Vector2d.h

#pragma once

#include <cfloat>
#include <climits>
#include <cmath>

/*The Vector2d class is an object consisting of simply an x and
y value. Certain operators are overloaded to make it easier
for vector math to be performed.*/

class Vector2d {
public:
	/*The x and y values are public to give easier access for
	outside funtions. Accessors and mutators are not really
	necessary*/
	float x;
	float y;

	//Constructor assigns the inputs to x and y.
	Vector2d();
	Vector2d(float, float);

	/*The following operators simply return Vector2ds that
	have operations performed on the relative (x, y) values*/
	Vector2d operator+(const Vector2d&) const;
	Vector2d operator-(const Vector2d&) const;
	Vector2d operator*(const Vector2d&) const;
	Vector2d operator/(const Vector2d&) const;

	//Check if the Vectors have the same values.
	bool operator==(const Vector2d&) const;

	/*Check which Vectors are closer or further from the
	origin.*/
	bool operator>(const Vector2d&) const;
	bool operator<(const Vector2d&) const;
	bool operator>=(const Vector2d&) const;
	bool operator<=(const Vector2d&) const;

	//Negate both the x and y values.
	Vector2d operator-() const;

	//Apply scalar operations.
	Vector2d operator*(const float&) const;
	Vector2d operator/(const float&) const;

	//Product functions
	static float DotProduct(const Vector2d&, const Vector2d&);
	static float CrossProduct(const Vector2d&, const Vector2d&);

	//Returns the length of the vector from the origin.
	static float Magnitude(const Vector2d&);

	//Returns the angle of direction of the vector.
	float direction();

	//Return the unit vector of the input.
	static Vector2d Normal(const Vector2d&);

	//Return a vector perpendicular to the left.
	static Vector2d Perpendicular(const Vector2d&);

	//Return true if two line segments intersect.
	static bool Intersect(const Vector2d&, const Vector2d&, const Vector2d&, const Vector2d&);

	//Return the point where two lines intersect.
	static Vector2d GetIntersect(const Vector2d&, const Vector2d&, const Vector2d&, const Vector2d&);
};