Can a wavelet be used with SIMD 128bit operations? Or are they used with 4x4 Matrix operators? Are wavelets good for that kind of math?
Popcount works great in this context, but that only gives you linear speedups. Doing rank/select in O(1) instead of O(N) is a bigger win, and you get that by precomputing superblocks.
> Or are they used with 4x4 Matrix operators? Are wavelets good for that kind of math?
Nope, different kind of matrix. Just refers to a nicer packing of a wavelet tree with space wasted by bookkeeping pointers between tree nodes.