Hello everyone,

I have made a final draft proposal on "Refactoring the ODE module and make
it fast". If someone can please review this and suggest changes so that I
can incorporate them accordingly before the GSoC timeline.

link:
https://docs.google.com/document/d/1slfj2CJRgKpmf0zOW93YkxYUDUvutTmkDX6BmsFfmIs/edit?usp=sharing
waiting for the feedback.
Thanks.


On Fri, Mar 20, 2020 at 1:55 PM mohit balwani <mohitbalwani.ic...@gmail.com>
wrote:

> +oscar.j.benja...@gmail.com   I have made changes you suggested about
> refactoring test_ode.py in phase-I. could you please review it again?
>
> On Sun, Mar 15, 2020 at 7:40 PM Oscar Benjamin <oscar.j.benja...@gmail.com>
> wrote:
>
>> I think it would be better to refactor the tests at the start as in
>> https://github.com/sympy/sympy/issues/18377
>> That can significantly increase test coverage which gives more
>> confidence when refactoring everything else. It would also make it
>> possible to compare timings before and after the refactor.
>>
>> On Sun, 15 Mar 2020 at 11:51, mohit balwani
>> <mohitbalwani.ic...@gmail.com> wrote:
>> >
>> > +oscar.j.benja...@gmail.com can you please review the changes in
>> proposal so that i know what i need to make changes in it?
>> > On Friday, March 13, 2020 at 10:27:39 PM UTC+5:30, mohit balwani wrote:
>> >>
>> >> hello,
>> >>  I have made some changes in project motivation. Does this look good
>> or Should I detail that more?
>> >>
>> >> On Thu, Mar 12, 2020 at 5:15 AM Oscar Benjamin <
>> oscar.j.benja...@gmail.com> wrote:
>> >>>
>> >>> I think it would be good to spend more time explaining what changes
>> >>> you will make and why.
>> >>>
>> >>> Don't assume that someone reviewing this proposal will understand the
>> >>> current problems of the ODE module or why your proposal is beneficial.
>> >>> You should make it clear to them what the problems are and how your
>> >>> proposed changes will lead to tangible improvements. (This advice
>> >>> applies to all GSOC applicants)
>> >>>
>> >>> --
>> >>> Oscar
>> >>>
>> >>> On Wed, 11 Mar 2020 at 19:19, mohit balwani
>> >>> <mohitbalwani.ic...@gmail.com> wrote:
>> >>> >
>> >>> > Hi,
>> >>> >
>> >>> > Here is rough draft of my GSoC proposal
>> >>> >
>> >>> >
>> https://docs.google.com/document/d/1slfj2CJRgKpmf0zOW93YkxYUDUvutTmkDX6BmsFfmIs/edit?usp=drivesdk
>> >>> >
>> >>> > Any suggestions would really be appreciated.
>> >>> >
>> >>> > On Tue, Mar 10, 2020, 9:15 PM Oscar Benjamin <
>> oscar.j.benja...@gmail.com> wrote:
>> >>> >>
>> >>> >> Hi Mohit,
>> >>> >>
>> >>> >> You don't need to resend the previous emails. This discussion is
>> >>> >> becoming too detailed though and belongs on the Github issue for
>> >>> >> refactoring the ODE module:
>> >>> >> https://github.com/sympy/sympy/issues/18348
>> >>> >>
>> >>> >> Oscar
>> >>> >>
>> >>> >> On Tue, 10 Mar 2020 at 15:26, mohit balwani
>> >>> >> <mohitbalwani.ic...@gmail.com> wrote:
>> >>> >> >
>> >>> >> > hello,
>> >>> >> >
>> >>> >> > so should I resend the previous mail to the mailing list?
>> >>> >> >
>> >>> >> > On Tue, Mar 10, 2020 at 6:59 PM mohit balwani <
>> mohitbalwani.ic...@gmail.com> wrote:
>> >>> >> >>
>> >>> >> >> For pattern matching, I kept in mind that we can extract the
>> elements of our general solution from the equation with direct matching
>> just like First_linear. And for `SingleODESolver` there will be proper
>> logic checking whether the given equation matches or not.
>> >>> >> >>
>> >>> >> >> I am a bit confused about how all linear solvers can be based
>> on pattern because
>> >>> >> >> let's say we want to implement
>> `nth_linear_constant_coeff_undetermined_coefficients`.
>> >>> >> >> its general equation is
>> >>> >> >>
>> >>> >> >>     a_n f^{(n)}(x) + a_{n-1} f^{(n-1)}(x) + .. + a_1 f'(x)  +
>> a_0 f(x) = P(x)
>> >>> >> >>
>> >>> >> >> Now p(x) needs to have a finite number of linearly independent
>> derivatives and in pattern matching to write general solution we should use
>> the extracted elements given by wilds function.
>> >>> >> >>
>> >>> >> >> On Tue, Mar 10, 2020 at 4:18 PM Oscar Benjamin <
>> oscar.j.benja...@gmail.com> wrote:
>> >>> >> >>>
>> >>> >> >>> I think the series solvers should probably have their own
>> superclass.
>> >>> >> >>> I'd like to move them out of normal dsolve anyway.
>> >>> >> >>>
>> >>> >> >>> Of the others I think that probably all the linear ones can be
>> based
>> >>> >> >>> on the Pattern solver. You should give a rationale for why you
>> have
>> >>> >> >>> divided them up like this.
>> >>> >> >>>
>> >>> >> >>> On Tue, 10 Mar 2020 at 10:29, mohit balwani
>> >>> >> >>> <mohitbalwani.ic...@gmail.com> wrote:
>> >>> >> >>> >
>> >>> >> >>> > Hi,
>> >>> >> >>> > currently, there are 28 solvers in the ODE module out of
>> which 6 solvers have been refactored already.
>> >>> >> >>> >
>> >>> >> >>> > I have classified the remaining 22 solvers on the basis of
>> their parent class whether they should inherit SinglePatternODESolver or
>> SingleODESolver
>> >>> >> >>> >
>> >>> >> >>> >  SinglePatternODESolver
>> >>> >> >>> >
>> >>> >> >>> > separable
>> >>> >> >>> > separable_reduced
>> >>> >> >>> > linear_coefficients
>> >>> >> >>> > Liouville
>> >>> >> >>> > 2nd_linear_airy
>> >>> >> >>> > 2nd_linear_bessel
>> >>> >> >>> > 2nd_hypergeometrics
>> >>> >> >>> >
>> >>> >> >>> > SingleODESolver
>> >>> >> >>> >
>> >>> >> >>> > 1st_exact
>> >>> >> >>> > 1st_homogeneous_coeff_subs_indep_div_dep
>> >>> >> >>> > 1st_homogeneous_coeff_subs_dep_div_indep
>> >>> >> >>> > 1st_power_series
>> >>> >> >>> > 2nd_power_series_ordinary
>> >>> >> >>> > 2nd_power_series_regular
>> >>> >> >>> > nth_linear_constant_coeff_homogeneous
>> >>> >> >>> > nth_linear_euler_eq_homogeneous
>> >>> >> >>> > nth_linear_constant_coeff_undetermined_coefficients
>> >>> >> >>> > nth_linear_euler_eq_nonhomogeneous_undetermined_coefficients
>> >>> >> >>> > nth_linear_constant_coeff_variation_of_parameters
>> >>> >> >>> > nth_linear_euler_eq_nonhomogeneous_variation_of_parameters
>> >>> >> >>> > nth_order_reducible
>> >>> >> >>> > 1st_homogeneous_coeff_best ( it just gives the best result
>> from "1st_homogeneous_coeff_subs_indep_div_dep" and
>> "1st_homogeneous_coeff_subs_dep_div_indep")
>> >>> >> >>> > Lie_group
>> >>> >> >>> >
>> >>> >> >>> > +oscar.j.benja...@gmail.com does this classification look
>> good?
>> >>> >> >>> > Any suggestions would be really helpful.
>> >>> >> >>> >
>> >>> >> >>> > Regards,
>> >>> >> >>> > Mohit
>> >>> >> >>> >
>> >>> >> >>> > On Sun, Mar 8, 2020 at 1:53 PM mohit balwani <
>> mohitbalwani.ic...@gmail.com> wrote:
>> >>> >> >>> >>
>> >>> >> >>> >> Hi, oscar
>> >>> >> >>> >>
>> >>> >> >>> >> I started looking at the (Single) ODE solver closely and as
>> suggested by you, they are to be refactored in the form of classes. After
>> performing all this work it will be easier to maintain the code and
>> whenever a new solver is to be added it will be very easy to add it. In my
>> GSoC proposal what exactly I should elaborate on because refactoring
>> different solvers will be based on either SinglePatternODESolver
>> >>> >> >>> >> or SingleODESolver only and both of the base classes are
>> already implemented so we just have to inherit them. one thing I noted that
>> there are helper functions in ode.py so I guess they should be moved to
>> other file deutils.py may be.
>> >>> >> >>> >> so in my proposal should I show the code for one of the
>> non-refactored solvers?
>> >>> >> >>> >>
>> >>> >> >>> >> Thanks,
>> >>> >> >>> >> Mohit
>> >>> >> >>> >>
>> >>> >> >>> >> On Sat, Mar 7, 2020 at 2:22 AM Oscar Benjamin <
>> oscar.j.benja...@gmail.com> wrote:
>> >>> >> >>> >>>
>> >>> >> >>> >>> Hi Mohit,
>> >>> >> >>> >>>
>> >>> >> >>> >>> That's plenty enough for a GSOC project. You should try to
>> go into
>> >>> >> >>> >>> more detail in your proposal about exactly what you think
>> should
>> >>> >> >>> >>> happen though. Perhaps review all of the (single) ODE
>> solvers that are
>> >>> >> >>> >>> there now and how they can be refactored and simplified or
>> improved in
>> >>> >> >>> >>> the process.
>> >>> >> >>> >>>
>> >>> >> >>> >>> Refactoring the tests so that they can be reused will make
>> it possible
>> >>> >> >>> >>> to run all solvers on all of the tested ODEs which will
>> expose many
>> >>> >> >>> >>> bugs in the individual solvers. You don't need to worry
>> about having
>> >>> >> >>> >>> enough to do if you start thinking about fixing those
>> bugs! If I was
>> >>> >> >>> >>> doing this work myself I would begin with refactoring the
>> tests so
>> >>> >> >>> >>> that I can use them to compare before/after performance
>> while
>> >>> >> >>> >>> refactoring the solving code.
>> >>> >> >>> >>>
>> >>> >> >>> >>> I think this would be too much for one GSOC project but
>> the ultimate
>> >>> >> >>> >>> goal I would like is to see the ODE code organised more
>> like
>> >>> >> >>> >>> integral_steps with rules leading to other rules and so on
>> so that we
>> >>> >> >>> >>> can have step-by-step solutions and better debugging
>> output. Many of
>> >>> >> >>> >>> the solvers are actually using substitutions so we should
>> make it
>> >>> >> >>> >>> possible for a solver to simply match the ODE and say "use
>> this
>> >>> >> >>> >>> substitution". We can't even begin to implement a
>> rule-based system
>> >>> >> >>> >>> until dsolve is refactored though.
>> >>> >> >>> >>>
>> >>> >> >>> >>> Oscar
>> >>> >> >>> >>>
>> >>> >> >>> >>> On Fri, 6 Mar 2020 at 19:34, mohit balwani <
>> mohitbalwani.ic...@gmail.com> wrote:
>> >>> >> >>> >>> >
>> >>> >> >>> >>> > I am planning to take Refactoring ODE module as a GSoC
>> project.
>> >>> >> >>> >>> >
>> >>> >> >>> >>> > For every solver we need to make it as a separate class
>> so that classify_ode() can easily match the ode and return the solution
>> right away. After that the test_ode.py also needs to be refactored as there
>> are lot of redundant test  and we can use data structures for maintaining
>> and testing each and every part of test_ode.py.This will provide uniformity
>> as there are some blocks which are not tested.
>> >>> >> >>> >>> >
>> >>> >> >>> >>> > So will this be enough for GSoC'20?
>> >>> >> >>> >>> >
>> >>> >> >>> >>> > On Fri, Jan 24, 2020, 12:14 AM Oscar Benjamin <
>> oscar.j.benja...@gmail.com> wrote:
>> >>> >> >>> >>> >>
>> >>> >> >>> >>> >> Those might be able to speed things up but not until
>> the ODE module is
>> >>> >> >>> >>> >> refactored. The reason the module needs to be
>> refactored is that right
>> >>> >> >>> >>> >> now it runs the whole of classify_ode including the
>> matching code for
>> >>> >> >>> >>> >> every single solver.
>> >>> >> >>> >>> >>
>> >>> >> >>> >>> >> If it just returned the first match straight away and
>> computed the
>> >>> >> >>> >>> >> result it would be much faster. Then adding new fast
>> methods that are
>> >>> >> >>> >>> >> tried first can speed things up. As it stands though
>> each method that
>> >>> >> >>> >>> >> you add will probably just slow it down more. There
>> needs to be a
>> >>> >> >>> >>> >> refactor first so that classify_ode still works as
>> expected even if
>> >>> >> >>> >>> >> dsolve does something different.
>> >>> >> >>> >>> >>
>> >>> >> >>> >>> >>
>> >>> >> >>> >>> >> On Thu, 23 Jan 2020 at 16:04, mohit balwani
>> >>> >> >>> >>> >> <mohitbalwani.ic...@gmail.com> wrote:
>> >>> >> >>> >>> >> >
>> >>> >> >>> >>> >> >
>> >>> >> >>> >>> >> >
>> >>> >> >>> >>> >> > On Thursday, January 9, 2020 at 10:00:33 PM UTC+5:30,
>> mohit balwani wrote:
>> >>> >> >>> >>> >> >>
>> >>> >> >>> >>> >> >> I have ideas of implementing functionalities in ODE
>> mentioned in wiki page. with whom should I discuss it?
>> >>> >> >>> >>> >> >
>> >>> >> >>> >>> >> >
>> >>> >> >>> >>> >> >
>> >>> >> >>> >>> >> >  I have attached a pdf file in which there are
>> shortcut tricks to solve linear ode, i don't know whether these methods are
>> already implemented indirectly or  will enhance the speed.But In my opinion
>> if they are implemented then lot of work could be saved. For example if we
>> look at method of undetermined coefficients, to find a particular integral
>> of ode it solves for coefficient by comparing them and call solve which has
>> matrix as argument. Now with the help of these tricks we do not need to
>> call solve as it will directly find out the coefficients of particular
>> integral. This pdf is handwritten notes and i have tried to write them as
>> neat and understandable as possible and with each case i have also written
>> 1 example so that it becomes easy to go through.
>> >>> >> >>> >>> >> >
>> >>> >> >>> >>> >> > --
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