[eigen] Creating a EulerAngle object

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Hello,
 
I usually try to avoid using euler angle in my code for many reasons that you all know. However, I have so much place in my GUIs and configuration files that user can input angles using the well-known roll-pitch-yaw representation. Currently, I must use a Vector3d to store these angles, and then as soon as I can I convert them in a more programmatically convenient representation (e.g. quaternion). However, in the glue code between the configuration object and the actual algorithm, I always have to explicitely use angleVector[0], angleVector[1] and angleVector[2] to respectively access to roll, pitch and yaw. I would like to create a new EulerAngle (or more precisely RollPitchYaw) object to make this less error prone. My requirements are:
 
1. Create a EulerAngle object from scalars Roll, Pitch and Yaw, or any other rotation object (Matrix3d, Quaternion, AngleAxis, ...);
2. Convert the EulerAngle to any other rotation object;
3. Access to internal angles with named method such as: roll(), pitch() and yaw(), or maybe rx(), ry(), rz();
4. (Nice to have) Be able to use the EulerAngle in any rotation arithmetic (e.g. result = quaterion1 * eulerAngle * affine3d);
 
Looking the at the page "Extending Eigen" (http://eigen.tuxfamily.org/dox-devel/TopicCustomizingEigen.html), i'm not really sure that I want to inherit directly from Matrix and then re-implement everything. I guess the good way is to inherit from RotationBase much the same way as the Quaternion object. Am I wrong?
 
Thank you,
 
------------------------------------
Philippe Hamelin
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