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Inspired by bpo-44946, I found there were no special shortcuts for shifting operation applied to "medium value" long object. So I modified CPython's VM to accelerate my python project where there is plenty of binary shifting operation. I guess somebody else might also need it.
Two separate significant improvements have been pushed: thanks, Xinhang Xu!
The original PR also contained a reworking of the general case for right-shifting a negative integer. The current code (in main) for that case does involve some extra allocations, and it ought to be possible to write something that doesn't need to allocate temporary PyLongs.