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And I think something for uniformity would be great. If you can come up with some heuristic, would be a nice start. Doesn't have to be rigorous, just protest against a bad fail case. Some ideas (that work with large # of rotations)
project to the three coordinates used to plot on sphere. Check roughly same amount above/below, through the three axes (up/down; left/right; front/back)
convert to some encoding (Euler angles???) and check stats on those encoding (I think two Euler angles (ZYZ or ZXZ) are uniform and one is not)
integrate with an even function (e.g. x2 + y2 + z2) that should be double the integration on half. If the function is odd (e.g. x3 + y3 + z3) it should integrate to roughly one.
even: (axis_3_vectors[half_idx]**2).sum() is close 2*axis_3_vectors.sum()
odd: (axis_3_vectors[half_idx]**3).sum() is close 0
The text was updated successfully, but these errors were encountered:
For orthonormality
And I think something for uniformity would be great. If you can come up with some heuristic, would be a nice start. Doesn't have to be rigorous, just protest against a bad fail case. Some ideas (that work with large # of rotations)
The text was updated successfully, but these errors were encountered: