flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2013 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 "test_helpers.h"
#include "acb_poly.h"
#include "acb_hypgeom.h"

TEST_FUNCTION_START(acb_hypgeom_shi_series, state)
{
    slong iter;

    for (iter = 0; iter < 200 * 0.1 * flint_test_multiplier(); iter++)
    {
        slong m, n1, n2, n3, bits1, bits2, bits3;
        acb_poly_t S, A, B, C, T, U;

        bits1 = 2 + n_randint(state, 200);
        bits2 = 2 + n_randint(state, 200);
        bits3 = 2 + n_randint(state, 200);

        m = 1 + n_randint(state, 10);
        n1 = 1 + n_randint(state, 10);
        n2 = 1 + n_randint(state, 10);
        n3 = FLINT_MIN(n1, n2);

        acb_poly_init(S);
        acb_poly_init(A);
        acb_poly_init(B);
        acb_poly_init(C);
        acb_poly_init(T);
        acb_poly_init(U);

        acb_poly_randtest(S, state, m, bits1, 3);
        acb_poly_randtest(A, state, m, bits1, 3);
        acb_poly_randtest(B, state, m, bits1, 3);

        acb_hypgeom_shi_series(A, S, n1, bits2);
        acb_hypgeom_shi_series(B, S, n2, bits3);

        acb_poly_set(C, A);
        acb_poly_truncate(C, n3);
        acb_poly_truncate(B, n3);

        /* [Shi(h(x))]' h(x) = sinh(h(x)) h'(x) */
        acb_poly_sinh_series(U, S, n3, bits2);
        acb_poly_derivative(T, S, bits2);
        acb_poly_mullow(U, U, T, FLINT_MAX(0, n3 - 1), bits2);

        acb_poly_derivative(T, A, bits2);
        acb_poly_mullow(T, T, S, FLINT_MAX(0, n3 - 1), bits2);

        if (!acb_poly_overlaps(B, C) || !acb_poly_overlaps(T, U))
        {
            flint_printf("FAIL\n\n");
            flint_printf("S = "); acb_poly_printd(S, 15); flint_printf("\n\n");
            flint_printf("A = "); acb_poly_printd(A, 15); flint_printf("\n\n");
            flint_printf("B = "); acb_poly_printd(B, 15); flint_printf("\n\n");
            flint_printf("T = "); acb_poly_printd(T, 15); flint_printf("\n\n");
            flint_printf("U = "); acb_poly_printd(U, 15); flint_printf("\n\n");
            flint_abort();
        }

        acb_hypgeom_shi_series(S, S, n1, bits2);

        if (!acb_poly_overlaps(A, S))
        {
            flint_printf("FAIL (aliasing)\n\n");
            flint_abort();
        }

        acb_poly_clear(S);
        acb_poly_clear(A);
        acb_poly_clear(B);
        acb_poly_clear(C);
        acb_poly_clear(T);
        acb_poly_clear(U);
    }

    TEST_FUNCTION_END(state);
}