#include <kurator/engine/Point.h>

#include <cmath>


namespace kurator
{
namespace engine
{


double
Point::magnitude() const
{
	return std::sqrt(std::pow(x, 2) + std::pow(y, 2));
}


double
Point::distance(const Point& other) const
{
	return std::sqrt(std::pow(other.x - x, 2) + std::pow(other.y - y, 2));
}


double
Point::angle() const
{
	return std::atan2(y, x);  // (+x, _) is 0
}


Point
Point::rotate(const double angle) const
{
	return {
		x * std::cos(angle) - y * std::sin(angle),
		x * std::sin(angle) + y * std::cos(angle),
	};
}


Point
Point::scale(const double _scale) const
{
	return {x * _scale, y * _scale};
}


Point
Point::normalized() const
{
	return scale(1.0 / magnitude());
}


Point
Point::operator-(const Point& other) const
{
	return subtract(other);
}


Point
Point::operator+(const Point& other) const
{
	return {x + other.x, y + other.y};
}


Point
Point::subtract(const Point& other) const
{
	return {x - other.x, y - other.y};
}


Point
Point::subtract(const double _x, const double _y) const
{
	return {x - _x, y - _y};
}


}  // namespace engine
}  // namespace kurator