bernsteinpolynomial.hpp

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/* -*- 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
 <http://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.
*/
 
/*! \file bernsteinpolynomial.hpp
    \brief Bernstein polynomials
*/
 
#ifndef quantlib_bernstein_polynomial_hpp
#define quantlib_bernstein_polynomial_hpp
 
#include <ql/types.hpp>
 
namespace QuantLib {
 
    //! class of Bernstein polynomials
    /*! see definition:
 
        Weisstein, Eric W. "Bernstein Polynomial." From MathWorld--A
        Wolfram Web Resource.
        <http://mathworld.wolfram.com/BernsteinPolynomial.html>
 
        The Bernstein polynomials \f$  B_{i,n}(x) \f$ are defined as
 
        \f[
        B_{i,n}(x) \equiv \left( \begin{array}{c} n \\ i \end{array} \right)
        x^i (1-x)^{n-i}
        \f]
    */
    class BernsteinPolynomial {
      public:
        static Real get(Natural i, Natural n, Real x) ;
    };
 
}
 
 
#endif