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104 lines
3.5 KiB
C++
104 lines
3.5 KiB
C++
/*
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* Derivative.hpp, part of LatAnalyze 3
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*
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* Copyright (C) 2013 - 2020 Antonin Portelli
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*
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* LatAnalyze 3 is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* LatAnalyze 3 is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with LatAnalyze 3. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef Latan_Derivative_hpp_
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#define Latan_Derivative_hpp_
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#include <LatAnalyze/Global.hpp>
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#include <LatAnalyze/Functional/Function.hpp>
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BEGIN_LATAN_NAMESPACE
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/******************************************************************************
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* Derivative *
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******************************************************************************/
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class Derivative: public DoubleFunctionFactory
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{
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public:
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static constexpr double defaultStep = 1.0e-2;
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public:
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// constructor
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Derivative(const DoubleFunction &f, const Index dir, const Index order,
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const DVec &point, const double step = defaultStep);
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// destructor
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virtual ~Derivative(void) = default;
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// access
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Index getDir(void) const;
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Index getNPoint(void) const;
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Index getOrder(void) const;
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double getStep(void) const;
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void setDir(const Index dir);
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void setFunction(const DoubleFunction &f);
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void setOrderAndPoint(const Index order, const DVec &point);
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void setStep(const double step);
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// function call
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double operator()(const double *x) const;
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// function factory
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virtual DoubleFunction makeFunction(const bool makeHardCopy = true) const;
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protected:
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// constructor
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Derivative(const DoubleFunction &f, const Index dir,
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const double step = defaultStep);
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private:
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void makeCoefficients(void);
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private:
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DoubleFunction f_;
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Index dir_, order_;
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double step_;
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DVec point_, coefficient_;
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std::shared_ptr<DVec> buffer_;
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};
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DoubleFunction derivative(const DoubleFunction &f, const Index dir,
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const Index order, const DVec point,
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const double step = Derivative::defaultStep);
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class CentralDerivative: public Derivative
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{
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public:
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static const Index defaultPrecOrder = 2;
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public:
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// constructor
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CentralDerivative(const DoubleFunction &f = DoubleFunction(),
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const Index dir = 0,
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const Index order = 1,
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const Index precOrder = defaultPrecOrder);
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// destructor
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virtual ~CentralDerivative(void) = default;
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// access
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Index getPrecOrder(void) const;
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void setOrder(const Index order, const Index precOrder = defaultPrecOrder);
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// function call
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using Derivative::operator();
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private:
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// step tuning
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void tuneStep(void);
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private:
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Index precOrder_;
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};
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DoubleFunction centralDerivative(const DoubleFunction &f, const Index dir = 0,
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const Index order = 1,
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const Index precOrder =
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CentralDerivative::defaultPrecOrder);
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END_LATAN_NAMESPACE
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#endif // Latan_Derivative_hpp_
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