flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2020, 2021 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 "ca_poly.h"

/* Defined in t-div_series.c, t-exp_series.c, t-inv_series.c, t-mul.c */
#ifndef ca_poly_randtest_same_nf
#define ca_poly_randtest_same_nf ca_poly_randtest_same_nf
void
ca_poly_randtest_same_nf(ca_poly_t res, flint_rand_t state, const ca_t x, slong len, slong bits, slong den_bits, ca_ctx_t ctx)
{
    slong i;
    fmpz_t t;

    ca_poly_fit_length(res, len, ctx);
    for (i = 0; i < len; i++)
        ca_randtest_same_nf(res->coeffs + i, state, x, bits, 1, ctx);
    _ca_poly_set_length(res, len, ctx);
    _ca_poly_normalise(res, ctx);

    fmpz_init(t);
    fmpz_randtest_not_zero(t, state, den_bits);
    ca_poly_div_fmpz(res, res, t, ctx);
    fmpz_clear(t);
}
#endif

TEST_FUNCTION_START(ca_poly_mul, state)
{
    slong iter;

    for (iter = 0; iter < 300 * 0.1 * flint_test_multiplier(); iter++)
    {
        ca_ctx_t ctx;
        ca_poly_t A, B, C, ABC, AB, AC, ABAC;

        /* Test A*(B+C) = A*B + A*C */
        ca_ctx_init(ctx);

        ca_poly_init(A, ctx);
        ca_poly_init(B, ctx);
        ca_poly_init(C, ctx);
        ca_poly_init(ABC, ctx);
        ca_poly_init(AB, ctx);
        ca_poly_init(AC, ctx);
        ca_poly_init(ABAC, ctx);

        if (n_randint(state, 2))
        {
            ca_poly_randtest(A, state, 4, 2, 10, ctx);
            ca_poly_randtest(B, state, 4, 2, 10, ctx);
            ca_poly_randtest(C, state, 4, 2, 10, ctx);
        }
        else
        {
            qqbar_t t;
            ca_t x;

            qqbar_init(t);
            ca_init(x, ctx);

            qqbar_randtest(t, state, 8, 10);
            ca_set_qqbar(x, t, ctx);

            ca_poly_randtest_same_nf(A, state, x, 1 + n_randint(state, 20), 2 + n_randint(state, 100), 2 + n_randint(state, 100), ctx);
            ca_poly_randtest_same_nf(B, state, x, 1 + n_randint(state, 20), 2 + n_randint(state, 100), 2 + n_randint(state, 100), ctx);
            ca_poly_randtest_same_nf(C, state, x, 1 + n_randint(state, 20), 2 + n_randint(state, 100), 2 + n_randint(state, 100), ctx);

            qqbar_clear(t);
            ca_clear(x, ctx);
        }

        ca_poly_randtest(ABC, state, 4, 2, 10, ctx);
        ca_poly_randtest(AB, state, 4, 2, 10, ctx);
        ca_poly_randtest(AC, state, 4, 2, 10, ctx);
        ca_poly_randtest(ABAC, state, 4, 2, 10, ctx);

        ca_poly_add(ABC, B, C, ctx);
        if (n_randint(state, 2))
            ca_poly_mul(ABC, A, ABC, ctx);
        else
            ca_poly_mul(ABC, ABC, A, ctx);

        ca_poly_mul(AB, A, B, ctx);
        ca_poly_mul(AC, A, C, ctx);
        ca_poly_add(ABAC, AB, AC, ctx);

        if (ca_poly_check_equal(ABC, ABAC, ctx) == T_FALSE)
        {
            flint_printf("FAIL\n\n");
            flint_printf("A = "); ca_poly_print(A, ctx); flint_printf("\n");
            flint_printf("B = "); ca_poly_print(B, ctx); flint_printf("\n");
            flint_printf("C = "); ca_poly_print(C, ctx); flint_printf("\n");
            flint_printf("ABC = "); ca_poly_print(ABC, ctx); flint_printf("\n");
            flint_printf("ABAC = "); ca_poly_print(ABAC, ctx); flint_printf("\n");
            flint_abort();
        }

        /* Test A^2 = A * A */
        ca_poly_set(B, A, ctx);
        ca_poly_mul(AB, A, B, ctx);
        ca_poly_mul(AC, A, A, ctx);

        if (ca_poly_check_equal(AB, AC, ctx) == T_FALSE)
        {
            flint_printf("FAIL (squaring)\n\n");
            flint_printf("A = "); ca_poly_print(A, ctx); flint_printf("\n");
            flint_printf("AB = "); ca_poly_print(AB, ctx); flint_printf("\n");
            flint_printf("AC = "); ca_poly_print(AC, ctx); flint_printf("\n");
            flint_abort();
        }

        ca_poly_clear(A, ctx);
        ca_poly_clear(B, ctx);
        ca_poly_clear(C, ctx);
        ca_poly_clear(ABC, ctx);
        ca_poly_clear(AB, ctx);
        ca_poly_clear(AC, ctx);
        ca_poly_clear(ABAC, ctx);

        ca_ctx_clear(ctx);
    }

    TEST_FUNCTION_END(state);
}