One of the common problems in programming is to sort an array of values in some order (ascending or descending).

While there are many "standard" sorting algorithms, QuickSort is one of the fastest. Quicksort sorts by employing a *divide and conquer strategy* to divide a list into two sub-lists.

### QuickSort Algorithm

The basic concept is to pick one of the elements in the array, called a *pivot*. Around the pivot, other elements will be rearranged. Everything less than the pivot is moved left of the pivot - into the left partition. Everything greater than the pivot goes into the right partition. At this point, each partition is recursive "quick sorted".

Here's QuickSort algorithm implemented in Delphi:

**procedure** QuickSort(**var** A: **array of** Integer; iLo, iHi: Integer) ;**var**

Lo, Hi, Pivot, T: Integer;

begin

Lo := iLo;

Hi := iHi;

Pivot := A(Lo + Hi) **div** 2;

**repeat**

**while** ALo < Pivot **do** Inc(Lo) ;

**while** AHi > Pivot **do** Dec(Hi) ;

**if** Lo <= Hi **then**

**begin**

T := ALo;

ALo := AHi;

AHi := T;

Inc(Lo) ;

Dec(Hi) ;

**end**;

**until** Lo > Hi;

**if** Hi > iLo **then** QuickSort(A, iLo, Hi) ;

**if** Lo < iHi **then** QuickSort(A, Lo, iHi) ;**end**;

Usage:

**var**

intArray : **array of** integer;**begin**

SetLength(intArray,10) ;

*//Add values to intArray*

intArray0 := 2007;

…

intArray9 := 1973;

*//sort*

QuickSort(intArray, Low(intArray), High(intArray)) ;

Note: in practice, the QuickSort becomes very slow when the array passed to it is already close to being sorted.

There's a demo program that ships with Delphi, called "thrddemo" in the "Threads" folder which shows additional two sorting algorithms: Bubble sort and Selection Sort.