OpenLibm/ld80/s_nexttoward.c
Viral B. Shah 9ecf223fc1 Get the ld80 routines from OpenBSD to build on mac and linux.
Bump version number and SO major version, since we have
introduced new long double APIs.
2014-12-04 23:56:11 +05:30

86 lines
2.1 KiB
C

/* @(#)s_nextafter.c 5.1 93/09/24 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/* IEEE functions
* nexttoward(x,y)
* return the next machine floating-point number of x in the
* direction toward y.
* Special cases:
*/
#include <openlibm.h>
#include <float.h>
#include "math_private.h"
double
nexttoward(double x, long double y)
{
int32_t hx,ix,iy;
u_int32_t lx,hy,ly,esy;
EXTRACT_WORDS(hx,lx,x);
GET_LDOUBLE_WORDS(esy,hy,ly,y);
ix = hx&0x7fffffff; /* |x| */
iy = esy&0x7fff; /* |y| */
if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */
((iy>=0x7fff)&&(hy|ly)!=0)) /* y is nan */
return x+y;
if((long double) x==y) return y; /* x=y, return y */
if((ix|lx)==0) { /* x == 0 */
volatile double u;
INSERT_WORDS(x,(esy&0x8000)<<16,1); /* return +-minsub */
u = x;
u = u * u; /* raise underflow flag */
return x;
}
if(hx>=0) { /* x > 0 */
if (esy>=0x8000||((ix>>20)&0x7ff)>iy-0x3c00
|| (((ix>>20)&0x7ff)==iy-0x3c00
&& (((hx<<11)|(lx>>21))>(hy&0x7fffffff)
|| (((hx<<11)|(lx>>21))==(hy&0x7fffffff)
&& (lx<<11)>ly)))) { /* x > y, x -= ulp */
if(lx==0) hx -= 1;
lx -= 1;
} else { /* x < y, x += ulp */
lx += 1;
if(lx==0) hx += 1;
}
} else { /* x < 0 */
if (esy<0x8000||((ix>>20)&0x7ff)>iy-0x3c00
|| (((ix>>20)&0x7ff)==iy-0x3c00
&& (((hx<<11)|(lx>>21))>(hy&0x7fffffff)
|| (((hx<<11)|(lx>>21))==(hy&0x7fffffff)
&& (lx<<11)>ly)))) {/* x < y, x -= ulp */
if(lx==0) hx -= 1;
lx -= 1;
} else { /* x > y, x += ulp */
lx += 1;
if(lx==0) hx += 1;
}
}
hy = hx&0x7ff00000;
if(hy>=0x7ff00000) {
x = x+x; /* overflow */
return x;
}
if(hy<0x00100000) {
volatile double u = x*x; /* underflow */
if(u==x) {
INSERT_WORDS(x,hx,lx);
return x;
}
}
INSERT_WORDS(x,hx,lx);
return x;
}