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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_TRAPEZOID_H
+#define FL_TRAPEZOID_H
+
+#include "fl/term/Term.h"
+
+namespace fl {
+
+ /**
+ The Trapezoid class is a basic Term that represents the trapezoidal
+ membership function.
+
+ @image html trapezoid.svg
+
+ @author Juan Rada-Vilela, Ph.D.
+ @see Term
+ @see Variable
+ @since 4.0
+ */
+ class FL_API Trapezoid : public Term {
+ private:
+ scalar _vertexA, _vertexB, _vertexC, _vertexD;
+ public:
+ explicit Trapezoid(const std::string& name = "",
+ scalar vertexA = fl::nan,
+ scalar vertexB = fl::nan,
+ scalar vertexC = fl::nan,
+ scalar vertexD = fl::nan,
+ scalar height = 1.0);
+ virtual ~Trapezoid() FL_IOVERRIDE;
+ FL_DEFAULT_COPY_AND_MOVE(Trapezoid)
+
+ virtual std::string className() const FL_IOVERRIDE;
+ /**
+ Returns the parameters of the term
+ @return `"vertexA vertexB vertexC vertexD [height]"`
+ */
+ virtual std::string parameters() const FL_IOVERRIDE;
+ /**
+ Configures the term with the parameters
+ @param parameters as `"vertexA vertexB vertexC vertexD [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 $x \not\in[a,d]$}\cr
+ h \times \min(1, (x - a) / (b - a)) & \mbox{if $x < b$}\cr
+ 1h & \mbox{if $x \leq c$}\cr
+ h (d - x) / (d - c) & \mbox{if $x < d$}\cr
+ 0h & \mbox{otherwise}
+ \end{cases}@f$
+
+ where @f$h@f$ is the height of the Term,
+ @f$a@f$ is the first vertex of the Trapezoid,
+ @f$b@f$ is the second vertex of the Trapezoid,
+ @f$c@f$ is the third vertex of the Trapezoid,
+ @f$d@f$ is the fourth vertex of the Trapezoid
+ */
+ virtual scalar membership(scalar x) const FL_IOVERRIDE;
+
+ /**
+ Sets the first vertex of the trapezoid
+ @param a is the first vertex of the trapezoid
+ */
+ virtual void setVertexA(scalar a);
+ /**
+ Gets the first vertex of the trapezoid
+ @return the first vertex of the trapezoid
+ */
+ virtual scalar getVertexA() const;
+
+ /**
+ Sets the second vertex of the trapezoid
+ @param b is the second vertex of the trapezoid
+ */
+ virtual void setVertexB(scalar b);
+ /**
+ Gets the second vertex of the trapezoid
+ @return the second vertex of the trapezoid
+ */
+ virtual scalar getVertexB() const;
+
+ /**
+ Sets the third vertex of the trapezoid
+ @param c is the third vertex of the trapezoid
+ */
+ virtual void setVertexC(scalar c);
+ /**
+ Gets the third vertex of the trapezoid
+ @return the third vertex of the trapezoid
+ */
+ virtual scalar getVertexC() const;
+
+ /**
+ Sets the fourth vertex of the trapezoid
+ @param d is the fourth vertex of the trapezoid
+ */
+ virtual void setVertexD(scalar d);
+ /**
+ Gets the fourth vertex of the trapezoid
+ @return the fourth vertex of the trapezoid
+ */
+ virtual scalar getVertexD() const;
+
+ virtual Trapezoid* clone() const FL_IOVERRIDE;
+
+ static Term* constructor();
+ };
+}
+#endif /* FL_TRAPEZOID_H */