flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright 2009 William Hart
    Copyright 2010,2011 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 "profiler.h"
#include "fmpz_mat.h"
#include "fmpz.h"
#include "ulong_extras.h"

typedef struct
{
    ulong dim;
    int algorithm;
    slong bits;
} mat_mul_t;


void sample(void * arg, ulong count)
{
    mat_mul_t * params = (mat_mul_t *) arg;
    ulong i, dim = params->dim;
    slong bits = params->bits;
    int algorithm = params->algorithm;
    fmpz_mat_t A;
    fmpz_t d;
    FLINT_TEST_INIT(state);


    fmpz_mat_init(A, dim, dim);
    fmpz_init(d);

    fmpz_mat_randtest(A, state, bits);

    prof_start();

    if (algorithm == 0)
        for (i = 0; i < count; i++)
            fmpz_mat_det_bareiss(d, A);
    else if (algorithm == 1)
        for (i = 0; i < count; i++)
            fmpz_mat_det_modular(d, A, 1);
    else if (algorithm == 2)
        for (i = 0; i < count; i++)
            fmpz_mat_det_modular_accelerated(d, A, 1);

    prof_stop();

    fmpz_mat_clear(A);
    fmpz_clear(d);

    FLINT_TEST_CLEAR(state);
}

int main(void)
{
    double min_classical, min_modular, min_modular_2, max;
    mat_mul_t params;
    slong dim, bits;

    params.bits = 200;

    for (bits = 2; bits <= 4096; bits *= 2)
    {
        params.bits = bits;
        flint_printf("fmpz_mat_det (bits = %wd):\n", params.bits);

        for (dim = 2; dim <= 512; dim = (slong) ((double) dim * 1.1) + 1)
        {
            params.dim = dim;

            params.algorithm = 0;
            prof_repeat(&min_classical, &max, sample, &params);

            params.algorithm = 1;
            prof_repeat(&min_modular, &max, sample, &params);

            params.algorithm = 2;
            prof_repeat(&min_modular_2, &max, sample, &params);

            flint_printf("dim = %wd classical/modular/acc. %.2f %.2f %.2f (us)\n",
                dim, min_classical, min_modular, min_modular_2);

            if (min_modular > 1.1*min_modular_2)
                break;
        }
    }

    return 0;
}