> I have implemented the Zimmermann's square root algorithm, available in works > [here](https://inria.hal.science/inria-00072854/en/) and > [here](https://www.researchgate.net/publication/220532560_A_proof_of_GMP_square_root). > > The algorithm is proved to be asymptotically faster than the Newton's Method, > even for small numbers. To get an idea of how much the Newton's Method is > slow, consult my article [here](https://arxiv.org/abs/2406.07751), in which > I compare Newton's Method with a version of classical square root algorithm > that I implemented. After implementing Zimmermann's algorithm, it turns out > that it is faster than my algorithm even for small numbers.
fabioromano1 has updated the pull request with a new target base due to a merge or a rebase. The incremental webrev excludes the unrelated changes brought in by the merge/rebase. The pull request contains 39 additional commits since the last revision: - Merge branch 'openjdk:master' into patchSqrt - Removed useless instruction - Code optimization - Merge branch 'patchSqrt' of https://github.com/fabioromano1/jdk into patchSqrt - Merge branch 'openjdk:master' into patchSqrt - Added JMH benchmark class for Square Root - Normalize blocks - Removed unused import - Simplification of code - Special cases and base case optimization - ... and 29 more: https://git.openjdk.org/jdk/compare/651eb76a...d3270015 ------------- Changes: - all: https://git.openjdk.org/jdk/pull/19710/files - new: https://git.openjdk.org/jdk/pull/19710/files/073c6046..d3270015 Webrevs: - full: https://webrevs.openjdk.org/?repo=jdk&pr=19710&range=09 - incr: https://webrevs.openjdk.org/?repo=jdk&pr=19710&range=08-09 Stats: 729 lines in 41 files changed: 494 ins; 132 del; 103 mod Patch: https://git.openjdk.org/jdk/pull/19710.diff Fetch: git fetch https://git.openjdk.org/jdk.git pull/19710/head:pull/19710 PR: https://git.openjdk.org/jdk/pull/19710