#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;


class Shape
{
public:
virtual double Area()=0;
};

class Diamond : public Shape{
private:
double side1 , side2;
public:
Diamond(double side1,double side2){
this->side1 = side1;
this->side2 = side2;
}
double getSide1()
{
return side1;
}
double getSide2()
{
return side2;
}
double Area()
{
return (side1 * side2) / 2;
}
};

class Oval : public Shape
{
private:
double Axis1;
double Axis2;
public:
Oval(double one,double two)
{
Axis1 = one;
Axis2 = two;
}
double getAxis1()
{
return Axis1;
}
double getAxis2()
{
return Axis2;
}
double Area()
{

return Axis1 * Axis2 * 3.14;
}
};

class Pentagon : public Shape
{
private:
double oneSide;
public:
Pentagon(double side)
{
oneSide = side;
}
double getSide()
{
return oneSide;
}
double Area()
{
return 1.0 / 4 * sqrt( 5 * ( 5 + 2 * sqrt(5)) * oneSide * oneSide);
}
};

int main()
{
Shape* shape[10];
int userChoice;
int i= 0;
double one, two;
double side1, side2;
double side;

do
{
cout << endl << ">1 =Type 1 to make a Diamond= ";
cout << endl << ">2 =Type 2 to make an Oval= ";
cout << endl << ">3 =Type 3 to make a Pentagon= ";
cout << endl << ">4 =Type 4 to list all currently stored shape areas= ";
cout << endl << ">5 =Type 5 to close the Menu and exit the program= ";
cout << endl << "Please enter a letter choice: ";
cin >> userChoice;

if(cin.fail())
{
       cout<<"** Invalid.Must be an integer **"<<endl;
       cin.clear();
cin.ignore(256, '\n');
continue;
}
else if(userChoice<1 || userChoice>5)
{
   cout<<"** Invalid Choice.Must be between 1-5 **"<<endl;
   continue;
}


switch(userChoice)
{
case 1:
cout<< endl << "Input the two equal sides of the Diamond: ";
cin >> side1 >> side2;
shape[i] = new Diamond(side1 , side2);
i++;
break;


case 2:
cout<<"Input the two axes of the Oval: ";
cin >> one >> two;
shape[i] = new Oval(one , two);
i++;
break;


case 3:
cout << "Input a single side to the equal-sided Pentagon: ";
cin >> side;
shape[i] = new Pentagon(side);
i++;
break;


case 4:
cout<<"********************************************************"<<endl;
for(int j = 0; j < i;j++)
{

cout<<"Current shape "<<(j+1)<<" has area = "<<shape[j]->Area() << endl;
}
cout<<"********************************************************"<<endl;
break;


case 5:
break;


default :
cout<<"\nInvalid option";
break;
}

}
while(userChoice != 5);
return 0;

}