glibc/sysdeps/i386/fpu/s_nextafterl.c

/* s_nextafterl.c -- long double version of s_nextafter.c.
 * Special version for i387.
 * Conversion to long double by Ulrich Drepper,
 * Cygnus Support, drepper@cygnus.com.
 */

/*
 * ====================================================
 * 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.
 * ====================================================
 */

#if defined(LIBM_SCCS) && !defined(lint)
static char rcsid[] = "$NetBSD: $";
#endif

/* IEEE functions
 *	nextafterl(x,y)
 *	return the next machine floating-point number of x in the
 *	direction toward y.
 *   Special cases:
 */

#include <errno.h>
#include <math.h>
#include <math-barriers.h>
#include <math_private.h>
#include <libm-alias-ldouble.h>

long double __nextafterl(long double x, long double y)
{
	uint32_t hx,hy,ix,iy;
	uint32_t lx,ly;
	int32_t esx,esy;

	GET_LDOUBLE_WORDS(esx,hx,lx,x);
	GET_LDOUBLE_WORDS(esy,hy,ly,y);
	ix = esx&0x7fff;		/* |x| */
	iy = esy&0x7fff;		/* |y| */

	/* Intel's extended format has the normally implicit 1 explicit
	   present.  Sigh!  */
	if(((ix==0x7fff)&&(((hx&0x7fffffff)|lx)!=0)) ||   /* x is nan */
	   ((iy==0x7fff)&&(((hy&0x7fffffff)|ly)!=0)))     /* y is nan */
	   return x+y;
	if(x==y) return y;		/* x=y, return y */
	if((ix|hx|lx)==0) {			/* x == 0 */
	    long double u;
	    SET_LDOUBLE_WORDS(x,esy&0x8000,0,1);/* return +-minsubnormal */
	    u = math_opt_barrier (x);
	    u = u * u;
	    math_force_eval (u);		/* raise underflow flag */
	    return x;
	}
	if(esx>=0) {			/* x > 0 */
	    if(esx>esy||((esx==esy) && (hx>hy||((hx==hy)&&(lx>ly))))) {
	      /* x > y, x -= ulp */
		if(lx==0) {
		    if (hx <= 0x80000000) {
		      if (esx == 0) {
			--hx;
		      } else {
			esx -= 1;
			hx = hx - 1;
			if (esx > 0)
			  hx |= 0x80000000;
		      }
		    } else
		      hx -= 1;
		}
		lx -= 1;
	    } else {				/* x < y, x += ulp */
		lx += 1;
		if(lx==0) {
		    hx += 1;
		    if (hx==0 || (esx == 0 && hx == 0x80000000)) {
			esx += 1;
			hx |= 0x80000000;
		    }
		}
	    }
	} else {				/* x < 0 */
	    if(esy>=0||(esx>esy||((esx==esy)&&(hx>hy||((hx==hy)&&(lx>ly)))))){
	      /* x < y, x -= ulp */
		if(lx==0) {
		    if (hx <= 0x80000000 && esx != 0xffff8000) {
			esx -= 1;
			hx = hx - 1;
			if ((esx&0x7fff) > 0)
			  hx |= 0x80000000;
		    } else
		      hx -= 1;
		}
		lx -= 1;
	    } else {				/* x > y, x += ulp */
		lx += 1;
		if(lx==0) {
		    hx += 1;
		    if (hx==0 || (esx == 0xffff8000 && hx == 0x80000000)) {
			esx += 1;
			hx |= 0x80000000;
		    }
		}
	    }
	}
	esy = esx&0x7fff;
	if(esy==0x7fff) {
	    long double u = x + x;	/* overflow  */
	    math_force_eval (u);
	    __set_errno (ERANGE);
	}
	if(esy==0) {
	    long double u = x*x;		/* underflow */
	    math_force_eval (u);		/* raise underflow flag */
	    __set_errno (ERANGE);
	}
	SET_LDOUBLE_WORDS(x,esx,hx,lx);
	return x;
}
libm_alias_ldouble (__nextafter, nextafter)
strong_alias (__nextafterl, __nexttowardl)
weak_alias (__nextafterl, nexttowardl)