Infix to Postfix calculator, implement sin cos and X&Y variables? - c++

Question

I'm pretty green at C++, and I have to make an infix to postfix calculator that supports sin() and cos(), and it has to be a 2 variable function, something like z=3x*sin(3+4y), I already got the parser from infix to postfix, but I don't know how to implement sin and cos, I've been told that I could set them as operator, like +, -, /, etc. and to set a specific token for them, like "s" for sin() and "c" for cos() but I don't exactly know how, and I don't know either how to implement the variables x & y, I know that this is not something I should be asking, but I'm just tired and desperate.
Here's the code I have. I'm using Ubuntu 11:
#include <iostream>
#include <cmath>
#include <cstdlib>
#include <string>
#define MAX_SIZE 20
using namespace std;
template<class T> class Stack
{
private:
T item[MAX_SIZE];
int top;
public:
Stack()
{
top = -1;
}
void push(T data)
{
if(!this->is_full())
item[++top] = data;
else
{
cout << "Stack Error" << endl;
exit(10);
}
}
T pop()
{
if(!this->is_empty())
{
return item[top--];
}
else
{
cout << "Stack is Empty" << endl;
exit(11);
}
}
int size()
{
return top + 1;
}
bool is_empty()
{
if(top == -1)
return true;
else
return false;
}
bool is_full()
{
if(top == MAX_SIZE - 1)
return true;
else
return false;
}
void display()
{
for(int i = 0; i < this->size(); i++)
{
cout << item[i] << " ";
}
cout << endl;
}
T return_top()
{
return item[top];
}
};
class Convert
{
private:
bool num_flag;
bool two_digit_flag;
public:
Convert();
string return_with_bracket(string infix);
void to_Postfix(string infix,char postfix[]);
bool prcd(char op1, char op2);
int isOperand(char op);
int isOperator(char op);
bool return_flag()
{
return num_flag;
}
};
Convert::Convert()
{
this->num_flag = false;
this->two_digit_flag = false;
}
string Convert::return_with_bracket(string infix)
{
return("(" + infix + ")");
}
bool Convert::prcd(char op1, char op2)
{
if((op1 == '+' || op1 == '-' || op1 == '*' || op1 == '/') && op2 == '(')
return true;
if(op1=='+' && op2=='+')
return true;
if(op1=='-' && op2=='-')
return false;
if(op1=='-' && op2=='+')
return false;
if(op1=='+' && op2=='-')
return false;
if(op1=='/' && op2=='/')
return false;
if(op1=='/' && (op2=='-' || op2=='+'))
return true;
if(op1=='*' && (op2=='+' || op2=='-'))
return true;
if((op1 == '-' || op1 == '+') && (op2 =='*' || op2 == '/'))
return false;
if((op1 == '$' || op1 == '+') && (op2 =='*' || op2 == '/' || op2=='-'))
return true;
if((op1 == '-' || op1 == '+' || op1 =='*' || op1 == '/')&& op2=='^')
return false;
if(op1 == '^' && ( op2 == '+' || op2 =='*' || op2 == '/' || op2=='-'))
return false;
}
int Convert::isOperand(char op)
{
return(op >= '0' && op <= '9');
}
int Convert::isOperator(char op)
{
return(op =='+' || op =='-' || op == '/' || op =='*' || op =='^');
}
void Convert::to_Postfix(string infix, char postfix[])
{
int position, outpos=0;
char c;
int count = 0;
char temp;
char stacktop;
Stack<char> stack;
for(position = 0; (c = infix[position]) != '\0'; position++)
{
if(this->isOperand(c))
{
postfix[outpos++] = c;
this->num_flag = true;
count++;
if(count >= 2)
{
this->two_digit_flag = true;
}
}
else if(this->isOperator(c))
{
count = 0;
if(isOperator(infix[position]) && isOperator(infix[position + 1]))
{
cout << " '\' aMissing argument in between " << infix[position] << " and " << infix[position + 1] << " in column " << position + 1 << endl;
exit(9);
}
if(this->prcd(c, stacktop))
{
stacktop = stack.return_top();
stack.push(c);
stacktop = c;
}
else
{
while(true)
{
temp = stack.pop();
postfix[outpos++] = temp;
stacktop = stack.return_top();
if(prcd(c, stacktop) || stacktop == '(')
break;
}
stack.push(c);
stacktop = stack.return_top();
}
}
else if(c == '(')
{
count = 0;
stack.push(c);
stacktop = stack.return_top();
}
else if(c == ')')
{
count = 0;
while(1)
{
if(stack.size() == 0)
{
cout << "Warning!! Number of ')' is greater than '('" << endl;
exit(2);
}
temp = stack.pop();
if(temp != '(')
{
postfix[outpos++] = temp;
}
else
{
break;
}
}
stacktop = stack.return_top();
}
else
{
cout << "Invalid input";
exit(3);
}
if(infix[position] == ')' && infix[position + 1] == '(')
{
stack.push('*');
stacktop = stack.return_top();
}
}
if(stack.size() != 0)
{
cout << "Warning!!Number of '(' is greater than ')'" << endl;
// exit(6);
}
if(!this->return_flag())
{
cout << "You must Enter Numeric value for calculation" << endl;
cout << "This program cannot perform operations on variables";
exit(5);
}
if(this->two_digit_flag)
{
cout << "Sory! Althoug u may have entered right string" << endl;
cout << "this program is only for single digit operation" << endl;
exit(8);
}
postfix[outpos] = '\0';
}
class Evaluate
{
public:
double eval(char expr[], Convert &);
double oper(int symb, double op1, double op2);
};
double Evaluate::oper(int symb, double op1, double op2)
{
switch(symb)
{
case '+': return (op1 + op2);
case '-': return (op1 - op2);
case '*': return (op1 * op2);
case '/': return (op1 / op2);
case '^': return (pow(op1, op2));
}
}
double Evaluate::eval(char expr[], Convert &convert)
{
int c, position;
char temp1;
int count = 0;
double opnd1, opnd2, value;
Stack<double> stack;
for(position = 0; (c = expr[position]) != '\0'; position++)
{
if(convert.isOperand(c))
{
temp1 = double(c - '0');
stack.push(temp1);
}
else
{
opnd2 = stack.pop();
if(stack.size() == 0)
{
cout << "This program cannot process unary operation";
exit(1);
}
opnd1 = stack.pop();
value = oper(c, opnd1, opnd2);
stack.push(value);
}
}
if(stack.size() >= 2)
{
cout << "Sory! this program cannot calculate this" << endl;
cout << "Enter +, *, /, - or ^ between bracket" << endl;
exit(4);
}
return (stack.pop());
}
int main()
{
Convert convert;
Evaluate evaluate;
string bracketted_infix;
char infix[50], postfix[50];
char choice;
while(1)
{
cout << "Enter string: ";
cin >> infix;
cout << endl;
cout << "Entered String: " << infix << endl;
bracketted_infix = convert.return_with_bracket(infix);
convert.to_Postfix(bracketted_infix, postfix);
cout << "Equivalent Postfix string: " << postfix << endl;
cout << "RESULT: ";
cout << evaluate.eval(postfix, convert);
cout << "\nCalculate another string?(y/n) ";
cin >> choice;
cout << endl;
if(choice == 'n')
break;
}
return 0;
}