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https://issues.apache.org/jira/browse/MATH-863?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13460309#comment-13460309
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Sébastien Brisard commented on MATH-863:
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{quote}
[...] have Quaternion implement the FiledElement interface
{quote}

I was about to make the same suggestion! However, on second thoughts, I'm not 
so sure, because of the product being non commutative. I am not sure all 
classes operating on FieldElements are cautious enough about the product 
possibly being non-commutative. It might therefore be dangerous to have 
{{Quaternion}} implement {{FieldElement}}. However, I agree with Luc: even if 
{{Quaternion}} does not implement {{FieldElement}}, similar methods should 
definitely be given the same name.

Sébastien
                
> new Quaternion class added in complex package
> ---------------------------------------------
>
>                 Key: MATH-863
>                 URL: https://issues.apache.org/jira/browse/MATH-863
>             Project: Commons Math
>          Issue Type: New Feature
>    Affects Versions: 3.1
>            Reporter: Julien Anxionnat
>         Attachments: quaternion.patch, quaternion_v2.patch
>
>   Original Estimate: 0h
>  Remaining Estimate: 0h
>
> This patch provides a new class for the mathematical object "Quaternion" in 
> the complex package.
> This quaternion is considered as a mathematical object (the Hamilton's 
> hypercomplex number).
> Note that it's not a rotation quaternion which has to be a quaternion of norm 
> one. Although this feature could be used for a getter in the Rotation class.
> This patch provides also some improvements in Precision class : a "double 
> comparison epsilon" and a method to compute relative comparison.
> (Please, note that's it's my first contribution, and I apologize in advance 
> for my mistakes…) 

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