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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_SSHAPE_H
#define FL_SSHAPE_H
#include "fl/term/Term.h"
namespace fl {
/**
The SShape class is an edge Term that represents the S-shaped membership
function.
@image html sShape.svg
@author Juan Rada-Vilela, Ph.D.
@see Term
@see Variable
@since 4.0
*/
class FL_API SShape : public Term {
private:
scalar _start, _end;
public:
explicit SShape(const std::string& name = "",
scalar start = fl::nan,
scalar end = fl::nan,
scalar height = 1.0);
virtual ~SShape() FL_IOVERRIDE;
FL_DEFAULT_COPY_AND_MOVE(SShape)
virtual std::string className() const FL_IOVERRIDE;
/**
Returns the parameters of the term
@return `"start end [height]"`
*/
virtual std::string parameters() const FL_IOVERRIDE;
/**
Configures the term with the parameters
@param parameters as `"start end [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$\begin{cases}
0h & \mbox{if $x \leq s$} \cr
h(2 \left((x - s) / (e-s)\right)^2) & \mbox{if $x \leq 0.5(s+e)$}\cr
h(1 - 2\left((x - e) / (e-s)\right)^2) & \mbox{if $x < e$}\cr
1h & \mbox{otherwise}
\end{cases}@f$
where @f$h@f$ is the height of the Term,
@f$s@f$ is the start of the SShape,
@f$e@f$ is the end of the SShape.
*/
virtual scalar membership(scalar x) const FL_IOVERRIDE;
virtual scalar tsukamoto(scalar activationDegree,
scalar minimum, scalar maximum) const FL_IOVERRIDE;
virtual bool isMonotonic() const FL_IOVERRIDE;
/**
Sets the start of the edge
@param start is the start of the edge
*/
virtual void setStart(scalar start);
/**
Gets the start of the edge
@return the start of the edge
*/
virtual scalar getStart() const;
/**
Sets the end of the edge
@param end is the end of the edge
*/
virtual void setEnd(scalar end);
/**
Gets the end of the edge
@return the end of the edge
*/
virtual scalar getEnd() const;
virtual SShape* clone() const FL_IOVERRIDE;
static Term* constructor();
};
}
#endif /* FL_SSHAPE_H */
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