For instance, what is the mean and variance for the step size? Or if there's some density metric over some interval, such as count?

I needed to generate some (eventually large) test datasets for my graphing app; so all I really needed was something that was roughly a straight line between two points, but with enough variations to allow co-planer lines to be discernible. (Ie. not overlayed.)

It's for checking that boundary, ranging, scaling & tick mark calculations etc. do sensible things with generic datasets.

So far, I'm very happy with what came out of this thread (see:Re: Random partitions? (Thanks and solution.)). With the addition of another switch, -P=2.718 the program raises the supplied number to the powers of each randomly generated value before output, thus I can test for the autoselecting of log scales.