flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2011, 2021, 2022 William Hart
    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/>.
*/

#ifdef T

#include "test_helpers.h"
#include "templates.h"
#include "fmpz.h"

TEST_TEMPLATE_FUNCTION_START(T, poly_invsqrt_series, state)
{
    int i, result;

    /* Check 1/g^2 = h mod x^m */
    for (i = 0; i < 100 * flint_test_multiplier(); i++)
    {
        TEMPLATE(T, poly_t) h, g, r;
        slong m;
        TEMPLATE(T, ctx_t) ctx;
        TEMPLATE(T, t) c;

        TEMPLATE(T, ctx_init_randtest)(ctx, state, 3);

        TEMPLATE(T, init)(c, ctx);

        TEMPLATE(T, poly_init)(h, ctx);
        TEMPLATE(T, poly_init)(g, ctx);
        TEMPLATE(T, poly_init)(r, ctx);

        do TEMPLATE(T, poly_randtest)(h, state, n_randint(state, 30), ctx);
        while (h->length == 0);
        TEMPLATE(T, set_ui)(c, 1, ctx);
        TEMPLATE(T, poly_set_coeff)(h, 0, c, ctx);

        m = n_randint(state, h->length) + 1;

        TEMPLATE(T, poly_invsqrt_series)(g, h, m, ctx);

        TEMPLATE(T, poly_mullow)(r, g, g, m, ctx);
        TEMPLATE(T, poly_inv_series)(r, r, m, ctx);
        TEMPLATE(T, poly_truncate)(h, m, ctx);

        result = TEMPLATE(T, poly_equal)(r, h, ctx);
#if defined(FQ_NMOD_POLY_H) || defined(FQ_ZECH_POLY_H)
        result = result || TEMPLATE(T, ctx_prime)(ctx) == 2;
#else
        result = result || fmpz_cmp_ui(TEMPLATE(T, ctx_prime)(ctx), 2) == 0;
#endif

        if (!result)
        {
            flint_printf("FAIL:\n");
            TEMPLATE(T, poly_print)(h, ctx), flint_printf("\n\n");
            TEMPLATE(T, poly_print)(g, ctx), flint_printf("\n\n");
            TEMPLATE(T, poly_print)(r, ctx), flint_printf("\n\n");
#if defined(FQ_NMOD_POLY_H) || defined(FQ_ZECH_POLY_H)
            flint_printf("n = %wu\n", TEMPLATE(T, ctx_prime)(ctx));
#else
            flint_printf("n = ");
            fmpz_print(TEMPLATE(T, ctx_prime)(ctx));
            flint_printf("\n");
#endif
            fflush(stdout);
            flint_abort();
        }

        TEMPLATE(T, poly_clear)(h, ctx);
        TEMPLATE(T, poly_clear)(g, ctx);
        TEMPLATE(T, poly_clear)(r, ctx);

        TEMPLATE(T, clear)(c, ctx);

        TEMPLATE(T, ctx_clear)(ctx);
    }

    /* Check aliasing of h and g */
    for (i = 0; i < 10 * flint_test_multiplier(); i++)
    {
        TEMPLATE(T, poly_t) g, h;
        slong m;
        TEMPLATE(T, ctx_t) ctx;
        TEMPLATE(T, t) c;

        TEMPLATE(T, ctx_init_randtest)(ctx, state, 3);

        TEMPLATE(T, init)(c, ctx);

        TEMPLATE(T, poly_init)(h, ctx);
        TEMPLATE(T, poly_init)(g, ctx);

        do TEMPLATE(T, poly_randtest)(h, state, n_randint(state, 20), ctx);
        while (h->length == 0);

        TEMPLATE(T, set_ui)(c, 1, ctx);
        TEMPLATE(T, poly_set_coeff)(h, 0, c, ctx);

        m = n_randint(state, h->length) + 1;

        TEMPLATE(T, poly_invsqrt_series)(g, h, m, ctx);
        TEMPLATE(T, poly_invsqrt_series)(h, h, m, ctx);

        result = TEMPLATE(T, poly_equal)(g, h, ctx);
#if defined(FQ_NMOD_POLY_H) || defined(FQ_ZECH_POLY_H)
        result = result || TEMPLATE(T, ctx_prime)(ctx) == 2;
#else
        result = result || fmpz_cmp_ui(TEMPLATE(T, ctx_prime)(ctx), 2) == 0;
#endif
        if (!result)
        {
            flint_printf("FAIL:\n");
            TEMPLATE(T, poly_print)(h, ctx), flint_printf("\n\n");
            TEMPLATE(T, poly_print)(g, ctx), flint_printf("\n\n");
#if defined(FQ_NMOD_POLY_H) || defined(FQ_ZECH_POLY_H)
            flint_printf("n = %wu\n", TEMPLATE(T, ctx_prime)(ctx));
#else
            flint_printf("n = ");
            fmpz_print(TEMPLATE(T, ctx_prime)(ctx));
            flint_printf("\n");
#endif
            flint_printf("m = %wd\n", m);
            fflush(stdout);
            flint_abort();
        }

        TEMPLATE(T, poly_clear)(g, ctx);
        TEMPLATE(T, poly_clear)(h, ctx);

        TEMPLATE(T, clear)(c, ctx);

        TEMPLATE(T, ctx_clear)(ctx);
    }

    TEST_FUNCTION_END(state);
}
#endif