// CPP program to convert infix to prefix
#include <bits/stdc++.h>
using namespace std;
bool isOperator(char c)
{
return (!isalpha(c) && !isdigit(c));
}
int getPriority(char C)
{
if (C == '-' || C == '+')
return 1;
else if (C == '*' || C == '/')
return 2;
else if (C == '^')
return 3;
return 0;
}
string infixToPostfix(string infix)
{
infix = '(' + infix + ')';
int l = infix.size();
stack<char> char_stack;
string output;
for (int i = 0; i < l; i++) {
// If the scanned character is an
// operand, add it to output.
if (isalpha(infix[i]) || isdigit(infix[i]))
output += infix[i];
// If the scanned character is an
// ‘(‘, push it to the stack.
else if (infix[i] == '(')
char_stack.push('(');
// If the scanned character is an
// ‘)’, pop and output from the stack
// until an ‘(‘ is encountered.
else if (infix[i] == ')') {
while (char_stack.top() != '(') {
output += char_stack.top();
char_stack.pop();
}
// Remove '(' from the stack
char_stack.pop();
}
// Operator found
else
{
if (isOperator(char_stack.top()))
{
if(infix[i] == '^')
{
while (getPriority(infix[i]) <= getPriority(char_stack.top()))
{
output += char_stack.top();
char_stack.pop();
}
}
else
{
while (getPriority(infix[i]) < getPriority(char_stack.top()))
{
output += char_stack.top();
char_stack.pop();
}
}
// Push current Operator on stack
char_stack.push(infix[i]);
}
}
}
while(!char_stack.empty()){
output += char_stack.top();
char_stack.pop();
}
return output;
}
string infixToPrefix(string infix)
{
/* Reverse String
* Replace ( with ) and vice versa
* Get Postfix
* Reverse Postfix * */
int l = infix.size();
// Reverse infix
reverse(infix.begin(), infix.end());
// Replace ( with ) and vice versa
for (int i = 0; i < l; i++) {
if (infix[i] == '(') {
infix[i] = ')';
i++;
}
else if (infix[i] == ')') {
infix[i] = '(';
i++;
}
}
string prefix = infixToPostfix(infix);
// Reverse postfix
reverse(prefix.begin(), prefix.end());
return prefix;
}
// Driver code
int main()
{
string s = ("a+b");
cout << infixToPrefix(s) << std::endl;
return 0;
}
1 Answer