On Saturday, March 31, 2012 4:43:41 PM UTC+5:30, Stefan Krastanov wrote: > > Also you said that your interval arithmetics will not support > expressions like integrals and so on. You said that it is because the > behavior between the end points is important for the calculations. But > I think that it is extremely important to support all expressions in > sympy, thus my question: > > Is it possible just to have a simpler and inexact interval arithmetics > for all the expressions that are not explicitly supported by your > code? > If the integral can be simplified to an expression that contains the functions I implement in interval arithmetic, then it can be handled.
> A simple linear or quadratic interpolation should do the trick in most > cases. > > Otherwise your code will be useful only for a very constrained subset > of sympy functions (no special functions (gamma or bessel), integrals, > nsolve expressions and so on). > For gamma/ bessel functions we can use interval arithmetic based on their series expansions. As the recursion goes from a larger block to a smaller block, it is impossible without knowing how the function behaves to do interval arithmetic. A linear/ quadratic interpolation is equivalent to series expansion and hence can be done, though it has to be atleast quadratic to get decent results. -- You received this message because you are subscribed to the Google Groups "sympy" group. To view this discussion on the web visit https://groups.google.com/d/msg/sympy/-/Xlf_o080gNoJ. To post to this group, send email to sympy@googlegroups.com. To unsubscribe from this group, send email to sympy+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
