Detailed explanation of four basic PHP algorithms
This article mainly shares with you the detailed explanation of four basic PHP algorithms. Randomly select 100 numbers from 1 to 1000, and use bubble sort, quick sort, selection sort, and insertion sort to combine the values in the array below. Sort in order from smallest to smallest.
Solution:
0. Randomly pick 100 numbers from 1 to 1000 and store them in the array.
$arr = array(); //生成100个元素的数组 for ($i=0; $i < 100; $i++) { $a = rand(1,1000); array_push($arr, $a); }
1. Bubble sorting method
* Idea analysis: The method is as its name suggests, just like bubbling, the largest number emerges from the array each time.
* For example: 2,4,1 // The first bubble is 4
* 2,1,4 // The second bubble is 2
function bubble_sort(&$arr) { $len=count($arr); //设置一个空数组 用来接收冒出来的泡 //该层循环控制 需要冒泡的轮数 for($i=1;$i<$len;$i++) { //该层循环用来控制每轮 冒出一个数 需要比较的次数 for($k=0;$k<$len-$i;$k++) { if($arr[$k]>$arr[$k+1]) { $tmp=$arr[$k+1]; $arr[$k+1]=$arr[$k]; $arr[$k]=$tmp; } } } return $arr; }
2. Selection sorting method:
Selection sorting method idea: Select a corresponding element each time and then place it in the specified position.
function select_sort(&$arr) { //实现思路 双重循环完成,外层控制轮数,当前的最小值。内层 控制的比较次数 //$i 当前最小值的位置, 需要参与比较的元素 for($i=0, $len=count($arr); $i<$len-1; $i++) { //先假设最小的值的位置 $p = $i; //$j 当前都需要和哪些元素比较,$i 后边的。 for($j=$i+1; $j<$len; $j++) { //$arr[$p] 是 当前已知的最小值 if($arr[$p] > $arr[$j]) { //比较,发现更小的,记录下最小值的位置;并且在下次比较时, // 应该采用已知的最小值进行比较。 $p = $j; } } //已经确定了当前的最小值的位置,保存到$p中。 //如果发现 最小值的位置与当前假设的位置$i不同,则位置互换即可 if($p != $i) { $tmp = $arr[$p]; $arr[$p] = $arr[$i]; $arr[$i] = $tmp; } } //返回最终结果 return $arr; }
3. Insertion sort method
Insertion sort method idea: Insert the elements to be sorted into the specified position of the array where the sort number has been assumed.
function insert_sort(&$arr) { //区分 哪部分是已经排序好的 //哪部分是没有排序的 //找到其中一个需要排序的元素 //这个元素 就是从第二个元素开始,到最后一个元素都是这个需要排序的元素 //利用循环就可以标志出来 //i循环控制 每次需要插入的元素,一旦需要插入的元素控制好了, //间接已经将数组分成了2部分,下标小于当前的(左边的),是排序好的序列 for($i=1, $len=count($arr); $i<$len; $i++) { //获得当前需要比较的元素值。 $tmp = $arr[$i]; //内层循环控制 比较 并 插入 for($j=$i-1;$j>=0;$j--) { //$arr[$i];//需要插入的元素; $arr[$j];//需要比较的元素 if($tmp < $arr[$j]) { //发现插入的元素要小,交换位置 //将后边的元素与前面的元素互换 $arr[$j+1] = $arr[$j]; //将前面的数设置为 当前需要交换的数 $arr[$j] = $tmp; } else { //如果碰到不需要移动的元素 //由于是已经排序好是数组,则前面的就不需要再次比较了。 break; } } } //将这个元素 插入到已经排序好的序列内。 //返回 return $arr; }
4. Quick sorting method
function quick_sort(&$arr) { //先判断是否需要继续进行 $length = count($arr); if($length <= 1) { return $arr; } //如果没有返回,说明数组内的元素个数 多于1个,需要排序 //选择一个标尺 //选择第一个元素 $base_num = $arr[0]; //遍历 除了标尺外的所有元素,按照大小关系放入两个数组内 //初始化两个数组 $left_array = array();//小于标尺的 $right_array = array();//大于标尺的 for($i=1; $i<$length; $i++) { if($base_num > $arr[$i]) { //放入左边数组 $left_array[] = $arr[$i]; } else { //放入右边 $right_array[] = $arr[$i]; } } //再分别对 左边 和 右边的数组进行相同的排序处理方式 //递归调用这个函数,并记录结果 $left_array = quick_sort($left_array); $right_array = quick_sort($right_array); //合并左边 标尺 右边 return array_merge($left_array, array($base_num), $right_array); }
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