|
1
|
|
|
<?php |
|
2
|
|
|
/** |
|
3
|
|
|
* Box packing (3D bin packing, knapsack problem). |
|
4
|
|
|
* |
|
5
|
|
|
* @author Doug Wright |
|
6
|
|
|
*/ |
|
7
|
|
|
declare(strict_types=1); |
|
8
|
|
|
|
|
9
|
|
|
namespace DVDoug\BoxPacker; |
|
10
|
|
|
|
|
11
|
|
|
use function atan; |
|
12
|
|
|
use JsonSerializable; |
|
13
|
|
|
use function min; |
|
14
|
|
|
use function sort; |
|
15
|
|
|
|
|
16
|
|
|
/** |
|
17
|
|
|
* An item to be packed. |
|
18
|
|
|
* |
|
19
|
|
|
* @author Doug Wright |
|
20
|
|
|
*/ |
|
21
|
|
|
class OrientatedItem implements JsonSerializable |
|
22
|
|
|
{ |
|
23
|
|
|
/** |
|
24
|
|
|
* @var Item |
|
25
|
|
|
*/ |
|
26
|
|
|
protected $item; |
|
27
|
|
|
|
|
28
|
|
|
/** |
|
29
|
|
|
* @var int |
|
30
|
|
|
*/ |
|
31
|
|
|
protected $width; |
|
32
|
|
|
|
|
33
|
|
|
/** |
|
34
|
|
|
* @var int |
|
35
|
|
|
*/ |
|
36
|
|
|
protected $length; |
|
37
|
|
|
|
|
38
|
|
|
/** |
|
39
|
|
|
* @var int |
|
40
|
|
|
*/ |
|
41
|
|
|
protected $depth; |
|
42
|
|
|
|
|
43
|
|
|
/** |
|
44
|
|
|
* @var int |
|
45
|
|
|
*/ |
|
46
|
|
|
protected $surfaceFootprint; |
|
47
|
|
|
|
|
48
|
|
|
/** |
|
49
|
|
|
* @var bool[] |
|
50
|
|
|
*/ |
|
51
|
|
|
protected static $stabilityCache = []; |
|
52
|
|
|
|
|
53
|
|
|
/** |
|
54
|
|
|
* @var array |
|
55
|
|
|
*/ |
|
56
|
|
|
protected $dimensionsAsArray; |
|
57
|
|
|
|
|
58
|
|
|
/** |
|
59
|
|
|
* Constructor. |
|
60
|
|
|
*/ |
|
61
|
55 |
|
public function __construct(Item $item, int $width, int $length, int $depth) |
|
62
|
|
|
{ |
|
63
|
55 |
|
$this->item = $item; |
|
64
|
55 |
|
$this->width = $width; |
|
65
|
55 |
|
$this->length = $length; |
|
66
|
55 |
|
$this->depth = $depth; |
|
67
|
55 |
|
$this->surfaceFootprint = $width * $length; |
|
68
|
|
|
|
|
69
|
55 |
|
$this->dimensionsAsArray = [$width, $length, $depth]; |
|
70
|
55 |
|
sort($this->dimensionsAsArray); |
|
71
|
55 |
|
} |
|
72
|
|
|
|
|
73
|
|
|
/** |
|
74
|
|
|
* Item. |
|
75
|
|
|
*/ |
|
76
|
54 |
|
public function getItem(): Item |
|
77
|
|
|
{ |
|
78
|
54 |
|
return $this->item; |
|
79
|
|
|
} |
|
80
|
|
|
|
|
81
|
|
|
/** |
|
82
|
|
|
* Item width in mm in it's packed orientation. |
|
83
|
|
|
*/ |
|
84
|
54 |
|
public function getWidth(): int |
|
85
|
|
|
{ |
|
86
|
54 |
|
return $this->width; |
|
87
|
|
|
} |
|
88
|
|
|
|
|
89
|
|
|
/** |
|
90
|
|
|
* Item length in mm in it's packed orientation. |
|
91
|
|
|
*/ |
|
92
|
54 |
|
public function getLength(): int |
|
93
|
|
|
{ |
|
94
|
54 |
|
return $this->length; |
|
95
|
|
|
} |
|
96
|
|
|
|
|
97
|
|
|
/** |
|
98
|
|
|
* Item depth in mm in it's packed orientation. |
|
99
|
|
|
*/ |
|
100
|
54 |
|
public function getDepth(): int |
|
101
|
|
|
{ |
|
102
|
54 |
|
return $this->depth; |
|
103
|
|
|
} |
|
104
|
|
|
|
|
105
|
|
|
/** |
|
106
|
|
|
* Calculate the surface footprint of the current orientation. |
|
107
|
|
|
*/ |
|
108
|
39 |
|
public function getSurfaceFootprint(): int |
|
109
|
|
|
{ |
|
110
|
39 |
|
return $this->surfaceFootprint; |
|
111
|
|
|
} |
|
112
|
|
|
|
|
113
|
|
|
/** |
|
114
|
|
|
* Is this item stable (low centre of gravity), calculated as if the tipping point is >15 degrees. |
|
115
|
|
|
* |
|
116
|
|
|
* N.B. Assumes equal weight distribution. |
|
117
|
|
|
*/ |
|
118
|
54 |
|
public function isStable(): bool |
|
119
|
|
|
{ |
|
120
|
54 |
|
$cacheKey = $this->width . '|' . $this->length . '|' . $this->depth; |
|
121
|
|
|
|
|
122
|
54 |
|
return static::$stabilityCache[$cacheKey] ?? (static::$stabilityCache[$cacheKey] = atan(min($this->length, $this->width) / ($this->depth ?: 1)) > 0.261); |
|
123
|
|
|
} |
|
124
|
|
|
|
|
125
|
|
|
/** |
|
126
|
|
|
* Is the supplied item the same size as this one? |
|
127
|
|
|
* |
|
128
|
|
|
* @internal |
|
129
|
|
|
*/ |
|
130
|
52 |
|
public function isSameDimensions(Item $item): bool |
|
131
|
|
|
{ |
|
132
|
52 |
|
if ($item === $this->item) { |
|
133
|
35 |
|
return true; |
|
134
|
|
|
} |
|
135
|
|
|
|
|
136
|
29 |
|
$itemDimensions = [$item->getWidth(), $item->getLength(), $item->getDepth()]; |
|
137
|
29 |
|
sort($itemDimensions); |
|
138
|
|
|
|
|
139
|
29 |
|
return $this->dimensionsAsArray === $itemDimensions; |
|
140
|
|
|
} |
|
141
|
|
|
|
|
142
|
|
|
/** |
|
143
|
|
|
* {@inheritdoc} |
|
144
|
|
|
*/ |
|
145
|
1 |
|
public function jsonSerialize() |
|
146
|
|
|
{ |
|
147
|
|
|
return [ |
|
148
|
1 |
|
'item' => $this->item, |
|
149
|
1 |
|
'width' => $this->width, |
|
150
|
1 |
|
'length' => $this->length, |
|
151
|
1 |
|
'depth' => $this->depth, |
|
152
|
|
|
]; |
|
153
|
|
|
} |
|
154
|
|
|
|
|
155
|
1 |
|
public function __toString(): string |
|
156
|
|
|
{ |
|
157
|
1 |
|
return $this->width . '|' . $this->length . '|' . $this->depth; |
|
158
|
|
|
} |
|
159
|
|
|
} |
|
160
|
|
|
|
dvdoug /
BoxPacker
