xref: /freebsd/lib/msun/src/s_nextafterl.c (revision 9336e0699bda8a301cd2bfa37106b6ec5e32012e)
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 "fpmath.h"
28 #include "math.h"
29 #include "math_private.h"
30 
31 #if LDBL_MAX_EXP != 0x4000
32 #error "Unsupported long double format"
33 #endif
34 
35 long double
36 nextafterl(long double x, long double y)
37 {
38 	volatile long double t;
39 	union IEEEl2bits ux, uy;
40 
41 	ux.e = x;
42 	uy.e = y;
43 
44 	if ((ux.bits.exp == 0x7fff &&
45 	     ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl) != 0) ||
46 	    (uy.bits.exp == 0x7fff &&
47 	     ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl) != 0))
48 	   return x+y;	/* x or y is nan */
49 	if(x==y) return y;		/* x=y, return y */
50 	if(x==0.0) {
51 	    ux.bits.manh = 0;			/* return +-minsubnormal */
52 	    ux.bits.manl = 1;
53 	    ux.bits.sign = uy.bits.sign;
54 	    t = ux.e*ux.e;
55 	    if(t==ux.e) return t; else return ux.e; /* raise underflow flag */
56 	}
57 	if(x>0.0 ^ x<y) {			/* x -= ulp */
58 	    if(ux.bits.manl==0) {
59 		if ((ux.bits.manh&~LDBL_NBIT)==0)
60 		    ux.bits.exp -= 1;
61 		ux.bits.manh = (ux.bits.manh - 1) | (ux.bits.manh & LDBL_NBIT);
62 	    }
63 	    ux.bits.manl -= 1;
64 	} else {				/* x += ulp */
65 	    ux.bits.manl += 1;
66 	    if(ux.bits.manl==0) {
67 		ux.bits.manh = (ux.bits.manh + 1) | (ux.bits.manh & LDBL_NBIT);
68 		if ((ux.bits.manh&~LDBL_NBIT)==0)
69 		    ux.bits.exp += 1;
70 	    }
71 	}
72 	if(ux.bits.exp==0x7fff) return x+x;	/* overflow  */
73 	if(ux.bits.exp==0) {			/* underflow */
74 	    mask_nbit_l(ux);
75 	    t = ux.e * ux.e;
76 	    if(t!=ux.e)			/* raise underflow flag */
77 		return ux.e;
78 	}
79 	return ux.e;
80 }
81 
82 __strong_reference(nextafterl, nexttowardl);
83