Trying to manage vector and Euler angle

regie · February 8, 2024, 10:41pm

Hi

For a plugin I’m working on, I need to align component along an edge using the red axes component.

Here I’am, I have the edge as a vector

edge_vector = edge.end.position - edge.start.position

I’Am able to get axes projections

projection_on_red_axis = edge_vector.dot(X_AXIS)
projection_on_green_axis = edge_vector.dot(Y_AXIS)
projection_on_blue_axis = edge_vector.dot(Z_AXIS)

But I’m not able to math it to the right angle an align component would have.

I already tried many many method to do it but no one match.

I do want to understand it cause it is the second time I have to deal with euler angle and it’s a pain for me.

If someone can help

Thank’s a lot

DanRathbun · February 9, 2024, 12:07am

If you had searched the Ruby API subcategory on “euler”, you would have found this:

github.com

Eneroth3/sketchup-community-lib/blob/master/modules/geom/transformation.rb#L85-L123


      
          # Calculate extrinsic, chained XYZ rotation angles for transformation.
          #
          # Scaling, shearing and translation are all ignored.
          #
          # Note that rotations are not communicative, meaning the order they are
          # applied in matters.
          #
          # @param transformation [Geom::Transformation]
          #
          # @example
          #   # Compose and Decompose Euler Angle Based Transformation
          #   x_angle = -14.degrees
          #   y_angle = 7.degrees
          #   z_angle = 45.degrees
          #   transformation = Geom::Transformation.rotation(ORIGIN, Z_AXIS, z_angle) *
          #     Geom::Transformation.rotation(ORIGIN, Y_AXIS, y_angle) *
          #     Geom::Transformation.rotation(ORIGIN, X_AXIS, x_angle)
          #   angles = SkippyLib::LGeom::LTransformation.euler_angles(transformation)
          #   angles.map(&:radians)
          #

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regie · February 9, 2024, 12:29am

Thank’s Dan

In fact it’s been few days I’m searching, I found many people talking about it and
I already found this but it’s not so clear for me and I don’t know how to use it.

I read the exemple but I’m still note able to mange it.

But thanks to you I’m back on the track.