#include <iostream.h>
#include <math.h>

const double PI = 3.1415926535897932;

// ---THE POINT CLASS---
class Point
{
	private:
		double x;
		double y;
	public:
		Point(double x=0, double y=0);
		double get_x() const;
		double get_y() const;
		void set_x(double x);
		void set_y(double y);
		void read();
		void print() const;
		void move(const Point &p);
		double dist(const Point &p) const;
};

// Constructor
Point::Point(double x, double y)
{
	this->x = x;
	this->y = y;
}

// Selectors
double Point::get_x() const
{
	return x;
}

double Point::get_y() const
{
	return y;
}

// Mutators
void Point::set_x(double x)
{
	this->x = x;
}

void Point::set_y(double y)
{
	this->y = y;
}

// Input and Output
void Point::read()
{
	cout<<"x = "; cin>>x;
	cout<<"y = "; cin>>y;
}

void Point::print() const
{
	cout<<"x = "<<x<<", y = "<<y<<endl;
}

// Functions
void Point::move(const Point &p)
{
	x += p.x;
	y += p.y;
}

double Point::dist(const Point &p) const
{
	return sqrt((x-p.x)*(x-p.x) + (y-p.y)*(y-p.y));
}


// ---THE CIRCLE CLASS---

class Circle
{
	private:
		Point center;
		double radius;
	public:
		Circle(Point, double r=0);
		Circle(double x=0, double y=0, double r=0);

		Point get_center() const;
		double get_center_x() const;
		double get_center_y() const;
		double get_radius() const;

		void set_center(const Point &o);
		void set_center_x(double x);
		void set_center_y(double y);
		void set_radius(double r);

		void read();
		void print() const;

		double surface() const;
		double perimeter() const;
		bool is_inside(const Point &p) const;
		void move(const Point &p);
		double dist(const Circle &c) const;
		void position(const Circle &c) const;
};

// Constructors
Circle::Circle(Point o, double r)
{
	center = o;
	radius = r;
}

Circle::Circle(double x, double y, double r):center(Point(x,y))
{
	radius = r;
}

// Selectors
Point Circle::get_center() const
{
	return center;
}

double Circle::get_center_x() const
{
	return center.get_x();
}

double Circle::get_center_y() const
{
	return center.get_y();
}

double Circle::get_radius() const
{
	return radius;
}

// Mutators
void Circle::set_center(Point const &o)
{
	center.set_x(o.get_x());
	center.set_y(o.get_y());
}

void Circle::set_center_x(double x)
{
	center.set_x(x);
}

void Circle::set_center_y(double y)
{
	center.set_y(y);
}

void Circle::set_radius(double r)
{
	radius = r;
}

// Input and Output
void Circle::read()
{
	cout<<"Center:"<<endl;
	center.read();
	cout<<"Radius = "; cin>>radius;
}

void Circle::print() const
{
	cout<<"Center:"<<endl;
	center.print();
	cout<<"Radius = "<<radius<<endl;
}

// Functions
double Circle::dist(const Circle &c) const
{
	return center.dist(c.get_center());
}

void Circle::move(const Point &p)
{
	center.move(p);
}

bool Circle::is_inside(const Point &p) const
{
	return center.dist(p)<=radius;
}

double Circle::surface() const
{
	return radius*radius*PI;
}

double Circle::perimeter() const
{
	return 2*radius*PI;
}

void Circle::position(const Circle &c) const
{
	double dis = center.dist(c.get_center()), d = dis - radius - c.get_radius();

	if (center.get_x() == c.get_center_x() && center.get_y() == c.get_center_y() && radius == c.get_radius())
		cout<<"Suvpadat";
	else if (center.get_x() == c.get_center_x() && center.get_y() == c.get_center_y())
		cout<<"Koncentrichni";
	else if (d<0 && dis+c.get_radius()<radius)
		cout<<"Vtorata e v purvata";
	else if (d<0 && dis+radius<c.get_radius())
		cout<<"Purvata e vuv vtorata";
	else if (d<0 && dis == fabs(radius-c.get_radius()) )
		cout<<"Dopirat se vutre6no";
	else if (d>0)
		cout<<"Ne se presichat";
	else if
			(d==0) cout<<"Dopirat se vunshno";
	else
			cout<<"Presi4at se";
}


// --- MAIN FUNCTION---

void main()
{
	Point a(1,0), b(2,0), c;
	
	/// Tests for Point
	cout<<"d = "<<a.dist(b)<<endl;
	c.read();
	c.print();
	cout<<"d = "<<c.dist(b)<<endl;
	cout<<endl;
	

	Circle c1(b,2), c2(1,0,1), c3;

	/// Tests for Circle
	c3.read();
	c1.print();
	c2.print();
	c3.print();

	c1.position(c2);
	cout<<endl<<"S = "<<c1.surface()<<"  P = "<<c2.perimeter()<<endl;
	c1.move(a);
	c1.position(c2);
	cout<<endl<<"d = "<<c2.dist(c3)<<endl;

	cout<<(c3.is_inside(c)?"Vutre e":"Ne e vutre");


	cout<<endl;
}