#include "Triangle.h"
#include <limits>

Triangle::Triangle(int x1, int y1, int x2, int y2, int x3, int y3) : Shape(3)
{
	setPoint(0, x1, y1);
	setPoint(1, x2, y2);
	setPoint(2, x3, y3);
}
double Triangle::getArea() const
{
	Shape::point p1 = getPointAtIndex(0);
	Shape::point p2 = getPointAtIndex(1);
	Shape::point p3 = getPointAtIndex(2);

	return abs(p1.x*p2.y + p2.x*p3.y + p3.x*p1.y - p1.y * p2.x - p2.y*p3.x - p3.y*p1.x) / 2.00;
}
double Triangle::getPer() const
{
	Shape::point p1 = getPointAtIndex(0);
	Shape::point p2 = getPointAtIndex(1);
	Shape::point p3 = getPointAtIndex(2);

	return p1.getDist(p2) + p2.getDist(p3) + p3.getDist(p1);
}

bool Triangle::isPointIn(int x, int y) const
{
	Shape::point p(x, y);
	Triangle t1(getPointAtIndex(0).x, getPointAtIndex(0).y, getPointAtIndex(1).x, getPointAtIndex(1).y, p.x, p.y);
	Triangle t2(getPointAtIndex(2).x, getPointAtIndex(2).y, getPointAtIndex(1).x, getPointAtIndex(1).y, p.x, p.y);
	Triangle t3(getPointAtIndex(2).x, getPointAtIndex(2).y, getPointAtIndex(0).x, getPointAtIndex(0).y, p.x, p.y);

	return abs(t1.getArea() + t2.getArea() + t3.getArea() - getArea()) <= std::numeric_limits<double>::epsilon();

}

Shape* Triangle::clone() const
{
	Shape* copy = new Triangle(*this);
	return copy;
}