The R Project SVN R

/*
 *  Mathlib : A C Library of Special Functions
 *  Copyright (C) 1998 Ross Ihaka
 *  Copyright (C) 2000 The R Development Core Team
 *
 *  This program is free software; you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
 *  the Free Software Foundation; either version 2 of the License, or
 *  (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with this program; if not, write to the Free Software
 *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA.
 *
 *  SYNOPSIS
 *
 *    #include "Rmath.h"
 *    double fround(double x, double digits);
 *
 *  DESCRIPTION
 *
 *    Rounds "x" to "digits" decimal digits.
 *
 */

#include "nmath.h"

#ifndef HAVE_RINT
#define USE_BUILTIN_RINT
#endif

#ifdef USE_BUILTIN_RINT
#define R_rint private_rint

/* Old version was inaccurate, confused on i386 with 80-bit intermediate
   results, and did not round to even as the help page says */
#ifdef OLD
    /* The largest integer which can be represented */
    /* exactly in floating point form. */

#define BIGGEST 4503599627370496.0E0        /* 2^52 for IEEE */

static double private_rint(double x)
{
    static double biggest = BIGGEST;
    double tmp;

    if (x != x) return x;           /* NaN */

    if (fabs(x) >= biggest)         /* Already integer */
    return x;

    if(x >= 0) {
    tmp = x + biggest;
    return tmp - biggest;
    }
    else {
    tmp = x - biggest;
    return tmp + biggest;
    }
}
#else
static double private_rint(double x)
{
    double tmp, sgn = 1.0;
    long ltmp;

    if (x != x) return x;           /* NaN */

    if (x < 0.0) {
    x = -x;
    sgn = -1.0;
    }

    if(x < (double) LONG_MAX) { /* in <limits.h> is architecture dependent */
    ltmp = x + 0.5;
    /* implement round to even */
    if(fabs(x + 0.5 - ltmp) < 10*DBL_EPSILON
       && (ltmp % 2 == 1)) ltmp--;
    tmp = ltmp;
    } else {
    /* ignore round to even: too small a point to bother */
    tmp = floor(x + 0.5);
    }
    return sgn * tmp;
}
#endif

#else
#define R_rint rint
#endif

double fround(double x, double digits)
{
#define MAX_DIGITS DBL_MAX_10_EXP
    /* = 308 (IEEE); was till R 0.99: (DBL_DIG - 1) */
    /* Note that large digits make sense for very small numbers */
    double pow10, sgn, intx;
    int dig;

#ifdef IEEE_754
    if (ISNAN(x) || ISNAN(digits))
    return x + digits;
    if(!R_FINITE(x)) return x;
#endif

    if (digits > MAX_DIGITS)
    digits = MAX_DIGITS;
    dig = (int)floor(digits + 0.5);
    pow10 = R_pow_di(10., dig);
    if(x < 0.) {
    sgn = -1.;
    x = -x;
    } else
    sgn = 1.;
    if (dig > 0) {
    intx = floor(x);
    x -= intx;
    } else
    intx = 0.;

    return sgn * (intx + R_rint(x * pow10) / pow10);
}