flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2009 William Hart
    Copyright (C) 2010 Sebastian Pancratz

    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 "fmpq_poly.h"

TEST_FUNCTION_START(fmpq_poly_divrem, state)
{
    int i, result;
    ulong cflags = UWORD(0);

    /* Check aliasing of {q,r} and {a,b} */
    for (i = 0; i < 200 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t A, B;
        fmpq_poly_t a, b, q, r;

        fmpq_poly_init(A);
        fmpq_poly_init(B);
        fmpq_poly_init(a);
        fmpq_poly_init(b);
        fmpq_poly_init(q);
        fmpq_poly_init(r);

        fmpq_poly_randtest(A, state, n_randint(state, 50), 200);
        fmpq_poly_randtest_not_zero(B, state, n_randint(state, 50) + 1, 200);
        fmpq_poly_set(a, A);
        fmpq_poly_set(b, B);

        fmpq_poly_divrem(q, r, a, b);
        fmpq_poly_divrem(a, b, a, b);

        cflags |= fmpq_poly_is_canonical(q) ? 0 : 1;
        cflags |= fmpq_poly_is_canonical(a) ? 0 : 2;
        result = (fmpq_poly_equal(q, a)) && (fmpq_poly_equal(r, b)) && !cflags;
        if (!result)
        {
            flint_printf("FAIL (aliasing {q,r} and {a,b}):\n\n");
            flint_printf("A = "), fmpq_poly_debug(A), flint_printf("\n\n");
            flint_printf("B = "), fmpq_poly_debug(B), flint_printf("\n\n");
            flint_printf("q = "), fmpq_poly_debug(q), flint_printf("\n\n");
            flint_printf("r = "), fmpq_poly_debug(r), flint_printf("\n\n");
            flint_printf("a = "), fmpq_poly_debug(a), flint_printf("\n\n");
            flint_printf("b = "), fmpq_poly_debug(b), flint_printf("\n\n");
            flint_printf("cflags = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(A);
        fmpq_poly_clear(B);
        fmpq_poly_clear(a);
        fmpq_poly_clear(b);
        fmpq_poly_clear(q);
        fmpq_poly_clear(r);
    }

    /* Check aliasing of {q,r} and {b,a} */
    for (i = 0; i < 200 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t a, b, q, r;

        fmpq_poly_init(a);
        fmpq_poly_init(b);
        fmpq_poly_init(q);
        fmpq_poly_init(r);
        fmpq_poly_randtest(a, state, n_randint(state, 50), 200);
        fmpq_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 200);

        fmpq_poly_divrem(q, r, a, b);
        fmpq_poly_divrem(b, a, a, b);

        cflags |= fmpq_poly_is_canonical(q) ? 0 : 1;
        cflags |= fmpq_poly_is_canonical(b) ? 0 : 2;
        result = (fmpq_poly_equal(q, b)) && (fmpq_poly_equal(r, a)) && !cflags;
        if (!result)
        {
            flint_printf("FAIL (aliasing of {q,r} and {b,a}):\n\n");
            flint_printf("q = "), fmpq_poly_debug(q), flint_printf("\n\n");
            flint_printf("r = "), fmpq_poly_debug(r), flint_printf("\n\n");
            flint_printf("a = "), fmpq_poly_debug(a), flint_printf("\n\n");
            flint_printf("b = "), fmpq_poly_debug(b), flint_printf("\n\n");
            flint_printf("cflags = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(a);
        fmpq_poly_clear(b);
        fmpq_poly_clear(q);
        fmpq_poly_clear(r);
    }

    /* check a = q b + r */
    for (i = 0; i < 200 * flint_test_multiplier(); i++)
    {
        fmpq_poly_t a, b, q, r, rhs;

        fmpq_poly_init(a);
        fmpq_poly_init(b);
        fmpq_poly_init(q);
        fmpq_poly_init(r);
        fmpq_poly_init(rhs);
        fmpq_poly_randtest(a, state, n_randint(state, 50), 200);
        fmpq_poly_randtest_not_zero(b, state, n_randint(state, 50) + 1, 200);

        fmpq_poly_divrem(q, r, a, b);
        fmpq_poly_mul(rhs, q, b);
        fmpq_poly_add(rhs, rhs, r);

        cflags |= fmpq_poly_is_canonical(q)   ? 0 : 1;
        cflags |= fmpq_poly_is_canonical(rhs) ? 0 : 2;
        result = fmpq_poly_equal(a, rhs) && !cflags;
        if (!result)
        {
            flint_printf("FAIL (a == q b + r):\n\n");
            flint_printf("a       = "), fmpq_poly_debug(a), flint_printf("\n\n");
            flint_printf("b       = "), fmpq_poly_debug(b), flint_printf("\n\n");
            flint_printf("q       = "), fmpq_poly_debug(q), flint_printf("\n\n");
            flint_printf("r       = "), fmpq_poly_debug(r), flint_printf("\n\n");
            flint_printf("q b + r = "), fmpq_poly_debug(rhs), flint_printf("\n\n");
            flint_printf("cflags  = %wu\n\n", cflags);
            fflush(stdout);
            flint_abort();
        }

        fmpq_poly_clear(a);
        fmpq_poly_clear(b);
        fmpq_poly_clear(q);
        fmpq_poly_clear(r);
        fmpq_poly_clear(rhs);
    }

    TEST_FUNCTION_END(state);
}