# Ternary Heap Sort Code in C++ using Heap Data structure

##### Introduction:

This code is implementation of ternary heap sort. The code requires no input. Data inputs (integers) are generated randomly then sorted using heap sort.

Only change the define SIZE value to for sorting large or small amount of numbers.

Code for Binary Heap Sort here.

#### Ternary Heap Sort Code Cpp:

```/**
* @author  Quickgrid ( Asif Ahmed )
* @link    https://quickgrid.wordpress.com
* Problem: Ternary Heap Sort
*/

#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<ctime>

#define SIZE 10
int A[SIZE], heapsize = SIZE;

void maxHeapify(int i){
int largest;

/**
* Find right child index
*/
int l = 3 * i + 1;

/**
* Compare left child against the current node
*/
if(l < heapsize && A[l] > A[i])
largest = l;
else
largest = i;

/**
* find mid child index
*/
int m = 3 * i + 2;

/**
* Compare mid child against the calculated largest value node
*/
if(m < heapsize && A[m] > A[largest])
largest = m;

/**
* Find right child index
*/
int r = 3 * i + 3;

/**
* Compare right child against the calculated largest value node
*/
if(r < heapsize && A[r] > A[largest])
largest = r;

/*
* If child nodes have larger value then current node
*/
if(largest != i){
/**
* Swap the two values
*/
std::swap(A[i], A[largest]);

/**
* Max heapify again rest of the heap
*/
maxHeapify(largest);
}
}

void buildMaxHeap(){
int j;
/**
* operate on third of array
*/
for(j = heapsize / 3 - 1; j >= 0; --j)
maxHeapify(j);
}

void heapsort(){
buildMaxHeap();

int i;
for(i = heapsize - 1; i > 0; --i){
std::swap(A[0], A[i]);

/**
* Decrease the heap size as right of heap is already sorted
*/
--heapsize;

/**
* Again max heapify the rest of the heap
*/
maxHeapify(0);
}
}

int main(){
int i;

clock_t begin, end;
double time_elapsed;

srand(time(NULL));
for(i=0; i<SIZE; ++i){
A[i] = rand() % SIZE;
printf("%d ", A[i]);
}
printf("\n");

printf("Sorting Now....\n");
begin = clock();
heapsort();
end = clock();

time_elapsed = (double)(end - begin) / CLOCKS_PER_SEC;

for(i=0; i<SIZE; ++i)
printf("%d ", A[i]);

printf("\n\nTime elapsed: %lf\n", time_elapsed);

return 0;
}
```