from __future__ import annotations

import itertools

import numpy as np
import pandas as pd
import pytest

import xarray as xr
from xarray.core.missing import (
    NumpyInterpolator,
    ScipyInterpolator,
    SplineInterpolator,
    _get_nan_block_lengths,
    get_clean_interp_index,
)
from xarray.core.pycompat import array_type
from xarray.tests import (
    _CFTIME_CALENDARS,
    assert_allclose,
    assert_array_equal,
    assert_equal,
    raise_if_dask_computes,
    requires_bottleneck,
    requires_cftime,
    requires_dask,
    requires_scipy,
)

dask_array_type = array_type("dask")


@pytest.fixture
def da():
    return xr.DataArray([0, np.nan, 1, 2, np.nan, 3, 4, 5, np.nan, 6, 7], dims="time")


@pytest.fixture
def cf_da():
    def _cf_da(calendar, freq="1D"):
        times = xr.cftime_range(
            start="1970-01-01", freq=freq, periods=10, calendar=calendar
        )
        values = np.arange(10)
        return xr.DataArray(values, dims=("time",), coords={"time": times})

    return _cf_da


@pytest.fixture
def ds():
    ds = xr.Dataset()
    ds["var1"] = xr.DataArray(
        [0, np.nan, 1, 2, np.nan, 3, 4, 5, np.nan, 6, 7], dims="time"
    )
    ds["var2"] = xr.DataArray(
        [10, np.nan, 11, 12, np.nan, 13, 14, 15, np.nan, 16, 17], dims="x"
    )
    return ds


def make_interpolate_example_data(shape, frac_nan, seed=12345, non_uniform=False):
    rs = np.random.RandomState(seed)
    vals = rs.normal(size=shape)
    if frac_nan == 1:
        vals[:] = np.nan
    elif frac_nan == 0:
        pass
    else:
        n_missing = int(vals.size * frac_nan)

        ys = np.arange(shape[0])
        xs = np.arange(shape[1])
        if n_missing:
            np.random.shuffle(ys)
            ys = ys[:n_missing]

            np.random.shuffle(xs)
            xs = xs[:n_missing]

            vals[ys, xs] = np.nan

    if non_uniform:
        # construct a datetime index that has irregular spacing
        deltas = pd.TimedeltaIndex(unit="d", data=rs.normal(size=shape[0], scale=10))
        coords = {"time": (pd.Timestamp("2000-01-01") + deltas).sort_values()}
    else:
        coords = {"time": pd.date_range("2000-01-01", freq="D", periods=shape[0])}
    da = xr.DataArray(vals, dims=("time", "x"), coords=coords)
    df = da.to_pandas()

    return da, df


@requires_scipy
def test_interpolate_pd_compat():
    shapes = [(8, 8), (1, 20), (20, 1), (100, 100)]
    frac_nans = [0, 0.5, 1]
    methods = ["linear", "nearest", "zero", "slinear", "quadratic", "cubic"]

    for shape, frac_nan, method in itertools.product(shapes, frac_nans, methods):
        da, df = make_interpolate_example_data(shape, frac_nan)

        for dim in ["time", "x"]:
            actual = da.interpolate_na(method=method, dim=dim, fill_value=np.nan)
            expected = df.interpolate(
                method=method, axis=da.get_axis_num(dim), fill_value=(np.nan, np.nan)
            )
            # Note, Pandas does some odd things with the left/right fill_value
            # for the linear methods. This next line inforces the xarray
            # fill_value convention on the pandas output. Therefore, this test
            # only checks that interpolated values are the same (not nans)
            expected.values[pd.isnull(actual.values)] = np.nan

            np.testing.assert_allclose(actual.values, expected.values)


@requires_scipy
@pytest.mark.parametrize("method", ["barycentric", "krog", "pchip", "spline", "akima"])
def test_scipy_methods_function(method):
    # Note: Pandas does some wacky things with these methods and the full
    # integration tests won't work.
    da, _ = make_interpolate_example_data((25, 25), 0.4, non_uniform=True)
    actual = da.interpolate_na(method=method, dim="time")
    assert (da.count("time") <= actual.count("time")).all()


@requires_scipy
def test_interpolate_pd_compat_non_uniform_index():
    shapes = [(8, 8), (1, 20), (20, 1), (100, 100)]
    frac_nans = [0, 0.5, 1]
    methods = ["time", "index", "values"]

    for shape, frac_nan, method in itertools.product(shapes, frac_nans, methods):
        da, df = make_interpolate_example_data(shape, frac_nan, non_uniform=True)
        for dim in ["time", "x"]:
            if method == "time" and dim != "time":
                continue
            actual = da.interpolate_na(
                method="linear", dim=dim, use_coordinate=True, fill_value=np.nan
            )
            expected = df.interpolate(
                method=method, axis=da.get_axis_num(dim), fill_value=np.nan
            )

            # Note, Pandas does some odd things with the left/right fill_value
            # for the linear methods. This next line inforces the xarray
            # fill_value convention on the pandas output. Therefore, this test
            # only checks that interpolated values are the same (not nans)
            expected.values[pd.isnull(actual.values)] = np.nan

            np.testing.assert_allclose(actual.values, expected.values)


@requires_scipy
def test_interpolate_pd_compat_polynomial():
    shapes = [(8, 8), (1, 20), (20, 1), (100, 100)]
    frac_nans = [0, 0.5, 1]
    orders = [1, 2, 3]

    for shape, frac_nan, order in itertools.product(shapes, frac_nans, orders):
        da, df = make_interpolate_example_data(shape, frac_nan)

        for dim in ["time", "x"]:
            actual = da.interpolate_na(
                method="polynomial", order=order, dim=dim, use_coordinate=False
            )
            expected = df.interpolate(
                method="polynomial", order=order, axis=da.get_axis_num(dim)
            )
            np.testing.assert_allclose(actual.values, expected.values)


@requires_scipy
def test_interpolate_unsorted_index_raises():
    vals = np.array([1, 2, 3], dtype=np.float64)
    expected = xr.DataArray(vals, dims="x", coords={"x": [2, 1, 3]})
    with pytest.raises(ValueError, match=r"Index 'x' must be monotonically increasing"):
        expected.interpolate_na(dim="x", method="index")


def test_interpolate_no_dim_raises():
    da = xr.DataArray(np.array([1, 2, np.nan, 5], dtype=np.float64), dims="x")
    with pytest.raises(NotImplementedError, match=r"dim is a required argument"):
        da.interpolate_na(method="linear")


def test_interpolate_invalid_interpolator_raises():
    da = xr.DataArray(np.array([1, 2, np.nan, 5], dtype=np.float64), dims="x")
    with pytest.raises(ValueError, match=r"not a valid"):
        da.interpolate_na(dim="x", method="foo")


def test_interpolate_duplicate_values_raises():
    data = np.random.randn(2, 3)
    da = xr.DataArray(data, coords=[("x", ["a", "a"]), ("y", [0, 1, 2])])
    with pytest.raises(ValueError, match=r"Index 'x' has duplicate values"):
        da.interpolate_na(dim="x", method="foo")


def test_interpolate_multiindex_raises():
    data = np.random.randn(2, 3)
    data[1, 1] = np.nan
    da = xr.DataArray(data, coords=[("x", ["a", "b"]), ("y", [0, 1, 2])])
    das = da.stack(z=("x", "y"))
    with pytest.raises(TypeError, match=r"Index 'z' must be castable to float64"):
        das.interpolate_na(dim="z")


def test_interpolate_2d_coord_raises():
    coords = {
        "x": xr.Variable(("a", "b"), np.arange(6).reshape(2, 3)),
        "y": xr.Variable(("a", "b"), np.arange(6).reshape(2, 3)) * 2,
    }

    data = np.random.randn(2, 3)
    data[1, 1] = np.nan
    da = xr.DataArray(data, dims=("a", "b"), coords=coords)
    with pytest.raises(ValueError, match=r"interpolation must be 1D"):
        da.interpolate_na(dim="a", use_coordinate="x")


@requires_scipy
def test_interpolate_kwargs():
    da = xr.DataArray(np.array([4, 5, np.nan], dtype=np.float64), dims="x")
    expected = xr.DataArray(np.array([4, 5, 6], dtype=np.float64), dims="x")
    actual = da.interpolate_na(dim="x", fill_value="extrapolate")
    assert_equal(actual, expected)

    expected = xr.DataArray(np.array([4, 5, -999], dtype=np.float64), dims="x")
    actual = da.interpolate_na(dim="x", fill_value=-999)
    assert_equal(actual, expected)


def test_interpolate_keep_attrs():
    vals = np.array([1, 2, 3, 4, 5, 6], dtype=np.float64)
    mvals = vals.copy()
    mvals[2] = np.nan
    missing = xr.DataArray(mvals, dims="x")
    missing.attrs = {"test": "value"}

    actual = missing.interpolate_na(dim="x", keep_attrs=True)
    assert actual.attrs == {"test": "value"}


def test_interpolate():
    vals = np.array([1, 2, 3, 4, 5, 6], dtype=np.float64)
    expected = xr.DataArray(vals, dims="x")
    mvals = vals.copy()
    mvals[2] = np.nan
    missing = xr.DataArray(mvals, dims="x")

    actual = missing.interpolate_na(dim="x")

    assert_equal(actual, expected)


@requires_scipy
@pytest.mark.parametrize(
    "method,vals",
    [
        pytest.param(method, vals, id=f"{desc}:{method}")
        for method in [
            "linear",
            "nearest",
            "zero",
            "slinear",
            "quadratic",
            "cubic",
            "polynomial",
        ]
        for (desc, vals) in [
            ("no nans", np.array([1, 2, 3, 4, 5, 6], dtype=np.float64)),
            ("one nan", np.array([1, np.nan, np.nan], dtype=np.float64)),
            ("all nans", np.full(6, np.nan, dtype=np.float64)),
        ]
    ],
)
def test_interp1d_fastrack(method, vals):
    expected = xr.DataArray(vals, dims="x")
    actual = expected.interpolate_na(dim="x", method=method)

    assert_equal(actual, expected)


@requires_bottleneck
def test_interpolate_limits():
    da = xr.DataArray(
        np.array([1, 2, np.nan, np.nan, np.nan, 6], dtype=np.float64), dims="x"
    )

    actual = da.interpolate_na(dim="x", limit=None)
    assert actual.isnull().sum() == 0

    actual = da.interpolate_na(dim="x", limit=2)
    expected = xr.DataArray(
        np.array([1, 2, 3, 4, np.nan, 6], dtype=np.float64), dims="x"
    )

    assert_equal(actual, expected)


@requires_scipy
def test_interpolate_methods():
    for method in ["linear", "nearest", "zero", "slinear", "quadratic", "cubic"]:
        kwargs = {}
        da = xr.DataArray(
            np.array([0, 1, 2, np.nan, np.nan, np.nan, 6, 7, 8], dtype=np.float64),
            dims="x",
        )
        actual = da.interpolate_na("x", method=method, **kwargs)
        assert actual.isnull().sum() == 0

        actual = da.interpolate_na("x", method=method, limit=2, **kwargs)
        assert actual.isnull().sum() == 1


@requires_scipy
def test_interpolators():
    for method, interpolator in [
        ("linear", NumpyInterpolator),
        ("linear", ScipyInterpolator),
        ("spline", SplineInterpolator),
    ]:
        xi = np.array([-1, 0, 1, 2, 5], dtype=np.float64)
        yi = np.array([-10, 0, 10, 20, 50], dtype=np.float64)
        x = np.array([3, 4], dtype=np.float64)

        f = interpolator(xi, yi, method=method)
        out = f(x)
        assert pd.isnull(out).sum() == 0


def test_interpolate_use_coordinate():
    xc = xr.Variable("x", [100, 200, 300, 400, 500, 600])
    da = xr.DataArray(
        np.array([1, 2, np.nan, np.nan, np.nan, 6], dtype=np.float64),
        dims="x",
        coords={"xc": xc},
    )

    # use_coordinate == False is same as using the default index
    actual = da.interpolate_na(dim="x", use_coordinate=False)
    expected = da.interpolate_na(dim="x")
    assert_equal(actual, expected)

    # possible to specify non index coordinate
    actual = da.interpolate_na(dim="x", use_coordinate="xc")
    expected = da.interpolate_na(dim="x")
    assert_equal(actual, expected)

    # possible to specify index coordinate by name
    actual = da.interpolate_na(dim="x", use_coordinate="x")
    expected = da.interpolate_na(dim="x")
    assert_equal(actual, expected)


@requires_dask
def test_interpolate_dask():
    da, _ = make_interpolate_example_data((40, 40), 0.5)
    da = da.chunk({"x": 5})
    actual = da.interpolate_na("time")
    expected = da.load().interpolate_na("time")
    assert isinstance(actual.data, dask_array_type)
    assert_equal(actual.compute(), expected)

    # with limit
    da = da.chunk({"x": 5})
    actual = da.interpolate_na("time", limit=3)
    expected = da.load().interpolate_na("time", limit=3)
    assert isinstance(actual.data, dask_array_type)
    assert_equal(actual, expected)


@requires_dask
def test_interpolate_dask_raises_for_invalid_chunk_dim():
    da, _ = make_interpolate_example_data((40, 40), 0.5)
    da = da.chunk({"time": 5})
    # this checks for ValueError in dask.array.apply_gufunc
    with pytest.raises(ValueError, match=r"consists of multiple chunks"):
        da.interpolate_na("time")


@requires_dask
@requires_scipy
@pytest.mark.parametrize("dtype, method", [(int, "linear"), (int, "nearest")])
def test_interpolate_dask_expected_dtype(dtype, method):
    da = xr.DataArray(
        data=np.array([0, 1], dtype=dtype),
        dims=["time"],
        coords=dict(time=np.array([0, 1])),
    ).chunk(dict(time=2))
    da = da.interp(time=np.array([0, 0.5, 1, 2]), method=method)

    assert da.dtype == da.compute().dtype


@requires_bottleneck
def test_ffill():
    da = xr.DataArray(np.array([4, 5, np.nan], dtype=np.float64), dims="x")
    expected = xr.DataArray(np.array([4, 5, 5], dtype=np.float64), dims="x")
    actual = da.ffill("x")
    assert_equal(actual, expected)


def test_ffill_use_bottleneck():
    da = xr.DataArray(np.array([4, 5, np.nan], dtype=np.float64), dims="x")
    with xr.set_options(use_bottleneck=False):
        with pytest.raises(RuntimeError):
            da.ffill("x")


@requires_dask
def test_ffill_use_bottleneck_dask():
    da = xr.DataArray(np.array([4, 5, np.nan], dtype=np.float64), dims="x")
    da = da.chunk({"x": 1})
    with xr.set_options(use_bottleneck=False):
        with pytest.raises(RuntimeError):
            da.ffill("x")


def test_bfill_use_bottleneck():
    da = xr.DataArray(np.array([4, 5, np.nan], dtype=np.float64), dims="x")
    with xr.set_options(use_bottleneck=False):
        with pytest.raises(RuntimeError):
            da.bfill("x")


@requires_dask
def test_bfill_use_bottleneck_dask():
    da = xr.DataArray(np.array([4, 5, np.nan], dtype=np.float64), dims="x")
    da = da.chunk({"x": 1})
    with xr.set_options(use_bottleneck=False):
        with pytest.raises(RuntimeError):
            da.bfill("x")


@requires_bottleneck
@requires_dask
@pytest.mark.parametrize("method", ["ffill", "bfill"])
def test_ffill_bfill_dask(method):
    da, _ = make_interpolate_example_data((40, 40), 0.5)
    da = da.chunk({"x": 5})

    dask_method = getattr(da, method)
    numpy_method = getattr(da.compute(), method)
    # unchunked axis
    with raise_if_dask_computes():
        actual = dask_method("time")
    expected = numpy_method("time")
    assert_equal(actual, expected)

    # chunked axis
    with raise_if_dask_computes():
        actual = dask_method("x")
    expected = numpy_method("x")
    assert_equal(actual, expected)

    # with limit
    with raise_if_dask_computes():
        actual = dask_method("time", limit=3)
    expected = numpy_method("time", limit=3)
    assert_equal(actual, expected)

    # limit < axis size
    with raise_if_dask_computes():
        actual = dask_method("x", limit=2)
    expected = numpy_method("x", limit=2)
    assert_equal(actual, expected)

    # limit > axis size
    with raise_if_dask_computes():
        actual = dask_method("x", limit=41)
    expected = numpy_method("x", limit=41)
    assert_equal(actual, expected)


@requires_bottleneck
def test_ffill_bfill_nonans():
    vals = np.array([1, 2, 3, 4, 5, 6], dtype=np.float64)
    expected = xr.DataArray(vals, dims="x")

    actual = expected.ffill(dim="x")
    assert_equal(actual, expected)

    actual = expected.bfill(dim="x")
    assert_equal(actual, expected)


@requires_bottleneck
def test_ffill_bfill_allnans():
    vals = np.full(6, np.nan, dtype=np.float64)
    expected = xr.DataArray(vals, dims="x")

    actual = expected.ffill(dim="x")
    assert_equal(actual, expected)

    actual = expected.bfill(dim="x")
    assert_equal(actual, expected)


@requires_bottleneck
def test_ffill_functions(da):
    result = da.ffill("time")
    assert result.isnull().sum() == 0


@requires_bottleneck
def test_ffill_limit():
    da = xr.DataArray(
        [0, np.nan, np.nan, np.nan, np.nan, 3, 4, 5, np.nan, 6, 7], dims="time"
    )
    result = da.ffill("time")
    expected = xr.DataArray([0, 0, 0, 0, 0, 3, 4, 5, 5, 6, 7], dims="time")
    assert_array_equal(result, expected)

    result = da.ffill("time", limit=1)
    expected = xr.DataArray(
        [0, 0, np.nan, np.nan, np.nan, 3, 4, 5, 5, 6, 7], dims="time"
    )
    assert_array_equal(result, expected)


def test_interpolate_dataset(ds):
    actual = ds.interpolate_na(dim="time")
    # no missing values in var1
    assert actual["var1"].count("time") == actual.dims["time"]

    # var2 should be the same as it was
    assert_array_equal(actual["var2"], ds["var2"])


@requires_bottleneck
def test_ffill_dataset(ds):
    ds.ffill(dim="time")


@requires_bottleneck
def test_bfill_dataset(ds):
    ds.ffill(dim="time")


@requires_bottleneck
@pytest.mark.parametrize(
    "y, lengths_expected",
    [
        [np.arange(9), [[1, 0, 7, 7, 7, 7, 7, 7, 0], [3, 3, 3, 0, 3, 3, 0, 2, 2]]],
        [
            np.arange(9) * 3,
            [[3, 0, 21, 21, 21, 21, 21, 21, 0], [9, 9, 9, 0, 9, 9, 0, 6, 6]],
        ],
        [
            [0, 2, 5, 6, 7, 8, 10, 12, 14],
            [[2, 0, 12, 12, 12, 12, 12, 12, 0], [6, 6, 6, 0, 4, 4, 0, 4, 4]],
        ],
    ],
)
def test_interpolate_na_nan_block_lengths(y, lengths_expected):
    arr = [
        [np.nan, 1, np.nan, np.nan, np.nan, np.nan, np.nan, np.nan, 4],
        [np.nan, np.nan, np.nan, 1, np.nan, np.nan, 4, np.nan, np.nan],
    ]
    da = xr.DataArray(arr, dims=["x", "y"], coords={"x": [0, 1], "y": y})
    index = get_clean_interp_index(da, dim="y", use_coordinate=True)
    actual = _get_nan_block_lengths(da, dim="y", index=index)
    expected = da.copy(data=lengths_expected)
    assert_equal(actual, expected)


@requires_cftime
@pytest.mark.parametrize("calendar", _CFTIME_CALENDARS)
def test_get_clean_interp_index_cf_calendar(cf_da, calendar):
    """The index for CFTimeIndex is in units of days. This means that if two series using a 360 and 365 days
    calendar each have a trend of .01C/year, the linear regression coefficients will be different because they
    have different number of days.

    Another option would be to have an index in units of years, but this would likely create other difficulties.
    """
    i = get_clean_interp_index(cf_da(calendar), dim="time")
    np.testing.assert_array_equal(i, np.arange(10) * 1e9 * 86400)


@requires_cftime
@pytest.mark.parametrize(
    ("calendar", "freq"), zip(["gregorian", "proleptic_gregorian"], ["1D", "1M", "1Y"])
)
def test_get_clean_interp_index_dt(cf_da, calendar, freq):
    """In the gregorian case, the index should be proportional to normal datetimes."""
    g = cf_da(calendar, freq=freq)
    g["stime"] = xr.Variable(data=g.time.to_index().to_datetimeindex(), dims=("time",))

    gi = get_clean_interp_index(g, "time")
    si = get_clean_interp_index(g, "time", use_coordinate="stime")
    np.testing.assert_array_equal(gi, si)


@requires_cftime
def test_get_clean_interp_index_potential_overflow():
    da = xr.DataArray(
        [0, 1, 2],
        dims=("time",),
        coords={"time": xr.cftime_range("0000-01-01", periods=3, calendar="360_day")},
    )
    get_clean_interp_index(da, "time")


@pytest.mark.parametrize("index", ([0, 2, 1], [0, 1, 1]))
def test_get_clean_interp_index_strict(index):
    da = xr.DataArray([0, 1, 2], dims=("x",), coords={"x": index})

    with pytest.raises(ValueError):
        get_clean_interp_index(da, "x")

    clean = get_clean_interp_index(da, "x", strict=False)
    np.testing.assert_array_equal(index, clean)
    assert clean.dtype == np.float64


@pytest.fixture
def da_time():
    return xr.DataArray(
        [np.nan, 1, 2, np.nan, np.nan, 5, np.nan, np.nan, np.nan, np.nan, 10],
        dims=["t"],
    )


def test_interpolate_na_max_gap_errors(da_time):
    with pytest.raises(
        NotImplementedError, match=r"max_gap not implemented for unlabeled coordinates"
    ):
        da_time.interpolate_na("t", max_gap=1)

    with pytest.raises(ValueError, match=r"max_gap must be a scalar."):
        da_time.interpolate_na("t", max_gap=(1,))

    da_time["t"] = pd.date_range("2001-01-01", freq="H", periods=11)
    with pytest.raises(TypeError, match=r"Expected value of type str"):
        da_time.interpolate_na("t", max_gap=1)

    with pytest.raises(TypeError, match=r"Expected integer or floating point"):
        da_time.interpolate_na("t", max_gap="1H", use_coordinate=False)

    with pytest.raises(ValueError, match=r"Could not convert 'huh' to timedelta64"):
        da_time.interpolate_na("t", max_gap="huh")


@requires_bottleneck
@pytest.mark.parametrize(
    "time_range_func",
    [pd.date_range, pytest.param(xr.cftime_range, marks=requires_cftime)],
)
@pytest.mark.parametrize("transform", [lambda x: x, lambda x: x.to_dataset(name="a")])
@pytest.mark.parametrize(
    "max_gap", ["3H", np.timedelta64(3, "h"), pd.to_timedelta("3H")]
)
def test_interpolate_na_max_gap_time_specifier(
    da_time, max_gap, transform, time_range_func
):
    da_time["t"] = time_range_func("2001-01-01", freq="H", periods=11)
    expected = transform(
        da_time.copy(data=[np.nan, 1, 2, 3, 4, 5, np.nan, np.nan, np.nan, np.nan, 10])
    )
    actual = transform(da_time).interpolate_na("t", max_gap=max_gap)
    assert_allclose(actual, expected)


@requires_bottleneck
@pytest.mark.parametrize(
    "coords",
    [
        pytest.param(None, marks=pytest.mark.xfail()),
        {"x": np.arange(4), "y": np.arange(12)},
    ],
)
def test_interpolate_na_2d(coords):
    n = np.nan
    da = xr.DataArray(
        [
            [1, 2, 3, 4, n, 6, n, n, n, 10, 11, n],
            [n, n, 3, n, n, 6, n, n, n, 10, n, n],
            [n, n, 3, n, n, 6, n, n, n, 10, n, n],
            [n, 2, 3, 4, n, 6, n, n, n, 10, 11, n],
        ],
        dims=["x", "y"],
        coords=coords,
    )

    actual = da.interpolate_na("y", max_gap=2)
    expected_y = da.copy(
        data=[
            [1, 2, 3, 4, 5, 6, n, n, n, 10, 11, n],
            [n, n, 3, n, n, 6, n, n, n, 10, n, n],
            [n, n, 3, n, n, 6, n, n, n, 10, n, n],
            [n, 2, 3, 4, 5, 6, n, n, n, 10, 11, n],
        ]
    )
    assert_equal(actual, expected_y)

    actual = da.interpolate_na("y", max_gap=1, fill_value="extrapolate")
    expected_y_extra = da.copy(
        data=[
            [1, 2, 3, 4, n, 6, n, n, n, 10, 11, 12],
            [n, n, 3, n, n, 6, n, n, n, 10, n, n],
            [n, n, 3, n, n, 6, n, n, n, 10, n, n],
            [1, 2, 3, 4, n, 6, n, n, n, 10, 11, 12],
        ]
    )
    assert_equal(actual, expected_y_extra)

    actual = da.interpolate_na("x", max_gap=3)
    expected_x = xr.DataArray(
        [
            [1, 2, 3, 4, n, 6, n, n, n, 10, 11, n],
            [n, 2, 3, 4, n, 6, n, n, n, 10, 11, n],
            [n, 2, 3, 4, n, 6, n, n, n, 10, 11, n],
            [n, 2, 3, 4, n, 6, n, n, n, 10, 11, n],
        ],
        dims=["x", "y"],
        coords=coords,
    )
    assert_equal(actual, expected_x)


@requires_scipy
def test_interpolators_complex_out_of_bounds():
    """Ensure complex nans are used for complex data"""

    xi = np.array([-1, 0, 1, 2, 5], dtype=np.float64)
    yi = np.exp(1j * xi)
    x = np.array([-2, 1, 6], dtype=np.float64)

    expected = np.array(
        [np.nan + np.nan * 1j, np.exp(1j), np.nan + np.nan * 1j], dtype=yi.dtype
    )

    for method, interpolator in [
        ("linear", NumpyInterpolator),
        ("linear", ScipyInterpolator),
    ]:
        f = interpolator(xi, yi, method=method)
        actual = f(x)
        assert_array_equal(actual, expected)
