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<?php |
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namespace TemplesOfCode\NodesAndEdges; |
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use InvalidArgumentException; |
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/** |
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* Class Graph |
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* @package TemplesOfCode\NodesAndEdges |
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*/ |
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abstract class Graph |
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{ |
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/** |
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* @var int |
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*/ |
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protected $vertices; |
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/** |
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* @var int |
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*/ |
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protected $edges; |
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/** |
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* @var array |
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*/ |
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protected $adjacencyList; |
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/** |
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* Initializes an empty edge-weighted graph with {@code V} vertices and 0 edges. |
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* |
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* @param int $vertices |
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* @param array|null $adjacencyList |
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*/ |
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public function __construct(int $vertices, array $adjacencyList = null) |
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{ |
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// |
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if ($vertices < 0) { |
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throw new InvalidArgumentException( |
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'Number of vertices must be non-negative' |
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); |
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} |
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// set |
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$this->vertices = $vertices; |
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// init |
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$this->edges = 0; |
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// get the ne |
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if (!empty($adjacencyList)) { |
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// set it |
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$this->adjacencyList= $adjacencyList; |
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} else { |
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// init |
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$this->adjacencyList = []; |
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// iterate over the set of vertices |
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for ($vertex = 0; $vertex < $vertices; $vertex++) { |
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// initialize each vertex adjacency list |
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$this->adjacencyList[$vertex] = []; |
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} |
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} |
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} |
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/** |
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* Returns the number of vertices in this graph. |
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* |
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* @return int |
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*/ |
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public function getVertices() |
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{ |
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// return the amount |
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return $this->vertices; |
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} |
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/** |
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* Returns the number of edges in this graph. |
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* |
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* @return int |
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*/ |
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public function getEdges() |
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{ |
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// return the number of edges |
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return $this->edges; |
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} |
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/** |
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* Returns the vertices adjacent to $vertex |
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* |
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* @param int $vertex |
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* @return array |
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*/ |
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public function adjacent(int $vertex) |
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{ |
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// validate the vertex |
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Digraph::validateVertex($vertex, $this->getVertices()); |
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// return the adjacent vertices to it |
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return $this->adjacencyList[$vertex]; |
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} |
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/** |
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* @param int $vertex |
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* @return int |
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*/ |
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public function degree(int $vertex) |
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{ |
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// validate the vertex |
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Digraph::validateVertex($vertex, $this->getVertices()); |
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// return the count of neighbors |
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return count($this->adjacent($vertex)); |
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} |
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/** |
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* Utility function |
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* |
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* @param int $vertex |
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* @param int $vertices |
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*/ |
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public static function validateVertex(int $vertex, int $vertices) |
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{ |
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// run the check |
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if ($vertex < 0 || $vertex >= $vertices) { |
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// this vertex is not valid |
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throw new InvalidArgumentException(sprintf( |
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'vertex %d is not between 0 and %d', |
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$vertex, |
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$vertices - 1 |
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)); |
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} |
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} |
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/** |
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* Returns a string representation of this graph. |
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*/ |
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public function __toString() |
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{ |
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$vertices = $this->getVertices(); |
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// init |
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$buffer = []; |
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// add |
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$buffer[] = sprintf( |
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'%d vertices, %d edges', |
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$vertices, |
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$this->getEdges() |
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); |
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// iterate over the vertices |
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for ($vertex = 0; $vertex < $vertices; $vertex++) { |
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// get the adjacent vertices |
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$adjacentVertices = $this->adjacent($vertex); |
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// add |
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$buffer[] = sprintf( |
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'%d : %s', |
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$vertex, |
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implode(' ', $adjacentVertices) |
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); |
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} |
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// convert to string |
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return implode(PHP_EOL, $buffer); |
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} |
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/** |
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* @param string $input |
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* @param int $vertices |
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* @param bool $weight |
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* @return array |
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*/ |
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protected static function parseEdge(string $input,int $vertices, bool $weight = false) |
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{ |
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// clean |
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$trimmed = trim($input); |
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// parse |
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$exploded = explode(' ', $trimmed); |
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// filter |
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$filtered = array_filter($exploded, function($vertex) { |
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// make sure it valid |
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return (!empty($vertex) || (strlen($vertex) > 0)); |
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}); |
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// get values |
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$edge = array_values($filtered); |
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// get v |
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$v = (int)filter_var( |
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$edge[0], |
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FILTER_SANITIZE_NUMBER_INT |
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); |
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// validate it |
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Graph::validateVertex($v, $vertices); |
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// get w |
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$w = (int)filter_var( |
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$edge[1], |
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FILTER_SANITIZE_NUMBER_INT |
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); |
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// validate it |
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Graph::validateVertex($w, $vertices); |
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// create set |
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$set = [ |
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$v, |
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$w, |
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]; |
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// check if weight needs to be added |
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if ($weight) { |
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// get weight |
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$inputWeight = (int)filter_var( |
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$edge[2], |
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FILTER_SANITIZE_NUMBER_INT |
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); |
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// add it to the set |
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$set[] = $inputWeight; |
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} |
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// return set |
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return $set; |
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} |
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/** |
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* @param resource $handle |
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* @return int[] |
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*/ |
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protected static function parseGraphVEFromResource($handle) |
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{ |
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// read from stream |
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$first = fgets($handle); |
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// read from stream |
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$second = fgets($handle); |
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// delegate to string parser |
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return self::parseGraphVEFromString( |
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$first, |
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$second |
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); |
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} |
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/** |
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* @param string $first |
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* @param string $second |
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* @return int[] |
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*/ |
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protected static function parseGraphVEFromString(string $first, string $second) |
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{ |
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// open the stream for reading |
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$vertices = (int)filter_var( |
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$first, |
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FILTER_SANITIZE_NUMBER_INT |
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); |
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// sanity check |
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if ($vertices < 0) { |
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// bad state |
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throw new InvalidArgumentException( |
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'number of vertices in a Graph must be non-negative' |
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); |
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} |
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// read in the amount of edges in the stream |
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$edges = (int)filter_var( |
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$second, |
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FILTER_SANITIZE_NUMBER_INT |
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); |
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// sanity check |
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if ($edges < 0) { |
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// bad state |
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throw new InvalidArgumentException( |
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'number of edges in a Graph must be non-negative' |
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); |
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} |
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// return the set |
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return [ |
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$vertices, |
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$edges |
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]; |
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} |
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/** |
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* @param Graph $graph |
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* @param int $vertices |
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* @param int $edges |
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* @param resource $handle |
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*/ |
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protected static function buildWeightedEdgesFromHandle( |
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Graph $graph, |
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int $vertices, |
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int $edges, |
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$handle |
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) { |
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// read in the edges |
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for ($i = 0; $i < $edges; $i++) { |
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// fet from source |
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$raw = fgets($handle); |
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// parse data |
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list ( |
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$v, |
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$w, |
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$weight |
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) = self::parseEdge($raw, $vertices, true); |
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// re-use var here |
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$edge = new Edge($v, $w, $weight); |
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// add to the graph |
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$graph->addEdge($edge); |
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} |
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} |
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/** |
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* @param Graph $graph |
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* @param int $vertices |
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* @param int $edges |
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* @param array $lines |
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*/ |
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protected static function buildWeightedEdgesFromString( |
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Graph $graph, |
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int $vertices, |
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int $edges, |
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array $lines |
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) { |
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// read in the edges |
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for ($i = 0; $i < $edges; $i++) { |
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// fet from source |
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$raw = $lines[$i]; |
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// parse data |
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list ( |
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$v, |
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$w, |
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$weight |
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) = self::parseEdge($raw, $vertices, true); |
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// re-use var |
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$edge = new Edge($v, $w, $weight); |
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// add to the graph |
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$graph->addEdge($edge); |
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} |
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} |
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} |