/// <summary>
/// Rotate the control points by the defined value in radians.
/// </summary>
/// <param name="value">The amount to rotate by in radians.</param>
public void Rotate(float value)
{
var rotation = Complex.FromAngle(value);
for (int i = 0; i < ControlPoints.Count; i++)
{
ControlPoints[i] = Complex.Multiply(ControlPoints[i], ref rotation);
}
}
/// <summary>
/// Get the interpolated transform at a specific time.
/// </summary>
/// <param name="xfb">The transform.</param>
/// <param name="beta">beta is a factor in [0,1], where 0 indicates alpha0.</param>
public void GetTransform(out Transform xfb, float beta)
{
xfb = new Transform();
xfb.p.X = (1.0f - beta) * C0.X + beta * C.X;
xfb.p.Y = (1.0f - beta) * C0.Y + beta * C.Y;
float angle = (1.0f - beta) * A0 + beta * A;
xfb.q.Phase = angle;
// Shift to origin
xfb.p -= Complex.Multiply(ref LocalCenter, ref xfb.q);
}
public static void Multiply(ref Transform left, Complex right, out Transform result)
{
result.p = Complex.Multiply(ref left.p, ref right);
result.q = Complex.Multiply(ref left.q, ref right);
}
public static Transform Multiply(ref Transform left, ref Transform right)
{
return(new Transform(
Complex.Multiply(ref left.p, ref right.q) + right.p,
Complex.Multiply(ref left.q, ref right.q)));
}
public static void Multiply(ref Transform left, Complex right, out Transform result)
{
result.Position = Complex.Multiply(ref left.Position, ref right);
result.Rotation = Complex.Multiply(ref left.Rotation, ref right);
}
public static Transform Multiply(ref Transform left, ref Transform right)
{
return(new Transform(
Complex.Multiply(ref left.Position, ref right.Rotation) + right.Position,
Complex.Multiply(ref left.Rotation, ref right.Rotation)));
}