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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.
+ */
+
+#include "fl/term/Sigmoid.h"
+
+namespace fl {
+
+ Sigmoid::Sigmoid(const std::string& name, scalar inflection, scalar slope, scalar height)
+ : Term(name, height), _inflection(inflection), _slope(slope) { }
+
+ Sigmoid::~Sigmoid() { }
+
+ std::string Sigmoid::className() const {
+ return "Sigmoid";
+ }
+
+ Complexity Sigmoid::complexity() const {
+ return Complexity().comparison(1).arithmetic(1 + 4).function(1);
+ }
+
+ scalar Sigmoid::membership(scalar x) const {
+ if (Op::isNaN(x)) return fl::nan;
+ return Term::_height * 1.0 / (1.0 + std::exp(-_slope * (x - _inflection)));
+ }
+
+ scalar Sigmoid::tsukamoto(scalar activationDegree,
+ scalar minimum, scalar maximum) const {
+
+ scalar w = activationDegree;
+ scalar z = fl::nan;
+
+ if (Op::isEq(w, 1.0)) {
+ if (Op::isGE(_slope, 0.0)) {
+ z = maximum;
+ } else {
+ z = minimum;
+ }
+
+ } else if (Op::isEq(w, 0.0)) {
+ if (Op::isGE(_slope, 0.0)) {
+ z = minimum;
+ } else {
+ z = maximum;
+ }
+ } else {
+ scalar a = _slope;
+ scalar b = _inflection;
+ z = b + (std::log(1.0 / w - 1.0) / -a);
+ }
+
+ return z;
+ }
+
+ bool Sigmoid::isMonotonic() const {
+ return true;
+ }
+
+ std::string Sigmoid::parameters() const {
+ return Op::join(2, " ", _inflection, _slope) +
+ (not Op::isEq(getHeight(), 1.0) ? " " + Op::str(getHeight()) : "");
+ }
+
+ void Sigmoid::configure(const std::string& parameters) {
+ if (parameters.empty()) return;
+ std::vector<std::string> values = Op::split(parameters, " ");
+ std::size_t required = 2;
+ if (values.size() < required) {
+ std::ostringstream ex;
+ ex << "[configuration error] term <" << className() << ">"
+ << " requires <" << required << "> parameters";
+ throw Exception(ex.str(), FL_AT);
+ }
+ setInflection(Op::toScalar(values.at(0)));
+ setSlope(Op::toScalar(values.at(1)));
+ if (values.size() > required)
+ setHeight(Op::toScalar(values.at(required)));
+ }
+
+ void Sigmoid::setSlope(scalar a) {
+ this->_slope = a;
+ }
+
+ scalar Sigmoid::getSlope() const {
+ return this->_slope;
+ }
+
+ void Sigmoid::setInflection(scalar c) {
+ this->_inflection = c;
+ }
+
+ scalar Sigmoid::getInflection() const {
+ return this->_inflection;
+ }
+
+ Sigmoid::Direction Sigmoid::direction() const {
+ if (not Op::isFinite(_slope) or Op::isEq(_slope, 0.0)) return Zero;
+
+ if (Op::isGt(_slope, 0.0)) return Positive;
+
+ return Negative;
+ }
+
+ Sigmoid* Sigmoid::clone() const {
+ return new Sigmoid(*this);
+ }
+
+ Term* Sigmoid::constructor() {
+ return new Sigmoid;
+ }
+
+}