RFR: 8334755: Asymptotically faster implementation of square root algorithm [v50]

duke duke at openjdk.org
Sat Aug 3 09:48:44 UTC 2024


On Thu, 1 Aug 2024 10:16:59 GMT, fabioromano1 <duke at openjdk.org> wrote:

>> 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 incrementally with one additional commit since the last revision:
> 
>   Last small changes

@fabioromano1 
Your change (at version 4c1d9e57158994e55a2e6429ecc2bb3dad46b4b1) is now ready to be sponsored by a Committer.

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PR Comment: https://git.openjdk.org/jdk/pull/19710#issuecomment-2266656648


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