Пример #1
0
int
main(void)
{
    int i, result;
    flint_rand_t state;

    printf("content....");
    fflush(stdout);

    flint_randinit(state);

    /* Check that content(a f) = abs(a) content(f) */
    for (i = 0; i < 10000; i++)
    {
        fmpq_poly_t f, g;
        fmpq_t a, b, c;

        fmpq_poly_init(f);
        fmpq_poly_init(g);

        fmpq_init(a);
        fmpq_init(b);
        fmpq_init(c);

        fmpq_poly_randtest_not_zero(f, state, n_randint(state, 100) + 1, 100);
        fmpq_randtest_not_zero(a, state, 100);

        fmpq_poly_scalar_mul_fmpq(g, f, a);
        fmpq_poly_content(b, g);
        fmpq_poly_content(c, f);
        fmpq_mul(c, a, c);
        fmpq_abs(c, c);

        result = (fmpq_equal(b, c));
        if (!result)
        {
            printf("FAIL:\n");
            fmpq_poly_print(f), printf("\n\n");
            fmpq_poly_print(g), printf("\n\n");
            fmpq_print(a), printf("\n\n");
            fmpq_print(b), printf("\n\n");
            fmpq_print(c), printf("\n\n");
            abort();
        }

        fmpq_poly_clear(f);
        fmpq_poly_clear(g);
        fmpq_clear(a);
        fmpq_clear(b);
        fmpq_clear(c);
    }

    flint_randclear(state);
    _fmpz_cleanup();
    printf("PASS\n");
    return 0;
}
Пример #2
0
int main()
{
    long iter;
    flint_rand_t state;

    printf("interpolate_fast....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 10000; iter++)
    {
        long i, n, qbits1, qbits2, rbits1, rbits2, rbits3;
        fmpq_poly_t P;
        arb_poly_t R, S;
        fmpq_t t, u;
        arb_ptr xs, ys;

        fmpq_poly_init(P);
        arb_poly_init(R);
        arb_poly_init(S);
        fmpq_init(t);
        fmpq_init(u);

        qbits1 = 2 + n_randint(state, 200);
        qbits2 = 2 + n_randint(state, 5);
        rbits1 = 2 + n_randint(state, 200);
        rbits2 = 2 + n_randint(state, 200);
        rbits3 = 2 + n_randint(state, 200);

        fmpq_poly_randtest(P, state, 1 + n_randint(state, 20), qbits1);
        n = P->length;

        xs = _arb_vec_init(n);
        ys = _arb_vec_init(n);

        arb_poly_set_fmpq_poly(R, P, rbits1);

        if (n > 0)
        {
            fmpq_randtest(t, state, qbits2);
            arb_set_fmpq(xs, t, rbits2);

            for (i = 1; i < n; i++)
            {
                fmpq_randtest_not_zero(u, state, qbits2);
                fmpq_abs(u, u);
                fmpq_add(t, t, u);
                arb_set_fmpq(xs + i, t, rbits2);
            }
        }

        for (i = 0; i < n; i++)
            arb_poly_evaluate(ys + i, R, xs + i, rbits2);

        arb_poly_interpolate_fast(S, xs, ys, n, rbits3);

        if (!arb_poly_contains_fmpq_poly(S, P))
        {
            printf("FAIL:\n");
            printf("P = "); fmpq_poly_print(P); printf("\n\n");
            printf("R = "); arb_poly_printd(R, 15); printf("\n\n");
            printf("S = "); arb_poly_printd(S, 15); printf("\n\n");
            abort();
        }

        fmpq_poly_clear(P);
        arb_poly_clear(R);
        arb_poly_clear(S);
        fmpq_clear(t);
        fmpq_clear(u);
        _arb_vec_clear(xs, n);
        _arb_vec_clear(ys, n);
    }

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