x < y, x += ulp */
48 		lx += 1;
49 		if(lx==0) hx += 1;
50 	    }
51 	} else {				/* x < 0 */
52 	    if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
53 		if(lx==0) hx -= 1;
54 		lx -= 1;
55 	    } else {				/* x > y, x += ulp */
56 		lx += 1;
57 		if(lx==0) hx += 1;
58 	    }
59 	}
60 	hy = hx&0x7ff00000;
61 	if(hy>=0x7ff00000) return x+x;	/* overflow  */
62 	if(hy<0x00100000) {		/* underflow */
63 	    y = x*x;
64 	    if(y!=x) {		/* raise underflow flag */
65 	        INSERT_WORDS(y,hx,lx);
66 		return y;
67 	    }
68 	}
69 	INSERT_WORDS(x,hx,lx);
70 	return x;
71 }
72