xref: /freebsd/lib/msun/src/s_nextafterl.c (revision 22d7dd834bc5cd189810e414701e3ad1e98102e4)
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 /* IEEE functions
15  *	nextafter(x,y)
16  *	return the next machine floating-point number of x in the
17  *	direction toward y.
18  *   Special cases:
19  */
20 
21 #include <float.h>
22 
23 #include "fpmath.h"
24 #include "math.h"
25 #include "math_private.h"
26 
27 #if LDBL_MAX_EXP != 0x4000
28 #error "Unsupported long double format"
29 #endif
30 
31 long double
32 nextafterl(long double x, long double y)
33 {
34 	volatile long double t;
35 	union IEEEl2bits ux, uy;
36 
37 	ux.e = x;
38 	uy.e = y;
39 
40 	if ((ux.bits.exp == 0x7fff &&
41 	     ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl) != 0) ||
42 	    (uy.bits.exp == 0x7fff &&
43 	     ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl) != 0))
44 	   return x+y;	/* x or y is nan */
45 	if(x==y) return y;		/* x=y, return y */
46 	if(x==0.0) {
47 	    ux.bits.manh = 0;			/* return +-minsubnormal */
48 	    ux.bits.manl = 1;
49 	    ux.bits.sign = uy.bits.sign;
50 	    t = ux.e*ux.e;
51 	    if(t==ux.e) return t; else return ux.e; /* raise underflow flag */
52 	}
53 	if(x>0.0 ^ x<y) {			/* x -= ulp */
54 	    if(ux.bits.manl==0) {
55 		if ((ux.bits.manh&~LDBL_NBIT)==0)
56 		    ux.bits.exp -= 1;
57 		ux.bits.manh = (ux.bits.manh - 1) | (ux.bits.manh & LDBL_NBIT);
58 	    }
59 	    ux.bits.manl -= 1;
60 	} else {				/* x += ulp */
61 	    ux.bits.manl += 1;
62 	    if(ux.bits.manl==0) {
63 		ux.bits.manh = (ux.bits.manh + 1) | (ux.bits.manh & LDBL_NBIT);
64 		if ((ux.bits.manh&~LDBL_NBIT)==0)
65 		    ux.bits.exp += 1;
66 	    }
67 	}
68 	if(ux.bits.exp==0x7fff) return x+x;	/* overflow  */
69 	if(ux.bits.exp==0) {			/* underflow */
70 	    mask_nbit_l(ux);
71 	    t = ux.e * ux.e;
72 	    if(t!=ux.e)			/* raise underflow flag */
73 		return ux.e;
74 	}
75 	return ux.e;
76 }
77 
78 __strong_reference(nextafterl, nexttowardl);
79