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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_CONCAVE_H
+#define FL_CONCAVE_H
+
+#include "fl/term/Term.h"
+
+namespace fl {
+
+ /**
+ The Concave class is an edge Term that represents the concave membership
+ function.
+
+ @image html concave.svg
+
+ @author Juan Rada-Vilela, Ph.D.
+ @see Term
+ @see Variable
+ @since 5.0
+ */
+ class FL_API Concave : public Term {
+ private:
+ scalar _inflection, _end;
+ public:
+ explicit Concave(const std::string& name = "",
+ scalar inflection = fl::nan,
+ scalar end = fl::nan,
+ scalar height = 1.0);
+ virtual ~Concave() FL_IOVERRIDE;
+ FL_DEFAULT_COPY_AND_MOVE(Concave)
+
+ virtual std::string className() const FL_IOVERRIDE;
+ /**
+ Returns the parameters of the term as
+ @return `"inflection end [height]"`
+ */
+ virtual std::string parameters() const FL_IOVERRIDE;
+ /**
+ Configures the term with the parameters given
+ @param parameters as `"inflection 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}
+ h \times (e - i) / (2e - i - x) & \mbox{if $i \leq e \wedge x < e$
+ (increasing concave)} \cr
+ h \times (i - e) / (-2e + i + x) & \mbox{if $i > e \wedge x > e$
+ (decreasing concave)} \cr
+ h & \mbox{otherwise} \cr
+ \end{cases}@f$
+
+ where @f$h@f$ is the height of the Term,
+ @f$i@f$ is the inflection of the Concave,
+ @f$e@f$ is the end of the Concave
+ */
+ 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 inflection of the curve
+ @param inflection is the inflection of the curve
+ */
+ virtual void setInflection(scalar inflection);
+ /**
+ Gets the inflection of the curve
+ @return the inflection of the curve
+ */
+ virtual scalar getInflection() const;
+
+ /**
+ Sets the end of the curve
+ @param end is the end of the curve
+ */
+ virtual void setEnd(scalar end);
+ /**
+ Gets the end of the curve
+ @return the end of the curve
+ */
+ virtual scalar getEnd() const;
+
+ virtual Concave* clone() const FL_IOVERRIDE;
+
+ static Term* constructor();
+ };
+}
+#endif /* FL_CONCAVE_H */
+