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Title: bpo-41513: More accurate hypot() by rhettinger · Pull Request #21916 · python/cpython · GitHub

Open Graph Title: bpo-41513: More accurate hypot() by rhettinger · Pull Request #21916 · python/cpython

X Title: bpo-41513: More accurate hypot() by rhettinger · Pull Request #21916 · python/cpython

Description: Draft PR for discussion. Algorithm combines: lossless scaling using a power-of-two scaling factor accurate squaring using Veltkamp-Dekker splitting accurate summation using a variant of the Neumaier algorithm differential correction of the square root calculation Together, these allow the algorithm to simulate 128-bit quad precision throughout. On my build, the speed slows 50-60%. I've tested with millions of inputs and not yet found a single 1-ulp error. It seems to always be correctly rounded. https://bugs.python.org/issue41513

Open Graph Description: Draft PR for discussion. Algorithm combines: lossless scaling using a power-of-two scaling factor accurate squaring using Veltkamp-Dekker splitting accurate summation using a variant of the Neumai...

X Description: Draft PR for discussion. Algorithm combines: lossless scaling using a power-of-two scaling factor accurate squaring using Veltkamp-Dekker splitting accurate summation using a variant of the Neumai...

Opengraph URL: https://github.com/python/cpython/pull/21916

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