Expression Evaluator

/******************************************************************
 *      Equation parser utility Class V.0.1                       *
 *                                                                *
 *      Author: Iamthwee                                          *
 *                                                                *
 *      Filename: Equation.cpp                                    *
 *                                                                *
 *      Purpose: To provide easy functions for evaluating         *
 *               mathematical expressions with multiple           *
 *               nesting. Permittable operators:                  *
 *               +-/*^()                                          *
 *                                                                *
 *                                                                *
 *      Rights:  The proprietary rights are owned by me           *
 *               alone.                                           *
 *                                                                *
 *               You may not take credit for writing              *
 *               this, sell it, or remove this signature.         *
 *                                                                *
 *      Notes:   Two main methods exist:                          *
 *               -set()                                           *
 *               -rpn()                                           *
 *               -An example is given for clarity.                *  
 *               -Error checks are incomplete                     *
 *                                                                *
 *                                                                *
 ******************************************************************/
#include <iostream>
#include <string>
#include <sstream>
#include <stack>
#include <vector>
#include <cmath>
 
using namespace std;
 
class Equation
{
//define public member functions
public:
        Equation(); //default constructor
        ~Equation();//default destructor
        
        void rpn(); //main method
        void set(string); //main method
        
        
        double Eval(vector <string> & s);
        void Convert(const string & Infix, string & Postfix);
        bool TakesPrecedence(char OperatorA, char OperatorB);
        bool IsOperand(char ch);
        bool IsOperator(char ch);
        bool IsNumber(char ch);
        string ChangeMe(string);
        string InsertSpace(string);
        bool CheckValid(string);
        void Next(string);
        
//define private member functions
private: 
        string Infix;
};

//Polynomial constructor
Equation::Equation() 
{
  Infix = "";  
}

//Polynomial destructor.
Equation::~Equation() 
{
 //do its work
}

//Setter method
void Equation::set(string a)
{
    Infix = a;
}

bool Equation::IsOperand(char ch)
{
   if (
       ((ch >= '0') && (ch <= '9'))||
       (ch == 'v') ||
       (ch == 'y') ||
       (ch == '.') 
       )
      return true;
   else
      return false;
}

bool Equation::IsNumber(char ch)
{
   if (
       ((ch >= '0') && (ch <= '9'))||
       (ch == '.')
       )
       return true;
    else
       return false;
}

bool Equation::IsOperator(char ch)
{
    if ((ch == '+') ||
        (ch == '-') ||
        (ch == '*') ||
        (ch == '/') ||
        (ch == '^'))
        return true;
     else
        return false;
}
        

bool Equation::TakesPrecedence(char OperatorA, char OperatorB)
{
   if (OperatorA == '(')
      return false;
   else if (OperatorB == '(')
      return false;
   else if (OperatorB == ')')
      return true;
   else if ((OperatorA == '^') && (OperatorB == '^'))
      return false;
   else if (OperatorA == '^')
      return true;
   else if (OperatorB == '^')
      return false;
   else if ((OperatorA == '*') || (OperatorA == '/'))
      return true;
   else if ((OperatorB == '*') || (OperatorB == '/'))
      return false;
   else
      return true;   
}

void Equation::Convert(const string & Infix, string & Postfix)
{
   stack <char> OperatorStack;
   char TopSymbol, Symbol;
   int k;

   for (k = 0; k < Infix.size(); k++)
   {
      Symbol = Infix[k];
      if (IsOperand(Symbol))
         Postfix = Postfix + Symbol;
      else
      {
         while ((! OperatorStack.empty()) &&
            (TakesPrecedence(OperatorStack.top(), Symbol)))
            {
            TopSymbol = OperatorStack.top();
            OperatorStack.pop();
            Postfix = Postfix + TopSymbol;
            }
         if ((! OperatorStack.empty()) && (Symbol == ')'))
            OperatorStack.pop();   // discard matching (
         else
            OperatorStack.push(Symbol);
      }
   }

   while (! OperatorStack.empty())
   {
      TopSymbol = OperatorStack.top();
      OperatorStack.pop();
      Postfix = Postfix + TopSymbol;
   }
}

string Equation::ChangeMe(string tmp)
{
    for(int i = 0; i <tmp.length(); i++)
    {
      if(IsNumber(tmp[i])==true)
      {
          if(IsNumber(tmp[i+1])==false)
          {  
              tmp.insert(i+1, "v");
          }    
      }    
    }
    // -ve * -ve case
    for (int i = 0; i < tmp.length(); i++)
    {
        if(tmp[i]=='-')
        {
            if((tmp[i-1]!='v')&&(tmp[i-1]!=')'))
            {
               tmp.replace(i,1,"y"); 
            }
        }
    } 
    return tmp;
}  

string Equation::InsertSpace(string tmp)
{
    for(int i = 0; i < tmp.length(); i++)
    {
         if (IsOperator(tmp[i])==true)
          {
            tmp.insert(i+1, " ");
            //Insert a space after all
            //found operators
          } 
           else if( tmp[i]=='v' )
           {
              tmp.replace(i,1," ");
              //replace the v with a space
              //for clarity
           }               
    }
    
    for (int i = 0; i < tmp.length(); i++)
    {
        if(tmp[i]=='y')
        {
             tmp.replace(i,1,"-");
        }
     }    
    return tmp; 
}   

bool Equation::CheckValid(string tmp)
{
    //incomplete
    //Changed check that consecutive '+', '-' 
    //signs do not exist
    for (int i = 0; i < tmp.length(); i++)
    {
        if((tmp[i]=='+')||(tmp[i]=='-'))
        {
            if((tmp[i+1]=='+')||(tmp[i+1]=='-'))
            {
                return false;
            }
        }
    }            

    string array = "0123456789+-*/^().";

    int count = 0;
    for (int i = 0; i < tmp.length(); i++)
    {
        for(int j = 0; j < array.length(); j++)
        {
            if(tmp[i]==array[j])
            {
               count++;
            }
        }
    }
    
    if (count == tmp.length())
    {
      return true;   
    }
    else
    {   
      return false;   
    }
            
} 

void Equation::Next(string tmp)
{
  vector <string> array; 
  
  int spaces = 0;
  for ( int a = 0; a < tmp.length(); a++ )
  {
      if(tmp[a]==' ')
      {
          spaces++;
      }
  }        
   string token;
   istringstream iss(tmp);
   while ( getline(iss, token, ' ') )
   {
      array.push_back(token);
   }   
    
  stack <string> my_stack;//initialise stack
  vector <string> temp;
  string ch;
  
  for (int i = 0; i < spaces; i++)
  {
      string s;
      s = array[i]; //make it easier to read
      
      if ((s!="+")&&(s!="*")&&(s!="-")&&(s!="^")&&(s!="/"))
      {
        my_stack.push(s);
        //push numbers onto the stack
      }
         else //i.e if it encounters an operator
         {
               my_stack.push(s);//push operator onto stack
               
               for ( int i = 0; i < 3; i++ )
               {
                 temp.push_back(my_stack.top());
                 my_stack.pop(); //erase from the stack
               }

               double z;
               z = Eval(temp);
               ostringstream outs; 
               outs << z;   // Convert value into a string.
               ch = outs.str(); 

               my_stack.push(ch);
               temp.clear();
          }                
  }
  cout << ch;  
  
} 

double Equation::Eval(vector <string> & temp)
{
    
    string a,b,c;
    a = temp[2]; b = temp[0]; c = temp[1];
    double x,y,z;
    istringstream ins,inse;
    ins.str(a); inse.str(c);
    ins >> x;
    inse >> y;
    
     if (b == "+")
     {
        z = x + y;
        return z;
     } 
     else if (b == "-")
     {
        z = x - y;
        return z;
     } 
     else if (b == "*")
     {
        z = x * y;
        return z;
     }
     else if (b == "/")
     {
        z = x / y;
        return z;
     }
     else if (b == "^")
     {
        z = pow(x,y);
        return z;
     }   
                           
}    

void Equation::rpn()
{
    string Postfix;
    if(CheckValid(Infix)==true)
    {

      string temp;
      temp = ChangeMe(Infix); 
      
      Convert(temp, Postfix);
      
      cout << "****Postfix****\n" << endl
      << InsertSpace(Postfix);

      string hold;
      hold = InsertSpace(Postfix);
         
      cout << "\n\n****Solution****\n\n";
      Next(hold);
      cout << "\n\n";
    }
    else
    {
        cout << "Expression invalid retard!\n";
    }
}      

int main()
{
    //test cases
    Equation a,b,c;
    
    a.set("3-(5-(7+1))^2*(-5)+13");
    a.rpn();
    
    b.set("3.2+(6.34*(1.7))");
    b.rpn();
    
    c.set("3+4*2/(1-5)^2");
    c.rpn();
    
    cin.get();
    return 0;
    
}