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Implementation of algorithm to convert infix expressions to postfix and prefix expressions.
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#include "lib/stack.hpp" | |
#include <iostream> | |
#include <string> | |
#include <cstring> | |
#include <algorithm> | |
#include <cctype> | |
using std::string; | |
using std::cin; | |
using std::cout; | |
class ArithmeticExpression{ | |
char operators[6] = {'/', '*', '+', '-', '^'}; | |
Stack<char> operatorstack; | |
string expression; | |
int precedence(char ops){ | |
int weight; | |
switch(ops){ | |
case '(': | |
weight = 5; | |
break; | |
case '^': | |
weight = 4; | |
break; | |
case '/': | |
case '*': | |
weight = 3; | |
break; | |
case '+': | |
case '-': | |
weight = 2; | |
break; | |
default: | |
weight = 1; | |
break; | |
} | |
return weight; | |
} | |
public: | |
ArithmeticExpression(string expression):expression(expression){ } | |
string infixToPostfix(){ | |
int index = 0; | |
string postfixexpr; | |
while(index <= expression.length()){ | |
char token = expression[index]; | |
if(token == ' ' || token == '\t') { } | |
else if(std::isalpha(token)){ | |
postfixexpr += token; | |
} | |
else if(std::strchr(operators,token)!=NULL){ | |
while( | |
!operatorstack.empty() | |
&& (precedence(token) <= precedence(operatorstack.top())) | |
&& operatorstack.top()!='(' | |
) { | |
postfixexpr += operatorstack.top(); | |
operatorstack.pop(); | |
} | |
operatorstack.push(token); | |
} | |
else if(token == '('){ | |
operatorstack.push(token); | |
} | |
else if(token == ')'){ | |
while(!operatorstack.empty() && operatorstack.top()!='('){ | |
postfixexpr += operatorstack.top(); | |
operatorstack.pop(); | |
} | |
operatorstack.pop(); | |
} | |
index++; | |
} | |
while(!operatorstack.empty()){ | |
postfixexpr += operatorstack.top(); | |
operatorstack.pop(); | |
} | |
return postfixexpr; | |
} | |
string infixToPrefix(){ | |
std::reverse(expression.begin(), expression.end()); | |
cout << expression << '\n'; | |
for(char& c:expression){ | |
if(c =='('){ | |
c = ')'; | |
} | |
else if( c== ')'){ | |
c = '('; | |
} | |
} | |
cout << expression << '\n'; | |
string prefixexpr = infixToPostfix(); | |
cout << prefixexpr << '\n'; | |
std::reverse(prefixexpr.begin(), prefixexpr.end()); | |
cout << prefixexpr << '\n'; | |
std::reverse(expression.begin(), expression.end()); | |
for(char& c:expression){ | |
if(c =='('){ | |
c = ')'; | |
} | |
else if( c== ')'){ | |
c = '('; | |
} | |
} | |
return prefixexpr; | |
} | |
}; | |
int main(int argc, char* argv[]){ | |
string expression; //"a+(b*c-(d/e-f)*g)*h"; | |
cout << "Enter expression: "; std::cin >> expression; | |
ArithmeticExpression abcd(expression); | |
cout << abcd.infixToPrefix(); | |
return 0; | |
} |
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