Function.h

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//
// Copyright (c) 2009, Markus Rickert
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// * Redistributions of source code must retain the above copyright notice,
//   this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above copyright notice,
//   this list of conditions and the following disclaimer in the documentation
//   and/or other materials provided with the distribution.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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// POSSIBILITY OF SUCH DAMAGE.
//
 
#ifndef RL_MATH_FUNCTION_H
#define RL_MATH_FUNCTION_H
 
#include "Real.h"
 
namespace rl
{
    namespace math
    {
        template<typename T>
        class Function
        {
        public:
            Function() :
                x0(0),
                x1(1)
            {
            }
            
            virtual ~Function()
            {
            }
            
            virtual Function* clone() const = 0;
            
            Real duration() const
            {
                return this->upper() - this->lower();
            }
            
            Real& lower()
            {
                return this->x0;
            }
            
            const Real& lower() const
            {
                return this->x0;
            }
            
            Real& upper()
            {
                return this->x1;
            }
            
            const Real& upper() const
            {
                return this->x1;
            }
            
            virtual T operator()(const Real& x, const ::std::size_t& derivative = 0) const = 0;
            
        protected:
            Real x0;
            
            Real x1;
            
        private:
            
        };
        
        static const Real FUNCTION_BOUNDARY = 1.0e-8f;
    }
}
 
#endif // RL_MATH_FUNCTION_H