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DivideConquerSort.php
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198 lines (180 loc) · 4.15 KB
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<?php
function pre($arr)
{
$data = func_get_args();
foreach($data as $key=>$val)
{
echo '<pre>';
print_r($val);
echo '</pre>';
}
}
function prend()
{
$data = func_get_args();
foreach($data as $key=>$val)
{
echo '<pre>';
print_r($val);
echo '</pre>';
}
exit();
}
/**
* 分治归并排序
* 基本思想是 先将数组分成一个个不能在分的集合,然后在按顺序合并各个集合
* 时间复杂度 = O(nlogn)
* @author yumancang
*
*/
class DivideConquerSort
{
/**
* 整数数组
* @var array
*/
public $data = [];
public function __construct($array)
{
$this->data = $array;
}
/**
* 升序分开
*
* @param int $start
* @param int $end
*/
public function ascSort(int $start,int $end)
{
if ($start < $end) {
$mid = floor(($start+$end)/2);
$this->ascSort($start, $mid);
$this->ascSort($mid+1, $end);
$this->ascMerge($start,$mid,$end);
}
}
/**
* 升序合并
*
* @param int $start
* @param int $end
*/
public function ascMerge(int $start, int $mid, int $end)
{
$i = $start;
$j = $mid+1;
$temp = [];
while (true) {
if ($i > $mid) break;
if ($j > $end) break;
if ($this->data[$i] < $this->data[$j]) {
$temp[] = $this->data[$i];
$i++;
}
if ($this->data[$i] > $this->data[$j]) {
$temp[] = $this->data[$j];
$j++;
}
}
if ($i < $mid+1) {
while ($i < $mid+1) {
$temp[] = $this->data[$i];
$i++;
}
}
if ($j < $end+1) {
while ($j < $end+1) {
$temp[] = $this->data[$j];
$j++;
}
}
$m = 0;
for ($k = $start; $k <=$end; $k++) {
$this->data[$k] = $temp[$m++];
}
}
/**
* 升序分治
*
*/
public function ascDivideConquerSort()
{
pre($this->data);
$this->ascSort(0,count($this->data) - 1);
pre($this->data);
}
/**
* 降序分治
*
*/
public function descDivideConquerSort()
{
pre($this->data);
$this->descSort(0,count($this->data) - 1);
pre($this->data);
}
/**
* 降序分开
*
* @param int $start
* @param int $end
*/
public function descSort(int $start,int $end)
{
if ($start < $end) {
$mid = floor(($start+$end)/2);
$this->descSort($start, $mid);
$this->descSort($mid+1, $end);
$this->descMerge($start,$mid,$end);
}
}
/**
* 降序合并
*
* @param int $start
* @param int $mid
* @param int $end
*/
public function descMerge(int $start, int $mid, int $end)
{
$i = $start;
$j = $mid+1;
$temp = [];
while (true) {
if ($i > $mid) break;
if ($j > $end) break;
if ($this->data[$i] < $this->data[$j]) {
$temp[] = $this->data[$j];
$j++;
}
if ($this->data[$i] > $this->data[$j]) {
$temp[] = $this->data[$i];
$i++;
}
}
if ($i < $mid+1) {
while ($i < $mid+1) {
$temp[] = $this->data[$i];
$i++;
}
}
if ($j < $end+1) {
while ($j < $end+1) {
$temp[] = $this->data[$j];
$j++;
}
}
$m = 0;
for ($k = $start; $k <=$end; $k++) {
$this->data[$k] = $temp[$m++];
}
}
}
$start = memory_get_usage();
$bubble = new DivideConquerSort([7,3,2,4,6,9,5,8]);
//$bubble->ascInsertSort();
//$bubble->ascDivideConquerSort();
$bubble->descDivideConquerSort();
$end = memory_get_usage();
prend(($end-$start)/1024/1024);
?>