X,Y,Z rotations of a plane in degrees relative to CPlane (Python)

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Permalink Reply by Nicolo Bencini on November 19, 2015 at 12:54pm

I figured it out:

you can find the transformation matrix by using:

rotMatrix = rs.XformChangeBasis (targetPlane, basePlane)

It is then possible to find the rotations using the equations below which are adapted from a c# component written by Daniel Piker (http://www.grasshopper3d.com/forum/topics/plane-rotations-x-y-z-a-b...) :

xRotation = math.degrees(math.atan2(rotMatrix[2,1], rotMatrix[2,2]));

yRotation = math.degrees(-math.atan2(rotMatrix[2,0], math.sqrt(rotMatrix[2,1] * rotMatrix[2,1] + rotMatrix[2,2] * rotMatrix[2,2])));
zRotation = math.degrees(math.atan2(rotMatrix[1,0], rotMatrix[0,0]));

print xRotation 
print yRotation 
print zRotation

I have attached a file with the definition

Attachments:

• Euler Angles (YawPitchRoll).gh, 8 KB