What is the general procedure for implementing an interface with flint?

On Saturday, March 28, 2026 at 4:43:11 PM UTC-4 vdelecroix wrote:

> I confirm Fredrik diagnostic
>
> sage: type(M1)
> <class 'sage.matrix.matrix_generic_dense.Matrix_generic_dense'>
>
> It is a pity that flint fmpz_mod_mat and mpn_mod_mat are not
> interfaced (and used) in Sagemath!
>
> On Sat, 28 Mar 2026 at 15:02, Fredrik Johansson
> <[email protected]> wrote:
> >
> > On Saturday, March 28, 2026 at 11:53:40 AM UTC+1 Georgi Guninski wrote:
> >
> > I believed that matrix multiplication and squaring to be significantly
> > faster over GF(p) instead over ZZ.
> >
> >
> > Numerical evidence supports the opposite, is it a bug or reality?
> >
> > Session:
> >
> > def randmat(N,K): return Matrix(K,N,N,[K.random_element() for _ in 
> range(N^2)])
> > N=200
> > Kq=GF(next_prime(2^200))
> > M1=randmat(N,Kq)
> > %time MsZZ=M1.change_ring(ZZ)^2 #Wall time: 188 ms
> > %time Msqu=M1^2 #Wall time: 7.75 s
> >
> >
> > I would expect matrix multiplication to be around as fast over GF(p) and 
> ZZ if the entries are the same. Large-p GF(p) matrices being a lot slower 
> in Sage is surely because they use a generic matrix implementation rather 
> than a specialized one.
> >
> > With current FLINT on my machine squaring a 200x200 matrix with 200-bit 
> entries costs as follows:
> >
> > 0.032 seconds over ZZ with fmpz_mat
> > 0.035 seconds over GF(p) with fmpz_mod_mat
> > 0.029 seconds over GF(p) with mpn_mod_mat
> >
> > Fredrik
> >
> >
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>

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