RFR: 8334755: Asymptotically faster implementation of square root algorithm [v40]

[fabioromano1]

> 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:

  Slightly slower but safer code

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Changes:
  - all: https://git.openjdk.org/jdk/pull/19710/files
  - new: https://git.openjdk.org/jdk/pull/19710/files/96582ee5..27f0c8c7

Webrevs:
 - full: https://webrevs.openjdk.org/?repo=jdk&pr=19710&range=39
 - incr: https://webrevs.openjdk.org/?repo=jdk&pr=19710&range=38-39

  Stats: 1 line in 1 file changed: 0 ins; 0 del; 1 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