flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2023 Jean Kieffer

    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 "test_helpers.h"
#include "fmpz_mat.h"
#include "arb_mat.h"

TEST_FUNCTION_START(arb_mat_spd_lll_reduce, state)
{
    slong iter;

    /* Test: result satisfies arb_mat_spd_is_lll_reduced; U is I if starting
       matrix was reduced */
    for (iter = 0; iter < 500 * flint_test_multiplier(); iter++)
    {
        slong g = 1 + n_randint(state, 4);
        slong prec = 200 + n_randint(state, 500);
        slong mag_bits = 1 + n_randint(state, 5);
        arb_mat_t M;
        arb_mat_t R;
        arb_mat_t T;
        fmpz_mat_t U;

        arb_mat_init(M, g, g);
        arb_mat_init(R, g, g);
        arb_mat_init(T, g, g);
        fmpz_mat_init(U, g, g);

        arb_mat_randtest_spd(M, state, prec, mag_bits);
        arb_mat_spd_lll_reduce(U, M, 0.99, 0.51, prec);

        arb_mat_set_fmpz_mat(T, U);
        arb_mat_mul(R, T, M, prec);
        arb_mat_transpose(T, T);
        arb_mat_mul(R, R, T, prec);

        if (!arb_mat_spd_is_lll_reduced(R, 0.989, 0.511, prec))
        {
            flint_printf("FAIL (reduction)\n");
            arb_mat_printd(M, 10);
            arb_mat_printd(R, 10);
            fmpz_mat_print_pretty(U);
            flint_printf("\n");
            flint_abort();
        }

        if (arb_mat_spd_is_lll_reduced(M, 1.01, 0.499, prec)
            && !fmpz_mat_is_one(U))
        {
            flint_printf("FAIL (identity)\n");
            arb_mat_printd(M, 10);
            fmpz_mat_print_pretty(U);
            flint_printf("\n");
            flint_abort();
        }

        arb_mat_clear(M);
        arb_mat_clear(R);
        arb_mat_clear(T);
        fmpz_mat_clear(U);
    }

    TEST_FUNCTION_END(state);
}