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https://issues.apache.org/jira/browse/MATH-667?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Rob Tompkins updated MATH-667:
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Fix Version/s: 4.X
> Representations of the complex numbers
> --------------------------------------
>
> Key: MATH-667
> URL: https://issues.apache.org/jira/browse/MATH-667
> Project: Commons Math
> Issue Type: Wish
> Reporter: Gilles
> Priority: Minor
> Labels: features
> Fix For: 4.X
>
>
> Several issues have been raised about the current behaviour of the "Complex"
> class, located in package "o.a.c.m.complex" (e.g. MATH-657, MATH-620).
> The ensuing discussion revealed various, sometimes incompatible, requirements
> with focus on efficiency or consistency or backwards compatibility or
> comparison with other math packages (Octave) or faithfulness to standards
> (C99x).
> It is thus proposed to create several classes, each with a clearly defined
> purpose.
> The consensus seems to be that the first task is to implement a new
> "BasicComplex" class where the computational formulae (for computing real and
> imaginary part of a complex) will be applied directly without worrying about
> limiting cases (NaNs and infinities). Doing so will automatically produce a
> behaviour similar to the Java {{double}} primitive. It is also assumed that
> it will be the most efficient implementation for "normal" use (i.e. not
> involving limiting cases).
> This task would consist in copying most of the code in the existing "Complex"
> class over to "BasicComplex". And similarly with "ComplexTest". Then, in
> "BasicComplex", one would remove all variables that refer to NaNs and
> infinities together with checks and special assignments, and adapt the unit
> tests along the way.
> A new "ExtendedComplex" class would inherit from "BasicComplex". This class
> would aim at representing the compactified space of the complex numbers (one
> point-at-infinity).
> A new "C99Complex" class would inherit from "BasicComplex". This class would
> aim at implementing the C99x standard.
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