[VBA CE] Rotate AboutXAboutYAboutZ from given angle of each view

Hi,

clever_anthony said:

However, I have no idea to make correct angles of each view when 3 axis.

My general method to rotate the element: (wrong)

I am not sure if I understand your situation right, because a contradiction exists in your question: You are not sure about "angles of each view", but in your code, you rotate an element.

Do you want to defined a view, so the element in "base position" looks rotated in the defined ways, or you want to rotate the element three times to display it in the three defined positions?

clever_anthony said:

it is very common to see 3 rotation angles.

The question is in what rotation angles are you interested in. Euler angles, mentioned by Jon, are widely used and well defined concept, but from your picture it seems you are interested in some "other angles" (Euler angles are not perpendicular, whether your picture is expressed in a standard top/front/side way).

clever_anthony said:

My general method to rotate the element: (wrong)

Yes, it is wrong, because e.g. when an object should be rotated 20° around X and 30° around Y, it cannot be constructed like rotate around X and after that rotate around Y. Look e.g. this (I think every nice) video.

With regards,

  Jan

Jan Šlegr said:

You are not sure about "angles of each view", but in your code, you rotate an element.

The Government would like to prompt BIM and they took some as-built examples to consultant and requested them to built in 3D Model with Revit.  So, I would like to make sure that is the limitation of Revit or that is a unsolvable problem.

Jan Šlegr said:

Do you want to defined a view, so the element in "base position" looks rotated in the defined ways, or you want to rotate the element three times to display it in the three defined positions?

From the as-built drawing, they provided the Top View, Front View and  Right View and the required Angle (or inclination). That "looks" very nice because 3 dimensional view should have enough information to form a 3D model. But I cannot find the way to create directly / rotate element to satisfy the requirement of 3 views. 

Jan Šlegr said:

The question is in what rotation angles are you interested in

I am interested in how to know the rotation angles when you have a given answer from 3 views. It is because when you rotate second times about another axis, the original wanted rotation angle will lose. Matrix Term, the formula provide you only new XYZ and rotation angle, but I don't know both of them and I have only 3 rotation angles from 3 different views.

clever_anthony said:

So, I would like to make sure that is the limitation of Revit or that is a unsolvable problem.

Why do you think its a limitation of Revit, or even unsolvable (in what exactly)?

clever_anthony said:

But I cannot find the way to create directly / rotate element to satisfy the requirement of 3 views. 

Like this example, where rotation around X = 30°, Y=45° and Z= 60°?

First I do the rotations manually, then automated and you will note that the rotations are not done around 0,0,0 either:

Its quite straight-forward if you keep the Matrix rotations separated and performed in the correct sequence.

Barry Lothian said:

Why do you think its a limitation of Revit, or even unsolvable (in what exactly)?

There are lots of incorrect parametric Revit models compared with the original 2D Drawings. You can review how worse of the BIM Object are incorrectly modeled and published on the Government webpage. For example, soil nails modeling cannot satisfy the 50mm cover between the head the bar. So, I think that there must be some limitations with 3 fixed rotation in Revit. I even cannot draw a correct line with Microstation.

Barry Lothian said:

rotation around X = 30°, Y=45° and Z= 60°?

Um.... you have rotated element, but what I am looking for is how to find the rotations from the result, e.g. After rotations, from Top View you can see that is Z=60, Front View you can see that is y=45, and on the Right View X=30. That should be a reverse engineering to track back the rotations and orders.

Hi,

the following code example may help to understand how a single transformation (matrices + pivot point) can be created from 3 rotations about x,y and z in a single step.
A rotation can be expressed with a rotation matrix and several rotation matrices combined with a pivot results in a transformation.

Hope that helps.

Best regards,

Artur

Example to rotate selected elements about point (0,0,0) in x (30°),y (45°) and z (60°) direction in a single step:

Sub RotateElementExample()
Dim ee As elementEnumerator
Dim oEle As Element
Dim matX As Matrix3d
Dim matY As Matrix3d
Dim matZ As Matrix3d
Dim mat As Matrix3d
Dim trans As Transform3d
Dim pPivot As Point3d
Set ee = ActiveModelReference.GetSelectedElements
Do While ee.MoveNext
    If ee.Current.IsGraphical Then
        Set oEle = ee.Current
        
        'Matrix3dFromAxisAndRotationAngle (Axis, Radians)
        
        'rotate about z-axis 30°:
        matX = Matrix3dFromAxisAndRotationAngle(0, Radians(30)) ' The axis index 0=x, 1=y, 2=z
        
        'rotate about y-axis 45°:
        matY = Matrix3dFromAxisAndRotationAngle(1, Radians(45)) ' The axis index 0=x, 1=y, 2=z
        
        'rotate about x-axis 60°:
        matZ = Matrix3dFromAxisAndRotationAngle(2, Radians(60)) ' The axis index 0=x, 1=y, 2=z
        
        'multiply the 3 matrices to combine the rotation to single step
        
        mat = Matrix3dFromMatrix3dTimesMatrix3dTimesMatrix3d(matX, matY, matZ)
        
        ' Add a Pivot point to the matrix and the transformation is ready and can be applied to the element:
        pPivot = Point3dFromXYZ(0, 0, 0)
        
        ' Define Transformation from Matrix and Pivot point
        trans = Transform3dFromMatrix3dAndFixedPoint3d(mat, pPivot)
        
        ' Apply transformation
        oEle.Transform trans
        oEle.Rewrite
        
    End If
Loop
End Sub

clever_anthony said:

but what I am looking for is how to find the rotations from the result

In future, it would be advisable to make that aim absolutely clear in both the thread subject and original post, currently neither does that.

clever_anthony said:

There are lots of incorrect parametric Revit models compared with the original 2D Drawings.

The same can be said of drawings or models made in any software, ultimately it depends on the knowledge and ability of the user.

clever_anthony said:

For example, soil nails modeling cannot satisfy the 50mm cover between the head the bar. So, I think that there must be some limitations with 3 fixed rotation in Revit.

I'm not sure of what the specific issue you refer to is, but typically many Revit families are hosted onto a system family, e.g. Window/Door onto a wall. You can place families in unhosted but knowing how it should be orientated is not easy. In the case of the Soil Nails, I imagine they would be modelled parallel to XYZ axis (or View Side, Front, Top) with rotation parameters added as necessary to flex the family. However, if its placed unhosted, how do you define the directional vector which represents the YZ (for example) plane of the Soil Nail installed into the ground? I think you need to be provide some clarity on what the perceived issue is.

clever_anthony said:

I even cannot draw a correct line with Microstation.

Likewise, clarify what problem you are having

Barry Lothian said:

In future, it would be advisable to make that aim absolutely clear in both the thread subject and original post, currently neither does that.

Barry Lothian said:

Likewise, clarify what problem you are having

Barry Lothian said:

Like this example, where rotation around X = 30°, Y=45° and Z= 60°?

Is the topic not clear? Ok.... I simplify it into a line. Forget about the 3d solid. I want to create a line from point(0,0,0) to somewhere. And then rotate the view, Flatten direction to view will be like that:

Question: where should be the second point of the line?

clever_anthony said:

Is the topic not clear?

I think you can see its not as Artur did exactly what I did.

clever_anthony said:

Question: where should be the second point of the line?

The answer to that depends on the length of the line. I can't give you an answer via a programmatical solution but its quite easy enough to work out manually, just draw 3 different lines, extrude them using Extrude Surface and you can find the Line by using Planar Slice (By Element)

Thanks, I can now get the point first by program and then normalize the vector. When you have the destination point, and then you can calculate the Direction and Elevation angle, so actually we don't need three rotations in this case.

Thanks, I can now get the point first by program and then normalize the vector. When you have the destination point, and then you can calculate the Direction and Elevation angle, so actually we don't need three rotations in this case.