xref: /openbsd/lib/libm/src/ld128/s_nexttowardf.c (revision 264ca280)
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 <math.h>
14 
15 #include "math_private.h"
16 
17 float
18 nexttowardf(float x, long double y)
19 {
20 	int32_t hx,ix;
21 	int64_t hy,iy;
22 	u_int64_t ly;
23 
24 	GET_FLOAT_WORD(hx,x);
25 	GET_LDOUBLE_WORDS64(hy,ly,y);
26 	ix = hx&0x7fffffff;		/* |x| */
27 	iy = hy&0x7fffffffffffffffLL;	/* |y| */
28 
29 	if((ix>0x7f800000) ||   /* x is nan */
30 	   ((iy>=0x7fff000000000000LL)&&((iy-0x7fff000000000000LL)|ly)!=0))
31 				/* y is nan */
32 	   return x+y;
33 	if((long double) x==y) return y;	/* x=y, return y */
34 	if(ix==0) {				/* x == 0 */
35 	    volatile float u;
36 	    SET_FLOAT_WORD(x,(u_int32_t)((hy>>32)&0x80000000)|1);/* return +-minsub*/
37 	    u = x;
38 	    u = u * u;				/* raise underflow flag */
39 	    return x;
40 	}
41 	if(hx>=0) {				/* x > 0 */
42 	    if(hy<0||(ix>>23)>(iy>>48)-0x3f80
43 	       || ((ix>>23)==(iy>>48)-0x3f80
44 		   && (ix&0x7fffff)>((hy>>25)&0x7fffff))) {/* x > y, x -= ulp */
45 		hx -= 1;
46 	    } else {				/* x < y, x += ulp */
47 		hx += 1;
48 	    }
49 	} else {				/* x < 0 */
50 	    if(hy>=0||(ix>>23)>(iy>>48)-0x3f80
51 	       || ((ix>>23)==(iy>>48)-0x3f80
52 		   && (ix&0x7fffff)>((hy>>25)&0x7fffff))) {/* x < y, x -= ulp */
53 		hx -= 1;
54 	    } else {				/* x > y, x += ulp */
55 		hx += 1;
56 	    }
57 	}
58 	hy = hx&0x7f800000;
59 	if(hy>=0x7f800000) return x+x;	/* overflow  */
60 	if(hy<0x00800000) {
61 	    volatile float u = x*x;	/* underflow */
62 	}
63 	SET_FLOAT_WORD(x,hx);
64 	return x;
65 }
66