Implement reduce_product() - #361
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Shnatsel wants to merge 6 commits into
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…o 33% boost for 16-bit
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std::simdin precision (same number of roundings), but uses a more SIMD-friendly multiplication order. It uses the same order across all backends. The implementation is similar toreduce_sum().The result is not guaranteed to be equal to
v.to_slice().sum(), but that is only achievable with fully scalar multiplication;std::simdscalarizes to uphold this behavior which it doesn't even document.Unlike #357 we can't reduce precision loss to log2(N) rather than N, at least not without complex algorithms that compute the precise sum in one rounding by separately accounting for the accumulated error. A precise variant which does that could be added later.
This is the final part of #340. Closes #340.