s_ceil.c

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/* @(#)s_ceil.c 1.3 95/01/18 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunSoft, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 */

/*
 * ceil(x)
 * Return x rounded toward -inf to integral value
 * Method:
 *  Bit twiddling.
 * Exception:
 *  Inexact flag raised if x not equal to ceil(x).
 */

#include "fdlibm.h"

#ifdef __STDC__
static const double huge = 1.0e300;
#else
static double huge = 1.0e300;
#endif

#ifdef __STDC__
    double ceil(double x)
#else
    double ceil(x)
    double x;
#endif
{
    int i0,i1,j0;
    unsigned i,j;
    i0 =  __HI(x);
    i1 =  __LO(x);
    j0 = ((i0>>20)&0x7ff)-0x3ff;
    if(j0<20) {
        if(j0<0) {  /* raise inexact if x != 0 */
        if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
            if(i0<0) {i0=0x80000000;i1=0;} 
            else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
        }
        } else {
        i = (0x000fffff)>>j0;
        if(((i0&i)|i1)==0) return x; /* x is integral */
        if(huge+x>0.0) {    /* raise inexact flag */
            if(i0>0) i0 += (0x00100000)>>j0;
            i0 &= (~i); i1=0;
        }
        }
    } else if (j0>51) {
        if(j0==0x400) return x+x;   /* inf or NaN */
        else return x;      /* x is integral */
    } else {
        i = ((unsigned)(0xffffffff))>>(j0-20);
        if((i1&i)==0) return x; /* x is integral */
        if(huge+x>0.0) {        /* raise inexact flag */
        if(i0>0) {
            if(j0==20) i0+=1; 
            else {
            j = i1 + (1<<(52-j0));
            if(j<i1) i0+=1; /* got a carry */
            i1 = j;
            }
        }
        i1 &= (~i);
        }
    }
    __HI(x) = i0;
    __LO(x) = i1;
    return x;
}