xref: /relibc/openlibm/src/s_nexttoward.c (revision 2a1e56858a696c09eef310ceea1ede6ccd0b229c)
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_nexttoward.c,v 1.3 2011/02/10 07:38:13 das Exp $");
15 
16 /*
17  * We assume that a long double has a 15-bit exponent.  On systems
18  * where long double is the same as double, nexttoward() is an alias
19  * for nextafter(), so we don't use this routine.
20  */
21 
22 #include <float.h>
23 #include <openlibm_math.h>
24 
25 #include "fpmath.h"
26 #include "math_private.h"
27 
28 #if LDBL_MAX_EXP != 0x4000
29 #error "Unsupported long double format"
30 #endif
31 
32 OLM_DLLEXPORT double
33 nexttoward(double x, long double y)
34 {
35 	union IEEEl2bits uy;
36 	volatile double t;
37 	int32_t hx,ix;
38 	u_int32_t lx;
39 
40 	EXTRACT_WORDS(hx,lx,x);
41 	ix = hx&0x7fffffff;		/* |x| */
42 	uy.e = y;
43 
44 	if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||
45 	    (uy.bits.exp == 0x7fff &&
46 	     ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl) != 0))
47 	   return x+y;	/* x or y is nan */
48 	if(x==y) return (double)y;		/* x=y, return y */
49 	if(x==0.0) {
50 	    INSERT_WORDS(x,uy.bits.sign<<31,1);	/* return +-minsubnormal */
51 	    t = x*x;
52 	    if(t==x) return t; else return x;	/* raise underflow flag */
53 	}
54 	if((hx>0.0) ^ (x < y)) {			/* x -= ulp */
55 	    if(lx==0) hx -= 1;
56 	    lx -= 1;
57 	} else {				/* x += ulp */
58 	    lx += 1;
59 	    if(lx==0) hx += 1;
60 	}
61 	ix = hx&0x7ff00000;
62 	if(ix>=0x7ff00000) return x+x;	/* overflow  */
63 	if(ix<0x00100000) {		/* underflow */
64 	    t = x*x;
65 	    if(t!=x) {		/* raise underflow flag */
66 	        INSERT_WORDS(x,hx,lx);
67 		return x;
68 	    }
69 	}
70 	INSERT_WORDS(x,hx,lx);
71 	return x;
72 }
73