xref: /netbsd-src/lib/libm/src/s_nexttowardf.c (revision 55bbe7aeb32e72a0fc2ea3109aebc49e9ffbd42d)
1 /*	$NetBSD: s_nexttowardf.c,v 1.5 2024/05/05 14:06:47 riastradh Exp $	*/
2 
3 /*
4  * ====================================================
5  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6  *
7  * Developed at SunPro, a Sun Microsystems, Inc. business.
8  * Permission to use, copy, modify, and distribute this
9  * software is freely granted, provided that this notice
10  * is preserved.
11  * ====================================================
12  */
13 
14 #include <sys/cdefs.h>
15 #if 0
16 __FBSDID("$FreeBSD: src/lib/msun/src/s_nexttowardf.c,v 1.3 2011/02/10 07:38:38 das Exp $");
17 #else
18 __RCSID("$NetBSD: s_nexttowardf.c,v 1.5 2024/05/05 14:06:47 riastradh Exp $");
19 #endif
20 
21 #include <string.h>
22 #include <float.h>
23 #include <machine/ieee.h>
24 
25 #include "math.h"
26 #include "math_private.h"
27 
28 /*
29  * On ports where long double is just double, reuse the ieee_double_u
30  * union as if it were ieee_ext_u -- broken-down components of (long)
31  * double values.
32  */
33 #ifndef __HAVE_LONG_DOUBLE
34 #define	ieee_ext_u	ieee_double_u
35 #define	extu_ld		dblu_d
36 #define	extu_ext	dblu_dbl
37 #define	ext_sign	dbl_sign
38 #define	ext_exp		dbl_exp
39 #define	ext_frach	dbl_frach
40 #define	ext_fracl	dbl_fracl
41 #define	EXT_EXP_INFNAN	DBL_EXP_INFNAN
42 #define	LDBL_NBIT	0
43 #endif
44 
45 /*
46  * XXX We should arrange to define LDBL_NBIT unconditionally in the
47  * appropriate MD header file.
48  */
49 #ifdef LDBL_IMPLICIT_NBIT
50 #define	LDBL_NBIT	0
51 #endif
52 
53 float
nexttowardf(float x,long double y)54 nexttowardf(float x, long double y)
55 {
56 	volatile float t;
57 	int32_t hx,ix;
58 	union ieee_ext_u uy;
59 
60 	GET_FLOAT_WORD(hx,x);
61 	ix = hx&0x7fffffff;		/* |x| */
62 
63 	memset(&uy, 0, sizeof(uy));
64 	uy.extu_ld = y;
65 	uy.extu_ext.ext_frach &= ~LDBL_NBIT;
66 
67 	if((ix>0x7f800000) ||
68 	   (uy.extu_ext.ext_exp == EXT_EXP_INFNAN &&
69 	    (uy.extu_ext.ext_frach | uy.extu_ext.ext_fracl) != 0))
70 	   return x+y;	/* x or y is nan */
71 	if(x==y) return (float)y;		/* x=y, return y */
72 	if(ix==0) {				/* x == 0 */
73 	    SET_FLOAT_WORD(x,(uy.extu_ext.ext_sign<<31)|1);/* return +-minsubnormal */
74 	    t = x*x;
75 	    if(t==x) return t; else return x;	/* raise underflow flag */
76 	}
77 	if((hx >= 0) ^ (x < y))			/* x -= ulp */
78 	    hx -= 1;
79 	else					/* x += ulp */
80 	    hx += 1;
81 	ix = hx&0x7f800000;
82 	if(ix>=0x7f800000) return x+x;	/* overflow  */
83 	if(ix<0x00800000) {		/* underflow */
84 	    t = x*x;
85 	    if(t!=x) {		/* raise underflow flag */
86 	        SET_FLOAT_WORD(x,hx);
87 		return x;
88 	    }
89 	}
90 	SET_FLOAT_WORD(x,hx);
91 	return x;
92 }
93