Thank you so much Yathartha for giving the latest updates.

I am planning to complete the lambert first. I had added some reviews and
comments over your PR for lambert. Please review them and let me know what
you think. And i will focus on modular equations and set infrastructure
after this.

I went through most of the issues and PRs. Many of them are related to the
project. I think it can be covered side by side as my work proceeds. I will
be updating you about my work.

Sincerely,
Jogi Miglani

On Sun, Mar 10, 2019 at 7:15 PM Nabanita Dash <dashnaban...@gmail.com>
wrote:

> I also wanted to work on solvers,can you please lead me the way to start.
>
> On Sun 10 Mar, 2019, 6:16 PM Yathartha Joshi <yatharth...@gmail.com wrote:
>
>> Hi Jogi,
>>
>> Sorry for the late reply, it has been a busy week for me.
>> Thanks for your interest in this project. I definitely want `solveset` to
>> overtake `solve` as quickly as we can.
>>
>> - Regarding `transolve`, yeah the Lambert solver needs to be completed.
>> There were few bivariate type equations that weren't able to pass in my PR
>> #14972 <https://github.com/sympy/sympy/pull/14972>. I will add more
>> comments there, and update you soon.
>>
>> - Regarding the modular equations, I think it will be a good idea to have
>> `invert_modular`, I also liked the approach that is implemented in #14284
>> <https://github.com/sympy/sympy/pull/14284>, but some of the work needs
>> to be done in terms of generalisation.
>>
>> - For set infrastructure, a good place to start with would be #11188
>> <https://github.com/sympy/sympy/pull/11188> and #12011
>> <https://github.com/sympy/sympy/pull/12011> and #16033
>> <https://github.com/sympy/sympy/pull/16033> (@oscargus made the PR
>> recently you can probably work along with him).
>>
>> - Also as I try to recollect now, there were some discussions on to
>> include BigUnion and BigIntersection. Refer: #9815
>> <https://github.com/sympy/sympy/issues/9815>, and some discussions in
>> #14566 <https://github.com/sympy/sympy/issues/14566>. It definitely
>> needs a discussion on their addition. Probably you can add your thoughts on
>> this.
>>
>> Apart from this, there are a lot of issues and PR's that are undone. I
>> suggest you start off by fixing them one by one. Also, feel free to ask any
>> of your doubts here. I will try to reply you as soon as I can.
>>
>> Cheers!
>> Yathartha Joshi
>>
>> On Monday, March 4, 2019 at 2:50:39 PM UTC+5:30, Jogi Miglani wrote:
>>>
>>> Hello,
>>>
>>> As we know that the work for solvers i.e replacing solve with solveset
>>> is being in progress from last four years. A lot of work has been done
>>> during this period by Harsh Gupta(@hargup), Amit Kumar(@aktech), Kshitij
>>> Saraogi(@kshitij10496), Shekhar Rajak(@Shekharrajak) and Yathartha
>>> Joshi(@Yathartha22). I want to summarize whats left to be done. I want to
>>> work on this project as I had quite a good experience with solvers and had
>>> implemented solving specific type of exponential equation recently.
>>>
>>> Mainly three things are left to be done and the order in which it should
>>> be done:
>>>
>>> 1. Transolve :
>>>     * Lambert Solver - It has been implemented and need to be passed
>>> some tests which i am working on now.
>>>     * Modular Equation - I went through #13178
>>> <https://github.com/sympy/sympy/issues/13178> . It would be good to
>>> have more discussion on how to implement this and the equations which come
>>> under this.
>>>     * Extending transolve to complex domain - needs discussion and
>>> proper plan of implementation.
>>>
>>> 2. Set Infrastructure(Image Set) : Many of the things depend on this in
>>> solveset. So I think this should be the next task done after transolve
>>> above.
>>>
>>> 3. Extending nonlinsove for trigonometric/transcedental equations.
>>>
>>> First of we I think we should discuss about Transolve to complete.
>>> For lambert solver I think @Yathartha22, you should tell here that whats
>>> exactly left to be done so that all can give suggestions.
>>> For handling modular equations - @smichr, @asmeurer What do you think
>>> how should we approach this?
>>> Example
>>> This problem is expected to return {100}
>>>
>>> n = symbols('n', integer=True)
>>> a = 742938285
>>> z = 1898888478
>>> m = 2**31 - 1
>>> x = 20170816
>>> solveset(x – Mod(a**n*z, m), n, S.Integers)
>>>
>>> Above can be implemented in sympy as suggested by @smichr
>>>
>>> a = 742938285
>>> z = 1898888478
>>> m = 2**31 - 1
>>> x = 20170816
>>> arg = x*invert(z, m)
>>>
>>> n = discrete_log(m, arg, a)
>>>
>>> What do you think @smichr, @asmeurer here? Should we define (in the
>>> solveset module) an _invert (modulo m) function by the model of
>>> _invert_real and _invert_complex?
>>>
>>> Suggestions on rest of the points can also be given here.
>>>
>>> I request to mentors to please give suggestions and have a discussion on
>>> this to proceed further.
>>>
>>> --
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