Hi,

I'm an undergraduate computer science student. I'm interested in your GSOC 
project idea
to add "Step-by-Step" functionality to SymPy, and I have some good past 
experience relating
to implementing that exact specific feature in symbolic mathematics 
software.

Last summer I spent some time reading textbooks on symbol manipulation, 
Lisp, and AI,
and wrote a program called "Step-by-Step Derivative Calculator".
Here's a screenshot: 
https://sites.google.com/site/bl0ckeduserssoftware/easyderivsteps/screenshots/v12gui-linux.png
And the download is at: 
https://sites.google.com/site/bl0ckeduserssoftware/easyderivsteps/

(Some of the source code for the program is currently available, but not the
source code for the "step-by-step" feature).

I would be quite interested to spend this summer adding similar 
functionality to SymPy,
and will probably apply as a GSOC student in March, using my real name (my 
first name is Gabriel
and my last name starts with a C) rather than this pseudonym.

The approach I used and which I may consider attempting to use, perhaps 
somewhat
modified, in SymPy can be summarized as follows:

(1) some special code marks nodes in the expression tree that get modified 
between
two operations which are marked as user-presented "steps", and specially 
decorates
these so they are highlighted with a special colour in the user GUI display;

(2) a table of description strings is built which associates classes of 
symbolic operations
to parameterized description strings which aim to explain to the user what 
the operation did,
and include, through parameterization, the specific expression or variable 
that was modified.
In the case of my pet project, this was done using a custom little DSL for 
which I wrote a
built-in compiler. The source code for the case of the quotient rule (from 
calculus) was:

    D(?x, f / g) = (g * D(x, f) - f * D(x, g) ) / (g * g)
    ; Apply quotient rule on $ \\frac{d}{d{?x}} \\left[ \\frac{&f}{&g} 
\\right] $

Note that this contains LaTeX for the final rendering, mixed with a 
description string,
mixed with a symbolic rule for how the quotient rule works.

I hope to soon spend some time familiarizing myself with the SymPy source 
code.

Please tell me if you think my idea is interesting and would be willing to 
take
me as a GSOC student.

Best,

Bl0ckeduser

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