xref: /freebsd/lib/msun/src/s_nextafter.c (revision 1e413cf93298b5b97441a21d9a50fdcd0ee9945e)
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 #ifndef lint
14 static char rcsid[] = "$FreeBSD$";
15 #endif
16 
17 /* IEEE functions
18  *	nextafter(x,y)
19  *	return the next machine floating-point number of x in the
20  *	direction toward y.
21  *   Special cases:
22  */
23 
24 #include <sys/cdefs.h>
25 #include <float.h>
26 
27 #include "math.h"
28 #include "math_private.h"
29 
30 double
31 nextafter(double x, double y)
32 {
33 	volatile double t;
34 	int32_t hx,hy,ix,iy;
35 	u_int32_t lx,ly;
36 
37 	EXTRACT_WORDS(hx,lx,x);
38 	EXTRACT_WORDS(hy,ly,y);
39 	ix = hx&0x7fffffff;		/* |x| */
40 	iy = hy&0x7fffffff;		/* |y| */
41 
42 	if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||   /* x is nan */
43 	   ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0))     /* y is nan */
44 	   return x+y;
45 	if(x==y) return y;		/* x=y, return y */
46 	if((ix|lx)==0) {			/* x == 0 */
47 	    INSERT_WORDS(x,hy&0x80000000,1);	/* return +-minsubnormal */
48 	    t = x*x;
49 	    if(t==x) return t; else return x;	/* raise underflow flag */
50 	}
51 	if(hx>=0) {				/* x > 0 */
52 	    if(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 	} else {				/* x < 0 */
60 	    if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
61 		if(lx==0) hx -= 1;
62 		lx -= 1;
63 	    } else {				/* x > y, x += ulp */
64 		lx += 1;
65 		if(lx==0) hx += 1;
66 	    }
67 	}
68 	hy = hx&0x7ff00000;
69 	if(hy>=0x7ff00000) return x+x;	/* overflow  */
70 	if(hy<0x00100000) {		/* underflow */
71 	    t = x*x;
72 	    if(t!=x) {		/* raise underflow flag */
73 	        INSERT_WORDS(y,hx,lx);
74 		return y;
75 	    }
76 	}
77 	INSERT_WORDS(x,hx,lx);
78 	return x;
79 }
80 
81 #if (LDBL_MANT_DIG == 53)
82 __weak_reference(nextafter, nexttoward);
83 __weak_reference(nextafter, nexttowardl);
84 __weak_reference(nextafter, nextafterl);
85 #endif
86