generic.py

from __future__ import annotations

import collections
from datetime import timedelta
import functools
import gc
from io import StringIO
import json
import operator
import pickle
import re
from typing import (
    TYPE_CHECKING,
    Any,
    Callable,
    Dict,
    FrozenSet,
    Hashable,
    List,
    Mapping,
    Optional,
    Sequence,
    Set,
    Tuple,
    Type,
    Union,
    cast,
)
import warnings
import weakref

import numpy as np

from pandas._config import config

from pandas._libs import lib
from pandas._libs.tslibs import Tick, Timestamp, to_offset
from pandas._typing import (
    Axis,
    CompressionOptions,
    FilePathOrBuffer,
    FrameOrSeries,
    IndexKeyFunc,
    IndexLabel,
    JSONSerializable,
    Label,
    Level,
    Renamer,
    StorageOptions,
    TimedeltaConvertibleTypes,
    TimestampConvertibleTypes,
    ValueKeyFunc,
)
from pandas.compat import set_function_name
from pandas.compat._optional import import_optional_dependency
from pandas.compat.numpy import function as nv
from pandas.errors import AbstractMethodError, InvalidIndexError
from pandas.util._decorators import Appender, doc, rewrite_axis_style_signature
from pandas.util._validators import (
    validate_bool_kwarg,
    validate_fillna_kwargs,
    validate_percentile,
)

from pandas.core.dtypes.common import (
    ensure_int64,
    ensure_object,
    ensure_str,
    is_bool,
    is_bool_dtype,
    is_datetime64_any_dtype,
    is_datetime64tz_dtype,
    is_dict_like,
    is_extension_array_dtype,
    is_float,
    is_list_like,
    is_number,
    is_numeric_dtype,
    is_object_dtype,
    is_re_compilable,
    is_scalar,
    is_timedelta64_dtype,
    pandas_dtype,
)
from pandas.core.dtypes.generic import ABCDataFrame, ABCSeries
from pandas.core.dtypes.inference import is_hashable
from pandas.core.dtypes.missing import isna, notna

import pandas as pd
from pandas.core import missing, nanops
import pandas.core.algorithms as algos
from pandas.core.base import PandasObject, SelectionMixin
import pandas.core.common as com
from pandas.core.construction import create_series_with_explicit_dtype
from pandas.core.flags import Flags
from pandas.core.indexes import base as ibase
from pandas.core.indexes.api import Index, MultiIndex, RangeIndex, ensure_index
from pandas.core.indexes.datetimes import DatetimeIndex
from pandas.core.indexes.period import Period, PeriodIndex
import pandas.core.indexing as indexing
from pandas.core.internals import BlockManager
from pandas.core.missing import find_valid_index
from pandas.core.ops import align_method_FRAME
from pandas.core.shared_docs import _shared_docs
from pandas.core.sorting import get_indexer_indexer
from pandas.core.window import Expanding, ExponentialMovingWindow, Rolling, Window

from pandas.io.formats import format as fmt
from pandas.io.formats.format import DataFrameFormatter, format_percentiles
from pandas.io.formats.printing import pprint_thing

if TYPE_CHECKING:
    from pandas._libs.tslibs import BaseOffset

    from pandas.core.resample import Resampler
    from pandas.core.series import Series
    from pandas.core.window.indexers import BaseIndexer

# goal is to be able to define the docs close to function, while still being
# able to share
_shared_docs = {**_shared_docs}
_shared_doc_kwargs = dict(
    axes="keywords for axes",
    klass="Series/DataFrame",
    axes_single_arg="int or labels for object",
    args_transpose="axes to permute (int or label for object)",
    optional_by="""
        by : str or list of str
            Name or list of names to sort by""",
)


def _single_replace(self, to_replace, method, inplace, limit):
    """
    Replaces values in a Series using the fill method specified when no
    replacement value is given in the replace method
    """
    if self.ndim != 1:
        raise TypeError(
            f"cannot replace {to_replace} with method {method} on a "
            f"{type(self).__name__}"
        )

    orig_dtype = self.dtype
    result = self if inplace else self.copy()
    fill_f = missing.get_fill_func(method)

    mask = missing.mask_missing(result.values, to_replace)
    values = fill_f(result.values, limit=limit, mask=mask)

    if values.dtype == orig_dtype and inplace:
        return

    result = pd.Series(values, index=self.index, dtype=self.dtype).__finalize__(self)

    if inplace:
        self._update_inplace(result)
        return

    return result


bool_t = bool  # Need alias because NDFrame has def bool:


class NDFrame(PandasObject, SelectionMixin, indexing.IndexingMixin):
    """
    N-dimensional analogue of DataFrame. Store multi-dimensional in a
    size-mutable, labeled data structure

    Parameters
    ----------
    data : BlockManager
    axes : list
    copy : bool, default False
    """

    _internal_names: List[str] = [
        "_mgr",
        "_cacher",
        "_item_cache",
        "_cache",
        "_is_copy",
        "_subtyp",
        "_name",
        "_index",
        "_default_kind",
        "_default_fill_value",
        "_metadata",
        "__array_struct__",
        "__array_interface__",
        "_flags",
    ]
    _internal_names_set: Set[str] = set(_internal_names)
    _accessors: Set[str] = set()
    _deprecations: FrozenSet[str] = frozenset(["get_values", "tshift"])
    _metadata: List[str] = []
    _is_copy = None
    _mgr: BlockManager
    _attrs: Dict[Optional[Hashable], Any]
    _typ: str

    # ----------------------------------------------------------------------
    # Constructors

    def __init__(
        self,
        data: BlockManager,
        copy: bool = False,
        attrs: Optional[Mapping[Optional[Hashable], Any]] = None,
    ):
        # copy kwarg is retained for mypy compat, is not used

        object.__setattr__(self, "_is_copy", None)
        object.__setattr__(self, "_mgr", data)
        object.__setattr__(self, "_item_cache", {})
        if attrs is None:
            attrs = {}
        else:
            attrs = dict(attrs)
        object.__setattr__(self, "_attrs", attrs)
        object.__setattr__(self, "_flags", Flags(self, allows_duplicate_labels=True))

    @classmethod
    def _init_mgr(cls, mgr, axes, dtype=None, copy: bool = False) -> BlockManager:
        """ passed a manager and a axes dict """
        for a, axe in axes.items():
            if axe is not None:
                axe = ensure_index(axe)
                bm_axis = cls._get_block_manager_axis(a)
                mgr = mgr.reindex_axis(axe, axis=bm_axis, copy=False)

        # make a copy if explicitly requested
        if copy:
            mgr = mgr.copy()
        if dtype is not None:
            # avoid further copies if we can
            if len(mgr.blocks) > 1 or mgr.blocks[0].values.dtype != dtype:
                mgr = mgr.astype(dtype=dtype)
        return mgr

    # ----------------------------------------------------------------------
    # attrs and flags

    @property
    def attrs(self) -> Dict[Optional[Hashable], Any]:
        """
        Dictionary of global attributes of this dataset.

        .. warning::

           attrs is experimental and may change without warning.

        See Also
        --------
        DataFrame.flags
        """
        if self._attrs is None:
            self._attrs = {}
        return self._attrs

    @attrs.setter
    def attrs(self, value: Mapping[Optional[Hashable], Any]) -> None:
        self._attrs = dict(value)

    @property
    def flags(self) -> Flags:
        """
        Get the properties associated with this pandas object.

        The available flags are

        * :attr:`Flags.allows_duplicate_labels`

        See Also
        --------
        Flags
        DataFrame.attrs

        Notes
        -----
        "Flags" differ from "metadata". Flags reflect properties of the
        pandas object (the Series or DataFrame). Metadata refer to properties
        of the dataset, and should be stored in :attr:`DataFrame.attrs`.

        Examples
        --------
        >>> df = pd.DataFrame({"A": [1, 2]})
        >>> df.flags
        <Flags(allows_duplicate_labels=True)>

        Flags can be get or set using ``.``

        >>> df.flags.allows_duplicate_labels
        True
        >>> df.flags.allows_duplicate_labels = False

        Or by slicing with a key

        >>> df.flags["allows_duplicate_labels"]
        False
        >>> df.flags["allows_duplicate_labels"] = True
        """
        return self._flags

    def set_flags(
        self: FrameOrSeries,
        *,
        copy: bool = False,
        allows_duplicate_labels: Optional[bool] = None,
    ) -> FrameOrSeries:
        """
        Return a new object with updated flags.

        Parameters
        ----------
        allows_duplicate_labels : bool, optional
            Whether the returned object allows duplicate labels.

        Returns
        -------
        Series or DataFrame
            The same type as the caller.

        See Also
        --------
        DataFrame.attrs : Global metadata applying to this dataset.
        DataFrame.flags : Global flags applying to this object.

        Notes
        -----
        This method returns a new object that's a view on the same data
        as the input. Mutating the input or the output values will be reflected
        in the other.

        This method is intended to be used in method chains.

        "Flags" differ from "metadata". Flags reflect properties of the
        pandas object (the Series or DataFrame). Metadata refer to properties
        of the dataset, and should be stored in :attr:`DataFrame.attrs`.

        Examples
        --------
        >>> df = pd.DataFrame({"A": [1, 2]})
        >>> df.flags.allows_duplicate_labels
        True
        >>> df2 = df.set_flags(allows_duplicate_labels=False)
        >>> df2.flags.allows_duplicate_labels
        False
        """
        df = self.copy(deep=copy)
        if allows_duplicate_labels is not None:
            df.flags["allows_duplicate_labels"] = allows_duplicate_labels
        return df

    @classmethod
    def _validate_dtype(cls, dtype):
        """ validate the passed dtype """
        if dtype is not None:
            dtype = pandas_dtype(dtype)

            # a compound dtype
            if dtype.kind == "V":
                raise NotImplementedError(
                    "compound dtypes are not implemented "
                    f"in the {cls.__name__} constructor"
                )

        return dtype

    # ----------------------------------------------------------------------
    # Construction

    @property
    def _constructor(self: FrameOrSeries) -> Type[FrameOrSeries]:
        """
        Used when a manipulation result has the same dimensions as the
        original.
        """
        raise AbstractMethodError(self)

    @property
    def _constructor_sliced(self):
        """
        Used when a manipulation result has one lower dimension(s) as the
        original, such as DataFrame single columns slicing.
        """
        raise AbstractMethodError(self)

    @property
    def _constructor_expanddim(self):
        """
        Used when a manipulation result has one higher dimension as the
        original, such as Series.to_frame()
        """
        raise NotImplementedError

    # ----------------------------------------------------------------------
    # Internals

    @property
    def _data(self):
        # GH#33054 retained because some downstream packages uses this,
        #  e.g. fastparquet
        return self._mgr

    # ----------------------------------------------------------------------
    # Axis
    _stat_axis_number = 0
    _stat_axis_name = "index"
    _ix = None
    _AXIS_ORDERS: List[str]
    _AXIS_TO_AXIS_NUMBER: Dict[Axis, int] = {0: 0, "index": 0, "rows": 0}
    _AXIS_REVERSED: bool
    _info_axis_number: int
    _info_axis_name: str
    _AXIS_LEN: int

    @property
    def _AXIS_NUMBERS(self) -> Dict[str, int]:
        """.. deprecated:: 1.1.0"""
        warnings.warn("_AXIS_NUMBERS has been deprecated.", FutureWarning, stacklevel=3)
        return {"index": 0}

    @property
    def _AXIS_NAMES(self) -> Dict[int, str]:
        """.. deprecated:: 1.1.0"""
        warnings.warn("_AXIS_NAMES has been deprecated.", FutureWarning, stacklevel=3)
        return {0: "index"}

    def _construct_axes_dict(self, axes=None, **kwargs):
        """Return an axes dictionary for myself."""
        d = {a: self._get_axis(a) for a in (axes or self._AXIS_ORDERS)}
        d.update(kwargs)
        return d

    @classmethod
    def _construct_axes_from_arguments(
        cls, args, kwargs, require_all: bool = False, sentinel=None
    ):
        """
        Construct and returns axes if supplied in args/kwargs.

        If require_all, raise if all axis arguments are not supplied
        return a tuple of (axes, kwargs).

        sentinel specifies the default parameter when an axis is not
        supplied; useful to distinguish when a user explicitly passes None
        in scenarios where None has special meaning.
        """
        # construct the args
        args = list(args)
        for a in cls._AXIS_ORDERS:

            # look for a argument by position
            if a not in kwargs:
                try:
                    kwargs[a] = args.pop(0)
                except IndexError as err:
                    if require_all:
                        raise TypeError(
                            "not enough/duplicate arguments specified!"
                        ) from err

        axes = {a: kwargs.pop(a, sentinel) for a in cls._AXIS_ORDERS}
        return axes, kwargs

    @classmethod
    def _get_axis_number(cls, axis: Axis) -> int:
        try:
            return cls._AXIS_TO_AXIS_NUMBER[axis]
        except KeyError:
            raise ValueError(f"No axis named {axis} for object type {cls.__name__}")

    @classmethod
    def _get_axis_name(cls, axis: Axis) -> str:
        axis_number = cls._get_axis_number(axis)
        return cls._AXIS_ORDERS[axis_number]

    def _get_axis(self, axis: Axis) -> Index:
        axis_number = self._get_axis_number(axis)
        assert axis_number in {0, 1}
        return self.index if axis_number == 0 else self.columns

    @classmethod
    def _get_block_manager_axis(cls, axis: Axis) -> int:
        """Map the axis to the block_manager axis."""
        axis = cls._get_axis_number(axis)
        if cls._AXIS_REVERSED:
            m = cls._AXIS_LEN - 1
            return m - axis
        return axis

    def _get_axis_resolvers(self, axis: str) -> Dict[str, Union[Series, MultiIndex]]:
        # index or columns
        axis_index = getattr(self, axis)
        d = dict()
        prefix = axis[0]

        for i, name in enumerate(axis_index.names):
            if name is not None:
                key = level = name
            else:
                # prefix with 'i' or 'c' depending on the input axis
                # e.g., you must do ilevel_0 for the 0th level of an unnamed
                # multiiindex
                key = f"{prefix}level_{i}"
                level = i

            level_values = axis_index.get_level_values(level)
            s = level_values.to_series()
            s.index = axis_index
            d[key] = s

        # put the index/columns itself in the dict
        if isinstance(axis_index, MultiIndex):
            dindex = axis_index
        else:
            dindex = axis_index.to_series()

        d[axis] = dindex
        return d

    def _get_index_resolvers(self) -> Dict[str, Union[Series, MultiIndex]]:
        from pandas.core.computation.parsing import clean_column_name

        d: Dict[str, Union[Series, MultiIndex]] = {}
        for axis_name in self._AXIS_ORDERS:
            d.update(self._get_axis_resolvers(axis_name))

        return {clean_column_name(k): v for k, v in d.items() if not isinstance(k, int)}

    def _get_cleaned_column_resolvers(self) -> Dict[str, ABCSeries]:
        """
        Return the special character free column resolvers of a dataframe.

        Column names with special characters are 'cleaned up' so that they can
        be referred to by backtick quoting.
        Used in :meth:`DataFrame.eval`.
        """
        from pandas.core.computation.parsing import clean_column_name

        if isinstance(self, ABCSeries):
            return {clean_column_name(self.name): self}

        return {
            clean_column_name(k): v for k, v in self.items() if not isinstance(k, int)
        }

    @property
    def _info_axis(self) -> Index:
        return getattr(self, self._info_axis_name)

    @property
    def _stat_axis(self) -> Index:
        return getattr(self, self._stat_axis_name)

    @property
    def shape(self) -> Tuple[int, ...]:
        """
        Return a tuple of axis dimensions
        """
        return tuple(len(self._get_axis(a)) for a in self._AXIS_ORDERS)

    @property
    def axes(self) -> List[Index]:
        """
        Return index label(s) of the internal NDFrame
        """
        # we do it this way because if we have reversed axes, then
        # the block manager shows then reversed
        return [self._get_axis(a) for a in self._AXIS_ORDERS]

    @property
    def ndim(self) -> int:
        """
        Return an int representing the number of axes / array dimensions.

        Return 1 if Series. Otherwise return 2 if DataFrame.

        See Also
        --------
        ndarray.ndim : Number of array dimensions.

        Examples
        --------
        >>> s = pd.Series({'a': 1, 'b': 2, 'c': 3})
        >>> s.ndim
        1

        >>> df = pd.DataFrame({'col1': [1, 2], 'col2': [3, 4]})
        >>> df.ndim
        2
        """
        return self._mgr.ndim

    @property
    def size(self) -> int:
        """
        Return an int representing the number of elements in this object.

        Return the number of rows if Series. Otherwise return the number of
        rows times number of columns if DataFrame.

        See Also
        --------
        ndarray.size : Number of elements in the array.

        Examples
        --------
        >>> s = pd.Series({'a': 1, 'b': 2, 'c': 3})
        >>> s.size
        3

        >>> df = pd.DataFrame({'col1': [1, 2], 'col2': [3, 4]})
        >>> df.size
        4
        """
        return np.prod(self.shape)

    @property
    def _selected_obj(self: FrameOrSeries) -> FrameOrSeries:
        """ internal compat with SelectionMixin """
        return self

    @property
    def _obj_with_exclusions(self: FrameOrSeries) -> FrameOrSeries:
        """ internal compat with SelectionMixin """
        return self

    def set_axis(self, labels, axis: Axis = 0, inplace: bool = False):
        """
        Assign desired index to given axis.

        Indexes for%(extended_summary_sub)s row labels can be changed by assigning
        a list-like or Index.

        Parameters
        ----------
        labels : list-like, Index
            The values for the new index.

        axis : %(axes_single_arg)s, default 0
            The axis to update. The value 0 identifies the rows%(axis_description_sub)s.

        inplace : bool, default False
            Whether to return a new %(klass)s instance.

        Returns
        -------
        renamed : %(klass)s or None
            An object of type %(klass)s if inplace=False, None otherwise.

        See Also
        --------
        %(klass)s.rename_axis : Alter the name of the index%(see_also_sub)s.
        """
        self._check_inplace_and_allows_duplicate_labels(inplace)
        return self._set_axis_nocheck(labels, axis, inplace)

    def _set_axis_nocheck(self, labels, axis: Axis, inplace: bool):
        # NDFrame.rename with inplace=False calls set_axis(inplace=True) on a copy.
        if inplace:
            setattr(self, self._get_axis_name(axis), labels)
        else:
            obj = self.copy()
            obj.set_axis(labels, axis=axis, inplace=True)
            return obj

    def _set_axis(self, axis: int, labels: Index) -> None:
        labels = ensure_index(labels)
        self._mgr.set_axis(axis, labels)
        self._clear_item_cache()

    def swapaxes(self: FrameOrSeries, axis1, axis2, copy=True) -> FrameOrSeries:
        """
        Interchange axes and swap values axes appropriately.

        Returns
        -------
        y : same as input
        """
        i = self._get_axis_number(axis1)
        j = self._get_axis_number(axis2)

        if i == j:
            if copy:
                return self.copy()
            return self

        mapping = {i: j, j: i}

        new_axes = (self._get_axis(mapping.get(k, k)) for k in range(self._AXIS_LEN))
        new_values = self.values.swapaxes(i, j)
        if copy:
            new_values = new_values.copy()

        # ignore needed because of NDFrame constructor is different than
        # DataFrame/Series constructors.
        return self._constructor(
            new_values, *new_axes  # type: ignore[arg-type]
        ).__finalize__(self, method="swapaxes")

    def droplevel(self: FrameOrSeries, level, axis=0) -> FrameOrSeries:
        """
        Return DataFrame with requested index / column level(s) removed.

        .. versionadded:: 0.24.0

        Parameters
        ----------
        level : int, str, or list-like
            If a string is given, must be the name of a level
            If list-like, elements must be names or positional indexes
            of levels.

        axis : {0 or 'index', 1 or 'columns'}, default 0
            Axis along which the level(s) is removed:

            * 0 or 'index': remove level(s) in column.
            * 1 or 'columns': remove level(s) in row.

        Returns
        -------
        DataFrame
            DataFrame with requested index / column level(s) removed.

        Examples
        --------
        >>> df = pd.DataFrame([
        ...     [1, 2, 3, 4],
        ...     [5, 6, 7, 8],
        ...     [9, 10, 11, 12]
        ... ]).set_index([0, 1]).rename_axis(['a', 'b'])

        >>> df.columns = pd.MultiIndex.from_tuples([
        ...     ('c', 'e'), ('d', 'f')
        ... ], names=['level_1', 'level_2'])

        >>> df
        level_1   c   d
        level_2   e   f
        a b
        1 2      3   4
        5 6      7   8
        9 10    11  12

        >>> df.droplevel('a')
        level_1   c   d
        level_2   e   f
        b
        2        3   4
        6        7   8
        10      11  12

        >>> df.droplevel('level_2', axis=1)
        level_1   c   d
        a b
        1 2      3   4
        5 6      7   8
        9 10    11  12
        """
        labels = self._get_axis(axis)
        new_labels = labels.droplevel(level)
        result = self.set_axis(new_labels, axis=axis, inplace=False)
        return result

    def pop(self, item: Label) -> Union[Series, Any]:
        result = self[item]
        del self[item]
        if self.ndim == 2:
            result._reset_cacher()

        return result

    def squeeze(self, axis=None):
        """
        Squeeze 1 dimensional axis objects into scalars.

        Series or DataFrames with a single element are squeezed to a scalar.
        DataFrames with a single column or a single row are squeezed to a
        Series. Otherwise the object is unchanged.

        This method is most useful when you don't know if your
        object is a Series or DataFrame, but you do know it has just a single
        column. In that case you can safely call `squeeze` to ensure you have a
        Series.

        Parameters
        ----------
        axis : {0 or 'index', 1 or 'columns', None}, default None
            A specific axis to squeeze. By default, all length-1 axes are
            squeezed.

        Returns
        -------
        DataFrame, Series, or scalar
            The projection after squeezing `axis` or all the axes.

        See Also
        --------
        Series.iloc : Integer-location based indexing for selecting scalars.
        DataFrame.iloc : Integer-location based indexing for selecting Series.
        Series.to_frame : Inverse of DataFrame.squeeze for a
            single-column DataFrame.

        Examples
        --------
        >>> primes = pd.Series([2, 3, 5, 7])

        Slicing might produce a Series with a single value:

        >>> even_primes = primes[primes % 2 == 0]
        >>> even_primes
        0    2
        dtype: int64

        >>> even_primes.squeeze()
        2

        Squeezing objects with more than one value in every axis does nothing:

        >>> odd_primes = primes[primes % 2 == 1]
        >>> odd_primes
        1    3
        2    5
        3    7
        dtype: int64

        >>> odd_primes.squeeze()
        1    3
        2    5
        3    7
        dtype: int64

        Squeezing is even more effective when used with DataFrames.

        >>> df = pd.DataFrame([[1, 2], [3, 4]], columns=['a', 'b'])
        >>> df
           a  b
        0  1  2
        1  3  4

        Slicing a single column will produce a DataFrame with the columns
        having only one value:

        >>> df_a = df[['a']]
        >>> df_a
           a
        0  1
        1  3

        So the columns can be squeezed down, resulting in a Series:

        >>> df_a.squeeze('columns')
        0    1
        1    3
        Name: a, dtype: int64

        Slicing a single row from a single column will produce a single
        scalar DataFrame:

        >>> df_0a = df.loc[df.index < 1, ['a']]
        >>> df_0a
           a
        0  1

        Squeezing the rows produces a single scalar Series:

        >>> df_0a.squeeze('rows')
        a    1
        Name: 0, dtype: int64

        Squeezing all axes will project directly into a scalar:

        >>> df_0a.squeeze()
        1
        """
        axis = range(self._AXIS_LEN) if axis is None else (self._get_axis_number(axis),)
        return self.iloc[
            tuple(
                0 if i in axis and len(a) == 1 else slice(None)
                for i, a in enumerate(self.axes)
            )
        ]

    # ----------------------------------------------------------------------
    # Rename

    def rename(
        self: FrameOrSeries,
        mapper: Optional[Renamer] = None,
        *,
        index: Optional[Renamer] = None,
        columns: Optional[Renamer] = None,
        axis: Optional[Axis] = None,
        copy: bool = True,
        inplace: bool = False,
        level: Optional[Level] = None,
        errors: str = "ignore",
    ) -> Optional[FrameOrSeries]:
        """
        Alter axes input function or functions. Function / dict values must be
        unique (1-to-1). Labels not contained in a dict / Series will be left
        as-is. Extra labels listed don't throw an error. Alternatively, change
        ``Series.name`` with a scalar value (Series only).

        Parameters
        ----------
        %(axes)s : scalar, list-like, dict-like or function, optional
            Scalar or list-like will alter the ``Series.name`` attribute,
            and raise on DataFrame.
            dict-like or functions are transformations to apply to
            that axis' values
        copy : bool, default True
            Also copy underlying data.
        inplace : bool, default False
            Whether to return a new {klass}. If True then value of copy is
            ignored.
        level : int or level name, default None
            In case of a MultiIndex, only rename labels in the specified
            level.
        errors : {'ignore', 'raise'}, default 'ignore'
            If 'raise', raise a `KeyError` when a dict-like `mapper`, `index`,
            or `columns` contains labels that are not present in the Index
            being transformed.
            If 'ignore', existing keys will be renamed and extra keys will be
            ignored.

        Returns
        -------
        renamed : {klass} (new object)

        Raises
        ------
        KeyError
            If any of the labels is not found in the selected axis and
            "errors='raise'".

        See Also
        --------
        NDFrame.rename_axis

        Examples
        --------
        >>> s = pd.Series([1, 2, 3])
        >>> s
        0    1
        1    2
        2    3
        dtype: int64
        >>> s.rename("my_name") # scalar, changes Series.name
        0    1
        1    2
        2    3
        Name: my_name, dtype: int64
        >>> s.rename(lambda x: x ** 2)  # function, changes labels
        0    1
        1    2
        4    3
        dtype: int64
        >>> s.rename({1: 3, 2: 5})  # mapping, changes labels
        0    1
        3    2
        5    3
        dtype: int64

        Since ``DataFrame`` doesn't have a ``.name`` attribute,
        only mapping-type arguments are allowed.

        >>> df = pd.DataFrame({"A": [1, 2, 3], "B": [4, 5, 6]})
        >>> df.rename(2)
        Traceback (most recent call last):
        ...
        TypeError: 'int' object is not callable

        ``DataFrame.rename`` supports two calling conventions

        * ``(index=index_mapper, columns=columns_mapper, ...)``
        * ``(mapper, axis={'index', 'columns'}, ...)``

        We *highly* recommend using keyword arguments to clarify your
        intent.

        >>> df.rename(index=str, columns={"A": "a", "B": "c"})
           a  c
        0  1  4
        1  2  5
        2  3  6

        >>> df.rename(index=str, columns={"A": "a", "C": "c"})
           a  B
        0  1  4
        1  2  5
        2  3  6

        Using axis-style parameters

        >>> df.rename(str.lower, axis='columns')
           a  b
        0  1  4
        1  2  5
        2  3  6

        >>> df.rename({1: 2, 2: 4}, axis='index')
           A  B
        0  1  4
        2  2  5
        4  3  6

        See the :ref:`user guide <basics.rename>` for more.
        """
        if mapper is None and index is None and columns is None:
            raise TypeError("must pass an index to rename")

        if index is not None or columns is not None:
            if axis is not None:
                raise TypeError(
                    "Cannot specify both 'axis' and any of 'index' or 'columns'"
                )
            elif mapper is not None:
                raise TypeError(
                    "Cannot specify both 'mapper' and any of 'index' or 'columns'"
                )
        else:
            # use the mapper argument
            if axis and self._get_axis_number(axis) == 1:
                columns = mapper
            else:
                index = mapper

        self._check_inplace_and_allows_duplicate_labels(inplace)
        result = self if inplace else self.copy(deep=copy)

        for axis_no, replacements in enumerate((index, columns)):
            if replacements is None:
                continue

            ax = self._get_axis(axis_no)
            f = com.get_rename_function(replacements)

            if level is not None:
                level = ax._get_level_number(level)

            # GH 13473
            if not callable(replacements):
                indexer = ax.get_indexer_for(replacements)
                if errors == "raise" and len(indexer[indexer == -1]):
                    missing_labels = [
                        label
                        for index, label in enumerate(replacements)
                        if indexer[index] == -1
                    ]
                    raise KeyError(f"{missing_labels} not found in axis")

            new_index = ax._transform_index(f, level)
            result._set_axis_nocheck(new_index, axis=axis_no, inplace=True)
            result._clear_item_cache()

        if inplace:
            self._update_inplace(result)
            return None
        else:
            return result.__finalize__(self, method="rename")

    @rewrite_axis_style_signature("mapper", [("copy", True), ("inplace", False)])
    def rename_axis(self, mapper=lib.no_default, **kwargs):
        """
        Set the name of the axis for the index or columns.

        Parameters
        ----------
        mapper : scalar, list-like, optional
            Value to set the axis name attribute.
        index, columns : scalar, list-like, dict-like or function, optional
            A scalar, list-like, dict-like or functions transformations to
            apply to that axis' values.
            Note that the ``columns`` parameter is not allowed if the
            object is a Series. This parameter only apply for DataFrame
            type objects.

            Use either ``mapper`` and ``axis`` to
            specify the axis to target with ``mapper``, or ``index``
            and/or ``columns``.

            .. versionchanged:: 0.24.0

        axis : {0 or 'index', 1 or 'columns'}, default 0
            The axis to rename.
        copy : bool, default True
            Also copy underlying data.
        inplace : bool, default False
            Modifies the object directly, instead of creating a new Series
            or DataFrame.

        Returns
        -------
        Series, DataFrame, or None
            The same type as the caller or None if `inplace` is True.

        See Also
        --------
        Series.rename : Alter Series index labels or name.
        DataFrame.rename : Alter DataFrame index labels or name.
        Index.rename : Set new names on index.

        Notes
        -----
        ``DataFrame.rename_axis`` supports two calling conventions

        * ``(index=index_mapper, columns=columns_mapper, ...)``
        * ``(mapper, axis={'index', 'columns'}, ...)``

        The first calling convention will only modify the names of
        the index and/or the names of the Index object that is the columns.
        In this case, the parameter ``copy`` is ignored.

        The second calling convention will modify the names of the
        the corresponding index if mapper is a list or a scalar.
        However, if mapper is dict-like or a function, it will use the
        deprecated behavior of modifying the axis *labels*.

        We *highly* recommend using keyword arguments to clarify your
        intent.

        Examples
        --------
        **Series**

        >>> s = pd.Series(["dog", "cat", "monkey"])
        >>> s
        0       dog
        1       cat
        2    monkey
        dtype: object
        >>> s.rename_axis("animal")
        animal
        0    dog
        1    cat
        2    monkey
        dtype: object

        **DataFrame**

        >>> df = pd.DataFrame({"num_legs": [4, 4, 2],
        ...                    "num_arms": [0, 0, 2]},
        ...                   ["dog", "cat", "monkey"])
        >>> df
                num_legs  num_arms
        dog            4         0
        cat            4         0
        monkey         2         2
        >>> df = df.rename_axis("animal")
        >>> df
                num_legs  num_arms
        animal
        dog            4         0
        cat            4         0
        monkey         2         2
        >>> df = df.rename_axis("limbs", axis="columns")
        >>> df
        limbs   num_legs  num_arms
        animal
        dog            4         0
        cat            4         0
        monkey         2         2

        **MultiIndex**

        >>> df.index = pd.MultiIndex.from_product([['mammal'],
        ...                                        ['dog', 'cat', 'monkey']],
        ...                                       names=['type', 'name'])
        >>> df
        limbs          num_legs  num_arms
        type   name
        mammal dog            4         0
               cat            4         0
               monkey         2         2

        >>> df.rename_axis(index={'type': 'class'})
        limbs          num_legs  num_arms
        class  name
        mammal dog            4         0
               cat            4         0
               monkey         2         2

        >>> df.rename_axis(columns=str.upper)
        LIMBS          num_legs  num_arms
        type   name
        mammal dog            4         0
               cat            4         0
               monkey         2         2
        """
        axes, kwargs = self._construct_axes_from_arguments(
            (), kwargs, sentinel=lib.no_default
        )
        copy = kwargs.pop("copy", True)
        inplace = kwargs.pop("inplace", False)
        axis = kwargs.pop("axis", 0)
        if axis is not None:
            axis = self._get_axis_number(axis)

        if kwargs:
            raise TypeError(
                "rename_axis() got an unexpected keyword "
                f'argument "{list(kwargs.keys())[0]}"'
            )

        inplace = validate_bool_kwarg(inplace, "inplace")

        if mapper is not lib.no_default:
            # Use v0.23 behavior if a scalar or list
            non_mapper = is_scalar(mapper) or (
                is_list_like(mapper) and not is_dict_like(mapper)
            )
            if non_mapper:
                return self._set_axis_name(mapper, axis=axis, inplace=inplace)
            else:
                raise ValueError("Use `.rename` to alter labels with a mapper.")
        else:
            # Use new behavior.  Means that index and/or columns
            # is specified
            result = self if inplace else self.copy(deep=copy)

            for axis in range(self._AXIS_LEN):
                v = axes.get(self._get_axis_name(axis))
                if v is lib.no_default:
                    continue
                non_mapper = is_scalar(v) or (is_list_like(v) and not is_dict_like(v))
                if non_mapper:
                    newnames = v
                else:
                    f = com.get_rename_function(v)
                    curnames = self._get_axis(axis).names
                    newnames = [f(name) for name in curnames]
                result._set_axis_name(newnames, axis=axis, inplace=True)
            if not inplace:
                return result

    def _set_axis_name(self, name, axis=0, inplace=False):
        """
        Set the name(s) of the axis.

        Parameters
        ----------
        name : str or list of str
            Name(s) to set.
        axis : {0 or 'index', 1 or 'columns'}, default 0
            The axis to set the label. The value 0 or 'index' specifies index,
            and the value 1 or 'columns' specifies columns.
        inplace : bool, default False
            If `True`, do operation inplace and return None.

        Returns
        -------
        Series, DataFrame, or None
            The same type as the caller or `None` if `inplace` is `True`.

        See Also
        --------
        DataFrame.rename : Alter the axis labels of :class:`DataFrame`.
        Series.rename : Alter the index labels or set the index name
            of :class:`Series`.
        Index.rename : Set the name of :class:`Index` or :class:`MultiIndex`.

        Examples
        --------
        >>> df = pd.DataFrame({"num_legs": [4, 4, 2]},
        ...                   ["dog", "cat", "monkey"])
        >>> df
                num_legs
        dog            4
        cat            4
        monkey         2
        >>> df._set_axis_name("animal")
                num_legs
        animal
        dog            4
        cat            4
        monkey         2
        >>> df.index = pd.MultiIndex.from_product(
        ...                [["mammal"], ['dog', 'cat', 'monkey']])
        >>> df._set_axis_name(["type", "name"])
                       num_legs
        type   name
        mammal dog        4
               cat        4
               monkey     2
        """
        axis = self._get_axis_number(axis)
        idx = self._get_axis(axis).set_names(name)

        inplace = validate_bool_kwarg(inplace, "inplace")
        renamed = self if inplace else self.copy()
        renamed.set_axis(idx, axis=axis, inplace=True)
        if not inplace:
            return renamed

    # ----------------------------------------------------------------------
    # Comparison Methods

    def _indexed_same(self, other) -> bool:
        return all(
            self._get_axis(a).equals(other._get_axis(a)) for a in self._AXIS_ORDERS
        )

    def equals(self, other: object) -> bool:
        """
        Test whether two objects contain the same elements.

        This function allows two Series or DataFrames to be compared against
        each other to see if they have the same shape and elements. NaNs in
        the same location are considered equal.

        The row/column index do not need to have the same type, as long
        as the values are considered equal. Corresponding columns must be of
        the same dtype.

        Parameters
        ----------
        other : Series or DataFrame
            The other Series or DataFrame to be compared with the first.

        Returns
        -------
        bool
            True if all elements are the same in both objects, False
            otherwise.

        See Also
        --------
        Series.eq : Compare two Series objects of the same length
            and return a Series where each element is True if the element
            in each Series is equal, False otherwise.
        DataFrame.eq : Compare two DataFrame objects of the same shape and
            return a DataFrame where each element is True if the respective
            element in each DataFrame is equal, False otherwise.
        testing.assert_series_equal : Raises an AssertionError if left and
            right are not equal. Provides an easy interface to ignore
            inequality in dtypes, indexes and precision among others.
        testing.assert_frame_equal : Like assert_series_equal, but targets
            DataFrames.
        numpy.array_equal : Return True if two arrays have the same shape
            and elements, False otherwise.

        Examples
        --------
        >>> df = pd.DataFrame({1: [10], 2: [20]})
        >>> df
            1   2
        0  10  20

        DataFrames df and exactly_equal have the same types and values for
        their elements and column labels, which will return True.

        >>> exactly_equal = pd.DataFrame({1: [10], 2: [20]})
        >>> exactly_equal
            1   2
        0  10  20
        >>> df.equals(exactly_equal)
        True

        DataFrames df and different_column_type have the same element
        types and values, but have different types for the column labels,
        which will still return True.

        >>> different_column_type = pd.DataFrame({1.0: [10], 2.0: [20]})
        >>> different_column_type
           1.0  2.0
        0   10   20
        >>> df.equals(different_column_type)
        True

        DataFrames df and different_data_type have different types for the
        same values for their elements, and will return False even though
        their column labels are the same values and types.

        >>> different_data_type = pd.DataFrame({1: [10.0], 2: [20.0]})
        >>> different_data_type
              1     2
        0  10.0  20.0
        >>> df.equals(different_data_type)
        False
        """
        if not (isinstance(other, type(self)) or isinstance(self, type(other))):
            return False
        other = cast(NDFrame, other)
        return self._mgr.equals(other._mgr)

    # -------------------------------------------------------------------------
    # Unary Methods

    def __neg__(self):
        values = self._values
        if is_bool_dtype(values):
            arr = operator.inv(values)
        elif (
            is_numeric_dtype(values)
            or is_timedelta64_dtype(values)
            or is_object_dtype(values)
        ):
            arr = operator.neg(values)
        else:
            raise TypeError(f"Unary negative expects numeric dtype, not {values.dtype}")
        return self.__array_wrap__(arr)

    def __pos__(self):
        values = self._values
        if is_bool_dtype(values):
            arr = values
        elif (
            is_numeric_dtype(values)
            or is_timedelta64_dtype(values)
            or is_object_dtype(values)
        ):
            arr = operator.pos(values)
        else:
            raise TypeError(
                "Unary plus expects bool, numeric, timedelta, "
                f"or object dtype, not {values.dtype}"
            )
        return self.__array_wrap__(arr)

    def __invert__(self):
        if not self.size:
            # inv fails with 0 len
            return self

        new_data = self._mgr.apply(operator.invert)
        result = self._constructor(new_data).__finalize__(self, method="__invert__")
        return result

    def __nonzero__(self):
        raise ValueError(
            f"The truth value of a {type(self).__name__} is ambiguous. "
            "Use a.empty, a.bool(), a.item(), a.any() or a.all()."
        )

    __bool__ = __nonzero__

    def bool(self):
        """
        Return the bool of a single element Series or DataFrame.

        This must be a boolean scalar value, either True or False. It will raise a
        ValueError if the Series or DataFrame does not have exactly 1 element, or that
        element is not boolean (integer values 0 and 1 will also raise an exception).

        Returns
        -------
        bool
            The value in the Series or DataFrame.

        See Also
        --------
        Series.astype : Change the data type of a Series, including to boolean.
        DataFrame.astype : Change the data type of a DataFrame, including to boolean.
        numpy.bool_ : NumPy boolean data type, used by pandas for boolean values.

        Examples
        --------
        The method will only work for single element objects with a boolean value:

        >>> pd.Series([True]).bool()
        True
        >>> pd.Series([False]).bool()
        False

        >>> pd.DataFrame({'col': [True]}).bool()
        True
        >>> pd.DataFrame({'col': [False]}).bool()
        False
        """
        v = self.squeeze()
        if isinstance(v, (bool, np.bool_)):
            return bool(v)
        elif is_scalar(v):
            raise ValueError(
                "bool cannot act on a non-boolean single element "
                f"{type(self).__name__}"
            )

        self.__nonzero__()

    def __abs__(self: FrameOrSeries) -> FrameOrSeries:
        return self.abs()

    def __round__(self: FrameOrSeries, decimals: int = 0) -> FrameOrSeries:
        return self.round(decimals)

    # -------------------------------------------------------------------------
    # Label or Level Combination Helpers
    #
    # A collection of helper methods for DataFrame/Series operations that
    # accept a combination of column/index labels and levels.  All such
    # operations should utilize/extend these methods when possible so that we
    # have consistent precedence and validation logic throughout the library.

    def _is_level_reference(self, key, axis=0):
        """
        Test whether a key is a level reference for a given axis.

        To be considered a level reference, `key` must be a string that:
          - (axis=0): Matches the name of an index level and does NOT match
            a column label.
          - (axis=1): Matches the name of a column level and does NOT match
            an index label.

        Parameters
        ----------
        key : str
            Potential level name for the given axis
        axis : int, default 0
            Axis that levels are associated with (0 for index, 1 for columns)

        Returns
        -------
        is_level : bool
        """
        axis = self._get_axis_number(axis)

        return (
            key is not None
            and is_hashable(key)
            and key in self.axes[axis].names
            and not self._is_label_reference(key, axis=axis)
        )

    def _is_label_reference(self, key, axis=0) -> bool_t:
        """
        Test whether a key is a label reference for a given axis.

        To be considered a label reference, `key` must be a string that:
          - (axis=0): Matches a column label
          - (axis=1): Matches an index label

        Parameters
        ----------
        key: str
            Potential label name
        axis: int, default 0
            Axis perpendicular to the axis that labels are associated with
            (0 means search for column labels, 1 means search for index labels)

        Returns
        -------
        is_label: bool
        """
        axis = self._get_axis_number(axis)
        other_axes = (ax for ax in range(self._AXIS_LEN) if ax != axis)

        return (
            key is not None
            and is_hashable(key)
            and any(key in self.axes[ax] for ax in other_axes)
        )

    def _is_label_or_level_reference(self, key: str, axis: int = 0) -> bool_t:
        """
        Test whether a key is a label or level reference for a given axis.

        To be considered either a label or a level reference, `key` must be a
        string that:
          - (axis=0): Matches a column label or an index level
          - (axis=1): Matches an index label or a column level

        Parameters
        ----------
        key: str
            Potential label or level name
        axis: int, default 0
            Axis that levels are associated with (0 for index, 1 for columns)

        Returns
        -------
        is_label_or_level: bool
        """
        return self._is_level_reference(key, axis=axis) or self._is_label_reference(
            key, axis=axis
        )

    def _check_label_or_level_ambiguity(self, key, axis: int = 0) -> None:
        """
        Check whether `key` is ambiguous.

        By ambiguous, we mean that it matches both a level of the input
        `axis` and a label of the other axis.

        Parameters
        ----------
        key: str or object
            Label or level name.
        axis: int, default 0
            Axis that levels are associated with (0 for index, 1 for columns).

        Raises
        ------
        ValueError: `key` is ambiguous
        """
        axis = self._get_axis_number(axis)
        other_axes = (ax for ax in range(self._AXIS_LEN) if ax != axis)

        if (
            key is not None
            and is_hashable(key)
            and key in self.axes[axis].names
            and any(key in self.axes[ax] for ax in other_axes)
        ):

            # Build an informative and grammatical warning
            level_article, level_type = (
                ("an", "index") if axis == 0 else ("a", "column")
            )

            label_article, label_type = (
                ("a", "column") if axis == 0 else ("an", "index")
            )

            msg = (
                f"'{key}' is both {level_article} {level_type} level and "
                f"{label_article} {label_type} label, which is ambiguous."
            )
            raise ValueError(msg)

    def _get_label_or_level_values(self, key: str, axis: int = 0) -> np.ndarray:
        """
        Return a 1-D array of values associated with `key`, a label or level
        from the given `axis`.

        Retrieval logic:
          - (axis=0): Return column values if `key` matches a column label.
            Otherwise return index level values if `key` matches an index
            level.
          - (axis=1): Return row values if `key` matches an index label.
            Otherwise return column level values if 'key' matches a column
            level

        Parameters
        ----------
        key: str
            Label or level name.
        axis: int, default 0
            Axis that levels are associated with (0 for index, 1 for columns)

        Returns
        -------
        values: np.ndarray

        Raises
        ------
        KeyError
            if `key` matches neither a label nor a level
        ValueError
            if `key` matches multiple labels
        FutureWarning
            if `key` is ambiguous. This will become an ambiguity error in a
            future version
        """
        axis = self._get_axis_number(axis)
        other_axes = [ax for ax in range(self._AXIS_LEN) if ax != axis]

        if self._is_label_reference(key, axis=axis):
            self._check_label_or_level_ambiguity(key, axis=axis)
            values = self.xs(key, axis=other_axes[0])._values
        elif self._is_level_reference(key, axis=axis):
            values = self.axes[axis].get_level_values(key)._values
        else:
            raise KeyError(key)

        # Check for duplicates
        if values.ndim > 1:

            if other_axes and isinstance(self._get_axis(other_axes[0]), MultiIndex):
                multi_message = (
                    "\n"
                    "For a multi-index, the label must be a "
                    "tuple with elements corresponding to each level."
                )
            else:
                multi_message = ""

            label_axis_name = "column" if axis == 0 else "index"
            raise ValueError(
                f"The {label_axis_name} label '{key}' is not unique.{multi_message}"
            )

        return values

    def _drop_labels_or_levels(self, keys, axis: int = 0):
        """
        Drop labels and/or levels for the given `axis`.

        For each key in `keys`:
          - (axis=0): If key matches a column label then drop the column.
            Otherwise if key matches an index level then drop the level.
          - (axis=1): If key matches an index label then drop the row.
            Otherwise if key matches a column level then drop the level.

        Parameters
        ----------
        keys: str or list of str
            labels or levels to drop
        axis: int, default 0
            Axis that levels are associated with (0 for index, 1 for columns)

        Returns
        -------
        dropped: DataFrame

        Raises
        ------
        ValueError
            if any `keys` match neither a label nor a level
        """
        axis = self._get_axis_number(axis)

        # Validate keys
        keys = com.maybe_make_list(keys)
        invalid_keys = [
            k for k in keys if not self._is_label_or_level_reference(k, axis=axis)
        ]

        if invalid_keys:
            raise ValueError(
                "The following keys are not valid labels or "
                f"levels for axis {axis}: {invalid_keys}"
            )

        # Compute levels and labels to drop
        levels_to_drop = [k for k in keys if self._is_level_reference(k, axis=axis)]

        labels_to_drop = [k for k in keys if not self._is_level_reference(k, axis=axis)]

        # Perform copy upfront and then use inplace operations below.
        # This ensures that we always perform exactly one copy.
        # ``copy`` and/or ``inplace`` options could be added in the future.
        dropped = self.copy()

        if axis == 0:
            # Handle dropping index levels
            if levels_to_drop:
                dropped.reset_index(levels_to_drop, drop=True, inplace=True)

            # Handle dropping columns labels
            if labels_to_drop:
                dropped.drop(labels_to_drop, axis=1, inplace=True)
        else:
            # Handle dropping column levels
            if levels_to_drop:
                if isinstance(dropped.columns, MultiIndex):
                    # Drop the specified levels from the MultiIndex
                    dropped.columns = dropped.columns.droplevel(levels_to_drop)
                else:
                    # Drop the last level of Index by replacing with
                    # a RangeIndex
                    dropped.columns = RangeIndex(dropped.columns.size)

            # Handle dropping index labels
            if labels_to_drop:
                dropped.drop(labels_to_drop, axis=0, inplace=True)

        return dropped

    # ----------------------------------------------------------------------
    # Iteration

    def __hash__(self):
        raise TypeError(
            f"{repr(type(self).__name__)} objects are mutable, "
            f"thus they cannot be hashed"
        )

    def __iter__(self):
        """
        Iterate over info axis.

        Returns
        -------
        iterator
            Info axis as iterator.
        """
        return iter(self._info_axis)

    # can we get a better explanation of this?
    def keys(self):
        """
        Get the 'info axis' (see Indexing for more).

        This is index for Series, columns for DataFrame.

        Returns
        -------
        Index
            Info axis.
        """
        return self._info_axis

    def items(self):
        """
        Iterate over (label, values) on info axis

        This is index for Series and columns for DataFrame.

        Returns
        -------
        Generator
        """
        for h in self._info_axis:
            yield h, self[h]

    @doc(items)
    def iteritems(self):
        return self.items()

    def __len__(self) -> int:
        """Returns length of info axis"""
        return len(self._info_axis)

    def __contains__(self, key) -> bool_t:
        """True if the key is in the info axis"""
        return key in self._info_axis

    @property
    def empty(self) -> bool_t:
        """
        Indicator whether DataFrame is empty.

        True if DataFrame is entirely empty (no items), meaning any of the
        axes are of length 0.

        Returns
        -------
        bool
            If DataFrame is empty, return True, if not return False.

        See Also
        --------
        Series.dropna : Return series without null values.
        DataFrame.dropna : Return DataFrame with labels on given axis omitted
            where (all or any) data are missing.

        Notes
        -----
        If DataFrame contains only NaNs, it is still not considered empty. See
        the example below.

        Examples
        --------
        An example of an actual empty DataFrame. Notice the index is empty:

        >>> df_empty = pd.DataFrame({'A' : []})
        >>> df_empty
        Empty DataFrame
        Columns: [A]
        Index: []
        >>> df_empty.empty
        True

        If we only have NaNs in our DataFrame, it is not considered empty! We
        will need to drop the NaNs to make the DataFrame empty:

        >>> df = pd.DataFrame({'A' : [np.nan]})
        >>> df
            A
        0 NaN
        >>> df.empty
        False
        >>> df.dropna().empty
        True
        """
        return any(len(self._get_axis(a)) == 0 for a in self._AXIS_ORDERS)

    # ----------------------------------------------------------------------
    # Array Interface

    # This is also set in IndexOpsMixin
    # GH#23114 Ensure ndarray.__op__(DataFrame) returns NotImplemented
    __array_priority__ = 1000

    def __array__(self, dtype=None) -> np.ndarray:
        return np.asarray(self._values, dtype=dtype)

    def __array_wrap__(
        self,
        result: np.ndarray,
        context: Optional[Tuple[Callable, Tuple[Any, ...], int]] = None,
    ):
        """
        Gets called after a ufunc and other functions.

        Parameters
        ----------
        result: np.ndarray
            The result of the ufunc or other function called on the NumPy array
            returned by __array__
        context: tuple of (func, tuple, int)
            This parameter is returned by ufuncs as a 3-element tuple: (name of the
            ufunc, arguments of the ufunc, domain of the ufunc), but is not set by
            other numpy functions.q

        Notes
        -----
        Series implements __array_ufunc_ so this not called for ufunc on Series.
        """
        result = lib.item_from_zerodim(result)
        if is_scalar(result):
            # e.g. we get here with np.ptp(series)
            # ptp also requires the item_from_zerodim
            return result
        d = self._construct_axes_dict(self._AXIS_ORDERS, copy=False)
        return self._constructor(result, **d).__finalize__(
            self, method="__array_wrap__"
        )

    # ideally we would define this to avoid the getattr checks, but
    # is slower
    # @property
    # def __array_interface__(self):
    #    """ provide numpy array interface method """
    #    values = self.values
    #    return dict(typestr=values.dtype.str,shape=values.shape,data=values)

    # ----------------------------------------------------------------------
    # Picklability

    def __getstate__(self) -> Dict[str, Any]:
        meta = {k: getattr(self, k, None) for k in self._metadata}
        return dict(
            _mgr=self._mgr,
            _typ=self._typ,
            _metadata=self._metadata,
            attrs=self.attrs,
            _flags={k: self.flags[k] for k in self.flags._keys},
            **meta,
        )

    def __setstate__(self, state):
        if isinstance(state, BlockManager):
            self._mgr = state
        elif isinstance(state, dict):
            if "_data" in state and "_mgr" not in state:
                # compat for older pickles
                state["_mgr"] = state.pop("_data")
            typ = state.get("_typ")
            if typ is not None:
                attrs = state.get("_attrs", {})
                object.__setattr__(self, "_attrs", attrs)
                flags = state.get("_flags", dict(allows_duplicate_labels=True))
                object.__setattr__(self, "_flags", Flags(self, **flags))

                # set in the order of internal names
                # to avoid definitional recursion
                # e.g. say fill_value needing _mgr to be
                # defined
                meta = set(self._internal_names + self._metadata)
                for k in list(meta):
                    if k in state and k != "_flags":
                        v = state[k]
                        object.__setattr__(self, k, v)

                for k, v in state.items():
                    if k not in meta:
                        object.__setattr__(self, k, v)

            else:
                raise NotImplementedError("Pre-0.12 pickles are no longer supported")
        elif len(state) == 2:
            raise NotImplementedError("Pre-0.12 pickles are no longer supported")

        self._item_cache = {}

    # ----------------------------------------------------------------------
    # Rendering Methods

    def __repr__(self) -> str:
        # string representation based upon iterating over self
        # (since, by definition, `PandasContainers` are iterable)
        prepr = f"[{','.join(map(pprint_thing, self))}]"
        return f"{type(self).__name__}({prepr})"

    def _repr_latex_(self):
        """
        Returns a LaTeX representation for a particular object.
        Mainly for use with nbconvert (jupyter notebook conversion to pdf).
        """
        if config.get_option("display.latex.repr"):
            return self.to_latex()
        else:
            return None

    def _repr_data_resource_(self):
        """
        Not a real Jupyter special repr method, but we use the same
        naming convention.
        """
        if config.get_option("display.html.table_schema"):
            data = self.head(config.get_option("display.max_rows"))
            payload = json.loads(
                data.to_json(orient="table"), object_pairs_hook=collections.OrderedDict
            )
            return payload

    # ----------------------------------------------------------------------
    # I/O Methods

    @doc(klass="object")
    def to_excel(
        self,
        excel_writer,
        sheet_name="Sheet1",
        na_rep="",
        float_format=None,
        columns=None,
        header=True,
        index=True,
        index_label=None,
        startrow=0,
        startcol=0,
        engine=None,
        merge_cells=True,
        encoding=None,
        inf_rep="inf",
        verbose=True,
        freeze_panes=None,
    ) -> None:
        """
        Write {klass} to an Excel sheet.

        To write a single {klass} to an Excel .xlsx file it is only necessary to
        specify a target file name. To write to multiple sheets it is necessary to
        create an `ExcelWriter` object with a target file name, and specify a sheet
        in the file to write to.

        Multiple sheets may be written to by specifying unique `sheet_name`.
        With all data written to the file it is necessary to save the changes.
        Note that creating an `ExcelWriter` object with a file name that already
        exists will result in the contents of the existing file being erased.

        Parameters
        ----------
        excel_writer : str or ExcelWriter object
            File path or existing ExcelWriter.
        sheet_name : str, default 'Sheet1'
            Name of sheet which will contain DataFrame.
        na_rep : str, default ''
            Missing data representation.
        float_format : str, optional
            Format string for floating point numbers. For example
            ``float_format="%.2f"`` will format 0.1234 to 0.12.
        columns : sequence or list of str, optional
            Columns to write.
        header : bool or list of str, default True
            Write out the column names. If a list of string is given it is
            assumed to be aliases for the column names.
        index : bool, default True
            Write row names (index).
        index_label : str or sequence, optional
            Column label for index column(s) if desired. If not specified, and
            `header` and `index` are True, then the index names are used. A
            sequence should be given if the DataFrame uses MultiIndex.
        startrow : int, default 0
            Upper left cell row to dump data frame.
        startcol : int, default 0
            Upper left cell column to dump data frame.
        engine : str, optional
            Write engine to use, 'openpyxl' or 'xlsxwriter'. You can also set this
            via the options ``io.excel.xlsx.writer``, ``io.excel.xls.writer``, and
            ``io.excel.xlsm.writer``.
        merge_cells : bool, default True
            Write MultiIndex and Hierarchical Rows as merged cells.
        encoding : str, optional
            Encoding of the resulting excel file. Only necessary for xlwt,
            other writers support unicode natively.
        inf_rep : str, default 'inf'
            Representation for infinity (there is no native representation for
            infinity in Excel).
        verbose : bool, default True
            Display more information in the error logs.
        freeze_panes : tuple of int (length 2), optional
            Specifies the one-based bottommost row and rightmost column that
            is to be frozen.

        See Also
        --------
        to_csv : Write DataFrame to a comma-separated values (csv) file.
        ExcelWriter : Class for writing DataFrame objects into excel sheets.
        read_excel : Read an Excel file into a pandas DataFrame.
        read_csv : Read a comma-separated values (csv) file into DataFrame.

        Notes
        -----
        For compatibility with :meth:`~DataFrame.to_csv`,
        to_excel serializes lists and dicts to strings before writing.

        Once a workbook has been saved it is not possible write further data
        without rewriting the whole workbook.

        Examples
        --------

        Create, write to and save a workbook:

        >>> df1 = pd.DataFrame([['a', 'b'], ['c', 'd']],
        ...                    index=['row 1', 'row 2'],
        ...                    columns=['col 1', 'col 2'])
        >>> df1.to_excel("output.xlsx")  # doctest: +SKIP

        To specify the sheet name:

        >>> df1.to_excel("output.xlsx",
        ...              sheet_name='Sheet_name_1')  # doctest: +SKIP

        If you wish to write to more than one sheet in the workbook, it is
        necessary to specify an ExcelWriter object:

        >>> df2 = df1.copy()
        >>> with pd.ExcelWriter('output.xlsx') as writer:  # doctest: +SKIP
        ...     df1.to_excel(writer, sheet_name='Sheet_name_1')
        ...     df2.to_excel(writer, sheet_name='Sheet_name_2')

        ExcelWriter can also be used to append to an existing Excel file:

        >>> with pd.ExcelWriter('output.xlsx',
        ...                     mode='a') as writer:  # doctest: +SKIP
        ...     df.to_excel(writer, sheet_name='Sheet_name_3')

        To set the library that is used to write the Excel file,
        you can pass the `engine` keyword (the default engine is
        automatically chosen depending on the file extension):

        >>> df1.to_excel('output1.xlsx', engine='xlsxwriter')  # doctest: +SKIP
        """

        df = self if isinstance(self, ABCDataFrame) else self.to_frame()

        from pandas.io.formats.excel import ExcelFormatter

        formatter = ExcelFormatter(
            df,
            na_rep=na_rep,
            cols=columns,
            header=header,
            float_format=float_format,
            index=index,
            index_label=index_label,
            merge_cells=merge_cells,
            inf_rep=inf_rep,
        )
        formatter.write(
            excel_writer,
            sheet_name=sheet_name,
            startrow=startrow,
            startcol=startcol,
            freeze_panes=freeze_panes,
            engine=engine,
        )

    def to_json(
        self,
        path_or_buf: Optional[FilePathOrBuffer] = None,
        orient: Optional[str] = None,
        date_format: Optional[str] = None,
        double_precision: int = 10,
        force_ascii: bool_t = True,
        date_unit: str = "ms",
        default_handler: Optional[Callable[[Any], JSONSerializable]] = None,
        lines: bool_t = False,
        compression: CompressionOptions = "infer",
        index: bool_t = True,
        indent: Optional[int] = None,
        storage_options: StorageOptions = None,
    ) -> Optional[str]:
        """
        Convert the object to a JSON string.

        Note NaN's and None will be converted to null and datetime objects
        will be converted to UNIX timestamps.

        Parameters
        ----------
        path_or_buf : str or file handle, optional
            File path or object. If not specified, the result is returned as
            a string.
        orient : str
            Indication of expected JSON string format.

            * Series:

                - default is 'index'
                - allowed values are: {'split','records','index','table'}.

            * DataFrame:

                - default is 'columns'
                - allowed values are: {'split', 'records', 'index', 'columns',
                  'values', 'table'}.

            * The format of the JSON string:

                - 'split' : dict like {'index' -> [index], 'columns' -> [columns],
                  'data' -> [values]}
                - 'records' : list like [{column -> value}, ... , {column -> value}]
                - 'index' : dict like {index -> {column -> value}}
                - 'columns' : dict like {column -> {index -> value}}
                - 'values' : just the values array
                - 'table' : dict like {'schema': {schema}, 'data': {data}}

                Describing the data, where data component is like ``orient='records'``.

        date_format : {None, 'epoch', 'iso'}
            Type of date conversion. 'epoch' = epoch milliseconds,
            'iso' = ISO8601. The default depends on the `orient`. For
            ``orient='table'``, the default is 'iso'. For all other orients,
            the default is 'epoch'.
        double_precision : int, default 10
            The number of decimal places to use when encoding
            floating point values.
        force_ascii : bool, default True
            Force encoded string to be ASCII.
        date_unit : str, default 'ms' (milliseconds)
            The time unit to encode to, governs timestamp and ISO8601
            precision.  One of 's', 'ms', 'us', 'ns' for second, millisecond,
            microsecond, and nanosecond respectively.
        default_handler : callable, default None
            Handler to call if object cannot otherwise be converted to a
            suitable format for JSON. Should receive a single argument which is
            the object to convert and return a serialisable object.
        lines : bool, default False
            If 'orient' is 'records' write out line delimited json format. Will
            throw ValueError if incorrect 'orient' since others are not list
            like.

        compression : {'infer', 'gzip', 'bz2', 'zip', 'xz', None}

            A string representing the compression to use in the output file,
            only used when the first argument is a filename. By default, the
            compression is inferred from the filename.

            .. versionchanged:: 0.24.0
               'infer' option added and set to default
        index : bool, default True
            Whether to include the index values in the JSON string. Not
            including the index (``index=False``) is only supported when
            orient is 'split' or 'table'.
        indent : int, optional
           Length of whitespace used to indent each record.

           .. versionadded:: 1.0.0

        storage_options : dict, optional
            Extra options that make sense for a particular storage connection, e.g.
            host, port, username, password, etc., if using a URL that will
            be parsed by ``fsspec``, e.g., starting "s3://", "gcs://". An error
            will be raised if providing this argument with a local path or
            a file-like buffer. See the fsspec and backend storage implementation
            docs for the set of allowed keys and values

            .. versionadded:: 1.2.0

        Returns
        -------
        None or str
            If path_or_buf is None, returns the resulting json format as a
            string. Otherwise returns None.

        See Also
        --------
        read_json : Convert a JSON string to pandas object.

        Notes
        -----
        The behavior of ``indent=0`` varies from the stdlib, which does not
        indent the output but does insert newlines. Currently, ``indent=0``
        and the default ``indent=None`` are equivalent in pandas, though this
        may change in a future release.

        Examples
        --------
        >>> import json
        >>> df = pd.DataFrame(
        ...     [["a", "b"], ["c", "d"]],
        ...     index=["row 1", "row 2"],
        ...     columns=["col 1", "col 2"],
        ... )

        >>> result = df.to_json(orient="split")
        >>> parsed = json.loads(result)
        >>> json.dumps(parsed, indent=4)  # doctest: +SKIP
        {
            "columns": [
                "col 1",
                "col 2"
            ],
            "index": [
                "row 1",
                "row 2"
            ],
            "data": [
                [
                    "a",
                    "b"
                ],
                [
                    "c",
                    "d"
                ]
            ]
        }

        Encoding/decoding a Dataframe using ``'records'`` formatted JSON.
        Note that index labels are not preserved with this encoding.

        >>> result = df.to_json(orient="records")
        >>> parsed = json.loads(result)
        >>> json.dumps(parsed, indent=4)  # doctest: +SKIP
        [
            {
                "col 1": "a",
                "col 2": "b"
            },
            {
                "col 1": "c",
                "col 2": "d"
            }
        ]

        Encoding/decoding a Dataframe using ``'index'`` formatted JSON:

        >>> result = df.to_json(orient="index")
        >>> parsed = json.loads(result)
        >>> json.dumps(parsed, indent=4)  # doctest: +SKIP
        {
            "row 1": {
                "col 1": "a",
                "col 2": "b"
            },
            "row 2": {
                "col 1": "c",
                "col 2": "d"
            }
        }

        Encoding/decoding a Dataframe using ``'columns'`` formatted JSON:

        >>> result = df.to_json(orient="columns")
        >>> parsed = json.loads(result)
        >>> json.dumps(parsed, indent=4)  # doctest: +SKIP
        {
            "col 1": {
                "row 1": "a",
                "row 2": "c"
            },
            "col 2": {
                "row 1": "b",
                "row 2": "d"
            }
        }

        Encoding/decoding a Dataframe using ``'values'`` formatted JSON:

        >>> result = df.to_json(orient="values")
        >>> parsed = json.loads(result)
        >>> json.dumps(parsed, indent=4)  # doctest: +SKIP
        [
            [
                "a",
                "b"
            ],
            [
                "c",
                "d"
            ]
        ]

        Encoding with Table Schema:

        >>> result = df.to_json(orient="table")
        >>> parsed = json.loads(result)
        >>> json.dumps(parsed, indent=4)  # doctest: +SKIP
        {
            "schema": {
                "fields": [
                    {
                        "name": "index",
                        "type": "string"
                    },
                    {
                        "name": "col 1",
                        "type": "string"
                    },
                    {
                        "name": "col 2",
                        "type": "string"
                    }
                ],
                "primaryKey": [
                    "index"
                ],
                "pandas_version": "0.20.0"
            },
            "data": [
                {
                    "index": "row 1",
                    "col 1": "a",
                    "col 2": "b"
                },
                {
                    "index": "row 2",
                    "col 1": "c",
                    "col 2": "d"
                }
            ]
        }
        """
        from pandas.io import json

        if date_format is None and orient == "table":
            date_format = "iso"
        elif date_format is None:
            date_format = "epoch"

        config.is_nonnegative_int(indent)
        indent = indent or 0

        return json.to_json(
            path_or_buf=path_or_buf,
            obj=self,
            orient=orient,
            date_format=date_format,
            double_precision=double_precision,
            force_ascii=force_ascii,
            date_unit=date_unit,
            default_handler=default_handler,
            lines=lines,
            compression=compression,
            index=index,
            indent=indent,
            storage_options=storage_options,
        )

    def to_hdf(
        self,
        path_or_buf,
        key: str,
        mode: str = "a",
        complevel: Optional[int] = None,
        complib: Optional[str] = None,
        append: bool_t = False,
        format: Optional[str] = None,
        index: bool_t = True,
        min_itemsize: Optional[Union[int, Dict[str, int]]] = None,
        nan_rep=None,
        dropna: Optional[bool_t] = None,
        data_columns: Optional[Union[bool_t, List[str]]] = None,
        errors: str = "strict",
        encoding: str = "UTF-8",
    ) -> None:
        """
        Write the contained data to an HDF5 file using HDFStore.

        Hierarchical Data Format (HDF) is self-describing, allowing an
        application to interpret the structure and contents of a file with
        no outside information. One HDF file can hold a mix of related objects
        which can be accessed as a group or as individual objects.

        In order to add another DataFrame or Series to an existing HDF file
        please use append mode and a different a key.

        For more information see the :ref:`user guide <io.hdf5>`.

        Parameters
        ----------
        path_or_buf : str or pandas.HDFStore
            File path or HDFStore object.
        key : str
            Identifier for the group in the store.
        mode : {'a', 'w', 'r+'}, default 'a'
            Mode to open file:

            - 'w': write, a new file is created (an existing file with
              the same name would be deleted).
            - 'a': append, an existing file is opened for reading and
              writing, and if the file does not exist it is created.
            - 'r+': similar to 'a', but the file must already exist.
        complevel : {0-9}, optional
            Specifies a compression level for data.
            A value of 0 disables compression.
        complib : {'zlib', 'lzo', 'bzip2', 'blosc'}, default 'zlib'
            Specifies the compression library to be used.
            As of v0.20.2 these additional compressors for Blosc are supported
            (default if no compressor specified: 'blosc:blosclz'):
            {'blosc:blosclz', 'blosc:lz4', 'blosc:lz4hc', 'blosc:snappy',
            'blosc:zlib', 'blosc:zstd'}.
            Specifying a compression library which is not available issues
            a ValueError.
        append : bool, default False
            For Table formats, append the input data to the existing.
        format : {'fixed', 'table', None}, default 'fixed'
            Possible values:

            - 'fixed': Fixed format. Fast writing/reading. Not-appendable,
              nor searchable.
            - 'table': Table format. Write as a PyTables Table structure
              which may perform worse but allow more flexible operations
              like searching / selecting subsets of the data.
            - If None, pd.get_option('io.hdf.default_format') is checked,
              followed by fallback to "fixed"
        errors : str, default 'strict'
            Specifies how encoding and decoding errors are to be handled.
            See the errors argument for :func:`open` for a full list
            of options.
        encoding : str, default "UTF-8"
        min_itemsize : dict or int, optional
            Map column names to minimum string sizes for columns.
        nan_rep : Any, optional
            How to represent null values as str.
            Not allowed with append=True.
        data_columns : list of columns or True, optional
            List of columns to create as indexed data columns for on-disk
            queries, or True to use all columns. By default only the axes
            of the object are indexed. See :ref:`io.hdf5-query-data-columns`.
            Applicable only to format='table'.

        See Also
        --------
        DataFrame.read_hdf : Read from HDF file.
        DataFrame.to_parquet : Write a DataFrame to the binary parquet format.
        DataFrame.to_sql : Write to a sql table.
        DataFrame.to_feather : Write out feather-format for DataFrames.
        DataFrame.to_csv : Write out to a csv file.

        Examples
        --------
        >>> df = pd.DataFrame({'A': [1, 2, 3], 'B': [4, 5, 6]},
        ...                   index=['a', 'b', 'c'])
        >>> df.to_hdf('data.h5', key='df', mode='w')

        We can add another object to the same file:

        >>> s = pd.Series([1, 2, 3, 4])
        >>> s.to_hdf('data.h5', key='s')

        Reading from HDF file:

        >>> pd.read_hdf('data.h5', 'df')
        A  B
        a  1  4
        b  2  5
        c  3  6
        >>> pd.read_hdf('data.h5', 's')
        0    1
        1    2
        2    3
        3    4
        dtype: int64

        Deleting file with data:

        >>> import os
        >>> os.remove('data.h5')
        """
        from pandas.io import pytables

        pytables.to_hdf(
            path_or_buf,
            key,
            self,
            mode=mode,
            complevel=complevel,
            complib=complib,
            append=append,
            format=format,
            index=index,
            min_itemsize=min_itemsize,
            nan_rep=nan_rep,
            dropna=dropna,
            data_columns=data_columns,
            errors=errors,
            encoding=encoding,
        )

    def to_sql(
        self,
        name: str,
        con,
        schema=None,
        if_exists: str = "fail",
        index: bool_t = True,
        index_label=None,
        chunksize=None,
        dtype=None,
        method=None,
    ) -> None:
        """
        Write records stored in a DataFrame to a SQL database.

        Databases supported by SQLAlchemy [1]_ are supported. Tables can be
        newly created, appended to, or overwritten.

        Parameters
        ----------
        name : str
            Name of SQL table.
        con : sqlalchemy.engine.(Engine or Connection) or sqlite3.Connection
            Using SQLAlchemy makes it possible to use any DB supported by that
            library. Legacy support is provided for sqlite3.Connection objects. The user
            is responsible for engine disposal and connection closure for the SQLAlchemy
            connectable See `here \
                <https://docs.sqlalchemy.org/en/13/core/connections.html>`_.

        schema : str, optional
            Specify the schema (if database flavor supports this). If None, use
            default schema.
        if_exists : {'fail', 'replace', 'append'}, default 'fail'
            How to behave if the table already exists.

            * fail: Raise a ValueError.
            * replace: Drop the table before inserting new values.
            * append: Insert new values to the existing table.

        index : bool, default True
            Write DataFrame index as a column. Uses `index_label` as the column
            name in the table.
        index_label : str or sequence, default None
            Column label for index column(s). If None is given (default) and
            `index` is True, then the index names are used.
            A sequence should be given if the DataFrame uses MultiIndex.
        chunksize : int, optional
            Specify the number of rows in each batch to be written at a time.
            By default, all rows will be written at once.
        dtype : dict or scalar, optional
            Specifying the datatype for columns. If a dictionary is used, the
            keys should be the column names and the values should be the
            SQLAlchemy types or strings for the sqlite3 legacy mode. If a
            scalar is provided, it will be applied to all columns.
        method : {None, 'multi', callable}, optional
            Controls the SQL insertion clause used:

            * None : Uses standard SQL ``INSERT`` clause (one per row).
            * 'multi': Pass multiple values in a single ``INSERT`` clause.
            * callable with signature ``(pd_table, conn, keys, data_iter)``.

            Details and a sample callable implementation can be found in the
            section :ref:`insert method <io.sql.method>`.

            .. versionadded:: 0.24.0

        Raises
        ------
        ValueError
            When the table already exists and `if_exists` is 'fail' (the
            default).

        See Also
        --------
        read_sql : Read a DataFrame from a table.

        Notes
        -----
        Timezone aware datetime columns will be written as
        ``Timestamp with timezone`` type with SQLAlchemy if supported by the
        database. Otherwise, the datetimes will be stored as timezone unaware
        timestamps local to the original timezone.

        .. versionadded:: 0.24.0

        References
        ----------
        .. [1] https://docs.sqlalchemy.org
        .. [2] https://www.python.org/dev/peps/pep-0249/

        Examples
        --------
        Create an in-memory SQLite database.

        >>> from sqlalchemy import create_engine
        >>> engine = create_engine('sqlite://', echo=False)

        Create a table from scratch with 3 rows.

        >>> df = pd.DataFrame({'name' : ['User 1', 'User 2', 'User 3']})
        >>> df
             name
        0  User 1
        1  User 2
        2  User 3

        >>> df.to_sql('users', con=engine)
        >>> engine.execute("SELECT * FROM users").fetchall()
        [(0, 'User 1'), (1, 'User 2'), (2, 'User 3')]

        An `sqlalchemy.engine.Connection` can also be passed to to `con`:
        >>> with engine.begin() as connection:
        ...     df1 = pd.DataFrame({'name' : ['User 4', 'User 5']})
        ...     df1.to_sql('users', con=connection, if_exists='append')

        This is allowed to support operations that require that the same
        DBAPI connection is used for the entire operation.

        >>> df2 = pd.DataFrame({'name' : ['User 6', 'User 7']})
        >>> df2.to_sql('users', con=engine, if_exists='append')
        >>> engine.execute("SELECT * FROM users").fetchall()
        [(0, 'User 1'), (1, 'User 2'), (2, 'User 3'),
         (0, 'User 4'), (1, 'User 5'), (0, 'User 6'),
         (1, 'User 7')]

        Overwrite the table with just ``df2``.

        >>> df2.to_sql('users', con=engine, if_exists='replace',
        ...            index_label='id')
        >>> engine.execute("SELECT * FROM users").fetchall()
        [(0, 'User 6'), (1, 'User 7')]

        Specify the dtype (especially useful for integers with missing values).
        Notice that while pandas is forced to store the data as floating point,
        the database supports nullable integers. When fetching the data with
        Python, we get back integer scalars.

        >>> df = pd.DataFrame({"A": [1, None, 2]})
        >>> df
             A
        0  1.0
        1  NaN
        2  2.0

        >>> from sqlalchemy.types import Integer
        >>> df.to_sql('integers', con=engine, index=False,
        ...           dtype={"A": Integer()})

        >>> engine.execute("SELECT * FROM integers").fetchall()
        [(1,), (None,), (2,)]
        """
        from pandas.io import sql

        sql.to_sql(
            self,
            name,
            con,
            schema=schema,
            if_exists=if_exists,
            index=index,
            index_label=index_label,
            chunksize=chunksize,
            dtype=dtype,
            method=method,
        )

    def to_pickle(
        self,
        path,
        compression: CompressionOptions = "infer",
        protocol: int = pickle.HIGHEST_PROTOCOL,
        storage_options: StorageOptions = None,
    ) -> None:
        """
        Pickle (serialize) object to file.

        Parameters
        ----------
        path : str
            File path where the pickled object will be stored.
        compression : {'infer', 'gzip', 'bz2', 'zip', 'xz', None}, \
        default 'infer'
            A string representing the compression to use in the output file. By
            default, infers from the file extension in specified path.
        protocol : int
            Int which indicates which protocol should be used by the pickler,
            default HIGHEST_PROTOCOL (see [1]_ paragraph 12.1.2). The possible
            values are 0, 1, 2, 3, 4. A negative value for the protocol
            parameter is equivalent to setting its value to HIGHEST_PROTOCOL.

            .. [1] https://docs.python.org/3/library/pickle.html.

        storage_options : dict, optional
            Extra options that make sense for a particular storage connection, e.g.
            host, port, username, password, etc., if using a URL that will
            be parsed by ``fsspec``, e.g., starting "s3://", "gcs://". An error
            will be raised if providing this argument with a local path or
            a file-like buffer. See the fsspec and backend storage implementation
            docs for the set of allowed keys and values

            .. versionadded:: 1.2.0

        See Also
        --------
        read_pickle : Load pickled pandas object (or any object) from file.
        DataFrame.to_hdf : Write DataFrame to an HDF5 file.
        DataFrame.to_sql : Write DataFrame to a SQL database.
        DataFrame.to_parquet : Write a DataFrame to the binary parquet format.

        Examples
        --------
        >>> original_df = pd.DataFrame({"foo": range(5), "bar": range(5, 10)})
        >>> original_df
           foo  bar
        0    0    5
        1    1    6
        2    2    7
        3    3    8
        4    4    9
        >>> original_df.to_pickle("./dummy.pkl")

        >>> unpickled_df = pd.read_pickle("./dummy.pkl")
        >>> unpickled_df
           foo  bar
        0    0    5
        1    1    6
        2    2    7
        3    3    8
        4    4    9

        >>> import os
        >>> os.remove("./dummy.pkl")
        """
        from pandas.io.pickle import to_pickle

        to_pickle(
            self,
            path,
            compression=compression,
            protocol=protocol,
            storage_options=storage_options,
        )

    def to_clipboard(
        self, excel: bool_t = True, sep: Optional[str] = None, **kwargs
    ) -> None:
        r"""
        Copy object to the system clipboard.

        Write a text representation of object to the system clipboard.
        This can be pasted into Excel, for example.

        Parameters
        ----------
        excel : bool, default True
            Produce output in a csv format for easy pasting into excel.

            - True, use the provided separator for csv pasting.
            - False, write a string representation of the object to the clipboard.

        sep : str, default ``'\t'``
            Field delimiter.
        **kwargs
            These parameters will be passed to DataFrame.to_csv.

        See Also
        --------
        DataFrame.to_csv : Write a DataFrame to a comma-separated values
            (csv) file.
        read_clipboard : Read text from clipboard and pass to read_table.

        Notes
        -----
        Requirements for your platform.

          - Linux : `xclip`, or `xsel` (with `PyQt4` modules)
          - Windows : none
          - OS X : none

        Examples
        --------
        Copy the contents of a DataFrame to the clipboard.

        >>> df = pd.DataFrame([[1, 2, 3], [4, 5, 6]], columns=['A', 'B', 'C'])

        >>> df.to_clipboard(sep=',')  # doctest: +SKIP
        ... # Wrote the following to the system clipboard:
        ... # ,A,B,C
        ... # 0,1,2,3
        ... # 1,4,5,6

        We can omit the index by passing the keyword `index` and setting
        it to false.

        >>> df.to_clipboard(sep=',', index=False)  # doctest: +SKIP
        ... # Wrote the following to the system clipboard:
        ... # A,B,C
        ... # 1,2,3
        ... # 4,5,6
        """
        from pandas.io import clipboards

        clipboards.to_clipboard(self, excel=excel, sep=sep, **kwargs)

    def to_xarray(self):
        """
        Return an xarray object from the pandas object.

        Returns
        -------
        xarray.DataArray or xarray.Dataset
            Data in the pandas structure converted to Dataset if the object is
            a DataFrame, or a DataArray if the object is a Series.

        See Also
        --------
        DataFrame.to_hdf : Write DataFrame to an HDF5 file.
        DataFrame.to_parquet : Write a DataFrame to the binary parquet format.

        Notes
        -----
        See the `xarray docs <https://xarray.pydata.org/en/stable/>`__

        Examples
        --------
        >>> df = pd.DataFrame([('falcon', 'bird', 389.0, 2),
        ...                    ('parrot', 'bird', 24.0, 2),
        ...                    ('lion', 'mammal', 80.5, 4),
        ...                    ('monkey', 'mammal', np.nan, 4)],
        ...                   columns=['name', 'class', 'max_speed',
        ...                            'num_legs'])
        >>> df
             name   class  max_speed  num_legs
        0  falcon    bird      389.0         2
        1  parrot    bird       24.0         2
        2    lion  mammal       80.5         4
        3  monkey  mammal        NaN         4

        >>> df.to_xarray()
        <xarray.Dataset>
        Dimensions:    (index: 4)
        Coordinates:
          * index      (index) int64 0 1 2 3
        Data variables:
            name       (index) object 'falcon' 'parrot' 'lion' 'monkey'
            class      (index) object 'bird' 'bird' 'mammal' 'mammal'
            max_speed  (index) float64 389.0 24.0 80.5 nan
            num_legs   (index) int64 2 2 4 4

        >>> df['max_speed'].to_xarray()
        <xarray.DataArray 'max_speed' (index: 4)>
        array([389. ,  24. ,  80.5,   nan])
        Coordinates:
          * index    (index) int64 0 1 2 3

        >>> dates = pd.to_datetime(['2018-01-01', '2018-01-01',
        ...                         '2018-01-02', '2018-01-02'])
        >>> df_multiindex = pd.DataFrame({'date': dates,
        ...                               'animal': ['falcon', 'parrot',
        ...                                          'falcon', 'parrot'],
        ...                               'speed': [350, 18, 361, 15]})
        >>> df_multiindex = df_multiindex.set_index(['date', 'animal'])

        >>> df_multiindex
                           speed
        date       animal
        2018-01-01 falcon    350
                   parrot     18
        2018-01-02 falcon    361
                   parrot     15

        >>> df_multiindex.to_xarray()
        <xarray.Dataset>
        Dimensions:  (animal: 2, date: 2)
        Coordinates:
          * date     (date) datetime64[ns] 2018-01-01 2018-01-02
          * animal   (animal) object 'falcon' 'parrot'
        Data variables:
            speed    (date, animal) int64 350 18 361 15
        """
        xarray = import_optional_dependency("xarray")

        if self.ndim == 1:
            return xarray.DataArray.from_series(self)
        else:
            return xarray.Dataset.from_dataframe(self)

    @doc(returns=fmt.return_docstring)
    def to_latex(
        self,
        buf=None,
        columns=None,
        col_space=None,
        header=True,
        index=True,
        na_rep="NaN",
        formatters=None,
        float_format=None,
        sparsify=None,
        index_names=True,
        bold_rows=False,
        column_format=None,
        longtable=None,
        escape=None,
        encoding=None,
        decimal=".",
        multicolumn=None,
        multicolumn_format=None,
        multirow=None,
        caption=None,
        label=None,
        position=None,
    ):
        r"""
        Render object to a LaTeX tabular, longtable, or nested table/tabular.

        Requires ``\usepackage{{booktabs}}``.  The output can be copy/pasted
        into a main LaTeX document or read from an external file
        with ``\input{{table.tex}}``.

        .. versionchanged:: 1.0.0
           Added caption and label arguments.

        Parameters
        ----------
        buf : str, Path or StringIO-like, optional, default None
            Buffer to write to. If None, the output is returned as a string.
        columns : list of label, optional
            The subset of columns to write. Writes all columns by default.
        col_space : int, optional
            The minimum width of each column.
        header : bool or list of str, default True
            Write out the column names. If a list of strings is given,
            it is assumed to be aliases for the column names.
        index : bool, default True
            Write row names (index).
        na_rep : str, default 'NaN'
            Missing data representation.
        formatters : list of functions or dict of {{str: function}}, optional
            Formatter functions to apply to columns' elements by position or
            name. The result of each function must be a unicode string.
            List must be of length equal to the number of columns.
        float_format : one-parameter function or str, optional, default None
            Formatter for floating point numbers. For example
            ``float_format="%.2f"`` and ``float_format="{{:0.2f}}".format`` will
            both result in 0.1234 being formatted as 0.12.
        sparsify : bool, optional
            Set to False for a DataFrame with a hierarchical index to print
            every multiindex key at each row. By default, the value will be
            read from the config module.
        index_names : bool, default True
            Prints the names of the indexes.
        bold_rows : bool, default False
            Make the row labels bold in the output.
        column_format : str, optional
            The columns format as specified in `LaTeX table format
            <https://en.wikibooks.org/wiki/LaTeX/Tables>`__ e.g. 'rcl' for 3
            columns. By default, 'l' will be used for all columns except
            columns of numbers, which default to 'r'.
        longtable : bool, optional
            By default, the value will be read from the pandas config
            module. Use a longtable environment instead of tabular. Requires
            adding a \usepackage{{longtable}} to your LaTeX preamble.
        escape : bool, optional
            By default, the value will be read from the pandas config
            module. When set to False prevents from escaping latex special
            characters in column names.
        encoding : str, optional
            A string representing the encoding to use in the output file,
            defaults to 'utf-8'.
        decimal : str, default '.'
            Character recognized as decimal separator, e.g. ',' in Europe.
        multicolumn : bool, default True
            Use \multicolumn to enhance MultiIndex columns.
            The default will be read from the config module.
        multicolumn_format : str, default 'l'
            The alignment for multicolumns, similar to `column_format`
            The default will be read from the config module.
        multirow : bool, default False
            Use \multirow to enhance MultiIndex rows. Requires adding a
            \usepackage{{multirow}} to your LaTeX preamble. Will print
            centered labels (instead of top-aligned) across the contained
            rows, separating groups via clines. The default will be read
            from the pandas config module.
        caption : str, optional
            The LaTeX caption to be placed inside ``\caption{{}}`` in the output.

            .. versionadded:: 1.0.0

        label : str, optional
            The LaTeX label to be placed inside ``\label{{}}`` in the output.
            This is used with ``\ref{{}}`` in the main ``.tex`` file.

            .. versionadded:: 1.0.0
        position : str, optional
            The LaTeX positional argument for tables, to be placed after
            ``\begin{{}}`` in the output.
        {returns}
        See Also
        --------
        DataFrame.to_string : Render a DataFrame to a console-friendly
            tabular output.
        DataFrame.to_html : Render a DataFrame as an HTML table.

        Examples
        --------
        >>> df = pd.DataFrame(dict(name=['Raphael', 'Donatello'],
        ...                    mask=['red', 'purple'],
        ...                    weapon=['sai', 'bo staff']))
        >>> print(df.to_latex(index=False))  # doctest: +NORMALIZE_WHITESPACE
        \begin{{tabular}}{{lll}}
         \toprule
               name &    mask &    weapon \\
         \midrule
            Raphael &     red &       sai \\
          Donatello &  purple &  bo staff \\
        \bottomrule
        \end{{tabular}}
        """
        # Get defaults from the pandas config
        if self.ndim == 1:
            self = self.to_frame()
        if longtable is None:
            longtable = config.get_option("display.latex.longtable")
        if escape is None:
            escape = config.get_option("display.latex.escape")
        if multicolumn is None:
            multicolumn = config.get_option("display.latex.multicolumn")
        if multicolumn_format is None:
            multicolumn_format = config.get_option("display.latex.multicolumn_format")
        if multirow is None:
            multirow = config.get_option("display.latex.multirow")

        formatter = DataFrameFormatter(
            self,
            columns=columns,
            col_space=col_space,
            na_rep=na_rep,
            header=header,
            index=index,
            formatters=formatters,
            float_format=float_format,
            bold_rows=bold_rows,
            sparsify=sparsify,
            index_names=index_names,
            escape=escape,
            decimal=decimal,
        )
        return formatter.to_latex(
            buf=buf,
            column_format=column_format,
            longtable=longtable,
            encoding=encoding,
            multicolumn=multicolumn,
            multicolumn_format=multicolumn_format,
            multirow=multirow,
            caption=caption,
            label=label,
            position=position,
        )

    def to_csv(
        self,
        path_or_buf: Optional[FilePathOrBuffer] = None,
        sep: str = ",",
        na_rep: str = "",
        float_format: Optional[str] = None,
        columns: Optional[Sequence[Label]] = None,
        header: Union[bool_t, List[str]] = True,
        index: bool_t = True,
        index_label: Optional[IndexLabel] = None,
        mode: str = "w",
        encoding: Optional[str] = None,
        compression: CompressionOptions = "infer",
        quoting: Optional[int] = None,
        quotechar: str = '"',
        line_terminator: Optional[str] = None,
        chunksize: Optional[int] = None,
        date_format: Optional[str] = None,
        doublequote: bool_t = True,
        escapechar: Optional[str] = None,
        decimal: Optional[str] = ".",
        errors: str = "strict",
        storage_options: StorageOptions = None,
    ) -> Optional[str]:
        r"""
        Write object to a comma-separated values (csv) file.

        .. versionchanged:: 0.24.0
            The order of arguments for Series was changed.

        Parameters
        ----------
        path_or_buf : str or file handle, default None
            File path or object, if None is provided the result is returned as
            a string.  If a non-binary file object is passed, it should be opened
            with `newline=''`, disabling universal newlines. If a binary
            file object is passed, `mode` needs to contain a `'b'`.

            .. versionchanged:: 0.24.0

               Was previously named "path" for Series.

            .. versionchanged:: 1.2.0

               Support for binary file objects was introduced.

        sep : str, default ','
            String of length 1. Field delimiter for the output file.
        na_rep : str, default ''
            Missing data representation.
        float_format : str, default None
            Format string for floating point numbers.
        columns : sequence, optional
            Columns to write.
        header : bool or list of str, default True
            Write out the column names. If a list of strings is given it is
            assumed to be aliases for the column names.

            .. versionchanged:: 0.24.0

               Previously defaulted to False for Series.

        index : bool, default True
            Write row names (index).
        index_label : str or sequence, or False, default None
            Column label for index column(s) if desired. If None is given, and
            `header` and `index` are True, then the index names are used. A
            sequence should be given if the object uses MultiIndex. If
            False do not print fields for index names. Use index_label=False
            for easier importing in R.
        mode : str
            Python write mode, default 'w'.
        encoding : str, optional
            A string representing the encoding to use in the output file,
            defaults to 'utf-8'. `encoding` is not supported if `path_or_buf`
            is a non-binary file object.
        compression : str or dict, default 'infer'
            If str, represents compression mode. If dict, value at 'method' is
            the compression mode. Compression mode may be any of the following
            possible values: {'infer', 'gzip', 'bz2', 'zip', 'xz', None}. If
            compression mode is 'infer' and `path_or_buf` is path-like, then
            detect compression mode from the following extensions: '.gz',
            '.bz2', '.zip' or '.xz'. (otherwise no compression). If dict given
            and mode is one of {'zip', 'gzip', 'bz2'}, or inferred as
            one of the above, other entries passed as
            additional compression options.

            .. versionchanged:: 1.0.0

               May now be a dict with key 'method' as compression mode
               and other entries as additional compression options if
               compression mode is 'zip'.

            .. versionchanged:: 1.1.0

               Passing compression options as keys in dict is
               supported for compression modes 'gzip' and 'bz2'
               as well as 'zip'.

            .. versionchanged:: 1.2.0

                Compression is supported for binary file objects.

            .. versionchanged:: 1.2.0

                Previous versions forwarded dict entries for 'gzip' to
                `gzip.open` instead of `gzip.GzipFile` which prevented
                setting `mtime`.

        quoting : optional constant from csv module
            Defaults to csv.QUOTE_MINIMAL. If you have set a `float_format`
            then floats are converted to strings and thus csv.QUOTE_NONNUMERIC
            will treat them as non-numeric.
        quotechar : str, default '\"'
            String of length 1. Character used to quote fields.
        line_terminator : str, optional
            The newline character or character sequence to use in the output
            file. Defaults to `os.linesep`, which depends on the OS in which
            this method is called ('\n' for linux, '\r\n' for Windows, i.e.).

            .. versionchanged:: 0.24.0
        chunksize : int or None
            Rows to write at a time.
        date_format : str, default None
            Format string for datetime objects.
        doublequote : bool, default True
            Control quoting of `quotechar` inside a field.
        escapechar : str, default None
            String of length 1. Character used to escape `sep` and `quotechar`
            when appropriate.
        decimal : str, default '.'
            Character recognized as decimal separator. E.g. use ',' for
            European data.
        errors : str, default 'strict'
            Specifies how encoding and decoding errors are to be handled.
            See the errors argument for :func:`open` for a full list
            of options.

            .. versionadded:: 1.1.0

        storage_options : dict, optional
            Extra options that make sense for a particular storage connection, e.g.
            host, port, username, password, etc., if using a URL that will
            be parsed by ``fsspec``, e.g., starting "s3://", "gcs://". An error
            will be raised if providing this argument with a local path or
            a file-like buffer. See the fsspec and backend storage implementation
            docs for the set of allowed keys and values

            .. versionadded:: 1.2.0

        Returns
        -------
        None or str
            If path_or_buf is None, returns the resulting csv format as a
            string. Otherwise returns None.

        See Also
        --------
        read_csv : Load a CSV file into a DataFrame.
        to_excel : Write DataFrame to an Excel file.

        Examples
        --------
        >>> df = pd.DataFrame({'name': ['Raphael', 'Donatello'],
        ...                    'mask': ['red', 'purple'],
        ...                    'weapon': ['sai', 'bo staff']})
        >>> df.to_csv(index=False)
        'name,mask,weapon\nRaphael,red,sai\nDonatello,purple,bo staff\n'

        Create 'out.zip' containing 'out.csv'

        >>> compression_opts = dict(method='zip',
        ...                         archive_name='out.csv')  # doctest: +SKIP
        >>> df.to_csv('out.zip', index=False,
        ...           compression=compression_opts)  # doctest: +SKIP
        """
        df = self if isinstance(self, ABCDataFrame) else self.to_frame()

        from pandas.io.formats.csvs import CSVFormatter

        formatter = CSVFormatter(
            df,
            path_or_buf,
            line_terminator=line_terminator,
            sep=sep,
            encoding=encoding,
            errors=errors,
            compression=compression,
            quoting=quoting,
            na_rep=na_rep,
            float_format=float_format,
            cols=columns,
            header=header,
            index=index,
            index_label=index_label,
            mode=mode,
            chunksize=chunksize,
            quotechar=quotechar,
            date_format=date_format,
            doublequote=doublequote,
            escapechar=escapechar,
            decimal=decimal,
            storage_options=storage_options,
        )
        formatter.save()

        if path_or_buf is None:
            assert isinstance(formatter.path_or_buf, StringIO)
            return formatter.path_or_buf.getvalue()

        return None

    # ----------------------------------------------------------------------
    # Lookup Caching

    def _set_as_cached(self, item, cacher) -> None:
        """
        Set the _cacher attribute on the calling object with a weakref to
        cacher.
        """
        self._cacher = (item, weakref.ref(cacher))

    def _reset_cacher(self) -> None:
        """
        Reset the cacher.
        """
        if hasattr(self, "_cacher"):
            del self._cacher

    def _maybe_cache_changed(self, item, value) -> None:
        """
        The object has called back to us saying maybe it has changed.
        """
        loc = self._info_axis.get_loc(item)
        self._mgr.iset(loc, value)

    @property
    def _is_cached(self) -> bool_t:
        """Return boolean indicating if self is cached or not."""
        return getattr(self, "_cacher", None) is not None

    def _get_cacher(self):
        """return my cacher or None"""
        cacher = getattr(self, "_cacher", None)
        if cacher is not None:
            cacher = cacher[1]()
        return cacher

    def _maybe_update_cacher(
        self, clear: bool_t = False, verify_is_copy: bool_t = True
    ) -> None:
        """
        See if we need to update our parent cacher if clear, then clear our
        cache.

        Parameters
        ----------
        clear : bool, default False
            Clear the item cache.
        verify_is_copy : bool, default True
            Provide is_copy checks.
        """
        cacher = getattr(self, "_cacher", None)
        if cacher is not None:
            ref = cacher[1]()

            # we are trying to reference a dead referent, hence
            # a copy
            if ref is None:
                del self._cacher
            else:
                if len(self) == len(ref):
                    # otherwise, either self or ref has swapped in new arrays
                    ref._maybe_cache_changed(cacher[0], self)
                else:
                    # GH#33675 we have swapped in a new array, so parent
                    #  reference to self is now invalid
                    ref._item_cache.pop(cacher[0], None)

        if verify_is_copy:
            self._check_setitem_copy(stacklevel=5, t="referent")

        if clear:
            self._clear_item_cache()

    def _clear_item_cache(self) -> None:
        self._item_cache.clear()

    # ----------------------------------------------------------------------
    # Indexing Methods

    def take(
        self: FrameOrSeries, indices, axis=0, is_copy: Optional[bool_t] = None, **kwargs
    ) -> FrameOrSeries:
        """
        Return the elements in the given *positional* indices along an axis.

        This means that we are not indexing according to actual values in
        the index attribute of the object. We are indexing according to the
        actual position of the element in the object.

        Parameters
        ----------
        indices : array-like
            An array of ints indicating which positions to take.
        axis : {0 or 'index', 1 or 'columns', None}, default 0
            The axis on which to select elements. ``0`` means that we are
            selecting rows, ``1`` means that we are selecting columns.
        is_copy : bool
            Before pandas 1.0, ``is_copy=False`` can be specified to ensure
            that the return value is an actual copy. Starting with pandas 1.0,
            ``take`` always returns a copy, and the keyword is therefore
            deprecated.

            .. deprecated:: 1.0.0
        **kwargs
            For compatibility with :meth:`numpy.take`. Has no effect on the
            output.

        Returns
        -------
        taken : same type as caller
            An array-like containing the elements taken from the object.

        See Also
        --------
        DataFrame.loc : Select a subset of a DataFrame by labels.
        DataFrame.iloc : Select a subset of a DataFrame by positions.
        numpy.take : Take elements from an array along an axis.

        Examples
        --------
        >>> df = pd.DataFrame([('falcon', 'bird', 389.0),
        ...                    ('parrot', 'bird', 24.0),
        ...                    ('lion', 'mammal', 80.5),
        ...                    ('monkey', 'mammal', np.nan)],
        ...                   columns=['name', 'class', 'max_speed'],
        ...                   index=[0, 2, 3, 1])
        >>> df
             name   class  max_speed
        0  falcon    bird      389.0
        2  parrot    bird       24.0
        3    lion  mammal       80.5
        1  monkey  mammal        NaN

        Take elements at positions 0 and 3 along the axis 0 (default).

        Note how the actual indices selected (0 and 1) do not correspond to
        our selected indices 0 and 3. That's because we are selecting the 0th
        and 3rd rows, not rows whose indices equal 0 and 3.

        >>> df.take([0, 3])
             name   class  max_speed
        0  falcon    bird      389.0
        1  monkey  mammal        NaN

        Take elements at indices 1 and 2 along the axis 1 (column selection).

        >>> df.take([1, 2], axis=1)
            class  max_speed
        0    bird      389.0
        2    bird       24.0
        3  mammal       80.5
        1  mammal        NaN

        We may take elements using negative integers for positive indices,
        starting from the end of the object, just like with Python lists.

        >>> df.take([-1, -2])
             name   class  max_speed
        1  monkey  mammal        NaN
        3    lion  mammal       80.5
        """
        if is_copy is not None:
            warnings.warn(
                "is_copy is deprecated and will be removed in a future version. "
                "'take' always returns a copy, so there is no need to specify this.",
                FutureWarning,
                stacklevel=2,
            )

        nv.validate_take(tuple(), kwargs)

        self._consolidate_inplace()

        new_data = self._mgr.take(
            indices, axis=self._get_block_manager_axis(axis), verify=True
        )
        return self._constructor(new_data).__finalize__(self, method="take")

    def _take_with_is_copy(self: FrameOrSeries, indices, axis=0) -> FrameOrSeries:
        """
        Internal version of the `take` method that sets the `_is_copy`
        attribute to keep track of the parent dataframe (using in indexing
        for the SettingWithCopyWarning).

        See the docstring of `take` for full explanation of the parameters.
        """
        result = self.take(indices=indices, axis=axis)
        # Maybe set copy if we didn't actually change the index.
        if not result._get_axis(axis).equals(self._get_axis(axis)):
            result._set_is_copy(self)
        return result

    def xs(self, key, axis=0, level=None, drop_level: bool_t = True):
        """
        Return cross-section from the Series/DataFrame.

        This method takes a `key` argument to select data at a particular
        level of a MultiIndex.

        Parameters
        ----------
        key : label or tuple of label
            Label contained in the index, or partially in a MultiIndex.
        axis : {0 or 'index', 1 or 'columns'}, default 0
            Axis to retrieve cross-section on.
        level : object, defaults to first n levels (n=1 or len(key))
            In case of a key partially contained in a MultiIndex, indicate
            which levels are used. Levels can be referred by label or position.
        drop_level : bool, default True
            If False, returns object with same levels as self.

        Returns
        -------
        Series or DataFrame
            Cross-section from the original Series or DataFrame
            corresponding to the selected index levels.

        See Also
        --------
        DataFrame.loc : Access a group of rows and columns
            by label(s) or a boolean array.
        DataFrame.iloc : Purely integer-location based indexing
            for selection by position.

        Notes
        -----
        `xs` can not be used to set values.

        MultiIndex Slicers is a generic way to get/set values on
        any level or levels.
        It is a superset of `xs` functionality, see
        :ref:`MultiIndex Slicers <advanced.mi_slicers>`.

        Examples
        --------
        >>> d = {'num_legs': [4, 4, 2, 2],
        ...      'num_wings': [0, 0, 2, 2],
        ...      'class': ['mammal', 'mammal', 'mammal', 'bird'],
        ...      'animal': ['cat', 'dog', 'bat', 'penguin'],
        ...      'locomotion': ['walks', 'walks', 'flies', 'walks']}
        >>> df = pd.DataFrame(data=d)
        >>> df = df.set_index(['class', 'animal', 'locomotion'])
        >>> df
                                   num_legs  num_wings
        class  animal  locomotion
        mammal cat     walks              4          0
               dog     walks              4          0
               bat     flies              2          2
        bird   penguin walks              2          2

        Get values at specified index

        >>> df.xs('mammal')
                           num_legs  num_wings
        animal locomotion
        cat    walks              4          0
        dog    walks              4          0
        bat    flies              2          2

        Get values at several indexes

        >>> df.xs(('mammal', 'dog'))
                    num_legs  num_wings
        locomotion
        walks              4          0

        Get values at specified index and level

        >>> df.xs('cat', level=1)
                           num_legs  num_wings
        class  locomotion
        mammal walks              4          0

        Get values at several indexes and levels

        >>> df.xs(('bird', 'walks'),
        ...       level=[0, 'locomotion'])
                 num_legs  num_wings
        animal
        penguin         2          2

        Get values at specified column and axis

        >>> df.xs('num_wings', axis=1)
        class   animal   locomotion
        mammal  cat      walks         0
                dog      walks         0
                bat      flies         2
        bird    penguin  walks         2
        Name: num_wings, dtype: int64
        """
        axis = self._get_axis_number(axis)
        labels = self._get_axis(axis)
        if level is not None:
            if not isinstance(labels, MultiIndex):
                raise TypeError("Index must be a MultiIndex")
            loc, new_ax = labels.get_loc_level(key, level=level, drop_level=drop_level)

            # create the tuple of the indexer
            _indexer = [slice(None)] * self.ndim
            _indexer[axis] = loc
            indexer = tuple(_indexer)

            result = self.iloc[indexer]
            setattr(result, result._get_axis_name(axis), new_ax)
            return result

        if axis == 1:
            return self[key]

        index = self.index
        if isinstance(index, MultiIndex):
            try:
                loc, new_index = self.index.get_loc_level(key, drop_level=drop_level)
            except TypeError as e:
                raise TypeError(f"Expected label or tuple of labels, got {key}") from e
        else:
            loc = self.index.get_loc(key)

            if isinstance(loc, np.ndarray):
                if loc.dtype == np.bool_:
                    (inds,) = loc.nonzero()
                    return self._take_with_is_copy(inds, axis=axis)
                else:
                    return self._take_with_is_copy(loc, axis=axis)

            if not is_scalar(loc):
                new_index = self.index[loc]

        if is_scalar(loc):
            # In this case loc should be an integer
            if self.ndim == 1:
                # if we encounter an array-like and we only have 1 dim
                # that means that their are list/ndarrays inside the Series!
                # so just return them (GH 6394)
                return self._values[loc]

            new_values = self._mgr.fast_xs(loc)

            result = self._constructor_sliced(
                new_values,
                index=self.columns,
                name=self.index[loc],
                dtype=new_values.dtype,
            )

        else:
            result = self.iloc[loc]
            result.index = new_index

        # this could be a view
        # but only in a single-dtyped view sliceable case
        result._set_is_copy(self, copy=not result._is_view)
        return result

    def __getitem__(self, item):
        raise AbstractMethodError(self)

    def _get_item_cache(self, item):
        """Return the cached item, item represents a label indexer."""
        cache = self._item_cache
        res = cache.get(item)
        if res is None:
            # All places that call _get_item_cache have unique columns,
            #  pending resolution of GH#33047

            loc = self.columns.get_loc(item)
            values = self._mgr.iget(loc)
            res = self._box_col_values(values, loc)

            cache[item] = res
            res._set_as_cached(item, self)

            # for a chain
            res._is_copy = self._is_copy
        return res

    def _slice(self: FrameOrSeries, slobj: slice, axis=0) -> FrameOrSeries:
        """
        Construct a slice of this container.

        Slicing with this method is *always* positional.
        """
        assert isinstance(slobj, slice), type(slobj)
        axis = self._get_block_manager_axis(axis)
        result = self._constructor(self._mgr.get_slice(slobj, axis=axis))
        result = result.__finalize__(self)

        # this could be a view
        # but only in a single-dtyped view sliceable case
        is_copy = axis != 0 or result._is_view
        result._set_is_copy(self, copy=is_copy)
        return result

    def _iset_item(self, loc: int, value) -> None:
        self._mgr.iset(loc, value)
        self._clear_item_cache()

    def _set_item(self, key, value) -> None:
        try:
            loc = self._info_axis.get_loc(key)
        except KeyError:
            # This item wasn't present, just insert at end
            self._mgr.insert(len(self._info_axis), key, value)
            return

        NDFrame._iset_item(self, loc, value)

    def _set_is_copy(self, ref, copy: bool_t = True) -> None:
        if not copy:
            self._is_copy = None
        else:
            assert ref is not None
            self._is_copy = weakref.ref(ref)

    def _check_is_chained_assignment_possible(self) -> bool_t:
        """
        Check if we are a view, have a cacher, and are of mixed type.
        If so, then force a setitem_copy check.

        Should be called just near setting a value

        Will return a boolean if it we are a view and are cached, but a
        single-dtype meaning that the cacher should be updated following
        setting.
        """
        if self._is_view and self._is_cached:
            ref = self._get_cacher()
            if ref is not None and ref._is_mixed_type:
                self._check_setitem_copy(stacklevel=4, t="referent", force=True)
            return True
        elif self._is_copy:
            self._check_setitem_copy(stacklevel=4, t="referent")
        return False

    def _check_setitem_copy(self, stacklevel=4, t="setting", force=False):
        """

        Parameters
        ----------
        stacklevel : int, default 4
           the level to show of the stack when the error is output
        t : str, the type of setting error
        force : bool, default False
           If True, then force showing an error.

        validate if we are doing a setitem on a chained copy.

        If you call this function, be sure to set the stacklevel such that the
        user will see the error *at the level of setting*

        It is technically possible to figure out that we are setting on
        a copy even WITH a multi-dtyped pandas object. In other words, some
        blocks may be views while other are not. Currently _is_view will ALWAYS
        return False for multi-blocks to avoid having to handle this case.

        df = DataFrame(np.arange(0,9), columns=['count'])
        df['group'] = 'b'

        # This technically need not raise SettingWithCopy if both are view
        # (which is not # generally guaranteed but is usually True.  However,
        # this is in general not a good practice and we recommend using .loc.
        df.iloc[0:5]['group'] = 'a'

        """
        # return early if the check is not needed
        if not (force or self._is_copy):
            return

        value = config.get_option("mode.chained_assignment")
        if value is None:
            return

        # see if the copy is not actually referred; if so, then dissolve
        # the copy weakref
        if self._is_copy is not None and not isinstance(self._is_copy, str):
            r = self._is_copy()
            if not gc.get_referents(r) or r.shape == self.shape:
                self._is_copy = None
                return

        # a custom message
        if isinstance(self._is_copy, str):
            t = self._is_copy

        elif t == "referent":
            t = (
                "\n"
                "A value is trying to be set on a copy of a slice from a "
                "DataFrame\n\n"
                "See the caveats in the documentation: "
                "https://pandas.pydata.org/pandas-docs/stable/user_guide/"
                "indexing.html#returning-a-view-versus-a-copy"
            )

        else:
            t = (
                "\n"
                "A value is trying to be set on a copy of a slice from a "
                "DataFrame.\n"
                "Try using .loc[row_indexer,col_indexer] = value "
                "instead\n\nSee the caveats in the documentation: "
                "https://pandas.pydata.org/pandas-docs/stable/user_guide/"
                "indexing.html#returning-a-view-versus-a-copy"
            )

        if value == "raise":
            raise com.SettingWithCopyError(t)
        elif value == "warn":
            warnings.warn(t, com.SettingWithCopyWarning, stacklevel=stacklevel)

    def __delitem__(self, key) -> None:
        """
        Delete item
        """
        deleted = False

        maybe_shortcut = False
        if self.ndim == 2 and isinstance(self.columns, MultiIndex):
            try:
                maybe_shortcut = key not in self.columns._engine
            except TypeError:
                pass

        if maybe_shortcut:
            # Allow shorthand to delete all columns whose first len(key)
            # elements match key:
            if not isinstance(key, tuple):
                key = (key,)
            for col in self.columns:
                if isinstance(col, tuple) and col[: len(key)] == key:
                    del self[col]
                    deleted = True
        if not deleted:
            # If the above loop ran and didn't delete anything because
            # there was no match, this call should raise the appropriate
            # exception:
            loc = self.axes[-1].get_loc(key)
            self._mgr.idelete(loc)

        # delete from the caches
        try:
            del self._item_cache[key]
        except KeyError:
            pass

    # ----------------------------------------------------------------------
    # Unsorted

    def _check_inplace_and_allows_duplicate_labels(self, inplace):
        if inplace and not self.flags.allows_duplicate_labels:
            raise ValueError(
                "Cannot specify 'inplace=True' when "
                "'self.flags.allows_duplicate_labels' is False."
            )

    def get(self, key, default=None):
        """
        Get item from object for given key (ex: DataFrame column).

        Returns default value if not found.

        Parameters
        ----------
        key : object

        Returns
        -------
        value : same type as items contained in object
        """
        try:
            return self[key]
        except (KeyError, ValueError, IndexError):
            return default

    @property
    def _is_view(self) -> bool_t:
        """Return boolean indicating if self is view of another array """
        return self._mgr.is_view

    def reindex_like(
        self: FrameOrSeries,
        other,
        method: Optional[str] = None,
        copy: bool_t = True,
        limit=None,
        tolerance=None,
    ) -> FrameOrSeries:
        """
        Return an object with matching indices as other object.

        Conform the object to the same index on all axes. Optional
        filling logic, placing NaN in locations having no value
        in the previous index. A new object is produced unless the
        new index is equivalent to the current one and copy=False.

        Parameters
        ----------
        other : Object of the same data type
            Its row and column indices are used to define the new indices
            of this object.
        method : {None, 'backfill'/'bfill', 'pad'/'ffill', 'nearest'}
            Method to use for filling holes in reindexed DataFrame.
            Please note: this is only applicable to DataFrames/Series with a
            monotonically increasing/decreasing index.

            * None (default): don't fill gaps
            * pad / ffill: propagate last valid observation forward to next
              valid
            * backfill / bfill: use next valid observation to fill gap
            * nearest: use nearest valid observations to fill gap.

        copy : bool, default True
            Return a new object, even if the passed indexes are the same.
        limit : int, default None
            Maximum number of consecutive labels to fill for inexact matches.
        tolerance : optional
            Maximum distance between original and new labels for inexact
            matches. The values of the index at the matching locations most
            satisfy the equation ``abs(index[indexer] - target) <= tolerance``.

            Tolerance may be a scalar value, which applies the same tolerance
            to all values, or list-like, which applies variable tolerance per
            element. List-like includes list, tuple, array, Series, and must be
            the same size as the index and its dtype must exactly match the
            index's type.

        Returns
        -------
        Series or DataFrame
            Same type as caller, but with changed indices on each axis.

        See Also
        --------
        DataFrame.set_index : Set row labels.
        DataFrame.reset_index : Remove row labels or move them to new columns.
        DataFrame.reindex : Change to new indices or expand indices.

        Notes
        -----
        Same as calling
        ``.reindex(index=other.index, columns=other.columns,...)``.

        Examples
        --------
        >>> df1 = pd.DataFrame([[24.3, 75.7, 'high'],
        ...                     [31, 87.8, 'high'],
        ...                     [22, 71.6, 'medium'],
        ...                     [35, 95, 'medium']],
        ...                    columns=['temp_celsius', 'temp_fahrenheit',
        ...                             'windspeed'],
        ...                    index=pd.date_range(start='2014-02-12',
        ...                                        end='2014-02-15', freq='D'))

        >>> df1
                    temp_celsius  temp_fahrenheit windspeed
        2014-02-12          24.3             75.7      high
        2014-02-13          31.0             87.8      high
        2014-02-14          22.0             71.6    medium
        2014-02-15          35.0             95.0    medium

        >>> df2 = pd.DataFrame([[28, 'low'],
        ...                     [30, 'low'],
        ...                     [35.1, 'medium']],
        ...                    columns=['temp_celsius', 'windspeed'],
        ...                    index=pd.DatetimeIndex(['2014-02-12', '2014-02-13',
        ...                                            '2014-02-15']))

        >>> df2
                    temp_celsius windspeed
        2014-02-12          28.0       low
        2014-02-13          30.0       low
        2014-02-15          35.1    medium

        >>> df2.reindex_like(df1)
                    temp_celsius  temp_fahrenheit windspeed
        2014-02-12          28.0              NaN       low
        2014-02-13          30.0              NaN       low
        2014-02-14           NaN              NaN       NaN
        2014-02-15          35.1              NaN    medium
        """
        d = other._construct_axes_dict(
            axes=self._AXIS_ORDERS,
            method=method,
            copy=copy,
            limit=limit,
            tolerance=tolerance,
        )

        return self.reindex(**d)

    def drop(
        self,
        labels=None,
        axis=0,
        index=None,
        columns=None,
        level=None,
        inplace: bool_t = False,
        errors: str = "raise",
    ):

        inplace = validate_bool_kwarg(inplace, "inplace")

        if labels is not None:
            if index is not None or columns is not None:
                raise ValueError("Cannot specify both 'labels' and 'index'/'columns'")
            axis_name = self._get_axis_name(axis)
            axes = {axis_name: labels}
        elif index is not None or columns is not None:
            axes, _ = self._construct_axes_from_arguments((index, columns), {})
        else:
            raise ValueError(
                "Need to specify at least one of 'labels', 'index' or 'columns'"
            )

        obj = self

        for axis, labels in axes.items():
            if labels is not None:
                obj = obj._drop_axis(labels, axis, level=level, errors=errors)

        if inplace:
            self._update_inplace(obj)
        else:
            return obj

    def _drop_axis(
        self: FrameOrSeries, labels, axis, level=None, errors: str = "raise"
    ) -> FrameOrSeries:
        """
        Drop labels from specified axis. Used in the ``drop`` method
        internally.

        Parameters
        ----------
        labels : single label or list-like
        axis : int or axis name
        level : int or level name, default None
            For MultiIndex
        errors : {'ignore', 'raise'}, default 'raise'
            If 'ignore', suppress error and existing labels are dropped.

        """
        axis = self._get_axis_number(axis)
        axis_name = self._get_axis_name(axis)
        axis = self._get_axis(axis)

        if axis.is_unique:
            if level is not None:
                if not isinstance(axis, MultiIndex):
                    raise AssertionError("axis must be a MultiIndex")
                new_axis = axis.drop(labels, level=level, errors=errors)
            else:
                new_axis = axis.drop(labels, errors=errors)
            result = self.reindex(**{axis_name: new_axis})

        # Case for non-unique axis
        else:
            labels = ensure_object(com.index_labels_to_array(labels))
            if level is not None:
                if not isinstance(axis, MultiIndex):
                    raise AssertionError("axis must be a MultiIndex")
                indexer = ~axis.get_level_values(level).isin(labels)

                # GH 18561 MultiIndex.drop should raise if label is absent
                if errors == "raise" and indexer.all():
                    raise KeyError(f"{labels} not found in axis")
            else:
                indexer = ~axis.isin(labels)
                # Check if label doesn't exist along axis
                labels_missing = (axis.get_indexer_for(labels) == -1).any()
                if errors == "raise" and labels_missing:
                    raise KeyError(f"{labels} not found in axis")

            slicer = [slice(None)] * self.ndim
            slicer[self._get_axis_number(axis_name)] = indexer

            result = self.loc[tuple(slicer)]

        return result

    def _update_inplace(self, result, verify_is_copy: bool_t = True) -> None:
        """
        Replace self internals with result.

        Parameters
        ----------
        result : same type as self
        verify_is_copy : bool, default True
            Provide is_copy checks.
        """
        # NOTE: This does *not* call __finalize__ and that's an explicit
        # decision that we may revisit in the future.
        self._reset_cache()
        self._clear_item_cache()
        self._mgr = result._mgr
        self._maybe_update_cacher(verify_is_copy=verify_is_copy)

    def add_prefix(self: FrameOrSeries, prefix: str) -> FrameOrSeries:
        """
        Prefix labels with string `prefix`.

        For Series, the row labels are prefixed.
        For DataFrame, the column labels are prefixed.

        Parameters
        ----------
        prefix : str
            The string to add before each label.

        Returns
        -------
        Series or DataFrame
            New Series or DataFrame with updated labels.

        See Also
        --------
        Series.add_suffix: Suffix row labels with string `suffix`.
        DataFrame.add_suffix: Suffix column labels with string `suffix`.

        Examples
        --------
        >>> s = pd.Series([1, 2, 3, 4])
        >>> s
        0    1
        1    2
        2    3
        3    4
        dtype: int64

        >>> s.add_prefix('item_')
        item_0    1
        item_1    2
        item_2    3
        item_3    4
        dtype: int64

        >>> df = pd.DataFrame({'A': [1, 2, 3, 4], 'B': [3, 4, 5, 6]})
        >>> df
           A  B
        0  1  3
        1  2  4
        2  3  5
        3  4  6

        >>> df.add_prefix('col_')
             col_A  col_B
        0       1       3
        1       2       4
        2       3       5
        3       4       6
        """
        f = functools.partial("{prefix}{}".format, prefix=prefix)

        mapper = {self._info_axis_name: f}
        # error: Incompatible return value type (got "Optional[FrameOrSeries]",
        # expected "FrameOrSeries")
        # error: Argument 1 to "rename" of "NDFrame" has incompatible type
        # "**Dict[str, partial[str]]"; expected "Union[str, int, None]"
        return self.rename(**mapper)  # type: ignore[return-value, arg-type]

    def add_suffix(self: FrameOrSeries, suffix: str) -> FrameOrSeries:
        """
        Suffix labels with string `suffix`.

        For Series, the row labels are suffixed.
        For DataFrame, the column labels are suffixed.

        Parameters
        ----------
        suffix : str
            The string to add after each label.

        Returns
        -------
        Series or DataFrame
            New Series or DataFrame with updated labels.

        See Also
        --------
        Series.add_prefix: Prefix row labels with string `prefix`.
        DataFrame.add_prefix: Prefix column labels with string `prefix`.

        Examples
        --------
        >>> s = pd.Series([1, 2, 3, 4])
        >>> s
        0    1
        1    2
        2    3
        3    4
        dtype: int64

        >>> s.add_suffix('_item')
        0_item    1
        1_item    2
        2_item    3
        3_item    4
        dtype: int64

        >>> df = pd.DataFrame({'A': [1, 2, 3, 4], 'B': [3, 4, 5, 6]})
        >>> df
           A  B
        0  1  3
        1  2  4
        2  3  5
        3  4  6

        >>> df.add_suffix('_col')
             A_col  B_col
        0       1       3
        1       2       4
        2       3       5
        3       4       6
        """
        f = functools.partial("{}{suffix}".format, suffix=suffix)

        mapper = {self._info_axis_name: f}
        # error: Incompatible return value type (got "Optional[FrameOrSeries]",
        # expected "FrameOrSeries")
        # error: Argument 1 to "rename" of "NDFrame" has incompatible type
        # "**Dict[str, partial[str]]"; expected "Union[str, int, None]"
        return self.rename(**mapper)  # type: ignore[return-value, arg-type]

    def sort_values(
        self,
        axis=0,
        ascending=True,
        inplace: bool_t = False,
        kind: str = "quicksort",
        na_position: str = "last",
        ignore_index: bool_t = False,
        key: ValueKeyFunc = None,
    ):
        """
        Sort by the values along either axis.

        Parameters
        ----------%(optional_by)s
        axis : %(axes_single_arg)s, default 0
             Axis to be sorted.
        ascending : bool or list of bool, default True
             Sort ascending vs. descending. Specify list for multiple sort
             orders.  If this is a list of bools, must match the length of
             the by.
        inplace : bool, default False
             If True, perform operation in-place.
        kind : {'quicksort', 'mergesort', 'heapsort'}, default 'quicksort'
             Choice of sorting algorithm. See also ndarray.np.sort for more
             information.  `mergesort` is the only stable algorithm. For
             DataFrames, this option is only applied when sorting on a single
             column or label.
        na_position : {'first', 'last'}, default 'last'
             Puts NaNs at the beginning if `first`; `last` puts NaNs at the
             end.
        ignore_index : bool, default False
             If True, the resulting axis will be labeled 0, 1, …, n - 1.

             .. versionadded:: 1.0.0

        key : callable, optional
            Apply the key function to the values
            before sorting. This is similar to the `key` argument in the
            builtin :meth:`sorted` function, with the notable difference that
            this `key` function should be *vectorized*. It should expect a
            ``Series`` and return a Series with the same shape as the input.
            It will be applied to each column in `by` independently.

            .. versionadded:: 1.1.0

        Returns
        -------
        DataFrame or None
            DataFrame with sorted values if inplace=False, None otherwise.

        See Also
        --------
        DataFrame.sort_index : Sort a DataFrame by the index.
        Series.sort_values : Similar method for a Series.

        Examples
        --------
        >>> df = pd.DataFrame({
        ...     'col1': ['A', 'A', 'B', np.nan, 'D', 'C'],
        ...     'col2': [2, 1, 9, 8, 7, 4],
        ...     'col3': [0, 1, 9, 4, 2, 3],
        ...     'col4': ['a', 'B', 'c', 'D', 'e', 'F']
        ... })
        >>> df
          col1  col2  col3 col4
        0    A     2     0    a
        1    A     1     1    B
        2    B     9     9    c
        3  NaN     8     4    D
        4    D     7     2    e
        5    C     4     3    F

        Sort by col1

        >>> df.sort_values(by=['col1'])
          col1  col2  col3 col4
        0    A     2     0    a
        1    A     1     1    B
        2    B     9     9    c
        5    C     4     3    F
        4    D     7     2    e
        3  NaN     8     4    D

        Sort by multiple columns

        >>> df.sort_values(by=['col1', 'col2'])
          col1  col2  col3 col4
        1    A     1     1    B
        0    A     2     0    a
        2    B     9     9    c
        5    C     4     3    F
        4    D     7     2    e
        3  NaN     8     4    D

        Sort Descending

        >>> df.sort_values(by='col1', ascending=False)
          col1  col2  col3 col4
        4    D     7     2    e
        5    C     4     3    F
        2    B     9     9    c
        0    A     2     0    a
        1    A     1     1    B
        3  NaN     8     4    D

        Putting NAs first

        >>> df.sort_values(by='col1', ascending=False, na_position='first')
          col1  col2  col3 col4
        3  NaN     8     4    D
        4    D     7     2    e
        5    C     4     3    F
        2    B     9     9    c
        0    A     2     0    a
        1    A     1     1    B

        Sorting with a key function

        >>> df.sort_values(by='col4', key=lambda col: col.str.lower())
           col1  col2  col3 col4
        0    A     2     0    a
        1    A     1     1    B
        2    B     9     9    c
        3  NaN     8     4    D
        4    D     7     2    e
        5    C     4     3    F

        Natural sort with the key argument,
        using the `natsort <https://github.com/SethMMorton/natsort>` package.

        >>> df = pd.DataFrame({
        ...    "time": ['0hr', '128hr', '72hr', '48hr', '96hr'],
        ...    "value": [10, 20, 30, 40, 50]
        ... })
        >>> df
            time  value
        0    0hr     10
        1  128hr     20
        2   72hr     30
        3   48hr     40
        4   96hr     50
        >>> from natsort import index_natsorted
        >>> df.sort_values(
        ...    by="time",
        ...    key=lambda x: np.argsort(index_natsorted(df["time"]))
        ... )
            time  value
        0    0hr     10
        3   48hr     40
        2   72hr     30
        4   96hr     50
        1  128hr     20
        """
        raise AbstractMethodError(self)

    def sort_index(
        self,
        axis=0,
        level=None,
        ascending: bool_t = True,
        inplace: bool_t = False,
        kind: str = "quicksort",
        na_position: str = "last",
        sort_remaining: bool_t = True,
        ignore_index: bool_t = False,
        key: IndexKeyFunc = None,
    ):

        inplace = validate_bool_kwarg(inplace, "inplace")
        axis = self._get_axis_number(axis)
        target = self._get_axis(axis)

        indexer = get_indexer_indexer(
            target, level, ascending, kind, na_position, sort_remaining, key
        )

        if indexer is None:
            if inplace:
                return
            else:
                return self.copy()

        baxis = self._get_block_manager_axis(axis)
        new_data = self._mgr.take(indexer, axis=baxis, verify=False)

        # reconstruct axis if needed
        new_data.axes[baxis] = new_data.axes[baxis]._sort_levels_monotonic()

        if ignore_index:
            axis = 1 if isinstance(self, ABCDataFrame) else 0
            new_data.axes[axis] = ibase.default_index(len(indexer))

        result = self._constructor(new_data)

        if inplace:
            return self._update_inplace(result)
        else:
            return result.__finalize__(self, method="sort_index")

    @doc(
        klass=_shared_doc_kwargs["klass"],
        axes=_shared_doc_kwargs["axes"],
        optional_labels="",
        optional_axis="",
    )
    def reindex(self: FrameOrSeries, *args, **kwargs) -> FrameOrSeries:
        """
        Conform {klass} to new index with optional filling logic.

        Places NA/NaN in locations having no value in the previous index. A new object
        is produced unless the new index is equivalent to the current one and
        ``copy=False``.

        Parameters
        ----------
        {optional_labels}
        {axes} : array-like, optional
            New labels / index to conform to, should be specified using
            keywords. Preferably an Index object to avoid duplicating data.
        {optional_axis}
        method : {{None, 'backfill'/'bfill', 'pad'/'ffill', 'nearest'}}
            Method to use for filling holes in reindexed DataFrame.
            Please note: this is only applicable to DataFrames/Series with a
            monotonically increasing/decreasing index.

            * None (default): don't fill gaps
            * pad / ffill: Propagate last valid observation forward to next
              valid.
            * backfill / bfill: Use next valid observation to fill gap.
            * nearest: Use nearest valid observations to fill gap.

        copy : bool, default True
            Return a new object, even if the passed indexes are the same.
        level : int or name
            Broadcast across a level, matching Index values on the
            passed MultiIndex level.
        fill_value : scalar, default np.NaN
            Value to use for missing values. Defaults to NaN, but can be any
            "compatible" value.
        limit : int, default None
            Maximum number of consecutive elements to forward or backward fill.
        tolerance : optional
            Maximum distance between original and new labels for inexact
            matches. The values of the index at the matching locations most
            satisfy the equation ``abs(index[indexer] - target) <= tolerance``.

            Tolerance may be a scalar value, which applies the same tolerance
            to all values, or list-like, which applies variable tolerance per
            element. List-like includes list, tuple, array, Series, and must be
            the same size as the index and its dtype must exactly match the
            index's type.

        Returns
        -------
        {klass} with changed index.

        See Also
        --------
        DataFrame.set_index : Set row labels.
        DataFrame.reset_index : Remove row labels or move them to new columns.
        DataFrame.reindex_like : Change to same indices as other DataFrame.

        Examples
        --------
        ``DataFrame.reindex`` supports two calling conventions

        * ``(index=index_labels, columns=column_labels, ...)``
        * ``(labels, axis={{'index', 'columns'}}, ...)``

        We *highly* recommend using keyword arguments to clarify your
        intent.

        Create a dataframe with some fictional data.

        >>> index = ['Firefox', 'Chrome', 'Safari', 'IE10', 'Konqueror']
        >>> df = pd.DataFrame({{'http_status': [200, 200, 404, 404, 301],
        ...                   'response_time': [0.04, 0.02, 0.07, 0.08, 1.0]}},
        ...                   index=index)
        >>> df
                   http_status  response_time
        Firefox            200           0.04
        Chrome             200           0.02
        Safari             404           0.07
        IE10               404           0.08
        Konqueror          301           1.00

        Create a new index and reindex the dataframe. By default
        values in the new index that do not have corresponding
        records in the dataframe are assigned ``NaN``.

        >>> new_index = ['Safari', 'Iceweasel', 'Comodo Dragon', 'IE10',
        ...              'Chrome']
        >>> df.reindex(new_index)
                       http_status  response_time
        Safari               404.0           0.07
        Iceweasel              NaN            NaN
        Comodo Dragon          NaN            NaN
        IE10                 404.0           0.08
        Chrome               200.0           0.02

        We can fill in the missing values by passing a value to
        the keyword ``fill_value``. Because the index is not monotonically
        increasing or decreasing, we cannot use arguments to the keyword
        ``method`` to fill the ``NaN`` values.

        >>> df.reindex(new_index, fill_value=0)
                       http_status  response_time
        Safari                 404           0.07
        Iceweasel                0           0.00
        Comodo Dragon            0           0.00
        IE10                   404           0.08
        Chrome                 200           0.02

        >>> df.reindex(new_index, fill_value='missing')
                      http_status response_time
        Safari                404          0.07
        Iceweasel         missing       missing
        Comodo Dragon     missing       missing
        IE10                  404          0.08
        Chrome                200          0.02

        We can also reindex the columns.

        >>> df.reindex(columns=['http_status', 'user_agent'])
                   http_status  user_agent
        Firefox            200         NaN
        Chrome             200         NaN
        Safari             404         NaN
        IE10               404         NaN
        Konqueror          301         NaN

        Or we can use "axis-style" keyword arguments

        >>> df.reindex(['http_status', 'user_agent'], axis="columns")
                   http_status  user_agent
        Firefox            200         NaN
        Chrome             200         NaN
        Safari             404         NaN
        IE10               404         NaN
        Konqueror          301         NaN

        To further illustrate the filling functionality in
        ``reindex``, we will create a dataframe with a
        monotonically increasing index (for example, a sequence
        of dates).

        >>> date_index = pd.date_range('1/1/2010', periods=6, freq='D')
        >>> df2 = pd.DataFrame({{"prices": [100, 101, np.nan, 100, 89, 88]}},
        ...                    index=date_index)
        >>> df2
                    prices
        2010-01-01   100.0
        2010-01-02   101.0
        2010-01-03     NaN
        2010-01-04   100.0
        2010-01-05    89.0
        2010-01-06    88.0

        Suppose we decide to expand the dataframe to cover a wider
        date range.

        >>> date_index2 = pd.date_range('12/29/2009', periods=10, freq='D')
        >>> df2.reindex(date_index2)
                    prices
        2009-12-29     NaN
        2009-12-30     NaN
        2009-12-31     NaN
        2010-01-01   100.0
        2010-01-02   101.0
        2010-01-03     NaN
        2010-01-04   100.0
        2010-01-05    89.0
        2010-01-06    88.0
        2010-01-07     NaN

        The index entries that did not have a value in the original data frame
        (for example, '2009-12-29') are by default filled with ``NaN``.
        If desired, we can fill in the missing values using one of several
        options.

        For example, to back-propagate the last valid value to fill the ``NaN``
        values, pass ``bfill`` as an argument to the ``method`` keyword.

        >>> df2.reindex(date_index2, method='bfill')
                    prices
        2009-12-29   100.0
        2009-12-30   100.0
        2009-12-31   100.0
        2010-01-01   100.0
        2010-01-02   101.0
        2010-01-03     NaN
        2010-01-04   100.0
        2010-01-05    89.0
        2010-01-06    88.0
        2010-01-07     NaN

        Please note that the ``NaN`` value present in the original dataframe
        (at index value 2010-01-03) will not be filled by any of the
        value propagation schemes. This is because filling while reindexing
        does not look at dataframe values, but only compares the original and
        desired indexes. If you do want to fill in the ``NaN`` values present
        in the original dataframe, use the ``fillna()`` method.

        See the :ref:`user guide <basics.reindexing>` for more.
        """
        # TODO: Decide if we care about having different examples for different
        # kinds

        # construct the args
        axes, kwargs = self._construct_axes_from_arguments(args, kwargs)
        method = missing.clean_reindex_fill_method(kwargs.pop("method", None))
        level = kwargs.pop("level", None)
        copy = kwargs.pop("copy", True)
        limit = kwargs.pop("limit", None)
        tolerance = kwargs.pop("tolerance", None)
        fill_value = kwargs.pop("fill_value", None)

        # Series.reindex doesn't use / need the axis kwarg
        # We pop and ignore it here, to make writing Series/Frame generic code
        # easier
        kwargs.pop("axis", None)

        if kwargs:
            raise TypeError(
                "reindex() got an unexpected keyword "
                f'argument "{list(kwargs.keys())[0]}"'
            )

        self._consolidate_inplace()

        # if all axes that are requested to reindex are equal, then only copy
        # if indicated must have index names equal here as well as values
        if all(
            self._get_axis(axis).identical(ax)
            for axis, ax in axes.items()
            if ax is not None
        ):
            if copy:
                return self.copy()
            return self

        # check if we are a multi reindex
        if self._needs_reindex_multi(axes, method, level):
            return self._reindex_multi(axes, copy, fill_value)

        # perform the reindex on the axes
        return self._reindex_axes(
            axes, level, limit, tolerance, method, fill_value, copy
        ).__finalize__(self, method="reindex")

    def _reindex_axes(
        self: FrameOrSeries, axes, level, limit, tolerance, method, fill_value, copy
    ) -> FrameOrSeries:
        """Perform the reindex for all the axes."""
        obj = self
        for a in self._AXIS_ORDERS:
            labels = axes[a]
            if labels is None:
                continue

            ax = self._get_axis(a)
            new_index, indexer = ax.reindex(
                labels, level=level, limit=limit, tolerance=tolerance, method=method
            )

            axis = self._get_axis_number(a)
            obj = obj._reindex_with_indexers(
                {axis: [new_index, indexer]},
                fill_value=fill_value,
                copy=copy,
                allow_dups=False,
            )

        return obj

    def _needs_reindex_multi(self, axes, method, level) -> bool_t:
        """Check if we do need a multi reindex."""
        return (
            (com.count_not_none(*axes.values()) == self._AXIS_LEN)
            and method is None
            and level is None
            and not self._is_mixed_type
        )

    def _reindex_multi(self, axes, copy, fill_value):
        raise AbstractMethodError(self)

    def _reindex_with_indexers(
        self: FrameOrSeries,
        reindexers,
        fill_value=None,
        copy: bool_t = False,
        allow_dups: bool_t = False,
    ) -> FrameOrSeries:
        """allow_dups indicates an internal call here """
        # reindex doing multiple operations on different axes if indicated
        new_data = self._mgr
        for axis in sorted(reindexers.keys()):
            index, indexer = reindexers[axis]
            baxis = self._get_block_manager_axis(axis)

            if index is None:
                continue

            index = ensure_index(index)
            if indexer is not None:
                indexer = ensure_int64(indexer)

            # TODO: speed up on homogeneous DataFrame objects
            new_data = new_data.reindex_indexer(
                index,
                indexer,
                axis=baxis,
                fill_value=fill_value,
                allow_dups=allow_dups,
                copy=copy,
            )
            # If we've made a copy once, no need to make another one
            copy = False

        if copy and new_data is self._mgr:
            new_data = new_data.copy()

        return self._constructor(new_data).__finalize__(self)

    def filter(
        self: FrameOrSeries,
        items=None,
        like: Optional[str] = None,
        regex: Optional[str] = None,
        axis=None,
    ) -> FrameOrSeries:
        """
        Subset the dataframe rows or columns according to the specified index labels.

        Note that this routine does not filter a dataframe on its
        contents. The filter is applied to the labels of the index.

        Parameters
        ----------
        items : list-like
            Keep labels from axis which are in items.
        like : str
            Keep labels from axis for which "like in label == True".
        regex : str (regular expression)
            Keep labels from axis for which re.search(regex, label) == True.
        axis : {0 or ‘index’, 1 or ‘columns’, None}, default None
            The axis to filter on, expressed either as an index (int)
            or axis name (str). By default this is the info axis,
            'index' for Series, 'columns' for DataFrame.

        Returns
        -------
        same type as input object

        See Also
        --------
        DataFrame.loc : Access a group of rows and columns
            by label(s) or a boolean array.

        Notes
        -----
        The ``items``, ``like``, and ``regex`` parameters are
        enforced to be mutually exclusive.

        ``axis`` defaults to the info axis that is used when indexing
        with ``[]``.

        Examples
        --------
        >>> df = pd.DataFrame(np.array(([1, 2, 3], [4, 5, 6])),
        ...                   index=['mouse', 'rabbit'],
        ...                   columns=['one', 'two', 'three'])
        >>> df
                one  two  three
        mouse     1    2      3
        rabbit    4    5      6

        >>> # select columns by name
        >>> df.filter(items=['one', 'three'])
                 one  three
        mouse     1      3
        rabbit    4      6

        >>> # select columns by regular expression
        >>> df.filter(regex='e$', axis=1)
                 one  three
        mouse     1      3
        rabbit    4      6

        >>> # select rows containing 'bbi'
        >>> df.filter(like='bbi', axis=0)
                 one  two  three
        rabbit    4    5      6
        """
        nkw = com.count_not_none(items, like, regex)
        if nkw > 1:
            raise TypeError(
                "Keyword arguments `items`, `like`, or `regex` "
                "are mutually exclusive"
            )

        if axis is None:
            axis = self._info_axis_name
        labels = self._get_axis(axis)

        if items is not None:
            name = self._get_axis_name(axis)
            return self.reindex(**{name: [r for r in items if r in labels]})
        elif like:

            def f(x) -> bool:
                assert like is not None  # needed for mypy
                return like in ensure_str(x)

            values = labels.map(f)
            return self.loc(axis=axis)[values]
        elif regex:

            def f(x) -> bool:
                return matcher.search(ensure_str(x)) is not None

            matcher = re.compile(regex)
            values = labels.map(f)
            return self.loc(axis=axis)[values]
        else:
            raise TypeError("Must pass either `items`, `like`, or `regex`")

    def head(self: FrameOrSeries, n: int = 5) -> FrameOrSeries:
        """
        Return the first `n` rows.

        This function returns the first `n` rows for the object based
        on position. It is useful for quickly testing if your object
        has the right type of data in it.

        For negative values of `n`, this function returns all rows except
        the last `n` rows, equivalent to ``df[:-n]``.

        Parameters
        ----------
        n : int, default 5
            Number of rows to select.

        Returns
        -------
        same type as caller
            The first `n` rows of the caller object.

        See Also
        --------
        DataFrame.tail: Returns the last `n` rows.

        Examples
        --------
        >>> df = pd.DataFrame({'animal': ['alligator', 'bee', 'falcon', 'lion',
        ...                    'monkey', 'parrot', 'shark', 'whale', 'zebra']})
        >>> df
              animal
        0  alligator
        1        bee
        2     falcon
        3       lion
        4     monkey
        5     parrot
        6      shark
        7      whale
        8      zebra

        Viewing the first 5 lines

        >>> df.head()
              animal
        0  alligator
        1        bee
        2     falcon
        3       lion
        4     monkey

        Viewing the first `n` lines (three in this case)

        >>> df.head(3)
              animal
        0  alligator
        1        bee
        2     falcon

        For negative values of `n`

        >>> df.head(-3)
              animal
        0  alligator
        1        bee
        2     falcon
        3       lion
        4     monkey
        5     parrot
        """
        return self.iloc[:n]

    def tail(self: FrameOrSeries, n: int = 5) -> FrameOrSeries:
        """
        Return the last `n` rows.

        This function returns last `n` rows from the object based on
        position. It is useful for quickly verifying data, for example,
        after sorting or appending rows.

        For negative values of `n`, this function returns all rows except
        the first `n` rows, equivalent to ``df[n:]``.

        Parameters
        ----------
        n : int, default 5
            Number of rows to select.

        Returns
        -------
        type of caller
            The last `n` rows of the caller object.

        See Also
        --------
        DataFrame.head : The first `n` rows of the caller object.

        Examples
        --------
        >>> df = pd.DataFrame({'animal': ['alligator', 'bee', 'falcon', 'lion',
        ...                    'monkey', 'parrot', 'shark', 'whale', 'zebra']})
        >>> df
              animal
        0  alligator
        1        bee
        2     falcon
        3       lion
        4     monkey
        5     parrot
        6      shark
        7      whale
        8      zebra

        Viewing the last 5 lines

        >>> df.tail()
           animal
        4  monkey
        5  parrot
        6   shark
        7   whale
        8   zebra

        Viewing the last `n` lines (three in this case)

        >>> df.tail(3)
          animal
        6  shark
        7  whale
        8  zebra

        For negative values of `n`

        >>> df.tail(-3)
           animal
        3    lion
        4  monkey
        5  parrot
        6   shark
        7   whale
        8   zebra
        """
        if n == 0:
            return self.iloc[0:0]
        return self.iloc[-n:]

    def sample(
        self: FrameOrSeries,
        n=None,
        frac=None,
        replace=False,
        weights=None,
        random_state=None,
        axis=None,
    ) -> FrameOrSeries:
        """
        Return a random sample of items from an axis of object.

        You can use `random_state` for reproducibility.

        Parameters
        ----------
        n : int, optional
            Number of items from axis to return. Cannot be used with `frac`.
            Default = 1 if `frac` = None.
        frac : float, optional
            Fraction of axis items to return. Cannot be used with `n`.
        replace : bool, default False
            Allow or disallow sampling of the same row more than once.
        weights : str or ndarray-like, optional
            Default 'None' results in equal probability weighting.
            If passed a Series, will align with target object on index. Index
            values in weights not found in sampled object will be ignored and
            index values in sampled object not in weights will be assigned
            weights of zero.
            If called on a DataFrame, will accept the name of a column
            when axis = 0.
            Unless weights are a Series, weights must be same length as axis
            being sampled.
            If weights do not sum to 1, they will be normalized to sum to 1.
            Missing values in the weights column will be treated as zero.
            Infinite values not allowed.
        random_state : int, array-like, BitGenerator, np.random.RandomState, optional
            If int, array-like, or BitGenerator (NumPy>=1.17), seed for
            random number generator
            If np.random.RandomState, use as numpy RandomState object.

            .. versionchanged:: 1.1.0

                array-like and BitGenerator (for NumPy>=1.17) object now passed to
                np.random.RandomState() as seed

        axis : {0 or ‘index’, 1 or ‘columns’, None}, default None
            Axis to sample. Accepts axis number or name. Default is stat axis
            for given data type (0 for Series and DataFrames).

        Returns
        -------
        Series or DataFrame
            A new object of same type as caller containing `n` items randomly
            sampled from the caller object.

        See Also
        --------
        DataFrameGroupBy.sample: Generates random samples from each group of a
            DataFrame object.
        SeriesGroupBy.sample: Generates random samples from each group of a
            Series object.
        numpy.random.choice: Generates a random sample from a given 1-D numpy
            array.

        Notes
        -----
        If `frac` > 1, `replacement` should be set to `True`.

        Examples
        --------
        >>> df = pd.DataFrame({'num_legs': [2, 4, 8, 0],
        ...                    'num_wings': [2, 0, 0, 0],
        ...                    'num_specimen_seen': [10, 2, 1, 8]},
        ...                   index=['falcon', 'dog', 'spider', 'fish'])
        >>> df
                num_legs  num_wings  num_specimen_seen
        falcon         2          2                 10
        dog            4          0                  2
        spider         8          0                  1
        fish           0          0                  8

        Extract 3 random elements from the ``Series`` ``df['num_legs']``:
        Note that we use `random_state` to ensure the reproducibility of
        the examples.

        >>> df['num_legs'].sample(n=3, random_state=1)
        fish      0
        spider    8
        falcon    2
        Name: num_legs, dtype: int64

        A random 50% sample of the ``DataFrame`` with replacement:

        >>> df.sample(frac=0.5, replace=True, random_state=1)
              num_legs  num_wings  num_specimen_seen
        dog          4          0                  2
        fish         0          0                  8

        An upsample sample of the ``DataFrame`` with replacement:
        Note that `replace` parameter has to be `True` for `frac` parameter > 1.

        >>> df.sample(frac=2, replace=True, random_state=1)
                num_legs  num_wings  num_specimen_seen
        dog            4          0                  2
        fish           0          0                  8
        falcon         2          2                 10
        falcon         2          2                 10
        fish           0          0                  8
        dog            4          0                  2
        fish           0          0                  8
        dog            4          0                  2

        Using a DataFrame column as weights. Rows with larger value in the
        `num_specimen_seen` column are more likely to be sampled.

        >>> df.sample(n=2, weights='num_specimen_seen', random_state=1)
                num_legs  num_wings  num_specimen_seen
        falcon         2          2                 10
        fish           0          0                  8
        """
        if axis is None:
            axis = self._stat_axis_number

        axis = self._get_axis_number(axis)
        axis_length = self.shape[axis]

        # Process random_state argument
        rs = com.random_state(random_state)

        # Check weights for compliance
        if weights is not None:

            # If a series, align with frame
            if isinstance(weights, ABCSeries):
                weights = weights.reindex(self.axes[axis])

            # Strings acceptable if a dataframe and axis = 0
            if isinstance(weights, str):
                if isinstance(self, ABCDataFrame):
                    if axis == 0:
                        try:
                            weights = self[weights]
                        except KeyError as err:
                            raise KeyError(
                                "String passed to weights not a valid column"
                            ) from err
                    else:
                        raise ValueError(
                            "Strings can only be passed to "
                            "weights when sampling from rows on "
                            "a DataFrame"
                        )
                else:
                    raise ValueError(
                        "Strings cannot be passed as weights "
                        "when sampling from a Series."
                    )

            weights = pd.Series(weights, dtype="float64")

            if len(weights) != axis_length:
                raise ValueError(
                    "Weights and axis to be sampled must be of same length"
                )

            if (weights == np.inf).any() or (weights == -np.inf).any():
                raise ValueError("weight vector may not include `inf` values")

            if (weights < 0).any():
                raise ValueError("weight vector many not include negative values")

            # If has nan, set to zero.
            weights = weights.fillna(0)

            # Renormalize if don't sum to 1
            if weights.sum() != 1:
                if weights.sum() != 0:
                    weights = weights / weights.sum()
                else:
                    raise ValueError("Invalid weights: weights sum to zero")

            weights = weights._values

        # If no frac or n, default to n=1.
        if n is None and frac is None:
            n = 1
        elif frac is not None and frac > 1 and not replace:
            raise ValueError(
                "Replace has to be set to `True` when "
                "upsampling the population `frac` > 1."
            )
        elif n is not None and frac is None and n % 1 != 0:
            raise ValueError("Only integers accepted as `n` values")
        elif n is None and frac is not None:
            n = int(round(frac * axis_length))
        elif n is not None and frac is not None:
            raise ValueError("Please enter a value for `frac` OR `n`, not both")

        # Check for negative sizes
        if n < 0:
            raise ValueError(
                "A negative number of rows requested. Please provide positive value."
            )

        locs = rs.choice(axis_length, size=n, replace=replace, p=weights)
        return self.take(locs, axis=axis)

    @doc(klass=_shared_doc_kwargs["klass"])
    def pipe(self, func, *args, **kwargs):
        r"""
        Apply func(self, \*args, \*\*kwargs).

        Parameters
        ----------
        func : function
            Function to apply to the {klass}.
            ``args``, and ``kwargs`` are passed into ``func``.
            Alternatively a ``(callable, data_keyword)`` tuple where
            ``data_keyword`` is a string indicating the keyword of
            ``callable`` that expects the {klass}.
        args : iterable, optional
            Positional arguments passed into ``func``.
        kwargs : mapping, optional
            A dictionary of keyword arguments passed into ``func``.

        Returns
        -------
        object : the return type of ``func``.

        See Also
        --------
        DataFrame.apply : Apply a function along input axis of DataFrame.
        DataFrame.applymap : Apply a function elementwise on a whole DataFrame.
        Series.map : Apply a mapping correspondence on a
            :class:`~pandas.Series`.

        Notes
        -----
        Use ``.pipe`` when chaining together functions that expect
        Series, DataFrames or GroupBy objects. Instead of writing

        >>> func(g(h(df), arg1=a), arg2=b, arg3=c)  # doctest: +SKIP

        You can write

        >>> (df.pipe(h)
        ...    .pipe(g, arg1=a)
        ...    .pipe(func, arg2=b, arg3=c)
        ... )  # doctest: +SKIP

        If you have a function that takes the data as (say) the second
        argument, pass a tuple indicating which keyword expects the
        data. For example, suppose ``f`` takes its data as ``arg2``:

        >>> (df.pipe(h)
        ...    .pipe(g, arg1=a)
        ...    .pipe((func, 'arg2'), arg1=a, arg3=c)
        ...  )  # doctest: +SKIP
        """
        return com.pipe(self, func, *args, **kwargs)

    # ----------------------------------------------------------------------
    # Attribute access

    def __finalize__(
        self: FrameOrSeries, other, method: Optional[str] = None, **kwargs
    ) -> FrameOrSeries:
        """
        Propagate metadata from other to self.

        Parameters
        ----------
        other : the object from which to get the attributes that we are going
            to propagate
        method : str, optional
            A passed method name providing context on where ``__finalize__``
            was called.

            .. warning:

               The value passed as `method` are not currently considered
               stable across pandas releases.
        """
        if isinstance(other, NDFrame):
            for name in other.attrs:
                self.attrs[name] = other.attrs[name]

            self.flags.allows_duplicate_labels = other.flags.allows_duplicate_labels
            # For subclasses using _metadata.
            for name in self._metadata:
                assert isinstance(name, str)
                object.__setattr__(self, name, getattr(other, name, None))

        if method == "concat":
            allows_duplicate_labels = all(
                x.flags.allows_duplicate_labels for x in other.objs
            )
            self.flags.allows_duplicate_labels = allows_duplicate_labels

        return self

    def __getattr__(self, name: str):
        """
        After regular attribute access, try looking up the name
        This allows simpler access to columns for interactive use.
        """
        # Note: obj.x will always call obj.__getattribute__('x') prior to
        # calling obj.__getattr__('x').
        if (
            name in self._internal_names_set
            or name in self._metadata
            or name in self._accessors
        ):
            return object.__getattribute__(self, name)
        else:
            if self._info_axis._can_hold_identifiers_and_holds_name(name):
                return self[name]
            return object.__getattribute__(self, name)

    def __setattr__(self, name: str, value) -> None:
        """
        After regular attribute access, try setting the name
        This allows simpler access to columns for interactive use.
        """
        # first try regular attribute access via __getattribute__, so that
        # e.g. ``obj.x`` and ``obj.x = 4`` will always reference/modify
        # the same attribute.

        try:
            object.__getattribute__(self, name)
            return object.__setattr__(self, name, value)
        except AttributeError:
            pass

        # if this fails, go on to more involved attribute setting
        # (note that this matches __getattr__, above).
        if name in self._internal_names_set:
            object.__setattr__(self, name, value)
        elif name in self._metadata:
            object.__setattr__(self, name, value)
        else:
            try:
                existing = getattr(self, name)
                if isinstance(existing, Index):
                    object.__setattr__(self, name, value)
                elif name in self._info_axis:
                    self[name] = value
                else:
                    object.__setattr__(self, name, value)
            except (AttributeError, TypeError):
                if isinstance(self, ABCDataFrame) and (is_list_like(value)):
                    warnings.warn(
                        "Pandas doesn't allow columns to be "
                        "created via a new attribute name - see "
                        "https://pandas.pydata.org/pandas-docs/"
                        "stable/indexing.html#attribute-access",
                        stacklevel=2,
                    )
                object.__setattr__(self, name, value)

    def _dir_additions(self):
        """
        add the string-like attributes from the info_axis.
        If info_axis is a MultiIndex, it's first level values are used.
        """
        additions = {
            c
            for c in self._info_axis.unique(level=0)[:100]
            if isinstance(c, str) and c.isidentifier()
        }
        return super()._dir_additions().union(additions)

    # ----------------------------------------------------------------------
    # Consolidation of internals

    def _protect_consolidate(self, f):
        """
        Consolidate _mgr -- if the blocks have changed, then clear the
        cache
        """
        blocks_before = len(self._mgr.blocks)
        result = f()
        if len(self._mgr.blocks) != blocks_before:
            self._clear_item_cache()
        return result

    def _consolidate_inplace(self) -> None:
        """Consolidate data in place and return None"""

        def f():
            self._mgr = self._mgr.consolidate()

        self._protect_consolidate(f)

    def _consolidate(self, inplace: bool_t = False):
        """
        Compute NDFrame with "consolidated" internals (data of each dtype
        grouped together in a single ndarray).

        Parameters
        ----------
        inplace : bool, default False
            If False return new object, otherwise modify existing object.

        Returns
        -------
        consolidated : same type as caller
        """
        inplace = validate_bool_kwarg(inplace, "inplace")
        if inplace:
            self._consolidate_inplace()
        else:
            f = lambda: self._mgr.consolidate()
            cons_data = self._protect_consolidate(f)
            return self._constructor(cons_data).__finalize__(self)

    @property
    def _is_mixed_type(self) -> bool_t:
        f = lambda: self._mgr.is_mixed_type
        return self._protect_consolidate(f)

    def _check_inplace_setting(self, value) -> bool_t:
        """ check whether we allow in-place setting with this type of value """
        if self._is_mixed_type:
            if not self._mgr.is_numeric_mixed_type:

                # allow an actual np.nan thru
                if is_float(value) and np.isnan(value):
                    return True

                raise TypeError(
                    "Cannot do inplace boolean setting on "
                    "mixed-types with a non np.nan value"
                )

        return True

    def _get_numeric_data(self):
        return self._constructor(self._mgr.get_numeric_data()).__finalize__(self)

    def _get_bool_data(self):
        return self._constructor(self._mgr.get_bool_data()).__finalize__(self)

    # ----------------------------------------------------------------------
    # Internal Interface Methods

    @property
    def values(self) -> np.ndarray:
        """
        Return a Numpy representation of the DataFrame.

        .. warning::

           We recommend using :meth:`DataFrame.to_numpy` instead.

        Only the values in the DataFrame will be returned, the axes labels
        will be removed.

        Returns
        -------
        numpy.ndarray
            The values of the DataFrame.

        See Also
        --------
        DataFrame.to_numpy : Recommended alternative to this method.
        DataFrame.index : Retrieve the index labels.
        DataFrame.columns : Retrieving the column names.

        Notes
        -----
        The dtype will be a lower-common-denominator dtype (implicit
        upcasting); that is to say if the dtypes (even of numeric types)
        are mixed, the one that accommodates all will be chosen. Use this
        with care if you are not dealing with the blocks.

        e.g. If the dtypes are float16 and float32, dtype will be upcast to
        float32.  If dtypes are int32 and uint8, dtype will be upcast to
        int32. By :func:`numpy.find_common_type` convention, mixing int64
        and uint64 will result in a float64 dtype.

        Examples
        --------
        A DataFrame where all columns are the same type (e.g., int64) results
        in an array of the same type.

        >>> df = pd.DataFrame({'age':    [ 3,  29],
        ...                    'height': [94, 170],
        ...                    'weight': [31, 115]})
        >>> df
           age  height  weight
        0    3      94      31
        1   29     170     115
        >>> df.dtypes
        age       int64
        height    int64
        weight    int64
        dtype: object
        >>> df.values
        array([[  3,  94,  31],
               [ 29, 170, 115]])

        A DataFrame with mixed type columns(e.g., str/object, int64, float32)
        results in an ndarray of the broadest type that accommodates these
        mixed types (e.g., object).

        >>> df2 = pd.DataFrame([('parrot',   24.0, 'second'),
        ...                     ('lion',     80.5, 1),
        ...                     ('monkey', np.nan, None)],
        ...                   columns=('name', 'max_speed', 'rank'))
        >>> df2.dtypes
        name          object
        max_speed    float64
        rank          object
        dtype: object
        >>> df2.values
        array([['parrot', 24.0, 'second'],
               ['lion', 80.5, 1],
               ['monkey', nan, None]], dtype=object)
        """
        self._consolidate_inplace()
        return self._mgr.as_array(transpose=self._AXIS_REVERSED)

    @property
    def _values(self) -> np.ndarray:
        """internal implementation"""
        return self.values

    @property
    def dtypes(self):
        """
        Return the dtypes in the DataFrame.

        This returns a Series with the data type of each column.
        The result's index is the original DataFrame's columns. Columns
        with mixed types are stored with the ``object`` dtype. See
        :ref:`the User Guide <basics.dtypes>` for more.

        Returns
        -------
        pandas.Series
            The data type of each column.

        Examples
        --------
        >>> df = pd.DataFrame({'float': [1.0],
        ...                    'int': [1],
        ...                    'datetime': [pd.Timestamp('20180310')],
        ...                    'string': ['foo']})
        >>> df.dtypes
        float              float64
        int                  int64
        datetime    datetime64[ns]
        string              object
        dtype: object
        """
        data = self._mgr.get_dtypes()
        return self._constructor_sliced(data, index=self._info_axis, dtype=np.object_)

    def _to_dict_of_blocks(self, copy: bool_t = True):
        """
        Return a dict of dtype -> Constructor Types that
        each is a homogeneous dtype.

        Internal ONLY
        """
        return {
            k: self._constructor(v).__finalize__(self)
            for k, v, in self._mgr.to_dict(copy=copy).items()
        }

    def astype(
        self: FrameOrSeries, dtype, copy: bool_t = True, errors: str = "raise"
    ) -> FrameOrSeries:
        """
        Cast a pandas object to a specified dtype ``dtype``.

        Parameters
        ----------
        dtype : data type, or dict of column name -> data type
            Use a numpy.dtype or Python type to cast entire pandas object to
            the same type. Alternatively, use {col: dtype, ...}, where col is a
            column label and dtype is a numpy.dtype or Python type to cast one
            or more of the DataFrame's columns to column-specific types.
        copy : bool, default True
            Return a copy when ``copy=True`` (be very careful setting
            ``copy=False`` as changes to values then may propagate to other
            pandas objects).
        errors : {'raise', 'ignore'}, default 'raise'
            Control raising of exceptions on invalid data for provided dtype.

            - ``raise`` : allow exceptions to be raised
            - ``ignore`` : suppress exceptions. On error return original object.

        Returns
        -------
        casted : same type as caller

        See Also
        --------
        to_datetime : Convert argument to datetime.
        to_timedelta : Convert argument to timedelta.
        to_numeric : Convert argument to a numeric type.
        numpy.ndarray.astype : Cast a numpy array to a specified type.

        Examples
        --------
        Create a DataFrame:

        >>> d = {'col1': [1, 2], 'col2': [3, 4]}
        >>> df = pd.DataFrame(data=d)
        >>> df.dtypes
        col1    int64
        col2    int64
        dtype: object

        Cast all columns to int32:

        >>> df.astype('int32').dtypes
        col1    int32
        col2    int32
        dtype: object

        Cast col1 to int32 using a dictionary:

        >>> df.astype({'col1': 'int32'}).dtypes
        col1    int32
        col2    int64
        dtype: object

        Create a series:

        >>> ser = pd.Series([1, 2], dtype='int32')
        >>> ser
        0    1
        1    2
        dtype: int32
        >>> ser.astype('int64')
        0    1
        1    2
        dtype: int64

        Convert to categorical type:

        >>> ser.astype('category')
        0    1
        1    2
        dtype: category
        Categories (2, int64): [1, 2]

        Convert to ordered categorical type with custom ordering:

        >>> cat_dtype = pd.api.types.CategoricalDtype(
        ...     categories=[2, 1], ordered=True)
        >>> ser.astype(cat_dtype)
        0    1
        1    2
        dtype: category
        Categories (2, int64): [2 < 1]

        Note that using ``copy=False`` and changing data on a new
        pandas object may propagate changes:

        >>> s1 = pd.Series([1, 2])
        >>> s2 = s1.astype('int64', copy=False)
        >>> s2[0] = 10
        >>> s1  # note that s1[0] has changed too
        0    10
        1     2
        dtype: int64

        Create a series of dates:

        >>> ser_date = pd.Series(pd.date_range('20200101', periods=3))
        >>> ser_date
        0   2020-01-01
        1   2020-01-02
        2   2020-01-03
        dtype: datetime64[ns]

        Datetimes are localized to UTC first before
        converting to the specified timezone:

        >>> ser_date.astype('datetime64[ns, US/Eastern]')
        0   2019-12-31 19:00:00-05:00
        1   2020-01-01 19:00:00-05:00
        2   2020-01-02 19:00:00-05:00
        dtype: datetime64[ns, US/Eastern]
        """
        if is_dict_like(dtype):
            if self.ndim == 1:  # i.e. Series
                if len(dtype) > 1 or self.name not in dtype:
                    raise KeyError(
                        "Only the Series name can be used for "
                        "the key in Series dtype mappings."
                    )
                new_type = dtype[self.name]
                return self.astype(new_type, copy, errors)

            for col_name in dtype.keys():
                if col_name not in self:
                    raise KeyError(
                        "Only a column name can be used for the "
                        "key in a dtype mappings argument."
                    )
            results = []
            for col_name, col in self.items():
                if col_name in dtype:
                    results.append(
                        col.astype(dtype=dtype[col_name], copy=copy, errors=errors)
                    )
                else:
                    results.append(col.copy() if copy else col)

        elif is_extension_array_dtype(dtype) and self.ndim > 1:
            # GH 18099/22869: columnwise conversion to extension dtype
            # GH 24704: use iloc to handle duplicate column names
            results = [
                self.iloc[:, i].astype(dtype, copy=copy)
                for i in range(len(self.columns))
            ]

        else:
            # else, only a single dtype is given
            new_data = self._mgr.astype(dtype=dtype, copy=copy, errors=errors)
            return self._constructor(new_data).__finalize__(self, method="astype")

        # GH 33113: handle empty frame or series
        if not results:
            return self.copy()

        # GH 19920: retain column metadata after concat
        result = pd.concat(results, axis=1, copy=False)
        result.columns = self.columns
        return result

    def copy(self: FrameOrSeries, deep: bool_t = True) -> FrameOrSeries:
        """
        Make a copy of this object's indices and data.

        When ``deep=True`` (default), a new object will be created with a
        copy of the calling object's data and indices. Modifications to
        the data or indices of the copy will not be reflected in the
        original object (see notes below).

        When ``deep=False``, a new object will be created without copying
        the calling object's data or index (only references to the data
        and index are copied). Any changes to the data of the original
        will be reflected in the shallow copy (and vice versa).

        Parameters
        ----------
        deep : bool, default True
            Make a deep copy, including a copy of the data and the indices.
            With ``deep=False`` neither the indices nor the data are copied.

        Returns
        -------
        copy : Series or DataFrame
            Object type matches caller.

        Notes
        -----
        When ``deep=True``, data is copied but actual Python objects
        will not be copied recursively, only the reference to the object.
        This is in contrast to `copy.deepcopy` in the Standard Library,
        which recursively copies object data (see examples below).

        While ``Index`` objects are copied when ``deep=True``, the underlying
        numpy array is not copied for performance reasons. Since ``Index`` is
        immutable, the underlying data can be safely shared and a copy
        is not needed.

        Examples
        --------
        >>> s = pd.Series([1, 2], index=["a", "b"])
        >>> s
        a    1
        b    2
        dtype: int64

        >>> s_copy = s.copy()
        >>> s_copy
        a    1
        b    2
        dtype: int64

        **Shallow copy versus default (deep) copy:**

        >>> s = pd.Series([1, 2], index=["a", "b"])
        >>> deep = s.copy()
        >>> shallow = s.copy(deep=False)

        Shallow copy shares data and index with original.

        >>> s is shallow
        False
        >>> s.values is shallow.values and s.index is shallow.index
        True

        Deep copy has own copy of data and index.

        >>> s is deep
        False
        >>> s.values is deep.values or s.index is deep.index
        False

        Updates to the data shared by shallow copy and original is reflected
        in both; deep copy remains unchanged.

        >>> s[0] = 3
        >>> shallow[1] = 4
        >>> s
        a    3
        b    4
        dtype: int64
        >>> shallow
        a    3
        b    4
        dtype: int64
        >>> deep
        a    1
        b    2
        dtype: int64

        Note that when copying an object containing Python objects, a deep copy
        will copy the data, but will not do so recursively. Updating a nested
        data object will be reflected in the deep copy.

        >>> s = pd.Series([[1, 2], [3, 4]])
        >>> deep = s.copy()
        >>> s[0][0] = 10
        >>> s
        0    [10, 2]
        1     [3, 4]
        dtype: object
        >>> deep
        0    [10, 2]
        1     [3, 4]
        dtype: object
        """
        data = self._mgr.copy(deep=deep)
        self._clear_item_cache()
        return self._constructor(data).__finalize__(self, method="copy")

    def __copy__(self: FrameOrSeries, deep: bool_t = True) -> FrameOrSeries:
        return self.copy(deep=deep)

    def __deepcopy__(self: FrameOrSeries, memo=None) -> FrameOrSeries:
        """
        Parameters
        ----------
        memo, default None
            Standard signature. Unused
        """
        return self.copy(deep=True)

    def _convert(
        self: FrameOrSeries,
        datetime: bool_t = False,
        numeric: bool_t = False,
        timedelta: bool_t = False,
        coerce: bool_t = False,
    ) -> FrameOrSeries:
        """
        Attempt to infer better dtype for object columns

        Parameters
        ----------
        datetime : bool, default False
            If True, convert to date where possible.
        numeric : bool, default False
            If True, attempt to convert to numbers (including strings), with
            unconvertible values becoming NaN.
        timedelta : bool, default False
            If True, convert to timedelta where possible.
        coerce : bool, default False
            If True, force conversion with unconvertible values converted to
            nulls (NaN or NaT).

        Returns
        -------
        converted : same as input object
        """
        validate_bool_kwarg(datetime, "datetime")
        validate_bool_kwarg(numeric, "numeric")
        validate_bool_kwarg(timedelta, "timedelta")
        validate_bool_kwarg(coerce, "coerce")
        return self._constructor(
            self._mgr.convert(
                datetime=datetime,
                numeric=numeric,
                timedelta=timedelta,
                coerce=coerce,
                copy=True,
            )
        ).__finalize__(self)

    def infer_objects(self: FrameOrSeries) -> FrameOrSeries:
        """
        Attempt to infer better dtypes for object columns.

        Attempts soft conversion of object-dtyped
        columns, leaving non-object and unconvertible
        columns unchanged. The inference rules are the
        same as during normal Series/DataFrame construction.

        Returns
        -------
        converted : same type as input object

        See Also
        --------
        to_datetime : Convert argument to datetime.
        to_timedelta : Convert argument to timedelta.
        to_numeric : Convert argument to numeric type.
        convert_dtypes : Convert argument to best possible dtype.

        Examples
        --------
        >>> df = pd.DataFrame({"A": ["a", 1, 2, 3]})
        >>> df = df.iloc[1:]
        >>> df
           A
        1  1
        2  2
        3  3

        >>> df.dtypes
        A    object
        dtype: object

        >>> df.infer_objects().dtypes
        A    int64
        dtype: object
        """
        # numeric=False necessary to only soft convert;
        # python objects will still be converted to
        # native numpy numeric types
        return self._constructor(
            self._mgr.convert(
                datetime=True, numeric=False, timedelta=True, coerce=False, copy=True
            )
        ).__finalize__(self, method="infer_objects")

    def convert_dtypes(
        self: FrameOrSeries,
        infer_objects: bool_t = True,
        convert_string: bool_t = True,
        convert_integer: bool_t = True,
        convert_boolean: bool_t = True,
    ) -> FrameOrSeries:
        """
        Convert columns to best possible dtypes using dtypes supporting ``pd.NA``.

        .. versionadded:: 1.0.0

        Parameters
        ----------
        infer_objects : bool, default True
            Whether object dtypes should be converted to the best possible types.
        convert_string : bool, default True
            Whether object dtypes should be converted to ``StringDtype()``.
        convert_integer : bool, default True
            Whether, if possible, conversion can be done to integer extension types.
        convert_boolean : bool, defaults True
            Whether object dtypes should be converted to ``BooleanDtypes()``.

        Returns
        -------
        Series or DataFrame
            Copy of input object with new dtype.

        See Also
        --------
        infer_objects : Infer dtypes of objects.
        to_datetime : Convert argument to datetime.
        to_timedelta : Convert argument to timedelta.
        to_numeric : Convert argument to a numeric type.

        Notes
        -----
        By default, ``convert_dtypes`` will attempt to convert a Series (or each
        Series in a DataFrame) to dtypes that support ``pd.NA``. By using the options
        ``convert_string``, ``convert_integer``, and ``convert_boolean``, it is
        possible to turn off individual conversions to ``StringDtype``, the integer
        extension types or ``BooleanDtype``, respectively.

        For object-dtyped columns, if ``infer_objects`` is ``True``, use the inference
        rules as during normal Series/DataFrame construction.  Then, if possible,
        convert to ``StringDtype``, ``BooleanDtype`` or an appropriate integer extension
        type, otherwise leave as ``object``.

        If the dtype is integer, convert to an appropriate integer extension type.

        If the dtype is numeric, and consists of all integers, convert to an
        appropriate integer extension type.

        In the future, as new dtypes are added that support ``pd.NA``, the results
        of this method will change to support those new dtypes.

        Examples
        --------
        >>> df = pd.DataFrame(
        ...     {
        ...         "a": pd.Series([1, 2, 3], dtype=np.dtype("int32")),
        ...         "b": pd.Series(["x", "y", "z"], dtype=np.dtype("O")),
        ...         "c": pd.Series([True, False, np.nan], dtype=np.dtype("O")),
        ...         "d": pd.Series(["h", "i", np.nan], dtype=np.dtype("O")),
        ...         "e": pd.Series([10, np.nan, 20], dtype=np.dtype("float")),
        ...         "f": pd.Series([np.nan, 100.5, 200], dtype=np.dtype("float")),
        ...     }
        ... )

        Start with a DataFrame with default dtypes.

        >>> df
           a  b      c    d     e      f
        0  1  x   True    h  10.0    NaN
        1  2  y  False    i   NaN  100.5
        2  3  z    NaN  NaN  20.0  200.0

        >>> df.dtypes
        a      int32
        b     object
        c     object
        d     object
        e    float64
        f    float64
        dtype: object

        Convert the DataFrame to use best possible dtypes.

        >>> dfn = df.convert_dtypes()
        >>> dfn
           a  b      c     d     e      f
        0  1  x   True     h    10    NaN
        1  2  y  False     i  <NA>  100.5
        2  3  z   <NA>  <NA>    20  200.0

        >>> dfn.dtypes
        a      Int32
        b     string
        c    boolean
        d     string
        e      Int64
        f    float64
        dtype: object

        Start with a Series of strings and missing data represented by ``np.nan``.

        >>> s = pd.Series(["a", "b", np.nan])
        >>> s
        0      a
        1      b
        2    NaN
        dtype: object

        Obtain a Series with dtype ``StringDtype``.

        >>> s.convert_dtypes()
        0       a
        1       b
        2    <NA>
        dtype: string
        """
        if self.ndim == 1:
            return self._convert_dtypes(
                infer_objects, convert_string, convert_integer, convert_boolean
            )
        else:
            results = [
                col._convert_dtypes(
                    infer_objects, convert_string, convert_integer, convert_boolean
                )
                for col_name, col in self.items()
            ]
            result = pd.concat(results, axis=1, copy=False)
            return result

    # ----------------------------------------------------------------------
    # Filling NA's

    @doc(**_shared_doc_kwargs)
    def fillna(
        self: FrameOrSeries,
        value=None,
        method=None,
        axis=None,
        inplace: bool_t = False,
        limit=None,
        downcast=None,
    ) -> Optional[FrameOrSeries]:
        """
        Fill NA/NaN values using the specified method.

        Parameters
        ----------
        value : scalar, dict, Series, or DataFrame
            Value to use to fill holes (e.g. 0), alternately a
            dict/Series/DataFrame of values specifying which value to use for
            each index (for a Series) or column (for a DataFrame).  Values not
            in the dict/Series/DataFrame will not be filled. This value cannot
            be a list.
        method : {{'backfill', 'bfill', 'pad', 'ffill', None}}, default None
            Method to use for filling holes in reindexed Series
            pad / ffill: propagate last valid observation forward to next valid
            backfill / bfill: use next valid observation to fill gap.
        axis : {axes_single_arg}
            Axis along which to fill missing values.
        inplace : bool, default False
            If True, fill in-place. Note: this will modify any
            other views on this object (e.g., a no-copy slice for a column in a
            DataFrame).
        limit : int, default None
            If method is specified, this is the maximum number of consecutive
            NaN values to forward/backward fill. In other words, if there is
            a gap with more than this number of consecutive NaNs, it will only
            be partially filled. If method is not specified, this is the
            maximum number of entries along the entire axis where NaNs will be
            filled. Must be greater than 0 if not None.
        downcast : dict, default is None
            A dict of item->dtype of what to downcast if possible,
            or the string 'infer' which will try to downcast to an appropriate
            equal type (e.g. float64 to int64 if possible).

        Returns
        -------
        {klass} or None
            Object with missing values filled or None if ``inplace=True``.

        See Also
        --------
        interpolate : Fill NaN values using interpolation.
        reindex : Conform object to new index.
        asfreq : Convert TimeSeries to specified frequency.

        Examples
        --------
        >>> df = pd.DataFrame([[np.nan, 2, np.nan, 0],
        ...                    [3, 4, np.nan, 1],
        ...                    [np.nan, np.nan, np.nan, 5],
        ...                    [np.nan, 3, np.nan, 4]],
        ...                   columns=list('ABCD'))
        >>> df
             A    B   C  D
        0  NaN  2.0 NaN  0
        1  3.0  4.0 NaN  1
        2  NaN  NaN NaN  5
        3  NaN  3.0 NaN  4

        Replace all NaN elements with 0s.

        >>> df.fillna(0)
            A   B   C   D
        0   0.0 2.0 0.0 0
        1   3.0 4.0 0.0 1
        2   0.0 0.0 0.0 5
        3   0.0 3.0 0.0 4

        We can also propagate non-null values forward or backward.

        >>> df.fillna(method='ffill')
            A   B   C   D
        0   NaN 2.0 NaN 0
        1   3.0 4.0 NaN 1
        2   3.0 4.0 NaN 5
        3   3.0 3.0 NaN 4

        Replace all NaN elements in column 'A', 'B', 'C', and 'D', with 0, 1,
        2, and 3 respectively.

        >>> values = {{'A': 0, 'B': 1, 'C': 2, 'D': 3}}
        >>> df.fillna(value=values)
            A   B   C   D
        0   0.0 2.0 2.0 0
        1   3.0 4.0 2.0 1
        2   0.0 1.0 2.0 5
        3   0.0 3.0 2.0 4

        Only replace the first NaN element.

        >>> df.fillna(value=values, limit=1)
            A   B   C   D
        0   0.0 2.0 2.0 0
        1   3.0 4.0 NaN 1
        2   NaN 1.0 NaN 5
        3   NaN 3.0 NaN 4
        """
        inplace = validate_bool_kwarg(inplace, "inplace")
        value, method = validate_fillna_kwargs(value, method)

        # set the default here, so functions examining the signaure
        # can detect if something was set (e.g. in groupby) (GH9221)
        if axis is None:
            axis = 0
        axis = self._get_axis_number(axis)

        if value is None:

            if self._is_mixed_type and axis == 1:
                if inplace:
                    raise NotImplementedError()
                result = self.T.fillna(method=method, limit=limit).T

                # need to downcast here because of all of the transposes
                result._mgr = result._mgr.downcast()

                return result

            new_data = self._mgr.interpolate(
                method=method,
                axis=axis,
                limit=limit,
                inplace=inplace,
                coerce=True,
                downcast=downcast,
            )
        else:
            if self.ndim == 1:
                if isinstance(value, (dict, ABCSeries)):
                    value = create_series_with_explicit_dtype(
                        value, dtype_if_empty=object
                    )
                    value = value.reindex(self.index, copy=False)
                    value = value._values
                elif not is_list_like(value):
                    pass
                else:
                    raise TypeError(
                        '"value" parameter must be a scalar, dict '
                        "or Series, but you passed a "
                        f'"{type(value).__name__}"'
                    )

                new_data = self._mgr.fillna(
                    value=value, limit=limit, inplace=inplace, downcast=downcast
                )

            elif isinstance(value, (dict, ABCSeries)):
                if axis == 1:
                    raise NotImplementedError(
                        "Currently only can fill "
                        "with dict/Series column "
                        "by column"
                    )

                result = self if inplace else self.copy()
                for k, v in value.items():
                    if k not in result:
                        continue
                    obj = result[k]
                    obj.fillna(v, limit=limit, inplace=True, downcast=downcast)
                return result if not inplace else None

            elif not is_list_like(value):
                new_data = self._mgr.fillna(
                    value=value, limit=limit, inplace=inplace, downcast=downcast
                )
            elif isinstance(value, ABCDataFrame) and self.ndim == 2:
                new_data = self.where(self.notna(), value)._data
            else:
                raise ValueError(f"invalid fill value with a {type(value)}")

        result = self._constructor(new_data)
        if inplace:
            return self._update_inplace(result)
        else:
            return result.__finalize__(self, method="fillna")

    def ffill(
        self: FrameOrSeries,
        axis=None,
        inplace: bool_t = False,
        limit=None,
        downcast=None,
    ) -> Optional[FrameOrSeries]:
        """
        Synonym for :meth:`DataFrame.fillna` with ``method='ffill'``.

        Returns
        -------
        {klass} or None
            Object with missing values filled or None if ``inplace=True``.
        """
        return self.fillna(
            method="ffill", axis=axis, inplace=inplace, limit=limit, downcast=downcast
        )

    pad = ffill

    def bfill(
        self: FrameOrSeries,
        axis=None,
        inplace: bool_t = False,
        limit=None,
        downcast=None,
    ) -> Optional[FrameOrSeries]:
        """
        Synonym for :meth:`DataFrame.fillna` with ``method='bfill'``.

        Returns
        -------
        {klass} or None
            Object with missing values filled or None if ``inplace=True``.
        """
        return self.fillna(
            method="bfill", axis=axis, inplace=inplace, limit=limit, downcast=downcast
        )

    backfill = bfill

    @doc(klass=_shared_doc_kwargs["klass"])
    def replace(
        self,
        to_replace=None,
        value=None,
        inplace: bool_t = False,
        limit: Optional[int] = None,
        regex=False,
        method="pad",
    ):
        """
        Replace values given in `to_replace` with `value`.

        Values of the {klass} are replaced with other values dynamically.
        This differs from updating with ``.loc`` or ``.iloc``, which require
        you to specify a location to update with some value.

        Parameters
        ----------
        to_replace : str, regex, list, dict, Series, int, float, or None
            How to find the values that will be replaced.

            * numeric, str or regex:

                - numeric: numeric values equal to `to_replace` will be
                  replaced with `value`
                - str: string exactly matching `to_replace` will be replaced
                  with `value`
                - regex: regexs matching `to_replace` will be replaced with
                  `value`

            * list of str, regex, or numeric:

                - First, if `to_replace` and `value` are both lists, they
                  **must** be the same length.
                - Second, if ``regex=True`` then all of the strings in **both**
                  lists will be interpreted as regexs otherwise they will match
                  directly. This doesn't matter much for `value` since there
                  are only a few possible substitution regexes you can use.
                - str, regex and numeric rules apply as above.

            * dict:

                - Dicts can be used to specify different replacement values
                  for different existing values. For example,
                  ``{{'a': 'b', 'y': 'z'}}`` replaces the value 'a' with 'b' and
                  'y' with 'z'. To use a dict in this way the `value`
                  parameter should be `None`.
                - For a DataFrame a dict can specify that different values
                  should be replaced in different columns. For example,
                  ``{{'a': 1, 'b': 'z'}}`` looks for the value 1 in column 'a'
                  and the value 'z' in column 'b' and replaces these values
                  with whatever is specified in `value`. The `value` parameter
                  should not be ``None`` in this case. You can treat this as a
                  special case of passing two lists except that you are
                  specifying the column to search in.
                - For a DataFrame nested dictionaries, e.g.,
                  ``{{'a': {{'b': np.nan}}}}``, are read as follows: look in column
                  'a' for the value 'b' and replace it with NaN. The `value`
                  parameter should be ``None`` to use a nested dict in this
                  way. You can nest regular expressions as well. Note that
                  column names (the top-level dictionary keys in a nested
                  dictionary) **cannot** be regular expressions.

            * None:

                - This means that the `regex` argument must be a string,
                  compiled regular expression, or list, dict, ndarray or
                  Series of such elements. If `value` is also ``None`` then
                  this **must** be a nested dictionary or Series.

            See the examples section for examples of each of these.
        value : scalar, dict, list, str, regex, default None
            Value to replace any values matching `to_replace` with.
            For a DataFrame a dict of values can be used to specify which
            value to use for each column (columns not in the dict will not be
            filled). Regular expressions, strings and lists or dicts of such
            objects are also allowed.
        inplace : bool, default False
            If True, in place. Note: this will modify any
            other views on this object (e.g. a column from a DataFrame).
            Returns the caller if this is True.
        limit : int or None, default None
            Maximum size gap to forward or backward fill.
        regex : bool or same types as `to_replace`, default False
            Whether to interpret `to_replace` and/or `value` as regular
            expressions. If this is ``True`` then `to_replace` *must* be a
            string. Alternatively, this could be a regular expression or a
            list, dict, or array of regular expressions in which case
            `to_replace` must be ``None``.
        method : {{'pad', 'ffill', 'bfill', `None`}}
            The method to use when for replacement, when `to_replace` is a
            scalar, list or tuple and `value` is ``None``.

        Returns
        -------
        {klass}
            Object after replacement.

        Raises
        ------
        AssertionError
            * If `regex` is not a ``bool`` and `to_replace` is not
              ``None``.

        TypeError
            * If `to_replace` is not a scalar, array-like, ``dict``, or ``None``
            * If `to_replace` is a ``dict`` and `value` is not a ``list``,
              ``dict``, ``ndarray``, or ``Series``
            * If `to_replace` is ``None`` and `regex` is not compilable
              into a regular expression or is a list, dict, ndarray, or
              Series.
            * When replacing multiple ``bool`` or ``datetime64`` objects and
              the arguments to `to_replace` does not match the type of the
              value being replaced

        ValueError
            * If a ``list`` or an ``ndarray`` is passed to `to_replace` and
              `value` but they are not the same length.

        See Also
        --------
        {klass}.fillna : Fill NA values.
        {klass}.where : Replace values based on boolean condition.
        Series.str.replace : Simple string replacement.

        Notes
        -----
        * Regex substitution is performed under the hood with ``re.sub``. The
          rules for substitution for ``re.sub`` are the same.
        * Regular expressions will only substitute on strings, meaning you
          cannot provide, for example, a regular expression matching floating
          point numbers and expect the columns in your frame that have a
          numeric dtype to be matched. However, if those floating point
          numbers *are* strings, then you can do this.
        * This method has *a lot* of options. You are encouraged to experiment
          and play with this method to gain intuition about how it works.
        * When dict is used as the `to_replace` value, it is like
          key(s) in the dict are the to_replace part and
          value(s) in the dict are the value parameter.

        Examples
        --------

        **Scalar `to_replace` and `value`**

        >>> s = pd.Series([0, 1, 2, 3, 4])
        >>> s.replace(0, 5)
        0    5
        1    1
        2    2
        3    3
        4    4
        dtype: int64

        >>> df = pd.DataFrame({{'A': [0, 1, 2, 3, 4],
        ...                    'B': [5, 6, 7, 8, 9],
        ...                    'C': ['a', 'b', 'c', 'd', 'e']}})
        >>> df.replace(0, 5)
           A  B  C
        0  5  5  a
        1  1  6  b
        2  2  7  c
        3  3  8  d
        4  4  9  e

        **List-like `to_replace`**

        >>> df.replace([0, 1, 2, 3], 4)
           A  B  C
        0  4  5  a
        1  4  6  b
        2  4  7  c
        3  4  8  d
        4  4  9  e

        >>> df.replace([0, 1, 2, 3], [4, 3, 2, 1])
           A  B  C
        0  4  5  a
        1  3  6  b
        2  2  7  c
        3  1  8  d
        4  4  9  e

        >>> s.replace([1, 2], method='bfill')
        0    0
        1    3
        2    3
        3    3
        4    4
        dtype: int64

        **dict-like `to_replace`**

        >>> df.replace({{0: 10, 1: 100}})
             A  B  C
        0   10  5  a
        1  100  6  b
        2    2  7  c
        3    3  8  d
        4    4  9  e

        >>> df.replace({{'A': 0, 'B': 5}}, 100)
             A    B  C
        0  100  100  a
        1    1    6  b
        2    2    7  c
        3    3    8  d
        4    4    9  e

        >>> df.replace({{'A': {{0: 100, 4: 400}}}})
             A  B  C
        0  100  5  a
        1    1  6  b
        2    2  7  c
        3    3  8  d
        4  400  9  e

        **Regular expression `to_replace`**

        >>> df = pd.DataFrame({{'A': ['bat', 'foo', 'bait'],
        ...                    'B': ['abc', 'bar', 'xyz']}})
        >>> df.replace(to_replace=r'^ba.$', value='new', regex=True)
              A    B
        0   new  abc
        1   foo  new
        2  bait  xyz

        >>> df.replace({{'A': r'^ba.$'}}, {{'A': 'new'}}, regex=True)
              A    B
        0   new  abc
        1   foo  bar
        2  bait  xyz

        >>> df.replace(regex=r'^ba.$', value='new')
              A    B
        0   new  abc
        1   foo  new
        2  bait  xyz

        >>> df.replace(regex={{r'^ba.$': 'new', 'foo': 'xyz'}})
              A    B
        0   new  abc
        1   xyz  new
        2  bait  xyz

        >>> df.replace(regex=[r'^ba.$', 'foo'], value='new')
              A    B
        0   new  abc
        1   new  new
        2  bait  xyz

        Compare the behavior of ``s.replace({{'a': None}})`` and
        ``s.replace('a', None)`` to understand the peculiarities
        of the `to_replace` parameter:

        >>> s = pd.Series([10, 'a', 'a', 'b', 'a'])

        When one uses a dict as the `to_replace` value, it is like the
        value(s) in the dict are equal to the `value` parameter.
        ``s.replace({{'a': None}})`` is equivalent to
        ``s.replace(to_replace={{'a': None}}, value=None, method=None)``:

        >>> s.replace({{'a': None}})
        0      10
        1    None
        2    None
        3       b
        4    None
        dtype: object

        When ``value=None`` and `to_replace` is a scalar, list or
        tuple, `replace` uses the method parameter (default 'pad') to do the
        replacement. So this is why the 'a' values are being replaced by 10
        in rows 1 and 2 and 'b' in row 4 in this case.
        The command ``s.replace('a', None)`` is actually equivalent to
        ``s.replace(to_replace='a', value=None, method='pad')``:

        >>> s.replace('a', None)
        0    10
        1    10
        2    10
        3     b
        4     b
        dtype: object
        """
        if not (
            is_scalar(to_replace)
            or is_re_compilable(to_replace)
            or is_list_like(to_replace)
        ):
            raise TypeError(
                "Expecting 'to_replace' to be either a scalar, array-like, "
                "dict or None, got invalid type "
                f"{repr(type(to_replace).__name__)}"
            )

        inplace = validate_bool_kwarg(inplace, "inplace")
        if not is_bool(regex) and to_replace is not None:
            raise ValueError("'to_replace' must be 'None' if 'regex' is not a bool")

        if value is None:
            # passing a single value that is scalar like
            # when value is None (GH5319), for compat
            if not is_dict_like(to_replace) and not is_dict_like(regex):
                to_replace = [to_replace]

            if isinstance(to_replace, (tuple, list)):
                if isinstance(self, ABCDataFrame):
                    return self.apply(
                        _single_replace, args=(to_replace, method, inplace, limit)
                    )
                return _single_replace(self, to_replace, method, inplace, limit)

            if not is_dict_like(to_replace):
                if not is_dict_like(regex):
                    raise TypeError(
                        'If "to_replace" and "value" are both None '
                        'and "to_replace" is not a list, then '
                        "regex must be a mapping"
                    )
                to_replace = regex
                regex = True

            items = list(to_replace.items())
            if items:
                keys, values = zip(*items)
            else:
                keys, values = ([], [])

            are_mappings = [is_dict_like(v) for v in values]

            if any(are_mappings):
                if not all(are_mappings):
                    raise TypeError(
                        "If a nested mapping is passed, all values "
                        "of the top level mapping must be mappings"
                    )
                # passed a nested dict/Series
                to_rep_dict = {}
                value_dict = {}

                for k, v in items:
                    keys, values = list(zip(*v.items())) or ([], [])

                    to_rep_dict[k] = list(keys)
                    value_dict[k] = list(values)

                to_replace, value = to_rep_dict, value_dict
            else:
                to_replace, value = keys, values

            return self.replace(
                to_replace, value, inplace=inplace, limit=limit, regex=regex
            )
        else:

            # need a non-zero len on all axes
            if not self.size:
                if inplace:
                    return
                return self.copy()

            if is_dict_like(to_replace):
                if is_dict_like(value):  # {'A' : NA} -> {'A' : 0}
                    # Note: Checking below for `in foo.keys()` instead of
                    #  `in foo` is needed for when we have a Series and not dict
                    mapping = {
                        col: (to_replace[col], value[col])
                        for col in to_replace.keys()
                        if col in value.keys() and col in self
                    }
                    return self._replace_columnwise(mapping, inplace, regex)

                # {'A': NA} -> 0
                elif not is_list_like(value):
                    # Operate column-wise
                    if self.ndim == 1:
                        raise ValueError(
                            "Series.replace cannot use dict-like to_replace "
                            "and non-None value"
                        )
                    mapping = {
                        col: (to_rep, value) for col, to_rep in to_replace.items()
                    }
                    return self._replace_columnwise(mapping, inplace, regex)
                else:
                    raise TypeError("value argument must be scalar, dict, or Series")

            elif is_list_like(to_replace):  # [NA, ''] -> [0, 'missing']
                if is_list_like(value):
                    if len(to_replace) != len(value):
                        raise ValueError(
                            f"Replacement lists must match in length. "
                            f"Expecting {len(to_replace)} got {len(value)} "
                        )
                    self._consolidate_inplace()
                    new_data = self._mgr.replace_list(
                        src_list=to_replace,
                        dest_list=value,
                        inplace=inplace,
                        regex=regex,
                    )

                else:  # [NA, ''] -> 0
                    new_data = self._mgr.replace(
                        to_replace=to_replace, value=value, inplace=inplace, regex=regex
                    )
            elif to_replace is None:
                if not (
                    is_re_compilable(regex)
                    or is_list_like(regex)
                    or is_dict_like(regex)
                ):
                    raise TypeError(
                        f"'regex' must be a string or a compiled regular expression "
                        f"or a list or dict of strings or regular expressions, "
                        f"you passed a {repr(type(regex).__name__)}"
                    )
                return self.replace(
                    regex, value, inplace=inplace, limit=limit, regex=True
                )
            else:

                # dest iterable dict-like
                if is_dict_like(value):  # NA -> {'A' : 0, 'B' : -1}
                    # Operate column-wise
                    if self.ndim == 1:
                        raise ValueError(
                            "Series.replace cannot use dict-value and "
                            "non-None to_replace"
                        )
                    mapping = {col: (to_replace, val) for col, val in value.items()}
                    return self._replace_columnwise(mapping, inplace, regex)

                elif not is_list_like(value):  # NA -> 0
                    new_data = self._mgr.replace(
                        to_replace=to_replace, value=value, inplace=inplace, regex=regex
                    )
                else:
                    raise TypeError(
                        f'Invalid "to_replace" type: {repr(type(to_replace).__name__)}'
                    )

        result = self._constructor(new_data)
        if inplace:
            return self._update_inplace(result)
        else:
            return result.__finalize__(self, method="replace")

    def interpolate(
        self: FrameOrSeries,
        method: str = "linear",
        axis: Axis = 0,
        limit: Optional[int] = None,
        inplace: bool_t = False,
        limit_direction: Optional[str] = None,
        limit_area: Optional[str] = None,
        downcast: Optional[str] = None,
        **kwargs,
    ) -> Optional[FrameOrSeries]:
        """
        Please note that only ``method='linear'`` is supported for
        DataFrame/Series with a MultiIndex.

        Parameters
        ----------
        method : str, default 'linear'
            Interpolation technique to use. One of:

            * 'linear': Ignore the index and treat the values as equally
              spaced. This is the only method supported on MultiIndexes.
            * 'time': Works on daily and higher resolution data to interpolate
              given length of interval.
            * 'index', 'values': use the actual numerical values of the index.
            * 'pad': Fill in NaNs using existing values.
            * 'nearest', 'zero', 'slinear', 'quadratic', 'cubic', 'spline',
              'barycentric', 'polynomial': Passed to
              `scipy.interpolate.interp1d`. These methods use the numerical
              values of the index.  Both 'polynomial' and 'spline' require that
              you also specify an `order` (int), e.g.
              ``df.interpolate(method='polynomial', order=5)``.
            * 'krogh', 'piecewise_polynomial', 'spline', 'pchip', 'akima',
              'cubicspline': Wrappers around the SciPy interpolation methods of
              similar names. See `Notes`.
            * 'from_derivatives': Refers to
              `scipy.interpolate.BPoly.from_derivatives` which
              replaces 'piecewise_polynomial' interpolation method in
              scipy 0.18.

        axis : {{0 or 'index', 1 or 'columns', None}}, default None
            Axis to interpolate along.
        limit : int, optional
            Maximum number of consecutive NaNs to fill. Must be greater than
            0.
        inplace : bool, default False
            Update the data in place if possible.
        limit_direction : {{'forward', 'backward', 'both'}}, Optional
            Consecutive NaNs will be filled in this direction.

            If limit is specified:
                * If 'method' is 'pad' or 'ffill', 'limit_direction' must be 'forward'.
                * If 'method' is 'backfill' or 'bfill', 'limit_direction' must be
                  'backwards'.

            If 'limit' is not specified:
                * If 'method' is 'backfill' or 'bfill', the default is 'backward'
                * else the default is 'forward'

            .. versionchanged:: 1.1.0
                raises ValueError if `limit_direction` is 'forward' or 'both' and
                    method is 'backfill' or 'bfill'.
                raises ValueError if `limit_direction` is 'backward' or 'both' and
                    method is 'pad' or 'ffill'.

        limit_area : {{`None`, 'inside', 'outside'}}, default None
            If limit is specified, consecutive NaNs will be filled with this
            restriction.

            * ``None``: No fill restriction.
            * 'inside': Only fill NaNs surrounded by valid values
              (interpolate).
            * 'outside': Only fill NaNs outside valid values (extrapolate).

        downcast : optional, 'infer' or None, defaults to None
            Downcast dtypes if possible.
        ``**kwargs`` : optional
            Keyword arguments to pass on to the interpolating function.

        Returns
        -------
        Series or DataFrame
            Returns the same object type as the caller, interpolated at
            some or all ``NaN`` values.

        See Also
        --------
        fillna : Fill missing values using different methods.
        scipy.interpolate.Akima1DInterpolator : Piecewise cubic polynomials
            (Akima interpolator).
        scipy.interpolate.BPoly.from_derivatives : Piecewise polynomial in the
            Bernstein basis.
        scipy.interpolate.interp1d : Interpolate a 1-D function.
        scipy.interpolate.KroghInterpolator : Interpolate polynomial (Krogh
            interpolator).
        scipy.interpolate.PchipInterpolator : PCHIP 1-d monotonic cubic
            interpolation.
        scipy.interpolate.CubicSpline : Cubic spline data interpolator.

        Notes
        -----
        The 'krogh', 'piecewise_polynomial', 'spline', 'pchip' and 'akima'
        methods are wrappers around the respective SciPy implementations of
        similar names. These use the actual numerical values of the index.
        For more information on their behavior, see the
        `SciPy documentation
        <https://docs.scipy.org/doc/scipy/reference/interpolate.html#univariate-interpolation>`__
        and `SciPy tutorial
        <https://docs.scipy.org/doc/scipy/reference/tutorial/interpolate.html>`__.

        Examples
        --------
        Filling in ``NaN`` in a :class:`~pandas.Series` via linear
        interpolation.

        >>> s = pd.Series([0, 1, np.nan, 3])
        >>> s
        0    0.0
        1    1.0
        2    NaN
        3    3.0
        dtype: float64
        >>> s.interpolate()
        0    0.0
        1    1.0
        2    2.0
        3    3.0
        dtype: float64

        Filling in ``NaN`` in a Series by padding, but filling at most two
        consecutive ``NaN`` at a time.

        >>> s = pd.Series([np.nan, "single_one", np.nan,
        ...                "fill_two_more", np.nan, np.nan, np.nan,
        ...                4.71, np.nan])
        >>> s
        0              NaN
        1       single_one
        2              NaN
        3    fill_two_more
        4              NaN
        5              NaN
        6              NaN
        7             4.71
        8              NaN
        dtype: object
        >>> s.interpolate(method='pad', limit=2)
        0              NaN
        1       single_one
        2       single_one
        3    fill_two_more
        4    fill_two_more
        5    fill_two_more
        6              NaN
        7             4.71
        8             4.71
        dtype: object

        Filling in ``NaN`` in a Series via polynomial interpolation or splines:
        Both 'polynomial' and 'spline' methods require that you also specify
        an ``order`` (int).

        >>> s = pd.Series([0, 2, np.nan, 8])
        >>> s.interpolate(method='polynomial', order=2)
        0    0.000000
        1    2.000000
        2    4.666667
        3    8.000000
        dtype: float64

        Fill the DataFrame forward (that is, going down) along each column
        using linear interpolation.

        Note how the last entry in column 'a' is interpolated differently,
        because there is no entry after it to use for interpolation.
        Note how the first entry in column 'b' remains ``NaN``, because there
        is no entry before it to use for interpolation.

        >>> df = pd.DataFrame([(0.0, np.nan, -1.0, 1.0),
        ...                    (np.nan, 2.0, np.nan, np.nan),
        ...                    (2.0, 3.0, np.nan, 9.0),
        ...                    (np.nan, 4.0, -4.0, 16.0)],
        ...                   columns=list('abcd'))
        >>> df
             a    b    c     d
        0  0.0  NaN -1.0   1.0
        1  NaN  2.0  NaN   NaN
        2  2.0  3.0  NaN   9.0
        3  NaN  4.0 -4.0  16.0
        >>> df.interpolate(method='linear', limit_direction='forward', axis=0)
             a    b    c     d
        0  0.0  NaN -1.0   1.0
        1  1.0  2.0 -2.0   5.0
        2  2.0  3.0 -3.0   9.0
        3  2.0  4.0 -4.0  16.0

        Using polynomial interpolation.

        >>> df['d'].interpolate(method='polynomial', order=2)
        0     1.0
        1     4.0
        2     9.0
        3    16.0
        Name: d, dtype: float64
        """
        inplace = validate_bool_kwarg(inplace, "inplace")

        axis = self._get_axis_number(axis)

        fillna_methods = ["ffill", "bfill", "pad", "backfill"]
        should_transpose = axis == 1 and method not in fillna_methods

        obj = self.T if should_transpose else self

        if obj.empty:
            return self.copy()

        if method not in fillna_methods:
            axis = self._info_axis_number

        if isinstance(obj.index, MultiIndex) and method != "linear":
            raise ValueError(
                "Only `method=linear` interpolation is supported on MultiIndexes."
            )

        # Set `limit_direction` depending on `method`
        if limit_direction is None:
            limit_direction = (
                "backward" if method in ("backfill", "bfill") else "forward"
            )
        else:
            if method in ("pad", "ffill") and limit_direction != "forward":
                raise ValueError(
                    f"`limit_direction` must be 'forward' for method `{method}`"
                )
            if method in ("backfill", "bfill") and limit_direction != "backward":
                raise ValueError(
                    f"`limit_direction` must be 'backward' for method `{method}`"
                )

        if obj.ndim == 2 and np.all(obj.dtypes == np.dtype(object)):
            raise TypeError(
                "Cannot interpolate with all object-dtype columns "
                "in the DataFrame. Try setting at least one "
                "column to a numeric dtype."
            )

        # create/use the index
        if method == "linear":
            # prior default
            index = np.arange(len(obj.index))
        else:
            index = obj.index
            methods = {"index", "values", "nearest", "time"}
            is_numeric_or_datetime = (
                is_numeric_dtype(index.dtype)
                or is_datetime64_any_dtype(index.dtype)
                or is_timedelta64_dtype(index.dtype)
            )
            if method not in methods and not is_numeric_or_datetime:
                raise ValueError(
                    "Index column must be numeric or datetime type when "
                    f"using {method} method other than linear. "
                    "Try setting a numeric or datetime index column before "
                    "interpolating."
                )

        if isna(index).any():
            raise NotImplementedError(
                "Interpolation with NaNs in the index "
                "has not been implemented. Try filling "
                "those NaNs before interpolating."
            )
        new_data = obj._mgr.interpolate(
            method=method,
            axis=axis,
            index=index,
            limit=limit,
            limit_direction=limit_direction,
            limit_area=limit_area,
            inplace=inplace,
            downcast=downcast,
            **kwargs,
        )

        result = self._constructor(new_data)
        if should_transpose:
            result = result.T
        if inplace:
            return self._update_inplace(result)
        else:
            return result.__finalize__(self, method="interpolate")

    # ----------------------------------------------------------------------
    # Timeseries methods Methods

    def asof(self, where, subset=None):
        """
        Return the last row(s) without any NaNs before `where`.

        The last row (for each element in `where`, if list) without any
        NaN is taken.
        In case of a :class:`~pandas.DataFrame`, the last row without NaN
        considering only the subset of columns (if not `None`)

        If there is no good value, NaN is returned for a Series or
        a Series of NaN values for a DataFrame

        Parameters
        ----------
        where : date or array-like of dates
            Date(s) before which the last row(s) are returned.
        subset : str or array-like of str, default `None`
            For DataFrame, if not `None`, only use these columns to
            check for NaNs.

        Returns
        -------
        scalar, Series, or DataFrame

            The return can be:

            * scalar : when `self` is a Series and `where` is a scalar
            * Series: when `self` is a Series and `where` is an array-like,
              or when `self` is a DataFrame and `where` is a scalar
            * DataFrame : when `self` is a DataFrame and `where` is an
              array-like

            Return scalar, Series, or DataFrame.

        See Also
        --------
        merge_asof : Perform an asof merge. Similar to left join.

        Notes
        -----
        Dates are assumed to be sorted. Raises if this is not the case.

        Examples
        --------
        A Series and a scalar `where`.

        >>> s = pd.Series([1, 2, np.nan, 4], index=[10, 20, 30, 40])
        >>> s
        10    1.0
        20    2.0
        30    NaN
        40    4.0
        dtype: float64

        >>> s.asof(20)
        2.0

        For a sequence `where`, a Series is returned. The first value is
        NaN, because the first element of `where` is before the first
        index value.

        >>> s.asof([5, 20])
        5     NaN
        20    2.0
        dtype: float64

        Missing values are not considered. The following is ``2.0``, not
        NaN, even though NaN is at the index location for ``30``.

        >>> s.asof(30)
        2.0

        Take all columns into consideration

        >>> df = pd.DataFrame({'a': [10, 20, 30, 40, 50],
        ...                    'b': [None, None, None, None, 500]},
        ...                   index=pd.DatetimeIndex(['2018-02-27 09:01:00',
        ...                                           '2018-02-27 09:02:00',
        ...                                           '2018-02-27 09:03:00',
        ...                                           '2018-02-27 09:04:00',
        ...                                           '2018-02-27 09:05:00']))
        >>> df.asof(pd.DatetimeIndex(['2018-02-27 09:03:30',
        ...                           '2018-02-27 09:04:30']))
                              a   b
        2018-02-27 09:03:30 NaN NaN
        2018-02-27 09:04:30 NaN NaN

        Take a single column into consideration

        >>> df.asof(pd.DatetimeIndex(['2018-02-27 09:03:30',
        ...                           '2018-02-27 09:04:30']),
        ...         subset=['a'])
                                 a   b
        2018-02-27 09:03:30   30.0 NaN
        2018-02-27 09:04:30   40.0 NaN
        """
        if isinstance(where, str):
            where = Timestamp(where)

        if not self.index.is_monotonic:
            raise ValueError("asof requires a sorted index")

        is_series = isinstance(self, ABCSeries)
        if is_series:
            if subset is not None:
                raise ValueError("subset is not valid for Series")
        else:
            if subset is None:
                subset = self.columns
            if not is_list_like(subset):
                subset = [subset]

        is_list = is_list_like(where)
        if not is_list:
            start = self.index[0]
            if isinstance(self.index, PeriodIndex):
                where = Period(where, freq=self.index.freq)

            if where < start:
                if not is_series:
                    return self._constructor_sliced(
                        index=self.columns, name=where, dtype=np.float64
                    )
                return np.nan

            # It's always much faster to use a *while* loop here for
            # Series than pre-computing all the NAs. However a
            # *while* loop is extremely expensive for DataFrame
            # so we later pre-compute all the NAs and use the same
            # code path whether *where* is a scalar or list.
            # See PR: https://github.com/pandas-dev/pandas/pull/14476
            if is_series:
                loc = self.index.searchsorted(where, side="right")
                if loc > 0:
                    loc -= 1

                values = self._values
                while loc > 0 and isna(values[loc]):
                    loc -= 1
                return values[loc]

        if not isinstance(where, Index):
            where = Index(where) if is_list else Index([where])

        nulls = self.isna() if is_series else self[subset].isna().any(1)
        if nulls.all():
            if is_series:
                return self._constructor(np.nan, index=where, name=self.name)
            elif is_list:
                return self._constructor(np.nan, index=where, columns=self.columns)
            else:
                return self._constructor_sliced(
                    np.nan, index=self.columns, name=where[0]
                )

        locs = self.index.asof_locs(where, ~(nulls._values))

        # mask the missing
        missing = locs == -1
        data = self.take(locs)
        data.index = where
        data.loc[missing] = np.nan
        return data if is_list else data.iloc[-1]

    # ----------------------------------------------------------------------
    # Action Methods

    @doc(klass=_shared_doc_kwargs["klass"])
    def isna(self: FrameOrSeries) -> FrameOrSeries:
        """
        Detect missing values.

        Return a boolean same-sized object indicating if the values are NA.
        NA values, such as None or :attr:`numpy.NaN`, gets mapped to True
        values.
        Everything else gets mapped to False values. Characters such as empty
        strings ``''`` or :attr:`numpy.inf` are not considered NA values
        (unless you set ``pandas.options.mode.use_inf_as_na = True``).

        Returns
        -------
        {klass}
            Mask of bool values for each element in {klass} that
            indicates whether an element is not an NA value.

        See Also
        --------
        {klass}.isnull : Alias of isna.
        {klass}.notna : Boolean inverse of isna.
        {klass}.dropna : Omit axes labels with missing values.
        isna : Top-level isna.

        Examples
        --------
        Show which entries in a DataFrame are NA.

        >>> df = pd.DataFrame(dict(age=[5, 6, np.NaN],
        ...                    born=[pd.NaT, pd.Timestamp('1939-05-27'),
        ...                             pd.Timestamp('1940-04-25')],
        ...                    name=['Alfred', 'Batman', ''],
        ...                    toy=[None, 'Batmobile', 'Joker']))
        >>> df
           age       born    name        toy
        0  5.0        NaT  Alfred       None
        1  6.0 1939-05-27  Batman  Batmobile
        2  NaN 1940-04-25              Joker

        >>> df.isna()
             age   born   name    toy
        0  False   True  False   True
        1  False  False  False  False
        2   True  False  False  False

        Show which entries in a Series are NA.

        >>> ser = pd.Series([5, 6, np.NaN])
        >>> ser
        0    5.0
        1    6.0
        2    NaN
        dtype: float64

        >>> ser.isna()
        0    False
        1    False
        2     True
        dtype: bool
        """
        return isna(self).__finalize__(self, method="isna")

    @doc(isna, klass=_shared_doc_kwargs["klass"])
    def isnull(self: FrameOrSeries) -> FrameOrSeries:
        return isna(self).__finalize__(self, method="isnull")

    @doc(klass=_shared_doc_kwargs["klass"])
    def notna(self: FrameOrSeries) -> FrameOrSeries:
        """
        Detect existing (non-missing) values.

        Return a boolean same-sized object indicating if the values are not NA.
        Non-missing values get mapped to True. Characters such as empty
        strings ``''`` or :attr:`numpy.inf` are not considered NA values
        (unless you set ``pandas.options.mode.use_inf_as_na = True``).
        NA values, such as None or :attr:`numpy.NaN`, get mapped to False
        values.

        Returns
        -------
        {klass}
            Mask of bool values for each element in {klass} that
            indicates whether an element is not an NA value.

        See Also
        --------
        {klass}.notnull : Alias of notna.
        {klass}.isna : Boolean inverse of notna.
        {klass}.dropna : Omit axes labels with missing values.
        notna : Top-level notna.

        Examples
        --------
        Show which entries in a DataFrame are not NA.

        >>> df = pd.DataFrame(dict(age=[5, 6, np.NaN],
        ...                    born=[pd.NaT, pd.Timestamp('1939-05-27'),
        ...                             pd.Timestamp('1940-04-25')],
        ...                    name=['Alfred', 'Batman', ''],
        ...                    toy=[None, 'Batmobile', 'Joker']))
        >>> df
           age       born    name        toy
        0  5.0        NaT  Alfred       None
        1  6.0 1939-05-27  Batman  Batmobile
        2  NaN 1940-04-25              Joker

        >>> df.notna()
             age   born  name    toy
        0   True  False  True  False
        1   True   True  True   True
        2  False   True  True   True

        Show which entries in a Series are not NA.

        >>> ser = pd.Series([5, 6, np.NaN])
        >>> ser
        0    5.0
        1    6.0
        2    NaN
        dtype: float64

        >>> ser.notna()
        0     True
        1     True
        2    False
        dtype: bool
        """
        return notna(self).__finalize__(self, method="notna")

    @doc(notna, klass=_shared_doc_kwargs["klass"])
    def notnull(self: FrameOrSeries) -> FrameOrSeries:
        return notna(self).__finalize__(self, method="notnull")

    def _clip_with_scalar(self, lower, upper, inplace: bool_t = False):
        if (lower is not None and np.any(isna(lower))) or (
            upper is not None and np.any(isna(upper))
        ):
            raise ValueError("Cannot use an NA value as a clip threshold")

        result = self
        mask = isna(self._values)

        with np.errstate(all="ignore"):
            if upper is not None:
                subset = self.to_numpy() <= upper
                result = result.where(subset, upper, axis=None, inplace=False)
            if lower is not None:
                subset = self.to_numpy() >= lower
                result = result.where(subset, lower, axis=None, inplace=False)

        if np.any(mask):
            result[mask] = np.nan

        if inplace:
            return self._update_inplace(result)
        else:
            return result

    def _clip_with_one_bound(self, threshold, method, axis, inplace):

        if axis is not None:
            axis = self._get_axis_number(axis)

        # method is self.le for upper bound and self.ge for lower bound
        if is_scalar(threshold) and is_number(threshold):
            if method.__name__ == "le":
                return self._clip_with_scalar(None, threshold, inplace=inplace)
            return self._clip_with_scalar(threshold, None, inplace=inplace)

        subset = method(threshold, axis=axis) | isna(self)

        # GH #15390
        # In order for where method to work, the threshold must
        # be transformed to NDFrame from other array like structure.
        if (not isinstance(threshold, ABCSeries)) and is_list_like(threshold):
            if isinstance(self, ABCSeries):
                threshold = self._constructor(threshold, index=self.index)
            else:
                threshold = align_method_FRAME(self, threshold, axis, flex=None)[1]
        return self.where(subset, threshold, axis=axis, inplace=inplace)

    def clip(
        self: FrameOrSeries,
        lower=None,
        upper=None,
        axis=None,
        inplace: bool_t = False,
        *args,
        **kwargs,
    ) -> FrameOrSeries:
        """
        Trim values at input threshold(s).

        Assigns values outside boundary to boundary values. Thresholds
        can be singular values or array like, and in the latter case
        the clipping is performed element-wise in the specified axis.

        Parameters
        ----------
        lower : float or array_like, default None
            Minimum threshold value. All values below this
            threshold will be set to it.
        upper : float or array_like, default None
            Maximum threshold value. All values above this
            threshold will be set to it.
        axis : int or str axis name, optional
            Align object with lower and upper along the given axis.
        inplace : bool, default False
            Whether to perform the operation in place on the data.
        *args, **kwargs
            Additional keywords have no effect but might be accepted
            for compatibility with numpy.

        Returns
        -------
        Series or DataFrame
            Same type as calling object with the values outside the
            clip boundaries replaced.

        See Also
        --------
        Series.clip : Trim values at input threshold in series.
        DataFrame.clip : Trim values at input threshold in dataframe.
        numpy.clip : Clip (limit) the values in an array.

        Examples
        --------
        >>> data = {'col_0': [9, -3, 0, -1, 5], 'col_1': [-2, -7, 6, 8, -5]}
        >>> df = pd.DataFrame(data)
        >>> df
           col_0  col_1
        0      9     -2
        1     -3     -7
        2      0      6
        3     -1      8
        4      5     -5

        Clips per column using lower and upper thresholds:

        >>> df.clip(-4, 6)
           col_0  col_1
        0      6     -2
        1     -3     -4
        2      0      6
        3     -1      6
        4      5     -4

        Clips using specific lower and upper thresholds per column element:

        >>> t = pd.Series([2, -4, -1, 6, 3])
        >>> t
        0    2
        1   -4
        2   -1
        3    6
        4    3
        dtype: int64

        >>> df.clip(t, t + 4, axis=0)
           col_0  col_1
        0      6      2
        1     -3     -4
        2      0      3
        3      6      8
        4      5      3
        """
        inplace = validate_bool_kwarg(inplace, "inplace")

        axis = nv.validate_clip_with_axis(axis, args, kwargs)
        if axis is not None:
            axis = self._get_axis_number(axis)

        # GH 17276
        # numpy doesn't like NaN as a clip value
        # so ignore
        # GH 19992
        # numpy doesn't drop a list-like bound containing NaN
        if not is_list_like(lower) and np.any(isna(lower)):
            lower = None
        if not is_list_like(upper) and np.any(isna(upper)):
            upper = None

        # GH 2747 (arguments were reversed)
        if lower is not None and upper is not None:
            if is_scalar(lower) and is_scalar(upper):
                lower, upper = min(lower, upper), max(lower, upper)

        # fast-path for scalars
        if (lower is None or (is_scalar(lower) and is_number(lower))) and (
            upper is None or (is_scalar(upper) and is_number(upper))
        ):
            return self._clip_with_scalar(lower, upper, inplace=inplace)

        result = self
        if lower is not None:
            result = result._clip_with_one_bound(
                lower, method=self.ge, axis=axis, inplace=inplace
            )
        if upper is not None:
            if inplace:
                result = self
            result = result._clip_with_one_bound(
                upper, method=self.le, axis=axis, inplace=inplace
            )

        return result

    def asfreq(
        self: FrameOrSeries,
        freq,
        method=None,
        how: Optional[str] = None,
        normalize: bool_t = False,
        fill_value=None,
    ) -> FrameOrSeries:
        """
        Convert TimeSeries to specified frequency.

        Optionally provide filling method to pad/backfill missing values.

        Returns the original data conformed to a new index with the specified
        frequency. ``resample`` is more appropriate if an operation, such as
        summarization, is necessary to represent the data at the new frequency.

        Parameters
        ----------
        freq : DateOffset or str
            Frequency DateOffset or string.
        method : {'backfill'/'bfill', 'pad'/'ffill'}, default None
            Method to use for filling holes in reindexed Series (note this
            does not fill NaNs that already were present):

            * 'pad' / 'ffill': propagate last valid observation forward to next
              valid
            * 'backfill' / 'bfill': use NEXT valid observation to fill.
        how : {'start', 'end'}, default end
            For PeriodIndex only (see PeriodIndex.asfreq).
        normalize : bool, default False
            Whether to reset output index to midnight.
        fill_value : scalar, optional
            Value to use for missing values, applied during upsampling (note
            this does not fill NaNs that already were present).

        Returns
        -------
        Same type as caller
            Object converted to the specified frequency.

        See Also
        --------
        reindex : Conform DataFrame to new index with optional filling logic.

        Notes
        -----
        To learn more about the frequency strings, please see `this link
        <https://pandas.pydata.org/pandas-docs/stable/user_guide/timeseries.html#offset-aliases>`__.

        Examples
        --------
        Start by creating a series with 4 one minute timestamps.

        >>> index = pd.date_range('1/1/2000', periods=4, freq='T')
        >>> series = pd.Series([0.0, None, 2.0, 3.0], index=index)
        >>> df = pd.DataFrame({'s':series})
        >>> df
                               s
        2000-01-01 00:00:00    0.0
        2000-01-01 00:01:00    NaN
        2000-01-01 00:02:00    2.0
        2000-01-01 00:03:00    3.0

        Upsample the series into 30 second bins.

        >>> df.asfreq(freq='30S')
                               s
        2000-01-01 00:00:00    0.0
        2000-01-01 00:00:30    NaN
        2000-01-01 00:01:00    NaN
        2000-01-01 00:01:30    NaN
        2000-01-01 00:02:00    2.0
        2000-01-01 00:02:30    NaN
        2000-01-01 00:03:00    3.0

        Upsample again, providing a ``fill value``.

        >>> df.asfreq(freq='30S', fill_value=9.0)
                               s
        2000-01-01 00:00:00    0.0
        2000-01-01 00:00:30    9.0
        2000-01-01 00:01:00    NaN
        2000-01-01 00:01:30    9.0
        2000-01-01 00:02:00    2.0
        2000-01-01 00:02:30    9.0
        2000-01-01 00:03:00    3.0

        Upsample again, providing a ``method``.

        >>> df.asfreq(freq='30S', method='bfill')
                               s
        2000-01-01 00:00:00    0.0
        2000-01-01 00:00:30    NaN
        2000-01-01 00:01:00    NaN
        2000-01-01 00:01:30    2.0
        2000-01-01 00:02:00    2.0
        2000-01-01 00:02:30    3.0
        2000-01-01 00:03:00    3.0
        """
        from pandas.core.resample import asfreq

        return asfreq(
            self,
            freq,
            method=method,
            how=how,
            normalize=normalize,
            fill_value=fill_value,
        )

    def at_time(
        self: FrameOrSeries, time, asof: bool_t = False, axis=None
    ) -> FrameOrSeries:
        """
        Select values at particular time of day (e.g., 9:30AM).

        Parameters
        ----------
        time : datetime.time or str
        axis : {0 or 'index', 1 or 'columns'}, default 0

            .. versionadded:: 0.24.0

        Returns
        -------
        Series or DataFrame

        Raises
        ------
        TypeError
            If the index is not  a :class:`DatetimeIndex`

        See Also
        --------
        between_time : Select values between particular times of the day.
        first : Select initial periods of time series based on a date offset.
        last : Select final periods of time series based on a date offset.
        DatetimeIndex.indexer_at_time : Get just the index locations for
            values at particular time of the day.

        Examples
        --------
        >>> i = pd.date_range('2018-04-09', periods=4, freq='12H')
        >>> ts = pd.DataFrame({'A': [1, 2, 3, 4]}, index=i)
        >>> ts
                             A
        2018-04-09 00:00:00  1
        2018-04-09 12:00:00  2
        2018-04-10 00:00:00  3
        2018-04-10 12:00:00  4

        >>> ts.at_time('12:00')
                             A
        2018-04-09 12:00:00  2
        2018-04-10 12:00:00  4
        """
        if axis is None:
            axis = self._stat_axis_number
        axis = self._get_axis_number(axis)

        index = self._get_axis(axis)

        if not isinstance(index, DatetimeIndex):
            raise TypeError("Index must be DatetimeIndex")

        indexer = index.indexer_at_time(time, asof=asof)
        return self._take_with_is_copy(indexer, axis=axis)

    def between_time(
        self: FrameOrSeries,
        start_time,
        end_time,
        include_start: bool_t = True,
        include_end: bool_t = True,
        axis=None,
    ) -> FrameOrSeries:
        """
        Select values between particular times of the day (e.g., 9:00-9:30 AM).

        By setting ``start_time`` to be later than ``end_time``,
        you can get the times that are *not* between the two times.

        Parameters
        ----------
        start_time : datetime.time or str
            Initial time as a time filter limit.
        end_time : datetime.time or str
            End time as a time filter limit.
        include_start : bool, default True
            Whether the start time needs to be included in the result.
        include_end : bool, default True
            Whether the end time needs to be included in the result.
        axis : {0 or 'index', 1 or 'columns'}, default 0
            Determine range time on index or columns value.

            .. versionadded:: 0.24.0

        Returns
        -------
        Series or DataFrame
            Data from the original object filtered to the specified dates range.

        Raises
        ------
        TypeError
            If the index is not  a :class:`DatetimeIndex`

        See Also
        --------
        at_time : Select values at a particular time of the day.
        first : Select initial periods of time series based on a date offset.
        last : Select final periods of time series based on a date offset.
        DatetimeIndex.indexer_between_time : Get just the index locations for
            values between particular times of the day.

        Examples
        --------
        >>> i = pd.date_range('2018-04-09', periods=4, freq='1D20min')
        >>> ts = pd.DataFrame({'A': [1, 2, 3, 4]}, index=i)
        >>> ts
                             A
        2018-04-09 00:00:00  1
        2018-04-10 00:20:00  2
        2018-04-11 00:40:00  3
        2018-04-12 01:00:00  4

        >>> ts.between_time('0:15', '0:45')
                             A
        2018-04-10 00:20:00  2
        2018-04-11 00:40:00  3

        You get the times that are *not* between two times by setting
        ``start_time`` later than ``end_time``:

        >>> ts.between_time('0:45', '0:15')
                             A
        2018-04-09 00:00:00  1
        2018-04-12 01:00:00  4
        """
        if axis is None:
            axis = self._stat_axis_number
        axis = self._get_axis_number(axis)

        index = self._get_axis(axis)
        if not isinstance(index, DatetimeIndex):
            raise TypeError("Index must be DatetimeIndex")

        indexer = index.indexer_between_time(
            start_time, end_time, include_start=include_start, include_end=include_end
        )
        return self._take_with_is_copy(indexer, axis=axis)

    def resample(
        self,
        rule,
        axis=0,
        closed: Optional[str] = None,
        label: Optional[str] = None,
        convention: str = "start",
        kind: Optional[str] = None,
        loffset=None,
        base: Optional[int] = None,
        on=None,
        level=None,
        origin: Union[str, TimestampConvertibleTypes] = "start_day",
        offset: Optional[TimedeltaConvertibleTypes] = None,
    ) -> Resampler:
        """
        Resample time-series data.

        Convenience method for frequency conversion and resampling of time
        series. Object must have a datetime-like index (`DatetimeIndex`,
        `PeriodIndex`, or `TimedeltaIndex`), or pass datetime-like values
        to the `on` or `level` keyword.

        Parameters
        ----------
        rule : DateOffset, Timedelta or str
            The offset string or object representing target conversion.
        axis : {0 or 'index', 1 or 'columns'}, default 0
            Which axis to use for up- or down-sampling. For `Series` this
            will default to 0, i.e. along the rows. Must be
            `DatetimeIndex`, `TimedeltaIndex` or `PeriodIndex`.
        closed : {'right', 'left'}, default None
            Which side of bin interval is closed. The default is 'left'
            for all frequency offsets except for 'M', 'A', 'Q', 'BM',
            'BA', 'BQ', and 'W' which all have a default of 'right'.
        label : {'right', 'left'}, default None
            Which bin edge label to label bucket with. The default is 'left'
            for all frequency offsets except for 'M', 'A', 'Q', 'BM',
            'BA', 'BQ', and 'W' which all have a default of 'right'.
        convention : {'start', 'end', 's', 'e'}, default 'start'
            For `PeriodIndex` only, controls whether to use the start or
            end of `rule`.
        kind : {'timestamp', 'period'}, optional, default None
            Pass 'timestamp' to convert the resulting index to a
            `DateTimeIndex` or 'period' to convert it to a `PeriodIndex`.
            By default the input representation is retained.
        loffset : timedelta, default None
            Adjust the resampled time labels.

            .. deprecated:: 1.1.0
                You should add the loffset to the `df.index` after the resample.
                See below.

        base : int, default 0
            For frequencies that evenly subdivide 1 day, the "origin" of the
            aggregated intervals. For example, for '5min' frequency, base could
            range from 0 through 4. Defaults to 0.

            .. deprecated:: 1.1.0
                The new arguments that you should use are 'offset' or 'origin'.

        on : str, optional
            For a DataFrame, column to use instead of index for resampling.
            Column must be datetime-like.
        level : str or int, optional
            For a MultiIndex, level (name or number) to use for
            resampling. `level` must be datetime-like.
        origin : {'epoch', 'start', 'start_day'}, Timestamp or str, default 'start_day'
            The timestamp on which to adjust the grouping. The timezone of origin
            must match the timezone of the index.
            If a timestamp is not used, these values are also supported:

            - 'epoch': `origin` is 1970-01-01
            - 'start': `origin` is the first value of the timeseries
            - 'start_day': `origin` is the first day at midnight of the timeseries

            .. versionadded:: 1.1.0

        offset : Timedelta or str, default is None
            An offset timedelta added to the origin.

            .. versionadded:: 1.1.0

        Returns
        -------
        Resampler object

        See Also
        --------
        groupby : Group by mapping, function, label, or list of labels.
        Series.resample : Resample a Series.
        DataFrame.resample: Resample a DataFrame.

        Notes
        -----
        See the `user guide
        <https://pandas.pydata.org/pandas-docs/stable/user_guide/timeseries.html#resampling>`_
        for more.

        To learn more about the offset strings, please see `this link
        <https://pandas.pydata.org/pandas-docs/stable/user_guide/timeseries.html#dateoffset-objects>`__.

        Examples
        --------
        Start by creating a series with 9 one minute timestamps.

        >>> index = pd.date_range('1/1/2000', periods=9, freq='T')
        >>> series = pd.Series(range(9), index=index)
        >>> series
        2000-01-01 00:00:00    0
        2000-01-01 00:01:00    1
        2000-01-01 00:02:00    2
        2000-01-01 00:03:00    3
        2000-01-01 00:04:00    4
        2000-01-01 00:05:00    5
        2000-01-01 00:06:00    6
        2000-01-01 00:07:00    7
        2000-01-01 00:08:00    8
        Freq: T, dtype: int64

        Downsample the series into 3 minute bins and sum the values
        of the timestamps falling into a bin.

        >>> series.resample('3T').sum()
        2000-01-01 00:00:00     3
        2000-01-01 00:03:00    12
        2000-01-01 00:06:00    21
        Freq: 3T, dtype: int64

        Downsample the series into 3 minute bins as above, but label each
        bin using the right edge instead of the left. Please note that the
        value in the bucket used as the label is not included in the bucket,
        which it labels. For example, in the original series the
        bucket ``2000-01-01 00:03:00`` contains the value 3, but the summed
        value in the resampled bucket with the label ``2000-01-01 00:03:00``
        does not include 3 (if it did, the summed value would be 6, not 3).
        To include this value close the right side of the bin interval as
        illustrated in the example below this one.

        >>> series.resample('3T', label='right').sum()
        2000-01-01 00:03:00     3
        2000-01-01 00:06:00    12
        2000-01-01 00:09:00    21
        Freq: 3T, dtype: int64

        Downsample the series into 3 minute bins as above, but close the right
        side of the bin interval.

        >>> series.resample('3T', label='right', closed='right').sum()
        2000-01-01 00:00:00     0
        2000-01-01 00:03:00     6
        2000-01-01 00:06:00    15
        2000-01-01 00:09:00    15
        Freq: 3T, dtype: int64

        Upsample the series into 30 second bins.

        >>> series.resample('30S').asfreq()[0:5]   # Select first 5 rows
        2000-01-01 00:00:00   0.0
        2000-01-01 00:00:30   NaN
        2000-01-01 00:01:00   1.0
        2000-01-01 00:01:30   NaN
        2000-01-01 00:02:00   2.0
        Freq: 30S, dtype: float64

        Upsample the series into 30 second bins and fill the ``NaN``
        values using the ``pad`` method.

        >>> series.resample('30S').pad()[0:5]
        2000-01-01 00:00:00    0
        2000-01-01 00:00:30    0
        2000-01-01 00:01:00    1
        2000-01-01 00:01:30    1
        2000-01-01 00:02:00    2
        Freq: 30S, dtype: int64

        Upsample the series into 30 second bins and fill the
        ``NaN`` values using the ``bfill`` method.

        >>> series.resample('30S').bfill()[0:5]
        2000-01-01 00:00:00    0
        2000-01-01 00:00:30    1
        2000-01-01 00:01:00    1
        2000-01-01 00:01:30    2
        2000-01-01 00:02:00    2
        Freq: 30S, dtype: int64

        Pass a custom function via ``apply``

        >>> def custom_resampler(array_like):
        ...     return np.sum(array_like) + 5
        ...
        >>> series.resample('3T').apply(custom_resampler)
        2000-01-01 00:00:00     8
        2000-01-01 00:03:00    17
        2000-01-01 00:06:00    26
        Freq: 3T, dtype: int64

        For a Series with a PeriodIndex, the keyword `convention` can be
        used to control whether to use the start or end of `rule`.

        Resample a year by quarter using 'start' `convention`. Values are
        assigned to the first quarter of the period.

        >>> s = pd.Series([1, 2], index=pd.period_range('2012-01-01',
        ...                                             freq='A',
        ...                                             periods=2))
        >>> s
        2012    1
        2013    2
        Freq: A-DEC, dtype: int64
        >>> s.resample('Q', convention='start').asfreq()
        2012Q1    1.0
        2012Q2    NaN
        2012Q3    NaN
        2012Q4    NaN
        2013Q1    2.0
        2013Q2    NaN
        2013Q3    NaN
        2013Q4    NaN
        Freq: Q-DEC, dtype: float64

        Resample quarters by month using 'end' `convention`. Values are
        assigned to the last month of the period.

        >>> q = pd.Series([1, 2, 3, 4], index=pd.period_range('2018-01-01',
        ...                                                   freq='Q',
        ...                                                   periods=4))
        >>> q
        2018Q1    1
        2018Q2    2
        2018Q3    3
        2018Q4    4
        Freq: Q-DEC, dtype: int64
        >>> q.resample('M', convention='end').asfreq()
        2018-03    1.0
        2018-04    NaN
        2018-05    NaN
        2018-06    2.0
        2018-07    NaN
        2018-08    NaN
        2018-09    3.0
        2018-10    NaN
        2018-11    NaN
        2018-12    4.0
        Freq: M, dtype: float64

        For DataFrame objects, the keyword `on` can be used to specify the
        column instead of the index for resampling.

        >>> d = dict({'price': [10, 11, 9, 13, 14, 18, 17, 19],
        ...           'volume': [50, 60, 40, 100, 50, 100, 40, 50]})
        >>> df = pd.DataFrame(d)
        >>> df['week_starting'] = pd.date_range('01/01/2018',
        ...                                     periods=8,
        ...                                     freq='W')
        >>> df
           price  volume week_starting
        0     10      50    2018-01-07
        1     11      60    2018-01-14
        2      9      40    2018-01-21
        3     13     100    2018-01-28
        4     14      50    2018-02-04
        5     18     100    2018-02-11
        6     17      40    2018-02-18
        7     19      50    2018-02-25
        >>> df.resample('M', on='week_starting').mean()
                       price  volume
        week_starting
        2018-01-31     10.75    62.5
        2018-02-28     17.00    60.0

        For a DataFrame with MultiIndex, the keyword `level` can be used to
        specify on which level the resampling needs to take place.

        >>> days = pd.date_range('1/1/2000', periods=4, freq='D')
        >>> d2 = dict({'price': [10, 11, 9, 13, 14, 18, 17, 19],
        ...            'volume': [50, 60, 40, 100, 50, 100, 40, 50]})
        >>> df2 = pd.DataFrame(d2,
        ...                    index=pd.MultiIndex.from_product([days,
        ...                                                     ['morning',
        ...                                                      'afternoon']]
        ...                                                     ))
        >>> df2
                              price  volume
        2000-01-01 morning       10      50
                   afternoon     11      60
        2000-01-02 morning        9      40
                   afternoon     13     100
        2000-01-03 morning       14      50
                   afternoon     18     100
        2000-01-04 morning       17      40
                   afternoon     19      50
        >>> df2.resample('D', level=0).sum()
                    price  volume
        2000-01-01     21     110
        2000-01-02     22     140
        2000-01-03     32     150
        2000-01-04     36      90

        If you want to adjust the start of the bins based on a fixed timestamp:

        >>> start, end = '2000-10-01 23:30:00', '2000-10-02 00:30:00'
        >>> rng = pd.date_range(start, end, freq='7min')
        >>> ts = pd.Series(np.arange(len(rng)) * 3, index=rng)
        >>> ts
        2000-10-01 23:30:00     0
        2000-10-01 23:37:00     3
        2000-10-01 23:44:00     6
        2000-10-01 23:51:00     9
        2000-10-01 23:58:00    12
        2000-10-02 00:05:00    15
        2000-10-02 00:12:00    18
        2000-10-02 00:19:00    21
        2000-10-02 00:26:00    24
        Freq: 7T, dtype: int64

        >>> ts.resample('17min').sum()
        2000-10-01 23:14:00     0
        2000-10-01 23:31:00     9
        2000-10-01 23:48:00    21
        2000-10-02 00:05:00    54
        2000-10-02 00:22:00    24
        Freq: 17T, dtype: int64

        >>> ts.resample('17min', origin='epoch').sum()
        2000-10-01 23:18:00     0
        2000-10-01 23:35:00    18
        2000-10-01 23:52:00    27
        2000-10-02 00:09:00    39
        2000-10-02 00:26:00    24
        Freq: 17T, dtype: int64

        >>> ts.resample('17min', origin='2000-01-01').sum()
        2000-10-01 23:24:00     3
        2000-10-01 23:41:00    15
        2000-10-01 23:58:00    45
        2000-10-02 00:15:00    45
        Freq: 17T, dtype: int64

        If you want to adjust the start of the bins with an `offset` Timedelta, the two
        following lines are equivalent:

        >>> ts.resample('17min', origin='start').sum()
        2000-10-01 23:30:00     9
        2000-10-01 23:47:00    21
        2000-10-02 00:04:00    54
        2000-10-02 00:21:00    24
        Freq: 17T, dtype: int64

        >>> ts.resample('17min', offset='23h30min').sum()
        2000-10-01 23:30:00     9
        2000-10-01 23:47:00    21
        2000-10-02 00:04:00    54
        2000-10-02 00:21:00    24
        Freq: 17T, dtype: int64

        To replace the use of the deprecated `base` argument, you can now use `offset`,
        in this example it is equivalent to have `base=2`:

        >>> ts.resample('17min', offset='2min').sum()
        2000-10-01 23:16:00     0
        2000-10-01 23:33:00     9
        2000-10-01 23:50:00    36
        2000-10-02 00:07:00    39
        2000-10-02 00:24:00    24
        Freq: 17T, dtype: int64

        To replace the use of the deprecated `loffset` argument:

        >>> from pandas.tseries.frequencies import to_offset
        >>> loffset = '19min'
        >>> ts_out = ts.resample('17min').sum()
        >>> ts_out.index = ts_out.index + to_offset(loffset)
        >>> ts_out
        2000-10-01 23:33:00     0
        2000-10-01 23:50:00     9
        2000-10-02 00:07:00    21
        2000-10-02 00:24:00    54
        2000-10-02 00:41:00    24
        Freq: 17T, dtype: int64
        """
        from pandas.core.resample import get_resampler

        axis = self._get_axis_number(axis)
        return get_resampler(
            self,
            freq=rule,
            label=label,
            closed=closed,
            axis=axis,
            kind=kind,
            loffset=loffset,
            convention=convention,
            base=base,
            key=on,
            level=level,
            origin=origin,
            offset=offset,
        )

    def first(self: FrameOrSeries, offset) -> FrameOrSeries:
        """
        Select initial periods of time series data based on a date offset.

        When having a DataFrame with dates as index, this function can
        select the first few rows based on a date offset.

        Parameters
        ----------
        offset : str, DateOffset or dateutil.relativedelta
            The offset length of the data that will be selected. For instance,
            '1M' will display all the rows having their index within the first month.

        Returns
        -------
        Series or DataFrame
            A subset of the caller.

        Raises
        ------
        TypeError
            If the index is not  a :class:`DatetimeIndex`

        See Also
        --------
        last : Select final periods of time series based on a date offset.
        at_time : Select values at a particular time of the day.
        between_time : Select values between particular times of the day.

        Examples
        --------
        >>> i = pd.date_range('2018-04-09', periods=4, freq='2D')
        >>> ts = pd.DataFrame({'A': [1, 2, 3, 4]}, index=i)
        >>> ts
                    A
        2018-04-09  1
        2018-04-11  2
        2018-04-13  3
        2018-04-15  4

        Get the rows for the first 3 days:

        >>> ts.first('3D')
                    A
        2018-04-09  1
        2018-04-11  2

        Notice the data for 3 first calendar days were returned, not the first
        3 days observed in the dataset, and therefore data for 2018-04-13 was
        not returned.
        """
        if not isinstance(self.index, DatetimeIndex):
            raise TypeError("'first' only supports a DatetimeIndex index")

        if len(self.index) == 0:
            return self

        offset = to_offset(offset)
        end_date = end = self.index[0] + offset

        # Tick-like, e.g. 3 weeks
        if isinstance(offset, Tick):
            if end_date in self.index:
                end = self.index.searchsorted(end_date, side="left")
                return self.iloc[:end]

        return self.loc[:end]

    def last(self: FrameOrSeries, offset) -> FrameOrSeries:
        """
        Select final periods of time series data based on a date offset.

        When having a DataFrame with dates as index, this function can
        select the last few rows based on a date offset.

        Parameters
        ----------
        offset : str, DateOffset, dateutil.relativedelta
            The offset length of the data that will be selected. For instance,
            '3D' will display all the rows having their index within the last 3 days.

        Returns
        -------
        Series or DataFrame
            A subset of the caller.

        Raises
        ------
        TypeError
            If the index is not  a :class:`DatetimeIndex`

        See Also
        --------
        first : Select initial periods of time series based on a date offset.
        at_time : Select values at a particular time of the day.
        between_time : Select values between particular times of the day.

        Examples
        --------
        >>> i = pd.date_range('2018-04-09', periods=4, freq='2D')
        >>> ts = pd.DataFrame({'A': [1, 2, 3, 4]}, index=i)
        >>> ts
                    A
        2018-04-09  1
        2018-04-11  2
        2018-04-13  3
        2018-04-15  4

        Get the rows for the last 3 days:

        >>> ts.last('3D')
                    A
        2018-04-13  3
        2018-04-15  4

        Notice the data for 3 last calendar days were returned, not the last
        3 observed days in the dataset, and therefore data for 2018-04-11 was
        not returned.
        """
        if not isinstance(self.index, DatetimeIndex):
            raise TypeError("'last' only supports a DatetimeIndex index")

        if len(self.index) == 0:
            return self

        offset = to_offset(offset)

        start_date = self.index[-1] - offset
        start = self.index.searchsorted(start_date, side="right")
        return self.iloc[start:]

    def rank(
        self: FrameOrSeries,
        axis=0,
        method: str = "average",
        numeric_only: Optional[bool_t] = None,
        na_option: str = "keep",
        ascending: bool_t = True,
        pct: bool_t = False,
    ) -> FrameOrSeries:
        """
        Compute numerical data ranks (1 through n) along axis.

        By default, equal values are assigned a rank that is the average of the
        ranks of those values.

        Parameters
        ----------
        axis : {0 or 'index', 1 or 'columns'}, default 0
            Index to direct ranking.
        method : {'average', 'min', 'max', 'first', 'dense'}, default 'average'
            How to rank the group of records that have the same value (i.e. ties):

            * average: average rank of the group
            * min: lowest rank in the group
            * max: highest rank in the group
            * first: ranks assigned in order they appear in the array
            * dense: like 'min', but rank always increases by 1 between groups.

        numeric_only : bool, optional
            For DataFrame objects, rank only numeric columns if set to True.
        na_option : {'keep', 'top', 'bottom'}, default 'keep'
            How to rank NaN values:

            * keep: assign NaN rank to NaN values
            * top: assign smallest rank to NaN values if ascending
            * bottom: assign highest rank to NaN values if ascending.

        ascending : bool, default True
            Whether or not the elements should be ranked in ascending order.
        pct : bool, default False
            Whether or not to display the returned rankings in percentile
            form.

        Returns
        -------
        same type as caller
            Return a Series or DataFrame with data ranks as values.

        See Also
        --------
        core.groupby.GroupBy.rank : Rank of values within each group.

        Examples
        --------
        >>> df = pd.DataFrame(data={'Animal': ['cat', 'penguin', 'dog',
        ...                                    'spider', 'snake'],
        ...                         'Number_legs': [4, 2, 4, 8, np.nan]})
        >>> df
            Animal  Number_legs
        0      cat          4.0
        1  penguin          2.0
        2      dog          4.0
        3   spider          8.0
        4    snake          NaN

        The following example shows how the method behaves with the above
        parameters:

        * default_rank: this is the default behaviour obtained without using
          any parameter.
        * max_rank: setting ``method = 'max'`` the records that have the
          same values are ranked using the highest rank (e.g.: since 'cat'
          and 'dog' are both in the 2nd and 3rd position, rank 3 is assigned.)
        * NA_bottom: choosing ``na_option = 'bottom'``, if there are records
          with NaN values they are placed at the bottom of the ranking.
        * pct_rank: when setting ``pct = True``, the ranking is expressed as
          percentile rank.

        >>> df['default_rank'] = df['Number_legs'].rank()
        >>> df['max_rank'] = df['Number_legs'].rank(method='max')
        >>> df['NA_bottom'] = df['Number_legs'].rank(na_option='bottom')
        >>> df['pct_rank'] = df['Number_legs'].rank(pct=True)
        >>> df
            Animal  Number_legs  default_rank  max_rank  NA_bottom  pct_rank
        0      cat          4.0           2.5       3.0        2.5     0.625
        1  penguin          2.0           1.0       1.0        1.0     0.250
        2      dog          4.0           2.5       3.0        2.5     0.625
        3   spider          8.0           4.0       4.0        4.0     1.000
        4    snake          NaN           NaN       NaN        5.0       NaN
        """
        axis = self._get_axis_number(axis)

        if na_option not in {"keep", "top", "bottom"}:
            msg = "na_option must be one of 'keep', 'top', or 'bottom'"
            raise ValueError(msg)

        def ranker(data):
            ranks = algos.rank(
                data.values,
                axis=axis,
                method=method,
                ascending=ascending,
                na_option=na_option,
                pct=pct,
            )
            ranks = self._constructor(ranks, **data._construct_axes_dict())
            return ranks.__finalize__(self, method="rank")

        # if numeric_only is None, and we can't get anything, we try with
        # numeric_only=True
        if numeric_only is None:
            try:
                return ranker(self)
            except TypeError:
                numeric_only = True

        if numeric_only:
            data = self._get_numeric_data()
        else:
            data = self

        return ranker(data)

    @Appender(_shared_docs["compare"] % _shared_doc_kwargs)
    def compare(
        self,
        other,
        align_axis: Axis = 1,
        keep_shape: bool_t = False,
        keep_equal: bool_t = False,
    ):
        from pandas.core.reshape.concat import concat

        if type(self) is not type(other):
            cls_self, cls_other = type(self).__name__, type(other).__name__
            raise TypeError(
                f"can only compare '{cls_self}' (not '{cls_other}') with '{cls_self}'"
            )

        mask = ~((self == other) | (self.isna() & other.isna()))
        keys = ["self", "other"]

        if not keep_equal:
            self = self.where(mask)
            other = other.where(mask)

        if not keep_shape:
            if isinstance(self, ABCDataFrame):
                cmask = mask.any()
                rmask = mask.any(axis=1)
                self = self.loc[rmask, cmask]
                other = other.loc[rmask, cmask]
            else:
                self = self[mask]
                other = other[mask]

        if align_axis in (1, "columns"):  # This is needed for Series
            axis = 1
        else:
            axis = self._get_axis_number(align_axis)

        diff = concat([self, other], axis=axis, keys=keys)

        if axis >= self.ndim:
            # No need to reorganize data if stacking on new axis
            # This currently applies for stacking two Series on columns
            return diff

        ax = diff._get_axis(axis)
        ax_names = np.array(ax.names)

        # set index names to positions to avoid confusion
        ax.names = np.arange(len(ax_names))

        # bring self-other to inner level
        order = list(range(1, ax.nlevels)) + [0]
        if isinstance(diff, ABCDataFrame):
            diff = diff.reorder_levels(order, axis=axis)
        else:
            diff = diff.reorder_levels(order)

        # restore the index names in order
        diff._get_axis(axis=axis).names = ax_names[order]

        # reorder axis to keep things organized
        indices = (
            np.arange(diff.shape[axis]).reshape([2, diff.shape[axis] // 2]).T.flatten()
        )
        diff = diff.take(indices, axis=axis)

        return diff

    @doc(**_shared_doc_kwargs)
    def align(
        self,
        other,
        join="outer",
        axis=None,
        level=None,
        copy=True,
        fill_value=None,
        method=None,
        limit=None,
        fill_axis=0,
        broadcast_axis=None,
    ):
        """
        Align two objects on their axes with the specified join method.

        Join method is specified for each axis Index.

        Parameters
        ----------
        other : DataFrame or Series
        join : {{'outer', 'inner', 'left', 'right'}}, default 'outer'
        axis : allowed axis of the other object, default None
            Align on index (0), columns (1), or both (None).
        level : int or level name, default None
            Broadcast across a level, matching Index values on the
            passed MultiIndex level.
        copy : bool, default True
            Always returns new objects. If copy=False and no reindexing is
            required then original objects are returned.
        fill_value : scalar, default np.NaN
            Value to use for missing values. Defaults to NaN, but can be any
            "compatible" value.
        method : {{'backfill', 'bfill', 'pad', 'ffill', None}}, default None
            Method to use for filling holes in reindexed Series:

            - pad / ffill: propagate last valid observation forward to next valid.
            - backfill / bfill: use NEXT valid observation to fill gap.

        limit : int, default None
            If method is specified, this is the maximum number of consecutive
            NaN values to forward/backward fill. In other words, if there is
            a gap with more than this number of consecutive NaNs, it will only
            be partially filled. If method is not specified, this is the
            maximum number of entries along the entire axis where NaNs will be
            filled. Must be greater than 0 if not None.
        fill_axis : {axes_single_arg}, default 0
            Filling axis, method and limit.
        broadcast_axis : {axes_single_arg}, default None
            Broadcast values along this axis, if aligning two objects of
            different dimensions.

        Returns
        -------
        (left, right) : ({klass}, type of other)
            Aligned objects.
        """

        method = missing.clean_fill_method(method)

        if broadcast_axis == 1 and self.ndim != other.ndim:
            if isinstance(self, ABCSeries):
                # this means other is a DataFrame, and we need to broadcast
                # self
                cons = self._constructor_expanddim
                df = cons(
                    {c: self for c in other.columns}, **other._construct_axes_dict()
                )
                return df._align_frame(
                    other,
                    join=join,
                    axis=axis,
                    level=level,
                    copy=copy,
                    fill_value=fill_value,
                    method=method,
                    limit=limit,
                    fill_axis=fill_axis,
                )
            elif isinstance(other, ABCSeries):
                # this means self is a DataFrame, and we need to broadcast
                # other
                cons = other._constructor_expanddim
                df = cons(
                    {c: other for c in self.columns}, **self._construct_axes_dict()
                )
                return self._align_frame(
                    df,
                    join=join,
                    axis=axis,
                    level=level,
                    copy=copy,
                    fill_value=fill_value,
                    method=method,
                    limit=limit,
                    fill_axis=fill_axis,
                )

        if axis is not None:
            axis = self._get_axis_number(axis)
        if isinstance(other, ABCDataFrame):
            return self._align_frame(
                other,
                join=join,
                axis=axis,
                level=level,
                copy=copy,
                fill_value=fill_value,
                method=method,
                limit=limit,
                fill_axis=fill_axis,
            )
        elif isinstance(other, ABCSeries):
            return self._align_series(
                other,
                join=join,
                axis=axis,
                level=level,
                copy=copy,
                fill_value=fill_value,
                method=method,
                limit=limit,
                fill_axis=fill_axis,
            )
        else:  # pragma: no cover
            raise TypeError(f"unsupported type: {type(other)}")

    def _align_frame(
        self,
        other,
        join="outer",
        axis=None,
        level=None,
        copy: bool_t = True,
        fill_value=None,
        method=None,
        limit=None,
        fill_axis=0,
    ):
        # defaults
        join_index, join_columns = None, None
        ilidx, iridx = None, None
        clidx, cridx = None, None

        is_series = isinstance(self, ABCSeries)

        if axis is None or axis == 0:
            if not self.index.equals(other.index):
                join_index, ilidx, iridx = self.index.join(
                    other.index, how=join, level=level, return_indexers=True
                )

        if axis is None or axis == 1:
            if not is_series and not self.columns.equals(other.columns):
                join_columns, clidx, cridx = self.columns.join(
                    other.columns, how=join, level=level, return_indexers=True
                )

        if is_series:
            reindexers = {0: [join_index, ilidx]}
        else:
            reindexers = {0: [join_index, ilidx], 1: [join_columns, clidx]}

        left = self._reindex_with_indexers(
            reindexers, copy=copy, fill_value=fill_value, allow_dups=True
        )
        # other must be always DataFrame
        right = other._reindex_with_indexers(
            {0: [join_index, iridx], 1: [join_columns, cridx]},
            copy=copy,
            fill_value=fill_value,
            allow_dups=True,
        )

        if method is not None:
            _left = left.fillna(method=method, axis=fill_axis, limit=limit)
            assert _left is not None  # needed for mypy
            left = _left
            right = right.fillna(method=method, axis=fill_axis, limit=limit)

        # if DatetimeIndex have different tz, convert to UTC
        if is_datetime64tz_dtype(left.index.dtype):
            if left.index.tz != right.index.tz:
                if join_index is not None:
                    # GH#33671 ensure we don't change the index on
                    #  our original Series (NB: by default deep=False)
                    left = left.copy()
                    right = right.copy()
                    left.index = join_index
                    right.index = join_index

        return (
            left.__finalize__(self),
            right.__finalize__(other),
        )

    def _align_series(
        self,
        other,
        join="outer",
        axis=None,
        level=None,
        copy: bool_t = True,
        fill_value=None,
        method=None,
        limit=None,
        fill_axis=0,
    ):

        is_series = isinstance(self, ABCSeries)

        # series/series compat, other must always be a Series
        if is_series:
            if axis:
                raise ValueError("cannot align series to a series other than axis 0")

            # equal
            if self.index.equals(other.index):
                join_index, lidx, ridx = None, None, None
            else:
                join_index, lidx, ridx = self.index.join(
                    other.index, how=join, level=level, return_indexers=True
                )

            left = self._reindex_indexer(join_index, lidx, copy)
            right = other._reindex_indexer(join_index, ridx, copy)

        else:
            # one has > 1 ndim
            fdata = self._mgr
            if axis == 0:
                join_index = self.index
                lidx, ridx = None, None
                if not self.index.equals(other.index):
                    join_index, lidx, ridx = self.index.join(
                        other.index, how=join, level=level, return_indexers=True
                    )

                if lidx is not None:
                    fdata = fdata.reindex_indexer(join_index, lidx, axis=1)

            elif axis == 1:
                join_index = self.columns
                lidx, ridx = None, None
                if not self.columns.equals(other.index):
                    join_index, lidx, ridx = self.columns.join(
                        other.index, how=join, level=level, return_indexers=True
                    )

                if lidx is not None:
                    fdata = fdata.reindex_indexer(join_index, lidx, axis=0)
            else:
                raise ValueError("Must specify axis=0 or 1")

            if copy and fdata is self._mgr:
                fdata = fdata.copy()

            left = self._constructor(fdata)

            if ridx is None:
                right = other
            else:
                right = other.reindex(join_index, level=level)

        # fill
        fill_na = notna(fill_value) or (method is not None)
        if fill_na:
            left = left.fillna(fill_value, method=method, limit=limit, axis=fill_axis)
            right = right.fillna(fill_value, method=method, limit=limit)

        # if DatetimeIndex have different tz, convert to UTC
        if is_series or (not is_series and axis == 0):
            if is_datetime64tz_dtype(left.index.dtype):
                if left.index.tz != right.index.tz:
                    if join_index is not None:
                        # GH#33671 ensure we don't change the index on
                        #  our original Series (NB: by default deep=False)
                        left = left.copy()
                        right = right.copy()
                        left.index = join_index
                        right.index = join_index

        return (
            left.__finalize__(self),
            right.__finalize__(other),
        )

    def _where(
        self,
        cond,
        other=np.nan,
        inplace=False,
        axis=None,
        level=None,
        errors="raise",
        try_cast=False,
        invert=False,
    ):
        """
        Equivalent to public method `where`, except that `other` is not
        applied as a function even if callable. Used in __setitem__.
        """
        inplace = validate_bool_kwarg(inplace, "inplace")

        # align the cond to same shape as myself
        cond = com.apply_if_callable(cond, self)
        if isinstance(cond, NDFrame):
            cond, _ = cond.align(self, join="right", broadcast_axis=1)
        else:
            if not hasattr(cond, "shape"):
                cond = np.asanyarray(cond)
            if cond.shape != self.shape:
                raise ValueError("Array conditional must be same shape as self")
            cond = self._constructor(cond, **self._construct_axes_dict())

        # make sure we are boolean
        cond = cond.fillna(False)

        msg = "Boolean array expected for the condition, not {dtype}"

        if not cond.empty:
            if not isinstance(cond, ABCDataFrame):
                # This is a single-dimensional object.
                if not is_bool_dtype(cond):
                    raise ValueError(msg.format(dtype=cond.dtype))
            else:
                for dt in cond.dtypes:
                    if not is_bool_dtype(dt):
                        raise ValueError(msg.format(dtype=dt))
        else:
            # GH#21947 we have an empty DataFrame/Series, could be object-dtype
            cond = cond.astype(bool)

        cond = ~cond if (inplace ^ invert) else cond

        # try to align with other
        try_quick = True
        if isinstance(other, NDFrame):

            # align with me
            if other.ndim <= self.ndim:

                _, other = self.align(
                    other, join="left", axis=axis, level=level, fill_value=np.nan
                )

                # if we are NOT aligned, raise as we cannot where index
                if axis is None and not all(
                    other._get_axis(i).equals(ax) for i, ax in enumerate(self.axes)
                ):
                    raise InvalidIndexError

            # slice me out of the other
            else:
                raise NotImplementedError(
                    "cannot align with a higher dimensional NDFrame"
                )

        if isinstance(other, np.ndarray):

            if other.shape != self.shape:

                if self.ndim == 1:

                    icond = cond._values

                    # GH 2745 / GH 4192
                    # treat like a scalar
                    if len(other) == 1:
                        other = other[0]

                    # GH 3235
                    # match True cond to other
                    elif len(cond[icond]) == len(other):

                        # try to not change dtype at first (if try_quick)
                        if try_quick:
                            new_other = np.asarray(self)
                            new_other = new_other.copy()
                            new_other[icond] = other
                            other = new_other

                    else:
                        raise ValueError(
                            "Length of replacements must equal series length"
                        )

                else:
                    raise ValueError(
                        "other must be the same shape as self when an ndarray"
                    )

            # we are the same shape, so create an actual object for alignment
            else:
                other = self._constructor(other, **self._construct_axes_dict())

        if axis is None:
            axis = 0

        if self.ndim == getattr(other, "ndim", 0):
            align = True
        else:
            align = self._get_axis_number(axis) == 1

        if align and isinstance(other, NDFrame):
            other = other.reindex(self._info_axis, axis=self._info_axis_number)
        if isinstance(cond, NDFrame):
            cond = cond.reindex(self._info_axis, axis=self._info_axis_number)

        block_axis = self._get_block_manager_axis(axis)

        if inplace:
            # we may have different type blocks come out of putmask, so
            # reconstruct the block manager

            self._check_inplace_setting(other)
            new_data = self._mgr.putmask(
                mask=cond, new=other, align=align, axis=block_axis
            )
            result = self._constructor(new_data)
            return self._update_inplace(result)

        else:
            new_data = self._mgr.where(
                other=other,
                cond=cond,
                align=align,
                errors=errors,
                try_cast=try_cast,
                axis=block_axis,
            )
            result = self._constructor(new_data)
            return result.__finalize__(self)

    @doc(
        klass=_shared_doc_kwargs["klass"],
        cond="True",
        cond_rev="False",
        name="where",
        name_other="mask",
    )
    def where(
        self,
        cond,
        other=np.nan,
        inplace=False,
        axis=None,
        level=None,
        errors="raise",
        try_cast=False,
    ):
        """
        Replace values where the condition is {cond_rev}.

        Parameters
        ----------
        cond : bool {klass}, array-like, or callable
            Where `cond` is {cond}, keep the original value. Where
            {cond_rev}, replace with corresponding value from `other`.
            If `cond` is callable, it is computed on the {klass} and
            should return boolean {klass} or array. The callable must
            not change input {klass} (though pandas doesn't check it).
        other : scalar, {klass}, or callable
            Entries where `cond` is {cond_rev} are replaced with
            corresponding value from `other`.
            If other is callable, it is computed on the {klass} and
            should return scalar or {klass}. The callable must not
            change input {klass} (though pandas doesn't check it).
        inplace : bool, default False
            Whether to perform the operation in place on the data.
        axis : int, default None
            Alignment axis if needed.
        level : int, default None
            Alignment level if needed.
        errors : str, {{'raise', 'ignore'}}, default 'raise'
            Note that currently this parameter won't affect
            the results and will always coerce to a suitable dtype.

            - 'raise' : allow exceptions to be raised.
            - 'ignore' : suppress exceptions. On error return original object.
        try_cast : bool, default False
            Try to cast the result back to the input type (if possible).

        Returns
        -------
        Same type as caller
            Original object with values replaced where `cond` is not True.

        See Also
        --------
        :func:`DataFrame.{name_other}` : Return an object of same shape as
            self.

        Notes
        -----
        The {name} method is an application of the if-then idiom. For each
        element in the calling DataFrame, if ``cond`` is ``{cond}`` the
        element is used; otherwise the corresponding element from the DataFrame
        ``other`` is used.

        The signature for :func:`DataFrame.where` differs from
        :func:`numpy.where`. Roughly ``df1.where(m, df2)`` is equivalent to
        ``np.where(m, df1, df2)``.

        For further details and examples see the ``{name}`` documentation in
        :ref:`indexing <indexing.where_mask>`.

        Examples
        --------
        >>> s = pd.Series(range(5))
        >>> s.where(s > 0)
        0    NaN
        1    1.0
        2    2.0
        3    3.0
        4    4.0
        dtype: float64

        >>> s.mask(s > 0)
        0    0.0
        1    NaN
        2    NaN
        3    NaN
        4    NaN
        dtype: float64

        >>> s.where(s > 1, 10)
        0    10
        1    10
        2    2
        3    3
        4    4
        dtype: int64

        >>> df = pd.DataFrame(np.arange(10).reshape(-1, 2), columns=['A', 'B'])
        >>> df
           A  B
        0  0  1
        1  2  3
        2  4  5
        3  6  7
        4  8  9
        >>> m = df % 3 == 0
        >>> df.where(m, -df)
           A  B
        0  0 -1
        1 -2  3
        2 -4 -5
        3  6 -7
        4 -8  9
        >>> df.where(m, -df) == np.where(m, df, -df)
              A     B
        0  True  True
        1  True  True
        2  True  True
        3  True  True
        4  True  True
        >>> df.where(m, -df) == df.mask(~m, -df)
              A     B
        0  True  True
        1  True  True
        2  True  True
        3  True  True
        4  True  True
        """
        other = com.apply_if_callable(other, self)
        return self._where(
            cond, other, inplace, axis, level, errors=errors, try_cast=try_cast
        )

    @doc(
        where,
        klass=_shared_doc_kwargs["klass"],
        cond="False",
        cond_rev="True",
        name="mask",
        name_other="where",
    )
    def mask(
        self,
        cond,
        other=np.nan,
        inplace=False,
        axis=None,
        level=None,
        errors="raise",
        try_cast=False,
    ):
        inplace = validate_bool_kwarg(inplace, "inplace")
        cond = com.apply_if_callable(cond, self)
        other = com.apply_if_callable(other, self)

        return self._where(
            cond,
            other=other,
            inplace=inplace,
            axis=axis,
            level=level,
            try_cast=try_cast,
            errors=errors,
            invert=True,
        )

    @doc(klass=_shared_doc_kwargs["klass"])
    def shift(
        self: FrameOrSeries, periods=1, freq=None, axis=0, fill_value=None
    ) -> FrameOrSeries:
        """
        Shift index by desired number of periods with an optional time `freq`.

        When `freq` is not passed, shift the index without realigning the data.
        If `freq` is passed (in this case, the index must be date or datetime,
        or it will raise a `NotImplementedError`), the index will be
        increased using the periods and the `freq`. `freq` can be inferred
        when specified as "infer" as long as either freq or inferred_freq
        attribute is set in the index.

        Parameters
        ----------
        periods : int
            Number of periods to shift. Can be positive or negative.
        freq : DateOffset, tseries.offsets, timedelta, or str, optional
            Offset to use from the tseries module or time rule (e.g. 'EOM').
            If `freq` is specified then the index values are shifted but the
            data is not realigned. That is, use `freq` if you would like to
            extend the index when shifting and preserve the original data.
            If `freq` is specified as "infer" then it will be inferred from
            the freq or inferred_freq attributes of the index. If neither of
            those attributes exist, a ValueError is thrown
        axis : {{0 or 'index', 1 or 'columns', None}}, default None
            Shift direction.
        fill_value : object, optional
            The scalar value to use for newly introduced missing values.
            the default depends on the dtype of `self`.
            For numeric data, ``np.nan`` is used.
            For datetime, timedelta, or period data, etc. :attr:`NaT` is used.
            For extension dtypes, ``self.dtype.na_value`` is used.

            .. versionchanged:: 1.1.0

        Returns
        -------
        {klass}
            Copy of input object, shifted.

        See Also
        --------
        Index.shift : Shift values of Index.
        DatetimeIndex.shift : Shift values of DatetimeIndex.
        PeriodIndex.shift : Shift values of PeriodIndex.
        tshift : Shift the time index, using the index's frequency if
            available.

        Examples
        --------
        >>> df = pd.DataFrame({{"Col1": [10, 20, 15, 30, 45],
        ...                    "Col2": [13, 23, 18, 33, 48],
        ...                    "Col3": [17, 27, 22, 37, 52]}},
        ...                   index=pd.date_range("2020-01-01", "2020-01-05"))
        >>> df
                    Col1  Col2  Col3
        2020-01-01    10    13    17
        2020-01-02    20    23    27
        2020-01-03    15    18    22
        2020-01-04    30    33    37
        2020-01-05    45    48    52

        >>> df.shift(periods=3)
                    Col1  Col2  Col3
        2020-01-01   NaN   NaN   NaN
        2020-01-02   NaN   NaN   NaN
        2020-01-03   NaN   NaN   NaN
        2020-01-04  10.0  13.0  17.0
        2020-01-05  20.0  23.0  27.0

        >>> df.shift(periods=1, axis="columns")
                    Col1  Col2  Col3
        2020-01-01   NaN  10.0  13.0
        2020-01-02   NaN  20.0  23.0
        2020-01-03   NaN  15.0  18.0
        2020-01-04   NaN  30.0  33.0
        2020-01-05   NaN  45.0  48.0

        >>> df.shift(periods=3, fill_value=0)
                    Col1  Col2  Col3
        2020-01-01     0     0     0
        2020-01-02     0     0     0
        2020-01-03     0     0     0
        2020-01-04    10    13    17
        2020-01-05    20    23    27

        >>> df.shift(periods=3, freq="D")
                    Col1  Col2  Col3
        2020-01-04    10    13    17
        2020-01-05    20    23    27
        2020-01-06    15    18    22
        2020-01-07    30    33    37
        2020-01-08    45    48    52

        >>> df.shift(periods=3, freq="infer")
                    Col1  Col2  Col3
        2020-01-04    10    13    17
        2020-01-05    20    23    27
        2020-01-06    15    18    22
        2020-01-07    30    33    37
        2020-01-08    45    48    52
        """
        if periods == 0:
            return self.copy()

        if freq is None:
            # when freq is None, data is shifted, index is not
            block_axis = self._get_block_manager_axis(axis)
            new_data = self._mgr.shift(
                periods=periods, axis=block_axis, fill_value=fill_value
            )
            return self._constructor(new_data).__finalize__(self, method="shift")

        # when freq is given, index is shifted, data is not
        index = self._get_axis(axis)

        if freq == "infer":
            freq = getattr(index, "freq", None)

            if freq is None:
                freq = getattr(index, "inferred_freq", None)

            if freq is None:
                msg = "Freq was not set in the index hence cannot be inferred"
                raise ValueError(msg)

        elif isinstance(freq, str):
            freq = to_offset(freq)

        if isinstance(index, PeriodIndex):
            orig_freq = to_offset(index.freq)
            if freq != orig_freq:
                assert orig_freq is not None  # for mypy
                raise ValueError(
                    f"Given freq {freq.rule_code} does not match "
                    f"PeriodIndex freq {orig_freq.rule_code}"
                )
            new_ax = index.shift(periods)
        else:
            new_ax = index.shift(periods, freq)

        result = self.set_axis(new_ax, axis)
        return result.__finalize__(self, method="shift")

    def slice_shift(self: FrameOrSeries, periods: int = 1, axis=0) -> FrameOrSeries:
        """
        Equivalent to `shift` without copying data.

        The shifted data will not include the dropped periods and the
        shifted axis will be smaller than the original.

        Parameters
        ----------
        periods : int
            Number of periods to move, can be positive or negative.

        Returns
        -------
        shifted : same type as caller

        Notes
        -----
        While the `slice_shift` is faster than `shift`, you may pay for it
        later during alignment.
        """
        if periods == 0:
            return self

        if periods > 0:
            vslicer = slice(None, -periods)
            islicer = slice(periods, None)
        else:
            vslicer = slice(-periods, None)
            islicer = slice(None, periods)

        new_obj = self._slice(vslicer, axis=axis)
        shifted_axis = self._get_axis(axis)[islicer]
        new_obj.set_axis(shifted_axis, axis=axis, inplace=True)

        return new_obj.__finalize__(self, method="slice_shift")

    def tshift(
        self: FrameOrSeries, periods: int = 1, freq=None, axis: Axis = 0
    ) -> FrameOrSeries:
        """
        Shift the time index, using the index's frequency if available.

        .. deprecated:: 1.1.0
            Use `shift` instead.

        Parameters
        ----------
        periods : int
            Number of periods to move, can be positive or negative.
        freq : DateOffset, timedelta, or str, default None
            Increment to use from the tseries module
            or time rule expressed as a string (e.g. 'EOM').
        axis : {0 or ‘index’, 1 or ‘columns’, None}, default 0
            Corresponds to the axis that contains the Index.

        Returns
        -------
        shifted : Series/DataFrame

        Notes
        -----
        If freq is not specified then tries to use the freq or inferred_freq
        attributes of the index. If neither of those attributes exist, a
        ValueError is thrown
        """
        warnings.warn(
            (
                "tshift is deprecated and will be removed in a future version. "
                "Please use shift instead."
            ),
            FutureWarning,
            stacklevel=2,
        )

        if freq is None:
            freq = "infer"

        return self.shift(periods, freq, axis)

    def truncate(
        self: FrameOrSeries, before=None, after=None, axis=None, copy: bool_t = True
    ) -> FrameOrSeries:
        """
        Truncate a Series or DataFrame before and after some index value.

        This is a useful shorthand for boolean indexing based on index
        values above or below certain thresholds.

        Parameters
        ----------
        before : date, str, int
            Truncate all rows before this index value.
        after : date, str, int
            Truncate all rows after this index value.
        axis : {0 or 'index', 1 or 'columns'}, optional
            Axis to truncate. Truncates the index (rows) by default.
        copy : bool, default is True,
            Return a copy of the truncated section.

        Returns
        -------
        type of caller
            The truncated Series or DataFrame.

        See Also
        --------
        DataFrame.loc : Select a subset of a DataFrame by label.
        DataFrame.iloc : Select a subset of a DataFrame by position.

        Notes
        -----
        If the index being truncated contains only datetime values,
        `before` and `after` may be specified as strings instead of
        Timestamps.

        Examples
        --------
        >>> df = pd.DataFrame({'A': ['a', 'b', 'c', 'd', 'e'],
        ...                    'B': ['f', 'g', 'h', 'i', 'j'],
        ...                    'C': ['k', 'l', 'm', 'n', 'o']},
        ...                   index=[1, 2, 3, 4, 5])
        >>> df
           A  B  C
        1  a  f  k
        2  b  g  l
        3  c  h  m
        4  d  i  n
        5  e  j  o

        >>> df.truncate(before=2, after=4)
           A  B  C
        2  b  g  l
        3  c  h  m
        4  d  i  n

        The columns of a DataFrame can be truncated.

        >>> df.truncate(before="A", after="B", axis="columns")
           A  B
        1  a  f
        2  b  g
        3  c  h
        4  d  i
        5  e  j

        For Series, only rows can be truncated.

        >>> df['A'].truncate(before=2, after=4)
        2    b
        3    c
        4    d
        Name: A, dtype: object

        The index values in ``truncate`` can be datetimes or string
        dates.

        >>> dates = pd.date_range('2016-01-01', '2016-02-01', freq='s')
        >>> df = pd.DataFrame(index=dates, data={'A': 1})
        >>> df.tail()
                             A
        2016-01-31 23:59:56  1
        2016-01-31 23:59:57  1
        2016-01-31 23:59:58  1
        2016-01-31 23:59:59  1
        2016-02-01 00:00:00  1

        >>> df.truncate(before=pd.Timestamp('2016-01-05'),
        ...             after=pd.Timestamp('2016-01-10')).tail()
                             A
        2016-01-09 23:59:56  1
        2016-01-09 23:59:57  1
        2016-01-09 23:59:58  1
        2016-01-09 23:59:59  1
        2016-01-10 00:00:00  1

        Because the index is a DatetimeIndex containing only dates, we can
        specify `before` and `after` as strings. They will be coerced to
        Timestamps before truncation.

        >>> df.truncate('2016-01-05', '2016-01-10').tail()
                             A
        2016-01-09 23:59:56  1
        2016-01-09 23:59:57  1
        2016-01-09 23:59:58  1
        2016-01-09 23:59:59  1
        2016-01-10 00:00:00  1

        Note that ``truncate`` assumes a 0 value for any unspecified time
        component (midnight). This differs from partial string slicing, which
        returns any partially matching dates.

        >>> df.loc['2016-01-05':'2016-01-10', :].tail()
                             A
        2016-01-10 23:59:55  1
        2016-01-10 23:59:56  1
        2016-01-10 23:59:57  1
        2016-01-10 23:59:58  1
        2016-01-10 23:59:59  1
        """
        if axis is None:
            axis = self._stat_axis_number
        axis = self._get_axis_number(axis)
        ax = self._get_axis(axis)

        # GH 17935
        # Check that index is sorted
        if not ax.is_monotonic_increasing and not ax.is_monotonic_decreasing:
            raise ValueError("truncate requires a sorted index")

        # if we have a date index, convert to dates, otherwise
        # treat like a slice
        if ax.is_all_dates:
            from pandas.core.tools.datetimes import to_datetime

            before = to_datetime(before)
            after = to_datetime(after)

        if before is not None and after is not None:
            if before > after:
                raise ValueError(f"Truncate: {after} must be after {before}")

        if len(ax) > 1 and ax.is_monotonic_decreasing:
            before, after = after, before

        slicer = [slice(None, None)] * self._AXIS_LEN
        slicer[axis] = slice(before, after)
        result = self.loc[tuple(slicer)]

        if isinstance(ax, MultiIndex):
            setattr(result, self._get_axis_name(axis), ax.truncate(before, after))

        if copy:
            result = result.copy()

        return result

    def tz_convert(
        self: FrameOrSeries, tz, axis=0, level=None, copy: bool_t = True
    ) -> FrameOrSeries:
        """
        Convert tz-aware axis to target time zone.

        Parameters
        ----------
        tz : str or tzinfo object
        axis : the axis to convert
        level : int, str, default None
            If axis is a MultiIndex, convert a specific level. Otherwise
            must be None.
        copy : bool, default True
            Also make a copy of the underlying data.

        Returns
        -------
        {klass}
            Object with time zone converted axis.

        Raises
        ------
        TypeError
            If the axis is tz-naive.
        """
        axis = self._get_axis_number(axis)
        ax = self._get_axis(axis)

        def _tz_convert(ax, tz):
            if not hasattr(ax, "tz_convert"):
                if len(ax) > 0:
                    ax_name = self._get_axis_name(axis)
                    raise TypeError(
                        f"{ax_name} is not a valid DatetimeIndex or PeriodIndex"
                    )
                else:
                    ax = DatetimeIndex([], tz=tz)
            else:
                ax = ax.tz_convert(tz)
            return ax

        # if a level is given it must be a MultiIndex level or
        # equivalent to the axis name
        if isinstance(ax, MultiIndex):
            level = ax._get_level_number(level)
            new_level = _tz_convert(ax.levels[level], tz)
            ax = ax.set_levels(new_level, level=level)
        else:
            if level not in (None, 0, ax.name):
                raise ValueError(f"The level {level} is not valid")
            ax = _tz_convert(ax, tz)

        result = self.copy(deep=copy)
        result = result.set_axis(ax, axis=axis, inplace=False)
        return result.__finalize__(self, method="tz_convert")

    def tz_localize(
        self: FrameOrSeries,
        tz,
        axis=0,
        level=None,
        copy: bool_t = True,
        ambiguous="raise",
        nonexistent: str = "raise",
    ) -> FrameOrSeries:
        """
        Localize tz-naive index of a Series or DataFrame to target time zone.

        This operation localizes the Index. To localize the values in a
        timezone-naive Series, use :meth:`Series.dt.tz_localize`.

        Parameters
        ----------
        tz : str or tzinfo
        axis : the axis to localize
        level : int, str, default None
            If axis ia a MultiIndex, localize a specific level. Otherwise
            must be None.
        copy : bool, default True
            Also make a copy of the underlying data.
        ambiguous : 'infer', bool-ndarray, 'NaT', default 'raise'
            When clocks moved backward due to DST, ambiguous times may arise.
            For example in Central European Time (UTC+01), when going from
            03:00 DST to 02:00 non-DST, 02:30:00 local time occurs both at
            00:30:00 UTC and at 01:30:00 UTC. In such a situation, the
            `ambiguous` parameter dictates how ambiguous times should be
            handled.

            - 'infer' will attempt to infer fall dst-transition hours based on
              order
            - bool-ndarray where True signifies a DST time, False designates
              a non-DST time (note that this flag is only applicable for
              ambiguous times)
            - 'NaT' will return NaT where there are ambiguous times
            - 'raise' will raise an AmbiguousTimeError if there are ambiguous
              times.
        nonexistent : str, default 'raise'
            A nonexistent time does not exist in a particular timezone
            where clocks moved forward due to DST. Valid values are:

            - 'shift_forward' will shift the nonexistent time forward to the
              closest existing time
            - 'shift_backward' will shift the nonexistent time backward to the
              closest existing time
            - 'NaT' will return NaT where there are nonexistent times
            - timedelta objects will shift nonexistent times by the timedelta
            - 'raise' will raise an NonExistentTimeError if there are
              nonexistent times.

            .. versionadded:: 0.24.0

        Returns
        -------
        Series or DataFrame
            Same type as the input.

        Raises
        ------
        TypeError
            If the TimeSeries is tz-aware and tz is not None.

        Examples
        --------
        Localize local times:

        >>> s = pd.Series([1],
        ...               index=pd.DatetimeIndex(['2018-09-15 01:30:00']))
        >>> s.tz_localize('CET')
        2018-09-15 01:30:00+02:00    1
        dtype: int64

        Be careful with DST changes. When there is sequential data, pandas
        can infer the DST time:

        >>> s = pd.Series(range(7),
        ...               index=pd.DatetimeIndex(['2018-10-28 01:30:00',
        ...                                       '2018-10-28 02:00:00',
        ...                                       '2018-10-28 02:30:00',
        ...                                       '2018-10-28 02:00:00',
        ...                                       '2018-10-28 02:30:00',
        ...                                       '2018-10-28 03:00:00',
        ...                                       '2018-10-28 03:30:00']))
        >>> s.tz_localize('CET', ambiguous='infer')
        2018-10-28 01:30:00+02:00    0
        2018-10-28 02:00:00+02:00    1
        2018-10-28 02:30:00+02:00    2
        2018-10-28 02:00:00+01:00    3
        2018-10-28 02:30:00+01:00    4
        2018-10-28 03:00:00+01:00    5
        2018-10-28 03:30:00+01:00    6
        dtype: int64

        In some cases, inferring the DST is impossible. In such cases, you can
        pass an ndarray to the ambiguous parameter to set the DST explicitly

        >>> s = pd.Series(range(3),
        ...               index=pd.DatetimeIndex(['2018-10-28 01:20:00',
        ...                                       '2018-10-28 02:36:00',
        ...                                       '2018-10-28 03:46:00']))
        >>> s.tz_localize('CET', ambiguous=np.array([True, True, False]))
        2018-10-28 01:20:00+02:00    0
        2018-10-28 02:36:00+02:00    1
        2018-10-28 03:46:00+01:00    2
        dtype: int64

        If the DST transition causes nonexistent times, you can shift these
        dates forward or backward with a timedelta object or `'shift_forward'`
        or `'shift_backward'`.

        >>> s = pd.Series(range(2),
        ...               index=pd.DatetimeIndex(['2015-03-29 02:30:00',
        ...                                       '2015-03-29 03:30:00']))
        >>> s.tz_localize('Europe/Warsaw', nonexistent='shift_forward')
        2015-03-29 03:00:00+02:00    0
        2015-03-29 03:30:00+02:00    1
        dtype: int64
        >>> s.tz_localize('Europe/Warsaw', nonexistent='shift_backward')
        2015-03-29 01:59:59.999999999+01:00    0
        2015-03-29 03:30:00+02:00              1
        dtype: int64
        >>> s.tz_localize('Europe/Warsaw', nonexistent=pd.Timedelta('1H'))
        2015-03-29 03:30:00+02:00    0
        2015-03-29 03:30:00+02:00    1
        dtype: int64
        """
        nonexistent_options = ("raise", "NaT", "shift_forward", "shift_backward")
        if nonexistent not in nonexistent_options and not isinstance(
            nonexistent, timedelta
        ):
            raise ValueError(
                "The nonexistent argument must be one of 'raise', "
                "'NaT', 'shift_forward', 'shift_backward' or "
                "a timedelta object"
            )

        axis = self._get_axis_number(axis)
        ax = self._get_axis(axis)

        def _tz_localize(ax, tz, ambiguous, nonexistent):
            if not hasattr(ax, "tz_localize"):
                if len(ax) > 0:
                    ax_name = self._get_axis_name(axis)
                    raise TypeError(
                        f"{ax_name} is not a valid DatetimeIndex or PeriodIndex"
                    )
                else:
                    ax = DatetimeIndex([], tz=tz)
            else:
                ax = ax.tz_localize(tz, ambiguous=ambiguous, nonexistent=nonexistent)
            return ax

        # if a level is given it must be a MultiIndex level or
        # equivalent to the axis name
        if isinstance(ax, MultiIndex):
            level = ax._get_level_number(level)
            new_level = _tz_localize(ax.levels[level], tz, ambiguous, nonexistent)
            ax = ax.set_levels(new_level, level=level)
        else:
            if level not in (None, 0, ax.name):
                raise ValueError(f"The level {level} is not valid")
            ax = _tz_localize(ax, tz, ambiguous, nonexistent)

        result = self.copy(deep=copy)
        result = result.set_axis(ax, axis=axis, inplace=False)
        return result.__finalize__(self, method="tz_localize")

    # ----------------------------------------------------------------------
    # Numeric Methods
    def abs(self: FrameOrSeries) -> FrameOrSeries:
        """
        Return a Series/DataFrame with absolute numeric value of each element.

        This function only applies to elements that are all numeric.

        Returns
        -------
        abs
            Series/DataFrame containing the absolute value of each element.

        See Also
        --------
        numpy.absolute : Calculate the absolute value element-wise.

        Notes
        -----
        For ``complex`` inputs, ``1.2 + 1j``, the absolute value is
        :math:`\\sqrt{ a^2 + b^2 }`.

        Examples
        --------
        Absolute numeric values in a Series.

        >>> s = pd.Series([-1.10, 2, -3.33, 4])
        >>> s.abs()
        0    1.10
        1    2.00
        2    3.33
        3    4.00
        dtype: float64

        Absolute numeric values in a Series with complex numbers.

        >>> s = pd.Series([1.2 + 1j])
        >>> s.abs()
        0    1.56205
        dtype: float64

        Absolute numeric values in a Series with a Timedelta element.

        >>> s = pd.Series([pd.Timedelta('1 days')])
        >>> s.abs()
        0   1 days
        dtype: timedelta64[ns]

        Select rows with data closest to certain value using argsort (from
        `StackOverflow <https://stackoverflow.com/a/17758115>`__).

        >>> df = pd.DataFrame({
        ...     'a': [4, 5, 6, 7],
        ...     'b': [10, 20, 30, 40],
        ...     'c': [100, 50, -30, -50]
        ... })
        >>> df
             a    b    c
        0    4   10  100
        1    5   20   50
        2    6   30  -30
        3    7   40  -50
        >>> df.loc[(df.c - 43).abs().argsort()]
             a    b    c
        1    5   20   50
        0    4   10  100
        2    6   30  -30
        3    7   40  -50
        """
        return np.abs(self)

    def describe(
        self: FrameOrSeries,
        percentiles=None,
        include=None,
        exclude=None,
        datetime_is_numeric=False,
    ) -> FrameOrSeries:
        """
        Generate descriptive statistics.

        Descriptive statistics include those that summarize the central
        tendency, dispersion and shape of a
        dataset's distribution, excluding ``NaN`` values.

        Analyzes both numeric and object series, as well
        as ``DataFrame`` column sets of mixed data types. The output
        will vary depending on what is provided. Refer to the notes
        below for more detail.

        Parameters
        ----------
        percentiles : list-like of numbers, optional
            The percentiles to include in the output. All should
            fall between 0 and 1. The default is
            ``[.25, .5, .75]``, which returns the 25th, 50th, and
            75th percentiles.
        include : 'all', list-like of dtypes or None (default), optional
            A white list of data types to include in the result. Ignored
            for ``Series``. Here are the options:

            - 'all' : All columns of the input will be included in the output.
            - A list-like of dtypes : Limits the results to the
              provided data types.
              To limit the result to numeric types submit
              ``numpy.number``. To limit it instead to object columns submit
              the ``numpy.object`` data type. Strings
              can also be used in the style of
              ``select_dtypes`` (e.g. ``df.describe(include=['O'])``). To
              select pandas categorical columns, use ``'category'``
            - None (default) : The result will include all numeric columns.
        exclude : list-like of dtypes or None (default), optional,
            A black list of data types to omit from the result. Ignored
            for ``Series``. Here are the options:

            - A list-like of dtypes : Excludes the provided data types
              from the result. To exclude numeric types submit
              ``numpy.number``. To exclude object columns submit the data
              type ``numpy.object``. Strings can also be used in the style of
              ``select_dtypes`` (e.g. ``df.describe(include=['O'])``). To
              exclude pandas categorical columns, use ``'category'``
            - None (default) : The result will exclude nothing.
        datetime_is_numeric : bool, default False
            Whether to treat datetime dtypes as numeric. This affects statistics
            calculated for the column. For DataFrame input, this also
            controls whether datetime columns are included by default.

            .. versionadded:: 1.1.0

        Returns
        -------
        Series or DataFrame
            Summary statistics of the Series or Dataframe provided.

        See Also
        --------
        DataFrame.count: Count number of non-NA/null observations.
        DataFrame.max: Maximum of the values in the object.
        DataFrame.min: Minimum of the values in the object.
        DataFrame.mean: Mean of the values.
        DataFrame.std: Standard deviation of the observations.
        DataFrame.select_dtypes: Subset of a DataFrame including/excluding
            columns based on their dtype.

        Notes
        -----
        For numeric data, the result's index will include ``count``,
        ``mean``, ``std``, ``min``, ``max`` as well as lower, ``50`` and
        upper percentiles. By default the lower percentile is ``25`` and the
        upper percentile is ``75``. The ``50`` percentile is the
        same as the median.

        For object data (e.g. strings or timestamps), the result's index
        will include ``count``, ``unique``, ``top``, and ``freq``. The ``top``
        is the most common value. The ``freq`` is the most common value's
        frequency. Timestamps also include the ``first`` and ``last`` items.

        If multiple object values have the highest count, then the
        ``count`` and ``top`` results will be arbitrarily chosen from
        among those with the highest count.

        For mixed data types provided via a ``DataFrame``, the default is to
        return only an analysis of numeric columns. If the dataframe consists
        only of object and categorical data without any numeric columns, the
        default is to return an analysis of both the object and categorical
        columns. If ``include='all'`` is provided as an option, the result
        will include a union of attributes of each type.

        The `include` and `exclude` parameters can be used to limit
        which columns in a ``DataFrame`` are analyzed for the output.
        The parameters are ignored when analyzing a ``Series``.

        Examples
        --------
        Describing a numeric ``Series``.

        >>> s = pd.Series([1, 2, 3])
        >>> s.describe()
        count    3.0
        mean     2.0
        std      1.0
        min      1.0
        25%      1.5
        50%      2.0
        75%      2.5
        max      3.0
        dtype: float64

        Describing a categorical ``Series``.

        >>> s = pd.Series(['a', 'a', 'b', 'c'])
        >>> s.describe()
        count     4
        unique    3
        top       a
        freq      2
        dtype: object

        Describing a timestamp ``Series``.

        >>> s = pd.Series([
        ...   np.datetime64("2000-01-01"),
        ...   np.datetime64("2010-01-01"),
        ...   np.datetime64("2010-01-01")
        ... ])
        >>> s.describe(datetime_is_numeric=True)
        count                      3
        mean     2006-09-01 08:00:00
        min      2000-01-01 00:00:00
        25%      2004-12-31 12:00:00
        50%      2010-01-01 00:00:00
        75%      2010-01-01 00:00:00
        max      2010-01-01 00:00:00
        dtype: object

        Describing a ``DataFrame``. By default only numeric fields
        are returned.

        >>> df = pd.DataFrame({'categorical': pd.Categorical(['d','e','f']),
        ...                    'numeric': [1, 2, 3],
        ...                    'object': ['a', 'b', 'c']
        ...                   })
        >>> df.describe()
               numeric
        count      3.0
        mean       2.0
        std        1.0
        min        1.0
        25%        1.5
        50%        2.0
        75%        2.5
        max        3.0

        Describing all columns of a ``DataFrame`` regardless of data type.

        >>> df.describe(include='all')  # doctest: +SKIP
               categorical  numeric object
        count            3      3.0      3
        unique           3      NaN      3
        top              f      NaN      a
        freq             1      NaN      1
        mean           NaN      2.0    NaN
        std            NaN      1.0    NaN
        min            NaN      1.0    NaN
        25%            NaN      1.5    NaN
        50%            NaN      2.0    NaN
        75%            NaN      2.5    NaN
        max            NaN      3.0    NaN

        Describing a column from a ``DataFrame`` by accessing it as
        an attribute.

        >>> df.numeric.describe()
        count    3.0
        mean     2.0
        std      1.0
        min      1.0
        25%      1.5
        50%      2.0
        75%      2.5
        max      3.0
        Name: numeric, dtype: float64

        Including only numeric columns in a ``DataFrame`` description.

        >>> df.describe(include=[np.number])
               numeric
        count      3.0
        mean       2.0
        std        1.0
        min        1.0
        25%        1.5
        50%        2.0
        75%        2.5
        max        3.0

        Including only string columns in a ``DataFrame`` description.

        >>> df.describe(include=[object])  # doctest: +SKIP
               object
        count       3
        unique      3
        top         a
        freq        1

        Including only categorical columns from a ``DataFrame`` description.

        >>> df.describe(include=['category'])
               categorical
        count            3
        unique           3
        top              f
        freq             1

        Excluding numeric columns from a ``DataFrame`` description.

        >>> df.describe(exclude=[np.number])  # doctest: +SKIP
               categorical object
        count            3      3
        unique           3      3
        top              f      a
        freq             1      1

        Excluding object columns from a ``DataFrame`` description.

        >>> df.describe(exclude=[object])  # doctest: +SKIP
               categorical  numeric
        count            3      3.0
        unique           3      NaN
        top              f      NaN
        freq             1      NaN
        mean           NaN      2.0
        std            NaN      1.0
        min            NaN      1.0
        25%            NaN      1.5
        50%            NaN      2.0
        75%            NaN      2.5
        max            NaN      3.0
        """
        if self.ndim == 2 and self.columns.size == 0:
            raise ValueError("Cannot describe a DataFrame without columns")

        if percentiles is not None:
            # explicit conversion of `percentiles` to list
            percentiles = list(percentiles)

            # get them all to be in [0, 1]
            validate_percentile(percentiles)

            # median should always be included
            if 0.5 not in percentiles:
                percentiles.append(0.5)
            percentiles = np.asarray(percentiles)
        else:
            percentiles = np.array([0.25, 0.5, 0.75])

        # sort and check for duplicates
        unique_pcts = np.unique(percentiles)
        if len(unique_pcts) < len(percentiles):
            raise ValueError("percentiles cannot contain duplicates")
        percentiles = unique_pcts

        formatted_percentiles = format_percentiles(percentiles)

        def describe_numeric_1d(series):
            stat_index = (
                ["count", "mean", "std", "min"] + formatted_percentiles + ["max"]
            )
            d = (
                [series.count(), series.mean(), series.std(), series.min()]
                + series.quantile(percentiles).tolist()
                + [series.max()]
            )
            return pd.Series(d, index=stat_index, name=series.name)

        def describe_categorical_1d(data):
            names = ["count", "unique"]
            objcounts = data.value_counts()
            count_unique = len(objcounts[objcounts != 0])
            result = [data.count(), count_unique]
            dtype = None
            if result[1] > 0:
                top, freq = objcounts.index[0], objcounts.iloc[0]
                if is_datetime64_any_dtype(data.dtype):
                    if self.ndim == 1:
                        stacklevel = 4
                    else:
                        stacklevel = 5
                    warnings.warn(
                        "Treating datetime data as categorical rather than numeric in "
                        "`.describe` is deprecated and will be removed in a future "
                        "version of pandas. Specify `datetime_is_numeric=True` to "
                        "silence this warning and adopt the future behavior now.",
                        FutureWarning,
                        stacklevel=stacklevel,
                    )
                    tz = data.dt.tz
                    asint = data.dropna().values.view("i8")
                    top = Timestamp(top)
                    if top.tzinfo is not None and tz is not None:
                        # Don't tz_localize(None) if key is already tz-aware
                        top = top.tz_convert(tz)
                    else:
                        top = top.tz_localize(tz)
                    names += ["top", "freq", "first", "last"]
                    result += [
                        top,
                        freq,
                        Timestamp(asint.min(), tz=tz),
                        Timestamp(asint.max(), tz=tz),
                    ]
                else:
                    names += ["top", "freq"]
                    result += [top, freq]

            # If the DataFrame is empty, set 'top' and 'freq' to None
            # to maintain output shape consistency
            else:
                names += ["top", "freq"]
                result += [np.nan, np.nan]
                dtype = "object"

            return pd.Series(result, index=names, name=data.name, dtype=dtype)

        def describe_timestamp_1d(data):
            # GH-30164
            stat_index = ["count", "mean", "min"] + formatted_percentiles + ["max"]
            d = (
                [data.count(), data.mean(), data.min()]
                + data.quantile(percentiles).tolist()
                + [data.max()]
            )
            return pd.Series(d, index=stat_index, name=data.name)

        def describe_1d(data):
            if is_bool_dtype(data.dtype):
                return describe_categorical_1d(data)
            elif is_numeric_dtype(data):
                return describe_numeric_1d(data)
            elif is_datetime64_any_dtype(data.dtype) and datetime_is_numeric:
                return describe_timestamp_1d(data)
            elif is_timedelta64_dtype(data.dtype):
                return describe_numeric_1d(data)
            else:
                return describe_categorical_1d(data)

        if self.ndim == 1:
            return describe_1d(self)
        elif (include is None) and (exclude is None):
            # when some numerics are found, keep only numerics
            default_include = [np.number]
            if datetime_is_numeric:
                default_include.append("datetime")
            data = self.select_dtypes(include=default_include)
            if len(data.columns) == 0:
                data = self
        elif include == "all":
            if exclude is not None:
                msg = "exclude must be None when include is 'all'"
                raise ValueError(msg)
            data = self
        else:
            data = self.select_dtypes(include=include, exclude=exclude)

        ldesc = [describe_1d(s) for _, s in data.items()]
        # set a convenient order for rows
        names: List[Label] = []
        ldesc_indexes = sorted((x.index for x in ldesc), key=len)
        for idxnames in ldesc_indexes:
            for name in idxnames:
                if name not in names:
                    names.append(name)

        d = pd.concat([x.reindex(names, copy=False) for x in ldesc], axis=1, sort=False)
        d.columns = data.columns.copy()
        return d

    def pct_change(
        self: FrameOrSeries,
        periods=1,
        fill_method="pad",
        limit=None,
        freq=None,
        **kwargs,
    ) -> FrameOrSeries:
        """
        Percentage change between the current and a prior element.

        Computes the percentage change from the immediately previous row by
        default. This is useful in comparing the percentage of change in a time
        series of elements.

        Parameters
        ----------
        periods : int, default 1
            Periods to shift for forming percent change.
        fill_method : str, default 'pad'
            How to handle NAs before computing percent changes.
        limit : int, default None
            The number of consecutive NAs to fill before stopping.
        freq : DateOffset, timedelta, or str, optional
            Increment to use from time series API (e.g. 'M' or BDay()).
        **kwargs
            Additional keyword arguments are passed into
            `DataFrame.shift` or `Series.shift`.

        Returns
        -------
        chg : Series or DataFrame
            The same type as the calling object.

        See Also
        --------
        Series.diff : Compute the difference of two elements in a Series.
        DataFrame.diff : Compute the difference of two elements in a DataFrame.
        Series.shift : Shift the index by some number of periods.
        DataFrame.shift : Shift the index by some number of periods.

        Examples
        --------
        **Series**

        >>> s = pd.Series([90, 91, 85])
        >>> s
        0    90
        1    91
        2    85
        dtype: int64

        >>> s.pct_change()
        0         NaN
        1    0.011111
        2   -0.065934
        dtype: float64

        >>> s.pct_change(periods=2)
        0         NaN
        1         NaN
        2   -0.055556
        dtype: float64

        See the percentage change in a Series where filling NAs with last
        valid observation forward to next valid.

        >>> s = pd.Series([90, 91, None, 85])
        >>> s
        0    90.0
        1    91.0
        2     NaN
        3    85.0
        dtype: float64

        >>> s.pct_change(fill_method='ffill')
        0         NaN
        1    0.011111
        2    0.000000
        3   -0.065934
        dtype: float64

        **DataFrame**

        Percentage change in French franc, Deutsche Mark, and Italian lira from
        1980-01-01 to 1980-03-01.

        >>> df = pd.DataFrame(dict(
        ...     FR=[4.0405, 4.0963, 4.3149],
        ...     GR=[1.7246, 1.7482, 1.8519],
        ...     IT=[804.74, 810.01, 860.13]),
        ...     index=['1980-01-01', '1980-02-01', '1980-03-01'])
        >>> df
                        FR      GR      IT
        1980-01-01  4.0405  1.7246  804.74
        1980-02-01  4.0963  1.7482  810.01
        1980-03-01  4.3149  1.8519  860.13

        >>> df.pct_change()
                          FR        GR        IT
        1980-01-01       NaN       NaN       NaN
        1980-02-01  0.013810  0.013684  0.006549
        1980-03-01  0.053365  0.059318  0.061876

        Percentage of change in GOOG and APPL stock volume. Shows computing
        the percentage change between columns.

        >>> df = pd.DataFrame(dict([
        ...     ('2016', [1769950, 30586265]),
        ...     ('2015', [1500923, 40912316]),
        ...     ('2014', [1371819, 41403351])]),
        ...     index=['GOOG', 'APPL'])
        >>> df
                  2016      2015      2014
        GOOG   1769950   1500923   1371819
        APPL  30586265  40912316  41403351

        >>> df.pct_change(axis='columns')
              2016      2015      2014
        GOOG   NaN -0.151997 -0.086016
        APPL   NaN  0.337604  0.012002
        """
        axis = self._get_axis_number(kwargs.pop("axis", self._stat_axis_name))
        if fill_method is None:
            data = self
        else:
            _data = self.fillna(method=fill_method, axis=axis, limit=limit)
            assert _data is not None  # needed for mypy
            data = _data

        rs = data.div(data.shift(periods=periods, freq=freq, axis=axis, **kwargs)) - 1
        if freq is not None:
            # Shift method is implemented differently when freq is not None
            # We want to restore the original index
            rs = rs.loc[~rs.index.duplicated()]
            rs = rs.reindex_like(data)
        return rs

    def _agg_by_level(self, name, axis=0, level=0, skipna=True, **kwargs):
        if axis is None:
            raise ValueError("Must specify 'axis' when aggregating by level.")
        grouped = self.groupby(level=level, axis=axis, sort=False)
        if hasattr(grouped, name) and skipna:
            return getattr(grouped, name)(**kwargs)
        axis = self._get_axis_number(axis)
        method = getattr(type(self), name)
        applyf = lambda x: method(x, axis=axis, skipna=skipna, **kwargs)
        return grouped.aggregate(applyf)

    @classmethod
    def _add_numeric_operations(cls):
        """
        Add the operations to the cls; evaluate the doc strings again
        """
        axis_descr, name1, name2 = _doc_parms(cls)

        cls.any = _make_logical_function(
            cls,
            "any",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc=_any_desc,
            func=nanops.nanany,
            see_also=_any_see_also,
            examples=_any_examples,
            empty_value=False,
        )
        cls.all = _make_logical_function(
            cls,
            "all",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc=_all_desc,
            func=nanops.nanall,
            see_also=_all_see_also,
            examples=_all_examples,
            empty_value=True,
        )

        @doc(
            desc="Return the mean absolute deviation of the values "
            "for the requested axis.",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            see_also="",
            examples="",
        )
        def mad(self, axis=None, skipna=None, level=None):
            """
            {desc}

            Parameters
            ----------
            axis : {axis_descr}
                Axis for the function to be applied on.
            skipna : bool, default None
                Exclude NA/null values when computing the result.
            level : int or level name, default None
                If the axis is a MultiIndex (hierarchical), count along a
                particular level, collapsing into a {name1}.

            Returns
            -------
            {name1} or {name2} (if level specified)\
            {see_also}\
            {examples}
            """
            if skipna is None:
                skipna = True
            if axis is None:
                axis = self._stat_axis_number
            if level is not None:
                return self._agg_by_level("mad", axis=axis, level=level, skipna=skipna)

            data = self._get_numeric_data()
            if axis == 0:
                demeaned = data - data.mean(axis=0)
            else:
                demeaned = data.sub(data.mean(axis=1), axis=0)
            return np.abs(demeaned).mean(axis=axis, skipna=skipna)

        cls.mad = mad

        cls.sem = _make_stat_function_ddof(
            cls,
            "sem",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return unbiased standard error of the mean over requested "
            "axis.\n\nNormalized by N-1 by default. This can be changed "
            "using the ddof argument",
            func=nanops.nansem,
        )
        cls.var = _make_stat_function_ddof(
            cls,
            "var",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return unbiased variance over requested axis.\n\nNormalized by "
            "N-1 by default. This can be changed using the ddof argument",
            func=nanops.nanvar,
        )
        cls.std = _make_stat_function_ddof(
            cls,
            "std",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return sample standard deviation over requested axis."
            "\n\nNormalized by N-1 by default. This can be changed using the "
            "ddof argument",
            func=nanops.nanstd,
        )

        cls.cummin = _make_cum_function(
            cls,
            "cummin",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="minimum",
            accum_func=np.minimum.accumulate,
            accum_func_name="min",
            examples=_cummin_examples,
        )
        cls.cumsum = _make_cum_function(
            cls,
            "cumsum",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="sum",
            accum_func=np.cumsum,
            accum_func_name="sum",
            examples=_cumsum_examples,
        )
        cls.cumprod = _make_cum_function(
            cls,
            "cumprod",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="product",
            accum_func=np.cumprod,
            accum_func_name="prod",
            examples=_cumprod_examples,
        )
        cls.cummax = _make_cum_function(
            cls,
            "cummax",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="maximum",
            accum_func=np.maximum.accumulate,
            accum_func_name="max",
            examples=_cummax_examples,
        )

        cls.sum = _make_min_count_stat_function(
            cls,
            "sum",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return the sum of the values for the requested axis.\n\n"
            "This is equivalent to the method ``numpy.sum``.",
            func=nanops.nansum,
            see_also=_stat_func_see_also,
            examples=_sum_examples,
        )
        cls.mean = _make_stat_function(
            cls,
            "mean",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return the mean of the values for the requested axis.",
            func=nanops.nanmean,
        )
        cls.skew = _make_stat_function(
            cls,
            "skew",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return unbiased skew over requested axis.\n\nNormalized by N-1.",
            func=nanops.nanskew,
        )
        cls.kurt = _make_stat_function(
            cls,
            "kurt",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return unbiased kurtosis over requested axis.\n\n"
            "Kurtosis obtained using Fisher's definition of\n"
            "kurtosis (kurtosis of normal == 0.0). Normalized "
            "by N-1.",
            func=nanops.nankurt,
        )
        cls.kurtosis = cls.kurt
        cls.prod = _make_min_count_stat_function(
            cls,
            "prod",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return the product of the values for the requested axis.",
            func=nanops.nanprod,
            examples=_prod_examples,
        )
        cls.product = cls.prod
        cls.median = _make_stat_function(
            cls,
            "median",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return the median of the values for the requested axis.",
            func=nanops.nanmedian,
        )
        cls.max = _make_stat_function(
            cls,
            "max",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return the maximum of the values for the requested axis.\n\n"
            "If you want the *index* of the maximum, use ``idxmax``. This is"
            "the equivalent of the ``numpy.ndarray`` method ``argmax``.",
            func=nanops.nanmax,
            see_also=_stat_func_see_also,
            examples=_max_examples,
        )
        cls.min = _make_stat_function(
            cls,
            "min",
            name1=name1,
            name2=name2,
            axis_descr=axis_descr,
            desc="Return the minimum of the values for the requested axis.\n\n"
            "If you want the *index* of the minimum, use ``idxmin``. This is"
            "the equivalent of the ``numpy.ndarray`` method ``argmin``.",
            func=nanops.nanmin,
            see_also=_stat_func_see_also,
            examples=_min_examples,
        )

    @doc(Rolling)
    def rolling(
        self,
        window: Union[int, timedelta, BaseOffset, BaseIndexer],
        min_periods: Optional[int] = None,
        center: bool_t = False,
        win_type: Optional[str] = None,
        on: Optional[str] = None,
        axis: Axis = 0,
        closed: Optional[str] = None,
    ):
        axis = self._get_axis_number(axis)

        if win_type is not None:
            return Window(
                self,
                window=window,
                min_periods=min_periods,
                center=center,
                win_type=win_type,
                on=on,
                axis=axis,
                closed=closed,
            )

        return Rolling(
            self,
            window=window,
            min_periods=min_periods,
            center=center,
            win_type=win_type,
            on=on,
            axis=axis,
            closed=closed,
        )

    @doc(Expanding)
    def expanding(
        self, min_periods: int = 1, center: Optional[bool_t] = None, axis: Axis = 0
    ) -> Expanding:
        axis = self._get_axis_number(axis)
        if center is not None:
            warnings.warn(
                "The `center` argument on `expanding` will be removed in the future",
                FutureWarning,
                stacklevel=2,
            )
        else:
            center = False

        return Expanding(self, min_periods=min_periods, center=center, axis=axis)

    @doc(ExponentialMovingWindow)
    def ewm(
        self,
        com: Optional[float] = None,
        span: Optional[float] = None,
        halflife: Optional[Union[float, TimedeltaConvertibleTypes]] = None,
        alpha: Optional[float] = None,
        min_periods: int = 0,
        adjust: bool_t = True,
        ignore_na: bool_t = False,
        axis: Axis = 0,
        times: Optional[Union[str, np.ndarray, FrameOrSeries]] = None,
    ) -> ExponentialMovingWindow:
        axis = self._get_axis_number(axis)
        return ExponentialMovingWindow(
            self,
            com=com,
            span=span,
            halflife=halflife,
            alpha=alpha,
            min_periods=min_periods,
            adjust=adjust,
            ignore_na=ignore_na,
            axis=axis,
            times=times,
        )

    # ----------------------------------------------------------------------
    # Misc methods

    def _find_valid_index(self, how: str):
        """
        Retrieves the index of the first valid value.

        Parameters
        ----------
        how : {'first', 'last'}
            Use this parameter to change between the first or last valid index.

        Returns
        -------
        idx_first_valid : type of index
        """
        idxpos = find_valid_index(self._values, how)
        if idxpos is None:
            return None
        return self.index[idxpos]

    @doc(position="first", klass=_shared_doc_kwargs["klass"])
    def first_valid_index(self):
        """
        Return index for {position} non-NA/null value.

        Returns
        -------
        scalar : type of index

        Notes
        -----
        If all elements are non-NA/null, returns None.
        Also returns None for empty {klass}.
        """
        return self._find_valid_index("first")

    @doc(first_valid_index, position="last", klass=_shared_doc_kwargs["klass"])
    def last_valid_index(self):
        return self._find_valid_index("last")


def _doc_parms(cls):
    """Return a tuple of the doc parms."""
    axis_descr = (
        f"{{{', '.join(f'{a} ({i})' for i, a in enumerate(cls._AXIS_ORDERS))}}}"
    )
    name = cls._constructor_sliced.__name__ if cls._AXIS_LEN > 1 else "scalar"
    name2 = cls.__name__
    return axis_descr, name, name2


_num_doc = """
{desc}

Parameters
----------
axis : {axis_descr}
    Axis for the function to be applied on.
skipna : bool, default True
    Exclude NA/null values when computing the result.
level : int or level name, default None
    If the axis is a MultiIndex (hierarchical), count along a
    particular level, collapsing into a {name1}.
numeric_only : bool, default None
    Include only float, int, boolean columns. If None, will attempt to use
    everything, then use only numeric data. Not implemented for Series.
{min_count}\
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
{name1} or {name2} (if level specified)\
{see_also}\
{examples}
"""

_num_ddof_doc = """
{desc}

Parameters
----------
axis : {axis_descr}
skipna : bool, default True
    Exclude NA/null values. If an entire row/column is NA, the result
    will be NA.
level : int or level name, default None
    If the axis is a MultiIndex (hierarchical), count along a
    particular level, collapsing into a {name1}.
ddof : int, default 1
    Delta Degrees of Freedom. The divisor used in calculations is N - ddof,
    where N represents the number of elements.
numeric_only : bool, default None
    Include only float, int, boolean columns. If None, will attempt to use
    everything, then use only numeric data. Not implemented for Series.

Returns
-------
{name1} or {name2} (if level specified)

Notes
-----
To have the same behaviour as `numpy.std`, use `ddof=0` (instead of the
default `ddof=1`)\n"""

_bool_doc = """
{desc}

Parameters
----------
axis : {{0 or 'index', 1 or 'columns', None}}, default 0
    Indicate which axis or axes should be reduced.

    * 0 / 'index' : reduce the index, return a Series whose index is the
      original column labels.
    * 1 / 'columns' : reduce the columns, return a Series whose index is the
      original index.
    * None : reduce all axes, return a scalar.

bool_only : bool, default None
    Include only boolean columns. If None, will attempt to use everything,
    then use only boolean data. Not implemented for Series.
skipna : bool, default True
    Exclude NA/null values. If the entire row/column is NA and skipna is
    True, then the result will be {empty_value}, as for an empty row/column.
    If skipna is False, then NA are treated as True, because these are not
    equal to zero.
level : int or level name, default None
    If the axis is a MultiIndex (hierarchical), count along a
    particular level, collapsing into a {name1}.
**kwargs : any, default None
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
{name1} or {name2}
    If level is specified, then, {name2} is returned; otherwise, {name1}
    is returned.

{see_also}
{examples}"""

_all_desc = """\
Return whether all elements are True, potentially over an axis.

Returns True unless there at least one element within a series or
along a Dataframe axis that is False or equivalent (e.g. zero or
empty)."""

_all_examples = """\
Examples
--------
**Series**

>>> pd.Series([True, True]).all()
True
>>> pd.Series([True, False]).all()
False
>>> pd.Series([]).all()
True
>>> pd.Series([np.nan]).all()
True
>>> pd.Series([np.nan]).all(skipna=False)
True

**DataFrames**

Create a dataframe from a dictionary.

>>> df = pd.DataFrame({'col1': [True, True], 'col2': [True, False]})
>>> df
   col1   col2
0  True   True
1  True  False

Default behaviour checks if column-wise values all return True.

>>> df.all()
col1     True
col2    False
dtype: bool

Specify ``axis='columns'`` to check if row-wise values all return True.

>>> df.all(axis='columns')
0     True
1    False
dtype: bool

Or ``axis=None`` for whether every value is True.

>>> df.all(axis=None)
False
"""

_all_see_also = """\
See Also
--------
Series.all : Return True if all elements are True.
DataFrame.any : Return True if one (or more) elements are True.
"""

_cnum_doc = """
Return cumulative {desc} over a DataFrame or Series axis.

Returns a DataFrame or Series of the same size containing the cumulative
{desc}.

Parameters
----------
axis : {{0 or 'index', 1 or 'columns'}}, default 0
    The index or the name of the axis. 0 is equivalent to None or 'index'.
skipna : bool, default True
    Exclude NA/null values. If an entire row/column is NA, the result
    will be NA.
*args, **kwargs
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
{name1} or {name2}
    Return cumulative {desc} of {name1} or {name2}.

See Also
--------
core.window.Expanding.{accum_func_name} : Similar functionality
    but ignores ``NaN`` values.
{name2}.{accum_func_name} : Return the {desc} over
    {name2} axis.
{name2}.cummax : Return cumulative maximum over {name2} axis.
{name2}.cummin : Return cumulative minimum over {name2} axis.
{name2}.cumsum : Return cumulative sum over {name2} axis.
{name2}.cumprod : Return cumulative product over {name2} axis.

{examples}"""

_cummin_examples = """\
Examples
--------
**Series**

>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cummin()
0    2.0
1    NaN
2    2.0
3   -1.0
4   -1.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cummin(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64

**DataFrame**

>>> df = pd.DataFrame([[2.0, 1.0],
...                    [3.0, np.nan],
...                    [1.0, 0.0]],
...                    columns=list('AB'))
>>> df
     A    B
0  2.0  1.0
1  3.0  NaN
2  1.0  0.0

By default, iterates over rows and finds the minimum
in each column. This is equivalent to ``axis=None`` or ``axis='index'``.

>>> df.cummin()
     A    B
0  2.0  1.0
1  2.0  NaN
2  1.0  0.0

To iterate over columns and find the minimum in each row,
use ``axis=1``

>>> df.cummin(axis=1)
     A    B
0  2.0  1.0
1  3.0  NaN
2  1.0  0.0
"""

_cumsum_examples = """\
Examples
--------
**Series**

>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cumsum()
0    2.0
1    NaN
2    7.0
3    6.0
4    6.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cumsum(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64

**DataFrame**

>>> df = pd.DataFrame([[2.0, 1.0],
...                    [3.0, np.nan],
...                    [1.0, 0.0]],
...                    columns=list('AB'))
>>> df
     A    B
0  2.0  1.0
1  3.0  NaN
2  1.0  0.0

By default, iterates over rows and finds the sum
in each column. This is equivalent to ``axis=None`` or ``axis='index'``.

>>> df.cumsum()
     A    B
0  2.0  1.0
1  5.0  NaN
2  6.0  1.0

To iterate over columns and find the sum in each row,
use ``axis=1``

>>> df.cumsum(axis=1)
     A    B
0  2.0  3.0
1  3.0  NaN
2  1.0  1.0
"""

_cumprod_examples = """\
Examples
--------
**Series**

>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cumprod()
0     2.0
1     NaN
2    10.0
3   -10.0
4    -0.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cumprod(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64

**DataFrame**

>>> df = pd.DataFrame([[2.0, 1.0],
...                    [3.0, np.nan],
...                    [1.0, 0.0]],
...                    columns=list('AB'))
>>> df
     A    B
0  2.0  1.0
1  3.0  NaN
2  1.0  0.0

By default, iterates over rows and finds the product
in each column. This is equivalent to ``axis=None`` or ``axis='index'``.

>>> df.cumprod()
     A    B
0  2.0  1.0
1  6.0  NaN
2  6.0  0.0

To iterate over columns and find the product in each row,
use ``axis=1``

>>> df.cumprod(axis=1)
     A    B
0  2.0  2.0
1  3.0  NaN
2  1.0  0.0
"""

_cummax_examples = """\
Examples
--------
**Series**

>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cummax()
0    2.0
1    NaN
2    5.0
3    5.0
4    5.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cummax(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64

**DataFrame**

>>> df = pd.DataFrame([[2.0, 1.0],
...                    [3.0, np.nan],
...                    [1.0, 0.0]],
...                    columns=list('AB'))
>>> df
     A    B
0  2.0  1.0
1  3.0  NaN
2  1.0  0.0

By default, iterates over rows and finds the maximum
in each column. This is equivalent to ``axis=None`` or ``axis='index'``.

>>> df.cummax()
     A    B
0  2.0  1.0
1  3.0  NaN
2  3.0  1.0

To iterate over columns and find the maximum in each row,
use ``axis=1``

>>> df.cummax(axis=1)
     A    B
0  2.0  2.0
1  3.0  NaN
2  1.0  1.0
"""

_any_see_also = """\
See Also
--------
numpy.any : Numpy version of this method.
Series.any : Return whether any element is True.
Series.all : Return whether all elements are True.
DataFrame.any : Return whether any element is True over requested axis.
DataFrame.all : Return whether all elements are True over requested axis.
"""

_any_desc = """\
Return whether any element is True, potentially over an axis.

Returns False unless there at least one element within a series or
along a Dataframe axis that is True or equivalent (e.g. non-zero or
non-empty)."""

_any_examples = """\
Examples
--------
**Series**

For Series input, the output is a scalar indicating whether any element
is True.

>>> pd.Series([False, False]).any()
False
>>> pd.Series([True, False]).any()
True
>>> pd.Series([]).any()
False
>>> pd.Series([np.nan]).any()
False
>>> pd.Series([np.nan]).any(skipna=False)
True

**DataFrame**

Whether each column contains at least one True element (the default).

>>> df = pd.DataFrame({"A": [1, 2], "B": [0, 2], "C": [0, 0]})
>>> df
   A  B  C
0  1  0  0
1  2  2  0

>>> df.any()
A     True
B     True
C    False
dtype: bool

Aggregating over the columns.

>>> df = pd.DataFrame({"A": [True, False], "B": [1, 2]})
>>> df
       A  B
0   True  1
1  False  2

>>> df.any(axis='columns')
0    True
1    True
dtype: bool

>>> df = pd.DataFrame({"A": [True, False], "B": [1, 0]})
>>> df
       A  B
0   True  1
1  False  0

>>> df.any(axis='columns')
0    True
1    False
dtype: bool

Aggregating over the entire DataFrame with ``axis=None``.

>>> df.any(axis=None)
True

`any` for an empty DataFrame is an empty Series.

>>> pd.DataFrame([]).any()
Series([], dtype: bool)
"""

_shared_docs[
    "stat_func_example"
] = """

Examples
--------
>>> idx = pd.MultiIndex.from_arrays([
...     ['warm', 'warm', 'cold', 'cold'],
...     ['dog', 'falcon', 'fish', 'spider']],
...     names=['blooded', 'animal'])
>>> s = pd.Series([4, 2, 0, 8], name='legs', index=idx)
>>> s
blooded  animal
warm     dog       4
         falcon    2
cold     fish      0
         spider    8
Name: legs, dtype: int64

>>> s.{stat_func}()
{default_output}

{verb} using level names, as well as indices.

>>> s.{stat_func}(level='blooded')
blooded
warm    {level_output_0}
cold    {level_output_1}
Name: legs, dtype: int64

>>> s.{stat_func}(level=0)
blooded
warm    {level_output_0}
cold    {level_output_1}
Name: legs, dtype: int64"""

_sum_examples = _shared_docs["stat_func_example"].format(
    stat_func="sum", verb="Sum", default_output=14, level_output_0=6, level_output_1=8
)

_sum_examples += """

By default, the sum of an empty or all-NA Series is ``0``.

>>> pd.Series([]).sum()  # min_count=0 is the default
0.0

This can be controlled with the ``min_count`` parameter. For example, if
you'd like the sum of an empty series to be NaN, pass ``min_count=1``.

>>> pd.Series([]).sum(min_count=1)
nan

Thanks to the ``skipna`` parameter, ``min_count`` handles all-NA and
empty series identically.

>>> pd.Series([np.nan]).sum()
0.0

>>> pd.Series([np.nan]).sum(min_count=1)
nan"""

_max_examples = _shared_docs["stat_func_example"].format(
    stat_func="max", verb="Max", default_output=8, level_output_0=4, level_output_1=8
)

_min_examples = _shared_docs["stat_func_example"].format(
    stat_func="min", verb="Min", default_output=0, level_output_0=2, level_output_1=0
)

_stat_func_see_also = """

See Also
--------
Series.sum : Return the sum.
Series.min : Return the minimum.
Series.max : Return the maximum.
Series.idxmin : Return the index of the minimum.
Series.idxmax : Return the index of the maximum.
DataFrame.sum : Return the sum over the requested axis.
DataFrame.min : Return the minimum over the requested axis.
DataFrame.max : Return the maximum over the requested axis.
DataFrame.idxmin : Return the index of the minimum over the requested axis.
DataFrame.idxmax : Return the index of the maximum over the requested axis."""

_prod_examples = """

Examples
--------
By default, the product of an empty or all-NA Series is ``1``

>>> pd.Series([]).prod()
1.0

This can be controlled with the ``min_count`` parameter

>>> pd.Series([]).prod(min_count=1)
nan

Thanks to the ``skipna`` parameter, ``min_count`` handles all-NA and
empty series identically.

>>> pd.Series([np.nan]).prod()
1.0

>>> pd.Series([np.nan]).prod(min_count=1)
nan"""

_min_count_stub = """\
min_count : int, default 0
    The required number of valid values to perform the operation. If fewer than
    ``min_count`` non-NA values are present the result will be NA.
"""


def _make_min_count_stat_function(
    cls,
    name: str,
    name1: str,
    name2: str,
    axis_descr: str,
    desc: str,
    func: Callable,
    see_also: str = "",
    examples: str = "",
) -> Callable:
    @doc(
        _num_doc,
        desc=desc,
        name1=name1,
        name2=name2,
        axis_descr=axis_descr,
        min_count=_min_count_stub,
        see_also=see_also,
        examples=examples,
    )
    def stat_func(
        self,
        axis=None,
        skipna=None,
        level=None,
        numeric_only=None,
        min_count=0,
        **kwargs,
    ):
        if name == "sum":
            nv.validate_sum(tuple(), kwargs)
        elif name == "prod":
            nv.validate_prod(tuple(), kwargs)
        else:
            nv.validate_stat_func(tuple(), kwargs, fname=name)
        if skipna is None:
            skipna = True
        if axis is None:
            axis = self._stat_axis_number
        if level is not None:
            return self._agg_by_level(
                name, axis=axis, level=level, skipna=skipna, min_count=min_count
            )
        return self._reduce(
            func,
            name=name,
            axis=axis,
            skipna=skipna,
            numeric_only=numeric_only,
            min_count=min_count,
        )

    return set_function_name(stat_func, name, cls)


def _make_stat_function(
    cls,
    name: str,
    name1: str,
    name2: str,
    axis_descr: str,
    desc: str,
    func: Callable,
    see_also: str = "",
    examples: str = "",
) -> Callable:
    @doc(
        _num_doc,
        desc=desc,
        name1=name1,
        name2=name2,
        axis_descr=axis_descr,
        min_count="",
        see_also=see_also,
        examples=examples,
    )
    def stat_func(
        self, axis=None, skipna=None, level=None, numeric_only=None, **kwargs
    ):
        if name == "median":
            nv.validate_median(tuple(), kwargs)
        else:
            nv.validate_stat_func(tuple(), kwargs, fname=name)
        if skipna is None:
            skipna = True
        if axis is None:
            axis = self._stat_axis_number
        if level is not None:
            return self._agg_by_level(name, axis=axis, level=level, skipna=skipna)
        return self._reduce(
            func, name=name, axis=axis, skipna=skipna, numeric_only=numeric_only
        )

    return set_function_name(stat_func, name, cls)


def _make_stat_function_ddof(
    cls, name: str, name1: str, name2: str, axis_descr: str, desc: str, func: Callable
) -> Callable:
    @doc(_num_ddof_doc, desc=desc, name1=name1, name2=name2, axis_descr=axis_descr)
    def stat_func(
        self, axis=None, skipna=None, level=None, ddof=1, numeric_only=None, **kwargs
    ):
        nv.validate_stat_ddof_func(tuple(), kwargs, fname=name)
        if skipna is None:
            skipna = True
        if axis is None:
            axis = self._stat_axis_number
        if level is not None:
            return self._agg_by_level(
                name, axis=axis, level=level, skipna=skipna, ddof=ddof
            )
        return self._reduce(
            func, name, axis=axis, numeric_only=numeric_only, skipna=skipna, ddof=ddof
        )

    return set_function_name(stat_func, name, cls)


def _make_cum_function(
    cls,
    name: str,
    name1: str,
    name2: str,
    axis_descr: str,
    desc: str,
    accum_func: Callable,
    accum_func_name: str,
    examples: str,
) -> Callable:
    @doc(
        _cnum_doc,
        desc=desc,
        name1=name1,
        name2=name2,
        axis_descr=axis_descr,
        accum_func_name=accum_func_name,
        examples=examples,
    )
    def cum_func(self, axis=None, skipna=True, *args, **kwargs):
        skipna = nv.validate_cum_func_with_skipna(skipna, args, kwargs, name)
        if axis is None:
            axis = self._stat_axis_number
        else:
            axis = self._get_axis_number(axis)

        if axis == 1:
            return cum_func(self.T, axis=0, skipna=skipna, *args, **kwargs).T

        def block_accum_func(blk_values):
            values = blk_values.T if hasattr(blk_values, "T") else blk_values

            result = nanops.na_accum_func(values, accum_func, skipna=skipna)

            result = result.T if hasattr(result, "T") else result
            return result

        result = self._mgr.apply(block_accum_func)

        return self._constructor(result).__finalize__(self, method=name)

    return set_function_name(cum_func, name, cls)


def _make_logical_function(
    cls,
    name: str,
    name1: str,
    name2: str,
    axis_descr: str,
    desc: str,
    func: Callable,
    see_also: str,
    examples: str,
    empty_value: bool,
) -> Callable:
    @doc(
        _bool_doc,
        desc=desc,
        name1=name1,
        name2=name2,
        axis_descr=axis_descr,
        see_also=see_also,
        examples=examples,
        empty_value=empty_value,
    )
    def logical_func(self, axis=0, bool_only=None, skipna=True, level=None, **kwargs):
        nv.validate_logical_func(tuple(), kwargs, fname=name)
        if level is not None:
            if bool_only is not None:
                raise NotImplementedError(
                    "Option bool_only is not implemented with option level."
                )
            return self._agg_by_level(name, axis=axis, level=level, skipna=skipna)

        if self.ndim > 1 and axis is None:
            # Reduce along one dimension then the other, to simplify DataFrame._reduce
            res = logical_func(
                self, axis=0, bool_only=bool_only, skipna=skipna, **kwargs
            )
            return logical_func(res, skipna=skipna, **kwargs)

        return self._reduce(
            func,
            name=name,
            axis=axis,
            skipna=skipna,
            numeric_only=bool_only,
            filter_type="bool",
        )

    return set_function_name(logical_func, name, cls)