|
1
|
|
|
<?php |
|
2
|
|
|
/** |
|
3
|
|
|
* Matrix.php |
|
4
|
|
|
* |
|
5
|
|
|
* PHP version 5.6+ |
|
6
|
|
|
* |
|
7
|
|
|
* @author Philippe Gaultier <[email protected]> |
|
8
|
|
|
* @copyright 2010-2016 Philippe Gaultier |
|
9
|
|
|
* @license http://www.sweelix.net/license license |
|
10
|
|
|
* @version XXX |
|
11
|
|
|
* @link http://www.sweelix.net |
|
12
|
|
|
* @package sweelix\tree |
|
13
|
|
|
*/ |
|
14
|
|
|
|
|
15
|
|
|
namespace sweelix\tree; |
|
16
|
|
|
|
|
17
|
|
|
/** |
|
18
|
|
|
* Simple Matrix 2x2 tools |
|
19
|
|
|
* |
|
20
|
|
|
* Matrix | a, b | is written in array [a, b, c, d] |
|
21
|
|
|
* | c, d | |
|
22
|
|
|
* |
|
23
|
|
|
* @author Philippe Gaultier <[email protected]> |
|
24
|
|
|
* @copyright 2010-2016 Philippe Gaultier |
|
25
|
|
|
* @license http://www.sweelix.net/license license |
|
26
|
|
|
* @version XXX |
|
27
|
|
|
* @link http://www.sweelix.net |
|
28
|
|
|
* @package sweelix\tree |
|
29
|
|
|
* @since XXX |
|
30
|
|
|
*/ |
|
31
|
|
|
class Matrix |
|
32
|
|
|
{ |
|
33
|
|
|
/** |
|
34
|
|
|
* @var number a11 |
|
35
|
|
|
*/ |
|
36
|
|
|
public $a; |
|
37
|
|
|
|
|
38
|
|
|
/** |
|
39
|
|
|
* @var number a12 |
|
40
|
|
|
*/ |
|
41
|
|
|
public $b; |
|
42
|
|
|
|
|
43
|
|
|
/** |
|
44
|
|
|
* @var number a21 |
|
45
|
|
|
*/ |
|
46
|
|
|
public $c; |
|
47
|
|
|
|
|
48
|
|
|
/** |
|
49
|
|
|
* @var number a22 |
|
50
|
|
|
*/ |
|
51
|
|
|
public $d; |
|
52
|
|
|
|
|
53
|
|
|
private $determinant; |
|
|
|
|
|
|
54
|
|
|
|
|
55
|
|
|
/** |
|
56
|
|
|
* Matrix constructor. |
|
57
|
|
|
* @param array $data array must be in format [a, b, c, d] |
|
58
|
|
|
*/ |
|
59
|
|
|
public function __construct(array $data) |
|
60
|
|
|
{ |
|
61
|
|
|
list($this->a, $this->b, $this->c, $this->d) = $data; |
|
62
|
|
|
} |
|
63
|
|
|
|
|
64
|
|
|
/** |
|
65
|
|
|
* @return number matrix determinant |
|
66
|
|
|
* @since XXX |
|
67
|
|
|
*/ |
|
68
|
|
|
public function getDeterminant() |
|
69
|
|
|
{ |
|
70
|
|
|
return ($this->a * $this->d) - ($this->b * $this->c); |
|
71
|
|
|
} |
|
72
|
|
|
|
|
73
|
|
|
/** |
|
74
|
|
|
* @param Matrix|number $element element to multiply to the matrix |
|
75
|
|
|
* @since XXX |
|
76
|
|
|
*/ |
|
77
|
|
|
public function multiply($element) |
|
78
|
|
|
{ |
|
79
|
|
|
if ($element instanceof Matrix) { |
|
80
|
|
|
$resultMatrix = [ |
|
81
|
|
|
$this->a * $element->a + $this->b * $element->c, |
|
82
|
|
|
$this->a * $element->b + $this->b * $element->d, |
|
83
|
|
|
$this->c * $element->a + $this->d * $element->c, |
|
84
|
|
|
$this->c * $element->b + $this->d * $element->d, |
|
85
|
|
|
]; |
|
86
|
|
|
list($this->a, $this->b, $this->c, $this->d) = $resultMatrix; |
|
87
|
|
|
} else { |
|
88
|
|
|
$this->a *= $element; |
|
89
|
|
|
$this->b *= $element; |
|
90
|
|
|
$this->c *= $element; |
|
91
|
|
|
$this->d *= $element; |
|
92
|
|
|
} |
|
93
|
|
|
} |
|
94
|
|
|
|
|
95
|
|
|
/** |
|
96
|
|
|
* Transform matrix to its own adjugate |
|
97
|
|
|
* @since XXX |
|
98
|
|
|
*/ |
|
99
|
|
|
public function adjugate() |
|
100
|
|
|
{ |
|
101
|
|
|
$resultMatrix = [ |
|
102
|
|
|
$this->d, -1 * $this->b, |
|
103
|
|
|
-1 * $this->c, $this->a, |
|
104
|
|
|
]; |
|
105
|
|
|
list($this->a, $this->b, $this->c, $this->d) = $resultMatrix; |
|
106
|
|
|
} |
|
107
|
|
|
|
|
108
|
|
|
/** |
|
109
|
|
|
* Transform matrix to its own inverse |
|
110
|
|
|
* @since XXX |
|
111
|
|
|
*/ |
|
112
|
|
|
public function inverse() |
|
113
|
|
|
{ |
|
114
|
|
|
$determinant = $this->getDeterminant(); |
|
115
|
|
|
$this->adjugate(); |
|
116
|
|
|
$this->multiply(1 / $determinant); |
|
117
|
|
|
} |
|
118
|
|
|
|
|
119
|
|
|
/** |
|
120
|
|
|
* Transpose matrix |
|
121
|
|
|
* @since XXX |
|
122
|
|
|
*/ |
|
123
|
|
|
public function transpose() |
|
124
|
|
|
{ |
|
125
|
|
|
$resultMatrix = [ |
|
126
|
|
|
$this->a, $this->c, |
|
127
|
|
|
$this->b, $this->d, |
|
128
|
|
|
]; |
|
129
|
|
|
list($this->a, $this->b, $this->c, $this->d) = $resultMatrix; |
|
130
|
|
|
} |
|
131
|
|
|
|
|
132
|
|
|
/** |
|
133
|
|
|
* Convert matrix to array |
|
134
|
|
|
* @return array |
|
135
|
|
|
* @since XXX |
|
136
|
|
|
*/ |
|
137
|
|
|
public function toArray() |
|
138
|
|
|
{ |
|
139
|
|
|
return [ |
|
140
|
|
|
$this->a, $this->b, |
|
141
|
|
|
$this->c, $this->d, |
|
142
|
|
|
]; |
|
143
|
|
|
} |
|
144
|
|
|
} |
pgaultier /
tree
This check marks private properties in classes that are never used. Those properties can be removed.