1
|
|
|
<?php |
2
|
|
|
namespace Algorithms; |
3
|
|
|
|
4
|
|
|
class Dijkstra |
5
|
|
|
{ |
6
|
|
|
protected $points; |
7
|
|
|
protected $relations; |
8
|
|
|
protected $generated = null; |
9
|
|
|
|
10
|
|
|
public function __construct($relations = null) |
11
|
|
|
{ |
12
|
|
|
if (!empty($relations)) { |
13
|
|
|
$this->setRelations($relations); |
14
|
|
|
} |
15
|
|
|
} |
16
|
|
|
|
17
|
|
|
public function setRelations($relations) |
18
|
|
|
{ |
19
|
|
|
if (self::validate($relations)) { |
20
|
|
|
$this->relations = $relations; |
21
|
|
|
} else { |
22
|
|
|
if (is_callable($relations) && ($relations instanceof \Closure)) { |
23
|
|
|
$creator = new GraphTools\Creator; |
24
|
|
|
call_user_func($relations, $creator); |
25
|
|
|
|
26
|
|
|
$this->relations = $creator->createConnections(); |
27
|
|
|
} |
28
|
|
|
} |
29
|
|
|
} |
30
|
|
|
|
31
|
|
|
public function generate() |
32
|
|
|
{ |
33
|
|
|
return $this->generated(function () { |
34
|
|
|
$results = []; # Prepare results array |
35
|
|
|
|
36
|
|
|
# Analyze all relations |
37
|
|
|
foreach ($this->relations as $point => $relation) { |
38
|
|
|
# Prepare $points array by isset source point |
39
|
|
|
$this->points = [ |
40
|
|
|
$point => [ |
41
|
|
|
0, |
42
|
|
|
'', |
43
|
|
|
], |
44
|
|
|
]; |
45
|
|
|
|
46
|
|
|
$this->dist($point, $point); |
47
|
|
|
$results[$point] = $this->points; # Copy $points content to results array |
48
|
|
|
} |
49
|
|
|
|
50
|
|
|
return $results; |
51
|
|
|
}); |
52
|
|
|
} |
53
|
|
|
|
54
|
|
|
private function generated($function) |
55
|
|
|
{ |
56
|
|
|
if (empty($this->generated)) { |
57
|
|
|
$this->generated = $function(); |
58
|
|
|
} |
59
|
|
|
|
60
|
|
|
return $this->generated; |
61
|
|
|
} |
62
|
|
|
|
63
|
|
|
private function dist($source, $pointId, &$visited = []) |
64
|
|
|
{ |
65
|
|
|
$visited[$pointId] = true; # Set current point as visited |
66
|
|
|
|
67
|
|
|
# Prepare help variables |
68
|
|
|
$min_ptr = -1; |
69
|
|
|
$min = 0; |
70
|
|
|
|
71
|
|
|
# Analyzes point neighborhood |
72
|
|
|
foreach ($this->relations[$pointId] as $relation) { |
73
|
|
|
if ($relation[0] != $source) { # If current point is different than source |
74
|
|
|
list($min_ptr, $min) = $this->setMinPtr($relation, $visited, $min_ptr, $min); |
75
|
|
|
|
76
|
|
|
# Change the shortest way to current point |
77
|
|
|
$distance = $this->getShortestDistance($pointId); |
78
|
|
|
|
79
|
|
|
$this->updatePoint($pointId, $relation, $distance); |
80
|
|
|
} |
81
|
|
|
} |
82
|
|
|
|
83
|
|
|
# If isset unvisited point with minimal way go for it |
84
|
|
|
if ($min_ptr != -1) { |
85
|
|
|
$this->dist($source, $min_ptr, $visited); |
86
|
|
|
} |
87
|
|
|
} |
88
|
|
|
|
89
|
|
|
private function getShortestDistance($pointId) |
90
|
|
|
{ |
91
|
|
|
return isset($this->points[$pointId][0]) ? $this->points[$pointId][0] : 0; |
92
|
|
|
} |
93
|
|
|
|
94
|
|
|
private function setMinPtr($relation, $visited, $min_ptr, $min) |
95
|
|
|
{ |
96
|
|
|
if (empty($visited[$relation[0]])) { # If current point is not visited |
97
|
|
|
if ($min_ptr == -1) { # When minimal point is not finded |
98
|
|
|
$min_ptr = $relation[0]; |
99
|
|
|
$min = $relation[1]; |
100
|
|
|
} elseif ($min > $relation[1]) { |
101
|
|
|
$min_ptr = $relation[0]; |
102
|
|
|
$min = $relation[1]; |
103
|
|
|
} |
104
|
|
|
} |
105
|
|
|
|
106
|
|
|
return array($min_ptr, $min); |
107
|
|
|
} |
108
|
|
|
|
109
|
|
|
private function updatePoint($pointId, $relation, $distance) |
110
|
|
|
{ |
111
|
|
|
if (empty($this->points[$relation[0]])) { |
112
|
|
|
$this->points[$relation[0]] = [ |
113
|
|
|
$distance + $relation[1], |
114
|
|
|
((empty($this->points[$pointId][1])) ? $pointId : $this->points[$pointId][1]) . ':' . $relation[0], |
115
|
|
|
]; |
116
|
|
|
} else { |
117
|
|
|
if ($this->points[$relation[0]][0] > ($this->points[$pointId][0] + $relation[1])) { |
118
|
|
|
$this->points[$relation[0]] = [ |
119
|
|
|
(isset($this->points[$pointId][0]) ? $this->points[$pointId][0] : 0) + $relation[1], |
120
|
|
|
(empty($this->points[$pointId][1]) ? null : $this->points[$pointId][1] . ':') . $relation[0], |
121
|
|
|
]; |
122
|
|
|
} |
123
|
|
|
} |
124
|
|
|
} |
125
|
|
|
|
126
|
|
|
public function distances($point) |
127
|
|
|
{ |
128
|
|
|
$this->dist($point, $point); |
129
|
|
|
return $this->points; |
130
|
|
|
} |
131
|
|
|
|
132
|
|
|
public static function validate($relations_array) |
133
|
|
|
{ |
134
|
|
|
$return = is_array($relations_array); |
135
|
|
|
|
136
|
|
|
if ($return) { |
137
|
|
|
foreach ($relations_array as $relations) { |
138
|
|
|
$return &= self::checkPointRelations($relations); |
139
|
|
|
} |
140
|
|
|
} |
141
|
|
|
|
142
|
|
|
return $return; |
143
|
|
|
} |
144
|
|
|
|
145
|
|
|
private static function checkPointRelations($relations) |
146
|
|
|
{ |
147
|
|
|
$return = is_array($relations); |
148
|
|
|
|
149
|
|
|
if ($return) { |
150
|
|
|
foreach ($relations as $relation) { |
151
|
|
|
$return &= self::checkSingleRelation($relation); |
152
|
|
|
} |
153
|
|
|
} |
154
|
|
|
|
155
|
|
|
return $return; |
156
|
|
|
} |
157
|
|
|
|
158
|
|
|
private static function checkSingleRelation($relation) |
159
|
|
|
{ |
160
|
|
|
return (is_array($relation) && (count($relation) == 2) && isset($relation[0]) && isset($relation[1])); |
161
|
|
|
} |
162
|
|
|
} |
163
|
|
|
|