How to implement heap sorting in C language

This article introduces how to achieve heap sorting in c language, the content is very detailed, interested friends can use for reference, I hope it can be helpful to you.

The heap is a sequentially stored complete binary tree.

The keyword of each node is no larger than that of its child node, and such a heap is called a small root heap.

The keyword of each node is no less than that of its child node, and such a heap is called a big root heap.

For example, for the sequence of n elements {R0, R1, … , Rn} is called a heap if and only if one of the following relationships is satisfied:

(1) Ri = R2i+2 (big root pile)

Among them, iTunes 1, 2, … , nadir 2 rounded down

As shown in the figure above, the sequence R {3,5,8,10,7} is a typical small root heap.

There are two parent nodes in the heap, element 3 and element 8.

Element 3 is represented by R [0] in the array, and its left child node is R [1] and the right child node is R [2].

Element 5 is represented by R [1] in the array, its left child node is R [3], its right child node is R [4], and its parent node is R [0]. As you can see, they meet the following rules:

If the current element is represented by R [I] in the array, then

(1) its left child node is R [2i + 1]

(2) its right child node is: r [2i + 2]

(3) its parent node is: r [(iMel 1) / 2]

(4) R [I] 0; Imurb -) {/ / the last element and the first element are exchanged int temp = array [I]; array [I] = array [0]; array [0] = temp; / / filter array [0] node to get the heap HeapAdjust (array, 0, I) of 1 node. Printf ("% d trip:\ t", length-I); printPart (array, 0, length-1);} system ("pause"); return 0;} void HeapAdjust (int * array, int parent, int length) {int tmp = array [parent]; int Lchild= 2 * parent + 1; while (Lchild= array [Lchild]) break / assign the value of the child node to the parent node array [parent] = array [Lchild]; / / select the left child node of the child node, and continue to filter down parent = Lchild; Lchild = 2 * Lchild + 1;} array [parent] = tmp;} void printPart (int * array, int begin, int end) {for (int I = begin; I)