PHPで無限分類木を実装する方法

$arr = array(
  array("id" => 1 , "pid" => 0 , 'cat' => '栏目一'),
  array("id" => 2 , "pid" => 0 , 'cat' => '栏目二'),
  array("id" => 3 , "pid" => 1 , 'cat' => '栏目三'),
  array("id" => 4 , "pid" => 2 , 'cat' => '栏目四'),
  array("id" => 5 , "pid" => 1 , 'cat' => '栏目五'),
  array("id" => 6 , "pid" => 5 , 'cat' => '栏目六'),
  array("id" => 7 , "pid" => 5 , 'cat' => '栏目七'),
  array("id" => 8 , "pid" => 6 , 'cat' => '栏目八'),
  array("id" => 9 , "pid" => 1 , 'cat' => '栏目九'),
  array("id" => 10 , "pid" => 0 , 'cat' => '栏目十'),
  array("id" => 11 , "pid" => 10 , 'cat' => '栏目十一'),
  array("id" => 12 , "pid" => 11 , 'cat' => '栏目十二'),
  array("id" => 13 , "pid" => 2 , 'cat' => '栏目十三'),
  array("id" => 14, "pid" => 13 , 'cat' => '栏目十四')
);

//生成无限极分类树
function make_tree($arr){
  $refer = array();
  $tree = array();
  foreach($arr as $k => $v){
    $refer[$v['id']] = & $arr[$k]; //创建主键的数组引用
  }
  foreach($arr as $k => $v){
    $pid = $v['pid'];  //获取当前分类的父级id
    if($pid == 0){
      $tree[] = & $arr[$k];  //顶级栏目
    }else{
      if(isset($refer[$pid])){
        $refer[$pid]['subcat'][] = & $arr[$k]; //如果存在父级栏目，则添加进父级栏目的子栏目数组中
      }
    }
  }
  return $tree;
}

$cat = make_tree($arr);
print_r($cat);