/// <summary>
/// Used to subtract a Vector2ii from another Vector2ii.
/// </summary>
/// <param name="left"></param>
/// <param name="right"></param>
/// <returns></returns>
public static Vector2i Subtract(Vector2i left, Vector2i right)
{
return(left - right);
}
/// <summary>
/// Used to negate the elements of a vector.
/// </summary>
/// <param name="left"></param>
/// <returns></returns>
public static Vector2i Negate(Vector2i left)
{
return(-left);
}
/// <summary>
/// Used when a Vector2ii is multiplied by a scalar value.
/// </summary>
/// <param name="left"></param>
/// <param name="scalar"></param>
/// <returns></returns>
public static Vector2i Multiply(Vector2i left, int scalar)
{
return(left * scalar);
}
/// <summary>
/// Used when a scalar value is multiplied by a Vector2ii.
/// </summary>
/// <param name="scalar"></param>
/// <param name="right"></param>
/// <returns></returns>
public static Vector2i Multiply(int scalar, Vector2i right)
{
return(scalar * right);
}
/// <summary>
/// Used when a Vector2ii is divided by another vector.
/// </summary>
/// <param name="left"></param>
/// <param name="right"></param>
/// <returns></returns>
public static Vector2i Divide(Vector2i left, Vector2i right)
{
return(left / right);
}
/// <summary>
/// Used when a Vector2ii is added to another Vector2ii.
/// </summary>
/// <param name="left"></param>
/// <param name="right"></param>
/// <returns></returns>
public static Vector2i Add(Vector2i left, Vector2i right)
{
return(left + right);
}
/// <summary>
/// Used to divide a vector by a scalar value.
/// </summary>
/// <param name="left"></param>
/// <param name="scalar"></param>
/// <returns></returns>
public static Vector2i Divide(Vector2i left, int scalar)
{
return(left / scalar);
}
/// <summary>
/// Used when a Vector2ii is multiplied by another vector.
/// </summary>
/// <param name="left"></param>
/// <param name="right"></param>
/// <returns></returns>
public static Vector2i Multiply(Vector2i left, Vector2i right)
{
return(left * right);
}
public static Real Dot(Vector2i p0, Vector2i p1)
{
return(p0.Dot(p1));
}
/// <summary>
/// Calculates the 2 dimensional dot-product of 2 vectors,
/// which is equal to the cosine of the angle between the vectors, times the lengths of each of the vectors.
/// A.Dot(B) == |A| * |B| * cos(fi)
/// </summary>
/// <param name="vector"></param>
/// <returns></returns>
public Real Dot(Vector2i vector)
{
return(this.X * vector.X + this.Y * vector.Y);
}
/// <summary>
/// Calculates the 2 dimensional cross-product of 2 vectors, which results
/// in a Real value which is 2 times the area of the triangle
/// defined by the two vectors. It also is the magnitude of the 3D vector that is perpendicular
/// to the 2D vectors if the 2D vectors are projected to 3D space.
/// </summary>
/// <param name="vector"></param>
/// <returns></returns>
public Real Cross(Vector2i vector)
{
return(this.X * vector.Y - this.Y * vector.X);
}