php 常用算法和时间复杂度_php技巧

按数量级递增排列，常见的时间复杂度有：常数阶O(1),对数阶O(log2n),线性阶O(n),线性对数阶O(nlog2n),平方阶O(n2)，立方阶O(n3)

//二分查找O(log2n)
function erfen($a,$l,$h,$f){
if($l >$h){ return false;}
$m = intval(($l+$h)/2);
if ($a[$m] == $f){
return $m;
}elseif ($f return erfen($a, $l, $m-1, $f);
}else{
return erfen($a, $m+1, $h, $f);
}

}
$a = array(1,12,23,67,88,100);
var_dump(erfen($a,0,5,1));
//遍历树O(log2n)
function bianli($p){
$a = array();
foreach (glob($p.'/*') as $f){
if(is_dir($f)){
$a = array_merge($a,bianli($f));
}else{
$a[] = $f;
}
}
return $a;
}
//阶乘O(log2n)
function jc($n){
if($n return 1;
}else{
return $n*jc($n-1);
}
}
//快速查找 O(n *log2(n))
function kuaisu($a){
$c = count($a);
if($c $l = $r = array();
for ($i=1;$i if($a[$i] $l[] = $a[$i];
}else{
$r[] = $a[$i];
}
}
$l = kuaisu($l);
$r = kuaisu($r);
return array_merge($l,array($a[0]),$r);
}
//插入排序 O(N*N)
function charu($a){
$c = count($a);
for($i=1;$i $t = $a[$i];
for($j=$i;$j>0 && $a[$j-1]>$t;$j--){
$a[$j] = $a[$j-1];
}
$a[$j] = $t;
}
return $a;
}
//选择排序O(N*N)
function xuanze($a){
$c = count($a);
for($i=0;$i for ($j=$i+1;$j if($a[$i]>$a[$j]){
$t = $a[$j];
$a[$j] = $a[$i];
$a[$i] = $t;
}
}
}
return $a;
}
//冒泡排序 O(N*N)
function maopao($a){
$c = count($a);
for($i=0;$i for ($j=$c-1;$j>$i;$j--){
if($a[$j] $t = $a[$j-1];
$a[$j-1] = $a[$j];
$a[$j] = $t;
}
}
}
return $a;
}

/**
* 排列组合
* 采用二进制方法进行组合的选择，如表示5选3时，只需有3位为1就可以了，所以可得到的组合是 01101 11100 00111 10011 01110等10种组合
*
* @param 需要排列的数组 $arr
* @param 最小个数 $min_size
* @return 满足条件的新数组组合
*/
function plzh($arr,$size=5) {
$len = count($arr);
$max = pow(2,$len);
$min = pow(2,$size)-1;
$r_arr = array();
for ($i=$min; $i $count = 0;
$t_arr = array();
for ($j=0; $j $a = pow(2, $j);
$t = $i&$a;
if($t == $a){
$t_arr[] = $arr[$j];
$count++;
}
}
if($count == $size){
$r_arr[] = $t_arr;
}
}
return $r_arr;
}

$pl = pl(array(1,2,3,4,5,6,7),5);
var_dump($pl);