I don't see what is wrong in your example.  If you want vectors in
RR^2, replace ZZ^2 with RR^2 in the input line.

John

On 5 June 2012 09:01, Jan Pöschko <[email protected]> wrote:
> Hi everyone,
>
> I am working on the Summer of Code Lattices project and ran into a problem
> when trying to subclass Lattice from FreeModule_submodule_with_basis_pid. If
> I'm getting it right, the coefficient ring R is to be specified as parameter
> ambient (in the form R^n), followed by the basis vectors in K^n. Now I don't
> understand why the basis is coerced to the fraction field of R (if not R
> itself), e.g.
>
> sage: from sage.modules.free_module import
> FreeModule_submodule_with_basis_pid as FMs
> sage: FMs(ZZ^2, [(0.5,0.25), (1.0,0)])
> Free module of degree 2 and rank 2 over Integer Ring
> User basis matrix:
> [1/2 1/4]
> [  1   0]
>
> I would like to allow creating lattices of points in RR^n (the real vector
> space) with integer coefficients (ZZ), which is probably the most common
> form of point lattices. As lattices really are free modules, it would be
> good to inherit from them, but with the basis being kept in RR^n if given
> therein.
>
> I tried a workaround by disabling checking and echelonization of the basis
> (see the details of my approach), but this doesn't work actually.
>
> Is there a reason why FreeModule is restricted in this way? Should it be
> patched? Or should lattices subclass from something else?
>
> Thanks,
> Jan
>
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