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Implementing floor/ceil in C

Name: Anonymous 2011-06-01 13:00

how is it implemented

Name: Anonymous 2011-06-01 14:06

/* s_ceill.c -- long double version of s_ceil.c.
 * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
 */

/*
 * ====================================================
 * 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

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

#include "math.h"
#include "math_private.h"

#ifdef __STDC__
static const long double huge = 1.0e4930;
#else
static long double huge = 1.0e4930;
#endif

#ifdef __STDC__
    long double __ceill(long double x)
#else
    long double __ceill(x)
    long double x;
#endif
{
    int64_t i0,i1,j0;
    u_int64_t i,j;
    GET_LDOUBLE_WORDS64(i0,i1,x);
    j0 = ((i0>>48)&0x7fff)-0x3fff;
    if(j0<48) {
        if(j0<0) {     /* raise inexact if x != 0 */
        if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
            if(i0<0) {i0=0x8000000000000000ULL;i1=0;}
            else if((i0|i1)!=0) { i0=0x3fff000000000000ULL;i1=0;}
        }
        } else {
        i = (0x0000ffffffffffffULL)>>j0;
        if(((i0&i)|i1)==0) return x; /* x is integral */
        if(huge+x>0.0) {    /* raise inexact flag */
            if(i0>0) i0 += (0x0001000000000000LL)>>j0;
            i0 &= (~i); i1=0;
        }
        }
    } else if (j0>111) {
        if(j0==0x4000) return x+x;    /* inf or NaN */
        else return x;        /* x is integral */
    } else {
        i = -1ULL>>(j0-48);
        if((i1&i)==0) return x;    /* x is integral */
        if(huge+x>0.0) {         /* raise inexact flag */
        if(i0>0) {
            if(j0==48) i0+=1;
            else {
            j = i1+(1LL<<(112-j0));
            if(j<i1) i0 +=1 ;     /* got a carry */
            i1=j;
            }
        }
        i1 &= (~i);
        }
    }
    SET_LDOUBLE_WORDS64(x,i0,i1);
    return x;
}
weak_alias (__ceill, ceill)

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