Auto merge of #85406 - VillSnow:integrate_binary_search, r=JohnTitor

Auto merge of #85406 - VillSnow:integrate_binary_search, r=JohnTitor

Integrate binary search codes of binary_search_by and partition_point

For now partition_point has own binary search code piece.
It is because binary_search_by had called the comparer more times and the author (=me) wanted to avoid it.

However, now binary_search_by uses the comparer minimum times. (#74024)
So it's time to integrate them.

The appearance of the codes are a bit different but both use completely same logic.