[math] interface for UnivariateRealFunction (differentiability)

2003-11-07 Thread Matt Cliff
What is the purpose for having the firstDerivative() and secondDerivative() methods on a UnivariateRealFunction ? It is a little troubling to me to have at this level (perhaps if needed a subclass such as UnivariateDifferentiableRealFunction ). Most numerical processes only require a

Re: [math] interface for UnivariateRealFunction (differentiability)

2003-11-07 Thread brent
The CubicSplineFunction is the only place, that I'm aware of, that truly implements these methods. Also, these method are never called anywhere in the code, save the unit tests. This includes calls through either the interface or the concrete classes. As I see it we have three choices: 1) let

Re: [math] interface for UnivariateRealFunction (differentiability)

2003-11-07 Thread Mark R. Diggory
Not attached to this, a Differentiable Interface would be acceptable to me too. On another subject, maybe because of my naivety, why are these interfaces called UnivariateRealFunction and not simply something more generic like RealFunction? I say this strictly because of what I consider an

Re: [math] interface for UnivariateRealFunction (differentiability)

2003-11-07 Thread Matt Cliff
I suggest that we remove the derivative methods from the interface. My thought is that in general, a user would not need to calculate and program the first and second derivatives. I'd like to put a little more thought into the Differentiable interface, there are two tracks of thought

Re: [math] interface for UnivariateRealFunction (differentiability)

2003-11-07 Thread J.Pietschmann
Matt Cliff wrote: What is the purpose for having the firstDerivative() and secondDerivative() methods on a UnivariateRealFunction ? The first derivative could be used in a Newton solver. The second derivative could be used in yet another higher order root finder, or for providing error estimates