Interpolation

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Interpolation*From*: weller at vuse.vanderbilt.edu*Date*: Tue, 26 Jan 93 12:00:54 CST

I have an observation and a question. 1) Observation: It would be really nice if the function Interpolation also took an alternative argument structure similar to Plot and then used the same adaptive algorithm that Plot uses to find automatically a good set of points to use. I know that one could hack this by plotting the function you want to approximate and then extracting the data from the graphical object (it's [[1,1,1,1]] isn't it?) but this is not elegant. A possible enhancement for 2.2? Are you out there WRI?? 2) Question: Does anyone have the code that Plot uses to build up its list of plot points? If not, would WRI be willing to make it available as a function which returns the list of plot points? By the way, the function which I am approximating is defined by a numerical integral. It's a slowly varying function of its argument but it takes a long time to compute each value. Also it isn't usally obvious where to place the greatest density of values. Robert A. Weller Vanderbilt University