Faster remainders when the divisor is a constant: beating compilers and libdivide
Daniel Lemire
FEBRUARY 8, 2019
The division by a power of two ( / (2 N )) can be implemented as a right shift if we are working with unsigned integers, which compiles to single instruction: that is possible because the underlying hardware uses a base 2. Thus if 2 N / d has been precomputed, you can compute the division n/d as a multiplication and a shift.
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