On Tue, 2 Jul 2024 01:44:43 GMT, fabioromano1 <d...@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:
> 
>   Ensure normalized value in MutableBigInteger initialization with ints

Everything not obvious that departs from the paper by Bertot, Magaud and 
Zimmermann should be commented.
Unfortunately, I can't say precisely what and to which extent until I see a 
first version.

-------------

PR Comment: https://git.openjdk.org/jdk/pull/19710#issuecomment-2218355974

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