Пример #1
0
Файл: inv.c Проект: goens/flint2
int fmpq_mat_inv(fmpq_mat_t B, const fmpq_mat_t A)
{
    long n = A->r;

    if (n == 0)
    {
        return 1;
    }
    else if (n == 1)
    {
        if (fmpq_is_zero(fmpq_mat_entry(A, 0, 0)))
            return 0;
        fmpq_inv(fmpq_mat_entry(B, 0, 0), fmpq_mat_entry(A, 0, 0));
        return 1;
    }
    else if (n == 2)
    {
        fmpq_t d;
        int success;

        fmpq_init(d);

        fmpq_mul(d, fmpq_mat_entry(A, 0, 0), fmpq_mat_entry(A, 1, 1));
        fmpq_submul(d, fmpq_mat_entry(A, 0, 1), fmpq_mat_entry(A, 1, 0));
        success = !fmpq_is_zero(d);

        if (success)
        {
            fmpq_t t00, t01, t10, t11;
            fmpq_inv(d, d);

            fmpq_init(t00);
            fmpq_init(t01);
            fmpq_init(t10);
            fmpq_init(t11);

            fmpq_mul(t00, fmpq_mat_entry(A, 1, 1), d);
            fmpq_mul(t01, fmpq_mat_entry(A, 0, 1), d);
            fmpq_mul(t10, fmpq_mat_entry(A, 1, 0), d);
            fmpq_mul(t11, fmpq_mat_entry(A, 0, 0), d);

            fmpq_set(fmpq_mat_entry(B, 0, 0), t00);
            fmpq_neg(fmpq_mat_entry(B, 0, 1), t01);
            fmpq_neg(fmpq_mat_entry(B, 1, 0), t10);
            fmpq_set(fmpq_mat_entry(B, 1, 1), t11);

            fmpq_clear(t00);
            fmpq_clear(t01);
            fmpq_clear(t10);
            fmpq_clear(t11);
        }

        fmpq_clear(d);
        return success;
    }
    else
    {
        fmpz_mat_t Aclear, Bclear, I;
        fmpz * den;
        long i;
        int success;

        fmpz_mat_init(Aclear, n, n);
        fmpz_mat_init(Bclear, n, n);
        fmpz_mat_init(I, n, n);
        den = _fmpz_vec_init(n);

        fmpq_mat_get_fmpz_mat_rowwise(Aclear, den, A);
        for (i = 0; i < n; i++)
            fmpz_set(fmpz_mat_entry(I, i, i), den + i);

        success = fmpz_mat_solve(Bclear, den, Aclear, I);
        if (success)
            fmpq_mat_set_fmpz_mat_div_fmpz(B, Bclear, den);

        fmpz_mat_clear(Aclear);
        fmpz_mat_clear(Bclear);
        fmpz_mat_clear(I);
        _fmpz_vec_clear(den, A->r);

        return success;
    }
}
Пример #2
0
int
main(void)
{
    int i;
    FLINT_TEST_INIT(state);
    

    flint_printf("submul....");
    fflush(stdout);

    /* x -= y * z */
    for (i = 0; i < 10000; i++)
    {
        fmpq_t x, y, z;
        mpq_t X, Y, Z;

        fmpq_init(x);
        fmpq_init(y);
        fmpq_init(z);
        mpq_init(X);
        mpq_init(Y);
        mpq_init(Z);

        fmpq_randtest(x, state, 200);
        fmpq_randtest(y, state, 200);
        fmpq_randtest(z, state, 200);

        fmpq_get_mpq(X, x);
        fmpq_get_mpq(Y, y);
        fmpq_get_mpq(Z, z);

        fmpq_submul(x, y, z);

        if (!fmpq_is_canonical(x))
        {
            flint_printf("FAIL: result not canonical!\n");
            abort();
        }

        mpq_submul(X, Y, Z);
        fmpq_get_mpq(Y, x);

        if (!mpq_equal(X, Y))
        {
            flint_printf("FAIL: fmpq_submul(x,y,z) != mpq_submul(X,Y,Z)\n");
            flint_printf("x = ");
            fmpq_print(x);
            flint_printf("\ny = ");
            fmpq_print(y);
            flint_printf("\nz = ");
            fmpq_print(z);
            flint_printf("\n");
            abort();
        }

        fmpq_clear(x);
        fmpq_clear(y);
        fmpq_clear(z);

        mpq_clear(X);
        mpq_clear(Y);
        mpq_clear(Z);
    }

    /* x -= x * y */
    for (i = 0; i < 10000; i++)
    {
        fmpq_t x, y;
        mpq_t X, Y;

        fmpq_init(x);
        fmpq_init(y);
        mpq_init(X);
        mpq_init(Y);

        fmpq_randtest(x, state, 200);
        fmpq_randtest(y, state, 200);

        fmpq_get_mpq(X, x);
        fmpq_get_mpq(Y, y);

        fmpq_submul(x, x, y);

        if (!fmpq_is_canonical(x))
        {
            flint_printf("FAIL: result not canonical!\n");
            abort();
        }

        mpq_submul(X, X, Y);
        fmpq_get_mpq(Y, x);

        if (!mpq_equal(X, Y))
        {
            flint_printf("FAIL: fmpq_submul(x,x,y) != mpq_submul(X,X,Y)\n");
            flint_printf("x = ");
            fmpq_print(x);
            flint_printf("\ny = ");
            fmpq_print(y);
            flint_printf("\n");
            abort();
        }

        fmpq_clear(x);
        fmpq_clear(y);

        mpq_clear(X);
        mpq_clear(Y);
    }

    /* x -= y * x */
    for (i = 0; i < 10000; i++)
    {
        fmpq_t x, y;
        mpq_t X, Y;

        fmpq_init(x);
        fmpq_init(y);
        mpq_init(X);
        mpq_init(Y);

        fmpq_randtest(x, state, 200);
        fmpq_randtest(y, state, 200);

        fmpq_get_mpq(X, x);
        fmpq_get_mpq(Y, y);

        fmpq_submul(x, y, x);

        if (!fmpq_is_canonical(x))
        {
            flint_printf("FAIL: result not canonical!\n");
            abort();
        }

        mpq_submul(X, Y, X);
        fmpq_get_mpq(Y, x);

        if (!mpq_equal(X, Y))
        {
            flint_printf("FAIL: fmpq_submul(x,y,x) != mpq_submul(X,Y,X)\n");
            flint_printf("x = ");
            fmpq_print(x);
            flint_printf("\ny = ");
            fmpq_print(y);
            flint_printf("\n");
            abort();
        }

        fmpq_clear(x);
        fmpq_clear(y);

        mpq_clear(X);
        mpq_clear(Y);
    }

    

    FLINT_TEST_CLEANUP(state);
    flint_printf("PASS\n");
    return 0;
}
Пример #3
0
int main()
{
    slong iter, iter2;
    flint_rand_t state;

    flint_printf("submul....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
    {
        arb_t a, b, c;
        fmpq_t x, y, z;

        arb_init(a);
        arb_init(b);
        arb_init(c);

        fmpq_init(x);
        fmpq_init(y);
        fmpq_init(z);

        arb_randtest(a, state, 1 + n_randint(state, 200), 10);
        arb_randtest(b, state, 1 + n_randint(state, 200), 10);
        arb_randtest(c, state, 1 + n_randint(state, 200), 10);

        arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
        arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
        arb_get_rand_fmpq(z, state, c, 1 + n_randint(state, 200));

        arb_submul(c, a, b, 2 + n_randint(state, 200));
        fmpq_submul(z, x, y);

        if (!arb_contains_fmpq(c, z))
        {
            flint_printf("FAIL: containment\n\n");
            flint_printf("a = "); arb_print(a); flint_printf("\n\n");
            flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
            flint_printf("b = "); arb_print(b); flint_printf("\n\n");
            flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
            flint_printf("c = "); arb_print(c); flint_printf("\n\n");
            flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);

        fmpq_clear(x);
        fmpq_clear(y);
        fmpq_clear(z);
    }

    /* aliasing of c and a */
    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arb_t a, b;
        fmpq_t x, y, z;

        arb_init(a);
        arb_init(b);

        fmpq_init(x);
        fmpq_init(y);
        fmpq_init(z);

        arb_randtest(a, state, 1 + n_randint(state, 200), 10);
        arb_randtest(b, state, 1 + n_randint(state, 200), 10);

        arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
        arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
        fmpq_set(z, x);

        arb_submul(a, a, b, 2 + n_randint(state, 200));
        fmpq_submul(z, x, y);

        if (!arb_contains_fmpq(a, z))
        {
            flint_printf("FAIL: aliasing (c, a)\n\n");
            flint_printf("a = "); arb_print(a); flint_printf("\n\n");
            flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
            flint_printf("b = "); arb_print(b); flint_printf("\n\n");
            flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
            flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);

        fmpq_clear(x);
        fmpq_clear(y);
        fmpq_clear(z);
    }

    /* aliasing of c and b */
    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arb_t a, b;
        fmpq_t x, y, z;

        arb_init(a);
        arb_init(b);

        fmpq_init(x);
        fmpq_init(y);
        fmpq_init(z);

        arb_randtest(a, state, 1 + n_randint(state, 200), 10);
        arb_randtest(b, state, 1 + n_randint(state, 200), 10);

        arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
        arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
        fmpq_set(z, y);

        arb_submul(b, a, b, 2 + n_randint(state, 200));
        fmpq_submul(z, x, y);

        if (!arb_contains_fmpq(b, z))
        {
            flint_printf("FAIL: aliasing (c, b)\n\n");
            flint_printf("a = "); arb_print(a); flint_printf("\n\n");
            flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
            flint_printf("b = "); arb_print(b); flint_printf("\n\n");
            flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
            flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);

        fmpq_clear(x);
        fmpq_clear(y);
        fmpq_clear(z);
    }

    /* main test */
    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arb_t x, y, z, v;
        slong prec;

        arb_init(x);
        arb_init(y);
        arb_init(z);
        arb_init(v);

        for (iter2 = 0; iter2 < 100; iter2++)
        {
            arb_randtest_special(x, state, n_randint(state,2) ? 2000 : 200, 200);
            arb_randtest_special(y, state, n_randint(state,2) ? 2000 : 200, 200);
            arb_randtest_special(z, state, n_randint(state,2) ? 2000 : 200, 200);

            prec = 2 + n_randint(state, 2000);

            switch (n_randint(state, 5))
            {
            case 0:
                arb_set(v, z);
                arb_submul(z, x, y, prec);
                arb_submul_naive(v, x, y, prec);

                if (!arf_equal(arb_midref(z), arb_midref(v))
                    || !mag_close(arb_radref(z), arb_radref(v)))
                {
                    flint_printf("FAIL!\n");
                    flint_printf("x = "); arb_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arb_print(y); flint_printf("\n\n");
                    flint_printf("z = "); arb_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arb_print(v); flint_printf("\n\n");
                    abort();
                }
                break;

            case 1:
                arb_set(y, x);
                arb_set(z, v);
                arb_submul(z, x, y, prec);
                arb_submul(v, x, x, prec);

                if (!arf_equal(arb_midref(z), arb_midref(v))
                    || !mag_close(arb_radref(z), arb_radref(v)))
                {
                    flint_printf("FAIL (aliasing 1)!\n");
                    flint_printf("x = "); arb_print(x); flint_printf("\n\n");
                    flint_printf("z = "); arb_print(z); flint_printf("\n\n");
                    flint_printf("v = "); arb_print(v); flint_printf("\n\n");
                    abort();
                }
                break;

            case 2:
                arb_set(v, x);
                arb_submul(v, x, x, prec);
                arb_submul(x, x, x, prec);

                if (!arf_equal(arb_midref(x), arb_midref(v))
                    || !mag_close(arb_radref(x), arb_radref(v)))
                {
                    flint_printf("FAIL (aliasing 2)!\n");
                    flint_printf("x = "); arb_print(x); flint_printf("\n\n");
                    flint_printf("v = "); arb_print(v); flint_printf("\n\n");
                    abort();
                }
                break;

            case 3:
                arb_set(v, x);
                arb_submul(v, x, y, prec);
                arb_submul(x, x, y, prec);

                if (!arf_equal(arb_midref(x), arb_midref(v))
                    || !mag_close(arb_radref(x), arb_radref(v)))
                {
                    flint_printf("FAIL (aliasing 3)!\n");
                    flint_printf("x = "); arb_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arb_print(y); flint_printf("\n\n");
                    flint_printf("v = "); arb_print(v); flint_printf("\n\n");
                    abort();
                }
                break;

            default:
                arb_set(v, x);
                arb_submul(v, x, y, prec);
                arb_submul(x, y, x, prec);

                if (!arf_equal(arb_midref(x), arb_midref(v))
                    || !mag_close(arb_radref(x), arb_radref(v)))
                {
                    flint_printf("FAIL (aliasing 4)!\n");
                    flint_printf("x = "); arb_print(x); flint_printf("\n\n");
                    flint_printf("y = "); arb_print(y); flint_printf("\n\n");
                    flint_printf("v = "); arb_print(v); flint_printf("\n\n");
                    abort();
                }
                break;
            }
        }

        arb_clear(x);
        arb_clear(y);
        arb_clear(z);
        arb_clear(v);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}
Пример #4
0
 void subtract_multiple(ElementType& result, const ElementType& a, const ElementType& b) const {fmpq_submul(&result,&a,&b);}