class Vector2D

The Vector2D class encapsulates a 2D vector.

class Vector2D : public Vec2D<TypeVector2D>

Vector2D::Set	Sets both components of a vector.
Vector2D::Normalize	Normalizes a 2D vector.
Vector2D::Rotate	Rotates a vector in the x-y plane.

Vector2D();

Vector2D(float a, float b);

template <typename type> explicit Vector2D(const Vec2D<type>& v);

a	The value of the x coordinate.
b	The value of the y coordinate.
v	Another 2D vector, possibly with a different component type, that is converted to a Vector2D.

The Vector2D class is used to store a two-dimensional direction vector having floating-point components x and y. A direction vector stored in this class is assumed to have a w coordinate of 0 whenever it needs to be converted to a four-dimensional representation. Two-dimensional points (for which the w coordinate is 1) should be stored using the Point2D class. The z coordinate of a 2D vector is always assumed to be 0.

The default constructor leaves the components of the vector undefined. If the values a and b are supplied, then they are assigned to the x and y coordinates of the vector, respectively.

float& operator [](machine k);	Returns a reference to the k-th scalar component of a vector. The value of k must be 0 or 1.
const float& operator [](machine k) const;	Returns a constant reference to the k-th scalar component of a vector. The value of k must be 0 or 1.
Vector2D& operator +=(const Vector2D& v);	Adds the vector v.
Vector2D& operator -=(const Vector2D& v);	Subtracts the vector v.
Vector2D& operator *=(const Vector2D& v);	Calculates the componentwise product with the vector v.
Vector2D& operator *=(float n);	Multiplies by the scalar n.
Vector2D& operator /=(float n);	Divides by the scalar n.

bool operator ==(const Vector2D& v1, const Vector2D& v2) const;	Returns a boolean value indicating whether the two vectors v1 and v2 are equal.
bool operator !=(const Vector2D& v1, const Vector2D& v2) const;	Returns a boolean value indicating whether the two vectors v1 and v2 are not equal.
Vector2D operator -(const Vector2D& v) const;	Returns the negation of the vector v.
Vector2D operator +(const Vector2D& a, const Vector2D& b) const;	Returns the sum of the vectors a and b.
Vector2D operator -(const Vector2D& a, const Vector2D& b) const;	Returns the difference of the vectors a and b.
Vector2D operator *(const Vector2D& v, float n) const;	Returns the product of the vector v and the scalar n.
Vector2D operator *(float n, const Vector2D& v);	Returns the product of the vector v and the scalar n.
Vector2D operator /(const Vector2D& v, float n) const;	Returns the product of the vector v and the inverse of the scalar n.
Vector2D operator *(const Vector2D& a, const Vector2D& b) const;	Returns the componentwise product of the vectors a and b.
float Magnitude(const Vector2D& v);	Returns the magnitude of the vector v.
float InverseMag(const Vector2D& v);	Returns the inverse magnitude of the vector v.
float SquaredMag(const Vector2D& v);	Returns the squared magnitude of the vector v.
float Dot(const Vector2D& a, const Vector2D& b);	Returns the dot product between a and b.
Vector2D Project(const Vector2D& a, const Vector2D& b);	Returns (a ⋅ b)b, which is the projection of a onto b under the assumption that the magnitude of b is one.
Vector2D Reject(const Vector2D& a, const Vector2D& b);	Returns a − (a ⋅ b)b, which is the rejection of a from b under the assumption that the magnitude of b is one.

Vec2D

Vectors use a generic base class to store their components.

Point2D

Vector4D