It doesn't totally make sense to me that you would have integer variables
with real coefficients. If the coefficients are irrational and are not
scaled versions of each other, then the problem is impossible. Otherwise,
you can just scale them by a common factor and make them integers. For
instance, you could turn 3.1111x + 2.2222y = 8.44444 into 28x + 20y = 76.

--Alex


On Tue, Jun 10, 2014 at 2:30 PM, cej38 <junkerme...@gmail.com> wrote:

> I picked a toy problem that was really easy to solve, figuring that once I
> had the idea down, I would be able to easily change the equation to the one
> that I am interested in solving.  In moving to my real problem I hit the
> next snag I can't use real numbers within the equation.  I note that the
> equation hasn't changed, the values of x and y are still non-negative
> integers.
>
> (run* [q]
>   (fresh [x y]
>     (fd/in x y (fd/interval 0 9))
>     (fd/eq
>       (= (+ (* x 3.) (* y 2.)) 8.))
>     (== q [x y])))
>
> In my real problem I expect that I could have something like
>
> (run* [q]
>   (fresh [x y]
>     (fd/in x y (fd/interval 0 9))
>     (fd/eq
>       (= (+ (* x 3.1111) (* y 2.2222)) 8.4444))
>     (== q [x y])))
>
> Is there away to do this?
>
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