PHP Quick Sorting algorithm detailed, sorting algorithm detailed
Concept
Here to borrow a map of Baidu Encyclopedia, very image:
The fast sorting algorithm is an optimization of the bubbling algorithm. His idea is to first split the array, put the large element values into a temporary array, the small element values into another temporary array (the split point can be an array of any element value, generally with the first element, that is, $array[0]), and then continue to repeat the two temporary array of the above split, Finally, the small array elements and the large array elements are merged together. The idea of recursion is used here.
PHP implementation
Copy the Code code as follows:
/*
Quick Sort
*/
function QuickSort ($array)
{
if (!isset ($array [1]))
return $array;
$mid = $array [0]; Gets a keyword for segmentation, typically the first element
$leftArray = Array ();
$rightArray = Array ();
foreach ($array as $v)
{
if ($v > $mid)
$rightArray [] = $v; Put a number larger than $mid into an array.
if ($v < $mid)
$leftArray [] = $v; Put a number smaller than $mid in another array
}
$leftArray = QuickSort ($leftArray); Split the smaller array once again
$leftArray [] = $mid; Add the split element to the small array, and don't forget it.
$rightArray = QuickSort ($rightArray); Split the larger array once again
Return Array_merge ($leftArray, $rightArray); Combination of two results
}
Comparison with bubbling algorithm
Here I compare with the previously written bubble algorithm implementation of the order, you can see that this algorithm than the bubble algorithm efficiency is much higher.
Copy the Code code as follows:
$a = Array_rand (range (1,3000), 1500); Even when the bubbling algorithm more than 1600 elements of the memory is not enough hints, but here in order to measure the difference between the size of two, it is set to 1500, to ensure that the bubbling algorithm can also be completed.
Shuffle ($a); Get an array that has been scrambled in order
$t 1 = microtime (true);
QuickSort ($a); Quick Sort
$t 2 = Microtime (true);
Echo (($t 2-$t 1) *1000). ' Ms
';
Require ('./maopao.php '); This is the sort of bubble algorithm I wrote before.
$t 1 = microtime (true);
Maopao ($a); Bubble
$t 2 = Microtime (true);
Echo (($t 2-$t 1) *1000). ' Ms ';
Operation Result:
Copy the Code code as follows:
12.10880279541ms
772.64094352722ms
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