On March 29, 2026 8:37:54 AM CDT, 'Trevor Karn' via sage-devel
<[email protected]> wrote:
>What is the general procedure for implementing an interface with flint?
Basically, adding more cython code.
But perhaps Sage can switch to using
<https://github.com/flintlib/python-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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