import pytest

from pybind11_tests import ConstructorStats

pytestmark = pytest.requires_eigen_and_numpy

with pytest.suppress(ImportError):

    from pybind11_tests import eigen as m

    import numpy as np

    ref = np.array([[ 0.,  3,  0,  0,  0, 11],

                    [22,  0,  0,  0, 17, 11],

                    [ 7,  5,  0,  1,  0, 11],

                    [ 0,  0,  0,  0,  0, 11],

                    [ 0,  0, 14,  0,  8, 11]])

def assert_equal_ref(mat):

    np.testing.assert_array_equal(mat, ref)

def assert_sparse_equal_ref(sparse_mat):

    assert_equal_ref(sparse_mat.toarray())

def test_fixed():

    assert_equal_ref(m.fixed_c())

    assert_equal_ref(m.fixed_r())

    assert_equal_ref(m.fixed_copy_r(m.fixed_r()))

    assert_equal_ref(m.fixed_copy_c(m.fixed_c()))

    assert_equal_ref(m.fixed_copy_r(m.fixed_c()))

    assert_equal_ref(m.fixed_copy_c(m.fixed_r()))

def test_dense():

    assert_equal_ref(m.dense_r())

    assert_equal_ref(m.dense_c())

    assert_equal_ref(m.dense_copy_r(m.dense_r()))

    assert_equal_ref(m.dense_copy_c(m.dense_c()))

    assert_equal_ref(m.dense_copy_r(m.dense_c()))

    assert_equal_ref(m.dense_copy_c(m.dense_r()))

def test_partially_fixed():

    ref2 = np.array([[0., 1, 2, 3], [4, 5, 6, 7], [8, 9, 10, 11], [12, 13, 14, 15]])

    np.testing.assert_array_equal(m.partial_copy_four_rm_r(ref2), ref2)

    np.testing.assert_array_equal(m.partial_copy_four_rm_c(ref2), ref2)

    np.testing.assert_array_equal(m.partial_copy_four_rm_r(ref2[:, 1]), ref2[:, [1]])

    np.testing.assert_array_equal(m.partial_copy_four_rm_c(ref2[0, :]), ref2[[0], :])

    np.testing.assert_array_equal(m.partial_copy_four_rm_r(ref2[:, (0, 2)]), ref2[:, (0, 2)])

    np.testing.assert_array_equal(

        m.partial_copy_four_rm_c(ref2[(3, 1, 2), :]), ref2[(3, 1, 2), :])

    np.testing.assert_array_equal(m.partial_copy_four_cm_r(ref2), ref2)

    np.testing.assert_array_equal(m.partial_copy_four_cm_c(ref2), ref2)

    np.testing.assert_array_equal(m.partial_copy_four_cm_r(ref2[:, 1]), ref2[:, [1]])

    np.testing.assert_array_equal(m.partial_copy_four_cm_c(ref2[0, :]), ref2[[0], :])

    np.testing.assert_array_equal(m.partial_copy_four_cm_r(ref2[:, (0, 2)]), ref2[:, (0, 2)])

    np.testing.assert_array_equal(

        m.partial_copy_four_cm_c(ref2[(3, 1, 2), :]), ref2[(3, 1, 2), :])

    # TypeError should be raise for a shape mismatch

    functions = [m.partial_copy_four_rm_r, m.partial_copy_four_rm_c,

                 m.partial_copy_four_cm_r, m.partial_copy_four_cm_c]

    matrix_with_wrong_shape = [[1, 2],

                               [3, 4]]

    for f in functions:

        with pytest.raises(TypeError) as excinfo:

            f(matrix_with_wrong_shape)

        assert "incompatible function arguments" in str(excinfo.value)

def test_mutator_descriptors():

    zr = np.arange(30, dtype='float32').reshape(5, 6)  # row-major

    zc = zr.reshape(6, 5).transpose()  # column-major

    m.fixed_mutator_r(zr)

    m.fixed_mutator_c(zc)

    m.fixed_mutator_a(zr)

    m.fixed_mutator_a(zc)

    with pytest.raises(TypeError) as excinfo:

        m.fixed_mutator_r(zc)

    assert ('(arg0: numpy.ndarray[float32[5, 6], flags.writeable, flags.c_contiguous]) -> None'

            in str(excinfo.value))

    with pytest.raises(TypeError) as excinfo:

        m.fixed_mutator_c(zr)

    assert ('(arg0: numpy.ndarray[float32[5, 6], flags.writeable, flags.f_contiguous]) -> None'

            in str(excinfo.value))

    with pytest.raises(TypeError) as excinfo:

        m.fixed_mutator_a(np.array([[1, 2], [3, 4]], dtype='float32'))

    assert ('(arg0: numpy.ndarray[float32[5, 6], flags.writeable]) -> None'

            in str(excinfo.value))

    zr.flags.writeable = False

    with pytest.raises(TypeError):

        m.fixed_mutator_r(zr)

    with pytest.raises(TypeError):

        m.fixed_mutator_a(zr)

def test_cpp_casting():

    assert m.cpp_copy(m.fixed_r()) == 22.

    assert m.cpp_copy(m.fixed_c()) == 22.

    z = np.array([[5., 6], [7, 8]])

    assert m.cpp_copy(z) == 7.

    assert m.cpp_copy(m.get_cm_ref()) == 21.

    assert m.cpp_copy(m.get_rm_ref()) == 21.

    assert m.cpp_ref_c(m.get_cm_ref()) == 21.

    assert m.cpp_ref_r(m.get_rm_ref()) == 21.

    with pytest.raises(RuntimeError) as excinfo:

        # Can't reference m.fixed_c: it contains floats, m.cpp_ref_any wants doubles

        m.cpp_ref_any(m.fixed_c())

    assert 'Unable to cast Python instance' in str(excinfo.value)

    with pytest.raises(RuntimeError) as excinfo:

        # Can't reference m.fixed_r: it contains floats, m.cpp_ref_any wants doubles

        m.cpp_ref_any(m.fixed_r())

    assert 'Unable to cast Python instance' in str(excinfo.value)

    assert m.cpp_ref_any(m.ReturnTester.create()) == 1.

    assert m.cpp_ref_any(m.get_cm_ref()) == 21.

    assert m.cpp_ref_any(m.get_cm_ref()) == 21.

def test_pass_readonly_array():

    z = np.full((5, 6), 42.0)

    z.flags.writeable = False

    np.testing.assert_array_equal(z, m.fixed_copy_r(z))

    np.testing.assert_array_equal(m.fixed_r_const(), m.fixed_r())

    assert not m.fixed_r_const().flags.writeable

    np.testing.assert_array_equal(m.fixed_copy_r(m.fixed_r_const()), m.fixed_r_const())

def test_nonunit_stride_from_python():

    counting_mat = np.arange(9.0, dtype=np.float32).reshape((3, 3))

    second_row = counting_mat[1, :]

    second_col = counting_mat[:, 1]

    np.testing.assert_array_equal(m.double_row(second_row), 2.0 * second_row)

    np.testing.assert_array_equal(m.double_col(second_row), 2.0 * second_row)

    np.testing.assert_array_equal(m.double_complex(second_row), 2.0 * second_row)

    np.testing.assert_array_equal(m.double_row(second_col), 2.0 * second_col)

    np.testing.assert_array_equal(m.double_col(second_col), 2.0 * second_col)

    np.testing.assert_array_equal(m.double_complex(second_col), 2.0 * second_col)

    counting_3d = np.arange(27.0, dtype=np.float32).reshape((3, 3, 3))

    slices = [counting_3d[0, :, :], counting_3d[:, 0, :], counting_3d[:, :, 0]]

    for slice_idx, ref_mat in enumerate(slices):

        np.testing.assert_array_equal(m.double_mat_cm(ref_mat), 2.0 * ref_mat)

        np.testing.assert_array_equal(m.double_mat_rm(ref_mat), 2.0 * ref_mat)

    # Mutator:

    m.double_threer(second_row)

    m.double_threec(second_col)

    np.testing.assert_array_equal(counting_mat, [[0., 2, 2], [6, 16, 10], [6, 14, 8]])

def test_negative_stride_from_python(msg):

    """Eigen doesn't support (as of yet) negative strides. When a function takes an Eigen matrix by

    copy or const reference, we can pass a numpy array that has negative strides.  Otherwise, an

    exception will be thrown as Eigen will not be able to map the numpy array."""

    counting_mat = np.arange(9.0, dtype=np.float32).reshape((3, 3))

    counting_mat = counting_mat[::-1, ::-1]

    second_row = counting_mat[1, :]

    second_col = counting_mat[:, 1]

    np.testing.assert_array_equal(m.double_row(second_row), 2.0 * second_row)

    np.testing.assert_array_equal(m.double_col(second_row), 2.0 * second_row)

    np.testing.assert_array_equal(m.double_complex(second_row), 2.0 * second_row)

    np.testing.assert_array_equal(m.double_row(second_col), 2.0 * second_col)

    np.testing.assert_array_equal(m.double_col(second_col), 2.0 * second_col)

    np.testing.assert_array_equal(m.double_complex(second_col), 2.0 * second_col)

    counting_3d = np.arange(27.0, dtype=np.float32).reshape((3, 3, 3))

    counting_3d = counting_3d[::-1, ::-1, ::-1]

    slices = [counting_3d[0, :, :], counting_3d[:, 0, :], counting_3d[:, :, 0]]

    for slice_idx, ref_mat in enumerate(slices):

        np.testing.assert_array_equal(m.double_mat_cm(ref_mat), 2.0 * ref_mat)

        np.testing.assert_array_equal(m.double_mat_rm(ref_mat), 2.0 * ref_mat)

    # Mutator:

    with pytest.raises(TypeError) as excinfo:

        m.double_threer(second_row)

    assert msg(excinfo.value) == """

        double_threer(): incompatible function arguments. The following argument types are supported:

            1. (arg0: numpy.ndarray[float32[1, 3], flags.writeable]) -> None

        Invoked with: """ + repr(np.array([ 5.,  4.,  3.], dtype='float32'))  # noqa: E501 line too long

    with pytest.raises(TypeError) as excinfo:

        m.double_threec(second_col)

    assert msg(excinfo.value) == """

        double_threec(): incompatible function arguments. The following argument types are supported:

            1. (arg0: numpy.ndarray[float32[3, 1], flags.writeable]) -> None

        Invoked with: """ + repr(np.array([ 7.,  4.,  1.], dtype='float32'))  # noqa: E501 line too long

def test_nonunit_stride_to_python():

    assert np.all(m.diagonal(ref) == ref.diagonal())

    assert np.all(m.diagonal_1(ref) == ref.diagonal(1))

    for i in range(-5, 7):

        assert np.all(m.diagonal_n(ref, i) == ref.diagonal(i)), "m.diagonal_n({})".format(i)

    assert np.all(m.block(ref, 2, 1, 3, 3) == ref[2:5, 1:4])

    assert np.all(m.block(ref, 1, 4, 4, 2) == ref[1:, 4:])

    assert np.all(m.block(ref, 1, 4, 3, 2) == ref[1:4, 4:])

def test_eigen_ref_to_python():

    chols = [m.cholesky1, m.cholesky2, m.cholesky3, m.cholesky4]

    for i, chol in enumerate(chols, start=1):

        mymat = chol(np.array([[1., 2, 4], [2, 13, 23], [4, 23, 77]]))

        assert np.all(mymat == np.array([[1, 0, 0], [2, 3, 0], [4, 5, 6]])), "cholesky{}".format(i)

def assign_both(a1, a2, r, c, v):

    a1[r, c] = v

    a2[r, c] = v

def array_copy_but_one(a, r, c, v):

    z = np.array(a, copy=True)

    z[r, c] = v

    return z

def test_eigen_return_references():

    """Tests various ways of returning references and non-referencing copies"""

    master = np.ones((10, 10))

    a = m.ReturnTester()

    a_get1 = a.get()

    assert not a_get1.flags.owndata and a_get1.flags.writeable

    assign_both(a_get1, master, 3, 3, 5)

    a_get2 = a.get_ptr()

    assert not a_get2.flags.owndata and a_get2.flags.writeable

    assign_both(a_get1, master, 2, 3, 6)

    a_view1 = a.view()

    assert not a_view1.flags.owndata and not a_view1.flags.writeable

    with pytest.raises(ValueError):

        a_view1[2, 3] = 4

    a_view2 = a.view_ptr()

    assert not a_view2.flags.owndata and not a_view2.flags.writeable

    with pytest.raises(ValueError):

        a_view2[2, 3] = 4

    a_copy1 = a.copy_get()

    assert a_copy1.flags.owndata and a_copy1.flags.writeable

    np.testing.assert_array_equal(a_copy1, master)

    a_copy1[7, 7] = -44  # Shouldn't affect anything else

    c1want = array_copy_but_one(master, 7, 7, -44)

    a_copy2 = a.copy_view()

    assert a_copy2.flags.owndata and a_copy2.flags.writeable

    np.testing.assert_array_equal(a_copy2, master)

    a_copy2[4, 4] = -22  # Shouldn't affect anything else

    c2want = array_copy_but_one(master, 4, 4, -22)

    a_ref1 = a.ref()

    assert not a_ref1.flags.owndata and a_ref1.flags.writeable

    assign_both(a_ref1, master, 1, 1, 15)

    a_ref2 = a.ref_const()

    assert not a_ref2.flags.owndata and not a_ref2.flags.writeable

    with pytest.raises(ValueError):

        a_ref2[5, 5] = 33

    a_ref3 = a.ref_safe()

    assert not a_ref3.flags.owndata and a_ref3.flags.writeable

    assign_both(a_ref3, master, 0, 7, 99)

    a_ref4 = a.ref_const_safe()

    assert not a_ref4.flags.owndata and not a_ref4.flags.writeable

    with pytest.raises(ValueError):

        a_ref4[7, 0] = 987654321

    a_copy3 = a.copy_ref()

    assert a_copy3.flags.owndata and a_copy3.flags.writeable

    np.testing.assert_array_equal(a_copy3, master)

    a_copy3[8, 1] = 11

    c3want = array_copy_but_one(master, 8, 1, 11)

    a_copy4 = a.copy_ref_const()

    assert a_copy4.flags.owndata and a_copy4.flags.writeable

    np.testing.assert_array_equal(a_copy4, master)

    a_copy4[8, 4] = 88

    c4want = array_copy_but_one(master, 8, 4, 88)

    a_block1 = a.block(3, 3, 2, 2)

    assert not a_block1.flags.owndata and a_block1.flags.writeable

    a_block1[0, 0] = 55

    master[3, 3] = 55

    a_block2 = a.block_safe(2, 2, 3, 2)

    assert not a_block2.flags.owndata and a_block2.flags.writeable

    a_block2[2, 1] = -123

    master[4, 3] = -123

    a_block3 = a.block_const(6, 7, 4, 3)

    assert not a_block3.flags.owndata and not a_block3.flags.writeable

    with pytest.raises(ValueError):

        a_block3[2, 2] = -44444

    a_copy5 = a.copy_block(2, 2, 2, 3)

    assert a_copy5.flags.owndata and a_copy5.flags.writeable

    np.testing.assert_array_equal(a_copy5, master[2:4, 2:5])

    a_copy5[1, 1] = 777

    c5want = array_copy_but_one(master[2:4, 2:5], 1, 1, 777)

    a_corn1 = a.corners()

    assert not a_corn1.flags.owndata and a_corn1.flags.writeable

    a_corn1 *= 50

    a_corn1[1, 1] = 999

    master[0, 0] = 50

    master[0, 9] = 50

    master[9, 0] = 50

    master[9, 9] = 999

    a_corn2 = a.corners_const()

    assert not a_corn2.flags.owndata and not a_corn2.flags.writeable

    with pytest.raises(ValueError):

        a_corn2[1, 0] = 51

    # All of the changes made all the way along should be visible everywhere

    # now (except for the copies, of course)

    np.testing.assert_array_equal(a_get1, master)

    np.testing.assert_array_equal(a_get2, master)

    np.testing.assert_array_equal(a_view1, master)

    np.testing.assert_array_equal(a_view2, master)

    np.testing.assert_array_equal(a_ref1, master)

    np.testing.assert_array_equal(a_ref2, master)

    np.testing.assert_array_equal(a_ref3, master)

    np.testing.assert_array_equal(a_ref4, master)

    np.testing.assert_array_equal(a_block1, master[3:5, 3:5])

    np.testing.assert_array_equal(a_block2, master[2:5, 2:4])

    np.testing.assert_array_equal(a_block3, master[6:10, 7:10])

    np.testing.assert_array_equal(a_corn1, master[0::master.shape[0] - 1, 0::master.shape[1] - 1])

    np.testing.assert_array_equal(a_corn2, master[0::master.shape[0] - 1, 0::master.shape[1] - 1])

    np.testing.assert_array_equal(a_copy1, c1want)

    np.testing.assert_array_equal(a_copy2, c2want)

    np.testing.assert_array_equal(a_copy3, c3want)

    np.testing.assert_array_equal(a_copy4, c4want)

    np.testing.assert_array_equal(a_copy5, c5want)

def assert_keeps_alive(cl, method, *args):

    cstats = ConstructorStats.get(cl)

    start_with = cstats.alive()

    a = cl()

    assert cstats.alive() == start_with + 1

    z = method(a, *args)

    assert cstats.alive() == start_with + 1

    del a

    # Here's the keep alive in action:

    assert cstats.alive() == start_with + 1

    del z

    # Keep alive should have expired:

    assert cstats.alive() == start_with

def test_eigen_keepalive():

    a = m.ReturnTester()

    cstats = ConstructorStats.get(m.ReturnTester)

    assert cstats.alive() == 1

    unsafe = [a.ref(), a.ref_const(), a.block(1, 2, 3, 4)]

    copies = [a.copy_get(), a.copy_view(), a.copy_ref(), a.copy_ref_const(),

              a.copy_block(4, 3, 2, 1)]

    del a

    assert cstats.alive() == 0

    del unsafe

    del copies

    for meth in [m.ReturnTester.get, m.ReturnTester.get_ptr, m.ReturnTester.view,

                 m.ReturnTester.view_ptr, m.ReturnTester.ref_safe, m.ReturnTester.ref_const_safe,

                 m.ReturnTester.corners, m.ReturnTester.corners_const]:

        assert_keeps_alive(m.ReturnTester, meth)

    for meth in [m.ReturnTester.block_safe, m.ReturnTester.block_const]:

        assert_keeps_alive(m.ReturnTester, meth, 4, 3, 2, 1)

def test_eigen_ref_mutators():

    """Tests Eigen's ability to mutate numpy values"""

    orig = np.array([[1., 2, 3], [4, 5, 6], [7, 8, 9]])

    zr = np.array(orig)

    zc = np.array(orig, order='F')

    m.add_rm(zr, 1, 0, 100)

    assert np.all(zr == np.array([[1., 2, 3], [104, 5, 6], [7, 8, 9]]))

    m.add_cm(zc, 1, 0, 200)

    assert np.all(zc == np.array([[1., 2, 3], [204, 5, 6], [7, 8, 9]]))

    m.add_any(zr, 1, 0, 20)

    assert np.all(zr == np.array([[1., 2, 3], [124, 5, 6], [7, 8, 9]]))

    m.add_any(zc, 1, 0, 10)

    assert np.all(zc == np.array([[1., 2, 3], [214, 5, 6], [7, 8, 9]]))

    # Can't reference a col-major array with a row-major Ref, and vice versa:

    with pytest.raises(TypeError):

        m.add_rm(zc, 1, 0, 1)

    with pytest.raises(TypeError):

        m.add_cm(zr, 1, 0, 1)

    # Overloads:

    m.add1(zr, 1, 0, -100)

    m.add2(zr, 1, 0, -20)

    assert np.all(zr == orig)

    m.add1(zc, 1, 0, -200)

    m.add2(zc, 1, 0, -10)

    assert np.all(zc == orig)

    # a non-contiguous slice (this won't work on either the row- or

    # column-contiguous refs, but should work for the any)

    cornersr = zr[0::2, 0::2]

    cornersc = zc[0::2, 0::2]

    assert np.all(cornersr == np.array([[1., 3], [7, 9]]))

    assert np.all(cornersc == np.array([[1., 3], [7, 9]]))

    with pytest.raises(TypeError):

        m.add_rm(cornersr, 0, 1, 25)

    with pytest.raises(TypeError):

        m.add_cm(cornersr, 0, 1, 25)

    with pytest.raises(TypeError):

        m.add_rm(cornersc, 0, 1, 25)

    with pytest.raises(TypeError):

        m.add_cm(cornersc, 0, 1, 25)

    m.add_any(cornersr, 0, 1, 25)

    m.add_any(cornersc, 0, 1, 44)

    assert np.all(zr == np.array([[1., 2, 28], [4, 5, 6], [7, 8, 9]]))

    assert np.all(zc == np.array([[1., 2, 47], [4, 5, 6], [7, 8, 9]]))

    # You shouldn't be allowed to pass a non-writeable array to a mutating Eigen method:

    zro = zr[0:4, 0:4]

    zro.flags.writeable = False

    with pytest.raises(TypeError):

        m.add_rm(zro, 0, 0, 0)

    with pytest.raises(TypeError):

        m.add_any(zro, 0, 0, 0)

    with pytest.raises(TypeError):

        m.add1(zro, 0, 0, 0)

    with pytest.raises(TypeError):

        m.add2(zro, 0, 0, 0)

    # integer array shouldn't be passable to a double-matrix-accepting mutating func:

    zi = np.array([[1, 2], [3, 4]])

    with pytest.raises(TypeError):

        m.add_rm(zi)

def test_numpy_ref_mutators():

    """Tests numpy mutating Eigen matrices (for returned Eigen::Ref<...>s)"""

    m.reset_refs()  # In case another test already changed it

    zc = m.get_cm_ref()

    zcro = m.get_cm_const_ref()

    zr = m.get_rm_ref()

    zrro = m.get_rm_const_ref()

    assert [zc[1, 2], zcro[1, 2], zr[1, 2], zrro[1, 2]] == [23] * 4

    assert not zc.flags.owndata and zc.flags.writeable

    assert not zr.flags.owndata and zr.flags.writeable

    assert not zcro.flags.owndata and not zcro.flags.writeable

    assert not zrro.flags.owndata and not zrro.flags.writeable

    zc[1, 2] = 99

    expect = np.array([[11., 12, 13], [21, 22, 99], [31, 32, 33]])

    # We should have just changed zc, of course, but also zcro and the original eigen matrix

    assert np.all(zc == expect)

    assert np.all(zcro == expect)

    assert np.all(m.get_cm_ref() == expect)

    zr[1, 2] = 99

    assert np.all(zr == expect)

    assert np.all(zrro == expect)

    assert np.all(m.get_rm_ref() == expect)

    # Make sure the readonly ones are numpy-readonly:

    with pytest.raises(ValueError):

        zcro[1, 2] = 6

    with pytest.raises(ValueError):

        zrro[1, 2] = 6

    # We should be able to explicitly copy like this (and since we're copying,

    # the const should drop away)

    y1 = np.array(m.get_cm_const_ref())

    assert y1.flags.owndata and y1.flags.writeable

    # We should get copies of the eigen data, which was modified above:

    assert y1[1, 2] == 99

    y1[1, 2] += 12

    assert y1[1, 2] == 111

    assert zc[1, 2] == 99  # Make sure we aren't referencing the original

def test_both_ref_mutators():

    """Tests a complex chain of nested eigen/numpy references"""

    m.reset_refs()  # In case another test already changed it

    z = m.get_cm_ref()  # numpy -> eigen

    z[0, 2] -= 3

    z2 = m.incr_matrix(z, 1)  # numpy -> eigen -> numpy -> eigen

    z2[1, 1] += 6

    z3 = m.incr_matrix(z, 2)  # (numpy -> eigen)^3

    z3[2, 2] += -5

    z4 = m.incr_matrix(z, 3)  # (numpy -> eigen)^4

    z4[1, 1] -= 1

    z5 = m.incr_matrix(z, 4)  # (numpy -> eigen)^5

    z5[0, 0] = 0

    assert np.all(z == z2)

    assert np.all(z == z3)

    assert np.all(z == z4)

    assert np.all(z == z5)

    expect = np.array([[0., 22, 20], [31, 37, 33], [41, 42, 38]])

    assert np.all(z == expect)

    y = np.array(range(100), dtype='float64').reshape(10, 10)

    y2 = m.incr_matrix_any(y, 10)  # np -> eigen -> np

    y3 = m.incr_matrix_any(y2[0::2, 0::2], -33)  # np -> eigen -> np slice -> np -> eigen -> np

    y4 = m.even_rows(y3)  # numpy -> eigen slice -> (... y3)

    y5 = m.even_cols(y4)  # numpy -> eigen slice -> (... y4)

    y6 = m.incr_matrix_any(y5, 1000)  # numpy -> eigen -> (... y5)

    # Apply same mutations using just numpy:

    yexpect = np.array(range(100), dtype='float64').reshape(10, 10)

    yexpect += 10

    yexpect[0::2, 0::2] -= 33

    yexpect[0::4, 0::4] += 1000

    assert np.all(y6 == yexpect[0::4, 0::4])

    assert np.all(y5 == yexpect[0::4, 0::4])

    assert np.all(y4 == yexpect[0::4, 0::2])

    assert np.all(y3 == yexpect[0::2, 0::2])

    assert np.all(y2 == yexpect)

    assert np.all(y == yexpect)

def test_nocopy_wrapper():

    # get_elem requires a column-contiguous matrix reference, but should be

    # callable with other types of matrix (via copying):

    int_matrix_colmajor = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]], order='F')

    dbl_matrix_colmajor = np.array(int_matrix_colmajor, dtype='double', order='F', copy=True)

    int_matrix_rowmajor = np.array(int_matrix_colmajor, order='C', copy=True)

    dbl_matrix_rowmajor = np.array(int_matrix_rowmajor, dtype='double', order='C', copy=True)

    # All should be callable via get_elem:

    assert m.get_elem(int_matrix_colmajor) == 8

    assert m.get_elem(dbl_matrix_colmajor) == 8

    assert m.get_elem(int_matrix_rowmajor) == 8

    assert m.get_elem(dbl_matrix_rowmajor) == 8

    # All but the second should fail with m.get_elem_nocopy:

    with pytest.raises(TypeError) as excinfo:

        m.get_elem_nocopy(int_matrix_colmajor)

    assert ('get_elem_nocopy(): incompatible function arguments.' in str(excinfo.value) and

            ', flags.f_contiguous' in str(excinfo.value))

    assert m.get_elem_nocopy(dbl_matrix_colmajor) == 8

    with pytest.raises(TypeError) as excinfo:

        m.get_elem_nocopy(int_matrix_rowmajor)

    assert ('get_elem_nocopy(): incompatible function arguments.' in str(excinfo.value) and

            ', flags.f_contiguous' in str(excinfo.value))

    with pytest.raises(TypeError) as excinfo:

        m.get_elem_nocopy(dbl_matrix_rowmajor)

    assert ('get_elem_nocopy(): incompatible function arguments.' in str(excinfo.value) and

            ', flags.f_contiguous' in str(excinfo.value))

    # For the row-major test, we take a long matrix in row-major, so only the third is allowed:

    with pytest.raises(TypeError) as excinfo:

        m.get_elem_rm_nocopy(int_matrix_colmajor)

    assert ('get_elem_rm_nocopy(): incompatible function arguments.' in str(excinfo.value) and

            ', flags.c_contiguous' in str(excinfo.value))

    with pytest.raises(TypeError) as excinfo:

        m.get_elem_rm_nocopy(dbl_matrix_colmajor)

    assert ('get_elem_rm_nocopy(): incompatible function arguments.' in str(excinfo.value) and

            ', flags.c_contiguous' in str(excinfo.value))

    assert m.get_elem_rm_nocopy(int_matrix_rowmajor) == 8

    with pytest.raises(TypeError) as excinfo:

        m.get_elem_rm_nocopy(dbl_matrix_rowmajor)

    assert ('get_elem_rm_nocopy(): incompatible function arguments.' in str(excinfo.value) and

            ', flags.c_contiguous' in str(excinfo.value))

def test_eigen_ref_life_support():

    """Ensure the lifetime of temporary arrays created by the `Ref` caster

    The `Ref` caster sometimes creates a copy which needs to stay alive. This needs to

    happen both for directs casts (just the array) or indirectly (e.g. list of arrays).

    """

    a = np.full(shape=10, fill_value=8, dtype=np.int8)

    assert m.get_elem_direct(a) == 8

    list_of_a = [a]

    assert m.get_elem_indirect(list_of_a) == 8

def test_special_matrix_objects():

    assert np.all(m.incr_diag(7) == np.diag([1., 2, 3, 4, 5, 6, 7]))

    asymm = np.array([[ 1.,  2,  3,  4],

                      [ 5,  6,  7,  8],

                      [ 9, 10, 11, 12],

                      [13, 14, 15, 16]])

    symm_lower = np.array(asymm)

    symm_upper = np.array(asymm)

    for i in range(4):

        for j in range(i + 1, 4):

            symm_lower[i, j] = symm_lower[j, i]

            symm_upper[j, i] = symm_upper[i, j]

    assert np.all(m.symmetric_lower(asymm) == symm_lower)

    assert np.all(m.symmetric_upper(asymm) == symm_upper)

def test_dense_signature(doc):

    assert doc(m.double_col) == """

        double_col(arg0: numpy.ndarray[float32[m, 1]]) -> numpy.ndarray[float32[m, 1]]

    """

    assert doc(m.double_row) == """

        double_row(arg0: numpy.ndarray[float32[1, n]]) -> numpy.ndarray[float32[1, n]]

    """

    assert doc(m.double_complex) == """

        double_complex(arg0: numpy.ndarray[complex64[m, 1]]) -> numpy.ndarray[complex64[m, 1]]

    """

    assert doc(m.double_mat_rm) == """

        double_mat_rm(arg0: numpy.ndarray[float32[m, n]]) -> numpy.ndarray[float32[m, n]]

    """

def test_named_arguments():

    a = np.array([[1.0, 2], [3, 4], [5, 6]])

    b = np.ones((2, 1))

    assert np.all(m.matrix_multiply(a, b) == np.array([[3.], [7], [11]]))

    assert np.all(m.matrix_multiply(A=a, B=b) == np.array([[3.], [7], [11]]))

    assert np.all(m.matrix_multiply(B=b, A=a) == np.array([[3.], [7], [11]]))

    with pytest.raises(ValueError) as excinfo:

        m.matrix_multiply(b, a)

    assert str(excinfo.value) == 'Nonconformable matrices!'

    with pytest.raises(ValueError) as excinfo:

        m.matrix_multiply(A=b, B=a)

    assert str(excinfo.value) == 'Nonconformable matrices!'

    with pytest.raises(ValueError) as excinfo:

        m.matrix_multiply(B=a, A=b)

    assert str(excinfo.value) == 'Nonconformable matrices!'

@pytest.requires_eigen_and_scipy

def test_sparse():

    assert_sparse_equal_ref(m.sparse_r())

    assert_sparse_equal_ref(m.sparse_c())

    assert_sparse_equal_ref(m.sparse_copy_r(m.sparse_r()))

    assert_sparse_equal_ref(m.sparse_copy_c(m.sparse_c()))

    assert_sparse_equal_ref(m.sparse_copy_r(m.sparse_c()))

    assert_sparse_equal_ref(m.sparse_copy_c(m.sparse_r()))

@pytest.requires_eigen_and_scipy

def test_sparse_signature(doc):

    assert doc(m.sparse_copy_r) == """

        sparse_copy_r(arg0: scipy.sparse.csr_matrix[float32]) -> scipy.sparse.csr_matrix[float32]

    """  # noqa: E501 line too long

    assert doc(m.sparse_copy_c) == """

        sparse_copy_c(arg0: scipy.sparse.csc_matrix[float32]) -> scipy.sparse.csc_matrix[float32]

    """  # noqa: E501 line too long

def test_issue738():

    """Ignore strides on a length-1 dimension (even if they would be incompatible length > 1)"""

    assert np.all(m.iss738_f1(np.array([[1., 2, 3]])) == np.array([[1., 102, 203]]))

    assert np.all(m.iss738_f1(np.array([[1.], [2], [3]])) == np.array([[1.], [12], [23]]))

    assert np.all(m.iss738_f2(np.array([[1., 2, 3]])) == np.array([[1., 102, 203]]))

    assert np.all(m.iss738_f2(np.array([[1.], [2], [3]])) == np.array([[1.], [12], [23]]))

def test_issue1105():

    """Issue 1105: 1xN or Nx1 input arrays weren't accepted for eigen

    compile-time row vectors or column vector"""

    assert m.iss1105_row(np.ones((1, 7)))

    assert m.iss1105_col(np.ones((7, 1)))

    # These should still fail (incompatible dimensions):

    with pytest.raises(TypeError) as excinfo:

        m.iss1105_row(np.ones((7, 1)))

    assert "incompatible function arguments" in str(excinfo.value)

    with pytest.raises(TypeError) as excinfo:

        m.iss1105_col(np.ones((1, 7)))

    assert "incompatible function arguments" in str(excinfo.value)

def test_custom_operator_new():

    """Using Eigen types as member variables requires a class-specific

    operator new with proper alignment"""

    o = m.CustomOperatorNew()

    np.testing.assert_allclose(o.a, 0.0)

    np.testing.assert_allclose(o.b.diagonal(), 1.0)