1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
|
/*
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 */
|
