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/*
fuzzylite (R), a fuzzy logic control library in C++.
Copyright (C) 2010-2017 FuzzyLite Limited. All rights reserved.
Author: Juan Rada-Vilela, Ph.D. <jcrada@fuzzylite.com>
This file is part of fuzzylite.
fuzzylite is free software: you can redistribute it and/or modify it under
the terms of the FuzzyLite License included with the software.
You should have received a copy of the FuzzyLite License along with
fuzzylite. If not, see <http://www.fuzzylite.com/license/>.
fuzzylite is a registered trademark of FuzzyLite Limited.
*/
#ifndef FL_GAUSSIANPRODUCT_H
#define FL_GAUSSIANPRODUCT_H
#include "fl/term/Term.h"
namespace fl {
/**
The GaussianProduct class is an extended Term that represents the
two-sided %Gaussian membership function.
@image html gaussianProduct.svg
@author Juan Rada-Vilela, Ph.D.
@see Term
@see Variable
@since 4.0
*/
class FL_API GaussianProduct : public Term {
private:
scalar _meanA;
scalar _standardDeviationA;
scalar _meanB;
scalar _standardDeviationB;
public:
explicit GaussianProduct(const std::string& name = "",
scalar meanA = fl::nan,
scalar standardDeviationA = fl::nan,
scalar meanB = fl::nan,
scalar standardDeviationB = fl::nan,
scalar height = 1.0);
virtual ~GaussianProduct() FL_IOVERRIDE;
FL_DEFAULT_COPY_AND_MOVE(GaussianProduct)
virtual std::string className() const FL_IOVERRIDE;
/**
Provides the parameters of the term
@return `"meanA standardDeviationA meanB standardDeviationB [height]"`
*/
virtual std::string parameters() const FL_IOVERRIDE;
/**
Configures the term with the parameters
@param parameters as `"meanA standardDeviationA meanB
standardDeviationB [height]"`
*/
virtual void configure(const std::string& parameters) FL_IOVERRIDE;
virtual Complexity complexity() const FL_IOVERRIDE;
/**
Computes the membership function evaluated at @f$x@f$
@param x
@return @f$ h \left((1 - i) + i \times \exp(-(x - \mu_a)^2 /
(2\sigma_a^2))\right)
\left((1 - j) + j \times \exp(-(x - \mu_b)^2 / (2 \sigma_b)^2)\right)
@f$
where @f$h@f$ is the height of the Term,
@f$\mu_a@f$ is the mean of the first GaussianProduct,
@f$\sigma_a@f$ is the standard deviation of the first
GaussianProduct,
@f$\mu_b@f$ is the mean of the second GaussianProduct,
@f$\sigma_b@f$ is the standard deviation of the second
GaussianProduct,
@f$i=\begin{cases}1 & \mbox{if $x \leq \mu_a$} \cr 0
&\mbox{otherwise}\end{cases}@f$,
@f$j=\begin{cases}1 & \mbox{if $x \geq \mu_b$} \cr 0
&\mbox{otherwise}\end{cases}@f$
*/
virtual scalar membership(scalar x) const FL_IOVERRIDE;
/**
Sets the mean of the first %Gaussian curve
@param meanA is the mean of the first %Gaussian curve
*/
virtual void setMeanA(scalar meanA);
/**
Gets the mean of the first %Gaussian curve
@return the mean of the first %Gaussian curve
*/
virtual scalar getMeanA() const;
/**
Sets the standard deviation of the first %Gaussian curve
@param standardDeviationA is the standard deviation of the first %Gaussian curve
*/
virtual void setStandardDeviationA(scalar standardDeviationA);
/**
Gets the standard deviation of the first %Gaussian curve
@return the standard deviation of the first %Gaussian curve
*/
virtual scalar getStandardDeviationA() const;
/**
Sets the mean of the second %Gaussian curve
@param meanB is the mean of the second %Gaussian curve
*/
virtual void setMeanB(scalar meanB);
/**
Gets the mean of the second %Gaussian curve
@return the mean of the second %Gaussian curve
*/
virtual scalar getMeanB() const;
/**
Sets the standard deviation of the second %Gaussian curve
@param standardDeviationB is the standard deviation of the second %Gaussian curve
*/
virtual void setStandardDeviationB(scalar standardDeviationB);
/**
Gets the standard deviation of the second %Gaussian curve
@return the standard deviation of the second %Gaussian curve
*/
virtual scalar getStandardDeviationB() const;
virtual GaussianProduct* clone() const FL_IOVERRIDE;
static Term* constructor();
};
}
#endif /* FL_GAUSSIANPRODUCT_H */
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