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From "Gilles (JIRA)" <j...@apache.org>
Subject [jira] [Updated] (MATH-667) Representations of the complex numbers
Date Mon, 23 Jul 2012 14:41:33 GMT

     [ https://issues.apache.org/jira/browse/MATH-667?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
]

Gilles updated MATH-667:
------------------------

    Fix Version/s:     (was: 3.1)

A realistic "fix version" will be set when this improvement elicits more interest...
                
> 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
>
> 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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