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https://issues.apache.org/jira/browse/MATH-439?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Gilles updated MATH-439:
------------------------

    Attachment: NLCG.testCircleFitting.txt

I'm attaching an output when running {{testCircleFitting}}.

"min" and "max" indicate the search interval bounds passed to {{solve}}.
"lo" and "hi" are the bounds of the search interval used by Brent's algorithm 
(the 2-points implementation as described in the the book): It uses half of the 
original interval (the part that brackets the root).
"step" is the solution returned by {{solve}} and subsequently used by the 
caller (cf. code excerpt in one of the above comments).

I hope that some expert can explain what the problem is.


> Refactoring of solvers (package "analysis.solvers")
> ---------------------------------------------------
>
>                 Key: MATH-439
>                 URL: https://issues.apache.org/jira/browse/MATH-439
>             Project: Commons Math
>          Issue Type: Improvement
>            Reporter: Gilles
>            Priority: Minor
>             Fix For: 3.0
>
>         Attachments: AbstractUnivariateRealSolver.java, 
> NLCG.testCircleFitting.txt
>
>
> The classes in package "analysis.solvers" could be refactored similarly to 
> what was done for package {{optimization}}.
> * Replace {{MaxIterationsExceededException}} with 
> {{TooManyEvaluationsException}}:
> Apart from the class {{MaxIterationsExceededException}} being deprecated, 
> this approach makes it difficult to compare different algorithms: While the 
> concept of iteration is algorithm-dependent, the user is probably mostly 
> interested in the number of function evaluations. 
> * Implement the method {{solve}} in the base class 
> ({{UnivariateRealSolverImpl}}) and define an abstract method {{doSolve}} to 
> be implemented in derived classes. This method would then use a new 
> {{computeObjectiveFunction}} method that will take care of the counting of 
> the function evaluations.
> * Remove "protected" fields (the root is unnecessary since it is returned by 
> {{solve}}). Arguingly the function value is also not very useful (as we know 
> what it should be), except for debugging purposes (in which case, it might 
> not be a problem to call the function's {{value}} method once more).
> * Remove the tolerance setter (accuracy) and make the corresponding fields 
> "final".

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