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Copy pathInfixToPrefix.cpp
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131 lines (120 loc) · 2.88 KB
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#include <iostream>
#include <stack>
#include <algorithm>
using namespace std;
bool isOperator(char c)
{
if (c == '+' || c == '-' || c == '*' || c == '/' || c == '^')
{
return true;
}
else
{
return false;
}
}
int precedence(char c)
{
if (c == '^')
return 3;
else if (c == '*' || c == '/')
return 2;
else if (c == '+' || c == '-')
return 1;
else
return -1;
}
string InfixToPrefix(stack<char> s, string infix)
{
string prefix;
reverse(infix.begin(), infix.end());
for (int i = 0; i < infix.length(); i++)
{
if (infix[i] == '(')
{
infix[i] = ')';
}
else if (infix[i] == ')')
{
infix[i] = '(';
}
}
for (int i = 0; i < infix.length(); i++)
{
if ((infix[i] >= 'a' && infix[i] <= 'z') || (infix[i] >= 'A' && infix[i] <= 'Z'))
{
prefix += infix[i];
}
else if (infix[i] == '(')
{
s.push(infix[i]);
}
else if (infix[i] == ')')
{
while ((s.top() != '(') && (!s.empty()))
{
prefix += s.top();
s.pop();
}
if (s.top() == '(')
{
s.pop();
}
}
else if (isOperator(infix[i]))
{
if (s.empty())
{
s.push(infix[i]);
}
else
{
if (precedence(infix[i]) > precedence(s.top()))
{
s.push(infix[i]);
}
else if ((precedence(infix[i]) == precedence(s.top())) && (infix[i] == '^'))
{
while ((precedence(infix[i]) == precedence(s.top())) && (infix[i] == '^'))
{
prefix += s.top();
s.pop();
}
s.push(infix[i]);
}
else if (precedence(infix[i]) == precedence(s.top()))
{
s.push(infix[i]);
}
else
{
while ((!s.empty()) && (precedence(infix[i]) < precedence(s.top())))
{
prefix += s.top();
s.pop();
}
s.push(infix[i]);
}
}
}
}
while (!s.empty())
{
prefix += s.top();
s.pop();
}
reverse(prefix.begin(), prefix.end());
return prefix;
}
int main()
{
string infix, prefix;
cout << "Enter a Infix Expression :" << endl;
cin >> infix;
stack<char> stack;
cout << "INFIX EXPRESSION: " << infix << endl;
prefix = InfixToPrefix(stack, infix);
cout << endl
<< "PREFIX EXPRESSION: " << prefix;
return 0;
}