TBC Macros and Extensions

Currently I'm doing it the following way, result is correct, just wondering if there is a one-liner for it.

                            centerp = o.OriginOfUcs
                            nv = o.Normal.Clone()
                            # will only work if Normal != 0, 0, 1
                            vx = nv.Clone()
                            # rotate 90 degrees around world-Z axis and make it level with world horizon
                            vx.RotateAboutZ(math.pi/2)
                            vx.Horizon = 0
                            # don't really need vy here - do it anyway
                            # clone the axis and rotate it 90 degrees around Normal
                            vy = vx.Clone()
                            vy.Rotate(BiVector3D(nv, math.pi/2))
                            # vx, vy and Normal are now square to each other
                            
                            # compute matrix to line up UCS-X,Z with World-X,Z axis
                            rottozero = Spinor3D.ComputeRotation(vx, nv, Vector3D(1,0,0), Vector3D(0,0,1))
                            # transformation to 0, 0, 0
                            #matrixtozero = Matrix4D.BuildTransformMatrix(Vector3D(centerp), Vector3D(centerp, Point3D(0, 0, 0)), rottozero, Vector3D(1,1,1))
                            #matrixbackfromzero = Matrix4D.Inverse(matrixtozero)
                            # transformation without shift - just flatten it
                            matrixtoflat = Matrix4D.BuildTransformMatrix(Vector3D(centerp), Vector3D(0, 0, 0), rottozero, Vector3D(1,1,1))
                            matrixbackfromflat = Matrix4D.Inverse(matrixtoflat)

Is there a built-in function to compute the Matrix4D between a Normal vector and World?

I've tried,

Plane3D.GetTransformMatrix(o.Normal)

as shown in the ConvertToLinestring sample macro, but the result is wrong.

------------------------------
Ronny Schneider
------------------------------

I'm guessing you tried the Matrix constructor (point, vector, vector)?
In this case, I believe the Z would be the Normal and Point3D.Zero as the origin. 

                            centerp = o.OriginOfUcs                            nv = o.Normal.Clone()                            # will only work if Normal != 0, 0, 1                            vx = nv.Clone()                            # rotate 90 degrees around world-Z axis and make it level with world horizon                            vx.RotateAboutZ(math.pi/2)                            vx.Horizon = 0                            # don't really need vy here - do it anyway                            # clone the axis and rotate it 90 degrees around Normal                            vy = vx.Clone()                            vy.Rotate(BiVector3D(nv, math.pi/2))                            # vx, vy and Normal are now square to each other                                                        # compute matrix to line up UCS-X,Z with World-X,Z axis                            rottozero = Spinor3D.ComputeRotation(vx, nv, Vector3D(1,0,0), Vector3D(0,0,1))                            # transformation to 0, 0, 0                            #matrixtozero = Matrix4D.BuildTransformMatrix(Vector3D(centerp), Vector3D(centerp, Point3D(0, 0, 0)), rottozero, Vector3D(1,1,1))                            #matrixbackfromzero = Matrix4D.Inverse(matrixtozero)                            # transformation without shift - just flatten it                            matrixtoflat = Matrix4D.BuildTransformMatrix(Vector3D(centerp), Vector3D(0, 0, 0), rottozero, Vector3D(1,1,1))                            matrixbackfromflat = Matrix4D.Inverse(matrixtoflat)

Plane3D.GetTransformMatrix(o.Normal)