#include <SFML/Graphics.hpp>
#include <cmath>
#include <cstdlib>
#include <iostream>
#include <fstream>

using namespace std;

const float pi = 3.14159265359;

const int windowX = 1080;
const int windowY = 1080;

sf::Clock clock1;

class Circle1
{
public:
	sf::CircleShape circle;

	float radius;
	sf::Vector2f pos;

	float t = 0;		//	t is keeping track of the Lerp value between points
	int sign = 1;		//	can be 1 or -1

	Circle1()										//	Set default data
	{
		radius = windowX / 25;
		pos = sf::Vector2f(windowX / 2, windowY / 2);

		circle.setFillColor(sf::Color::Green);
		circle.setRadius(radius);
		circle.setOrigin(radius, radius);			//	Set the origin point to the center of the circle
		circle.setPosition(pos);
	}

	void draw(sf::RenderTarget& w, sf::Vector2f P0, sf::Vector2f P1, sf::Vector2f P2)
	{
		//	Formula for tracing the curve by the parameter "t" on both the X- and Y-Axis
		float BtX = (pow(1 - f(t), 2) * P0.x) + 2 * (1 - f(t)) * f(t) * P1.x + pow(f(t), 2) * P2.x;
		float BtY = pow(1 - f(t), 2) * P0.y + 2 * (1 - f(t)) * f(t) * P1.y + pow(f(t), 2) * P2.y;

		pos.x = BtX;		//	Set the position for the circle
		pos.y = BtY;

		circle.setPosition(pos);

		w.draw(circle);

		if (t >= 1)	sign = -1;			//	't' must be in range [0, 1]
		if (t <= 0) sign = 1;

		t += 0.0001f * sign;			//	Can set 0.0001f as a variable (For the slider)
	}

	float f(float t)
	{
		//return t;								//	Case 1
		//return pow(t, 2);						//	Case 2
		//return sqrt(t);						//	Case 3
		//return pow(sin(t * 0.5 * pi), 2);		//	Case 4
	}
};

class ControlPoint
{
public:
	sf::CircleShape cPoint;

	float radius;
	sf::Vector2f pos;

	ControlPoint(int posX, int posY)										//	Set default data
	{
		radius = windowX / 50;
		pos = sf::Vector2f(posX, posY);

		cPoint.setFillColor(sf::Color::Red);
		cPoint.setRadius(radius);
		cPoint.setOrigin(radius, radius);			//	Set the origin point to the center of the circle
		cPoint.setPosition(pos);
	}

	void draw(sf::RenderTarget& w)
	{
		w.draw(cPoint);
	}
};

int main()
{
	sf::RenderWindow window(sf::VideoMode(windowX, windowY), "Task2");

	Circle1 circle1;

	ControlPoint P0(100, 50);			//	Create new points
	ControlPoint P1(500, 250);
	ControlPoint P2(50, 500);

	circle1.pos = sf::Vector2f(100, 50);
	circle1.circle.setPosition(circle1.pos);

	while (window.isOpen())
	{
		sf::Event event;
		while (window.pollEvent(event))
		{
			if (event.type == sf::Event::Closed)
				window.close();
		}

		window.clear();

		circle1.draw(window, P0.pos, P1.pos, P2.pos);		//	Draw all shapes
		P0.draw(window);
		P1.draw(window);
		P2.draw(window);

		window.display();
	}
	return 0;
}