本文实例讲述了php实现映射操作。分享给大家供大家参考,具体如下:
映射
映射,或者射影,在数学及相关的领域经常等同于函数。基于此,部分映射就相当于部分函数,而完全映射相当于完全函数。
映射(Map)是用于存取键值对的数据结构(key,value),一个键只能对应一个值且键不能重复。
实现
映射的实现方式可以使用链表或二叉树实现。
链表实现:
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<?php /** * 接口 字典 * Interface Dict * @package app\models */ Interface Dict { public function set( $key , $value ); public function get( $key ); public function isExist( $key ); public function delete ( $key ); public function getSize(); } class DictLinkList implements Dict { protected $size =0; public $key ; public $value ; public $next ; public function __construct( $key =null, $value =null, $next =null) { $this ->key = $key ; $this ->value = $value ; $this ->next = $next ; } public function set( $key , $value ){ $node = $this ; while ( $node && $node ->next ){ if ( $node ->next->key== $key ){ $node ->next->value = $value ; return $node ->next; } $node = $node ->next; } $node ->next = new self( $key , $value , $node ->next); $this ->size++; return $node ->next; } public function get( $key ){ $node = $this ; while ( $node ){ if ( $node ->key == $key ){ return $node ->value; } $node = $node ->next; } throw new \Exception( 'cannot found key' ); } public function isExist( $key ) { $node = $this ; while ( $node ){ if ( $node ->key == $key ){ return true; } $node = $node ->next; } return false; } public function delete ( $key ) { if ( $this ->size==0) throw new \Exception( 'key is not exist' ); $node = $this ; while ( $node ->next){ if ( $node ->next->key == $key ){ $node ->next = $node ->next->next; $this ->size--; break ; } $node = $node ->next; } return $this ; } public function getSize() { return $this ->size; } } |
测试:
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<?php $dict = new DictLinkList(); $dict ->set( 'sun' ,111); //O(n) $dict ->set( 'sun' ,222); $dict ->set( 'w' ,111); $dict ->set( 'k' ,111); var_dump( $dict ->get( 'w' )); //O(n) var_dump( $dict ->isExist( 'v' )); //O(n) var_dump( $dict -> delete ( 'sun' )); //O(n) var_dump( $dict ->getSize()); /******************************************/ //111 //false //true //2 |
二叉树实现
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<?php class DictBtree implements Dict { public $key ; public $value ; public $left ; public $right ; private $size ; public function __construct( $key =null, $value =null) { $this ->key = $key ; $this ->value = $value ; $this ->left = null; $this ->right = null; $this ->size = 0; } public function set( $key , $value ){ if ( $this ->size ==0 ){ $node = new static ( $key , $value ); $this ->key = $node ->key; $this ->value = $node ->value; $this ->size++; } else { $node = $this ; while ( $node ){ if ( $node ->key == $key ){ $node ->value = $value ; break ; } if ( $node ->key> $key ){ if ( $node ->left==null){ $node ->left = new static ( $key , $value ); $this ->size++; break ; } $node = $node ->left; } else { if ( $node ->right==null){ $node ->right = new static ( $key , $value ); $this ->size++; break ; } $node = $node ->right; } } } return $this ; } public function get( $key ){ if ( $this ->size ==0 ) throw new \Exception( 'empty' ); $node = $this ; while ( $node ) { if ( $node ->key == $key ) { return $node ->value; } if ( $node ->key > $key ) { $node = $node ->left; } else { $node = $node ->right; } } throw new \Exception( 'this key not exist' ); } public function isExist( $key ){ if ( $this ->size ==0 ) return false; $node = $this ; while ( $node ) { if ( $node ->key == $key ) { return true; } if ( $node ->key > $key ) { $node = $node ->left; } else { $node = $node ->right; } } return false; } public function delete ( $key ){ //找到元素,寻找元素左边最小元素 $node = $this ->select( $key ); if ( $node ->right!=null ){ $node1 = $node ->selectMin( $node ->right); //替换当前node $node ->key = $node1 ->key; $node ->value = $node1 ->value; //删除$node->right最小元素,获取最终元素赋给$node->right $nodeMin = $this ->deleteMin( $node ->right); $node ->right = $nodeMin ; } else { $node1 = $node ->selectMax( $node ->left); $node ->key = $node1 ->key; $node ->value = $node1 ->value; $nodeMax = $this ->deleteMax( $node ->left); $node ->left = $nodeMax ; } return $this ; } protected function deleteMin( $node ){ // if( $this->size ==0 ) // throw new \Exception('empty'); // $prev = new static(); // $prev->left = $node; // while($prev->left->left!=null){ // // $prev = $prev->left; // } // $prev->left = $prev->left->right; if ( $node ->left==null ){ $rightNode = $node ->right; $node ->right = null; $this ->size--; return $rightNode ; } $node ->left = $this ->deleteMin( $node ->left); return $node ; } protected function deleteMax( $node ){ if ( $node ->right==null ){ $leftNode = $node ->left; $node ->left = null; $this ->size--; return $leftNode ; } $node ->right = $this ->deleteMax( $node ->right); return $node ; } public function getSize(){ return $this ->size; } public function select( $key ){ $node = $this ; while ( $node ){ if ( $node ->key== $key ){ return $node ; } if ( $node ->key > $key ) { $node = $node ->left; } else { $node = $node ->right; } } throw new \Exception( 'this key not exist' ); } public function selectMin( $node ){ while ( $node ->left){ $node = $node ->left; } return $node ; } public function selectMax( $node ){ while ( $node ->right){ $node = $node ->right; } return $node ; } } |
复杂度分析
链表 O(n)
二分搜索树 O(log n)
希望本文所述对大家PHP程序设计有所帮助。
原文链接:https://www.cnblogs.com/followyou/p/11388922.html