// Assignment 10 Solution - Fall 2020

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

class Location
{
    double x;
    double y;
public:
    Location(double arg1 = 0, double arg2 = 0) : x(arg1), y(arg2) {}
    double getX() const
    {
        return x;
    }
    double getY() const
    {
        return y;
    }
};

ostream& operator<<(ostream& out, const Location& obj)
{
    out << '(' << obj.getX() << ',' << obj.getY() << ')';
    return out;
}

class Shape
{
protected:
    Location location;
    string color;
    string type;
public:
    Shape(double = 0,double = 0, string col = "", string typ = "shape");
    Location getLocation() const
    {
        return location;
    }
    string getType() const
    {
        return type;
    }
    string getColor() const
    {
        return color;
    }
    string area() const
    {
        return "n/a";
    }
};

Shape::Shape(double c_x, double c_y, string col, string typ)
    : location(c_x,c_y), color(col), type(typ)
{ }

ostream& operator<<(ostream& out, const Shape& obj)
{
    out << setw(10) << obj.getType() << setw(12) << obj.getColor() << "  " << obj.getLocation();
    return out;
}

class Square : public Shape
{
private:
    double side;
public:
    Square(double c_x,double c_y, double s, string col);
    double get_side()
    {
        return side;
    }
    double area() const;
};

Square::Square(double c_x, double c_y, double s, string col)
    : Shape(c_x,c_y,col,"Square"), side(s)
{ }

double Square::area() const
{
    return side * side;
}

class Circle : public Shape
{
private:
    double radius;
public:
    Circle(double c_x, double c_y, double r, string col);
    double get_radius()
    {
        return radius;
    }
    double area() const;
};

Circle::Circle(double c_x, double c_y, double r, string col)
    : Shape(c_x,c_y,col,"Circle"), radius(r)
{ }

double Circle::area() const
{
    const double Pi = 3.141592654;
    return Pi*radius*radius;
}

class Triangle : public Shape
{
private:
    double a,b,c;	// length of 3 sides

public:
    Triangle(double c_x,double c_y, double s1, double s2, double s3, string col);
    void print_sides();
    double area() const;
};

Triangle::Triangle(double c_x, double c_y, double s1, double s2, double s3, string col)
    : Shape(c_x,c_y,col,"Triangle"), a(s1), b(s2), c(s3)
{ }

double Triangle::area() const
{
    double s = (a + b + c) / 2.;	// semiperimeter
    return sqrt(s*(s-a)*(s-b)*(s-c));
}

int main()
{
    cout << setprecision(2) << fixed << left;
    Shape sh(4,5,"red");
    cout << sh << "  area = " << sh.area() << endl;
    cout << endl;

    Square sq1(1.0,2.0,3.1,"green");
    cout << sq1 << "  area = " << sq1.area() << endl;
    Square sq2(1.5,2.5,3.2,"lime green");
    cout << sq2 << "  area = " << sq2.area() << endl;
    Square sq3(6.7,0.0,3.3,"chartreuse");
    cout << sq3 << "  area = " << sq3.area() << endl;
    cout << endl;

    Circle c1(0.0,2.0,3.4,"blue");
    cout << c1 << "  area = " << c1.area() << endl;
    Circle c2(0.0,2.0,3.5,"peacock blue");
    cout << c2 << "  area = " << c2.area() << endl;
    Circle c3(0.0,2.0,3.6,"sapphire");
    cout << c3 << "  area = " << c3.area() << endl;
    cout << endl;

    Triangle t1(1.4,2.0,1.1,1.2,1.3,"red");
    cout << t1 << "  area = " << t1.area() << endl;
    Triangle t2(1.23,2.0,3,4,5,"cardinal red");
    cout << t2 << "  area = " << t2.area() << endl;
    Triangle t3(4.56,2.75,1,1,1,"crimson");
    cout << t3 << "  area = " << t3.area() << endl;
}