Write a C++ program that converts an ordinary infix arithmetic expression (assum
ID: 3904697 • Letter: W
Question
Write a C++ program that converts an ordinary infix arithmetic expression (assume a valid expression is entered) with single-digit integers such as (6 + 2) * 5 - 8 / 4
to a postfix expression. The postfix version of the preceding infix expression should be 62+5*84/-. Also ensure that this c++ code can evaluate a postfix expression, such as 6 2 + 5 * 8 4 / - ; The program should read a postfix expression consisting of single digits and operators into a character array. Use stack functions in this project, the program should scan the expression and evaluate it. Ensure that the code can run
Explanation / Answer
Below is the code for Infix to postfix
#include<iostream>
#include<stack>
#include<string>
using namespace std;
// Function to convert Infix expression to postfix
string InfixToPostfix(string expression);
// Function to verify whether an operator has higher precedence over other
int HasHigherPrecedence(char operator1, char operator2);
// Function to verify whether a character is operator symbol or not.
bool IsOperator(char C);
// Function to verify whether a character is alphanumeric chanaracter (letter or numeric digit) or not.
bool IsOperand(char C);
int main()
{
string expression;
cout<<"Enter Infix Expression: ";
getline(cin,expression);
string postfix = InfixToPostfix(expression);
cout<<"Postfix = "<<postfix<<" ";
}
// Function to evaluate Postfix expression and return output
string InfixToPostfix(string expression)
{
// Declaring a Stack from Standard template library in C++.
stack<char> S;
string postfix = ""; // Initialize postfix as empty string.
for(int i = 0;i< expression.length();i++) {
// Scanning each character from left.
// If character is a delimitter, move on.
if(expression[i] == ' ' || expression[i] == ',') continue;
// If character is operator, pop two elements from stack, perform operation and push the result back.
else if(IsOperator(expression[i]))
{
while(!S.empty() && S.top() != '(' && HasHigherPrecedence(S.top(),expression[i]))
{
postfix+= S.top();
S.pop();
}
S.push(expression[i]);
}
// Else if character is an operand
else if(IsOperand(expression[i]))
{
postfix +=expression[i];
}
else if (expression[i] == '(')
{
S.push(expression[i]);
}
else if(expression[i] == ')')
{
while(!S.empty() && S.top() != '(') {
postfix += S.top();
S.pop();
}
S.pop();
}
}
while(!S.empty()) {
postfix += S.top();
S.pop();
}
return postfix;
}
// Function to verify whether a character is english letter or numeric digit.
// We are assuming in this solution that operand will be a single character
bool IsOperand(char C)
{
if(C >= '0' && C <= '9') return true;
if(C >= 'a' && C <= 'z') return true;
if(C >= 'A' && C <= 'Z') return true;
return false;
}
// Function to verify whether a character is operator symbol or not.
bool IsOperator(char C)
{
if(C == '+' || C == '-' || C == '*' || C == '/' || C== '^')
return true;
return false;
}
// Function to verify whether an operator is right associative or not.
int IsRightAssociative(char op)
{
if(op == '^') return true;
return false;
}
// Function to get weight of an operator. An operator with higher weight will have higher precedence.
int GetOperatorWeight(char op)
{
int weight = -1;
switch(op)
{
case '+':
case '-':
weight = 1;
break;
case '*':
case '/':
weight = 2;
break;
case '^':
weight = 3;
break;
}
return weight;
}
// Function to perform an operation and return output.
int HasHigherPrecedence(char op1, char op2)
{
int op1Weight = GetOperatorWeight(op1);
int op2Weight = GetOperatorWeight(op2);
// If operators have equal precedence, return true if they are left associative.
// return false, if right associative.
// if operator is left-associative, left one should be given priority.
if(op1Weight == op2Weight)
{
if(IsRightAssociative(op1)) return false;
else return true;
}
return op1Weight > op2Weight ? true: false;
}
Output
Enter Infix Expression: (6 + 2) * 5 - 8 / 4
Postfix = 62+5*84/-
Please post the question to evaluate postfix as different question.Please do rate this answer positive, If i was able to help you. Let me know if you have any issues in comments
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