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/*
 *  Mathlib : A C Library of Special Functions
 *  Copyright (C) 1998 Ross Ihaka
 *
 *  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., 675 Mass Ave, Cambridge, MA 02139, USA.
 *
 *  SYNOPSIS
 *
 *    #include "Mathlib.h"
 *    double dweibull(double x, double shape, double scale);
 *
 *  DESCRIPTION
 *
 *    The density function of the Weibull distribution.
 */

#include "Mathlib.h"

double dweibull(double x, double shape, double scale)
{
    double tmp1, tmp2;
    if (
#ifdef IEEE_754
    isnan(x) || !finite(shape) || !finite(scale) ||
#endif
    shape <= 0 || scale <= 0) {
    ML_ERROR(ME_DOMAIN);
    return ML_NAN;
    }
    if (x <= 0) return 0;
#ifdef IEEE_754
    if (!finite(x)) return 0;
#endif
    tmp1 = pow(x / scale, shape - 1);
    tmp2 = tmp1 * (x / scale);
    return shape * tmp1 * exp(-tmp2) / scale;
}