/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */

/*

 Copyright (C) 2007 Allen Kuo

 This file is part of QuantLib, a free-software/open-source library

 for financial quantitative analysts and developers - http://quantlib.org/

 QuantLib is free software: you can redistribute it and/or modify it

 under the terms of the QuantLib license.  You should have received a

 copy of the license along with this program; if not, please email

 <quantlib-dev@lists.sf.net>. The license is also available online at

 <https://www.quantlib.org/license.shtml>.

 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 license for more details.

*/

#include <ql/math/bernsteinpolynomial.hpp>

#include <ql/math/factorial.hpp>

#include <ql/errors.hpp>

namespace QuantLib {

    Real BernsteinPolynomial::get(Natural i,

                                  Natural n,

                                  Real x) {

        Real coeff = Factorial::get(n) /

            (Factorial::get(n-i) * Factorial::get(i));

        return coeff * std::pow(x,int(i)) * std::pow(1.0-x, int(n-i));

    }

}