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mat2 should applied before y,z axis flipping
If you look at the original code, world_coords[0], world_coods[1], world_coods[2] has been normalized by
world_coords[3], but itself not normalized to 1.0f. Then mat2 is applied to world_coods directly, so you will get distored result. See my closed pull request #1015.
On the other hand, y or z axis flipping operation should be applied after mat2.