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https://issues.apache.org/jira/browse/MATH-535?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12998943#comment-12998943
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Luc Maisonobe commented on MATH-535:
------------------------------------

Yes, the second proposal is far better than the first one.
The UnivariateRealFunction is a user interface. Users must implement it for 
example to solve roots. Such user interface should be as simple as possible and 
should not define additional methods.
In many case I know, such functions already extends user class (i.e. we have 
code like MyClass extends SuperClass implements UnivariateRealFunction). So in 
such cases an abstract class with a default implementation does not help, users 
would be forced to implement the additional method even if they don't use it 
and the solver don't use it either.


> Closing the loop in function objects
> ------------------------------------
>
>                 Key: MATH-535
>                 URL: https://issues.apache.org/jira/browse/MATH-535
>             Project: Commons Math
>          Issue Type: New Feature
>            Reporter: Gilles
>            Priority: Minor
>              Labels: api-change
>             Fix For: 3.0
>
>
> Some function classes (in package "analysis.function") now contains a 
> "Parametric" inner class that provides a parametric version of the function 
> represented by the enclosing class.
> # We could enhance the "UnivariateRealFunction" interface to contain:
> {noformat}
>   public ParametricUnivariateRealFunction createParametricFunction();
> {noformat}
> which, e.g. for the "Gaussian" concrete class, would translate to:
> {noformat}
>   public Gaussian.Parametric createParametricFunction() {
>     return new Gaussian.Parametric();
>   }
> {noformat}
> # We could enhance the "ParametricUnivariateRealFunction" interface to 
> contain:
> {noformat}
>   public UnivariateRealFunction createFunction(double[] param);
> {noformat}
> which, in "Gaussian.Parametric", would translate to:
> {noformat}
>   public Gaussian createFunction(double[] param) {
>     validateParameters(param);
>     return new Gaussian(param[0], param[1], param[2]);
>   }
> {noformat}
> In both cases, it would allow programming against interfaces.
> For the first case, not all current implementations of 
> "UnivariateRealFunction" provide a "Parametric" version (and for most there 
> are no parameters). So either we create a new 
> "AbstractUnivariateRealFunction" that provides a default implementation of 
> "createParametricFunction" (throwing an exception) and make all current 
> function classes extends this one, or we create a new interface (something 
> like "ParametricFactory") that declares the new "createParametricFunction()" 
> and add the "implements ParametricFactory" clause to any class that provides 
> a parametric version.
> I think that the latter is the cleanest. Or is there still another 
> possibility?

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