1 | <?php |
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46 | final class PriorityQueue implements \IteratorAggregate, Collection |
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47 | { |
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48 | use Traits\Collection; |
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49 | use Traits\SquaredCapacity; |
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50 | |||
51 | /** |
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52 | * @var int |
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53 | */ |
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54 | const MIN_CAPACITY = 8; |
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55 | |||
56 | /** |
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57 | * @var array |
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58 | */ |
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59 | private $heap; |
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60 | |||
61 | /** |
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62 | * @var int |
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63 | */ |
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64 | private $stamp; |
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65 | |||
66 | /** |
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67 | * Initializes a new priority queue. |
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68 | */ |
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69 | public function __construct() |
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70 | { |
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71 | $this->reset(); |
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72 | } |
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73 | |||
74 | /** |
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75 | * @inheritDoc |
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76 | */ |
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77 | public function clear() |
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78 | { |
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79 | $this->reset(); |
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80 | } |
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81 | |||
82 | /** |
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83 | * Reset the PriorityQueue to an initialised state. |
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84 | */ |
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85 | private reset() |
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86 | { |
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87 | $this->heap = []; |
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88 | $this->stamp = 0; |
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89 | $this->capacity = self::MIN_CAPACITY; |
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90 | } |
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91 | |||
92 | /** |
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93 | * @inheritDoc |
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94 | */ |
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95 | public function copy() |
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96 | { |
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97 | $copy = new PriorityQueue(); |
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98 | |||
99 | $copy->heap = $this->heap; |
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100 | $copy->capacity = $this->capacity; |
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101 | |||
102 | return $copy; |
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103 | } |
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104 | |||
105 | /** |
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106 | * @inheritDoc |
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107 | */ |
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108 | public function count(): int |
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109 | { |
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110 | return count($this->heap); |
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111 | } |
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112 | |||
113 | /** |
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114 | * Returns the value with the highest priority in the priority queue. |
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115 | * |
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116 | * @return mixed |
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117 | * |
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118 | * @throw UnderflowException |
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119 | */ |
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120 | public function peek() |
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121 | { |
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122 | if ($this->isEmpty()) { |
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123 | throw new UnderflowException(); |
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124 | } |
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125 | |||
126 | return $this->heap[0]->value; |
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127 | } |
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128 | |||
129 | /** |
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130 | * Left |
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131 | * |
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132 | * @param int $index |
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133 | * |
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134 | * @return int |
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135 | */ |
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136 | private function left(int $index): int |
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137 | { |
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138 | return ($index * 2) + 1; |
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139 | } |
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140 | |||
141 | /** |
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142 | * Right |
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143 | * |
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144 | * @param int $index |
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145 | * |
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146 | * @return int |
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147 | */ |
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148 | private function right(int $index): int |
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149 | { |
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150 | return ($index * 2) + 2; |
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151 | } |
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152 | |||
153 | /** |
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154 | * Parent |
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155 | * |
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156 | * @param int $index |
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157 | * |
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158 | * @return int |
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159 | */ |
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160 | private function parent(int $index): int |
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161 | { |
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162 | return ($index - 1) / 2; |
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163 | } |
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164 | |||
165 | /** |
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166 | * Compare |
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167 | * |
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168 | * @param int $a |
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169 | * @param int $b |
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170 | * |
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171 | * @return integer |
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172 | */ |
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173 | private function compare(int $a, int $b) |
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174 | { |
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175 | $x = $this->heap[$a]; |
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176 | $y = $this->heap[$b]; |
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177 | |||
178 | // Compare priority, using insertion stamp as fallback. |
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179 | return ($x->priority <=> $y->priority) ?: ($y->stamp <=> $x->stamp); |
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180 | } |
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181 | |||
182 | /** |
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183 | * Swap |
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184 | * |
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185 | * @param int $a |
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186 | * @param int $b |
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187 | */ |
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188 | private function swap(int $a, int $b) |
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189 | { |
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190 | $temp = $this->heap[$a]; |
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191 | $this->heap[$a] = $this->heap[$b]; |
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192 | $this->heap[$b] = $temp; |
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193 | } |
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194 | |||
195 | /** |
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196 | * Get Largest Leaf |
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197 | * |
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198 | * @param int $parent |
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199 | * |
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200 | * @return int |
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201 | */ |
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202 | private function getLargestLeaf(int $parent) |
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203 | { |
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204 | $left = $this->left($parent); |
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205 | $right = $left + 1; |
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206 | |||
207 | if ($right < count($this->heap) && $this->compare($left, $right) < 0) { |
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208 | return $right; |
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209 | } |
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210 | |||
211 | return $left; |
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212 | } |
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213 | |||
214 | /** |
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215 | * Sift Down |
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216 | * |
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217 | * @param int $node |
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218 | */ |
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219 | private function siftDown(int $node) |
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220 | { |
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221 | $last = floor(count($this->heap) / 2); |
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222 | |||
223 | for ($parent = $node; $parent < $last; $parent = $leaf) { |
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224 | |||
225 | // Determine the largest leaf to potentially swap with the parent. |
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226 | $leaf = $this->getLargestLeaf($parent); |
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227 | |||
228 | // Done if the parent is not greater than its largest leaf |
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229 | if ($this->compare($parent, $leaf) > 0) { |
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230 | break; |
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231 | } |
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232 | |||
233 | $this->swap($parent, $leaf); |
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234 | } |
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235 | } |
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236 | |||
237 | /** |
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238 | * Set Root |
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239 | * |
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240 | * @param PriorityNode $node |
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241 | */ |
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242 | private function setRoot(PriorityNode $node) |
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243 | { |
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244 | $this->heap[0] = $node; |
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245 | } |
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246 | |||
247 | /** |
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248 | * Get Root |
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249 | * |
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250 | * @return PriorityNode |
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251 | */ |
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252 | private function getRoot(): PriorityNode |
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253 | { |
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254 | return $this->heap[0]; |
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255 | } |
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256 | |||
257 | /** |
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258 | * Returns and removes the value with the highest priority in the queue. |
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259 | * |
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260 | * @return mixed |
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261 | */ |
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262 | public function pop() |
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263 | { |
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264 | if ($this->isEmpty()) { |
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265 | throw new UnderflowException(); |
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266 | } |
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267 | |||
268 | // Last leaf of the heap to become the new root. |
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269 | $leaf = array_pop($this->heap); |
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270 | |||
271 | if (empty($this->heap)) { |
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272 | return $leaf->value; |
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273 | } |
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274 | |||
275 | // Cache the current root value to return before replacing with next. |
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276 | $value = $this->getRoot()->value; |
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277 | |||
278 | // Replace the root, then sift down. |
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279 | $this->setRoot($leaf); |
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280 | $this->siftDown(0); |
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281 | $this->adjustCapacity(); |
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282 | |||
283 | return $value; |
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284 | } |
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285 | |||
286 | /** |
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287 | * Sift Up |
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288 | * |
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289 | * @param int $leaf |
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290 | */ |
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291 | private function siftUp(int $leaf) |
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292 | { |
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293 | for (; $leaf > 0; $leaf = $parent) { |
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294 | $parent = $this->parent($leaf); |
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295 | |||
296 | // Done when parent priority is greater. |
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297 | if ($this->compare($leaf, $parent) < 0) { |
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298 | break; |
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299 | } |
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300 | |||
301 | $this->swap($parent, $leaf); |
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302 | } |
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303 | } |
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304 | |||
305 | /** |
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306 | * Pushes a value into the queue, with a specified priority. |
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307 | * |
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308 | * @param mixed $value |
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309 | * @param int $priority |
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310 | */ |
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311 | public function push($value, int $priority) |
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312 | { |
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313 | $this->adjustCapacity(); |
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314 | |||
315 | // Add new leaf, then sift up to maintain heap, |
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316 | $this->heap[] = new PriorityNode($value, $priority, $this->stamp++); |
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317 | $this->siftUp(count($this->heap) - 1); |
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318 | } |
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319 | |||
320 | /** |
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321 | * @inheritDoc |
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322 | */ |
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323 | public function toArray(): array |
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324 | { |
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325 | $heap = $this->heap; |
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326 | $array = []; |
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327 | |||
328 | while ( ! $this->isEmpty()) { |
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329 | $array[] = $this->pop(); |
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330 | } |
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331 | |||
332 | $this->heap = $heap; |
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333 | return $array; |
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334 | } |
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335 | |||
336 | /** |
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337 | * Get iterator |
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338 | */ |
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339 | public function getIterator() |
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346 |
Having each class in a dedicated file usually plays nice with PSR autoloaders and is therefore a well established practice. If you use other autoloaders, you might not want to follow this rule.