Posted in PHP onJune 25, 2013
在节点之间再应用一些排序逻辑,二叉树就能提供出色的组织方式。对于每个节点,都让满足所有特定条件的元素都位于左节点及其子节点。在插入新元素时,我们需要从树的第一个节 点(根节点)开始,判断它属于哪一侧的节点,然后沿着这一侧找到恰当的位置,类似地,在读取数据时,只需要使用按序遍历方法来遍历二叉树。
<?php ob_start(); // Here we need to include the binary tree class Class Binary_Tree_Node() { // You can find the details at } ob_end_clean(); // Define a class to implement self sorting binary tree class Sorting_Tree { // Define the variable to hold our tree: public $tree; // We need a method that will allow for inserts that automatically place // themselves in the proper order in the tree public function insert($val) { // Handle the first case: if (!(isset($this->tree))) { $this->tree = new Binary_Tree_Node($val); } else { // In all other cases: // Start a pointer that looks at the current tree top: $pointer = $this->tree; // Iteratively search the tree for the right place: for(;;) { // If this value is less than, or equal to the current data: if ($val <= $pointer->data) { // We are looking to the left ... If the child exists: if ($pointer->left) { // Traverse deeper: $pointer = $pointer->left; } else { // Found the new spot: insert the new element here: $pointer->left = new Binary_Tree_Node($val); break; } } else { // We are looking to the right ... If the child exists: if ($pointer->right) { // Traverse deeper: $pointer = $pointer->right; } else { // Found the new spot: insert the new element here: $pointer->right = new Binary_Tree_Node($val); break; } } } } } // Now create a method to return the sorted values of this tree. // All it entails is using the in-order traversal, which will now // give us the proper sorted order. public function returnSorted() { return $this->tree->traverseInorder(); } } // Declare a new sorting tree: $sort_as_you_go = new Sorting_Tree(); // Let's randomly create 20 numbers, inserting them as we go: for ($i = 0; $i < 20; $i++) { $sort_as_you_go->insert(rand(1,100)); } // Now echo the tree out, using in-order traversal, and it will be sorted: // Example: 1, 2, 11, 18, 22, 26, 32, 32, 34, 43, 46, 47, 47, 53, 60, 71, // 75, 84, 86, 90 echo '<p>', implode(', ', $sort_as_you_go->returnSorted()), '</p>'; ?>
PHP Class&Object -- PHP 自排序二叉树的深入解析
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