Thanks, Jason I have pasted this in my Application Draft and moved to Sympy Wiki: https://github.com/sympy/sympy/wiki/GSoC-2015-Application-AMiT-Kumar--Solvers-:-Extending-Solveset
Cheers! AMiT Kumar 3rd Year Undergrad Delhi Technological University www.iamit.in On Friday, February 6, 2015 at 2:10:49 AM UTC+5:30, Jason Moore wrote: > > Amit, > > This sounds good. You should move this content to the SymPy wiki and use > it as a starting point for your application submission. > > > Jason > moorepants.info > +01 530-601-9791 > > On Thu, Feb 5, 2015 at 10:38 AM, AMiT Kumar <[email protected] > <javascript:>> wrote: > >> Hi, >> I am AMiT Kumar, I would be GSoC Applicant to SymPy this year. I have >> been following the SymPy Community for quite sometime now and have also got >> around 11-12 patches Merged in the Code base. So, now, I have got a decent >> idea of `How things works`. >> >> I would like to work on Solvers as Mentioned on the Ideas Page. Last year >> Harsh Gupta did a very good job by Rewriting the Univariate solvers >> (solveset.py), I have gone through his work. After having conversation with >> him and digging into solveset, I got to know there is still a lot of work >> which needs to be done. >> >> I could see a couple of entry points on the Ideas page: >> https://github.com/sympy/sympy/issues/8725 (I have Merged a PR for this) >> https://github.com/sympy/sympy/issues/8711 (Replace all internal >> solve() calls with solveset() ): TODO >> >> Things, I would like to implement in solveset includes: >> >> Multivariate Equation solving: >> >> I think for solving multivariate equations, the order of variables should >> be given as input, so that we don't need to have a dict as output and we >> can return Set, as if we automatically detect variables, we need to output >> the dict of results. >> >> - Multivariate functions with non point solution: (solvemv) >> - >> >> In [0] solveset((x - 1)*(y - 2), (x, y)) >> Out[1] {{1, arbitrary}, {arbitrary, 2}} >> >> >> or we may return: >> >> Out[1] {{1, (-oo, oo)}, {(-oo, oo), 2}} >> >> >> >> - Multivariate functions with point solutions: (solvemv) >> >> >> >> - >> >> In [0] solveset(x**2 + y**2, (x, y)) >> Out[1] {0, 0} >> >> >> Solve System of Equation: (solvesys) >> (For system of Equation, we can have this): >> >> >> - >> >> In [0] solveset([x + y == 1, x - y == 0], (x,y)) >> Out[1] {{1/2, 1/2}} >> >> - For inequality solver (or for solvers in general) we also need to >> extend singularities module (though useful in general), so as to prevent >> getting wrong results, caused due to incorrect simplification of >> expression, as we saw in this issue: https://github.com/ >> sympy/sympy/issues/8715 , Example: x + 1/x > -2 + 1/x this >> inequality is written as expr = expr. lhs - expr.rhs , which cancels 1/x >> and gives wrong result, by including singular point in the solution. >> - inequality solver in solveset currently uses inequalities.py >> (dependent on solve) (some discussion here: https://groups.google. >> com/forum/#!topic/sympy/Yp5NqrXmp2U >> <https://groups.google.com/forum/#!topic/sympy/Yp5NqrXmp2U>). It is >> related to the next point below. >> - All internal solve() calls needs to be replaced with solveset() , this >> is very important for bringing out the solveset from sandbox to >> eventually replace solve(). (we need to consider the output API >> (return type) also while replacing). >> - We also need to extend the set - boolean (relational) conversion >> methods to handle multivariate variables. >> - Complex set Infrastructure is also not there (though I see a WIP PR >> for that), and yes we also need to see what other set capabilities we >> need >> to implement to support various other kinds of solutions. >> >> And also other solvers as mentioned on ideas page like 'Equations >> solvable by LambertW function' also needs to work. >> >> I would love to get feedback from the community before presenting my >> proposal. >> >> Cheers! >> AMiT Kumar >> 3rd Year Undergrad >> Delhi Technological University >> www.iamit.in >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to [email protected] <javascript:>. >> To post to this group, send email to [email protected] <javascript:> >> . >> Visit this group at http://groups.google.com/group/sympy. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/c786148f-3ea3-411f-b24c-93dc0174b381%40googlegroups.com >> >> <https://groups.google.com/d/msgid/sympy/c786148f-3ea3-411f-b24c-93dc0174b381%40googlegroups.com?utm_medium=email&utm_source=footer> >> . >> For more options, visit https://groups.google.com/d/optout. >> > > -- You received this message because you are subscribed to the Google Groups "sympy" group. 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