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