Wow!  You really made some progress and I can't believe it hasn't been
merged into the main code.  I had given up on sympy for a lot of my
work because the integration starts to break on really simple
integrals, for instance from the latest 0.7.1.rc1:

In [1]: c=symbols('c')

In [2]: integrate(1/sqrt(1+x*x),x)
Out[2]: asinh(x)

In [3]: integrate(1/sqrt(1+x*x/(c*c)),x)
Out[3]:
⌠
⎮       1
⎮ ────────────── dx
⎮       ⎽⎽⎽⎽⎽⎽⎽⎽
⎮      ╱      2
⎮     ╱      x
⎮    ╱   1 + ──
⎮   ╱         2
⎮ ╲╱         c
⌡

In [4]:

where I've just tried to divide the function 'x*x' by a constant
'c*c'.  That should have been easy!

Here's the output from your (2 year old!) Risch'd tree:

In [1]: c=symbols('c')

In [2]: integrate(1/sqrt(1+x*x),x)
Out[2]: asinh(x)

In [3]: integrate(1/sqrt(1+x*x/(c*c)),x)
Out[3]:
       ⎛x⎞
c⋅asinh⎜─⎟
       ⎝c⎠

In [4]:


Much better!  A merge of this code should be a very high priority, and
I'm willing to help out.

John Hoebing



On Mar 11, 11:01 pm, Aaron Meurer <[email protected]> wrote:
> I worked on the Risch algorithm for GSoC over the summer of 2010.  The
> work hasn't been merged yet, but you can find it 
> athttps://github.com/asmeurer/sympy/tree/integration3, and details of
> what was done are 
> athttps://github.com/sympy/sympy/wiki/GSoC-2010-Risch-Integration-Report,
> and in blog posts I made throughout the summer at my blog
> (http://asmeurersympy.wordpress.com/).  Let me know if you have any
> questions.
>
> Aaron Meurer
>
>
>
>
>
>
>
> On Sun, Mar 11, 2012 at 9:51 PM, Raman Garg <[email protected]> wrote:
> > Hi,
> >    I am a second year student of Netaji Subhas Institue of
> > Technology(under Delhi University),India.My major is Instrumentation
> > and Control engineering.I am good in "Data Structures and
> > Algorithms",as for the current project.Besides this I am good in
> > Linux,CSS etc..
>
> >   I am programming for the past five years and have experience in C/C+
> > +.In my day to day life I spend a lot of time in cracking computing
> > puzzles and won various awards in my college.
>
> > Idea for the GSOC:
> > I liked  "SYMBOLIC COMPUTATION OF INTEGRALS BY RECURRENCE" ,and am
> > interested in implementing the same.I first saw this idea on project
> > ideas page.
>
> > I have gone through the concept of the above idea,but don't know how
> > much of it is implemented before.Okay coming to the point ,how should
> > I start writing codes for it and what to study next as I have studied
> > its algorithm.
>
> > thanks
> > Raman Gupta
>
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