# C++ Program to Implement Expression Tree Algorithm

An expression tree is basically a binary which is used to represent expressions. In expression tree, internal nodes correspond to operators and each leaf node corresponds to an operand. Here is a C++ Program to implement the Expression Tree Algorithm which takes the postfix expression as an input and generates the corresponding expression tree traversed in inorder.

## Algorithm

Begin
function construct_expression_tree():
Flag = 1 when it is operand.
Flag = -1 when it is operator.
S = suffix[0] means read the first operand from the expression.
For i = 0 and until s != 0
Check symbol is operand or operator.
Call function void inorder() for inorder traversal.
Print the results.
Increment i
End.

## Example Code

#include <iostream>
using namespace std;

struct n//node declaration {
char d;
n *l;
n *r;
};
char pf[50];
int top = -1;
n *a[50];
int r(char inputch)//check the symbol whether it is an operator or an operand. {
if (inputch == '+' || inputch == '-' || inputch == '*' || inputch == '/')
return (-1);
else if (inputch >= 'A' || inputch <= 'Z')
return (1);
else if (inputch >= 'a' || inputch <= 'z')
return (1);
else
return (-100);
}
void push(n *tree)//push elements in stack {
top++;
a[top] = tree;
}
n *pop() {
top--;
return (a[top + 1]);
}
void construct_expression_tree(char *suffix) {
char s;
n *newl, *p1, *p2;
int flag;
s = suffix[0];
for (int i = 1; s!= 0; i++) {
flag = r(s);
if (flag == 1) {
newl = new n;
newl->d = s;
newl->l = NULL;
newl->r = NULL;
push(newl);
} else {
p1 = pop();
p2 = pop();
newl = new n;
newl->d = s;
newl->l = p2;
newl->r = p1;
push(newl);
}
s = suffix[i];
}
}

void inOrder(n *tree)//perform inorder traversal {
if (tree != NULL) {
inOrder(tree->l);
cout << tree->d;
inOrder(tree->r);
}
}

int main(int argc, char **argv) {
cout << "Enter Postfix Expression : ";
cin >>pf;
construct_expression_tree(pf);
cout << "\nInfix Expression : ";
inOrder(a[0]);
return 0;
}

## Output

Enter Postfix Expression : 762*+6+
Infix Expression : 7+6*2+6

Updated on: 30-Jul-2019

337 Views