// A1Q4.CPP
#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;

class Point {
	float X, Y;
public:
	void setPoint(float x, float y);
	float getX();
	float getY();
};
class Circle {
	float A, B, R;
public:
	void setCircle(float a, float b, float r);
	void positionPointCircle(Circle c, Point p);
	void position2Circles(Circle c1,Circle c2);
	float getA();
	float getB();
	float getR();
};

void Circle::setCircle(float a, float b, float r)
	{
		A=a;B=b;R=r;
	}

void Circle::positionPointCircle(Circle c, Point p)
	{
		float temp1 = (float)(pow(c.getA()-p.getX(),2) + pow(c.getB() - p.getY(),2));
		float temp2 = (float)pow(c.getR(),2);
		if (temp1 < temp2) // compare the distance between the centre and the point
			cout << "The point is inside the circle.";
		else if (temp1 == temp2)
			cout << "The point is on the circle.";
		else if (temp1 > temp2)
			cout << "The point is outside the circle.";
		else
			cout << "Error.";

		cout << endl;
	};

float Point::getX()
	{
		return X;
	};

float Point::getY()
	{
		return Y;
	};
float Circle::getA()
	{
		return A;
	};
float Circle::getB()
	{
		return B;
	};
float Circle::getR()
	{
		return R;
	};
void position2Circles(Circle c1,Circle c2)
	{
		float temp1 = sqrt(pow(c1.getA()-c2.getA(),2) + pow(c1.getB()- c2.getB(), 2));
		float temp2 = c1.getR() + c2.getR();

		if (temp1 == temp2) // comepare the distance between two centres and the ridius
			cout << "One circle is (outside) tangent to the other.";
		else if (temp1 < temp2)
			if (temp1 == abs(c1.getR() - c2.getR()))
				cout << "One circle is (inside) tangent to the other.";
			else
				cout << "Two circles are cross each other.";
		else if (temp1 > temp2)
			cout << "There is no cross between two circle.";
		else
			cout << "Error";
		cout << endl;
		
	};

void Point::setPoint(float x, float y)
	{
		X=x;Y=y;
	};

int main()
{
	float a,b,r;
	float x,y;
	short i;
	
	cout << "1. Given a Point and a circle, check to see if a Point is inside the circle, on the circle or outside the circle.\n";
	cout << "2. Given 2 circles, check to see if one circle is inside the other or tangent to it.\n";
	cout << "Please choose the function (1 or 2):";
	cin >> i;

	if (i==1)
		{
			Circle circle1;
			Point Point1;

			cout << "Please input the centre and ridius of the circle (a, b, r): ";
			cin >> a >> b >> r;
			circle1.setCircle(a,b,r);

			cout << "Please input the Point (x, y): ";
			cin >> x >> y;
			Point1.setPoint(x,y);

			circle1.positionPointCircle(circle1,Point1);

		}
	else if (i==2)
		{	
			Circle circle1,circle2;

			cout << "Please input the centre and ridius of the 1st circle (a, b, r): ";
			cin >> a >> b >> r;
			circle1.setCircle(a,b,r);

			cout << "Please input the centre and ridius of the 2nd circle (a, b, r): ";
			cin >> a >> b >> r;
			circle2.setCircle(a,b,r);

			position2Circles(circle1,circle2);
		}
	return 0;
}