/// <summary>
/// <para>
/// Rotates a vector about the origin by an angle given in Radians
/// radians.
/// </para>
/// <para>
/// A point (x,y) can be rotated around the origin (0,0) by running it through the following equations
/// to get the new point (x',y'):
/// x' = cos(theta)*x - sin(theta)*y
/// y' = sin(theta)*x + cos(theta)*y
/// where theta is the angle by which to rotate the point.
/// </para>
/// </summary>
/// <param name="radians">
/// System.Double for the rotation angle in radians.
/// </param>
/// <returns>
/// Vector representing the newly rotated vector.
/// </returns>
public Vector Rotate(double radians)
{
var newVector = new Vector(Math.Cos(radians)*X - Math.Sin(radians)*Y,
Math.Sin(radians)*X + Math.Cos(radians)*Y);
return newVector;
}
/// <summary>
/// <para>
/// Helper function that adds the components values of
/// a point to an existing vector and returns the result
/// as a new Point.
/// </para>
/// </summary>
/// <param name="point">
/// System.Drawing.Point containing x,y components to add to vector.
/// </param>
/// <param name="vector">
/// Vector containing x,y components to be added to point
/// </param>
/// <returns>
/// System.Drawing.Point of the combined x,y components of vector and point.
/// </returns>
public static Point Add(Point point, Vector vector)
{
return new Point(point.X + (int) vector.X, point.Y + (int) vector.Y);
}
/// <summary>
/// <para>
/// Rotates a vector about the origin by an angle given in Radians
/// radians.
/// </para>
/// <para>
/// A point (x,y) can be rotated around the origin (0,0) by running it through the following equations
/// to get the new point (x',y'):
/// x' = cos(theta)*x - sin(theta)*y
/// y' = sin(theta)*x + cos(theta)*y
/// where theta is the angle by which to rotate the point.
/// </para>
/// </summary>
/// <param name="radians">
/// System.Double for the rotation angle in radians.
/// </param>
/// <returns>
/// Vector representing the newly rotated vector.
/// </returns>
public Vector Rotate(double radians)
{
Vector newVector = new Vector( Math.Cos(radians) * x - Math.Sin(radians) * y,
Math.Sin(radians) * x + Math.Cos(radians) * y);
return newVector;
}