arb/arb_poly/test/t-evaluate2_rectangular.c

/*
    Copyright (C) 2012, 2013 Fredrik Johansson

    This file is part of Arb.

    Arb 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 2.1 of the License, or
    (at your option) any later version.  See <http://www.gnu.org/licenses/>.
*/

#include "arb_poly.h"

int main()
{
    slong iter;
    flint_rand_t state;

    flint_printf("evaluate2_rectangular....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arb_poly_t f, g;
        arb_t x, y1, z1, y2, z2;

        arb_init(x);
        arb_init(y1);
        arb_init(z1);
        arb_init(y2);
        arb_init(z2);
        arb_poly_init(f);
        arb_poly_init(g);

        arb_randtest(x, state, 2 + n_randint(state, 1000), 5);
        arb_poly_randtest(f, state, 2 + n_randint(state, 100), 2 + n_randint(state, 1000), 5);
        arb_poly_derivative(g, f, 2 + n_randint(state, 1000));

        arb_poly_evaluate2_rectangular(y1, z1, f, x, 2 + n_randint(state, 1000));

        arb_poly_evaluate_horner(y2, f, x, 2 + n_randint(state, 1000));
        arb_poly_evaluate_horner(z2, g, x, 2 + n_randint(state, 1000));

        if (!arb_overlaps(y1, y2) || !arb_overlaps(z1, z2))
        {
            flint_printf("FAIL\n\n");
            flint_printf("f = "); arb_poly_printd(f, 15); flint_printf("\n\n");
            flint_printf("g = "); arb_poly_printd(g, 15); flint_printf("\n\n");
            flint_printf("x = "); arb_printd(x, 15); flint_printf("\n\n");
            flint_printf("y1 = "); arb_printd(y1, 15); flint_printf("\n\n");
            flint_printf("z1 = "); arb_printd(z1, 15); flint_printf("\n\n");
            flint_printf("y2 = "); arb_printd(y2, 15); flint_printf("\n\n");
            flint_printf("z2 = "); arb_printd(z2, 15); flint_printf("\n\n");
            flint_abort();
        }

        arb_poly_clear(f);
        arb_poly_clear(g);
        arb_clear(x);
        arb_clear(y1);
        arb_clear(z1);
        arb_clear(y2);
        arb_clear(z2);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}