B_TREE.cpp

B_TREE.cpp

@@ -0,0 +1,155 @@
+#include<iostream>
+using namespace std;
+struct BTree//node declaration {
+   int *d;
+   BTree **child_ptr;
+   bool l;
+   int n;
+}*r = NULL, *np = NULL, *x = NULL;
+
+BTree* init()//creation of node {
+   int i;
+   np = new BTree;
+   np->d = new int[6];//order 6
+   np->child_ptr = new BTree *[7];
+   np->l = true;
+   np->n = 0;
+   for (i = 0; i < 7; i++) {
+      np->child_ptr[i] = NULL;
+   }
+   return np;
+}
+
+void traverse(BTree *p)//traverse the tree {
+   cout<<endl;
+   int i;
+   for (i = 0; i < p->n; i++) {
+      if (p->l == false) {
+         traverse(p->child_ptr[i]);
+      }
+      cout << " " << p->d[i];
+   }
+   if (p->l == false) {
+      traverse(p->child_ptr[i]);
+   }
+   cout<<endl;
+}
+
+void sort(int *p, int n)//sort the tree {
+   int i, j, t;
+   for (i = 0; i < n; i++) {
+      for (j = i; j <= n; j++) {
+         if (p[i] >p[j]) {
+            t = p[i];
+            p[i] = p[j];
+            p[j] = t;
+         }
+      }
+   }
+}
+
+int split_child(BTree *x, int i) {
+   int j, mid;
+   BTree *np1, *np3, *y;
+   np3 = init();//create new node
+   np3->l = true;
+   if (i == -1) {
+      mid = x->d[2];//find mid
+      x->d[2] = 0;
+      x->n--;
+      np1 = init();
+      np1->l= false;
+      x->l= true;
+      for (j = 3; j < 6; j++) {
+         np3->d[j - 3] = x->d[j];
+         np3->child_ptr[j - 3] = x->child_ptr[j];
+         np3->n++;
+         x->d[j] = 0;
+         x->n--;
+      }
+      for (j = 0; j < 6; j++) {
+         x->child_ptr[j] = NULL;
+      }
+      np1->d[0] = mid;
+      np1->child_ptr[np1->n] = x;
+      np1->child_ptr[np1->n + 1] = np3;
+      np1->n++;
+      r = np1;
+   } else {
+      y = x->child_ptr[i];
+      mid = y->d[2];
+      y->d[2] = 0;
+      y->n--;
+      for (j = 3; j <6 ; j++) {
+         np3->d[j - 3] = y->d[j];
+         np3->n++;
+         y->d[j] = 0;
+         y->n--;
+      }
+      x->child_ptr[i + 1] = y;
+      x->child_ptr[i + 1] = np3;
+   }
+   return mid;
+}
+
+void insert(int a) {
+   int i, t;
+   x = r;
+   if (x == NULL) {
+      r = init();
+      x = r;
+   } else {
+      if (x->l== true && x->n == 6) {
+         t = split_child(x, -1);
+         x = r;
+         for (i = 0; i < (x->n); i++) {
+            if ((a >x->d[i]) && (a < x->d[i + 1])) {
+               i++;
+               break;
+            } else if (a < x->d[0]) {
+               break;
+            } else {
+               continue;
+            }
+         }
+         x = x->child_ptr[i];
+      } else {
+         while (x->l == false) {
+            for (i = 0; i < (x->n); i++) {
+               if ((a >x->d[i]) && (a < x->d[i + 1])) {
+                  i++;
+                  break;
+               } else if (a < x->d[0]) {
+                  break;
+               } else {
+                  continue;
+               }
+            }
+            if ((x->child_ptr[i])->n == 6) {
+               t = split_child(x, i);
+               x->d[x->n] = t;
+               x->n++;
+               continue;
+            } else {
+               x = x->child_ptr[i];
+            }
+         }
+      }
+   }
+   x->d[x->n] = a;
+   sort(x->d, 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 B tree\n";
+   traverse(r);
+}