Yes, I have been thinking about that too. I didn't find a workaround to that
problem. I'll take a look at the link you have given.

Thank you for the reply


On Wed, Jun 19, 2013 at 12:37 AM, Aaron Meurer <asmeu...@gmail.com> wrote:

> You may want to look at
> https://code.google.com/p/sympy/issues/detail?id=3560 and some of the
> ideas for a unified solve object. Already you have the issue that you
> are returning a parameter, but there is no easy way to access that
> parameter (and what happens if t is one of the variables?).
>
> Aaron Meurer
>
> On Tue, Jun 18, 2013 at 1:39 PM, Thilina Rathnayake
> <thilina.r...@gmail.com> wrote:
> > Hi everyone,
> >
> > Before continuing further with the Diophantine module development (PR
> #2168)
> > I thought it would be better for me to get other people's views on the
> > representation
> > of solutions returned by diop_solve().
> >
> > The main routine of the module is diop_solve(), which takes a Diophantine
> > equation
> > as an argument and returns the solution of the equation. Currently the
> > solution is
> > returned as a dictionary. Ex:
> >
> >> >>>diop_solve(4*x + 6*y - 4)
> >> {x: 6*t - 2, y: -4*t + 2}
> >> >>>diop_solve(3*x - 5*y + 7*z -5)
> >> {x: -25*t - 14*z + 10, y: -15*t - 7*z + 5, z: z}
> >
> >
> > Everything works fine here because the solutions are parametric.
> >
> > But when I was trying to solve quadratic Diophantine equation ( this has
> the
> > form
> > Ax**2 + Bxy + Cy**2 + Dx + Ey + F), they involve solutions which are not
> > parametric.
> > For example, the equation 2*x*y + 5*x + 56*y + 7 = 0 (which is a special
> > case of the
> > quadratic equation) has 8 solution pairs (x, y). (-27, 64), (-29, -69),
> > (-21, 7) and five more.
> >
> > To represent these in a dictionary which has the above form, we have to
> > split the solution
> > pair and put it in to two lists which are keyed under x and y in the
> dict.
> > if the user want
> > to retrieve a solution pair he would have to find the x value and the y
> > value of the solution
> > separately. Returned value would look like,
> >
> >> {x: [-27, -29, -21, ...], y: [64, -69, 7, ...]}
> >
> >
> > Is this a good way to cope with this situation? I personally feel that
> it is
> > not natural to
> > split a solution pair and enable the access of it's elements separately.
> >
> > I would like to know what the others have to say on this.
> >
> > Regards,
> > Thilina
> >
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