On Tuesday, March 27, 2012 5:20:55 AM UTC+5:30, rl wrote: > > Hi, > > > > This also shows that we should definitely support using mpmath to do > > numerics, not just numpy. > > The question is for speed, I assume numpy to be much > faster than mpmath. Maybe one should support both > as "backends" for the interval arithmetic. > Yeah I think we should support both for interval arithmetic. Numpy can be the default option while mpmath is used when specified explicitly.
> > Figure 13 is an equation that enumerates > > all possible j x 17 bitmaps. The one for k = > > > 9960939379918958884971672962127852754715004339660129306651505519271702802395266424689642842174350718121267153782770623355993237280874144307891 > > > 325963941337723487857735749823926629715517173716995165232890538221612403238855866184013235585136048828693337902491454229288667081096184496091 > > > 705183454067827731551705405381627380967602565625016981482083418783163849115590225610003652351370343874461848378737238198224849863465033159410 > > > 054974700593138339226497249461751545728366702369745461014655997933798537483143786841806593422227898388722980000748404719 > > just happens to be one that looks like the equation itself. > > A nice example, too :-) > > > Clearly we need a high precision library like mpmath to do this. > > And we need a very good interval arithmetic library. > What is available inside of mpmath? What is missing? > How to implement the missing parts? > mpmath has a very standard interval arithmetic library, but we need property checking for domain, continuity for Algorithm 3.2-3.4. So I think I have to extend the classes in mpmath. Jeff Tupper's (the author of the paper on graphing implicit equations) M.Sc thesis was on interval arithmetic, and he has explained a lot about implementing these properties.(http://www.dgp.utoronto.ca/people/mooncake/msc.html). I have not gone through it completely, but I think it is detailed enough to have an implementation. I have exams going on, so I am unable to read through it completely. I will look into it in a couple of days and include it in my gsoc proposal. Thanks, Bharath M R > All these questions are obviously part of the project > although they do not deal with plotting directly. > > -- 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/-/gPSZD5gUXgEJ. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
