base/math/s_nextafter.c

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/* @(#)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.
 * ====================================================
 */

#if defined(LIBM_SCCS) && !defined(lint)
static char rcsid[] = "$NetBSD: s_nextafter.c,v 1.8 1995/05/10 20:47:58 jtc Exp $";
#endif

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

#include "math.h"
#include "mathP.h"

#ifdef __STDC__
    double nextafter(double x, double y)
#else
    double nextafter(x,y)
    double x,y;
#endif
{
    int32_t hx,hy,ix,iy;
    u_int32_t lx,ly;

    EXTRACT_WORDS(hx,lx,x);
    EXTRACT_WORDS(hy,ly,y);
    ix = hx&0x7fffffff;     /* |x| */
    iy = hy&0x7fffffff;     /* |y| */

    if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||   /* x is nan */ 
       ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0))     /* y is nan */ 
       return x+y;              
    if(x==y) return x;      /* x=y, return x */
    if((ix|lx)==0) {            /* x == 0 */
        INSERT_WORDS(x,hy&0x80000000,1);    /* return +-minsubnormal */
        y = x*x;
        if(y==x) return y; else return x;   /* raise underflow flag */
    } 
    if(hx>=0) {             /* x > 0 */
        if(hx>hy||((hx==hy)&&(lx>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(hy>=0||hx>hy||((hx==hy)&&(lx>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) return x+x;  /* overflow  */
    if(hy<0x00100000) {     /* underflow */
        y = x*x;
        if(y!=x) {      /* raise underflow flag */
            INSERT_WORDS(y,hx,lx);
        return y;
        }
    }
    INSERT_WORDS(x,hx,lx);
    return x;
}

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