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Fixed #221. The problem with complex sqrt #254

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Merged
merged 6 commits into from
Apr 24, 2022
Merged

Fixed #221. The problem with complex sqrt #254

merged 6 commits into from
Apr 24, 2022

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olekscode
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hemalvarambhia
hemalvarambhia reviewed Apr 23, 2022
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hemalvarambhia
hemalvarambhia approved these changes Apr 23, 2022
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@hemalvarambhia hemalvarambhia left a comment •
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I don't recall comparing complex numbers directly, only their moduli.

One small comment both otherwise, great job fixing a defect.

hemalvarambhia
hemalvarambhia reviewed Apr 23, 2022
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:shipit:

@nicolas-cellier-aka-nice
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nicolas-cellier-aka-nice commented Apr 23, 2022 •
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Yes, I first thought using the same formulation which is a bit more robust.
Reference "How to Find the Square Root of a Complex Number" by Stanley Rabinowitz 1993.

However, this implementation still suffers from potential floating point overflow/underflow.
This is why I suggest something even more robust (and more accurate) like:

Implementing Complex Elementary Function Using Exception Handling
ACM Transactions on Mathematical Software - October 1994
Ping Tang and 3 other authors

See https://source.squeak.org/trunk/Kernel-nice.1459.diff

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Oh, this is cool!
Thanks @nicolas-cellier-aka-nice

I like the idea of scaling

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I will merge this PR for now and open a new issue for a more robust sqrt implementation

@olekscode olekscode merged commit c799e39 into PolyMathOrg:master Apr 24, 2022
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I will merge this PR for now and open a new issue for a more robust sqrt implementation

Issue #257

@SergeStinckwich SergeStinckwich added this to the v1.0.4 milestone Apr 25, 2022
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@hemalvarambhia hemalvarambhia hemalvarambhia approved these changes

@SergeStinckwich SergeStinckwich Awaiting requested review from SergeStinckwich

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