xref: /relibc/openlibm/src/s_nextafter.c (revision 93aef7f9b1105eb8e57eda33fe77fc1aaf113418)
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 "cdefs-compat.h"
14 //__FBSDID("$FreeBSD: src/lib/msun/src/s_nextafter.c,v 1.12 2008/02/22 02:30:35 das Exp $");
15 
16 /* IEEE functions
17  *	nextafter(x,y)
18  *	return the next machine floating-point number of x in the
19  *	direction toward y.
20  *   Special cases:
21  */
22 
23 #include <float.h>
24 #include <openlibm.h>
25 
26 #include "math_private.h"
27 
28 DLLEXPORT double
29 nextafter(double x, double y)
30 {
31 	volatile double t;
32 	int32_t hx,hy,ix,iy;
33 	u_int32_t lx,ly;
34 
35 	EXTRACT_WORDS(hx,lx,x);
36 	EXTRACT_WORDS(hy,ly,y);
37 	ix = hx&0x7fffffff;		/* |x| */
38 	iy = hy&0x7fffffff;		/* |y| */
39 
40 	if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||   /* x is nan */
41 	   ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0))     /* y is nan */
42 	   return x+y;
43 	if(x==y) return y;		/* x=y, return y */
44 	if((ix|lx)==0) {			/* x == 0 */
45 	    INSERT_WORDS(x,hy&0x80000000,1);	/* return +-minsubnormal */
46 	    t = x*x;
47 	    if(t==x) return t; else return x;	/* raise underflow flag */
48 	}
49 	if(hx>=0) {				/* x > 0 */
50 	    if(hx>hy||((hx==hy)&&(lx>ly))) {	/* x > y, x -= ulp */
51 		if(lx==0) hx -= 1;
52 		lx -= 1;
53 	    } else {				/* x < y, x += ulp */
54 		lx += 1;
55 		if(lx==0) hx += 1;
56 	    }
57 	} else {				/* x < 0 */
58 	    if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
59 		if(lx==0) hx -= 1;
60 		lx -= 1;
61 	    } else {				/* x > y, x += ulp */
62 		lx += 1;
63 		if(lx==0) hx += 1;
64 	    }
65 	}
66 	hy = hx&0x7ff00000;
67 	if(hy>=0x7ff00000) return x+x;	/* overflow  */
68 	if(hy<0x00100000) {		/* underflow */
69 	    t = x*x;
70 	    if(t!=x) {		/* raise underflow flag */
71 	        INSERT_WORDS(y,hx,lx);
72 		return y;
73 	    }
74 	}
75 	INSERT_WORDS(x,hx,lx);
76 	return x;
77 }
78 
79 #if (LDBL_MANT_DIG == 53)
80 __weak_reference(nextafter, nexttoward);
81 __weak_reference(nextafter, nexttowardl);
82 __weak_reference(nextafter, nextafterl);
83 #endif
84