This C++ program implements the B-Tree data structure. B-tree is a tree data structure that keeps data sorted and allows searches, sequential access and insertions in logarithmic time. The B-tree is a generalization of a binary search tree in that a node can have more than two children
Here is the source code of the C++ program to display a B-Tree with a degree of 6. This C++ program is successfully compiled and run on DevCpp, a C++ compiler. The program output is given below.
/*
* C++ Program to Implement B-Tree
*/
#include<stdio.h>
#include<conio.h>
#include<iostream>
using namespace std;
struct BTreeNode
{
int *data;
BTreeNode **child_ptr;
bool leaf;
int n;
}*root = NULL, *np = NULL, *x = NULL;
BTreeNode * init()
{
int i;
np = new BTreeNode;
np->data = new int[5];
np->child_ptr = new BTreeNode *[6];
np->leaf = true;
np->n = 0;
for (i = 0; i < 6; i++)
{
np->child_ptr[i] = NULL;
}
return np;
}
void traverse(BTreeNode *p)
{
cout<<endl;
int i;
for (i = 0; i < p->n; i++)
{
if (p->leaf == false)
{
traverse(p->child_ptr[i]);
}
cout << " " << p->data[i];
}
if (p->leaf == false)
{
traverse(p->child_ptr[i]);
}
cout<<endl;
}
void sort(int *p, int n)
{
int i, j, temp;
for (i = 0; i < n; i++)
{
for (j = i; j <= n; j++)
{
if (p[i] > p[j])
{
temp = p[i];
p[i] = p[j];
p[j] = temp;
}
}
}
}
int split_child(BTreeNode *x, int i)
{
int j, mid;
BTreeNode *np1, *np3, *y;
np3 = init();
np3->leaf = true;
if (i == -1)
{
mid = x->data[2];
x->data[2] = 0;
x->n--;
np1 = init();
np1->leaf = false;
x->leaf = true;
for (j = 3; j < 5; j++)
{
np3->data[j - 3] = x->data[j];
np3->child_ptr[j - 3] = x->child_ptr[j];
np3->n++;
x->data[j] = 0;
x->n--;
}
for (j = 0; j < 6; j++)
{
x->child_ptr[j] = NULL;
}
np1->data[0] = mid;
np1->child_ptr[np1->n] = x;
np1->child_ptr[np1->n + 1] = np3;
np1->n++;
root = np1;
}
else
{
y = x->child_ptr[i];
mid = y->data[2];
y->data[2] = 0;
y->n--;
for (j = 3; j < 5; j++)
{
np3->data[j - 3] = y->data[j];
np3->n++;
y->data[j] = 0;
y->n--;
}
x->child_ptr[i + 1] = y;
x->child_ptr[i + 1] = np3;
}
return mid;
}
void insert(int a)
{
int i, temp;
x = root;
if (x == NULL)
{
root = init();
x = root;
}
else
{
if (x->leaf == true && x->n == 5)
{
temp = split_child(x, -1);
x = root;
for (i = 0; i < (x->n); i++)
{
if ((a > x->data[i]) && (a < x->data[i + 1]))
{
i++;
break;
}
else if (a < x->data[0])
{
break;
}
else
{
continue;
}
}
x = x->child_ptr[i];
}
else
{
while (x->leaf == false)
{
for (i = 0; i < (x->n); i++)
{
if ((a > x->data[i]) && (a < x->data[i + 1]))
{
i++;
break;
}
else if (a < x->data[0])
{
break;
}
else
{
continue;
}
}
if ((x->child_ptr[i])->n == 5)
{
temp = split_child(x, i);
x->data[x->n] = temp;
x->n++;
continue;
}
else
{
x = x->child_ptr[i];
}
}
}
}
x->data[x->n] = a;
sort(x->data, x->n);
x->n++;
}
int main()
{
int i, n, t;
cout<<"enter the no of elements to be inserted\n";
cin>>n;
for(i = 0; i < n; i++)
{
cout<<"enter the element\n";
cin>>t;
insert(t);
}
cout<<"traversal of constructed tree\n";
traverse(root);
getch();
}
Output enter the no of elements to be inserted 8 enter the element 10 enter the element 20 enter the element 5 enter the element 6 enter the element 12 enter the element 30 enter the element 7 enter the element 17 traversal of constructed tree 5 6 7 10 12 17 20 30
Sanfoundry Global Education & Learning Series – 1000 C++ Programs.
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