flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2011 Fredrik Johansson

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include "ulong_extras.h"
#include "nmod_poly.h"
#include "nmod_poly_mat.h"

#define KS_MIN_DIM 10
#define INTERPOLATE_MIN_DIM 60
#define KS_MAX_LENGTH 128

void
nmod_poly_mat_mul(nmod_poly_mat_t C, const nmod_poly_mat_t A,
    const nmod_poly_mat_t B)
{
    slong ar, bc, br;
    ulong dim;

    ar = A->r;
    br = B->r;
    bc = B->c;

    dim = FLINT_MIN(FLINT_MIN(ar, br), bc);

    if (dim < KS_MIN_DIM)
    {
        nmod_poly_mat_mul_classical(C, A, B);
    }
    else
    {
        slong Alen, Blen;
        ulong mod = nmod_poly_mat_modulus(A);

        Alen = nmod_poly_mat_max_length(A);
        Blen = nmod_poly_mat_max_length(B);

        if ((FLINT_BIT_COUNT(mod) > FLINT_BITS / 4)
            && (dim > INTERPOLATE_MIN_DIM + n_sqrt(FLINT_MIN(Alen, Blen)))
            && (mod >= (ulong) (Alen + Blen - 1)) && n_is_prime(mod))
            nmod_poly_mat_mul_interpolate(C, A, B);

        else if (Alen > KS_MAX_LENGTH || Blen > KS_MAX_LENGTH)
            nmod_poly_mat_mul_classical(C, A, B);
        else
            nmod_poly_mat_mul_KS(C, A, B);
    }
}