/// <summary>
/// Scalar multiplies a vector by a real number
/// </summary>
/// <param name="number">Scale number</param>
/// <param name="vector">The vector witch we scalarly multiply</param>
/// <returns>Scaled vector</returns>
private static Vector ScalarMultiply(double number, Vector vector)
{
double x = Math.Abs(number) * vector.X;
double y = Math.Abs(number) * vector.Y;
double value = Math.Sqrt(x * x + y * y);
Vector result = new Vector(value, vector.angle);
if (number < 0)
return -result;
else
return result;
}
/// <summary>
/// Draw an arrow representing the vector
/// </summary>
/// <param name="g">A graphics object to be used to draw the arrow</param>
/// <param name="location">A point where to draw the beginong of the arrow</param>
/// <param name="color">A color in witch the arrow will be drawn in</param>
/// <param name="pen">A pen used for draing the line representing the vector</param>
public void Draw(Graphics g, Point location, Color color, Pen pen)
{
Vector start = new Vector(location);
Vector end = start + this;
PointF startPopint = new PointF((float)start.X, (float)start.Y);
PointF endPoint = new PointF((float)end.X, (float)end.Y);
g.DrawLine(pen, startPopint, endPoint);
}
/// <summary>
/// Adds two vectors
/// </summary>
/// <param name="vector1">First vector</param>
/// <param name="vector2">Second vector</param>
/// <returns>The resulting vector from the addition</returns>
private static Vector Addition(Vector vector1, Vector vector2)
{
double x = vector1.X + vector2.X;
double y = vector1.Y + vector2.Y;
double value = Math.Sqrt(x * x + y * y);
double angle = Math.Atan2(y, x);
Vector result = new Vector(value, angle);
return result;
}
//the oposite vector of this vector
public static Vector operator -(Vector vector)
{
Vector result = new Vector(vector.Value, Math.PI + vector.Angle); // 180 + angle is the opposite angle
return result;
}