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env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/executor.py

@@ -0,0 +1,239 @@
+from __future__ import annotations
+
+import functools
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    Callable,
+)
+
+if TYPE_CHECKING:
+    from pandas._typing import Scalar
+
+import numpy as np
+
+from pandas.compat._optional import import_optional_dependency
+
+
+@functools.cache
+def generate_apply_looper(func, nopython=True, nogil=True, parallel=False):
+    if TYPE_CHECKING:
+        import numba
+    else:
+        numba = import_optional_dependency("numba")
+    nb_compat_func = numba.extending.register_jitable(func)
+
+    @numba.jit(nopython=nopython, nogil=nogil, parallel=parallel)
+    def nb_looper(values, axis):
+        # Operate on the first row/col in order to get
+        # the output shape
+        if axis == 0:
+            first_elem = values[:, 0]
+            dim0 = values.shape[1]
+        else:
+            first_elem = values[0]
+            dim0 = values.shape[0]
+        res0 = nb_compat_func(first_elem)
+        # Use np.asarray to get shape for
+        # https://github.com/numba/numba/issues/4202#issuecomment-1185981507
+        buf_shape = (dim0,) + np.atleast_1d(np.asarray(res0)).shape
+        if axis == 0:
+            buf_shape = buf_shape[::-1]
+        buff = np.empty(buf_shape)
+
+        if axis == 1:
+            buff[0] = res0
+            for i in numba.prange(1, values.shape[0]):
+                buff[i] = nb_compat_func(values[i])
+        else:
+            buff[:, 0] = res0
+            for j in numba.prange(1, values.shape[1]):
+                buff[:, j] = nb_compat_func(values[:, j])
+        return buff
+
+    return nb_looper
+
+
+@functools.cache
+def make_looper(func, result_dtype, is_grouped_kernel, nopython, nogil, parallel):
+    if TYPE_CHECKING:
+        import numba
+    else:
+        numba = import_optional_dependency("numba")
+
+    if is_grouped_kernel:
+
+        @numba.jit(nopython=nopython, nogil=nogil, parallel=parallel)
+        def column_looper(
+            values: np.ndarray,
+            labels: np.ndarray,
+            ngroups: int,
+            min_periods: int,
+            *args,
+        ):
+            result = np.empty((values.shape[0], ngroups), dtype=result_dtype)
+            na_positions = {}
+            for i in numba.prange(values.shape[0]):
+                output, na_pos = func(
+                    values[i], result_dtype, labels, ngroups, min_periods, *args
+                )
+                result[i] = output
+                if len(na_pos) > 0:
+                    na_positions[i] = np.array(na_pos)
+            return result, na_positions
+
+    else:
+
+        @numba.jit(nopython=nopython, nogil=nogil, parallel=parallel)
+        def column_looper(
+            values: np.ndarray,
+            start: np.ndarray,
+            end: np.ndarray,
+            min_periods: int,
+            *args,
+        ):
+            result = np.empty((values.shape[0], len(start)), dtype=result_dtype)
+            na_positions = {}
+            for i in numba.prange(values.shape[0]):
+                output, na_pos = func(
+                    values[i], result_dtype, start, end, min_periods, *args
+                )
+                result[i] = output
+                if len(na_pos) > 0:
+                    na_positions[i] = np.array(na_pos)
+            return result, na_positions
+
+    return column_looper
+
+
+default_dtype_mapping: dict[np.dtype, Any] = {
+    np.dtype("int8"): np.int64,
+    np.dtype("int16"): np.int64,
+    np.dtype("int32"): np.int64,
+    np.dtype("int64"): np.int64,
+    np.dtype("uint8"): np.uint64,
+    np.dtype("uint16"): np.uint64,
+    np.dtype("uint32"): np.uint64,
+    np.dtype("uint64"): np.uint64,
+    np.dtype("float32"): np.float64,
+    np.dtype("float64"): np.float64,
+    np.dtype("complex64"): np.complex128,
+    np.dtype("complex128"): np.complex128,
+}
+
+
+# TODO: Preserve complex dtypes
+
+float_dtype_mapping: dict[np.dtype, Any] = {
+    np.dtype("int8"): np.float64,
+    np.dtype("int16"): np.float64,
+    np.dtype("int32"): np.float64,
+    np.dtype("int64"): np.float64,
+    np.dtype("uint8"): np.float64,
+    np.dtype("uint16"): np.float64,
+    np.dtype("uint32"): np.float64,
+    np.dtype("uint64"): np.float64,
+    np.dtype("float32"): np.float64,
+    np.dtype("float64"): np.float64,
+    np.dtype("complex64"): np.float64,
+    np.dtype("complex128"): np.float64,
+}
+
+identity_dtype_mapping: dict[np.dtype, Any] = {
+    np.dtype("int8"): np.int8,
+    np.dtype("int16"): np.int16,
+    np.dtype("int32"): np.int32,
+    np.dtype("int64"): np.int64,
+    np.dtype("uint8"): np.uint8,
+    np.dtype("uint16"): np.uint16,
+    np.dtype("uint32"): np.uint32,
+    np.dtype("uint64"): np.uint64,
+    np.dtype("float32"): np.float32,
+    np.dtype("float64"): np.float64,
+    np.dtype("complex64"): np.complex64,
+    np.dtype("complex128"): np.complex128,
+}
+
+
+def generate_shared_aggregator(
+    func: Callable[..., Scalar],
+    dtype_mapping: dict[np.dtype, np.dtype],
+    is_grouped_kernel: bool,
+    nopython: bool,
+    nogil: bool,
+    parallel: bool,
+):
+    """
+    Generate a Numba function that loops over the columns 2D object and applies
+    a 1D numba kernel over each column.
+
+    Parameters
+    ----------
+    func : function
+        aggregation function to be applied to each column
+    dtype_mapping: dict or None
+        If not None, maps a dtype to a result dtype.
+        Otherwise, will fall back to default mapping.
+    is_grouped_kernel: bool, default False
+        Whether func operates using the group labels (True)
+        or using starts/ends arrays
+
+        If true, you also need to pass the number of groups to this function
+    nopython : bool
+        nopython to be passed into numba.jit
+    nogil : bool
+        nogil to be passed into numba.jit
+    parallel : bool
+        parallel to be passed into numba.jit
+
+    Returns
+    -------
+    Numba function
+    """
+
+    # A wrapper around the looper function,
+    # to dispatch based on dtype since numba is unable to do that in nopython mode
+
+    # It also post-processes the values by inserting nans where number of observations
+    # is less than min_periods
+    # Cannot do this in numba nopython mode
+    # (you'll run into type-unification error when you cast int -> float)
+    def looper_wrapper(
+        values,
+        start=None,
+        end=None,
+        labels=None,
+        ngroups=None,
+        min_periods: int = 0,
+        **kwargs,
+    ):
+        result_dtype = dtype_mapping[values.dtype]
+        column_looper = make_looper(
+            func, result_dtype, is_grouped_kernel, nopython, nogil, parallel
+        )
+        # Need to unpack kwargs since numba only supports *args
+        if is_grouped_kernel:
+            result, na_positions = column_looper(
+                values, labels, ngroups, min_periods, *kwargs.values()
+            )
+        else:
+            result, na_positions = column_looper(
+                values, start, end, min_periods, *kwargs.values()
+            )
+        if result.dtype.kind == "i":
+            # Look if na_positions is not empty
+            # If so, convert the whole block
+            # This is OK since int dtype cannot hold nan,
+            # so if min_periods not satisfied for 1 col, it is not satisfied for
+            # all columns at that index
+            for na_pos in na_positions.values():
+                if len(na_pos) > 0:
+                    result = result.astype("float64")
+                    break
+        # TODO: Optimize this
+        for i, na_pos in na_positions.items():
+            if len(na_pos) > 0:
+                result[i, na_pos] = np.nan
+        return result
+
+    return looper_wrapper

env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/extensions.py

@@ -0,0 +1,584 @@
+# Disable type checking for this module since numba's internals
+# are not typed, and we use numba's internals via its extension API
+# mypy: ignore-errors
+"""
+Utility classes/functions to let numba recognize
+pandas Index/Series/DataFrame
+
+Mostly vendored from https://github.com/numba/numba/blob/main/numba/tests/pdlike_usecase.py
+"""
+
+from __future__ import annotations
+
+from contextlib import contextmanager
+import operator
+
+import numba
+from numba import types
+from numba.core import cgutils
+from numba.core.datamodel import models
+from numba.core.extending import (
+    NativeValue,
+    box,
+    lower_builtin,
+    make_attribute_wrapper,
+    overload,
+    overload_attribute,
+    overload_method,
+    register_model,
+    type_callable,
+    typeof_impl,
+    unbox,
+)
+from numba.core.imputils import impl_ret_borrowed
+import numpy as np
+
+from pandas._libs import lib
+
+from pandas.core.indexes.base import Index
+from pandas.core.indexing import _iLocIndexer
+from pandas.core.internals import SingleBlockManager
+from pandas.core.series import Series
+
+
+# Helper function to hack around fact that Index casts numpy string dtype to object
+#
+# Idea is to set an attribute on a Index called _numba_data
+# that is the original data, or the object data casted to numpy string dtype,
+# with a context manager that is unset afterwards
+@contextmanager
+def set_numba_data(index: Index):
+    numba_data = index._data
+    if numba_data.dtype == object:
+        if not lib.is_string_array(numba_data):
+            raise ValueError(
+                "The numba engine only supports using string or numeric column names"
+            )
+        numba_data = numba_data.astype("U")
+    try:
+        index._numba_data = numba_data
+        yield index
+    finally:
+        del index._numba_data
+
+
+# TODO: Range index support
+# (this currently lowers OK, but does not round-trip)
+class IndexType(types.Type):
+    """
+    The type class for Index objects.
+    """
+
+    def __init__(self, dtype, layout, pyclass: any) -> None:
+        self.pyclass = pyclass
+        name = f"index({dtype}, {layout})"
+        self.dtype = dtype
+        self.layout = layout
+        super().__init__(name)
+
+    @property
+    def key(self):
+        return self.pyclass, self.dtype, self.layout
+
+    @property
+    def as_array(self):
+        return types.Array(self.dtype, 1, self.layout)
+
+    def copy(self, dtype=None, ndim: int = 1, layout=None):
+        assert ndim == 1
+        if dtype is None:
+            dtype = self.dtype
+        layout = layout or self.layout
+        return type(self)(dtype, layout, self.pyclass)
+
+
+class SeriesType(types.Type):
+    """
+    The type class for Series objects.
+    """
+
+    def __init__(self, dtype, index, namety) -> None:
+        assert isinstance(index, IndexType)
+        self.dtype = dtype
+        self.index = index
+        self.values = types.Array(self.dtype, 1, "C")
+        self.namety = namety
+        name = f"series({dtype}, {index}, {namety})"
+        super().__init__(name)
+
+    @property
+    def key(self):
+        return self.dtype, self.index, self.namety
+
+    @property
+    def as_array(self):
+        return self.values
+
+    def copy(self, dtype=None, ndim: int = 1, layout: str = "C"):
+        assert ndim == 1
+        assert layout == "C"
+        if dtype is None:
+            dtype = self.dtype
+        return type(self)(dtype, self.index, self.namety)
+
+
+@typeof_impl.register(Index)
+def typeof_index(val, c):
+    """
+    This will assume that only strings are in object dtype
+    index.
+    (you should check this before this gets lowered down to numba)
+    """
+    # arrty = typeof_impl(val._data, c)
+    arrty = typeof_impl(val._numba_data, c)
+    assert arrty.ndim == 1
+    return IndexType(arrty.dtype, arrty.layout, type(val))
+
+
+@typeof_impl.register(Series)
+def typeof_series(val, c):
+    index = typeof_impl(val.index, c)
+    arrty = typeof_impl(val.values, c)
+    namety = typeof_impl(val.name, c)
+    assert arrty.ndim == 1
+    assert arrty.layout == "C"
+    return SeriesType(arrty.dtype, index, namety)
+
+
+@type_callable(Series)
+def type_series_constructor(context):
+    def typer(data, index, name=None):
+        if isinstance(index, IndexType) and isinstance(data, types.Array):
+            assert data.ndim == 1
+            if name is None:
+                name = types.intp
+            return SeriesType(data.dtype, index, name)
+
+    return typer
+
+
+@type_callable(Index)
+def type_index_constructor(context):
+    def typer(data, hashmap=None):
+        if isinstance(data, types.Array):
+            assert data.layout == "C"
+            assert data.ndim == 1
+            assert hashmap is None or isinstance(hashmap, types.DictType)
+            return IndexType(data.dtype, layout=data.layout, pyclass=Index)
+
+    return typer
+
+
+# Backend extensions for Index and Series and Frame
+@register_model(IndexType)
+class IndexModel(models.StructModel):
+    def __init__(self, dmm, fe_type) -> None:
+        # We don't want the numpy string scalar type in our hashmap
+        members = [
+            ("data", fe_type.as_array),
+            # This is an attempt to emulate our hashtable code with a numba
+            # typed dict
+            # It maps from values in the index to their integer positions in the array
+            ("hashmap", types.DictType(fe_type.dtype, types.intp)),
+            # Pointer to the Index object this was created from, or that it
+            # boxes to
+            # https://numba.discourse.group/t/qst-how-to-cache-the-boxing-of-an-object/2128/2?u=lithomas1
+            ("parent", types.pyobject),
+        ]
+        models.StructModel.__init__(self, dmm, fe_type, members)
+
+
+@register_model(SeriesType)
+class SeriesModel(models.StructModel):
+    def __init__(self, dmm, fe_type) -> None:
+        members = [
+            ("index", fe_type.index),
+            ("values", fe_type.as_array),
+            ("name", fe_type.namety),
+        ]
+        models.StructModel.__init__(self, dmm, fe_type, members)
+
+
+make_attribute_wrapper(IndexType, "data", "_data")
+make_attribute_wrapper(IndexType, "hashmap", "hashmap")
+
+make_attribute_wrapper(SeriesType, "index", "index")
+make_attribute_wrapper(SeriesType, "values", "values")
+make_attribute_wrapper(SeriesType, "name", "name")
+
+
+@lower_builtin(Series, types.Array, IndexType)
+def pdseries_constructor(context, builder, sig, args):
+    data, index = args
+    series = cgutils.create_struct_proxy(sig.return_type)(context, builder)
+    series.index = index
+    series.values = data
+    series.name = context.get_constant(types.intp, 0)
+    return impl_ret_borrowed(context, builder, sig.return_type, series._getvalue())
+
+
+@lower_builtin(Series, types.Array, IndexType, types.intp)
+@lower_builtin(Series, types.Array, IndexType, types.float64)
+@lower_builtin(Series, types.Array, IndexType, types.unicode_type)
+def pdseries_constructor_with_name(context, builder, sig, args):
+    data, index, name = args
+    series = cgutils.create_struct_proxy(sig.return_type)(context, builder)
+    series.index = index
+    series.values = data
+    series.name = name
+    return impl_ret_borrowed(context, builder, sig.return_type, series._getvalue())
+
+
+@lower_builtin(Index, types.Array, types.DictType, types.pyobject)
+def index_constructor_2arg(context, builder, sig, args):
+    (data, hashmap, parent) = args
+    index = cgutils.create_struct_proxy(sig.return_type)(context, builder)
+
+    index.data = data
+    index.hashmap = hashmap
+    index.parent = parent
+    return impl_ret_borrowed(context, builder, sig.return_type, index._getvalue())
+
+
+@lower_builtin(Index, types.Array, types.DictType)
+def index_constructor_2arg_parent(context, builder, sig, args):
+    # Basically same as index_constructor_1arg, but also lets you specify the
+    # parent object
+    (data, hashmap) = args
+    index = cgutils.create_struct_proxy(sig.return_type)(context, builder)
+
+    index.data = data
+    index.hashmap = hashmap
+    return impl_ret_borrowed(context, builder, sig.return_type, index._getvalue())
+
+
+@lower_builtin(Index, types.Array)
+def index_constructor_1arg(context, builder, sig, args):
+    from numba.typed import Dict
+
+    key_type = sig.return_type.dtype
+    value_type = types.intp
+
+    def index_impl(data):
+        return Index(data, Dict.empty(key_type, value_type))
+
+    return context.compile_internal(builder, index_impl, sig, args)
+
+
+# Helper to convert the unicodecharseq (numpy string scalar) into a unicode_type
+# (regular string)
+def maybe_cast_str(x):
+    # Dummy function that numba can overload
+    pass
+
+
+@overload(maybe_cast_str)
+def maybe_cast_str_impl(x):
+    """Converts numba UnicodeCharSeq (numpy string scalar) -> unicode type (string).
+    Is a no-op for other types."""
+    if isinstance(x, types.UnicodeCharSeq):
+        return lambda x: str(x)
+    else:
+        return lambda x: x
+
+
+@unbox(IndexType)
+def unbox_index(typ, obj, c):
+    """
+    Convert a Index object to a native structure.
+
+    Note: Object dtype is not allowed here
+    """
+    data_obj = c.pyapi.object_getattr_string(obj, "_numba_data")
+    index = cgutils.create_struct_proxy(typ)(c.context, c.builder)
+    # If we see an object array, assume its been validated as only containing strings
+    # We still need to do the conversion though
+    index.data = c.unbox(typ.as_array, data_obj).value
+    typed_dict_obj = c.pyapi.unserialize(c.pyapi.serialize_object(numba.typed.Dict))
+    # Create an empty typed dict in numba for the hashmap for indexing
+    # equiv of numba.typed.Dict.empty(typ.dtype, types.intp)
+    arr_type_obj = c.pyapi.unserialize(c.pyapi.serialize_object(typ.dtype))
+    intp_type_obj = c.pyapi.unserialize(c.pyapi.serialize_object(types.intp))
+    hashmap_obj = c.pyapi.call_method(
+        typed_dict_obj, "empty", (arr_type_obj, intp_type_obj)
+    )
+    index.hashmap = c.unbox(types.DictType(typ.dtype, types.intp), hashmap_obj).value
+    # Set the parent for speedy boxing.
+    index.parent = obj
+
+    # Decrefs
+    c.pyapi.decref(data_obj)
+    c.pyapi.decref(arr_type_obj)
+    c.pyapi.decref(intp_type_obj)
+    c.pyapi.decref(typed_dict_obj)
+
+    return NativeValue(index._getvalue())
+
+
+@unbox(SeriesType)
+def unbox_series(typ, obj, c):
+    """
+    Convert a Series object to a native structure.
+    """
+    index_obj = c.pyapi.object_getattr_string(obj, "index")
+    values_obj = c.pyapi.object_getattr_string(obj, "values")
+    name_obj = c.pyapi.object_getattr_string(obj, "name")
+
+    series = cgutils.create_struct_proxy(typ)(c.context, c.builder)
+    series.index = c.unbox(typ.index, index_obj).value
+    series.values = c.unbox(typ.values, values_obj).value
+    series.name = c.unbox(typ.namety, name_obj).value
+
+    # Decrefs
+    c.pyapi.decref(index_obj)
+    c.pyapi.decref(values_obj)
+    c.pyapi.decref(name_obj)
+
+    return NativeValue(series._getvalue())
+
+
+@box(IndexType)
+def box_index(typ, val, c):
+    """
+    Convert a native index structure to a Index object.
+
+    If our native index is of a numpy string dtype, we'll cast it to
+    object.
+    """
+    # First build a Numpy array object, then wrap it in a Index
+    index = cgutils.create_struct_proxy(typ)(c.context, c.builder, value=val)
+
+    res = cgutils.alloca_once_value(c.builder, index.parent)
+
+    # Does parent exist?
+    # (it means already boxed once, or Index same as original df.index or df.columns)
+    # xref https://github.com/numba/numba/blob/596e8a55334cc46854e3192766e643767bd7c934/numba/core/boxing.py#L593C17-L593C17
+    with c.builder.if_else(cgutils.is_not_null(c.builder, index.parent)) as (
+        has_parent,
+        otherwise,
+    ):
+        with has_parent:
+            c.pyapi.incref(index.parent)
+        with otherwise:
+            # TODO: preserve the original class for the index
+            # Also need preserve the name of the Index
+            # class_obj = c.pyapi.unserialize(c.pyapi.serialize_object(typ.pyclass))
+            class_obj = c.pyapi.unserialize(c.pyapi.serialize_object(Index))
+            array_obj = c.box(typ.as_array, index.data)
+            if isinstance(typ.dtype, types.UnicodeCharSeq):
+                # We converted to numpy string dtype, convert back
+                # to object since _simple_new won't do that for uss
+                object_str_obj = c.pyapi.unserialize(c.pyapi.serialize_object("object"))
+                array_obj = c.pyapi.call_method(array_obj, "astype", (object_str_obj,))
+                c.pyapi.decref(object_str_obj)
+            # this is basically Index._simple_new(array_obj, name_obj) in python
+            index_obj = c.pyapi.call_method(class_obj, "_simple_new", (array_obj,))
+            index.parent = index_obj
+            c.builder.store(index_obj, res)
+
+            # Decrefs
+            c.pyapi.decref(class_obj)
+            c.pyapi.decref(array_obj)
+    return c.builder.load(res)
+
+
+@box(SeriesType)
+def box_series(typ, val, c):
+    """
+    Convert a native series structure to a Series object.
+    """
+    series = cgutils.create_struct_proxy(typ)(c.context, c.builder, value=val)
+    series_const_obj = c.pyapi.unserialize(c.pyapi.serialize_object(Series._from_mgr))
+    mgr_const_obj = c.pyapi.unserialize(
+        c.pyapi.serialize_object(SingleBlockManager.from_array)
+    )
+    index_obj = c.box(typ.index, series.index)
+    array_obj = c.box(typ.as_array, series.values)
+    name_obj = c.box(typ.namety, series.name)
+    # This is basically equivalent of
+    # pd.Series(data=array_obj, index=index_obj)
+    # To improve perf, we will construct the Series from a manager
+    # object to avoid checks.
+    # We'll also set the name attribute manually to avoid validation
+    mgr_obj = c.pyapi.call_function_objargs(
+        mgr_const_obj,
+        (
+            array_obj,
+            index_obj,
+        ),
+    )
+    mgr_axes_obj = c.pyapi.object_getattr_string(mgr_obj, "axes")
+    # Series._constructor_from_mgr(mgr, axes)
+    series_obj = c.pyapi.call_function_objargs(
+        series_const_obj, (mgr_obj, mgr_axes_obj)
+    )
+    c.pyapi.object_setattr_string(series_obj, "_name", name_obj)
+
+    # Decrefs
+    c.pyapi.decref(series_const_obj)
+    c.pyapi.decref(mgr_axes_obj)
+    c.pyapi.decref(mgr_obj)
+    c.pyapi.decref(mgr_const_obj)
+    c.pyapi.decref(index_obj)
+    c.pyapi.decref(array_obj)
+    c.pyapi.decref(name_obj)
+
+    return series_obj
+
+
+# Add common series reductions (e.g. mean, sum),
+# and also add common binops (e.g. add, sub, mul, div)
+def generate_series_reduction(ser_reduction, ser_method):
+    @overload_method(SeriesType, ser_reduction)
+    def series_reduction(series):
+        def series_reduction_impl(series):
+            return ser_method(series.values)
+
+        return series_reduction_impl
+
+    return series_reduction
+
+
+def generate_series_binop(binop):
+    @overload(binop)
+    def series_binop(series1, value):
+        if isinstance(series1, SeriesType):
+            if isinstance(value, SeriesType):
+
+                def series_binop_impl(series1, series2):
+                    # TODO: Check index matching?
+                    return Series(
+                        binop(series1.values, series2.values),
+                        series1.index,
+                        series1.name,
+                    )
+
+                return series_binop_impl
+            else:
+
+                def series_binop_impl(series1, value):
+                    return Series(
+                        binop(series1.values, value), series1.index, series1.name
+                    )
+
+                return series_binop_impl
+
+    return series_binop
+
+
+series_reductions = [
+    ("sum", np.sum),
+    ("mean", np.mean),
+    # Disabled due to discrepancies between numba std. dev
+    # and pandas std. dev (no way to specify dof)
+    # ("std", np.std),
+    # ("var", np.var),
+    ("min", np.min),
+    ("max", np.max),
+]
+for reduction, reduction_method in series_reductions:
+    generate_series_reduction(reduction, reduction_method)
+
+series_binops = [operator.add, operator.sub, operator.mul, operator.truediv]
+
+for ser_binop in series_binops:
+    generate_series_binop(ser_binop)
+
+
+# get_loc on Index
+@overload_method(IndexType, "get_loc")
+def index_get_loc(index, item):
+    def index_get_loc_impl(index, item):
+        # Initialize the hash table if not initialized
+        if len(index.hashmap) == 0:
+            for i, val in enumerate(index._data):
+                index.hashmap[val] = i
+        return index.hashmap[item]
+
+    return index_get_loc_impl
+
+
+# Indexing for Series/Index
+@overload(operator.getitem)
+def series_indexing(series, item):
+    if isinstance(series, SeriesType):
+
+        def series_getitem(series, item):
+            loc = series.index.get_loc(item)
+            return series.iloc[loc]
+
+        return series_getitem
+
+
+@overload(operator.getitem)
+def index_indexing(index, idx):
+    if isinstance(index, IndexType):
+
+        def index_getitem(index, idx):
+            return index._data[idx]
+
+        return index_getitem
+
+
+class IlocType(types.Type):
+    def __init__(self, obj_type) -> None:
+        self.obj_type = obj_type
+        name = f"iLocIndexer({obj_type})"
+        super().__init__(name=name)
+
+    @property
+    def key(self):
+        return self.obj_type
+
+
+@typeof_impl.register(_iLocIndexer)
+def typeof_iloc(val, c):
+    objtype = typeof_impl(val.obj, c)
+    return IlocType(objtype)
+
+
+@type_callable(_iLocIndexer)
+def type_iloc_constructor(context):
+    def typer(obj):
+        if isinstance(obj, SeriesType):
+            return IlocType(obj)
+
+    return typer
+
+
+@lower_builtin(_iLocIndexer, SeriesType)
+def iloc_constructor(context, builder, sig, args):
+    (obj,) = args
+    iloc_indexer = cgutils.create_struct_proxy(sig.return_type)(context, builder)
+    iloc_indexer.obj = obj
+    return impl_ret_borrowed(
+        context, builder, sig.return_type, iloc_indexer._getvalue()
+    )
+
+
+@register_model(IlocType)
+class ILocModel(models.StructModel):
+    def __init__(self, dmm, fe_type) -> None:
+        members = [("obj", fe_type.obj_type)]
+        models.StructModel.__init__(self, dmm, fe_type, members)
+
+
+make_attribute_wrapper(IlocType, "obj", "obj")
+
+
+@overload_attribute(SeriesType, "iloc")
+def series_iloc(series):
+    def get(series):
+        return _iLocIndexer(series)
+
+    return get
+
+
+@overload(operator.getitem)
+def iloc_getitem(iloc_indexer, i):
+    if isinstance(iloc_indexer, IlocType):
+
+        def getitem_impl(iloc_indexer, i):
+            return iloc_indexer.obj.values[i]
+
+        return getitem_impl

env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/kernels/__init__.py

@@ -0,0 +1,27 @@
+from pandas.core._numba.kernels.mean_ import (
+    grouped_mean,
+    sliding_mean,
+)
+from pandas.core._numba.kernels.min_max_ import (
+    grouped_min_max,
+    sliding_min_max,
+)
+from pandas.core._numba.kernels.sum_ import (
+    grouped_sum,
+    sliding_sum,
+)
+from pandas.core._numba.kernels.var_ import (
+    grouped_var,
+    sliding_var,
+)
+
+__all__ = [
+    "sliding_mean",
+    "grouped_mean",
+    "sliding_sum",
+    "grouped_sum",
+    "sliding_var",
+    "grouped_var",
+    "sliding_min_max",
+    "grouped_min_max",
+]

env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/kernels/mean_.py

@@ -0,0 +1,196 @@
+"""
+Numba 1D mean kernels that can be shared by
+* Dataframe / Series
+* groupby
+* rolling / expanding
+
+Mirrors pandas/_libs/window/aggregation.pyx
+"""
+from __future__ import annotations
+
+from typing import TYPE_CHECKING
+
+import numba
+import numpy as np
+
+from pandas.core._numba.kernels.shared import is_monotonic_increasing
+from pandas.core._numba.kernels.sum_ import grouped_kahan_sum
+
+if TYPE_CHECKING:
+    from pandas._typing import npt
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def add_mean(
+    val: float,
+    nobs: int,
+    sum_x: float,
+    neg_ct: int,
+    compensation: float,
+    num_consecutive_same_value: int,
+    prev_value: float,
+) -> tuple[int, float, int, float, int, float]:
+    if not np.isnan(val):
+        nobs += 1
+        y = val - compensation
+        t = sum_x + y
+        compensation = t - sum_x - y
+        sum_x = t
+        if val < 0:
+            neg_ct += 1
+
+        if val == prev_value:
+            num_consecutive_same_value += 1
+        else:
+            num_consecutive_same_value = 1
+        prev_value = val
+
+    return nobs, sum_x, neg_ct, compensation, num_consecutive_same_value, prev_value
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def remove_mean(
+    val: float, nobs: int, sum_x: float, neg_ct: int, compensation: float
+) -> tuple[int, float, int, float]:
+    if not np.isnan(val):
+        nobs -= 1
+        y = -val - compensation
+        t = sum_x + y
+        compensation = t - sum_x - y
+        sum_x = t
+        if val < 0:
+            neg_ct -= 1
+    return nobs, sum_x, neg_ct, compensation
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def sliding_mean(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    start: np.ndarray,
+    end: np.ndarray,
+    min_periods: int,
+) -> tuple[np.ndarray, list[int]]:
+    N = len(start)
+    nobs = 0
+    sum_x = 0.0
+    neg_ct = 0
+    compensation_add = 0.0
+    compensation_remove = 0.0
+
+    is_monotonic_increasing_bounds = is_monotonic_increasing(
+        start
+    ) and is_monotonic_increasing(end)
+
+    output = np.empty(N, dtype=result_dtype)
+
+    for i in range(N):
+        s = start[i]
+        e = end[i]
+        if i == 0 or not is_monotonic_increasing_bounds:
+            prev_value = values[s]
+            num_consecutive_same_value = 0
+
+            for j in range(s, e):
+                val = values[j]
+                (
+                    nobs,
+                    sum_x,
+                    neg_ct,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                ) = add_mean(
+                    val,
+                    nobs,
+                    sum_x,
+                    neg_ct,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,  # pyright: ignore[reportGeneralTypeIssues]
+                )
+        else:
+            for j in range(start[i - 1], s):
+                val = values[j]
+                nobs, sum_x, neg_ct, compensation_remove = remove_mean(
+                    val, nobs, sum_x, neg_ct, compensation_remove
+                )
+
+            for j in range(end[i - 1], e):
+                val = values[j]
+                (
+                    nobs,
+                    sum_x,
+                    neg_ct,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                ) = add_mean(
+                    val,
+                    nobs,
+                    sum_x,
+                    neg_ct,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,  # pyright: ignore[reportGeneralTypeIssues]
+                )
+
+        if nobs >= min_periods and nobs > 0:
+            result = sum_x / nobs
+            if num_consecutive_same_value >= nobs:
+                result = prev_value
+            elif neg_ct == 0 and result < 0:
+                result = 0
+            elif neg_ct == nobs and result > 0:
+                result = 0
+        else:
+            result = np.nan
+
+        output[i] = result
+
+        if not is_monotonic_increasing_bounds:
+            nobs = 0
+            sum_x = 0.0
+            neg_ct = 0
+            compensation_remove = 0.0
+
+    # na_position is empty list since float64 can already hold nans
+    # Do list comprehension, since numba cannot figure out that na_pos is
+    # empty list of ints on its own
+    na_pos = [0 for i in range(0)]
+    return output, na_pos
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def grouped_mean(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    labels: npt.NDArray[np.intp],
+    ngroups: int,
+    min_periods: int,
+) -> tuple[np.ndarray, list[int]]:
+    output, nobs_arr, comp_arr, consecutive_counts, prev_vals = grouped_kahan_sum(
+        values, result_dtype, labels, ngroups
+    )
+
+    # Post-processing, replace sums that don't satisfy min_periods
+    for lab in range(ngroups):
+        nobs = nobs_arr[lab]
+        num_consecutive_same_value = consecutive_counts[lab]
+        prev_value = prev_vals[lab]
+        sum_x = output[lab]
+        if nobs >= min_periods:
+            if num_consecutive_same_value >= nobs:
+                result = prev_value * nobs
+            else:
+                result = sum_x
+        else:
+            result = np.nan
+        result /= nobs
+        output[lab] = result
+
+    # na_position is empty list since float64 can already hold nans
+    # Do list comprehension, since numba cannot figure out that na_pos is
+    # empty list of ints on its own
+    na_pos = [0 for i in range(0)]
+    return output, na_pos

env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/kernels/min_max_.py

@@ -0,0 +1,125 @@
+"""
+Numba 1D min/max kernels that can be shared by
+* Dataframe / Series
+* groupby
+* rolling / expanding
+
+Mirrors pandas/_libs/window/aggregation.pyx
+"""
+from __future__ import annotations
+
+from typing import TYPE_CHECKING
+
+import numba
+import numpy as np
+
+if TYPE_CHECKING:
+    from pandas._typing import npt
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def sliding_min_max(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    start: np.ndarray,
+    end: np.ndarray,
+    min_periods: int,
+    is_max: bool,
+) -> tuple[np.ndarray, list[int]]:
+    N = len(start)
+    nobs = 0
+    output = np.empty(N, dtype=result_dtype)
+    na_pos = []
+    # Use deque once numba supports it
+    # https://github.com/numba/numba/issues/7417
+    Q: list = []
+    W: list = []
+    for i in range(N):
+        curr_win_size = end[i] - start[i]
+        if i == 0:
+            st = start[i]
+        else:
+            st = end[i - 1]
+
+        for k in range(st, end[i]):
+            ai = values[k]
+            if not np.isnan(ai):
+                nobs += 1
+            elif is_max:
+                ai = -np.inf
+            else:
+                ai = np.inf
+            # Discard previous entries if we find new min or max
+            if is_max:
+                while Q and ((ai >= values[Q[-1]]) or values[Q[-1]] != values[Q[-1]]):
+                    Q.pop()
+            else:
+                while Q and ((ai <= values[Q[-1]]) or values[Q[-1]] != values[Q[-1]]):
+                    Q.pop()
+            Q.append(k)
+            W.append(k)
+
+        # Discard entries outside and left of current window
+        while Q and Q[0] <= start[i] - 1:
+            Q.pop(0)
+        while W and W[0] <= start[i] - 1:
+            if not np.isnan(values[W[0]]):
+                nobs -= 1
+            W.pop(0)
+
+        # Save output based on index in input value array
+        if Q and curr_win_size > 0 and nobs >= min_periods:
+            output[i] = values[Q[0]]
+        else:
+            if values.dtype.kind != "i":
+                output[i] = np.nan
+            else:
+                na_pos.append(i)
+
+    return output, na_pos
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def grouped_min_max(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    labels: npt.NDArray[np.intp],
+    ngroups: int,
+    min_periods: int,
+    is_max: bool,
+) -> tuple[np.ndarray, list[int]]:
+    N = len(labels)
+    nobs = np.zeros(ngroups, dtype=np.int64)
+    na_pos = []
+    output = np.empty(ngroups, dtype=result_dtype)
+
+    for i in range(N):
+        lab = labels[i]
+        val = values[i]
+        if lab < 0:
+            continue
+
+        if values.dtype.kind == "i" or not np.isnan(val):
+            nobs[lab] += 1
+        else:
+            # NaN value cannot be a min/max value
+            continue
+
+        if nobs[lab] == 1:
+            # First element in group, set output equal to this
+            output[lab] = val
+            continue
+
+        if is_max:
+            if val > output[lab]:
+                output[lab] = val
+        else:
+            if val < output[lab]:
+                output[lab] = val
+
+    # Set labels that don't satisfy min_periods as np.nan
+    for lab, count in enumerate(nobs):
+        if count < min_periods:
+            na_pos.append(lab)
+
+    return output, na_pos

env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/kernels/shared.py

@@ -0,0 +1,29 @@
+from __future__ import annotations
+
+from typing import TYPE_CHECKING
+
+import numba
+
+if TYPE_CHECKING:
+    import numpy as np
+
+
+@numba.jit(
+    # error: Any? not callable
+    numba.boolean(numba.int64[:]),  # type: ignore[misc]
+    nopython=True,
+    nogil=True,
+    parallel=False,
+)
+def is_monotonic_increasing(bounds: np.ndarray) -> bool:
+    """Check if int64 values are monotonically increasing."""
+    n = len(bounds)
+    if n < 2:
+        return True
+    prev = bounds[0]
+    for i in range(1, n):
+        cur = bounds[i]
+        if cur < prev:
+            return False
+        prev = cur
+    return True

env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/kernels/sum_.py

@@ -0,0 +1,244 @@
+"""
+Numba 1D sum kernels that can be shared by
+* Dataframe / Series
+* groupby
+* rolling / expanding
+
+Mirrors pandas/_libs/window/aggregation.pyx
+"""
+from __future__ import annotations
+
+from typing import (
+    TYPE_CHECKING,
+    Any,
+)
+
+import numba
+from numba.extending import register_jitable
+import numpy as np
+
+if TYPE_CHECKING:
+    from pandas._typing import npt
+
+from pandas.core._numba.kernels.shared import is_monotonic_increasing
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def add_sum(
+    val: Any,
+    nobs: int,
+    sum_x: Any,
+    compensation: Any,
+    num_consecutive_same_value: int,
+    prev_value: Any,
+) -> tuple[int, Any, Any, int, Any]:
+    if not np.isnan(val):
+        nobs += 1
+        y = val - compensation
+        t = sum_x + y
+        compensation = t - sum_x - y
+        sum_x = t
+
+        if val == prev_value:
+            num_consecutive_same_value += 1
+        else:
+            num_consecutive_same_value = 1
+        prev_value = val
+
+    return nobs, sum_x, compensation, num_consecutive_same_value, prev_value
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def remove_sum(
+    val: Any, nobs: int, sum_x: Any, compensation: Any
+) -> tuple[int, Any, Any]:
+    if not np.isnan(val):
+        nobs -= 1
+        y = -val - compensation
+        t = sum_x + y
+        compensation = t - sum_x - y
+        sum_x = t
+    return nobs, sum_x, compensation
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def sliding_sum(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    start: np.ndarray,
+    end: np.ndarray,
+    min_periods: int,
+) -> tuple[np.ndarray, list[int]]:
+    dtype = values.dtype
+
+    na_val: object = np.nan
+    if dtype.kind == "i":
+        na_val = 0
+
+    N = len(start)
+    nobs = 0
+    sum_x = 0
+    compensation_add = 0
+    compensation_remove = 0
+    na_pos = []
+
+    is_monotonic_increasing_bounds = is_monotonic_increasing(
+        start
+    ) and is_monotonic_increasing(end)
+
+    output = np.empty(N, dtype=result_dtype)
+
+    for i in range(N):
+        s = start[i]
+        e = end[i]
+        if i == 0 or not is_monotonic_increasing_bounds:
+            prev_value = values[s]
+            num_consecutive_same_value = 0
+
+            for j in range(s, e):
+                val = values[j]
+                (
+                    nobs,
+                    sum_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                ) = add_sum(
+                    val,
+                    nobs,
+                    sum_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                )
+        else:
+            for j in range(start[i - 1], s):
+                val = values[j]
+                nobs, sum_x, compensation_remove = remove_sum(
+                    val, nobs, sum_x, compensation_remove
+                )
+
+            for j in range(end[i - 1], e):
+                val = values[j]
+                (
+                    nobs,
+                    sum_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                ) = add_sum(
+                    val,
+                    nobs,
+                    sum_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                )
+
+        if nobs == 0 == min_periods:
+            result: object = 0
+        elif nobs >= min_periods:
+            if num_consecutive_same_value >= nobs:
+                result = prev_value * nobs
+            else:
+                result = sum_x
+        else:
+            result = na_val
+            if dtype.kind == "i":
+                na_pos.append(i)
+
+        output[i] = result
+
+        if not is_monotonic_increasing_bounds:
+            nobs = 0
+            sum_x = 0
+            compensation_remove = 0
+
+    return output, na_pos
+
+
+# Mypy/pyright don't like the fact that the decorator is untyped
+@register_jitable  # type: ignore[misc]
+def grouped_kahan_sum(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    labels: npt.NDArray[np.intp],
+    ngroups: int,
+) -> tuple[
+    np.ndarray, npt.NDArray[np.int64], np.ndarray, npt.NDArray[np.int64], np.ndarray
+]:
+    N = len(labels)
+
+    nobs_arr = np.zeros(ngroups, dtype=np.int64)
+    comp_arr = np.zeros(ngroups, dtype=values.dtype)
+    consecutive_counts = np.zeros(ngroups, dtype=np.int64)
+    prev_vals = np.zeros(ngroups, dtype=values.dtype)
+    output = np.zeros(ngroups, dtype=result_dtype)
+
+    for i in range(N):
+        lab = labels[i]
+        val = values[i]
+
+        if lab < 0:
+            continue
+
+        sum_x = output[lab]
+        nobs = nobs_arr[lab]
+        compensation_add = comp_arr[lab]
+        num_consecutive_same_value = consecutive_counts[lab]
+        prev_value = prev_vals[lab]
+
+        (
+            nobs,
+            sum_x,
+            compensation_add,
+            num_consecutive_same_value,
+            prev_value,
+        ) = add_sum(
+            val,
+            nobs,
+            sum_x,
+            compensation_add,
+            num_consecutive_same_value,
+            prev_value,
+        )
+
+        output[lab] = sum_x
+        consecutive_counts[lab] = num_consecutive_same_value
+        prev_vals[lab] = prev_value
+        comp_arr[lab] = compensation_add
+        nobs_arr[lab] = nobs
+    return output, nobs_arr, comp_arr, consecutive_counts, prev_vals
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def grouped_sum(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    labels: npt.NDArray[np.intp],
+    ngroups: int,
+    min_periods: int,
+) -> tuple[np.ndarray, list[int]]:
+    na_pos = []
+
+    output, nobs_arr, comp_arr, consecutive_counts, prev_vals = grouped_kahan_sum(
+        values, result_dtype, labels, ngroups
+    )
+
+    # Post-processing, replace sums that don't satisfy min_periods
+    for lab in range(ngroups):
+        nobs = nobs_arr[lab]
+        num_consecutive_same_value = consecutive_counts[lab]
+        prev_value = prev_vals[lab]
+        sum_x = output[lab]
+        if nobs >= min_periods:
+            if num_consecutive_same_value >= nobs:
+                result = prev_value * nobs
+            else:
+                result = sum_x
+        else:
+            result = sum_x  # Don't change val, will be replaced by nan later
+            na_pos.append(lab)
+        output[lab] = result
+
+    return output, na_pos

env-llmeval/lib/python3.10/site-packages/pandas/core/_numba/kernels/var_.py

@@ -0,0 +1,245 @@
+"""
+Numba 1D var kernels that can be shared by
+* Dataframe / Series
+* groupby
+* rolling / expanding
+
+Mirrors pandas/_libs/window/aggregation.pyx
+"""
+from __future__ import annotations
+
+from typing import TYPE_CHECKING
+
+import numba
+import numpy as np
+
+if TYPE_CHECKING:
+    from pandas._typing import npt
+
+from pandas.core._numba.kernels.shared import is_monotonic_increasing
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def add_var(
+    val: float,
+    nobs: int,
+    mean_x: float,
+    ssqdm_x: float,
+    compensation: float,
+    num_consecutive_same_value: int,
+    prev_value: float,
+) -> tuple[int, float, float, float, int, float]:
+    if not np.isnan(val):
+        if val == prev_value:
+            num_consecutive_same_value += 1
+        else:
+            num_consecutive_same_value = 1
+        prev_value = val
+
+        nobs += 1
+        prev_mean = mean_x - compensation
+        y = val - compensation
+        t = y - mean_x
+        compensation = t + mean_x - y
+        delta = t
+        if nobs:
+            mean_x += delta / nobs
+        else:
+            mean_x = 0
+        ssqdm_x += (val - prev_mean) * (val - mean_x)
+    return nobs, mean_x, ssqdm_x, compensation, num_consecutive_same_value, prev_value
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def remove_var(
+    val: float, nobs: int, mean_x: float, ssqdm_x: float, compensation: float
+) -> tuple[int, float, float, float]:
+    if not np.isnan(val):
+        nobs -= 1
+        if nobs:
+            prev_mean = mean_x - compensation
+            y = val - compensation
+            t = y - mean_x
+            compensation = t + mean_x - y
+            delta = t
+            mean_x -= delta / nobs
+            ssqdm_x -= (val - prev_mean) * (val - mean_x)
+        else:
+            mean_x = 0
+            ssqdm_x = 0
+    return nobs, mean_x, ssqdm_x, compensation
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def sliding_var(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    start: np.ndarray,
+    end: np.ndarray,
+    min_periods: int,
+    ddof: int = 1,
+) -> tuple[np.ndarray, list[int]]:
+    N = len(start)
+    nobs = 0
+    mean_x = 0.0
+    ssqdm_x = 0.0
+    compensation_add = 0.0
+    compensation_remove = 0.0
+
+    min_periods = max(min_periods, 1)
+    is_monotonic_increasing_bounds = is_monotonic_increasing(
+        start
+    ) and is_monotonic_increasing(end)
+
+    output = np.empty(N, dtype=result_dtype)
+
+    for i in range(N):
+        s = start[i]
+        e = end[i]
+        if i == 0 or not is_monotonic_increasing_bounds:
+            prev_value = values[s]
+            num_consecutive_same_value = 0
+
+            for j in range(s, e):
+                val = values[j]
+                (
+                    nobs,
+                    mean_x,
+                    ssqdm_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                ) = add_var(
+                    val,
+                    nobs,
+                    mean_x,
+                    ssqdm_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                )
+        else:
+            for j in range(start[i - 1], s):
+                val = values[j]
+                nobs, mean_x, ssqdm_x, compensation_remove = remove_var(
+                    val, nobs, mean_x, ssqdm_x, compensation_remove
+                )
+
+            for j in range(end[i - 1], e):
+                val = values[j]
+                (
+                    nobs,
+                    mean_x,
+                    ssqdm_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                ) = add_var(
+                    val,
+                    nobs,
+                    mean_x,
+                    ssqdm_x,
+                    compensation_add,
+                    num_consecutive_same_value,
+                    prev_value,
+                )
+
+        if nobs >= min_periods and nobs > ddof:
+            if nobs == 1 or num_consecutive_same_value >= nobs:
+                result = 0.0
+            else:
+                result = ssqdm_x / (nobs - ddof)
+        else:
+            result = np.nan
+
+        output[i] = result
+
+        if not is_monotonic_increasing_bounds:
+            nobs = 0
+            mean_x = 0.0
+            ssqdm_x = 0.0
+            compensation_remove = 0.0
+
+    # na_position is empty list since float64 can already hold nans
+    # Do list comprehension, since numba cannot figure out that na_pos is
+    # empty list of ints on its own
+    na_pos = [0 for i in range(0)]
+    return output, na_pos
+
+
+@numba.jit(nopython=True, nogil=True, parallel=False)
+def grouped_var(
+    values: np.ndarray,
+    result_dtype: np.dtype,
+    labels: npt.NDArray[np.intp],
+    ngroups: int,
+    min_periods: int,
+    ddof: int = 1,
+) -> tuple[np.ndarray, list[int]]:
+    N = len(labels)
+
+    nobs_arr = np.zeros(ngroups, dtype=np.int64)
+    comp_arr = np.zeros(ngroups, dtype=values.dtype)
+    consecutive_counts = np.zeros(ngroups, dtype=np.int64)
+    prev_vals = np.zeros(ngroups, dtype=values.dtype)
+    output = np.zeros(ngroups, dtype=result_dtype)
+    means = np.zeros(ngroups, dtype=result_dtype)
+
+    for i in range(N):
+        lab = labels[i]
+        val = values[i]
+
+        if lab < 0:
+            continue
+
+        mean_x = means[lab]
+        ssqdm_x = output[lab]
+        nobs = nobs_arr[lab]
+        compensation_add = comp_arr[lab]
+        num_consecutive_same_value = consecutive_counts[lab]
+        prev_value = prev_vals[lab]
+
+        (
+            nobs,
+            mean_x,
+            ssqdm_x,
+            compensation_add,
+            num_consecutive_same_value,
+            prev_value,
+        ) = add_var(
+            val,
+            nobs,
+            mean_x,
+            ssqdm_x,
+            compensation_add,
+            num_consecutive_same_value,
+            prev_value,
+        )
+
+        output[lab] = ssqdm_x
+        means[lab] = mean_x
+        consecutive_counts[lab] = num_consecutive_same_value
+        prev_vals[lab] = prev_value
+        comp_arr[lab] = compensation_add
+        nobs_arr[lab] = nobs
+
+    # Post-processing, replace vars that don't satisfy min_periods
+    for lab in range(ngroups):
+        nobs = nobs_arr[lab]
+        num_consecutive_same_value = consecutive_counts[lab]
+        ssqdm_x = output[lab]
+        if nobs >= min_periods and nobs > ddof:
+            if nobs == 1 or num_consecutive_same_value >= nobs:
+                result = 0.0
+            else:
+                result = ssqdm_x / (nobs - ddof)
+        else:
+            result = np.nan
+        output[lab] = result
+
+    # Second pass to get the std.dev
+    # na_position is empty list since float64 can already hold nans
+    # Do list comprehension, since numba cannot figure out that na_pos is
+    # empty list of ints on its own
+    na_pos = [0 for i in range(0)]
+    return output, na_pos

env-llmeval/lib/python3.10/site-packages/pandas/core/arrays/sparse/array.py

@@ -0,0 +1,1929 @@
+"""
+SparseArray data structure
+"""
+from __future__ import annotations
+
+from collections import abc
+import numbers
+import operator
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    Callable,
+    Literal,
+    cast,
+    overload,
+)
+import warnings
+
+import numpy as np
+
+from pandas._libs import lib
+import pandas._libs.sparse as splib
+from pandas._libs.sparse import (
+    BlockIndex,
+    IntIndex,
+    SparseIndex,
+)
+from pandas._libs.tslibs import NaT
+from pandas.compat.numpy import function as nv
+from pandas.errors import PerformanceWarning
+from pandas.util._decorators import doc
+from pandas.util._exceptions import find_stack_level
+from pandas.util._validators import (
+    validate_bool_kwarg,
+    validate_insert_loc,
+)
+
+from pandas.core.dtypes.astype import astype_array
+from pandas.core.dtypes.cast import (
+    construct_1d_arraylike_from_scalar,
+    find_common_type,
+    maybe_box_datetimelike,
+)
+from pandas.core.dtypes.common import (
+    is_bool_dtype,
+    is_integer,
+    is_list_like,
+    is_object_dtype,
+    is_scalar,
+    is_string_dtype,
+    pandas_dtype,
+)
+from pandas.core.dtypes.dtypes import (
+    DatetimeTZDtype,
+    SparseDtype,
+)
+from pandas.core.dtypes.generic import (
+    ABCIndex,
+    ABCSeries,
+)
+from pandas.core.dtypes.missing import (
+    isna,
+    na_value_for_dtype,
+    notna,
+)
+
+from pandas.core import arraylike
+import pandas.core.algorithms as algos
+from pandas.core.arraylike import OpsMixin
+from pandas.core.arrays import ExtensionArray
+from pandas.core.base import PandasObject
+import pandas.core.common as com
+from pandas.core.construction import (
+    ensure_wrapped_if_datetimelike,
+    extract_array,
+    sanitize_array,
+)
+from pandas.core.indexers import (
+    check_array_indexer,
+    unpack_tuple_and_ellipses,
+)
+from pandas.core.nanops import check_below_min_count
+
+from pandas.io.formats import printing
+
+# See https://github.com/python/typing/issues/684
+if TYPE_CHECKING:
+    from collections.abc import Sequence
+    from enum import Enum
+
+    class ellipsis(Enum):
+        Ellipsis = "..."
+
+    Ellipsis = ellipsis.Ellipsis
+
+    from scipy.sparse import spmatrix
+
+    from pandas._typing import (
+        FillnaOptions,
+        NumpySorter,
+    )
+
+    SparseIndexKind = Literal["integer", "block"]
+
+    from pandas._typing import (
+        ArrayLike,
+        AstypeArg,
+        Axis,
+        AxisInt,
+        Dtype,
+        NpDtype,
+        PositionalIndexer,
+        Scalar,
+        ScalarIndexer,
+        Self,
+        SequenceIndexer,
+        npt,
+    )
+
+    from pandas import Series
+
+else:
+    ellipsis = type(Ellipsis)
+
+
+# ----------------------------------------------------------------------------
+# Array
+
+_sparray_doc_kwargs = {"klass": "SparseArray"}
+
+
+def _get_fill(arr: SparseArray) -> np.ndarray:
+    """
+    Create a 0-dim ndarray containing the fill value
+
+    Parameters
+    ----------
+    arr : SparseArray
+
+    Returns
+    -------
+    fill_value : ndarray
+        0-dim ndarray with just the fill value.
+
+    Notes
+    -----
+    coerce fill_value to arr dtype if possible
+    int64 SparseArray can have NaN as fill_value if there is no missing
+    """
+    try:
+        return np.asarray(arr.fill_value, dtype=arr.dtype.subtype)
+    except ValueError:
+        return np.asarray(arr.fill_value)
+
+
+def _sparse_array_op(
+    left: SparseArray, right: SparseArray, op: Callable, name: str
+) -> SparseArray:
+    """
+    Perform a binary operation between two arrays.
+
+    Parameters
+    ----------
+    left : Union[SparseArray, ndarray]
+    right : Union[SparseArray, ndarray]
+    op : Callable
+        The binary operation to perform
+    name str
+        Name of the callable.
+
+    Returns
+    -------
+    SparseArray
+    """
+    if name.startswith("__"):
+        # For lookups in _libs.sparse we need non-dunder op name
+        name = name[2:-2]
+
+    # dtype used to find corresponding sparse method
+    ltype = left.dtype.subtype
+    rtype = right.dtype.subtype
+
+    if ltype != rtype:
+        subtype = find_common_type([ltype, rtype])
+        ltype = SparseDtype(subtype, left.fill_value)
+        rtype = SparseDtype(subtype, right.fill_value)
+
+        left = left.astype(ltype, copy=False)
+        right = right.astype(rtype, copy=False)
+        dtype = ltype.subtype
+    else:
+        dtype = ltype
+
+    # dtype the result must have
+    result_dtype = None
+
+    if left.sp_index.ngaps == 0 or right.sp_index.ngaps == 0:
+        with np.errstate(all="ignore"):
+            result = op(left.to_dense(), right.to_dense())
+            fill = op(_get_fill(left), _get_fill(right))
+
+        if left.sp_index.ngaps == 0:
+            index = left.sp_index
+        else:
+            index = right.sp_index
+    elif left.sp_index.equals(right.sp_index):
+        with np.errstate(all="ignore"):
+            result = op(left.sp_values, right.sp_values)
+            fill = op(_get_fill(left), _get_fill(right))
+        index = left.sp_index
+    else:
+        if name[0] == "r":
+            left, right = right, left
+            name = name[1:]
+
+        if name in ("and", "or", "xor") and dtype == "bool":
+            opname = f"sparse_{name}_uint8"
+            # to make template simple, cast here
+            left_sp_values = left.sp_values.view(np.uint8)
+            right_sp_values = right.sp_values.view(np.uint8)
+            result_dtype = bool
+        else:
+            opname = f"sparse_{name}_{dtype}"
+            left_sp_values = left.sp_values
+            right_sp_values = right.sp_values
+
+        if (
+            name in ["floordiv", "mod"]
+            and (right == 0).any()
+            and left.dtype.kind in "iu"
+        ):
+            # Match the non-Sparse Series behavior
+            opname = f"sparse_{name}_float64"
+            left_sp_values = left_sp_values.astype("float64")
+            right_sp_values = right_sp_values.astype("float64")
+
+        sparse_op = getattr(splib, opname)
+
+        with np.errstate(all="ignore"):
+            result, index, fill = sparse_op(
+                left_sp_values,
+                left.sp_index,
+                left.fill_value,
+                right_sp_values,
+                right.sp_index,
+                right.fill_value,
+            )
+
+    if name == "divmod":
+        # result is a 2-tuple
+        # error: Incompatible return value type (got "Tuple[SparseArray,
+        # SparseArray]", expected "SparseArray")
+        return (  # type: ignore[return-value]
+            _wrap_result(name, result[0], index, fill[0], dtype=result_dtype),
+            _wrap_result(name, result[1], index, fill[1], dtype=result_dtype),
+        )
+
+    if result_dtype is None:
+        result_dtype = result.dtype
+
+    return _wrap_result(name, result, index, fill, dtype=result_dtype)
+
+
+def _wrap_result(
+    name: str, data, sparse_index, fill_value, dtype: Dtype | None = None
+) -> SparseArray:
+    """
+    wrap op result to have correct dtype
+    """
+    if name.startswith("__"):
+        # e.g. __eq__ --> eq
+        name = name[2:-2]
+
+    if name in ("eq", "ne", "lt", "gt", "le", "ge"):
+        dtype = bool
+
+    fill_value = lib.item_from_zerodim(fill_value)
+
+    if is_bool_dtype(dtype):
+        # fill_value may be np.bool_
+        fill_value = bool(fill_value)
+    return SparseArray(
+        data, sparse_index=sparse_index, fill_value=fill_value, dtype=dtype
+    )
+
+
+class SparseArray(OpsMixin, PandasObject, ExtensionArray):
+    """
+    An ExtensionArray for storing sparse data.
+
+    Parameters
+    ----------
+    data : array-like or scalar
+        A dense array of values to store in the SparseArray. This may contain
+        `fill_value`.
+    sparse_index : SparseIndex, optional
+    fill_value : scalar, optional
+        Elements in data that are ``fill_value`` are not stored in the
+        SparseArray. For memory savings, this should be the most common value
+        in `data`. By default, `fill_value` depends on the dtype of `data`:
+
+        =========== ==========
+        data.dtype  na_value
+        =========== ==========
+        float       ``np.nan``
+        int         ``0``
+        bool        False
+        datetime64  ``pd.NaT``
+        timedelta64 ``pd.NaT``
+        =========== ==========
+
+        The fill value is potentially specified in three ways. In order of
+        precedence, these are
+
+        1. The `fill_value` argument
+        2. ``dtype.fill_value`` if `fill_value` is None and `dtype` is
+           a ``SparseDtype``
+        3. ``data.dtype.fill_value`` if `fill_value` is None and `dtype`
+           is not a ``SparseDtype`` and `data` is a ``SparseArray``.
+
+    kind : str
+        Can be 'integer' or 'block', default is 'integer'.
+        The type of storage for sparse locations.
+
+        * 'block': Stores a `block` and `block_length` for each
+          contiguous *span* of sparse values. This is best when
+          sparse data tends to be clumped together, with large
+          regions of ``fill-value`` values between sparse values.
+        * 'integer': uses an integer to store the location of
+          each sparse value.
+
+    dtype : np.dtype or SparseDtype, optional
+        The dtype to use for the SparseArray. For numpy dtypes, this
+        determines the dtype of ``self.sp_values``. For SparseDtype,
+        this determines ``self.sp_values`` and ``self.fill_value``.
+    copy : bool, default False
+        Whether to explicitly copy the incoming `data` array.
+
+    Attributes
+    ----------
+    None
+
+    Methods
+    -------
+    None
+
+    Examples
+    --------
+    >>> from pandas.arrays import SparseArray
+    >>> arr = SparseArray([0, 0, 1, 2])
+    >>> arr
+    [0, 0, 1, 2]
+    Fill: 0
+    IntIndex
+    Indices: array([2, 3], dtype=int32)
+    """
+
+    _subtyp = "sparse_array"  # register ABCSparseArray
+    _hidden_attrs = PandasObject._hidden_attrs | frozenset([])
+    _sparse_index: SparseIndex
+    _sparse_values: np.ndarray
+    _dtype: SparseDtype
+
+    def __init__(
+        self,
+        data,
+        sparse_index=None,
+        fill_value=None,
+        kind: SparseIndexKind = "integer",
+        dtype: Dtype | None = None,
+        copy: bool = False,
+    ) -> None:
+        if fill_value is None and isinstance(dtype, SparseDtype):
+            fill_value = dtype.fill_value
+
+        if isinstance(data, type(self)):
+            # disable normal inference on dtype, sparse_index, & fill_value
+            if sparse_index is None:
+                sparse_index = data.sp_index
+            if fill_value is None:
+                fill_value = data.fill_value
+            if dtype is None:
+                dtype = data.dtype
+            # TODO: make kind=None, and use data.kind?
+            data = data.sp_values
+
+        # Handle use-provided dtype
+        if isinstance(dtype, str):
+            # Two options: dtype='int', regular numpy dtype
+            # or dtype='Sparse[int]', a sparse dtype
+            try:
+                dtype = SparseDtype.construct_from_string(dtype)
+            except TypeError:
+                dtype = pandas_dtype(dtype)
+
+        if isinstance(dtype, SparseDtype):
+            if fill_value is None:
+                fill_value = dtype.fill_value
+            dtype = dtype.subtype
+
+        if is_scalar(data):
+            warnings.warn(
+                f"Constructing {type(self).__name__} with scalar data is deprecated "
+                "and will raise in a future version. Pass a sequence instead.",
+                FutureWarning,
+                stacklevel=find_stack_level(),
+            )
+            if sparse_index is None:
+                npoints = 1
+            else:
+                npoints = sparse_index.length
+
+            data = construct_1d_arraylike_from_scalar(data, npoints, dtype=None)
+            dtype = data.dtype
+
+        if dtype is not None:
+            dtype = pandas_dtype(dtype)
+
+        # TODO: disentangle the fill_value dtype inference from
+        # dtype inference
+        if data is None:
+            # TODO: What should the empty dtype be? Object or float?
+
+            # error: Argument "dtype" to "array" has incompatible type
+            # "Union[ExtensionDtype, dtype[Any], None]"; expected "Union[dtype[Any],
+            # None, type, _SupportsDType, str, Union[Tuple[Any, int], Tuple[Any,
+            # Union[int, Sequence[int]]], List[Any], _DTypeDict, Tuple[Any, Any]]]"
+            data = np.array([], dtype=dtype)  # type: ignore[arg-type]
+
+        try:
+            data = sanitize_array(data, index=None)
+        except ValueError:
+            # NumPy may raise a ValueError on data like [1, []]
+            # we retry with object dtype here.
+            if dtype is None:
+                dtype = np.dtype(object)
+                data = np.atleast_1d(np.asarray(data, dtype=dtype))
+            else:
+                raise
+
+        if copy:
+            # TODO: avoid double copy when dtype forces cast.
+            data = data.copy()
+
+        if fill_value is None:
+            fill_value_dtype = data.dtype if dtype is None else dtype
+            if fill_value_dtype is None:
+                fill_value = np.nan
+            else:
+                fill_value = na_value_for_dtype(fill_value_dtype)
+
+        if isinstance(data, type(self)) and sparse_index is None:
+            sparse_index = data._sparse_index
+            # error: Argument "dtype" to "asarray" has incompatible type
+            # "Union[ExtensionDtype, dtype[Any], None]"; expected "None"
+            sparse_values = np.asarray(
+                data.sp_values, dtype=dtype  # type: ignore[arg-type]
+            )
+        elif sparse_index is None:
+            data = extract_array(data, extract_numpy=True)
+            if not isinstance(data, np.ndarray):
+                # EA
+                if isinstance(data.dtype, DatetimeTZDtype):
+                    warnings.warn(
+                        f"Creating SparseArray from {data.dtype} data "
+                        "loses timezone information. Cast to object before "
+                        "sparse to retain timezone information.",
+                        UserWarning,
+                        stacklevel=find_stack_level(),
+                    )
+                    data = np.asarray(data, dtype="datetime64[ns]")
+                    if fill_value is NaT:
+                        fill_value = np.datetime64("NaT", "ns")
+                data = np.asarray(data)
+            sparse_values, sparse_index, fill_value = _make_sparse(
+                # error: Argument "dtype" to "_make_sparse" has incompatible type
+                # "Union[ExtensionDtype, dtype[Any], None]"; expected
+                # "Optional[dtype[Any]]"
+                data,
+                kind=kind,
+                fill_value=fill_value,
+                dtype=dtype,  # type: ignore[arg-type]
+            )
+        else:
+            # error: Argument "dtype" to "asarray" has incompatible type
+            # "Union[ExtensionDtype, dtype[Any], None]"; expected "None"
+            sparse_values = np.asarray(data, dtype=dtype)  # type: ignore[arg-type]
+            if len(sparse_values) != sparse_index.npoints:
+                raise AssertionError(
+                    f"Non array-like type {type(sparse_values)} must "
+                    "have the same length as the index"
+                )
+        self._sparse_index = sparse_index
+        self._sparse_values = sparse_values
+        self._dtype = SparseDtype(sparse_values.dtype, fill_value)
+
+    @classmethod
+    def _simple_new(
+        cls,
+        sparse_array: np.ndarray,
+        sparse_index: SparseIndex,
+        dtype: SparseDtype,
+    ) -> Self:
+        new = object.__new__(cls)
+        new._sparse_index = sparse_index
+        new._sparse_values = sparse_array
+        new._dtype = dtype
+        return new
+
+    @classmethod
+    def from_spmatrix(cls, data: spmatrix) -> Self:
+        """
+        Create a SparseArray from a scipy.sparse matrix.
+
+        Parameters
+        ----------
+        data : scipy.sparse.sp_matrix
+            This should be a SciPy sparse matrix where the size
+            of the second dimension is 1. In other words, a
+            sparse matrix with a single column.
+
+        Returns
+        -------
+        SparseArray
+
+        Examples
+        --------
+        >>> import scipy.sparse
+        >>> mat = scipy.sparse.coo_matrix((4, 1))
+        >>> pd.arrays.SparseArray.from_spmatrix(mat)
+        [0.0, 0.0, 0.0, 0.0]
+        Fill: 0.0
+        IntIndex
+        Indices: array([], dtype=int32)
+        """
+        length, ncol = data.shape
+
+        if ncol != 1:
+            raise ValueError(f"'data' must have a single column, not '{ncol}'")
+
+        # our sparse index classes require that the positions be strictly
+        # increasing. So we need to sort loc, and arr accordingly.
+        data = data.tocsc()
+        data.sort_indices()
+        arr = data.data
+        idx = data.indices
+
+        zero = np.array(0, dtype=arr.dtype).item()
+        dtype = SparseDtype(arr.dtype, zero)
+        index = IntIndex(length, idx)
+
+        return cls._simple_new(arr, index, dtype)
+
+    def __array__(
+        self, dtype: NpDtype | None = None, copy: bool | None = None
+    ) -> np.ndarray:
+        fill_value = self.fill_value
+
+        if self.sp_index.ngaps == 0:
+            # Compat for na dtype and int values.
+            return self.sp_values
+        if dtype is None:
+            # Can NumPy represent this type?
+            # If not, `np.result_type` will raise. We catch that
+            # and return object.
+            if self.sp_values.dtype.kind == "M":
+                # However, we *do* special-case the common case of
+                # a datetime64 with pandas NaT.
+                if fill_value is NaT:
+                    # Can't put pd.NaT in a datetime64[ns]
+                    fill_value = np.datetime64("NaT")
+            try:
+                dtype = np.result_type(self.sp_values.dtype, type(fill_value))
+            except TypeError:
+                dtype = object
+
+        out = np.full(self.shape, fill_value, dtype=dtype)
+        out[self.sp_index.indices] = self.sp_values
+        return out
+
+    def __setitem__(self, key, value) -> None:
+        # I suppose we could allow setting of non-fill_value elements.
+        # TODO(SparseArray.__setitem__): remove special cases in
+        # ExtensionBlock.where
+        msg = "SparseArray does not support item assignment via setitem"
+        raise TypeError(msg)
+
+    @classmethod
+    def _from_sequence(cls, scalars, *, dtype: Dtype | None = None, copy: bool = False):
+        return cls(scalars, dtype=dtype)
+
+    @classmethod
+    def _from_factorized(cls, values, original):
+        return cls(values, dtype=original.dtype)
+
+    # ------------------------------------------------------------------------
+    # Data
+    # ------------------------------------------------------------------------
+    @property
+    def sp_index(self) -> SparseIndex:
+        """
+        The SparseIndex containing the location of non- ``fill_value`` points.
+        """
+        return self._sparse_index
+
+    @property
+    def sp_values(self) -> np.ndarray:
+        """
+        An ndarray containing the non- ``fill_value`` values.
+
+        Examples
+        --------
+        >>> from pandas.arrays import SparseArray
+        >>> s = SparseArray([0, 0, 1, 0, 2], fill_value=0)
+        >>> s.sp_values
+        array([1, 2])
+        """
+        return self._sparse_values
+
+    @property
+    def dtype(self) -> SparseDtype:
+        return self._dtype
+
+    @property
+    def fill_value(self):
+        """
+        Elements in `data` that are `fill_value` are not stored.
+
+        For memory savings, this should be the most common value in the array.
+
+        Examples
+        --------
+        >>> ser = pd.Series([0, 0, 2, 2, 2], dtype="Sparse[int]")
+        >>> ser.sparse.fill_value
+        0
+        >>> spa_dtype = pd.SparseDtype(dtype=np.int32, fill_value=2)
+        >>> ser = pd.Series([0, 0, 2, 2, 2], dtype=spa_dtype)
+        >>> ser.sparse.fill_value
+        2
+        """
+        return self.dtype.fill_value
+
+    @fill_value.setter
+    def fill_value(self, value) -> None:
+        self._dtype = SparseDtype(self.dtype.subtype, value)
+
+    @property
+    def kind(self) -> SparseIndexKind:
+        """
+        The kind of sparse index for this array. One of {'integer', 'block'}.
+        """
+        if isinstance(self.sp_index, IntIndex):
+            return "integer"
+        else:
+            return "block"
+
+    @property
+    def _valid_sp_values(self) -> np.ndarray:
+        sp_vals = self.sp_values
+        mask = notna(sp_vals)
+        return sp_vals[mask]
+
+    def __len__(self) -> int:
+        return self.sp_index.length
+
+    @property
+    def _null_fill_value(self) -> bool:
+        return self._dtype._is_na_fill_value
+
+    def _fill_value_matches(self, fill_value) -> bool:
+        if self._null_fill_value:
+            return isna(fill_value)
+        else:
+            return self.fill_value == fill_value
+
+    @property
+    def nbytes(self) -> int:
+        return self.sp_values.nbytes + self.sp_index.nbytes
+
+    @property
+    def density(self) -> float:
+        """
+        The percent of non- ``fill_value`` points, as decimal.
+
+        Examples
+        --------
+        >>> from pandas.arrays import SparseArray
+        >>> s = SparseArray([0, 0, 1, 1, 1], fill_value=0)
+        >>> s.density
+        0.6
+        """
+        return self.sp_index.npoints / self.sp_index.length
+
+    @property
+    def npoints(self) -> int:
+        """
+        The number of non- ``fill_value`` points.
+
+        Examples
+        --------
+        >>> from pandas.arrays import SparseArray
+        >>> s = SparseArray([0, 0, 1, 1, 1], fill_value=0)
+        >>> s.npoints
+        3
+        """
+        return self.sp_index.npoints
+
+    # error: Return type "SparseArray" of "isna" incompatible with return type
+    # "ndarray[Any, Any] | ExtensionArraySupportsAnyAll" in supertype "ExtensionArray"
+    def isna(self) -> Self:  # type: ignore[override]
+        # If null fill value, we want SparseDtype[bool, true]
+        # to preserve the same memory usage.
+        dtype = SparseDtype(bool, self._null_fill_value)
+        if self._null_fill_value:
+            return type(self)._simple_new(isna(self.sp_values), self.sp_index, dtype)
+        mask = np.full(len(self), False, dtype=np.bool_)
+        mask[self.sp_index.indices] = isna(self.sp_values)
+        return type(self)(mask, fill_value=False, dtype=dtype)
+
+    def _pad_or_backfill(  # pylint: disable=useless-parent-delegation
+        self,
+        *,
+        method: FillnaOptions,
+        limit: int | None = None,
+        limit_area: Literal["inside", "outside"] | None = None,
+        copy: bool = True,
+    ) -> Self:
+        # TODO(3.0): We can remove this method once deprecation for fillna method
+        #  keyword is enforced.
+        return super()._pad_or_backfill(
+            method=method, limit=limit, limit_area=limit_area, copy=copy
+        )
+
+    def fillna(
+        self,
+        value=None,
+        method: FillnaOptions | None = None,
+        limit: int | None = None,
+        copy: bool = True,
+    ) -> Self:
+        """
+        Fill missing values with `value`.
+
+        Parameters
+        ----------
+        value : scalar, optional
+        method : str, optional
+
+            .. warning::
+
+               Using 'method' will result in high memory use,
+               as all `fill_value` methods will be converted to
+               an in-memory ndarray
+
+        limit : int, optional
+
+        copy: bool, default True
+            Ignored for SparseArray.
+
+        Returns
+        -------
+        SparseArray
+
+        Notes
+        -----
+        When `value` is specified, the result's ``fill_value`` depends on
+        ``self.fill_value``. The goal is to maintain low-memory use.
+
+        If ``self.fill_value`` is NA, the result dtype will be
+        ``SparseDtype(self.dtype, fill_value=value)``. This will preserve
+        amount of memory used before and after filling.
+
+        When ``self.fill_value`` is not NA, the result dtype will be
+        ``self.dtype``. Again, this preserves the amount of memory used.
+        """
+        if (method is None and value is None) or (
+            method is not None and value is not None
+        ):
+            raise ValueError("Must specify one of 'method' or 'value'.")
+
+        if method is not None:
+            return super().fillna(method=method, limit=limit)
+
+        else:
+            new_values = np.where(isna(self.sp_values), value, self.sp_values)
+
+            if self._null_fill_value:
+                # This is essentially just updating the dtype.
+                new_dtype = SparseDtype(self.dtype.subtype, fill_value=value)
+            else:
+                new_dtype = self.dtype
+
+        return self._simple_new(new_values, self._sparse_index, new_dtype)
+
+    def shift(self, periods: int = 1, fill_value=None) -> Self:
+        if not len(self) or periods == 0:
+            return self.copy()
+
+        if isna(fill_value):
+            fill_value = self.dtype.na_value
+
+        subtype = np.result_type(fill_value, self.dtype.subtype)
+
+        if subtype != self.dtype.subtype:
+            # just coerce up front
+            arr = self.astype(SparseDtype(subtype, self.fill_value))
+        else:
+            arr = self
+
+        empty = self._from_sequence(
+            [fill_value] * min(abs(periods), len(self)), dtype=arr.dtype
+        )
+
+        if periods > 0:
+            a = empty
+            b = arr[:-periods]
+        else:
+            a = arr[abs(periods) :]
+            b = empty
+        return arr._concat_same_type([a, b])
+
+    def _first_fill_value_loc(self):
+        """
+        Get the location of the first fill value.
+
+        Returns
+        -------
+        int
+        """
+        if len(self) == 0 or self.sp_index.npoints == len(self):
+            return -1
+
+        indices = self.sp_index.indices
+        if not len(indices) or indices[0] > 0:
+            return 0
+
+        # a number larger than 1 should be appended to
+        # the last in case of fill value only appears
+        # in the tail of array
+        diff = np.r_[np.diff(indices), 2]
+        return indices[(diff > 1).argmax()] + 1
+
+    @doc(ExtensionArray.duplicated)
+    def duplicated(
+        self, keep: Literal["first", "last", False] = "first"
+    ) -> npt.NDArray[np.bool_]:
+        values = np.asarray(self)
+        mask = np.asarray(self.isna())
+        return algos.duplicated(values, keep=keep, mask=mask)
+
+    def unique(self) -> Self:
+        uniques = algos.unique(self.sp_values)
+        if len(self.sp_values) != len(self):
+            fill_loc = self._first_fill_value_loc()
+            # Inorder to align the behavior of pd.unique or
+            # pd.Series.unique, we should keep the original
+            # order, here we use unique again to find the
+            # insertion place. Since the length of sp_values
+            # is not large, maybe minor performance hurt
+            # is worthwhile to the correctness.
+            insert_loc = len(algos.unique(self.sp_values[:fill_loc]))
+            uniques = np.insert(uniques, insert_loc, self.fill_value)
+        return type(self)._from_sequence(uniques, dtype=self.dtype)
+
+    def _values_for_factorize(self):
+        # Still override this for hash_pandas_object
+        return np.asarray(self), self.fill_value
+
+    def factorize(
+        self,
+        use_na_sentinel: bool = True,
+    ) -> tuple[np.ndarray, SparseArray]:
+        # Currently, ExtensionArray.factorize -> Tuple[ndarray, EA]
+        # The sparsity on this is backwards from what Sparse would want. Want
+        # ExtensionArray.factorize -> Tuple[EA, EA]
+        # Given that we have to return a dense array of codes, why bother
+        # implementing an efficient factorize?
+        codes, uniques = algos.factorize(
+            np.asarray(self), use_na_sentinel=use_na_sentinel
+        )
+        uniques_sp = SparseArray(uniques, dtype=self.dtype)
+        return codes, uniques_sp
+
+    def value_counts(self, dropna: bool = True) -> Series:
+        """
+        Returns a Series containing counts of unique values.
+
+        Parameters
+        ----------
+        dropna : bool, default True
+            Don't include counts of NaN, even if NaN is in sp_values.
+
+        Returns
+        -------
+        counts : Series
+        """
+        from pandas import (
+            Index,
+            Series,
+        )
+
+        keys, counts, _ = algos.value_counts_arraylike(self.sp_values, dropna=dropna)
+        fcounts = self.sp_index.ngaps
+        if fcounts > 0 and (not self._null_fill_value or not dropna):
+            mask = isna(keys) if self._null_fill_value else keys == self.fill_value
+            if mask.any():
+                counts[mask] += fcounts
+            else:
+                # error: Argument 1 to "insert" has incompatible type "Union[
+                # ExtensionArray,ndarray[Any, Any]]"; expected "Union[
+                # _SupportsArray[dtype[Any]], Sequence[_SupportsArray[dtype
+                # [Any]]], Sequence[Sequence[_SupportsArray[dtype[Any]]]],
+                # Sequence[Sequence[Sequence[_SupportsArray[dtype[Any]]]]], Sequence
+                # [Sequence[Sequence[Sequence[_SupportsArray[dtype[Any]]]]]]]"
+                keys = np.insert(keys, 0, self.fill_value)  # type: ignore[arg-type]
+                counts = np.insert(counts, 0, fcounts)
+
+        if not isinstance(keys, ABCIndex):
+            index = Index(keys)
+        else:
+            index = keys
+        return Series(counts, index=index, copy=False)
+
+    # --------
+    # Indexing
+    # --------
+    @overload
+    def __getitem__(self, key: ScalarIndexer) -> Any:
+        ...
+
+    @overload
+    def __getitem__(
+        self,
+        key: SequenceIndexer | tuple[int | ellipsis, ...],
+    ) -> Self:
+        ...
+
+    def __getitem__(
+        self,
+        key: PositionalIndexer | tuple[int | ellipsis, ...],
+    ) -> Self | Any:
+        if isinstance(key, tuple):
+            key = unpack_tuple_and_ellipses(key)
+            if key is Ellipsis:
+                raise ValueError("Cannot slice with Ellipsis")
+
+        if is_integer(key):
+            return self._get_val_at(key)
+        elif isinstance(key, tuple):
+            # error: Invalid index type "Tuple[Union[int, ellipsis], ...]"
+            # for "ndarray[Any, Any]"; expected type
+            # "Union[SupportsIndex, _SupportsArray[dtype[Union[bool_,
+            # integer[Any]]]], _NestedSequence[_SupportsArray[dtype[
+            # Union[bool_, integer[Any]]]]], _NestedSequence[Union[
+            # bool, int]], Tuple[Union[SupportsIndex, _SupportsArray[
+            # dtype[Union[bool_, integer[Any]]]], _NestedSequence[
+            # _SupportsArray[dtype[Union[bool_, integer[Any]]]]],
+            # _NestedSequence[Union[bool, int]]], ...]]"
+            data_slice = self.to_dense()[key]  # type: ignore[index]
+        elif isinstance(key, slice):
+            # Avoid densifying when handling contiguous slices
+            if key.step is None or key.step == 1:
+                start = 0 if key.start is None else key.start
+                if start < 0:
+                    start += len(self)
+
+                end = len(self) if key.stop is None else key.stop
+                if end < 0:
+                    end += len(self)
+
+                indices = self.sp_index.indices
+                keep_inds = np.flatnonzero((indices >= start) & (indices < end))
+                sp_vals = self.sp_values[keep_inds]
+
+                sp_index = indices[keep_inds].copy()
+
+                # If we've sliced to not include the start of the array, all our indices
+                # should be shifted. NB: here we are careful to also not shift by a
+                # negative value for a case like [0, 1][-100:] where the start index
+                # should be treated like 0
+                if start > 0:
+                    sp_index -= start
+
+                # Length of our result should match applying this slice to a range
+                # of the length of our original array
+                new_len = len(range(len(self))[key])
+                new_sp_index = make_sparse_index(new_len, sp_index, self.kind)
+                return type(self)._simple_new(sp_vals, new_sp_index, self.dtype)
+            else:
+                indices = np.arange(len(self), dtype=np.int32)[key]
+                return self.take(indices)
+
+        elif not is_list_like(key):
+            # e.g. "foo" or 2.5
+            # exception message copied from numpy
+            raise IndexError(
+                r"only integers, slices (`:`), ellipsis (`...`), numpy.newaxis "
+                r"(`None`) and integer or boolean arrays are valid indices"
+            )
+
+        else:
+            if isinstance(key, SparseArray):
+                # NOTE: If we guarantee that SparseDType(bool)
+                # has only fill_value - true, false or nan
+                # (see GH PR 44955)
+                # we can apply mask very fast:
+                if is_bool_dtype(key):
+                    if isna(key.fill_value):
+                        return self.take(key.sp_index.indices[key.sp_values])
+                    if not key.fill_value:
+                        return self.take(key.sp_index.indices)
+                    n = len(self)
+                    mask = np.full(n, True, dtype=np.bool_)
+                    mask[key.sp_index.indices] = False
+                    return self.take(np.arange(n)[mask])
+                else:
+                    key = np.asarray(key)
+
+            key = check_array_indexer(self, key)
+
+            if com.is_bool_indexer(key):
+                # mypy doesn't know we have an array here
+                key = cast(np.ndarray, key)
+                return self.take(np.arange(len(key), dtype=np.int32)[key])
+            elif hasattr(key, "__len__"):
+                return self.take(key)
+            else:
+                raise ValueError(f"Cannot slice with '{key}'")
+
+        return type(self)(data_slice, kind=self.kind)
+
+    def _get_val_at(self, loc):
+        loc = validate_insert_loc(loc, len(self))
+
+        sp_loc = self.sp_index.lookup(loc)
+        if sp_loc == -1:
+            return self.fill_value
+        else:
+            val = self.sp_values[sp_loc]
+            val = maybe_box_datetimelike(val, self.sp_values.dtype)
+            return val
+
+    def take(self, indices, *, allow_fill: bool = False, fill_value=None) -> Self:
+        if is_scalar(indices):
+            raise ValueError(f"'indices' must be an array, not a scalar '{indices}'.")
+        indices = np.asarray(indices, dtype=np.int32)
+
+        dtype = None
+        if indices.size == 0:
+            result = np.array([], dtype="object")
+            dtype = self.dtype
+        elif allow_fill:
+            result = self._take_with_fill(indices, fill_value=fill_value)
+        else:
+            return self._take_without_fill(indices)
+
+        return type(self)(
+            result, fill_value=self.fill_value, kind=self.kind, dtype=dtype
+        )
+
+    def _take_with_fill(self, indices, fill_value=None) -> np.ndarray:
+        if fill_value is None:
+            fill_value = self.dtype.na_value
+
+        if indices.min() < -1:
+            raise ValueError(
+                "Invalid value in 'indices'. Must be between -1 "
+                "and the length of the array."
+            )
+
+        if indices.max() >= len(self):
+            raise IndexError("out of bounds value in 'indices'.")
+
+        if len(self) == 0:
+            # Empty... Allow taking only if all empty
+            if (indices == -1).all():
+                dtype = np.result_type(self.sp_values, type(fill_value))
+                taken = np.empty_like(indices, dtype=dtype)
+                taken.fill(fill_value)
+                return taken
+            else:
+                raise IndexError("cannot do a non-empty take from an empty axes.")
+
+        # sp_indexer may be -1 for two reasons
+        # 1.) we took for an index of -1 (new)
+        # 2.) we took a value that was self.fill_value (old)
+        sp_indexer = self.sp_index.lookup_array(indices)
+        new_fill_indices = indices == -1
+        old_fill_indices = (sp_indexer == -1) & ~new_fill_indices
+
+        if self.sp_index.npoints == 0 and old_fill_indices.all():
+            # We've looked up all valid points on an all-sparse array.
+            taken = np.full(
+                sp_indexer.shape, fill_value=self.fill_value, dtype=self.dtype.subtype
+            )
+
+        elif self.sp_index.npoints == 0:
+            # Use the old fill_value unless we took for an index of -1
+            _dtype = np.result_type(self.dtype.subtype, type(fill_value))
+            taken = np.full(sp_indexer.shape, fill_value=fill_value, dtype=_dtype)
+            taken[old_fill_indices] = self.fill_value
+        else:
+            taken = self.sp_values.take(sp_indexer)
+
+            # Fill in two steps.
+            # Old fill values
+            # New fill values
+            # potentially coercing to a new dtype at each stage.
+
+            m0 = sp_indexer[old_fill_indices] < 0
+            m1 = sp_indexer[new_fill_indices] < 0
+
+            result_type = taken.dtype
+
+            if m0.any():
+                result_type = np.result_type(result_type, type(self.fill_value))
+                taken = taken.astype(result_type)
+                taken[old_fill_indices] = self.fill_value
+
+            if m1.any():
+                result_type = np.result_type(result_type, type(fill_value))
+                taken = taken.astype(result_type)
+                taken[new_fill_indices] = fill_value
+
+        return taken
+
+    def _take_without_fill(self, indices) -> Self:
+        to_shift = indices < 0
+
+        n = len(self)
+
+        if (indices.max() >= n) or (indices.min() < -n):
+            if n == 0:
+                raise IndexError("cannot do a non-empty take from an empty axes.")
+            raise IndexError("out of bounds value in 'indices'.")
+
+        if to_shift.any():
+            indices = indices.copy()
+            indices[to_shift] += n
+
+        sp_indexer = self.sp_index.lookup_array(indices)
+        value_mask = sp_indexer != -1
+        new_sp_values = self.sp_values[sp_indexer[value_mask]]
+
+        value_indices = np.flatnonzero(value_mask).astype(np.int32, copy=False)
+
+        new_sp_index = make_sparse_index(len(indices), value_indices, kind=self.kind)
+        return type(self)._simple_new(new_sp_values, new_sp_index, dtype=self.dtype)
+
+    def searchsorted(
+        self,
+        v: ArrayLike | object,
+        side: Literal["left", "right"] = "left",
+        sorter: NumpySorter | None = None,
+    ) -> npt.NDArray[np.intp] | np.intp:
+        msg = "searchsorted requires high memory usage."
+        warnings.warn(msg, PerformanceWarning, stacklevel=find_stack_level())
+        v = np.asarray(v)
+        return np.asarray(self, dtype=self.dtype.subtype).searchsorted(v, side, sorter)
+
+    def copy(self) -> Self:
+        values = self.sp_values.copy()
+        return self._simple_new(values, self.sp_index, self.dtype)
+
+    @classmethod
+    def _concat_same_type(cls, to_concat: Sequence[Self]) -> Self:
+        fill_value = to_concat[0].fill_value
+
+        values = []
+        length = 0
+
+        if to_concat:
+            sp_kind = to_concat[0].kind
+        else:
+            sp_kind = "integer"
+
+        sp_index: SparseIndex
+        if sp_kind == "integer":
+            indices = []
+
+            for arr in to_concat:
+                int_idx = arr.sp_index.indices.copy()
+                int_idx += length  # TODO: wraparound
+                length += arr.sp_index.length
+
+                values.append(arr.sp_values)
+                indices.append(int_idx)
+
+            data = np.concatenate(values)
+            indices_arr = np.concatenate(indices)
+            # error: Argument 2 to "IntIndex" has incompatible type
+            # "ndarray[Any, dtype[signedinteger[_32Bit]]]";
+            # expected "Sequence[int]"
+            sp_index = IntIndex(length, indices_arr)  # type: ignore[arg-type]
+
+        else:
+            # when concatenating block indices, we don't claim that you'll
+            # get an identical index as concatenating the values and then
+            # creating a new index. We don't want to spend the time trying
+            # to merge blocks across arrays in `to_concat`, so the resulting
+            # BlockIndex may have more blocks.
+            blengths = []
+            blocs = []
+
+            for arr in to_concat:
+                block_idx = arr.sp_index.to_block_index()
+
+                values.append(arr.sp_values)
+                blocs.append(block_idx.blocs.copy() + length)
+                blengths.append(block_idx.blengths)
+                length += arr.sp_index.length
+
+            data = np.concatenate(values)
+            blocs_arr = np.concatenate(blocs)
+            blengths_arr = np.concatenate(blengths)
+
+            sp_index = BlockIndex(length, blocs_arr, blengths_arr)
+
+        return cls(data, sparse_index=sp_index, fill_value=fill_value)
+
+    def astype(self, dtype: AstypeArg | None = None, copy: bool = True):
+        """
+        Change the dtype of a SparseArray.
+
+        The output will always be a SparseArray. To convert to a dense
+        ndarray with a certain dtype, use :meth:`numpy.asarray`.
+
+        Parameters
+        ----------
+        dtype : np.dtype or ExtensionDtype
+            For SparseDtype, this changes the dtype of
+            ``self.sp_values`` and the ``self.fill_value``.
+
+            For other dtypes, this only changes the dtype of
+            ``self.sp_values``.
+
+        copy : bool, default True
+            Whether to ensure a copy is made, even if not necessary.
+
+        Returns
+        -------
+        SparseArray
+
+        Examples
+        --------
+        >>> arr = pd.arrays.SparseArray([0, 0, 1, 2])
+        >>> arr
+        [0, 0, 1, 2]
+        Fill: 0
+        IntIndex
+        Indices: array([2, 3], dtype=int32)
+
+        >>> arr.astype(SparseDtype(np.dtype('int32')))
+        [0, 0, 1, 2]
+        Fill: 0
+        IntIndex
+        Indices: array([2, 3], dtype=int32)
+
+        Using a NumPy dtype with a different kind (e.g. float) will coerce
+        just ``self.sp_values``.
+
+        >>> arr.astype(SparseDtype(np.dtype('float64')))
+        ... # doctest: +NORMALIZE_WHITESPACE
+        [nan, nan, 1.0, 2.0]
+        Fill: nan
+        IntIndex
+        Indices: array([2, 3], dtype=int32)
+
+        Using a SparseDtype, you can also change the fill value as well.
+
+        >>> arr.astype(SparseDtype("float64", fill_value=0.0))
+        ... # doctest: +NORMALIZE_WHITESPACE
+        [0.0, 0.0, 1.0, 2.0]
+        Fill: 0.0
+        IntIndex
+        Indices: array([2, 3], dtype=int32)
+        """
+        if dtype == self._dtype:
+            if not copy:
+                return self
+            else:
+                return self.copy()
+
+        future_dtype = pandas_dtype(dtype)
+        if not isinstance(future_dtype, SparseDtype):
+            # GH#34457
+            values = np.asarray(self)
+            values = ensure_wrapped_if_datetimelike(values)
+            return astype_array(values, dtype=future_dtype, copy=False)
+
+        dtype = self.dtype.update_dtype(dtype)
+        subtype = pandas_dtype(dtype._subtype_with_str)
+        subtype = cast(np.dtype, subtype)  # ensured by update_dtype
+        values = ensure_wrapped_if_datetimelike(self.sp_values)
+        sp_values = astype_array(values, subtype, copy=copy)
+        sp_values = np.asarray(sp_values)
+
+        return self._simple_new(sp_values, self.sp_index, dtype)
+
+    def map(self, mapper, na_action=None) -> Self:
+        """
+        Map categories using an input mapping or function.
+
+        Parameters
+        ----------
+        mapper : dict, Series, callable
+            The correspondence from old values to new.
+        na_action : {None, 'ignore'}, default None
+            If 'ignore', propagate NA values, without passing them to the
+            mapping correspondence.
+
+        Returns
+        -------
+        SparseArray
+            The output array will have the same density as the input.
+            The output fill value will be the result of applying the
+            mapping to ``self.fill_value``
+
+        Examples
+        --------
+        >>> arr = pd.arrays.SparseArray([0, 1, 2])
+        >>> arr.map(lambda x: x + 10)
+        [10, 11, 12]
+        Fill: 10
+        IntIndex
+        Indices: array([1, 2], dtype=int32)
+
+        >>> arr.map({0: 10, 1: 11, 2: 12})
+        [10, 11, 12]
+        Fill: 10
+        IntIndex
+        Indices: array([1, 2], dtype=int32)
+
+        >>> arr.map(pd.Series([10, 11, 12], index=[0, 1, 2]))
+        [10, 11, 12]
+        Fill: 10
+        IntIndex
+        Indices: array([1, 2], dtype=int32)
+        """
+        is_map = isinstance(mapper, (abc.Mapping, ABCSeries))
+
+        fill_val = self.fill_value
+
+        if na_action is None or notna(fill_val):
+            fill_val = mapper.get(fill_val, fill_val) if is_map else mapper(fill_val)
+
+        def func(sp_val):
+            new_sp_val = mapper.get(sp_val, None) if is_map else mapper(sp_val)
+            # check identity and equality because nans are not equal to each other
+            if new_sp_val is fill_val or new_sp_val == fill_val:
+                msg = "fill value in the sparse values not supported"
+                raise ValueError(msg)
+            return new_sp_val
+
+        sp_values = [func(x) for x in self.sp_values]
+
+        return type(self)(sp_values, sparse_index=self.sp_index, fill_value=fill_val)
+
+    def to_dense(self) -> np.ndarray:
+        """
+        Convert SparseArray to a NumPy array.
+
+        Returns
+        -------
+        arr : NumPy array
+        """
+        return np.asarray(self, dtype=self.sp_values.dtype)
+
+    def _where(self, mask, value):
+        # NB: may not preserve dtype, e.g. result may be Sparse[float64]
+        #  while self is Sparse[int64]
+        naive_implementation = np.where(mask, self, value)
+        dtype = SparseDtype(naive_implementation.dtype, fill_value=self.fill_value)
+        result = type(self)._from_sequence(naive_implementation, dtype=dtype)
+        return result
+
+    # ------------------------------------------------------------------------
+    # IO
+    # ------------------------------------------------------------------------
+    def __setstate__(self, state) -> None:
+        """Necessary for making this object picklable"""
+        if isinstance(state, tuple):
+            # Compat for pandas < 0.24.0
+            nd_state, (fill_value, sp_index) = state
+            sparse_values = np.array([])
+            sparse_values.__setstate__(nd_state)
+
+            self._sparse_values = sparse_values
+            self._sparse_index = sp_index
+            self._dtype = SparseDtype(sparse_values.dtype, fill_value)
+        else:
+            self.__dict__.update(state)
+
+    def nonzero(self) -> tuple[npt.NDArray[np.int32]]:
+        if self.fill_value == 0:
+            return (self.sp_index.indices,)
+        else:
+            return (self.sp_index.indices[self.sp_values != 0],)
+
+    # ------------------------------------------------------------------------
+    # Reductions
+    # ------------------------------------------------------------------------
+
+    def _reduce(
+        self, name: str, *, skipna: bool = True, keepdims: bool = False, **kwargs
+    ):
+        method = getattr(self, name, None)
+
+        if method is None:
+            raise TypeError(f"cannot perform {name} with type {self.dtype}")
+
+        if skipna:
+            arr = self
+        else:
+            arr = self.dropna()
+
+        result = getattr(arr, name)(**kwargs)
+
+        if keepdims:
+            return type(self)([result], dtype=self.dtype)
+        else:
+            return result
+
+    def all(self, axis=None, *args, **kwargs):
+        """
+        Tests whether all elements evaluate True
+
+        Returns
+        -------
+        all : bool
+
+        See Also
+        --------
+        numpy.all
+        """
+        nv.validate_all(args, kwargs)
+
+        values = self.sp_values
+
+        if len(values) != len(self) and not np.all(self.fill_value):
+            return False
+
+        return values.all()
+
+    def any(self, axis: AxisInt = 0, *args, **kwargs) -> bool:
+        """
+        Tests whether at least one of elements evaluate True
+
+        Returns
+        -------
+        any : bool
+
+        See Also
+        --------
+        numpy.any
+        """
+        nv.validate_any(args, kwargs)
+
+        values = self.sp_values
+
+        if len(values) != len(self) and np.any(self.fill_value):
+            return True
+
+        return values.any().item()
+
+    def sum(
+        self,
+        axis: AxisInt = 0,
+        min_count: int = 0,
+        skipna: bool = True,
+        *args,
+        **kwargs,
+    ) -> Scalar:
+        """
+        Sum of non-NA/null values
+
+        Parameters
+        ----------
+        axis : int, default 0
+            Not Used. NumPy compatibility.
+        min_count : int, default 0
+            The required number of valid values to perform the summation. If fewer
+            than ``min_count`` valid values are present, the result will be the missing
+            value indicator for subarray type.
+        *args, **kwargs
+            Not Used. NumPy compatibility.
+
+        Returns
+        -------
+        scalar
+        """
+        nv.validate_sum(args, kwargs)
+        valid_vals = self._valid_sp_values
+        sp_sum = valid_vals.sum()
+        has_na = self.sp_index.ngaps > 0 and not self._null_fill_value
+
+        if has_na and not skipna:
+            return na_value_for_dtype(self.dtype.subtype, compat=False)
+
+        if self._null_fill_value:
+            if check_below_min_count(valid_vals.shape, None, min_count):
+                return na_value_for_dtype(self.dtype.subtype, compat=False)
+            return sp_sum
+        else:
+            nsparse = self.sp_index.ngaps
+            if check_below_min_count(valid_vals.shape, None, min_count - nsparse):
+                return na_value_for_dtype(self.dtype.subtype, compat=False)
+            return sp_sum + self.fill_value * nsparse
+
+    def cumsum(self, axis: AxisInt = 0, *args, **kwargs) -> SparseArray:
+        """
+        Cumulative sum of non-NA/null values.
+
+        When performing the cumulative summation, any non-NA/null values will
+        be skipped. The resulting SparseArray will preserve the locations of
+        NaN values, but the fill value will be `np.nan` regardless.
+
+        Parameters
+        ----------
+        axis : int or None
+            Axis over which to perform the cumulative summation. If None,
+            perform cumulative summation over flattened array.
+
+        Returns
+        -------
+        cumsum : SparseArray
+        """
+        nv.validate_cumsum(args, kwargs)
+
+        if axis is not None and axis >= self.ndim:  # Mimic ndarray behaviour.
+            raise ValueError(f"axis(={axis}) out of bounds")
+
+        if not self._null_fill_value:
+            return SparseArray(self.to_dense()).cumsum()
+
+        return SparseArray(
+            self.sp_values.cumsum(),
+            sparse_index=self.sp_index,
+            fill_value=self.fill_value,
+        )
+
+    def mean(self, axis: Axis = 0, *args, **kwargs):
+        """
+        Mean of non-NA/null values
+
+        Returns
+        -------
+        mean : float
+        """
+        nv.validate_mean(args, kwargs)
+        valid_vals = self._valid_sp_values
+        sp_sum = valid_vals.sum()
+        ct = len(valid_vals)
+
+        if self._null_fill_value:
+            return sp_sum / ct
+        else:
+            nsparse = self.sp_index.ngaps
+            return (sp_sum + self.fill_value * nsparse) / (ct + nsparse)
+
+    def max(self, *, axis: AxisInt | None = None, skipna: bool = True):
+        """
+        Max of array values, ignoring NA values if specified.
+
+        Parameters
+        ----------
+        axis : int, default 0
+            Not Used. NumPy compatibility.
+        skipna : bool, default True
+            Whether to ignore NA values.
+
+        Returns
+        -------
+        scalar
+        """
+        nv.validate_minmax_axis(axis, self.ndim)
+        return self._min_max("max", skipna=skipna)
+
+    def min(self, *, axis: AxisInt | None = None, skipna: bool = True):
+        """
+        Min of array values, ignoring NA values if specified.
+
+        Parameters
+        ----------
+        axis : int, default 0
+            Not Used. NumPy compatibility.
+        skipna : bool, default True
+            Whether to ignore NA values.
+
+        Returns
+        -------
+        scalar
+        """
+        nv.validate_minmax_axis(axis, self.ndim)
+        return self._min_max("min", skipna=skipna)
+
+    def _min_max(self, kind: Literal["min", "max"], skipna: bool) -> Scalar:
+        """
+        Min/max of non-NA/null values
+
+        Parameters
+        ----------
+        kind : {"min", "max"}
+        skipna : bool
+
+        Returns
+        -------
+        scalar
+        """
+        valid_vals = self._valid_sp_values
+        has_nonnull_fill_vals = not self._null_fill_value and self.sp_index.ngaps > 0
+
+        if len(valid_vals) > 0:
+            sp_min_max = getattr(valid_vals, kind)()
+
+            # If a non-null fill value is currently present, it might be the min/max
+            if has_nonnull_fill_vals:
+                func = max if kind == "max" else min
+                return func(sp_min_max, self.fill_value)
+            elif skipna:
+                return sp_min_max
+            elif self.sp_index.ngaps == 0:
+                # No NAs present
+                return sp_min_max
+            else:
+                return na_value_for_dtype(self.dtype.subtype, compat=False)
+        elif has_nonnull_fill_vals:
+            return self.fill_value
+        else:
+            return na_value_for_dtype(self.dtype.subtype, compat=False)
+
+    def _argmin_argmax(self, kind: Literal["argmin", "argmax"]) -> int:
+        values = self._sparse_values
+        index = self._sparse_index.indices
+        mask = np.asarray(isna(values))
+        func = np.argmax if kind == "argmax" else np.argmin
+
+        idx = np.arange(values.shape[0])
+        non_nans = values[~mask]
+        non_nan_idx = idx[~mask]
+
+        _candidate = non_nan_idx[func(non_nans)]
+        candidate = index[_candidate]
+
+        if isna(self.fill_value):
+            return candidate
+        if kind == "argmin" and self[candidate] < self.fill_value:
+            return candidate
+        if kind == "argmax" and self[candidate] > self.fill_value:
+            return candidate
+        _loc = self._first_fill_value_loc()
+        if _loc == -1:
+            # fill_value doesn't exist
+            return candidate
+        else:
+            return _loc
+
+    def argmax(self, skipna: bool = True) -> int:
+        validate_bool_kwarg(skipna, "skipna")
+        if not skipna and self._hasna:
+            raise NotImplementedError
+        return self._argmin_argmax("argmax")
+
+    def argmin(self, skipna: bool = True) -> int:
+        validate_bool_kwarg(skipna, "skipna")
+        if not skipna and self._hasna:
+            raise NotImplementedError
+        return self._argmin_argmax("argmin")
+
+    # ------------------------------------------------------------------------
+    # Ufuncs
+    # ------------------------------------------------------------------------
+
+    _HANDLED_TYPES = (np.ndarray, numbers.Number)
+
+    def __array_ufunc__(self, ufunc: np.ufunc, method: str, *inputs, **kwargs):
+        out = kwargs.get("out", ())
+
+        for x in inputs + out:
+            if not isinstance(x, self._HANDLED_TYPES + (SparseArray,)):
+                return NotImplemented
+
+        # for binary ops, use our custom dunder methods
+        result = arraylike.maybe_dispatch_ufunc_to_dunder_op(
+            self, ufunc, method, *inputs, **kwargs
+        )
+        if result is not NotImplemented:
+            return result
+
+        if "out" in kwargs:
+            # e.g. tests.arrays.sparse.test_arithmetics.test_ndarray_inplace
+            res = arraylike.dispatch_ufunc_with_out(
+                self, ufunc, method, *inputs, **kwargs
+            )
+            return res
+
+        if method == "reduce":
+            result = arraylike.dispatch_reduction_ufunc(
+                self, ufunc, method, *inputs, **kwargs
+            )
+            if result is not NotImplemented:
+                # e.g. tests.series.test_ufunc.TestNumpyReductions
+                return result
+
+        if len(inputs) == 1:
+            # No alignment necessary.
+            sp_values = getattr(ufunc, method)(self.sp_values, **kwargs)
+            fill_value = getattr(ufunc, method)(self.fill_value, **kwargs)
+
+            if ufunc.nout > 1:
+                # multiple outputs. e.g. modf
+                arrays = tuple(
+                    self._simple_new(
+                        sp_value, self.sp_index, SparseDtype(sp_value.dtype, fv)
+                    )
+                    for sp_value, fv in zip(sp_values, fill_value)
+                )
+                return arrays
+            elif method == "reduce":
+                # e.g. reductions
+                return sp_values
+
+            return self._simple_new(
+                sp_values, self.sp_index, SparseDtype(sp_values.dtype, fill_value)
+            )
+
+        new_inputs = tuple(np.asarray(x) for x in inputs)
+        result = getattr(ufunc, method)(*new_inputs, **kwargs)
+        if out:
+            if len(out) == 1:
+                out = out[0]
+            return out
+
+        if ufunc.nout > 1:
+            return tuple(type(self)(x) for x in result)
+        elif method == "at":
+            # no return value
+            return None
+        else:
+            return type(self)(result)
+
+    # ------------------------------------------------------------------------
+    # Ops
+    # ------------------------------------------------------------------------
+
+    def _arith_method(self, other, op):
+        op_name = op.__name__
+
+        if isinstance(other, SparseArray):
+            return _sparse_array_op(self, other, op, op_name)
+
+        elif is_scalar(other):
+            with np.errstate(all="ignore"):
+                fill = op(_get_fill(self), np.asarray(other))
+                result = op(self.sp_values, other)
+
+            if op_name == "divmod":
+                left, right = result
+                lfill, rfill = fill
+                return (
+                    _wrap_result(op_name, left, self.sp_index, lfill),
+                    _wrap_result(op_name, right, self.sp_index, rfill),
+                )
+
+            return _wrap_result(op_name, result, self.sp_index, fill)
+
+        else:
+            other = np.asarray(other)
+            with np.errstate(all="ignore"):
+                if len(self) != len(other):
+                    raise AssertionError(
+                        f"length mismatch: {len(self)} vs. {len(other)}"
+                    )
+                if not isinstance(other, SparseArray):
+                    dtype = getattr(other, "dtype", None)
+                    other = SparseArray(other, fill_value=self.fill_value, dtype=dtype)
+                return _sparse_array_op(self, other, op, op_name)
+
+    def _cmp_method(self, other, op) -> SparseArray:
+        if not is_scalar(other) and not isinstance(other, type(self)):
+            # convert list-like to ndarray
+            other = np.asarray(other)
+
+        if isinstance(other, np.ndarray):
+            # TODO: make this more flexible than just ndarray...
+            other = SparseArray(other, fill_value=self.fill_value)
+
+        if isinstance(other, SparseArray):
+            if len(self) != len(other):
+                raise ValueError(
+                    f"operands have mismatched length {len(self)} and {len(other)}"
+                )
+
+            op_name = op.__name__.strip("_")
+            return _sparse_array_op(self, other, op, op_name)
+        else:
+            # scalar
+            fill_value = op(self.fill_value, other)
+            result = np.full(len(self), fill_value, dtype=np.bool_)
+            result[self.sp_index.indices] = op(self.sp_values, other)
+
+            return type(self)(
+                result,
+                fill_value=fill_value,
+                dtype=np.bool_,
+            )
+
+    _logical_method = _cmp_method
+
+    def _unary_method(self, op) -> SparseArray:
+        fill_value = op(np.array(self.fill_value)).item()
+        dtype = SparseDtype(self.dtype.subtype, fill_value)
+        # NOTE: if fill_value doesn't change
+        # we just have to apply op to sp_values
+        if isna(self.fill_value) or fill_value == self.fill_value:
+            values = op(self.sp_values)
+            return type(self)._simple_new(values, self.sp_index, self.dtype)
+        # In the other case we have to recalc indexes
+        return type(self)(op(self.to_dense()), dtype=dtype)
+
+    def __pos__(self) -> SparseArray:
+        return self._unary_method(operator.pos)
+
+    def __neg__(self) -> SparseArray:
+        return self._unary_method(operator.neg)
+
+    def __invert__(self) -> SparseArray:
+        return self._unary_method(operator.invert)
+
+    def __abs__(self) -> SparseArray:
+        return self._unary_method(operator.abs)
+
+    # ----------
+    # Formatting
+    # -----------
+    def __repr__(self) -> str:
+        pp_str = printing.pprint_thing(self)
+        pp_fill = printing.pprint_thing(self.fill_value)
+        pp_index = printing.pprint_thing(self.sp_index)
+        return f"{pp_str}\nFill: {pp_fill}\n{pp_index}"
+
+    def _formatter(self, boxed: bool = False):
+        # Defer to the formatter from the GenericArrayFormatter calling us.
+        # This will infer the correct formatter from the dtype of the values.
+        return None
+
+
+def _make_sparse(
+    arr: np.ndarray,
+    kind: SparseIndexKind = "block",
+    fill_value=None,
+    dtype: np.dtype | None = None,
+):
+    """
+    Convert ndarray to sparse format
+
+    Parameters
+    ----------
+    arr : ndarray
+    kind : {'block', 'integer'}
+    fill_value : NaN or another value
+    dtype : np.dtype, optional
+    copy : bool, default False
+
+    Returns
+    -------
+    (sparse_values, index, fill_value) : (ndarray, SparseIndex, Scalar)
+    """
+    assert isinstance(arr, np.ndarray)
+
+    if arr.ndim > 1:
+        raise TypeError("expected dimension <= 1 data")
+
+    if fill_value is None:
+        fill_value = na_value_for_dtype(arr.dtype)
+
+    if isna(fill_value):
+        mask = notna(arr)
+    else:
+        # cast to object comparison to be safe
+        if is_string_dtype(arr.dtype):
+            arr = arr.astype(object)
+
+        if is_object_dtype(arr.dtype):
+            # element-wise equality check method in numpy doesn't treat
+            # each element type, eg. 0, 0.0, and False are treated as
+            # same. So we have to check the both of its type and value.
+            mask = splib.make_mask_object_ndarray(arr, fill_value)
+        else:
+            mask = arr != fill_value
+
+    length = len(arr)
+    if length != len(mask):
+        # the arr is a SparseArray
+        indices = mask.sp_index.indices
+    else:
+        indices = mask.nonzero()[0].astype(np.int32)
+
+    index = make_sparse_index(length, indices, kind)
+    sparsified_values = arr[mask]
+    if dtype is not None:
+        sparsified_values = ensure_wrapped_if_datetimelike(sparsified_values)
+        sparsified_values = astype_array(sparsified_values, dtype=dtype)
+        sparsified_values = np.asarray(sparsified_values)
+
+    # TODO: copy
+    return sparsified_values, index, fill_value
+
+
+@overload
+def make_sparse_index(length: int, indices, kind: Literal["block"]) -> BlockIndex:
+    ...
+
+
+@overload
+def make_sparse_index(length: int, indices, kind: Literal["integer"]) -> IntIndex:
+    ...
+
+
+def make_sparse_index(length: int, indices, kind: SparseIndexKind) -> SparseIndex:
+    index: SparseIndex
+    if kind == "block":
+        locs, lens = splib.get_blocks(indices)
+        index = BlockIndex(length, locs, lens)
+    elif kind == "integer":
+        index = IntIndex(length, indices)
+    else:  # pragma: no cover
+        raise ValueError("must be block or integer type")
+    return index

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/api.py

@@ -0,0 +1,85 @@
+from pandas.core.dtypes.common import (
+    is_any_real_numeric_dtype,
+    is_array_like,
+    is_bool,
+    is_bool_dtype,
+    is_categorical_dtype,
+    is_complex,
+    is_complex_dtype,
+    is_datetime64_any_dtype,
+    is_datetime64_dtype,
+    is_datetime64_ns_dtype,
+    is_datetime64tz_dtype,
+    is_dict_like,
+    is_dtype_equal,
+    is_extension_array_dtype,
+    is_file_like,
+    is_float,
+    is_float_dtype,
+    is_hashable,
+    is_int64_dtype,
+    is_integer,
+    is_integer_dtype,
+    is_interval,
+    is_interval_dtype,
+    is_iterator,
+    is_list_like,
+    is_named_tuple,
+    is_number,
+    is_numeric_dtype,
+    is_object_dtype,
+    is_period_dtype,
+    is_re,
+    is_re_compilable,
+    is_scalar,
+    is_signed_integer_dtype,
+    is_sparse,
+    is_string_dtype,
+    is_timedelta64_dtype,
+    is_timedelta64_ns_dtype,
+    is_unsigned_integer_dtype,
+    pandas_dtype,
+)
+
+__all__ = [
+    "is_any_real_numeric_dtype",
+    "is_array_like",
+    "is_bool",
+    "is_bool_dtype",
+    "is_categorical_dtype",
+    "is_complex",
+    "is_complex_dtype",
+    "is_datetime64_any_dtype",
+    "is_datetime64_dtype",
+    "is_datetime64_ns_dtype",
+    "is_datetime64tz_dtype",
+    "is_dict_like",
+    "is_dtype_equal",
+    "is_extension_array_dtype",
+    "is_file_like",
+    "is_float",
+    "is_float_dtype",
+    "is_hashable",
+    "is_int64_dtype",
+    "is_integer",
+    "is_integer_dtype",
+    "is_interval",
+    "is_interval_dtype",
+    "is_iterator",
+    "is_list_like",
+    "is_named_tuple",
+    "is_number",
+    "is_numeric_dtype",
+    "is_object_dtype",
+    "is_period_dtype",
+    "is_re",
+    "is_re_compilable",
+    "is_scalar",
+    "is_signed_integer_dtype",
+    "is_sparse",
+    "is_string_dtype",
+    "is_timedelta64_dtype",
+    "is_timedelta64_ns_dtype",
+    "is_unsigned_integer_dtype",
+    "pandas_dtype",
+]

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/astype.py

@@ -0,0 +1,301 @@
+"""
+Functions for implementing 'astype' methods according to pandas conventions,
+particularly ones that differ from numpy.
+"""
+from __future__ import annotations
+
+import inspect
+from typing import (
+    TYPE_CHECKING,
+    overload,
+)
+import warnings
+
+import numpy as np
+
+from pandas._libs import lib
+from pandas._libs.tslibs.timedeltas import array_to_timedelta64
+from pandas.errors import IntCastingNaNError
+
+from pandas.core.dtypes.common import (
+    is_object_dtype,
+    is_string_dtype,
+    pandas_dtype,
+)
+from pandas.core.dtypes.dtypes import (
+    ExtensionDtype,
+    NumpyEADtype,
+)
+
+if TYPE_CHECKING:
+    from pandas._typing import (
+        ArrayLike,
+        DtypeObj,
+        IgnoreRaise,
+    )
+
+    from pandas.core.arrays import ExtensionArray
+
+_dtype_obj = np.dtype(object)
+
+
+@overload
+def _astype_nansafe(
+    arr: np.ndarray, dtype: np.dtype, copy: bool = ..., skipna: bool = ...
+) -> np.ndarray:
+    ...
+
+
+@overload
+def _astype_nansafe(
+    arr: np.ndarray, dtype: ExtensionDtype, copy: bool = ..., skipna: bool = ...
+) -> ExtensionArray:
+    ...
+
+
+def _astype_nansafe(
+    arr: np.ndarray, dtype: DtypeObj, copy: bool = True, skipna: bool = False
+) -> ArrayLike:
+    """
+    Cast the elements of an array to a given dtype a nan-safe manner.
+
+    Parameters
+    ----------
+    arr : ndarray
+    dtype : np.dtype or ExtensionDtype
+    copy : bool, default True
+        If False, a view will be attempted but may fail, if
+        e.g. the item sizes don't align.
+    skipna: bool, default False
+        Whether or not we should skip NaN when casting as a string-type.
+
+    Raises
+    ------
+    ValueError
+        The dtype was a datetime64/timedelta64 dtype, but it had no unit.
+    """
+
+    # dispatch on extension dtype if needed
+    if isinstance(dtype, ExtensionDtype):
+        return dtype.construct_array_type()._from_sequence(arr, dtype=dtype, copy=copy)
+
+    elif not isinstance(dtype, np.dtype):  # pragma: no cover
+        raise ValueError("dtype must be np.dtype or ExtensionDtype")
+
+    if arr.dtype.kind in "mM":
+        from pandas.core.construction import ensure_wrapped_if_datetimelike
+
+        arr = ensure_wrapped_if_datetimelike(arr)
+        res = arr.astype(dtype, copy=copy)
+        return np.asarray(res)
+
+    if issubclass(dtype.type, str):
+        shape = arr.shape
+        if arr.ndim > 1:
+            arr = arr.ravel()
+        return lib.ensure_string_array(
+            arr, skipna=skipna, convert_na_value=False
+        ).reshape(shape)
+
+    elif np.issubdtype(arr.dtype, np.floating) and dtype.kind in "iu":
+        return _astype_float_to_int_nansafe(arr, dtype, copy)
+
+    elif arr.dtype == object:
+        # if we have a datetime/timedelta array of objects
+        # then coerce to datetime64[ns] and use DatetimeArray.astype
+
+        if lib.is_np_dtype(dtype, "M"):
+            from pandas.core.arrays import DatetimeArray
+
+            dta = DatetimeArray._from_sequence(arr, dtype=dtype)
+            return dta._ndarray
+
+        elif lib.is_np_dtype(dtype, "m"):
+            from pandas.core.construction import ensure_wrapped_if_datetimelike
+
+            # bc we know arr.dtype == object, this is equivalent to
+            #  `np.asarray(to_timedelta(arr))`, but using a lower-level API that
+            #  does not require a circular import.
+            tdvals = array_to_timedelta64(arr).view("m8[ns]")
+
+            tda = ensure_wrapped_if_datetimelike(tdvals)
+            return tda.astype(dtype, copy=False)._ndarray
+
+    if dtype.name in ("datetime64", "timedelta64"):
+        msg = (
+            f"The '{dtype.name}' dtype has no unit. Please pass in "
+            f"'{dtype.name}[ns]' instead."
+        )
+        raise ValueError(msg)
+
+    if copy or arr.dtype == object or dtype == object:
+        # Explicit copy, or required since NumPy can't view from / to object.
+        return arr.astype(dtype, copy=True)
+
+    return arr.astype(dtype, copy=copy)
+
+
+def _astype_float_to_int_nansafe(
+    values: np.ndarray, dtype: np.dtype, copy: bool
+) -> np.ndarray:
+    """
+    astype with a check preventing converting NaN to an meaningless integer value.
+    """
+    if not np.isfinite(values).all():
+        raise IntCastingNaNError(
+            "Cannot convert non-finite values (NA or inf) to integer"
+        )
+    if dtype.kind == "u":
+        # GH#45151
+        if not (values >= 0).all():
+            raise ValueError(f"Cannot losslessly cast from {values.dtype} to {dtype}")
+    with warnings.catch_warnings():
+        warnings.filterwarnings("ignore", category=RuntimeWarning)
+        return values.astype(dtype, copy=copy)
+
+
+def astype_array(values: ArrayLike, dtype: DtypeObj, copy: bool = False) -> ArrayLike:
+    """
+    Cast array (ndarray or ExtensionArray) to the new dtype.
+
+    Parameters
+    ----------
+    values : ndarray or ExtensionArray
+    dtype : dtype object
+    copy : bool, default False
+        copy if indicated
+
+    Returns
+    -------
+    ndarray or ExtensionArray
+    """
+    if values.dtype == dtype:
+        if copy:
+            return values.copy()
+        return values
+
+    if not isinstance(values, np.ndarray):
+        # i.e. ExtensionArray
+        values = values.astype(dtype, copy=copy)
+
+    else:
+        values = _astype_nansafe(values, dtype, copy=copy)
+
+    # in pandas we don't store numpy str dtypes, so convert to object
+    if isinstance(dtype, np.dtype) and issubclass(values.dtype.type, str):
+        values = np.array(values, dtype=object)
+
+    return values
+
+
+def astype_array_safe(
+    values: ArrayLike, dtype, copy: bool = False, errors: IgnoreRaise = "raise"
+) -> ArrayLike:
+    """
+    Cast array (ndarray or ExtensionArray) to the new dtype.
+
+    This basically is the implementation for DataFrame/Series.astype and
+    includes all custom logic for pandas (NaN-safety, converting str to object,
+    not allowing )
+
+    Parameters
+    ----------
+    values : ndarray or ExtensionArray
+    dtype : str, dtype convertible
+    copy : bool, default False
+        copy if indicated
+    errors : str, {'raise', 'ignore'}, default 'raise'
+        - ``raise`` : allow exceptions to be raised
+        - ``ignore`` : suppress exceptions. On error return original object
+
+    Returns
+    -------
+    ndarray or ExtensionArray
+    """
+    errors_legal_values = ("raise", "ignore")
+
+    if errors not in errors_legal_values:
+        invalid_arg = (
+            "Expected value of kwarg 'errors' to be one of "
+            f"{list(errors_legal_values)}. Supplied value is '{errors}'"
+        )
+        raise ValueError(invalid_arg)
+
+    if inspect.isclass(dtype) and issubclass(dtype, ExtensionDtype):
+        msg = (
+            f"Expected an instance of {dtype.__name__}, "
+            "but got the class instead. Try instantiating 'dtype'."
+        )
+        raise TypeError(msg)
+
+    dtype = pandas_dtype(dtype)
+    if isinstance(dtype, NumpyEADtype):
+        # Ensure we don't end up with a NumpyExtensionArray
+        dtype = dtype.numpy_dtype
+
+    try:
+        new_values = astype_array(values, dtype, copy=copy)
+    except (ValueError, TypeError):
+        # e.g. _astype_nansafe can fail on object-dtype of strings
+        #  trying to convert to float
+        if errors == "ignore":
+            new_values = values
+        else:
+            raise
+
+    return new_values
+
+
+def astype_is_view(dtype: DtypeObj, new_dtype: DtypeObj) -> bool:
+    """Checks if astype avoided copying the data.
+
+    Parameters
+    ----------
+    dtype : Original dtype
+    new_dtype : target dtype
+
+    Returns
+    -------
+    True if new data is a view or not guaranteed to be a copy, False otherwise
+    """
+    if isinstance(dtype, np.dtype) and not isinstance(new_dtype, np.dtype):
+        new_dtype, dtype = dtype, new_dtype
+
+    if dtype == new_dtype:
+        return True
+
+    elif isinstance(dtype, np.dtype) and isinstance(new_dtype, np.dtype):
+        # Only equal numpy dtypes avoid a copy
+        return False
+
+    elif is_string_dtype(dtype) and is_string_dtype(new_dtype):
+        # Potentially! a view when converting from object to string
+        return True
+
+    elif is_object_dtype(dtype) and new_dtype.kind == "O":
+        # When the underlying array has dtype object, we don't have to make a copy
+        return True
+
+    elif dtype.kind in "mM" and new_dtype.kind in "mM":
+        dtype = getattr(dtype, "numpy_dtype", dtype)
+        new_dtype = getattr(new_dtype, "numpy_dtype", new_dtype)
+        return getattr(dtype, "unit", None) == getattr(new_dtype, "unit", None)
+
+    numpy_dtype = getattr(dtype, "numpy_dtype", None)
+    new_numpy_dtype = getattr(new_dtype, "numpy_dtype", None)
+
+    if numpy_dtype is None and isinstance(dtype, np.dtype):
+        numpy_dtype = dtype
+
+    if new_numpy_dtype is None and isinstance(new_dtype, np.dtype):
+        new_numpy_dtype = new_dtype
+
+    if numpy_dtype is not None and new_numpy_dtype is not None:
+        # if both have NumPy dtype or one of them is a numpy dtype
+        # they are only a view when the numpy dtypes are equal, e.g.
+        # int64 -> Int64 or int64[pyarrow]
+        # int64 -> Int32 copies
+        return numpy_dtype == new_numpy_dtype
+
+    # Assume this is a view since we don't know for sure if a copy was made
+    return True

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/base.py

@@ -0,0 +1,583 @@
+"""
+Extend pandas with custom array types.
+"""
+from __future__ import annotations
+
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    TypeVar,
+    cast,
+    overload,
+)
+
+import numpy as np
+
+from pandas._libs import missing as libmissing
+from pandas._libs.hashtable import object_hash
+from pandas._libs.properties import cache_readonly
+from pandas.errors import AbstractMethodError
+
+from pandas.core.dtypes.generic import (
+    ABCDataFrame,
+    ABCIndex,
+    ABCSeries,
+)
+
+if TYPE_CHECKING:
+    from pandas._typing import (
+        DtypeObj,
+        Self,
+        Shape,
+        npt,
+        type_t,
+    )
+
+    from pandas import Index
+    from pandas.core.arrays import ExtensionArray
+
+    # To parameterize on same ExtensionDtype
+    ExtensionDtypeT = TypeVar("ExtensionDtypeT", bound="ExtensionDtype")
+
+
+class ExtensionDtype:
+    """
+    A custom data type, to be paired with an ExtensionArray.
+
+    See Also
+    --------
+    extensions.register_extension_dtype: Register an ExtensionType
+        with pandas as class decorator.
+    extensions.ExtensionArray: Abstract base class for custom 1-D array types.
+
+    Notes
+    -----
+    The interface includes the following abstract methods that must
+    be implemented by subclasses:
+
+    * type
+    * name
+    * construct_array_type
+
+    The following attributes and methods influence the behavior of the dtype in
+    pandas operations
+
+    * _is_numeric
+    * _is_boolean
+    * _get_common_dtype
+
+    The `na_value` class attribute can be used to set the default NA value
+    for this type. :attr:`numpy.nan` is used by default.
+
+    ExtensionDtypes are required to be hashable. The base class provides
+    a default implementation, which relies on the ``_metadata`` class
+    attribute. ``_metadata`` should be a tuple containing the strings
+    that define your data type. For example, with ``PeriodDtype`` that's
+    the ``freq`` attribute.
+
+    **If you have a parametrized dtype you should set the ``_metadata``
+    class property**.
+
+    Ideally, the attributes in ``_metadata`` will match the
+    parameters to your ``ExtensionDtype.__init__`` (if any). If any of
+    the attributes in ``_metadata`` don't implement the standard
+    ``__eq__`` or ``__hash__``, the default implementations here will not
+    work.
+
+    Examples
+    --------
+
+    For interaction with Apache Arrow (pyarrow), a ``__from_arrow__`` method
+    can be implemented: this method receives a pyarrow Array or ChunkedArray
+    as only argument and is expected to return the appropriate pandas
+    ExtensionArray for this dtype and the passed values:
+
+    >>> import pyarrow
+    >>> from pandas.api.extensions import ExtensionArray
+    >>> class ExtensionDtype:
+    ...     def __from_arrow__(
+    ...         self,
+    ...         array: pyarrow.Array | pyarrow.ChunkedArray
+    ...     ) -> ExtensionArray:
+    ...         ...
+
+    This class does not inherit from 'abc.ABCMeta' for performance reasons.
+    Methods and properties required by the interface raise
+    ``pandas.errors.AbstractMethodError`` and no ``register`` method is
+    provided for registering virtual subclasses.
+    """
+
+    _metadata: tuple[str, ...] = ()
+
+    def __str__(self) -> str:
+        return self.name
+
+    def __eq__(self, other: object) -> bool:
+        """
+        Check whether 'other' is equal to self.
+
+        By default, 'other' is considered equal if either
+
+        * it's a string matching 'self.name'.
+        * it's an instance of this type and all of the attributes
+          in ``self._metadata`` are equal between `self` and `other`.
+
+        Parameters
+        ----------
+        other : Any
+
+        Returns
+        -------
+        bool
+        """
+        if isinstance(other, str):
+            try:
+                other = self.construct_from_string(other)
+            except TypeError:
+                return False
+        if isinstance(other, type(self)):
+            return all(
+                getattr(self, attr) == getattr(other, attr) for attr in self._metadata
+            )
+        return False
+
+    def __hash__(self) -> int:
+        # for python>=3.10, different nan objects have different hashes
+        # we need to avoid that and thus use hash function with old behavior
+        return object_hash(tuple(getattr(self, attr) for attr in self._metadata))
+
+    def __ne__(self, other: object) -> bool:
+        return not self.__eq__(other)
+
+    @property
+    def na_value(self) -> object:
+        """
+        Default NA value to use for this type.
+
+        This is used in e.g. ExtensionArray.take. This should be the
+        user-facing "boxed" version of the NA value, not the physical NA value
+        for storage.  e.g. for JSONArray, this is an empty dictionary.
+        """
+        return np.nan
+
+    @property
+    def type(self) -> type_t[Any]:
+        """
+        The scalar type for the array, e.g. ``int``
+
+        It's expected ``ExtensionArray[item]`` returns an instance
+        of ``ExtensionDtype.type`` for scalar ``item``, assuming
+        that value is valid (not NA). NA values do not need to be
+        instances of `type`.
+        """
+        raise AbstractMethodError(self)
+
+    @property
+    def kind(self) -> str:
+        """
+        A character code (one of 'biufcmMOSUV'), default 'O'
+
+        This should match the NumPy dtype used when the array is
+        converted to an ndarray, which is probably 'O' for object if
+        the extension type cannot be represented as a built-in NumPy
+        type.
+
+        See Also
+        --------
+        numpy.dtype.kind
+        """
+        return "O"
+
+    @property
+    def name(self) -> str:
+        """
+        A string identifying the data type.
+
+        Will be used for display in, e.g. ``Series.dtype``
+        """
+        raise AbstractMethodError(self)
+
+    @property
+    def names(self) -> list[str] | None:
+        """
+        Ordered list of field names, or None if there are no fields.
+
+        This is for compatibility with NumPy arrays, and may be removed in the
+        future.
+        """
+        return None
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[ExtensionArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        raise AbstractMethodError(cls)
+
+    def empty(self, shape: Shape) -> ExtensionArray:
+        """
+        Construct an ExtensionArray of this dtype with the given shape.
+
+        Analogous to numpy.empty.
+
+        Parameters
+        ----------
+        shape : int or tuple[int]
+
+        Returns
+        -------
+        ExtensionArray
+        """
+        cls = self.construct_array_type()
+        return cls._empty(shape, dtype=self)
+
+    @classmethod
+    def construct_from_string(cls, string: str) -> Self:
+        r"""
+        Construct this type from a string.
+
+        This is useful mainly for data types that accept parameters.
+        For example, a period dtype accepts a frequency parameter that
+        can be set as ``period[h]`` (where H means hourly frequency).
+
+        By default, in the abstract class, just the name of the type is
+        expected. But subclasses can overwrite this method to accept
+        parameters.
+
+        Parameters
+        ----------
+        string : str
+            The name of the type, for example ``category``.
+
+        Returns
+        -------
+        ExtensionDtype
+            Instance of the dtype.
+
+        Raises
+        ------
+        TypeError
+            If a class cannot be constructed from this 'string'.
+
+        Examples
+        --------
+        For extension dtypes with arguments the following may be an
+        adequate implementation.
+
+        >>> import re
+        >>> @classmethod
+        ... def construct_from_string(cls, string):
+        ...     pattern = re.compile(r"^my_type\[(?P<arg_name>.+)\]$")
+        ...     match = pattern.match(string)
+        ...     if match:
+        ...         return cls(**match.groupdict())
+        ...     else:
+        ...         raise TypeError(
+        ...             f"Cannot construct a '{cls.__name__}' from '{string}'"
+        ...         )
+        """
+        if not isinstance(string, str):
+            raise TypeError(
+                f"'construct_from_string' expects a string, got {type(string)}"
+            )
+        # error: Non-overlapping equality check (left operand type: "str", right
+        #  operand type: "Callable[[ExtensionDtype], str]")  [comparison-overlap]
+        assert isinstance(cls.name, str), (cls, type(cls.name))
+        if string != cls.name:
+            raise TypeError(f"Cannot construct a '{cls.__name__}' from '{string}'")
+        return cls()
+
+    @classmethod
+    def is_dtype(cls, dtype: object) -> bool:
+        """
+        Check if we match 'dtype'.
+
+        Parameters
+        ----------
+        dtype : object
+            The object to check.
+
+        Returns
+        -------
+        bool
+
+        Notes
+        -----
+        The default implementation is True if
+
+        1. ``cls.construct_from_string(dtype)`` is an instance
+           of ``cls``.
+        2. ``dtype`` is an object and is an instance of ``cls``
+        3. ``dtype`` has a ``dtype`` attribute, and any of the above
+           conditions is true for ``dtype.dtype``.
+        """
+        dtype = getattr(dtype, "dtype", dtype)
+
+        if isinstance(dtype, (ABCSeries, ABCIndex, ABCDataFrame, np.dtype)):
+            # https://github.com/pandas-dev/pandas/issues/22960
+            # avoid passing data to `construct_from_string`. This could
+            # cause a FutureWarning from numpy about failing elementwise
+            # comparison from, e.g., comparing DataFrame == 'category'.
+            return False
+        elif dtype is None:
+            return False
+        elif isinstance(dtype, cls):
+            return True
+        if isinstance(dtype, str):
+            try:
+                return cls.construct_from_string(dtype) is not None
+            except TypeError:
+                return False
+        return False
+
+    @property
+    def _is_numeric(self) -> bool:
+        """
+        Whether columns with this dtype should be considered numeric.
+
+        By default ExtensionDtypes are assumed to be non-numeric.
+        They'll be excluded from operations that exclude non-numeric
+        columns, like (groupby) reductions, plotting, etc.
+        """
+        return False
+
+    @property
+    def _is_boolean(self) -> bool:
+        """
+        Whether this dtype should be considered boolean.
+
+        By default, ExtensionDtypes are assumed to be non-numeric.
+        Setting this to True will affect the behavior of several places,
+        e.g.
+
+        * is_bool
+        * boolean indexing
+
+        Returns
+        -------
+        bool
+        """
+        return False
+
+    def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
+        """
+        Return the common dtype, if one exists.
+
+        Used in `find_common_type` implementation. This is for example used
+        to determine the resulting dtype in a concat operation.
+
+        If no common dtype exists, return None (which gives the other dtypes
+        the chance to determine a common dtype). If all dtypes in the list
+        return None, then the common dtype will be "object" dtype (this means
+        it is never needed to return "object" dtype from this method itself).
+
+        Parameters
+        ----------
+        dtypes : list of dtypes
+            The dtypes for which to determine a common dtype. This is a list
+            of np.dtype or ExtensionDtype instances.
+
+        Returns
+        -------
+        Common dtype (np.dtype or ExtensionDtype) or None
+        """
+        if len(set(dtypes)) == 1:
+            # only itself
+            return self
+        else:
+            return None
+
+    @property
+    def _can_hold_na(self) -> bool:
+        """
+        Can arrays of this dtype hold NA values?
+        """
+        return True
+
+    @property
+    def _is_immutable(self) -> bool:
+        """
+        Can arrays with this dtype be modified with __setitem__? If not, return
+        True.
+
+        Immutable arrays are expected to raise TypeError on __setitem__ calls.
+        """
+        return False
+
+    @cache_readonly
+    def index_class(self) -> type_t[Index]:
+        """
+        The Index subclass to return from Index.__new__ when this dtype is
+        encountered.
+        """
+        from pandas import Index
+
+        return Index
+
+    @property
+    def _supports_2d(self) -> bool:
+        """
+        Do ExtensionArrays with this dtype support 2D arrays?
+
+        Historically ExtensionArrays were limited to 1D. By returning True here,
+        authors can indicate that their arrays support 2D instances. This can
+        improve performance in some cases, particularly operations with `axis=1`.
+
+        Arrays that support 2D values should:
+
+            - implement Array.reshape
+            - subclass the Dim2CompatTests in tests.extension.base
+            - _concat_same_type should support `axis` keyword
+            - _reduce and reductions should support `axis` keyword
+        """
+        return False
+
+    @property
+    def _can_fast_transpose(self) -> bool:
+        """
+        Is transposing an array with this dtype zero-copy?
+
+        Only relevant for cases where _supports_2d is True.
+        """
+        return False
+
+
+class StorageExtensionDtype(ExtensionDtype):
+    """ExtensionDtype that may be backed by more than one implementation."""
+
+    name: str
+    _metadata = ("storage",)
+
+    def __init__(self, storage: str | None = None) -> None:
+        self.storage = storage
+
+    def __repr__(self) -> str:
+        return f"{self.name}[{self.storage}]"
+
+    def __str__(self) -> str:
+        return self.name
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, str) and other == self.name:
+            return True
+        return super().__eq__(other)
+
+    def __hash__(self) -> int:
+        # custom __eq__ so have to override __hash__
+        return super().__hash__()
+
+    @property
+    def na_value(self) -> libmissing.NAType:
+        return libmissing.NA
+
+
+def register_extension_dtype(cls: type_t[ExtensionDtypeT]) -> type_t[ExtensionDtypeT]:
+    """
+    Register an ExtensionType with pandas as class decorator.
+
+    This enables operations like ``.astype(name)`` for the name
+    of the ExtensionDtype.
+
+    Returns
+    -------
+    callable
+        A class decorator.
+
+    Examples
+    --------
+    >>> from pandas.api.extensions import register_extension_dtype, ExtensionDtype
+    >>> @register_extension_dtype
+    ... class MyExtensionDtype(ExtensionDtype):
+    ...     name = "myextension"
+    """
+    _registry.register(cls)
+    return cls
+
+
+class Registry:
+    """
+    Registry for dtype inference.
+
+    The registry allows one to map a string repr of a extension
+    dtype to an extension dtype. The string alias can be used in several
+    places, including
+
+    * Series and Index constructors
+    * :meth:`pandas.array`
+    * :meth:`pandas.Series.astype`
+
+    Multiple extension types can be registered.
+    These are tried in order.
+    """
+
+    def __init__(self) -> None:
+        self.dtypes: list[type_t[ExtensionDtype]] = []
+
+    def register(self, dtype: type_t[ExtensionDtype]) -> None:
+        """
+        Parameters
+        ----------
+        dtype : ExtensionDtype class
+        """
+        if not issubclass(dtype, ExtensionDtype):
+            raise ValueError("can only register pandas extension dtypes")
+
+        self.dtypes.append(dtype)
+
+    @overload
+    def find(self, dtype: type_t[ExtensionDtypeT]) -> type_t[ExtensionDtypeT]:
+        ...
+
+    @overload
+    def find(self, dtype: ExtensionDtypeT) -> ExtensionDtypeT:
+        ...
+
+    @overload
+    def find(self, dtype: str) -> ExtensionDtype | None:
+        ...
+
+    @overload
+    def find(
+        self, dtype: npt.DTypeLike
+    ) -> type_t[ExtensionDtype] | ExtensionDtype | None:
+        ...
+
+    def find(
+        self, dtype: type_t[ExtensionDtype] | ExtensionDtype | npt.DTypeLike
+    ) -> type_t[ExtensionDtype] | ExtensionDtype | None:
+        """
+        Parameters
+        ----------
+        dtype : ExtensionDtype class or instance or str or numpy dtype or python type
+
+        Returns
+        -------
+        return the first matching dtype, otherwise return None
+        """
+        if not isinstance(dtype, str):
+            dtype_type: type_t
+            if not isinstance(dtype, type):
+                dtype_type = type(dtype)
+            else:
+                dtype_type = dtype
+            if issubclass(dtype_type, ExtensionDtype):
+                # cast needed here as mypy doesn't know we have figured
+                # out it is an ExtensionDtype or type_t[ExtensionDtype]
+                return cast("ExtensionDtype | type_t[ExtensionDtype]", dtype)
+
+            return None
+
+        for dtype_type in self.dtypes:
+            try:
+                return dtype_type.construct_from_string(dtype)
+            except TypeError:
+                pass
+
+        return None
+
+
+_registry = Registry()

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/cast.py

@@ -0,0 +1,1973 @@
+"""
+Routines for casting.
+"""
+
+from __future__ import annotations
+
+import datetime as dt
+import functools
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    Literal,
+    TypeVar,
+    cast,
+    overload,
+)
+import warnings
+
+import numpy as np
+
+from pandas._config import using_pyarrow_string_dtype
+
+from pandas._libs import (
+    Interval,
+    Period,
+    lib,
+)
+from pandas._libs.missing import (
+    NA,
+    NAType,
+    checknull,
+)
+from pandas._libs.tslibs import (
+    NaT,
+    OutOfBoundsDatetime,
+    OutOfBoundsTimedelta,
+    Timedelta,
+    Timestamp,
+    is_supported_dtype,
+)
+from pandas._libs.tslibs.timedeltas import array_to_timedelta64
+from pandas.compat.numpy import np_version_gt2
+from pandas.errors import (
+    IntCastingNaNError,
+    LossySetitemError,
+)
+
+from pandas.core.dtypes.common import (
+    ensure_int8,
+    ensure_int16,
+    ensure_int32,
+    ensure_int64,
+    ensure_object,
+    ensure_str,
+    is_bool,
+    is_complex,
+    is_float,
+    is_integer,
+    is_object_dtype,
+    is_scalar,
+    is_string_dtype,
+    pandas_dtype as pandas_dtype_func,
+)
+from pandas.core.dtypes.dtypes import (
+    ArrowDtype,
+    BaseMaskedDtype,
+    CategoricalDtype,
+    DatetimeTZDtype,
+    ExtensionDtype,
+    IntervalDtype,
+    PandasExtensionDtype,
+    PeriodDtype,
+)
+from pandas.core.dtypes.generic import (
+    ABCExtensionArray,
+    ABCIndex,
+    ABCSeries,
+)
+from pandas.core.dtypes.inference import is_list_like
+from pandas.core.dtypes.missing import (
+    is_valid_na_for_dtype,
+    isna,
+    na_value_for_dtype,
+    notna,
+)
+
+from pandas.io._util import _arrow_dtype_mapping
+
+if TYPE_CHECKING:
+    from collections.abc import (
+        Sequence,
+        Sized,
+    )
+
+    from pandas._typing import (
+        ArrayLike,
+        Dtype,
+        DtypeObj,
+        NumpyIndexT,
+        Scalar,
+        npt,
+    )
+
+    from pandas import Index
+    from pandas.core.arrays import (
+        Categorical,
+        DatetimeArray,
+        ExtensionArray,
+        IntervalArray,
+        PeriodArray,
+        TimedeltaArray,
+    )
+
+
+_int8_max = np.iinfo(np.int8).max
+_int16_max = np.iinfo(np.int16).max
+_int32_max = np.iinfo(np.int32).max
+
+_dtype_obj = np.dtype(object)
+
+NumpyArrayT = TypeVar("NumpyArrayT", bound=np.ndarray)
+
+
+def maybe_convert_platform(
+    values: list | tuple | range | np.ndarray | ExtensionArray,
+) -> ArrayLike:
+    """try to do platform conversion, allow ndarray or list here"""
+    arr: ArrayLike
+
+    if isinstance(values, (list, tuple, range)):
+        arr = construct_1d_object_array_from_listlike(values)
+    else:
+        # The caller is responsible for ensuring that we have np.ndarray
+        #  or ExtensionArray here.
+        arr = values
+
+    if arr.dtype == _dtype_obj:
+        arr = cast(np.ndarray, arr)
+        arr = lib.maybe_convert_objects(arr)
+
+    return arr
+
+
+def is_nested_object(obj) -> bool:
+    """
+    return a boolean if we have a nested object, e.g. a Series with 1 or
+    more Series elements
+
+    This may not be necessarily be performant.
+
+    """
+    return bool(
+        isinstance(obj, ABCSeries)
+        and is_object_dtype(obj.dtype)
+        and any(isinstance(v, ABCSeries) for v in obj._values)
+    )
+
+
+def maybe_box_datetimelike(value: Scalar, dtype: Dtype | None = None) -> Scalar:
+    """
+    Cast scalar to Timestamp or Timedelta if scalar is datetime-like
+    and dtype is not object.
+
+    Parameters
+    ----------
+    value : scalar
+    dtype : Dtype, optional
+
+    Returns
+    -------
+    scalar
+    """
+    if dtype == _dtype_obj:
+        pass
+    elif isinstance(value, (np.datetime64, dt.datetime)):
+        value = Timestamp(value)
+    elif isinstance(value, (np.timedelta64, dt.timedelta)):
+        value = Timedelta(value)
+
+    return value
+
+
+def maybe_box_native(value: Scalar | None | NAType) -> Scalar | None | NAType:
+    """
+    If passed a scalar cast the scalar to a python native type.
+
+    Parameters
+    ----------
+    value : scalar or Series
+
+    Returns
+    -------
+    scalar or Series
+    """
+    if is_float(value):
+        value = float(value)
+    elif is_integer(value):
+        value = int(value)
+    elif is_bool(value):
+        value = bool(value)
+    elif isinstance(value, (np.datetime64, np.timedelta64)):
+        value = maybe_box_datetimelike(value)
+    elif value is NA:
+        value = None
+    return value
+
+
+def _maybe_unbox_datetimelike(value: Scalar, dtype: DtypeObj) -> Scalar:
+    """
+    Convert a Timedelta or Timestamp to timedelta64 or datetime64 for setting
+    into a numpy array.  Failing to unbox would risk dropping nanoseconds.
+
+    Notes
+    -----
+    Caller is responsible for checking dtype.kind in "mM"
+    """
+    if is_valid_na_for_dtype(value, dtype):
+        # GH#36541: can't fill array directly with pd.NaT
+        # > np.empty(10, dtype="datetime64[ns]").fill(pd.NaT)
+        # ValueError: cannot convert float NaN to integer
+        value = dtype.type("NaT", "ns")
+    elif isinstance(value, Timestamp):
+        if value.tz is None:
+            value = value.to_datetime64()
+        elif not isinstance(dtype, DatetimeTZDtype):
+            raise TypeError("Cannot unbox tzaware Timestamp to tznaive dtype")
+    elif isinstance(value, Timedelta):
+        value = value.to_timedelta64()
+
+    _disallow_mismatched_datetimelike(value, dtype)
+    return value
+
+
+def _disallow_mismatched_datetimelike(value, dtype: DtypeObj):
+    """
+    numpy allows np.array(dt64values, dtype="timedelta64[ns]") and
+    vice-versa, but we do not want to allow this, so we need to
+    check explicitly
+    """
+    vdtype = getattr(value, "dtype", None)
+    if vdtype is None:
+        return
+    elif (vdtype.kind == "m" and dtype.kind == "M") or (
+        vdtype.kind == "M" and dtype.kind == "m"
+    ):
+        raise TypeError(f"Cannot cast {repr(value)} to {dtype}")
+
+
+@overload
+def maybe_downcast_to_dtype(result: np.ndarray, dtype: str | np.dtype) -> np.ndarray:
+    ...
+
+
+@overload
+def maybe_downcast_to_dtype(result: ExtensionArray, dtype: str | np.dtype) -> ArrayLike:
+    ...
+
+
+def maybe_downcast_to_dtype(result: ArrayLike, dtype: str | np.dtype) -> ArrayLike:
+    """
+    try to cast to the specified dtype (e.g. convert back to bool/int
+    or could be an astype of float64->float32
+    """
+    if isinstance(result, ABCSeries):
+        result = result._values
+    do_round = False
+
+    if isinstance(dtype, str):
+        if dtype == "infer":
+            inferred_type = lib.infer_dtype(result, skipna=False)
+            if inferred_type == "boolean":
+                dtype = "bool"
+            elif inferred_type == "integer":
+                dtype = "int64"
+            elif inferred_type == "datetime64":
+                dtype = "datetime64[ns]"
+            elif inferred_type in ["timedelta", "timedelta64"]:
+                dtype = "timedelta64[ns]"
+
+            # try to upcast here
+            elif inferred_type == "floating":
+                dtype = "int64"
+                if issubclass(result.dtype.type, np.number):
+                    do_round = True
+
+            else:
+                # TODO: complex?  what if result is already non-object?
+                dtype = "object"
+
+        dtype = np.dtype(dtype)
+
+    if not isinstance(dtype, np.dtype):
+        # enforce our signature annotation
+        raise TypeError(dtype)  # pragma: no cover
+
+    converted = maybe_downcast_numeric(result, dtype, do_round)
+    if converted is not result:
+        return converted
+
+    # a datetimelike
+    # GH12821, iNaT is cast to float
+    if dtype.kind in "mM" and result.dtype.kind in "if":
+        result = result.astype(dtype)
+
+    elif dtype.kind == "m" and result.dtype == _dtype_obj:
+        # test_where_downcast_to_td64
+        result = cast(np.ndarray, result)
+        result = array_to_timedelta64(result)
+
+    elif dtype == np.dtype("M8[ns]") and result.dtype == _dtype_obj:
+        result = cast(np.ndarray, result)
+        return np.asarray(maybe_cast_to_datetime(result, dtype=dtype))
+
+    return result
+
+
+@overload
+def maybe_downcast_numeric(
+    result: np.ndarray, dtype: np.dtype, do_round: bool = False
+) -> np.ndarray:
+    ...
+
+
+@overload
+def maybe_downcast_numeric(
+    result: ExtensionArray, dtype: DtypeObj, do_round: bool = False
+) -> ArrayLike:
+    ...
+
+
+def maybe_downcast_numeric(
+    result: ArrayLike, dtype: DtypeObj, do_round: bool = False
+) -> ArrayLike:
+    """
+    Subset of maybe_downcast_to_dtype restricted to numeric dtypes.
+
+    Parameters
+    ----------
+    result : ndarray or ExtensionArray
+    dtype : np.dtype or ExtensionDtype
+    do_round : bool
+
+    Returns
+    -------
+    ndarray or ExtensionArray
+    """
+    if not isinstance(dtype, np.dtype) or not isinstance(result.dtype, np.dtype):
+        # e.g. SparseDtype has no itemsize attr
+        return result
+
+    def trans(x):
+        if do_round:
+            return x.round()
+        return x
+
+    if dtype.kind == result.dtype.kind:
+        # don't allow upcasts here (except if empty)
+        if result.dtype.itemsize <= dtype.itemsize and result.size:
+            return result
+
+    if dtype.kind in "biu":
+        if not result.size:
+            # if we don't have any elements, just astype it
+            return trans(result).astype(dtype)
+
+        if isinstance(result, np.ndarray):
+            element = result.item(0)
+        else:
+            element = result.iloc[0]
+        if not isinstance(element, (np.integer, np.floating, int, float, bool)):
+            # a comparable, e.g. a Decimal may slip in here
+            return result
+
+        if (
+            issubclass(result.dtype.type, (np.object_, np.number))
+            and notna(result).all()
+        ):
+            new_result = trans(result).astype(dtype)
+            if new_result.dtype.kind == "O" or result.dtype.kind == "O":
+                # np.allclose may raise TypeError on object-dtype
+                if (new_result == result).all():
+                    return new_result
+            else:
+                if np.allclose(new_result, result, rtol=0):
+                    return new_result
+
+    elif (
+        issubclass(dtype.type, np.floating)
+        and result.dtype.kind != "b"
+        and not is_string_dtype(result.dtype)
+    ):
+        with warnings.catch_warnings():
+            warnings.filterwarnings(
+                "ignore", "overflow encountered in cast", RuntimeWarning
+            )
+            new_result = result.astype(dtype)
+
+        # Adjust tolerances based on floating point size
+        size_tols = {4: 5e-4, 8: 5e-8, 16: 5e-16}
+
+        atol = size_tols.get(new_result.dtype.itemsize, 0.0)
+
+        # Check downcast float values are still equal within 7 digits when
+        # converting from float64 to float32
+        if np.allclose(new_result, result, equal_nan=True, rtol=0.0, atol=atol):
+            return new_result
+
+    elif dtype.kind == result.dtype.kind == "c":
+        new_result = result.astype(dtype)
+
+        if np.array_equal(new_result, result, equal_nan=True):
+            # TODO: use tolerance like we do for float?
+            return new_result
+
+    return result
+
+
+def maybe_upcast_numeric_to_64bit(arr: NumpyIndexT) -> NumpyIndexT:
+    """
+    If array is a int/uint/float bit size lower than 64 bit, upcast it to 64 bit.
+
+    Parameters
+    ----------
+    arr : ndarray or ExtensionArray
+
+    Returns
+    -------
+    ndarray or ExtensionArray
+    """
+    dtype = arr.dtype
+    if dtype.kind == "i" and dtype != np.int64:
+        return arr.astype(np.int64)
+    elif dtype.kind == "u" and dtype != np.uint64:
+        return arr.astype(np.uint64)
+    elif dtype.kind == "f" and dtype != np.float64:
+        return arr.astype(np.float64)
+    else:
+        return arr
+
+
+def maybe_cast_pointwise_result(
+    result: ArrayLike,
+    dtype: DtypeObj,
+    numeric_only: bool = False,
+    same_dtype: bool = True,
+) -> ArrayLike:
+    """
+    Try casting result of a pointwise operation back to the original dtype if
+    appropriate.
+
+    Parameters
+    ----------
+    result : array-like
+        Result to cast.
+    dtype : np.dtype or ExtensionDtype
+        Input Series from which result was calculated.
+    numeric_only : bool, default False
+        Whether to cast only numerics or datetimes as well.
+    same_dtype : bool, default True
+        Specify dtype when calling _from_sequence
+
+    Returns
+    -------
+    result : array-like
+        result maybe casted to the dtype.
+    """
+
+    if isinstance(dtype, ExtensionDtype):
+        cls = dtype.construct_array_type()
+        if same_dtype:
+            result = _maybe_cast_to_extension_array(cls, result, dtype=dtype)
+        else:
+            result = _maybe_cast_to_extension_array(cls, result)
+
+    elif (numeric_only and dtype.kind in "iufcb") or not numeric_only:
+        result = maybe_downcast_to_dtype(result, dtype)
+
+    return result
+
+
+def _maybe_cast_to_extension_array(
+    cls: type[ExtensionArray], obj: ArrayLike, dtype: ExtensionDtype | None = None
+) -> ArrayLike:
+    """
+    Call to `_from_sequence` that returns the object unchanged on Exception.
+
+    Parameters
+    ----------
+    cls : class, subclass of ExtensionArray
+    obj : arraylike
+        Values to pass to cls._from_sequence
+    dtype : ExtensionDtype, optional
+
+    Returns
+    -------
+    ExtensionArray or obj
+    """
+    result: ArrayLike
+
+    if dtype is not None:
+        try:
+            result = cls._from_scalars(obj, dtype=dtype)
+        except (TypeError, ValueError):
+            return obj
+        return result
+
+    try:
+        result = cls._from_sequence(obj, dtype=dtype)
+    except Exception:
+        # We can't predict what downstream EA constructors may raise
+        result = obj
+    return result
+
+
+@overload
+def ensure_dtype_can_hold_na(dtype: np.dtype) -> np.dtype:
+    ...
+
+
+@overload
+def ensure_dtype_can_hold_na(dtype: ExtensionDtype) -> ExtensionDtype:
+    ...
+
+
+def ensure_dtype_can_hold_na(dtype: DtypeObj) -> DtypeObj:
+    """
+    If we have a dtype that cannot hold NA values, find the best match that can.
+    """
+    if isinstance(dtype, ExtensionDtype):
+        if dtype._can_hold_na:
+            return dtype
+        elif isinstance(dtype, IntervalDtype):
+            # TODO(GH#45349): don't special-case IntervalDtype, allow
+            #  overriding instead of returning object below.
+            return IntervalDtype(np.float64, closed=dtype.closed)
+        return _dtype_obj
+    elif dtype.kind == "b":
+        return _dtype_obj
+    elif dtype.kind in "iu":
+        return np.dtype(np.float64)
+    return dtype
+
+
+_canonical_nans = {
+    np.datetime64: np.datetime64("NaT", "ns"),
+    np.timedelta64: np.timedelta64("NaT", "ns"),
+    type(np.nan): np.nan,
+}
+
+
+def maybe_promote(dtype: np.dtype, fill_value=np.nan):
+    """
+    Find the minimal dtype that can hold both the given dtype and fill_value.
+
+    Parameters
+    ----------
+    dtype : np.dtype
+    fill_value : scalar, default np.nan
+
+    Returns
+    -------
+    dtype
+        Upcasted from dtype argument if necessary.
+    fill_value
+        Upcasted from fill_value argument if necessary.
+
+    Raises
+    ------
+    ValueError
+        If fill_value is a non-scalar and dtype is not object.
+    """
+    orig = fill_value
+    orig_is_nat = False
+    if checknull(fill_value):
+        # https://github.com/pandas-dev/pandas/pull/39692#issuecomment-1441051740
+        #  avoid cache misses with NaN/NaT values that are not singletons
+        if fill_value is not NA:
+            try:
+                orig_is_nat = np.isnat(fill_value)
+            except TypeError:
+                pass
+
+        fill_value = _canonical_nans.get(type(fill_value), fill_value)
+
+    # for performance, we are using a cached version of the actual implementation
+    # of the function in _maybe_promote. However, this doesn't always work (in case
+    # of non-hashable arguments), so we fallback to the actual implementation if needed
+    try:
+        # error: Argument 3 to "__call__" of "_lru_cache_wrapper" has incompatible type
+        # "Type[Any]"; expected "Hashable"  [arg-type]
+        dtype, fill_value = _maybe_promote_cached(
+            dtype, fill_value, type(fill_value)  # type: ignore[arg-type]
+        )
+    except TypeError:
+        # if fill_value is not hashable (required for caching)
+        dtype, fill_value = _maybe_promote(dtype, fill_value)
+
+    if (dtype == _dtype_obj and orig is not None) or (
+        orig_is_nat and np.datetime_data(orig)[0] != "ns"
+    ):
+        # GH#51592,53497 restore our potentially non-canonical fill_value
+        fill_value = orig
+    return dtype, fill_value
+
+
+@functools.lru_cache
+def _maybe_promote_cached(dtype, fill_value, fill_value_type):
+    # The cached version of _maybe_promote below
+    # This also use fill_value_type as (unused) argument to use this in the
+    # cache lookup -> to differentiate 1 and True
+    return _maybe_promote(dtype, fill_value)
+
+
+def _maybe_promote(dtype: np.dtype, fill_value=np.nan):
+    # The actual implementation of the function, use `maybe_promote` above for
+    # a cached version.
+    if not is_scalar(fill_value):
+        # with object dtype there is nothing to promote, and the user can
+        #  pass pretty much any weird fill_value they like
+        if dtype != object:
+            # with object dtype there is nothing to promote, and the user can
+            #  pass pretty much any weird fill_value they like
+            raise ValueError("fill_value must be a scalar")
+        dtype = _dtype_obj
+        return dtype, fill_value
+
+    if is_valid_na_for_dtype(fill_value, dtype) and dtype.kind in "iufcmM":
+        dtype = ensure_dtype_can_hold_na(dtype)
+        fv = na_value_for_dtype(dtype)
+        return dtype, fv
+
+    elif isinstance(dtype, CategoricalDtype):
+        if fill_value in dtype.categories or isna(fill_value):
+            return dtype, fill_value
+        else:
+            return object, ensure_object(fill_value)
+
+    elif isna(fill_value):
+        dtype = _dtype_obj
+        if fill_value is None:
+            # but we retain e.g. pd.NA
+            fill_value = np.nan
+        return dtype, fill_value
+
+    # returns tuple of (dtype, fill_value)
+    if issubclass(dtype.type, np.datetime64):
+        inferred, fv = infer_dtype_from_scalar(fill_value)
+        if inferred == dtype:
+            return dtype, fv
+
+        from pandas.core.arrays import DatetimeArray
+
+        dta = DatetimeArray._from_sequence([], dtype="M8[ns]")
+        try:
+            fv = dta._validate_setitem_value(fill_value)
+            return dta.dtype, fv
+        except (ValueError, TypeError):
+            return _dtype_obj, fill_value
+
+    elif issubclass(dtype.type, np.timedelta64):
+        inferred, fv = infer_dtype_from_scalar(fill_value)
+        if inferred == dtype:
+            return dtype, fv
+
+        elif inferred.kind == "m":
+            # different unit, e.g. passed np.timedelta64(24, "h") with dtype=m8[ns]
+            # see if we can losslessly cast it to our dtype
+            unit = np.datetime_data(dtype)[0]
+            try:
+                td = Timedelta(fill_value).as_unit(unit, round_ok=False)
+            except OutOfBoundsTimedelta:
+                return _dtype_obj, fill_value
+            else:
+                return dtype, td.asm8
+
+        return _dtype_obj, fill_value
+
+    elif is_float(fill_value):
+        if issubclass(dtype.type, np.bool_):
+            dtype = np.dtype(np.object_)
+
+        elif issubclass(dtype.type, np.integer):
+            dtype = np.dtype(np.float64)
+
+        elif dtype.kind == "f":
+            mst = np.min_scalar_type(fill_value)
+            if mst > dtype:
+                # e.g. mst is np.float64 and dtype is np.float32
+                dtype = mst
+
+        elif dtype.kind == "c":
+            mst = np.min_scalar_type(fill_value)
+            dtype = np.promote_types(dtype, mst)
+
+    elif is_bool(fill_value):
+        if not issubclass(dtype.type, np.bool_):
+            dtype = np.dtype(np.object_)
+
+    elif is_integer(fill_value):
+        if issubclass(dtype.type, np.bool_):
+            dtype = np.dtype(np.object_)
+
+        elif issubclass(dtype.type, np.integer):
+            if not np_can_cast_scalar(fill_value, dtype):  # type: ignore[arg-type]
+                # upcast to prevent overflow
+                mst = np.min_scalar_type(fill_value)
+                dtype = np.promote_types(dtype, mst)
+                if dtype.kind == "f":
+                    # Case where we disagree with numpy
+                    dtype = np.dtype(np.object_)
+
+    elif is_complex(fill_value):
+        if issubclass(dtype.type, np.bool_):
+            dtype = np.dtype(np.object_)
+
+        elif issubclass(dtype.type, (np.integer, np.floating)):
+            mst = np.min_scalar_type(fill_value)
+            dtype = np.promote_types(dtype, mst)
+
+        elif dtype.kind == "c":
+            mst = np.min_scalar_type(fill_value)
+            if mst > dtype:
+                # e.g. mst is np.complex128 and dtype is np.complex64
+                dtype = mst
+
+    else:
+        dtype = np.dtype(np.object_)
+
+    # in case we have a string that looked like a number
+    if issubclass(dtype.type, (bytes, str)):
+        dtype = np.dtype(np.object_)
+
+    fill_value = _ensure_dtype_type(fill_value, dtype)
+    return dtype, fill_value
+
+
+def _ensure_dtype_type(value, dtype: np.dtype):
+    """
+    Ensure that the given value is an instance of the given dtype.
+
+    e.g. if out dtype is np.complex64_, we should have an instance of that
+    as opposed to a python complex object.
+
+    Parameters
+    ----------
+    value : object
+    dtype : np.dtype
+
+    Returns
+    -------
+    object
+    """
+    # Start with exceptions in which we do _not_ cast to numpy types
+
+    if dtype == _dtype_obj:
+        return value
+
+    # Note: before we get here we have already excluded isna(value)
+    return dtype.type(value)
+
+
+def infer_dtype_from(val) -> tuple[DtypeObj, Any]:
+    """
+    Interpret the dtype from a scalar or array.
+
+    Parameters
+    ----------
+    val : object
+    """
+    if not is_list_like(val):
+        return infer_dtype_from_scalar(val)
+    return infer_dtype_from_array(val)
+
+
+def infer_dtype_from_scalar(val) -> tuple[DtypeObj, Any]:
+    """
+    Interpret the dtype from a scalar.
+
+    Parameters
+    ----------
+    val : object
+    """
+    dtype: DtypeObj = _dtype_obj
+
+    # a 1-element ndarray
+    if isinstance(val, np.ndarray):
+        if val.ndim != 0:
+            msg = "invalid ndarray passed to infer_dtype_from_scalar"
+            raise ValueError(msg)
+
+        dtype = val.dtype
+        val = lib.item_from_zerodim(val)
+
+    elif isinstance(val, str):
+        # If we create an empty array using a string to infer
+        # the dtype, NumPy will only allocate one character per entry
+        # so this is kind of bad. Alternately we could use np.repeat
+        # instead of np.empty (but then you still don't want things
+        # coming out as np.str_!
+
+        dtype = _dtype_obj
+        if using_pyarrow_string_dtype():
+            from pandas.core.arrays.string_ import StringDtype
+
+            dtype = StringDtype(storage="pyarrow_numpy")
+
+    elif isinstance(val, (np.datetime64, dt.datetime)):
+        try:
+            val = Timestamp(val)
+        except OutOfBoundsDatetime:
+            return _dtype_obj, val
+
+        if val is NaT or val.tz is None:
+            val = val.to_datetime64()
+            dtype = val.dtype
+            # TODO: test with datetime(2920, 10, 1) based on test_replace_dtypes
+        else:
+            dtype = DatetimeTZDtype(unit=val.unit, tz=val.tz)
+
+    elif isinstance(val, (np.timedelta64, dt.timedelta)):
+        try:
+            val = Timedelta(val)
+        except (OutOfBoundsTimedelta, OverflowError):
+            dtype = _dtype_obj
+        else:
+            if val is NaT:
+                val = np.timedelta64("NaT", "ns")
+            else:
+                val = val.asm8
+            dtype = val.dtype
+
+    elif is_bool(val):
+        dtype = np.dtype(np.bool_)
+
+    elif is_integer(val):
+        if isinstance(val, np.integer):
+            dtype = np.dtype(type(val))
+        else:
+            dtype = np.dtype(np.int64)
+
+        try:
+            np.array(val, dtype=dtype)
+        except OverflowError:
+            dtype = np.array(val).dtype
+
+    elif is_float(val):
+        if isinstance(val, np.floating):
+            dtype = np.dtype(type(val))
+        else:
+            dtype = np.dtype(np.float64)
+
+    elif is_complex(val):
+        dtype = np.dtype(np.complex128)
+
+    if isinstance(val, Period):
+        dtype = PeriodDtype(freq=val.freq)
+    elif isinstance(val, Interval):
+        subtype = infer_dtype_from_scalar(val.left)[0]
+        dtype = IntervalDtype(subtype=subtype, closed=val.closed)
+
+    return dtype, val
+
+
+def dict_compat(d: dict[Scalar, Scalar]) -> dict[Scalar, Scalar]:
+    """
+    Convert datetimelike-keyed dicts to a Timestamp-keyed dict.
+
+    Parameters
+    ----------
+    d: dict-like object
+
+    Returns
+    -------
+    dict
+    """
+    return {maybe_box_datetimelike(key): value for key, value in d.items()}
+
+
+def infer_dtype_from_array(arr) -> tuple[DtypeObj, ArrayLike]:
+    """
+    Infer the dtype from an array.
+
+    Parameters
+    ----------
+    arr : array
+
+    Returns
+    -------
+    tuple (pandas-compat dtype, array)
+
+
+    Examples
+    --------
+    >>> np.asarray([1, '1'])
+    array(['1', '1'], dtype='<U21')
+
+    >>> infer_dtype_from_array([1, '1'])
+    (dtype('O'), [1, '1'])
+    """
+    if isinstance(arr, np.ndarray):
+        return arr.dtype, arr
+
+    if not is_list_like(arr):
+        raise TypeError("'arr' must be list-like")
+
+    arr_dtype = getattr(arr, "dtype", None)
+    if isinstance(arr_dtype, ExtensionDtype):
+        return arr.dtype, arr
+
+    elif isinstance(arr, ABCSeries):
+        return arr.dtype, np.asarray(arr)
+
+    # don't force numpy coerce with nan's
+    inferred = lib.infer_dtype(arr, skipna=False)
+    if inferred in ["string", "bytes", "mixed", "mixed-integer"]:
+        return (np.dtype(np.object_), arr)
+
+    arr = np.asarray(arr)
+    return arr.dtype, arr
+
+
+def _maybe_infer_dtype_type(element):
+    """
+    Try to infer an object's dtype, for use in arithmetic ops.
+
+    Uses `element.dtype` if that's available.
+    Objects implementing the iterator protocol are cast to a NumPy array,
+    and from there the array's type is used.
+
+    Parameters
+    ----------
+    element : object
+        Possibly has a `.dtype` attribute, and possibly the iterator
+        protocol.
+
+    Returns
+    -------
+    tipo : type
+
+    Examples
+    --------
+    >>> from collections import namedtuple
+    >>> Foo = namedtuple("Foo", "dtype")
+    >>> _maybe_infer_dtype_type(Foo(np.dtype("i8")))
+    dtype('int64')
+    """
+    tipo = None
+    if hasattr(element, "dtype"):
+        tipo = element.dtype
+    elif is_list_like(element):
+        element = np.asarray(element)
+        tipo = element.dtype
+    return tipo
+
+
+def invalidate_string_dtypes(dtype_set: set[DtypeObj]) -> None:
+    """
+    Change string like dtypes to object for
+    ``DataFrame.select_dtypes()``.
+    """
+    # error: Argument 1 to <set> has incompatible type "Type[generic]"; expected
+    # "Union[dtype[Any], ExtensionDtype, None]"
+    # error: Argument 2 to <set> has incompatible type "Type[generic]"; expected
+    # "Union[dtype[Any], ExtensionDtype, None]"
+    non_string_dtypes = dtype_set - {
+        np.dtype("S").type,  # type: ignore[arg-type]
+        np.dtype("<U").type,  # type: ignore[arg-type]
+    }
+    if non_string_dtypes != dtype_set:
+        raise TypeError("string dtypes are not allowed, use 'object' instead")
+
+
+def coerce_indexer_dtype(indexer, categories) -> np.ndarray:
+    """coerce the indexer input array to the smallest dtype possible"""
+    length = len(categories)
+    if length < _int8_max:
+        return ensure_int8(indexer)
+    elif length < _int16_max:
+        return ensure_int16(indexer)
+    elif length < _int32_max:
+        return ensure_int32(indexer)
+    return ensure_int64(indexer)
+
+
+def convert_dtypes(
+    input_array: ArrayLike,
+    convert_string: bool = True,
+    convert_integer: bool = True,
+    convert_boolean: bool = True,
+    convert_floating: bool = True,
+    infer_objects: bool = False,
+    dtype_backend: Literal["numpy_nullable", "pyarrow"] = "numpy_nullable",
+) -> DtypeObj:
+    """
+    Convert objects to best possible type, and optionally,
+    to types supporting ``pd.NA``.
+
+    Parameters
+    ----------
+    input_array : ExtensionArray or np.ndarray
+    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()``.
+    convert_floating : bool, defaults True
+        Whether, if possible, conversion can be done to floating extension types.
+        If `convert_integer` is also True, preference will be give to integer
+        dtypes if the floats can be faithfully casted to integers.
+    infer_objects : bool, defaults False
+        Whether to also infer objects to float/int if possible. Is only hit if the
+        object array contains pd.NA.
+    dtype_backend : {'numpy_nullable', 'pyarrow'}, default 'numpy_nullable'
+        Back-end data type applied to the resultant :class:`DataFrame`
+        (still experimental). Behaviour is as follows:
+
+        * ``"numpy_nullable"``: returns nullable-dtype-backed :class:`DataFrame`
+          (default).
+        * ``"pyarrow"``: returns pyarrow-backed nullable :class:`ArrowDtype`
+          DataFrame.
+
+        .. versionadded:: 2.0
+
+    Returns
+    -------
+    np.dtype, or ExtensionDtype
+    """
+    inferred_dtype: str | DtypeObj
+
+    if (
+        convert_string or convert_integer or convert_boolean or convert_floating
+    ) and isinstance(input_array, np.ndarray):
+        if input_array.dtype == object:
+            inferred_dtype = lib.infer_dtype(input_array)
+        else:
+            inferred_dtype = input_array.dtype
+
+        if is_string_dtype(inferred_dtype):
+            if not convert_string or inferred_dtype == "bytes":
+                inferred_dtype = input_array.dtype
+            else:
+                inferred_dtype = pandas_dtype_func("string")
+
+        if convert_integer:
+            target_int_dtype = pandas_dtype_func("Int64")
+
+            if input_array.dtype.kind in "iu":
+                from pandas.core.arrays.integer import NUMPY_INT_TO_DTYPE
+
+                inferred_dtype = NUMPY_INT_TO_DTYPE.get(
+                    input_array.dtype, target_int_dtype
+                )
+            elif input_array.dtype.kind in "fcb":
+                # TODO: de-dup with maybe_cast_to_integer_array?
+                arr = input_array[notna(input_array)]
+                if (arr.astype(int) == arr).all():
+                    inferred_dtype = target_int_dtype
+                else:
+                    inferred_dtype = input_array.dtype
+            elif (
+                infer_objects
+                and input_array.dtype == object
+                and (isinstance(inferred_dtype, str) and inferred_dtype == "integer")
+            ):
+                inferred_dtype = target_int_dtype
+
+        if convert_floating:
+            if input_array.dtype.kind in "fcb":
+                # i.e. numeric but not integer
+                from pandas.core.arrays.floating import NUMPY_FLOAT_TO_DTYPE
+
+                inferred_float_dtype: DtypeObj = NUMPY_FLOAT_TO_DTYPE.get(
+                    input_array.dtype, pandas_dtype_func("Float64")
+                )
+                # if we could also convert to integer, check if all floats
+                # are actually integers
+                if convert_integer:
+                    # TODO: de-dup with maybe_cast_to_integer_array?
+                    arr = input_array[notna(input_array)]
+                    if (arr.astype(int) == arr).all():
+                        inferred_dtype = pandas_dtype_func("Int64")
+                    else:
+                        inferred_dtype = inferred_float_dtype
+                else:
+                    inferred_dtype = inferred_float_dtype
+            elif (
+                infer_objects
+                and input_array.dtype == object
+                and (
+                    isinstance(inferred_dtype, str)
+                    and inferred_dtype == "mixed-integer-float"
+                )
+            ):
+                inferred_dtype = pandas_dtype_func("Float64")
+
+        if convert_boolean:
+            if input_array.dtype.kind == "b":
+                inferred_dtype = pandas_dtype_func("boolean")
+            elif isinstance(inferred_dtype, str) and inferred_dtype == "boolean":
+                inferred_dtype = pandas_dtype_func("boolean")
+
+        if isinstance(inferred_dtype, str):
+            # If we couldn't do anything else, then we retain the dtype
+            inferred_dtype = input_array.dtype
+
+    else:
+        inferred_dtype = input_array.dtype
+
+    if dtype_backend == "pyarrow":
+        from pandas.core.arrays.arrow.array import to_pyarrow_type
+        from pandas.core.arrays.string_ import StringDtype
+
+        assert not isinstance(inferred_dtype, str)
+
+        if (
+            (convert_integer and inferred_dtype.kind in "iu")
+            or (convert_floating and inferred_dtype.kind in "fc")
+            or (convert_boolean and inferred_dtype.kind == "b")
+            or (convert_string and isinstance(inferred_dtype, StringDtype))
+            or (
+                inferred_dtype.kind not in "iufcb"
+                and not isinstance(inferred_dtype, StringDtype)
+            )
+        ):
+            if isinstance(inferred_dtype, PandasExtensionDtype) and not isinstance(
+                inferred_dtype, DatetimeTZDtype
+            ):
+                base_dtype = inferred_dtype.base
+            elif isinstance(inferred_dtype, (BaseMaskedDtype, ArrowDtype)):
+                base_dtype = inferred_dtype.numpy_dtype
+            elif isinstance(inferred_dtype, StringDtype):
+                base_dtype = np.dtype(str)
+            else:
+                base_dtype = inferred_dtype
+            if (
+                base_dtype.kind == "O"  # type: ignore[union-attr]
+                and input_array.size > 0
+                and isna(input_array).all()
+            ):
+                import pyarrow as pa
+
+                pa_type = pa.null()
+            else:
+                pa_type = to_pyarrow_type(base_dtype)
+            if pa_type is not None:
+                inferred_dtype = ArrowDtype(pa_type)
+    elif dtype_backend == "numpy_nullable" and isinstance(inferred_dtype, ArrowDtype):
+        # GH 53648
+        inferred_dtype = _arrow_dtype_mapping()[inferred_dtype.pyarrow_dtype]
+
+    # error: Incompatible return value type (got "Union[str, Union[dtype[Any],
+    # ExtensionDtype]]", expected "Union[dtype[Any], ExtensionDtype]")
+    return inferred_dtype  # type: ignore[return-value]
+
+
+def maybe_infer_to_datetimelike(
+    value: npt.NDArray[np.object_],
+) -> np.ndarray | DatetimeArray | TimedeltaArray | PeriodArray | IntervalArray:
+    """
+    we might have a array (or single object) that is datetime like,
+    and no dtype is passed don't change the value unless we find a
+    datetime/timedelta set
+
+    this is pretty strict in that a datetime/timedelta is REQUIRED
+    in addition to possible nulls/string likes
+
+    Parameters
+    ----------
+    value : np.ndarray[object]
+
+    Returns
+    -------
+    np.ndarray, DatetimeArray, TimedeltaArray, PeriodArray, or IntervalArray
+
+    """
+    if not isinstance(value, np.ndarray) or value.dtype != object:
+        # Caller is responsible for passing only ndarray[object]
+        raise TypeError(type(value))  # pragma: no cover
+    if value.ndim != 1:
+        # Caller is responsible
+        raise ValueError(value.ndim)  # pragma: no cover
+
+    if not len(value):
+        return value
+
+    # error: Incompatible return value type (got "Union[ExtensionArray,
+    # ndarray[Any, Any]]", expected "Union[ndarray[Any, Any], DatetimeArray,
+    # TimedeltaArray, PeriodArray, IntervalArray]")
+    return lib.maybe_convert_objects(  # type: ignore[return-value]
+        value,
+        # Here we do not convert numeric dtypes, as if we wanted that,
+        #  numpy would have done it for us.
+        convert_numeric=False,
+        convert_non_numeric=True,
+        dtype_if_all_nat=np.dtype("M8[ns]"),
+    )
+
+
+def maybe_cast_to_datetime(
+    value: np.ndarray | list, dtype: np.dtype
+) -> ExtensionArray | np.ndarray:
+    """
+    try to cast the array/value to a datetimelike dtype, converting float
+    nan to iNaT
+
+    Caller is responsible for handling ExtensionDtype cases and non dt64/td64
+    cases.
+    """
+    from pandas.core.arrays.datetimes import DatetimeArray
+    from pandas.core.arrays.timedeltas import TimedeltaArray
+
+    assert dtype.kind in "mM"
+    if not is_list_like(value):
+        raise TypeError("value must be listlike")
+
+    # TODO: _from_sequence would raise ValueError in cases where
+    #  _ensure_nanosecond_dtype raises TypeError
+    _ensure_nanosecond_dtype(dtype)
+
+    if lib.is_np_dtype(dtype, "m"):
+        res = TimedeltaArray._from_sequence(value, dtype=dtype)
+        return res
+    else:
+        try:
+            dta = DatetimeArray._from_sequence(value, dtype=dtype)
+        except ValueError as err:
+            # We can give a Series-specific exception message.
+            if "cannot supply both a tz and a timezone-naive dtype" in str(err):
+                raise ValueError(
+                    "Cannot convert timezone-aware data to "
+                    "timezone-naive dtype. Use "
+                    "pd.Series(values).dt.tz_localize(None) instead."
+                ) from err
+            raise
+
+        return dta
+
+
+def _ensure_nanosecond_dtype(dtype: DtypeObj) -> None:
+    """
+    Convert dtypes with granularity less than nanosecond to nanosecond
+
+    >>> _ensure_nanosecond_dtype(np.dtype("M8[us]"))
+
+    >>> _ensure_nanosecond_dtype(np.dtype("M8[D]"))
+    Traceback (most recent call last):
+        ...
+    TypeError: dtype=datetime64[D] is not supported. Supported resolutions are 's', 'ms', 'us', and 'ns'
+
+    >>> _ensure_nanosecond_dtype(np.dtype("m8[ps]"))
+    Traceback (most recent call last):
+        ...
+    TypeError: dtype=timedelta64[ps] is not supported. Supported resolutions are 's', 'ms', 'us', and 'ns'
+    """  # noqa: E501
+    msg = (
+        f"The '{dtype.name}' dtype has no unit. "
+        f"Please pass in '{dtype.name}[ns]' instead."
+    )
+
+    # unpack e.g. SparseDtype
+    dtype = getattr(dtype, "subtype", dtype)
+
+    if not isinstance(dtype, np.dtype):
+        # i.e. datetime64tz
+        pass
+
+    elif dtype.kind in "mM":
+        if not is_supported_dtype(dtype):
+            # pre-2.0 we would silently swap in nanos for lower-resolutions,
+            #  raise for above-nano resolutions
+            if dtype.name in ["datetime64", "timedelta64"]:
+                raise ValueError(msg)
+            # TODO: ValueError or TypeError? existing test
+            #  test_constructor_generic_timestamp_bad_frequency expects TypeError
+            raise TypeError(
+                f"dtype={dtype} is not supported. Supported resolutions are 's', "
+                "'ms', 'us', and 'ns'"
+            )
+
+
+# TODO: other value-dependent functions to standardize here include
+#  Index._find_common_type_compat
+def find_result_type(left_dtype: DtypeObj, right: Any) -> DtypeObj:
+    """
+    Find the type/dtype for the result of an operation between objects.
+
+    This is similar to find_common_type, but looks at the right object instead
+    of just its dtype. This can be useful in particular when the right
+    object does not have a `dtype`.
+
+    Parameters
+    ----------
+    left_dtype : np.dtype or ExtensionDtype
+    right : Any
+
+    Returns
+    -------
+    np.dtype or ExtensionDtype
+
+    See also
+    --------
+    find_common_type
+    numpy.result_type
+    """
+    new_dtype: DtypeObj
+
+    if (
+        isinstance(left_dtype, np.dtype)
+        and left_dtype.kind in "iuc"
+        and (lib.is_integer(right) or lib.is_float(right))
+    ):
+        # e.g. with int8 dtype and right=512, we want to end up with
+        # np.int16, whereas infer_dtype_from(512) gives np.int64,
+        #  which will make us upcast too far.
+        if lib.is_float(right) and right.is_integer() and left_dtype.kind != "f":
+            right = int(right)
+        # After NEP 50, numpy won't inspect Python scalars
+        # TODO: do we need to recreate numpy's inspection logic for floats too
+        # (this breaks some tests)
+        if isinstance(right, int) and not isinstance(right, np.integer):
+            # This gives an unsigned type by default
+            # (if our number is positive)
+
+            # If our left dtype is signed, we might not want this since
+            # this might give us 1 dtype too big
+            # We should check if the corresponding int dtype (e.g. int64 for uint64)
+            # can hold the number
+            right_dtype = np.min_scalar_type(right)
+            if right == 0:
+                # Special case 0
+                right = left_dtype
+            elif (
+                not np.issubdtype(left_dtype, np.unsignedinteger)
+                and 0 < right <= np.iinfo(right_dtype).max
+            ):
+                # If left dtype isn't unsigned, check if it fits in the signed dtype
+                right = np.dtype(f"i{right_dtype.itemsize}")
+            else:
+                right = right_dtype
+
+        new_dtype = np.result_type(left_dtype, right)
+
+    elif is_valid_na_for_dtype(right, left_dtype):
+        # e.g. IntervalDtype[int] and None/np.nan
+        new_dtype = ensure_dtype_can_hold_na(left_dtype)
+
+    else:
+        dtype, _ = infer_dtype_from(right)
+        new_dtype = find_common_type([left_dtype, dtype])
+
+    return new_dtype
+
+
+def common_dtype_categorical_compat(
+    objs: Sequence[Index | ArrayLike], dtype: DtypeObj
+) -> DtypeObj:
+    """
+    Update the result of find_common_type to account for NAs in a Categorical.
+
+    Parameters
+    ----------
+    objs : list[np.ndarray | ExtensionArray | Index]
+    dtype : np.dtype or ExtensionDtype
+
+    Returns
+    -------
+    np.dtype or ExtensionDtype
+    """
+    # GH#38240
+
+    # TODO: more generally, could do `not can_hold_na(dtype)`
+    if lib.is_np_dtype(dtype, "iu"):
+        for obj in objs:
+            # We don't want to accientally allow e.g. "categorical" str here
+            obj_dtype = getattr(obj, "dtype", None)
+            if isinstance(obj_dtype, CategoricalDtype):
+                if isinstance(obj, ABCIndex):
+                    # This check may already be cached
+                    hasnas = obj.hasnans
+                else:
+                    # Categorical
+                    hasnas = cast("Categorical", obj)._hasna
+
+                if hasnas:
+                    # see test_union_int_categorical_with_nan
+                    dtype = np.dtype(np.float64)
+                    break
+    return dtype
+
+
+def np_find_common_type(*dtypes: np.dtype) -> np.dtype:
+    """
+    np.find_common_type implementation pre-1.25 deprecation using np.result_type
+    https://github.com/pandas-dev/pandas/pull/49569#issuecomment-1308300065
+
+    Parameters
+    ----------
+    dtypes : np.dtypes
+
+    Returns
+    -------
+    np.dtype
+    """
+    try:
+        common_dtype = np.result_type(*dtypes)
+        if common_dtype.kind in "mMSU":
+            # NumPy promotion currently (1.25) misbehaves for for times and strings,
+            # so fall back to object (find_common_dtype did unless there
+            # was only one dtype)
+            common_dtype = np.dtype("O")
+
+    except TypeError:
+        common_dtype = np.dtype("O")
+    return common_dtype
+
+
+@overload
+def find_common_type(types: list[np.dtype]) -> np.dtype:
+    ...
+
+
+@overload
+def find_common_type(types: list[ExtensionDtype]) -> DtypeObj:
+    ...
+
+
+@overload
+def find_common_type(types: list[DtypeObj]) -> DtypeObj:
+    ...
+
+
+def find_common_type(types):
+    """
+    Find a common data type among the given dtypes.
+
+    Parameters
+    ----------
+    types : list of dtypes
+
+    Returns
+    -------
+    pandas extension or numpy dtype
+
+    See Also
+    --------
+    numpy.find_common_type
+
+    """
+    if not types:
+        raise ValueError("no types given")
+
+    first = types[0]
+
+    # workaround for find_common_type([np.dtype('datetime64[ns]')] * 2)
+    # => object
+    if lib.dtypes_all_equal(list(types)):
+        return first
+
+    # get unique types (dict.fromkeys is used as order-preserving set())
+    types = list(dict.fromkeys(types).keys())
+
+    if any(isinstance(t, ExtensionDtype) for t in types):
+        for t in types:
+            if isinstance(t, ExtensionDtype):
+                res = t._get_common_dtype(types)
+                if res is not None:
+                    return res
+        return np.dtype("object")
+
+    # take lowest unit
+    if all(lib.is_np_dtype(t, "M") for t in types):
+        return np.dtype(max(types))
+    if all(lib.is_np_dtype(t, "m") for t in types):
+        return np.dtype(max(types))
+
+    # don't mix bool / int or float or complex
+    # this is different from numpy, which casts bool with float/int as int
+    has_bools = any(t.kind == "b" for t in types)
+    if has_bools:
+        for t in types:
+            if t.kind in "iufc":
+                return np.dtype("object")
+
+    return np_find_common_type(*types)
+
+
+def construct_2d_arraylike_from_scalar(
+    value: Scalar, length: int, width: int, dtype: np.dtype, copy: bool
+) -> np.ndarray:
+    shape = (length, width)
+
+    if dtype.kind in "mM":
+        value = _maybe_box_and_unbox_datetimelike(value, dtype)
+    elif dtype == _dtype_obj:
+        if isinstance(value, (np.timedelta64, np.datetime64)):
+            # calling np.array below would cast to pytimedelta/pydatetime
+            out = np.empty(shape, dtype=object)
+            out.fill(value)
+            return out
+
+    # Attempt to coerce to a numpy array
+    try:
+        if not copy:
+            arr = np.asarray(value, dtype=dtype)
+        else:
+            arr = np.array(value, dtype=dtype, copy=copy)
+    except (ValueError, TypeError) as err:
+        raise TypeError(
+            f"DataFrame constructor called with incompatible data and dtype: {err}"
+        ) from err
+
+    if arr.ndim != 0:
+        raise ValueError("DataFrame constructor not properly called!")
+
+    return np.full(shape, arr)
+
+
+def construct_1d_arraylike_from_scalar(
+    value: Scalar, length: int, dtype: DtypeObj | None
+) -> ArrayLike:
+    """
+    create a np.ndarray / pandas type of specified shape and dtype
+    filled with values
+
+    Parameters
+    ----------
+    value : scalar value
+    length : int
+    dtype : pandas_dtype or np.dtype
+
+    Returns
+    -------
+    np.ndarray / pandas type of length, filled with value
+
+    """
+
+    if dtype is None:
+        try:
+            dtype, value = infer_dtype_from_scalar(value)
+        except OutOfBoundsDatetime:
+            dtype = _dtype_obj
+
+    if isinstance(dtype, ExtensionDtype):
+        cls = dtype.construct_array_type()
+        seq = [] if length == 0 else [value]
+        subarr = cls._from_sequence(seq, dtype=dtype).repeat(length)
+
+    else:
+        if length and dtype.kind in "iu" and isna(value):
+            # coerce if we have nan for an integer dtype
+            dtype = np.dtype("float64")
+        elif lib.is_np_dtype(dtype, "US"):
+            # we need to coerce to object dtype to avoid
+            # to allow numpy to take our string as a scalar value
+            dtype = np.dtype("object")
+            if not isna(value):
+                value = ensure_str(value)
+        elif dtype.kind in "mM":
+            value = _maybe_box_and_unbox_datetimelike(value, dtype)
+
+        subarr = np.empty(length, dtype=dtype)
+        if length:
+            # GH 47391: numpy > 1.24 will raise filling np.nan into int dtypes
+            subarr.fill(value)
+
+    return subarr
+
+
+def _maybe_box_and_unbox_datetimelike(value: Scalar, dtype: DtypeObj):
+    # Caller is responsible for checking dtype.kind in "mM"
+
+    if isinstance(value, dt.datetime):
+        # we dont want to box dt64, in particular datetime64("NaT")
+        value = maybe_box_datetimelike(value, dtype)
+
+    return _maybe_unbox_datetimelike(value, dtype)
+
+
+def construct_1d_object_array_from_listlike(values: Sized) -> np.ndarray:
+    """
+    Transform any list-like object in a 1-dimensional numpy array of object
+    dtype.
+
+    Parameters
+    ----------
+    values : any iterable which has a len()
+
+    Raises
+    ------
+    TypeError
+        * If `values` does not have a len()
+
+    Returns
+    -------
+    1-dimensional numpy array of dtype object
+    """
+    # numpy will try to interpret nested lists as further dimensions, hence
+    # making a 1D array that contains list-likes is a bit tricky:
+    result = np.empty(len(values), dtype="object")
+    result[:] = values
+    return result
+
+
+def maybe_cast_to_integer_array(arr: list | np.ndarray, dtype: np.dtype) -> np.ndarray:
+    """
+    Takes any dtype and returns the casted version, raising for when data is
+    incompatible with integer/unsigned integer dtypes.
+
+    Parameters
+    ----------
+    arr : np.ndarray or list
+        The array to cast.
+    dtype : np.dtype
+        The integer dtype to cast the array to.
+
+    Returns
+    -------
+    ndarray
+        Array of integer or unsigned integer dtype.
+
+    Raises
+    ------
+    OverflowError : the dtype is incompatible with the data
+    ValueError : loss of precision has occurred during casting
+
+    Examples
+    --------
+    If you try to coerce negative values to unsigned integers, it raises:
+
+    >>> pd.Series([-1], dtype="uint64")
+    Traceback (most recent call last):
+        ...
+    OverflowError: Trying to coerce negative values to unsigned integers
+
+    Also, if you try to coerce float values to integers, it raises:
+
+    >>> maybe_cast_to_integer_array([1, 2, 3.5], dtype=np.dtype("int64"))
+    Traceback (most recent call last):
+        ...
+    ValueError: Trying to coerce float values to integers
+    """
+    assert dtype.kind in "iu"
+
+    try:
+        if not isinstance(arr, np.ndarray):
+            with warnings.catch_warnings():
+                # We already disallow dtype=uint w/ negative numbers
+                # (test_constructor_coercion_signed_to_unsigned) so safe to ignore.
+                if not np_version_gt2:
+                    warnings.filterwarnings(
+                        "ignore",
+                        "NumPy will stop allowing conversion of "
+                        "out-of-bound Python int",
+                        DeprecationWarning,
+                    )
+                casted = np.asarray(arr, dtype=dtype)
+        else:
+            with warnings.catch_warnings():
+                warnings.filterwarnings("ignore", category=RuntimeWarning)
+                casted = arr.astype(dtype, copy=False)
+    except OverflowError as err:
+        raise OverflowError(
+            "The elements provided in the data cannot all be "
+            f"casted to the dtype {dtype}"
+        ) from err
+
+    if isinstance(arr, np.ndarray) and arr.dtype == dtype:
+        # avoid expensive array_equal check
+        return casted
+
+    with warnings.catch_warnings():
+        warnings.filterwarnings("ignore", category=RuntimeWarning)
+        warnings.filterwarnings(
+            "ignore", "elementwise comparison failed", FutureWarning
+        )
+        if np.array_equal(arr, casted):
+            return casted
+
+    # We do this casting to allow for proper
+    # data and dtype checking.
+    #
+    # We didn't do this earlier because NumPy
+    # doesn't handle `uint64` correctly.
+    arr = np.asarray(arr)
+
+    if np.issubdtype(arr.dtype, str):
+        # TODO(numpy-2.0 min): This case will raise an OverflowError above
+        if (casted.astype(str) == arr).all():
+            return casted
+        raise ValueError(f"string values cannot be losslessly cast to {dtype}")
+
+    if dtype.kind == "u" and (arr < 0).any():
+        # TODO: can this be hit anymore after numpy 2.0?
+        raise OverflowError("Trying to coerce negative values to unsigned integers")
+
+    if arr.dtype.kind == "f":
+        if not np.isfinite(arr).all():
+            raise IntCastingNaNError(
+                "Cannot convert non-finite values (NA or inf) to integer"
+            )
+        raise ValueError("Trying to coerce float values to integers")
+    if arr.dtype == object:
+        raise ValueError("Trying to coerce float values to integers")
+
+    if casted.dtype < arr.dtype:
+        # TODO: Can this path be hit anymore with numpy > 2
+        # GH#41734 e.g. [1, 200, 923442] and dtype="int8" -> overflows
+        raise ValueError(
+            f"Values are too large to be losslessly converted to {dtype}. "
+            f"To cast anyway, use pd.Series(values).astype({dtype})"
+        )
+
+    if arr.dtype.kind in "mM":
+        # test_constructor_maskedarray_nonfloat
+        raise TypeError(
+            f"Constructing a Series or DataFrame from {arr.dtype} values and "
+            f"dtype={dtype} is not supported. Use values.view({dtype}) instead."
+        )
+
+    # No known cases that get here, but raising explicitly to cover our bases.
+    raise ValueError(f"values cannot be losslessly cast to {dtype}")
+
+
+def can_hold_element(arr: ArrayLike, element: Any) -> bool:
+    """
+    Can we do an inplace setitem with this element in an array with this dtype?
+
+    Parameters
+    ----------
+    arr : np.ndarray or ExtensionArray
+    element : Any
+
+    Returns
+    -------
+    bool
+    """
+    dtype = arr.dtype
+    if not isinstance(dtype, np.dtype) or dtype.kind in "mM":
+        if isinstance(dtype, (PeriodDtype, IntervalDtype, DatetimeTZDtype, np.dtype)):
+            # np.dtype here catches datetime64ns and timedelta64ns; we assume
+            #  in this case that we have DatetimeArray/TimedeltaArray
+            arr = cast(
+                "PeriodArray | DatetimeArray | TimedeltaArray | IntervalArray", arr
+            )
+            try:
+                arr._validate_setitem_value(element)
+                return True
+            except (ValueError, TypeError):
+                return False
+
+        # This is technically incorrect, but maintains the behavior of
+        # ExtensionBlock._can_hold_element
+        return True
+
+    try:
+        np_can_hold_element(dtype, element)
+        return True
+    except (TypeError, LossySetitemError):
+        return False
+
+
+def np_can_hold_element(dtype: np.dtype, element: Any) -> Any:
+    """
+    Raise if we cannot losslessly set this element into an ndarray with this dtype.
+
+    Specifically about places where we disagree with numpy.  i.e. there are
+    cases where numpy will raise in doing the setitem that we do not check
+    for here, e.g. setting str "X" into a numeric ndarray.
+
+    Returns
+    -------
+    Any
+        The element, potentially cast to the dtype.
+
+    Raises
+    ------
+    ValueError : If we cannot losslessly store this element with this dtype.
+    """
+    if dtype == _dtype_obj:
+        return element
+
+    tipo = _maybe_infer_dtype_type(element)
+
+    if dtype.kind in "iu":
+        if isinstance(element, range):
+            if _dtype_can_hold_range(element, dtype):
+                return element
+            raise LossySetitemError
+
+        if is_integer(element) or (is_float(element) and element.is_integer()):
+            # e.g. test_setitem_series_int8 if we have a python int 1
+            #  tipo may be np.int32, despite the fact that it will fit
+            #  in smaller int dtypes.
+            info = np.iinfo(dtype)
+            if info.min <= element <= info.max:
+                return dtype.type(element)
+            raise LossySetitemError
+
+        if tipo is not None:
+            if tipo.kind not in "iu":
+                if isinstance(element, np.ndarray) and element.dtype.kind == "f":
+                    # If all can be losslessly cast to integers, then we can hold them
+                    with np.errstate(invalid="ignore"):
+                        # We check afterwards if cast was losslessly, so no need to show
+                        # the warning
+                        casted = element.astype(dtype)
+                    comp = casted == element
+                    if comp.all():
+                        # Return the casted values bc they can be passed to
+                        #  np.putmask, whereas the raw values cannot.
+                        #  see TestSetitemFloatNDarrayIntoIntegerSeries
+                        return casted
+                    raise LossySetitemError
+
+                elif isinstance(element, ABCExtensionArray) and isinstance(
+                    element.dtype, CategoricalDtype
+                ):
+                    # GH#52927 setting Categorical value into non-EA frame
+                    # TODO: general-case for EAs?
+                    try:
+                        casted = element.astype(dtype)
+                    except (ValueError, TypeError):
+                        raise LossySetitemError
+                    # Check for cases of either
+                    #  a) lossy overflow/rounding or
+                    #  b) semantic changes like dt64->int64
+                    comp = casted == element
+                    if not comp.all():
+                        raise LossySetitemError
+                    return casted
+
+                # Anything other than integer we cannot hold
+                raise LossySetitemError
+            if (
+                dtype.kind == "u"
+                and isinstance(element, np.ndarray)
+                and element.dtype.kind == "i"
+            ):
+                # see test_where_uint64
+                casted = element.astype(dtype)
+                if (casted == element).all():
+                    # TODO: faster to check (element >=0).all()?  potential
+                    #  itemsize issues there?
+                    return casted
+                raise LossySetitemError
+            if dtype.itemsize < tipo.itemsize:
+                raise LossySetitemError
+            if not isinstance(tipo, np.dtype):
+                # i.e. nullable IntegerDtype; we can put this into an ndarray
+                #  losslessly iff it has no NAs
+                arr = element._values if isinstance(element, ABCSeries) else element
+                if arr._hasna:
+                    raise LossySetitemError
+                return element
+
+            return element
+
+        raise LossySetitemError
+
+    if dtype.kind == "f":
+        if lib.is_integer(element) or lib.is_float(element):
+            casted = dtype.type(element)
+            if np.isnan(casted) or casted == element:
+                return casted
+            # otherwise e.g. overflow see TestCoercionFloat32
+            raise LossySetitemError
+
+        if tipo is not None:
+            # TODO: itemsize check?
+            if tipo.kind not in "iuf":
+                # Anything other than float/integer we cannot hold
+                raise LossySetitemError
+            if not isinstance(tipo, np.dtype):
+                # i.e. nullable IntegerDtype or FloatingDtype;
+                #  we can put this into an ndarray losslessly iff it has no NAs
+                if element._hasna:
+                    raise LossySetitemError
+                return element
+            elif tipo.itemsize > dtype.itemsize or tipo.kind != dtype.kind:
+                if isinstance(element, np.ndarray):
+                    # e.g. TestDataFrameIndexingWhere::test_where_alignment
+                    casted = element.astype(dtype)
+                    if np.array_equal(casted, element, equal_nan=True):
+                        return casted
+                    raise LossySetitemError
+
+            return element
+
+        raise LossySetitemError
+
+    if dtype.kind == "c":
+        if lib.is_integer(element) or lib.is_complex(element) or lib.is_float(element):
+            if np.isnan(element):
+                # see test_where_complex GH#6345
+                return dtype.type(element)
+
+            with warnings.catch_warnings():
+                warnings.filterwarnings("ignore")
+                casted = dtype.type(element)
+            if casted == element:
+                return casted
+            # otherwise e.g. overflow see test_32878_complex_itemsize
+            raise LossySetitemError
+
+        if tipo is not None:
+            if tipo.kind in "iufc":
+                return element
+            raise LossySetitemError
+        raise LossySetitemError
+
+    if dtype.kind == "b":
+        if tipo is not None:
+            if tipo.kind == "b":
+                if not isinstance(tipo, np.dtype):
+                    # i.e. we have a BooleanArray
+                    if element._hasna:
+                        # i.e. there are pd.NA elements
+                        raise LossySetitemError
+                return element
+            raise LossySetitemError
+        if lib.is_bool(element):
+            return element
+        raise LossySetitemError
+
+    if dtype.kind == "S":
+        # TODO: test tests.frame.methods.test_replace tests get here,
+        #  need more targeted tests.  xref phofl has a PR about this
+        if tipo is not None:
+            if tipo.kind == "S" and tipo.itemsize <= dtype.itemsize:
+                return element
+            raise LossySetitemError
+        if isinstance(element, bytes) and len(element) <= dtype.itemsize:
+            return element
+        raise LossySetitemError
+
+    if dtype.kind == "V":
+        # i.e. np.void, which cannot hold _anything_
+        raise LossySetitemError
+
+    raise NotImplementedError(dtype)
+
+
+def _dtype_can_hold_range(rng: range, dtype: np.dtype) -> bool:
+    """
+    _maybe_infer_dtype_type infers to int64 (and float64 for very large endpoints),
+    but in many cases a range can be held by a smaller integer dtype.
+    Check if this is one of those cases.
+    """
+    if not len(rng):
+        return True
+    return np_can_cast_scalar(rng.start, dtype) and np_can_cast_scalar(rng.stop, dtype)
+
+
+def np_can_cast_scalar(element: Scalar, dtype: np.dtype) -> bool:
+    """
+    np.can_cast pandas-equivalent for pre 2-0 behavior that allowed scalar
+    inference
+
+    Parameters
+    ----------
+    element : Scalar
+    dtype : np.dtype
+
+    Returns
+    -------
+    bool
+    """
+    try:
+        np_can_hold_element(dtype, element)
+        return True
+    except (LossySetitemError, NotImplementedError):
+        return False

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/common.py

@@ -0,0 +1,1748 @@
+"""
+Common type operations.
+"""
+from __future__ import annotations
+
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    Callable,
+)
+import warnings
+
+import numpy as np
+
+from pandas._libs import (
+    Interval,
+    Period,
+    algos,
+    lib,
+)
+from pandas._libs.tslibs import conversion
+from pandas.util._exceptions import find_stack_level
+
+from pandas.core.dtypes.base import _registry as registry
+from pandas.core.dtypes.dtypes import (
+    CategoricalDtype,
+    DatetimeTZDtype,
+    ExtensionDtype,
+    IntervalDtype,
+    PeriodDtype,
+    SparseDtype,
+)
+from pandas.core.dtypes.generic import ABCIndex
+from pandas.core.dtypes.inference import (
+    is_array_like,
+    is_bool,
+    is_complex,
+    is_dataclass,
+    is_decimal,
+    is_dict_like,
+    is_file_like,
+    is_float,
+    is_hashable,
+    is_integer,
+    is_interval,
+    is_iterator,
+    is_list_like,
+    is_named_tuple,
+    is_nested_list_like,
+    is_number,
+    is_re,
+    is_re_compilable,
+    is_scalar,
+    is_sequence,
+)
+
+if TYPE_CHECKING:
+    from pandas._typing import (
+        ArrayLike,
+        DtypeObj,
+    )
+
+DT64NS_DTYPE = conversion.DT64NS_DTYPE
+TD64NS_DTYPE = conversion.TD64NS_DTYPE
+INT64_DTYPE = np.dtype(np.int64)
+
+# oh the troubles to reduce import time
+_is_scipy_sparse = None
+
+ensure_float64 = algos.ensure_float64
+ensure_int64 = algos.ensure_int64
+ensure_int32 = algos.ensure_int32
+ensure_int16 = algos.ensure_int16
+ensure_int8 = algos.ensure_int8
+ensure_platform_int = algos.ensure_platform_int
+ensure_object = algos.ensure_object
+ensure_uint64 = algos.ensure_uint64
+
+
+def ensure_str(value: bytes | Any) -> str:
+    """
+    Ensure that bytes and non-strings get converted into ``str`` objects.
+    """
+    if isinstance(value, bytes):
+        value = value.decode("utf-8")
+    elif not isinstance(value, str):
+        value = str(value)
+    return value
+
+
+def ensure_python_int(value: int | np.integer) -> int:
+    """
+    Ensure that a value is a python int.
+
+    Parameters
+    ----------
+    value: int or numpy.integer
+
+    Returns
+    -------
+    int
+
+    Raises
+    ------
+    TypeError: if the value isn't an int or can't be converted to one.
+    """
+    if not (is_integer(value) or is_float(value)):
+        if not is_scalar(value):
+            raise TypeError(
+                f"Value needs to be a scalar value, was type {type(value).__name__}"
+            )
+        raise TypeError(f"Wrong type {type(value)} for value {value}")
+    try:
+        new_value = int(value)
+        assert new_value == value
+    except (TypeError, ValueError, AssertionError) as err:
+        raise TypeError(f"Wrong type {type(value)} for value {value}") from err
+    return new_value
+
+
+def classes(*klasses) -> Callable:
+    """Evaluate if the tipo is a subclass of the klasses."""
+    return lambda tipo: issubclass(tipo, klasses)
+
+
+def _classes_and_not_datetimelike(*klasses) -> Callable:
+    """
+    Evaluate if the tipo is a subclass of the klasses
+    and not a datetimelike.
+    """
+    return lambda tipo: (
+        issubclass(tipo, klasses)
+        and not issubclass(tipo, (np.datetime64, np.timedelta64))
+    )
+
+
+def is_object_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether an array-like or dtype is of the object dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like or dtype is of the object dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_object_dtype
+    >>> is_object_dtype(object)
+    True
+    >>> is_object_dtype(int)
+    False
+    >>> is_object_dtype(np.array([], dtype=object))
+    True
+    >>> is_object_dtype(np.array([], dtype=int))
+    False
+    >>> is_object_dtype([1, 2, 3])
+    False
+    """
+    return _is_dtype_type(arr_or_dtype, classes(np.object_))
+
+
+def is_sparse(arr) -> bool:
+    """
+    Check whether an array-like is a 1-D pandas sparse array.
+
+    .. deprecated:: 2.1.0
+        Use isinstance(dtype, pd.SparseDtype) instead.
+
+    Check that the one-dimensional array-like is a pandas sparse array.
+    Returns True if it is a pandas sparse array, not another type of
+    sparse array.
+
+    Parameters
+    ----------
+    arr : array-like
+        Array-like to check.
+
+    Returns
+    -------
+    bool
+        Whether or not the array-like is a pandas sparse array.
+
+    Examples
+    --------
+    Returns `True` if the parameter is a 1-D pandas sparse array.
+
+    >>> from pandas.api.types import is_sparse
+    >>> is_sparse(pd.arrays.SparseArray([0, 0, 1, 0]))
+    True
+    >>> is_sparse(pd.Series(pd.arrays.SparseArray([0, 0, 1, 0])))
+    True
+
+    Returns `False` if the parameter is not sparse.
+
+    >>> is_sparse(np.array([0, 0, 1, 0]))
+    False
+    >>> is_sparse(pd.Series([0, 1, 0, 0]))
+    False
+
+    Returns `False` if the parameter is not a pandas sparse array.
+
+    >>> from scipy.sparse import bsr_matrix
+    >>> is_sparse(bsr_matrix([0, 1, 0, 0]))
+    False
+
+    Returns `False` if the parameter has more than one dimension.
+    """
+    warnings.warn(
+        "is_sparse is deprecated and will be removed in a future "
+        "version. Check `isinstance(dtype, pd.SparseDtype)` instead.",
+        DeprecationWarning,
+        stacklevel=2,
+    )
+
+    dtype = getattr(arr, "dtype", arr)
+    return isinstance(dtype, SparseDtype)
+
+
+def is_scipy_sparse(arr) -> bool:
+    """
+    Check whether an array-like is a scipy.sparse.spmatrix instance.
+
+    Parameters
+    ----------
+    arr : array-like
+        The array-like to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like is a scipy.sparse.spmatrix instance.
+
+    Notes
+    -----
+    If scipy is not installed, this function will always return False.
+
+    Examples
+    --------
+    >>> from scipy.sparse import bsr_matrix
+    >>> is_scipy_sparse(bsr_matrix([1, 2, 3]))
+    True
+    >>> is_scipy_sparse(pd.arrays.SparseArray([1, 2, 3]))
+    False
+    """
+    global _is_scipy_sparse
+
+    if _is_scipy_sparse is None:  # pylint: disable=used-before-assignment
+        try:
+            from scipy.sparse import issparse as _is_scipy_sparse
+        except ImportError:
+            _is_scipy_sparse = lambda _: False
+
+    assert _is_scipy_sparse is not None
+    return _is_scipy_sparse(arr)
+
+
+def is_datetime64_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether an array-like or dtype is of the datetime64 dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like or dtype is of the datetime64 dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_datetime64_dtype
+    >>> is_datetime64_dtype(object)
+    False
+    >>> is_datetime64_dtype(np.datetime64)
+    True
+    >>> is_datetime64_dtype(np.array([], dtype=int))
+    False
+    >>> is_datetime64_dtype(np.array([], dtype=np.datetime64))
+    True
+    >>> is_datetime64_dtype([1, 2, 3])
+    False
+    """
+    if isinstance(arr_or_dtype, np.dtype):
+        # GH#33400 fastpath for dtype object
+        return arr_or_dtype.kind == "M"
+    return _is_dtype_type(arr_or_dtype, classes(np.datetime64))
+
+
+def is_datetime64tz_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether an array-like or dtype is of a DatetimeTZDtype dtype.
+
+    .. deprecated:: 2.1.0
+        Use isinstance(dtype, pd.DatetimeTZDtype) instead.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like or dtype is of a DatetimeTZDtype dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_datetime64tz_dtype
+    >>> is_datetime64tz_dtype(object)
+    False
+    >>> is_datetime64tz_dtype([1, 2, 3])
+    False
+    >>> is_datetime64tz_dtype(pd.DatetimeIndex([1, 2, 3]))  # tz-naive
+    False
+    >>> is_datetime64tz_dtype(pd.DatetimeIndex([1, 2, 3], tz="US/Eastern"))
+    True
+
+    >>> from pandas.core.dtypes.dtypes import DatetimeTZDtype
+    >>> dtype = DatetimeTZDtype("ns", tz="US/Eastern")
+    >>> s = pd.Series([], dtype=dtype)
+    >>> is_datetime64tz_dtype(dtype)
+    True
+    >>> is_datetime64tz_dtype(s)
+    True
+    """
+    # GH#52607
+    warnings.warn(
+        "is_datetime64tz_dtype is deprecated and will be removed in a future "
+        "version. Check `isinstance(dtype, pd.DatetimeTZDtype)` instead.",
+        DeprecationWarning,
+        stacklevel=2,
+    )
+    if isinstance(arr_or_dtype, DatetimeTZDtype):
+        # GH#33400 fastpath for dtype object
+        # GH 34986
+        return True
+
+    if arr_or_dtype is None:
+        return False
+    return DatetimeTZDtype.is_dtype(arr_or_dtype)
+
+
+def is_timedelta64_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether an array-like or dtype is of the timedelta64 dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like or dtype is of the timedelta64 dtype.
+
+    Examples
+    --------
+    >>> from pandas.core.dtypes.common import is_timedelta64_dtype
+    >>> is_timedelta64_dtype(object)
+    False
+    >>> is_timedelta64_dtype(np.timedelta64)
+    True
+    >>> is_timedelta64_dtype([1, 2, 3])
+    False
+    >>> is_timedelta64_dtype(pd.Series([], dtype="timedelta64[ns]"))
+    True
+    >>> is_timedelta64_dtype('0 days')
+    False
+    """
+    if isinstance(arr_or_dtype, np.dtype):
+        # GH#33400 fastpath for dtype object
+        return arr_or_dtype.kind == "m"
+
+    return _is_dtype_type(arr_or_dtype, classes(np.timedelta64))
+
+
+def is_period_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether an array-like or dtype is of the Period dtype.
+
+    .. deprecated:: 2.2.0
+        Use isinstance(dtype, pd.Period) instead.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like or dtype is of the Period dtype.
+
+    Examples
+    --------
+    >>> from pandas.core.dtypes.common import is_period_dtype
+    >>> is_period_dtype(object)
+    False
+    >>> is_period_dtype(pd.PeriodDtype(freq="D"))
+    True
+    >>> is_period_dtype([1, 2, 3])
+    False
+    >>> is_period_dtype(pd.Period("2017-01-01"))
+    False
+    >>> is_period_dtype(pd.PeriodIndex([], freq="Y"))
+    True
+    """
+    warnings.warn(
+        "is_period_dtype is deprecated and will be removed in a future version. "
+        "Use `isinstance(dtype, pd.PeriodDtype)` instead",
+        DeprecationWarning,
+        stacklevel=2,
+    )
+    if isinstance(arr_or_dtype, ExtensionDtype):
+        # GH#33400 fastpath for dtype object
+        return arr_or_dtype.type is Period
+
+    if arr_or_dtype is None:
+        return False
+    return PeriodDtype.is_dtype(arr_or_dtype)
+
+
+def is_interval_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether an array-like or dtype is of the Interval dtype.
+
+    .. deprecated:: 2.2.0
+        Use isinstance(dtype, pd.IntervalDtype) instead.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like or dtype is of the Interval dtype.
+
+    Examples
+    --------
+    >>> from pandas.core.dtypes.common import is_interval_dtype
+    >>> is_interval_dtype(object)
+    False
+    >>> is_interval_dtype(pd.IntervalDtype())
+    True
+    >>> is_interval_dtype([1, 2, 3])
+    False
+    >>>
+    >>> interval = pd.Interval(1, 2, closed="right")
+    >>> is_interval_dtype(interval)
+    False
+    >>> is_interval_dtype(pd.IntervalIndex([interval]))
+    True
+    """
+    # GH#52607
+    warnings.warn(
+        "is_interval_dtype is deprecated and will be removed in a future version. "
+        "Use `isinstance(dtype, pd.IntervalDtype)` instead",
+        DeprecationWarning,
+        stacklevel=2,
+    )
+    if isinstance(arr_or_dtype, ExtensionDtype):
+        # GH#33400 fastpath for dtype object
+        return arr_or_dtype.type is Interval
+
+    if arr_or_dtype is None:
+        return False
+    return IntervalDtype.is_dtype(arr_or_dtype)
+
+
+def is_categorical_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether an array-like or dtype is of the Categorical dtype.
+
+    .. deprecated:: 2.2.0
+        Use isinstance(dtype, pd.CategoricalDtype) instead.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array-like or dtype is of the Categorical dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_categorical_dtype
+    >>> from pandas import CategoricalDtype
+    >>> is_categorical_dtype(object)
+    False
+    >>> is_categorical_dtype(CategoricalDtype())
+    True
+    >>> is_categorical_dtype([1, 2, 3])
+    False
+    >>> is_categorical_dtype(pd.Categorical([1, 2, 3]))
+    True
+    >>> is_categorical_dtype(pd.CategoricalIndex([1, 2, 3]))
+    True
+    """
+    # GH#52527
+    warnings.warn(
+        "is_categorical_dtype is deprecated and will be removed in a future "
+        "version. Use isinstance(dtype, pd.CategoricalDtype) instead",
+        DeprecationWarning,
+        stacklevel=2,
+    )
+    if isinstance(arr_or_dtype, ExtensionDtype):
+        # GH#33400 fastpath for dtype object
+        return arr_or_dtype.name == "category"
+
+    if arr_or_dtype is None:
+        return False
+    return CategoricalDtype.is_dtype(arr_or_dtype)
+
+
+def is_string_or_object_np_dtype(dtype: np.dtype) -> bool:
+    """
+    Faster alternative to is_string_dtype, assumes we have a np.dtype object.
+    """
+    return dtype == object or dtype.kind in "SU"
+
+
+def is_string_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of the string dtype.
+
+    If an array is passed with an object dtype, the elements must be
+    inferred as strings.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of the string dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_string_dtype
+    >>> is_string_dtype(str)
+    True
+    >>> is_string_dtype(object)
+    True
+    >>> is_string_dtype(int)
+    False
+    >>> is_string_dtype(np.array(['a', 'b']))
+    True
+    >>> is_string_dtype(pd.Series([1, 2]))
+    False
+    >>> is_string_dtype(pd.Series([1, 2], dtype=object))
+    False
+    """
+    if hasattr(arr_or_dtype, "dtype") and _get_dtype(arr_or_dtype).kind == "O":
+        return is_all_strings(arr_or_dtype)
+
+    def condition(dtype) -> bool:
+        if is_string_or_object_np_dtype(dtype):
+            return True
+        try:
+            return dtype == "string"
+        except TypeError:
+            return False
+
+    return _is_dtype(arr_or_dtype, condition)
+
+
+def is_dtype_equal(source, target) -> bool:
+    """
+    Check if two dtypes are equal.
+
+    Parameters
+    ----------
+    source : The first dtype to compare
+    target : The second dtype to compare
+
+    Returns
+    -------
+    boolean
+        Whether or not the two dtypes are equal.
+
+    Examples
+    --------
+    >>> is_dtype_equal(int, float)
+    False
+    >>> is_dtype_equal("int", int)
+    True
+    >>> is_dtype_equal(object, "category")
+    False
+    >>> is_dtype_equal(CategoricalDtype(), "category")
+    True
+    >>> is_dtype_equal(DatetimeTZDtype(tz="UTC"), "datetime64")
+    False
+    """
+    if isinstance(target, str):
+        if not isinstance(source, str):
+            # GH#38516 ensure we get the same behavior from
+            #  is_dtype_equal(CDT, "category") and CDT == "category"
+            try:
+                src = _get_dtype(source)
+                if isinstance(src, ExtensionDtype):
+                    return src == target
+            except (TypeError, AttributeError, ImportError):
+                return False
+    elif isinstance(source, str):
+        return is_dtype_equal(target, source)
+
+    try:
+        source = _get_dtype(source)
+        target = _get_dtype(target)
+        return source == target
+    except (TypeError, AttributeError, ImportError):
+        # invalid comparison
+        # object == category will hit this
+        return False
+
+
+def is_integer_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of an integer dtype.
+
+    Unlike in `is_any_int_dtype`, timedelta64 instances will return False.
+
+    The nullable Integer dtypes (e.g. pandas.Int64Dtype) are also considered
+    as integer by this function.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of an integer dtype and
+        not an instance of timedelta64.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_integer_dtype
+    >>> is_integer_dtype(str)
+    False
+    >>> is_integer_dtype(int)
+    True
+    >>> is_integer_dtype(float)
+    False
+    >>> is_integer_dtype(np.uint64)
+    True
+    >>> is_integer_dtype('int8')
+    True
+    >>> is_integer_dtype('Int8')
+    True
+    >>> is_integer_dtype(pd.Int8Dtype)
+    True
+    >>> is_integer_dtype(np.datetime64)
+    False
+    >>> is_integer_dtype(np.timedelta64)
+    False
+    >>> is_integer_dtype(np.array(['a', 'b']))
+    False
+    >>> is_integer_dtype(pd.Series([1, 2]))
+    True
+    >>> is_integer_dtype(np.array([], dtype=np.timedelta64))
+    False
+    >>> is_integer_dtype(pd.Index([1, 2.]))  # float
+    False
+    """
+    return _is_dtype_type(
+        arr_or_dtype, _classes_and_not_datetimelike(np.integer)
+    ) or _is_dtype(
+        arr_or_dtype, lambda typ: isinstance(typ, ExtensionDtype) and typ.kind in "iu"
+    )
+
+
+def is_signed_integer_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of a signed integer dtype.
+
+    Unlike in `is_any_int_dtype`, timedelta64 instances will return False.
+
+    The nullable Integer dtypes (e.g. pandas.Int64Dtype) are also considered
+    as integer by this function.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of a signed integer dtype
+        and not an instance of timedelta64.
+
+    Examples
+    --------
+    >>> from pandas.core.dtypes.common import is_signed_integer_dtype
+    >>> is_signed_integer_dtype(str)
+    False
+    >>> is_signed_integer_dtype(int)
+    True
+    >>> is_signed_integer_dtype(float)
+    False
+    >>> is_signed_integer_dtype(np.uint64)  # unsigned
+    False
+    >>> is_signed_integer_dtype('int8')
+    True
+    >>> is_signed_integer_dtype('Int8')
+    True
+    >>> is_signed_integer_dtype(pd.Int8Dtype)
+    True
+    >>> is_signed_integer_dtype(np.datetime64)
+    False
+    >>> is_signed_integer_dtype(np.timedelta64)
+    False
+    >>> is_signed_integer_dtype(np.array(['a', 'b']))
+    False
+    >>> is_signed_integer_dtype(pd.Series([1, 2]))
+    True
+    >>> is_signed_integer_dtype(np.array([], dtype=np.timedelta64))
+    False
+    >>> is_signed_integer_dtype(pd.Index([1, 2.]))  # float
+    False
+    >>> is_signed_integer_dtype(np.array([1, 2], dtype=np.uint32))  # unsigned
+    False
+    """
+    return _is_dtype_type(
+        arr_or_dtype, _classes_and_not_datetimelike(np.signedinteger)
+    ) or _is_dtype(
+        arr_or_dtype, lambda typ: isinstance(typ, ExtensionDtype) and typ.kind == "i"
+    )
+
+
+def is_unsigned_integer_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of an unsigned integer dtype.
+
+    The nullable Integer dtypes (e.g. pandas.UInt64Dtype) are also
+    considered as integer by this function.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of an unsigned integer dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_unsigned_integer_dtype
+    >>> is_unsigned_integer_dtype(str)
+    False
+    >>> is_unsigned_integer_dtype(int)  # signed
+    False
+    >>> is_unsigned_integer_dtype(float)
+    False
+    >>> is_unsigned_integer_dtype(np.uint64)
+    True
+    >>> is_unsigned_integer_dtype('uint8')
+    True
+    >>> is_unsigned_integer_dtype('UInt8')
+    True
+    >>> is_unsigned_integer_dtype(pd.UInt8Dtype)
+    True
+    >>> is_unsigned_integer_dtype(np.array(['a', 'b']))
+    False
+    >>> is_unsigned_integer_dtype(pd.Series([1, 2]))  # signed
+    False
+    >>> is_unsigned_integer_dtype(pd.Index([1, 2.]))  # float
+    False
+    >>> is_unsigned_integer_dtype(np.array([1, 2], dtype=np.uint32))
+    True
+    """
+    return _is_dtype_type(
+        arr_or_dtype, _classes_and_not_datetimelike(np.unsignedinteger)
+    ) or _is_dtype(
+        arr_or_dtype, lambda typ: isinstance(typ, ExtensionDtype) and typ.kind == "u"
+    )
+
+
+def is_int64_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of the int64 dtype.
+
+    .. deprecated:: 2.1.0
+
+       is_int64_dtype is deprecated and will be removed in a future
+       version. Use dtype == np.int64 instead.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of the int64 dtype.
+
+    Notes
+    -----
+    Depending on system architecture, the return value of `is_int64_dtype(
+    int)` will be True if the OS uses 64-bit integers and False if the OS
+    uses 32-bit integers.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_int64_dtype
+    >>> is_int64_dtype(str)  # doctest: +SKIP
+    False
+    >>> is_int64_dtype(np.int32)  # doctest: +SKIP
+    False
+    >>> is_int64_dtype(np.int64)  # doctest: +SKIP
+    True
+    >>> is_int64_dtype('int8')  # doctest: +SKIP
+    False
+    >>> is_int64_dtype('Int8')  # doctest: +SKIP
+    False
+    >>> is_int64_dtype(pd.Int64Dtype)  # doctest: +SKIP
+    True
+    >>> is_int64_dtype(float)  # doctest: +SKIP
+    False
+    >>> is_int64_dtype(np.uint64)  # unsigned  # doctest: +SKIP
+    False
+    >>> is_int64_dtype(np.array(['a', 'b']))  # doctest: +SKIP
+    False
+    >>> is_int64_dtype(np.array([1, 2], dtype=np.int64))  # doctest: +SKIP
+    True
+    >>> is_int64_dtype(pd.Index([1, 2.]))  # float  # doctest: +SKIP
+    False
+    >>> is_int64_dtype(np.array([1, 2], dtype=np.uint32))  # unsigned  # doctest: +SKIP
+    False
+    """
+    # GH#52564
+    warnings.warn(
+        "is_int64_dtype is deprecated and will be removed in a future "
+        "version. Use dtype == np.int64 instead.",
+        DeprecationWarning,
+        stacklevel=2,
+    )
+    return _is_dtype_type(arr_or_dtype, classes(np.int64))
+
+
+def is_datetime64_any_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of the datetime64 dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    bool
+        Whether or not the array or dtype is of the datetime64 dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_datetime64_any_dtype
+    >>> from pandas.core.dtypes.dtypes import DatetimeTZDtype
+    >>> is_datetime64_any_dtype(str)
+    False
+    >>> is_datetime64_any_dtype(int)
+    False
+    >>> is_datetime64_any_dtype(np.datetime64)  # can be tz-naive
+    True
+    >>> is_datetime64_any_dtype(DatetimeTZDtype("ns", "US/Eastern"))
+    True
+    >>> is_datetime64_any_dtype(np.array(['a', 'b']))
+    False
+    >>> is_datetime64_any_dtype(np.array([1, 2]))
+    False
+    >>> is_datetime64_any_dtype(np.array([], dtype="datetime64[ns]"))
+    True
+    >>> is_datetime64_any_dtype(pd.DatetimeIndex([1, 2, 3], dtype="datetime64[ns]"))
+    True
+    """
+    if isinstance(arr_or_dtype, (np.dtype, ExtensionDtype)):
+        # GH#33400 fastpath for dtype object
+        return arr_or_dtype.kind == "M"
+
+    if arr_or_dtype is None:
+        return False
+
+    try:
+        tipo = _get_dtype(arr_or_dtype)
+    except TypeError:
+        return False
+    return lib.is_np_dtype(tipo, "M") or isinstance(tipo, DatetimeTZDtype)
+
+
+def is_datetime64_ns_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of the datetime64[ns] dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    bool
+        Whether or not the array or dtype is of the datetime64[ns] dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_datetime64_ns_dtype
+    >>> from pandas.core.dtypes.dtypes import DatetimeTZDtype
+    >>> is_datetime64_ns_dtype(str)
+    False
+    >>> is_datetime64_ns_dtype(int)
+    False
+    >>> is_datetime64_ns_dtype(np.datetime64)  # no unit
+    False
+    >>> is_datetime64_ns_dtype(DatetimeTZDtype("ns", "US/Eastern"))
+    True
+    >>> is_datetime64_ns_dtype(np.array(['a', 'b']))
+    False
+    >>> is_datetime64_ns_dtype(np.array([1, 2]))
+    False
+    >>> is_datetime64_ns_dtype(np.array([], dtype="datetime64"))  # no unit
+    False
+    >>> is_datetime64_ns_dtype(np.array([], dtype="datetime64[ps]"))  # wrong unit
+    False
+    >>> is_datetime64_ns_dtype(pd.DatetimeIndex([1, 2, 3], dtype="datetime64[ns]"))
+    True
+    """
+    if arr_or_dtype is None:
+        return False
+    try:
+        tipo = _get_dtype(arr_or_dtype)
+    except TypeError:
+        return False
+    return tipo == DT64NS_DTYPE or (
+        isinstance(tipo, DatetimeTZDtype) and tipo.unit == "ns"
+    )
+
+
+def is_timedelta64_ns_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of the timedelta64[ns] dtype.
+
+    This is a very specific dtype, so generic ones like `np.timedelta64`
+    will return False if passed into this function.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of the timedelta64[ns] dtype.
+
+    Examples
+    --------
+    >>> from pandas.core.dtypes.common import is_timedelta64_ns_dtype
+    >>> is_timedelta64_ns_dtype(np.dtype('m8[ns]'))
+    True
+    >>> is_timedelta64_ns_dtype(np.dtype('m8[ps]'))  # Wrong frequency
+    False
+    >>> is_timedelta64_ns_dtype(np.array([1, 2], dtype='m8[ns]'))
+    True
+    >>> is_timedelta64_ns_dtype(np.array([1, 2], dtype=np.timedelta64))
+    False
+    """
+    return _is_dtype(arr_or_dtype, lambda dtype: dtype == TD64NS_DTYPE)
+
+
+# This exists to silence numpy deprecation warnings, see GH#29553
+def is_numeric_v_string_like(a: ArrayLike, b) -> bool:
+    """
+    Check if we are comparing a string-like object to a numeric ndarray.
+    NumPy doesn't like to compare such objects, especially numeric arrays
+    and scalar string-likes.
+
+    Parameters
+    ----------
+    a : array-like, scalar
+        The first object to check.
+    b : array-like, scalar
+        The second object to check.
+
+    Returns
+    -------
+    boolean
+        Whether we return a comparing a string-like object to a numeric array.
+
+    Examples
+    --------
+    >>> is_numeric_v_string_like(np.array([1]), "foo")
+    True
+    >>> is_numeric_v_string_like(np.array([1, 2]), np.array(["foo"]))
+    True
+    >>> is_numeric_v_string_like(np.array(["foo"]), np.array([1, 2]))
+    True
+    >>> is_numeric_v_string_like(np.array([1]), np.array([2]))
+    False
+    >>> is_numeric_v_string_like(np.array(["foo"]), np.array(["foo"]))
+    False
+    """
+    is_a_array = isinstance(a, np.ndarray)
+    is_b_array = isinstance(b, np.ndarray)
+
+    is_a_numeric_array = is_a_array and a.dtype.kind in ("u", "i", "f", "c", "b")
+    is_b_numeric_array = is_b_array and b.dtype.kind in ("u", "i", "f", "c", "b")
+    is_a_string_array = is_a_array and a.dtype.kind in ("S", "U")
+    is_b_string_array = is_b_array and b.dtype.kind in ("S", "U")
+
+    is_b_scalar_string_like = not is_b_array and isinstance(b, str)
+
+    return (
+        (is_a_numeric_array and is_b_scalar_string_like)
+        or (is_a_numeric_array and is_b_string_array)
+        or (is_b_numeric_array and is_a_string_array)
+    )
+
+
+def needs_i8_conversion(dtype: DtypeObj | None) -> bool:
+    """
+    Check whether the dtype should be converted to int64.
+
+    Dtype "needs" such a conversion if the dtype is of a datetime-like dtype
+
+    Parameters
+    ----------
+    dtype : np.dtype, ExtensionDtype, or None
+
+    Returns
+    -------
+    boolean
+        Whether or not the dtype should be converted to int64.
+
+    Examples
+    --------
+    >>> needs_i8_conversion(str)
+    False
+    >>> needs_i8_conversion(np.int64)
+    False
+    >>> needs_i8_conversion(np.datetime64)
+    False
+    >>> needs_i8_conversion(np.dtype(np.datetime64))
+    True
+    >>> needs_i8_conversion(np.array(['a', 'b']))
+    False
+    >>> needs_i8_conversion(pd.Series([1, 2]))
+    False
+    >>> needs_i8_conversion(pd.Series([], dtype="timedelta64[ns]"))
+    False
+    >>> needs_i8_conversion(pd.DatetimeIndex([1, 2, 3], tz="US/Eastern"))
+    False
+    >>> needs_i8_conversion(pd.DatetimeIndex([1, 2, 3], tz="US/Eastern").dtype)
+    True
+    """
+    if isinstance(dtype, np.dtype):
+        return dtype.kind in "mM"
+    return isinstance(dtype, (PeriodDtype, DatetimeTZDtype))
+
+
+def is_numeric_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of a numeric dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of a numeric dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_numeric_dtype
+    >>> is_numeric_dtype(str)
+    False
+    >>> is_numeric_dtype(int)
+    True
+    >>> is_numeric_dtype(float)
+    True
+    >>> is_numeric_dtype(np.uint64)
+    True
+    >>> is_numeric_dtype(np.datetime64)
+    False
+    >>> is_numeric_dtype(np.timedelta64)
+    False
+    >>> is_numeric_dtype(np.array(['a', 'b']))
+    False
+    >>> is_numeric_dtype(pd.Series([1, 2]))
+    True
+    >>> is_numeric_dtype(pd.Index([1, 2.]))
+    True
+    >>> is_numeric_dtype(np.array([], dtype=np.timedelta64))
+    False
+    """
+    return _is_dtype_type(
+        arr_or_dtype, _classes_and_not_datetimelike(np.number, np.bool_)
+    ) or _is_dtype(
+        arr_or_dtype, lambda typ: isinstance(typ, ExtensionDtype) and typ._is_numeric
+    )
+
+
+def is_any_real_numeric_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of a real number dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of a real number dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_any_real_numeric_dtype
+    >>> is_any_real_numeric_dtype(int)
+    True
+    >>> is_any_real_numeric_dtype(float)
+    True
+    >>> is_any_real_numeric_dtype(object)
+    False
+    >>> is_any_real_numeric_dtype(str)
+    False
+    >>> is_any_real_numeric_dtype(complex(1, 2))
+    False
+    >>> is_any_real_numeric_dtype(bool)
+    False
+    """
+    return (
+        is_numeric_dtype(arr_or_dtype)
+        and not is_complex_dtype(arr_or_dtype)
+        and not is_bool_dtype(arr_or_dtype)
+    )
+
+
+def is_float_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of a float dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of a float dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_float_dtype
+    >>> is_float_dtype(str)
+    False
+    >>> is_float_dtype(int)
+    False
+    >>> is_float_dtype(float)
+    True
+    >>> is_float_dtype(np.array(['a', 'b']))
+    False
+    >>> is_float_dtype(pd.Series([1, 2]))
+    False
+    >>> is_float_dtype(pd.Index([1, 2.]))
+    True
+    """
+    return _is_dtype_type(arr_or_dtype, classes(np.floating)) or _is_dtype(
+        arr_or_dtype, lambda typ: isinstance(typ, ExtensionDtype) and typ.kind in "f"
+    )
+
+
+def is_bool_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of a boolean dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of a boolean dtype.
+
+    Notes
+    -----
+    An ExtensionArray is considered boolean when the ``_is_boolean``
+    attribute is set to True.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_bool_dtype
+    >>> is_bool_dtype(str)
+    False
+    >>> is_bool_dtype(int)
+    False
+    >>> is_bool_dtype(bool)
+    True
+    >>> is_bool_dtype(np.bool_)
+    True
+    >>> is_bool_dtype(np.array(['a', 'b']))
+    False
+    >>> is_bool_dtype(pd.Series([1, 2]))
+    False
+    >>> is_bool_dtype(np.array([True, False]))
+    True
+    >>> is_bool_dtype(pd.Categorical([True, False]))
+    True
+    >>> is_bool_dtype(pd.arrays.SparseArray([True, False]))
+    True
+    """
+    if arr_or_dtype is None:
+        return False
+    try:
+        dtype = _get_dtype(arr_or_dtype)
+    except (TypeError, ValueError):
+        return False
+
+    if isinstance(dtype, CategoricalDtype):
+        arr_or_dtype = dtype.categories
+        # now we use the special definition for Index
+
+    if isinstance(arr_or_dtype, ABCIndex):
+        # Allow Index[object] that is all-bools or Index["boolean"]
+        if arr_or_dtype.inferred_type == "boolean":
+            if not is_bool_dtype(arr_or_dtype.dtype):
+                # GH#52680
+                warnings.warn(
+                    "The behavior of is_bool_dtype with an object-dtype Index "
+                    "of bool objects is deprecated. In a future version, "
+                    "this will return False. Cast the Index to a bool dtype instead.",
+                    DeprecationWarning,
+                    stacklevel=2,
+                )
+            return True
+        return False
+    elif isinstance(dtype, ExtensionDtype):
+        return getattr(dtype, "_is_boolean", False)
+
+    return issubclass(dtype.type, np.bool_)
+
+
+def is_1d_only_ea_dtype(dtype: DtypeObj | None) -> bool:
+    """
+    Analogue to is_extension_array_dtype but excluding DatetimeTZDtype.
+    """
+    return isinstance(dtype, ExtensionDtype) and not dtype._supports_2d
+
+
+def is_extension_array_dtype(arr_or_dtype) -> bool:
+    """
+    Check if an object is a pandas extension array type.
+
+    See the :ref:`Use Guide <extending.extension-types>` for more.
+
+    Parameters
+    ----------
+    arr_or_dtype : object
+        For array-like input, the ``.dtype`` attribute will
+        be extracted.
+
+    Returns
+    -------
+    bool
+        Whether the `arr_or_dtype` is an extension array type.
+
+    Notes
+    -----
+    This checks whether an object implements the pandas extension
+    array interface. In pandas, this includes:
+
+    * Categorical
+    * Sparse
+    * Interval
+    * Period
+    * DatetimeArray
+    * TimedeltaArray
+
+    Third-party libraries may implement arrays or types satisfying
+    this interface as well.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_extension_array_dtype
+    >>> arr = pd.Categorical(['a', 'b'])
+    >>> is_extension_array_dtype(arr)
+    True
+    >>> is_extension_array_dtype(arr.dtype)
+    True
+
+    >>> arr = np.array(['a', 'b'])
+    >>> is_extension_array_dtype(arr.dtype)
+    False
+    """
+    dtype = getattr(arr_or_dtype, "dtype", arr_or_dtype)
+    if isinstance(dtype, ExtensionDtype):
+        return True
+    elif isinstance(dtype, np.dtype):
+        return False
+    else:
+        return registry.find(dtype) is not None
+
+
+def is_ea_or_datetimelike_dtype(dtype: DtypeObj | None) -> bool:
+    """
+    Check for ExtensionDtype, datetime64 dtype, or timedelta64 dtype.
+
+    Notes
+    -----
+    Checks only for dtype objects, not dtype-castable strings or types.
+    """
+    return isinstance(dtype, ExtensionDtype) or (lib.is_np_dtype(dtype, "mM"))
+
+
+def is_complex_dtype(arr_or_dtype) -> bool:
+    """
+    Check whether the provided array or dtype is of a complex dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array or dtype to check.
+
+    Returns
+    -------
+    boolean
+        Whether or not the array or dtype is of a complex dtype.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_complex_dtype
+    >>> is_complex_dtype(str)
+    False
+    >>> is_complex_dtype(int)
+    False
+    >>> is_complex_dtype(np.complex128)
+    True
+    >>> is_complex_dtype(np.array(['a', 'b']))
+    False
+    >>> is_complex_dtype(pd.Series([1, 2]))
+    False
+    >>> is_complex_dtype(np.array([1 + 1j, 5]))
+    True
+    """
+    return _is_dtype_type(arr_or_dtype, classes(np.complexfloating))
+
+
+def _is_dtype(arr_or_dtype, condition) -> bool:
+    """
+    Return true if the condition is satisfied for the arr_or_dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like, str, np.dtype, or ExtensionArrayType
+        The array-like or dtype object whose dtype we want to extract.
+    condition : callable[Union[np.dtype, ExtensionDtype]]
+
+    Returns
+    -------
+    bool
+
+    """
+    if arr_or_dtype is None:
+        return False
+    try:
+        dtype = _get_dtype(arr_or_dtype)
+    except (TypeError, ValueError):
+        return False
+    return condition(dtype)
+
+
+def _get_dtype(arr_or_dtype) -> DtypeObj:
+    """
+    Get the dtype instance associated with an array
+    or dtype object.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype object whose dtype we want to extract.
+
+    Returns
+    -------
+    obj_dtype : The extract dtype instance from the
+                passed in array or dtype object.
+
+    Raises
+    ------
+    TypeError : The passed in object is None.
+    """
+    if arr_or_dtype is None:
+        raise TypeError("Cannot deduce dtype from null object")
+
+    # fastpath
+    if isinstance(arr_or_dtype, np.dtype):
+        return arr_or_dtype
+    elif isinstance(arr_or_dtype, type):
+        return np.dtype(arr_or_dtype)
+
+    # if we have an array-like
+    elif hasattr(arr_or_dtype, "dtype"):
+        arr_or_dtype = arr_or_dtype.dtype
+
+    return pandas_dtype(arr_or_dtype)
+
+
+def _is_dtype_type(arr_or_dtype, condition) -> bool:
+    """
+    Return true if the condition is satisfied for the arr_or_dtype.
+
+    Parameters
+    ----------
+    arr_or_dtype : array-like or dtype
+        The array-like or dtype object whose dtype we want to extract.
+    condition : callable[Union[np.dtype, ExtensionDtypeType]]
+
+    Returns
+    -------
+    bool : if the condition is satisfied for the arr_or_dtype
+    """
+    if arr_or_dtype is None:
+        return condition(type(None))
+
+    # fastpath
+    if isinstance(arr_or_dtype, np.dtype):
+        return condition(arr_or_dtype.type)
+    elif isinstance(arr_or_dtype, type):
+        if issubclass(arr_or_dtype, ExtensionDtype):
+            arr_or_dtype = arr_or_dtype.type
+        return condition(np.dtype(arr_or_dtype).type)
+
+    # if we have an array-like
+    if hasattr(arr_or_dtype, "dtype"):
+        arr_or_dtype = arr_or_dtype.dtype
+
+    # we are not possibly a dtype
+    elif is_list_like(arr_or_dtype):
+        return condition(type(None))
+
+    try:
+        tipo = pandas_dtype(arr_or_dtype).type
+    except (TypeError, ValueError):
+        if is_scalar(arr_or_dtype):
+            return condition(type(None))
+
+        return False
+
+    return condition(tipo)
+
+
+def infer_dtype_from_object(dtype) -> type:
+    """
+    Get a numpy dtype.type-style object for a dtype object.
+
+    This methods also includes handling of the datetime64[ns] and
+    datetime64[ns, TZ] objects.
+
+    If no dtype can be found, we return ``object``.
+
+    Parameters
+    ----------
+    dtype : dtype, type
+        The dtype object whose numpy dtype.type-style
+        object we want to extract.
+
+    Returns
+    -------
+    type
+    """
+    if isinstance(dtype, type) and issubclass(dtype, np.generic):
+        # Type object from a dtype
+
+        return dtype
+    elif isinstance(dtype, (np.dtype, ExtensionDtype)):
+        # dtype object
+        try:
+            _validate_date_like_dtype(dtype)
+        except TypeError:
+            # Should still pass if we don't have a date-like
+            pass
+        if hasattr(dtype, "numpy_dtype"):
+            # TODO: Implement this properly
+            # https://github.com/pandas-dev/pandas/issues/52576
+            return dtype.numpy_dtype.type
+        return dtype.type
+
+    try:
+        dtype = pandas_dtype(dtype)
+    except TypeError:
+        pass
+
+    if isinstance(dtype, ExtensionDtype):
+        return dtype.type
+    elif isinstance(dtype, str):
+        # TODO(jreback)
+        # should deprecate these
+        if dtype in ["datetimetz", "datetime64tz"]:
+            return DatetimeTZDtype.type
+        elif dtype in ["period"]:
+            raise NotImplementedError
+
+        if dtype in ["datetime", "timedelta"]:
+            dtype += "64"
+        try:
+            return infer_dtype_from_object(getattr(np, dtype))
+        except (AttributeError, TypeError):
+            # Handles cases like _get_dtype(int) i.e.,
+            # Python objects that are valid dtypes
+            # (unlike user-defined types, in general)
+            #
+            # TypeError handles the float16 type code of 'e'
+            # further handle internal types
+            pass
+
+    return infer_dtype_from_object(np.dtype(dtype))
+
+
+def _validate_date_like_dtype(dtype) -> None:
+    """
+    Check whether the dtype is a date-like dtype. Raises an error if invalid.
+
+    Parameters
+    ----------
+    dtype : dtype, type
+        The dtype to check.
+
+    Raises
+    ------
+    TypeError : The dtype could not be casted to a date-like dtype.
+    ValueError : The dtype is an illegal date-like dtype (e.g. the
+                 frequency provided is too specific)
+    """
+    try:
+        typ = np.datetime_data(dtype)[0]
+    except ValueError as e:
+        raise TypeError(e) from e
+    if typ not in ["generic", "ns"]:
+        raise ValueError(
+            f"{repr(dtype.name)} is too specific of a frequency, "
+            f"try passing {repr(dtype.type.__name__)}"
+        )
+
+
+def validate_all_hashable(*args, error_name: str | None = None) -> None:
+    """
+    Return None if all args are hashable, else raise a TypeError.
+
+    Parameters
+    ----------
+    *args
+        Arguments to validate.
+    error_name : str, optional
+        The name to use if error
+
+    Raises
+    ------
+    TypeError : If an argument is not hashable
+
+    Returns
+    -------
+    None
+    """
+    if not all(is_hashable(arg) for arg in args):
+        if error_name:
+            raise TypeError(f"{error_name} must be a hashable type")
+        raise TypeError("All elements must be hashable")
+
+
+def pandas_dtype(dtype) -> DtypeObj:
+    """
+    Convert input into a pandas only dtype object or a numpy dtype object.
+
+    Parameters
+    ----------
+    dtype : object to be converted
+
+    Returns
+    -------
+    np.dtype or a pandas dtype
+
+    Raises
+    ------
+    TypeError if not a dtype
+
+    Examples
+    --------
+    >>> pd.api.types.pandas_dtype(int)
+    dtype('int64')
+    """
+    # short-circuit
+    if isinstance(dtype, np.ndarray):
+        return dtype.dtype
+    elif isinstance(dtype, (np.dtype, ExtensionDtype)):
+        return dtype
+
+    # registered extension types
+    result = registry.find(dtype)
+    if result is not None:
+        if isinstance(result, type):
+            # GH 31356, GH 54592
+            warnings.warn(
+                f"Instantiating {result.__name__} without any arguments."
+                f"Pass a {result.__name__} instance to silence this warning.",
+                UserWarning,
+                stacklevel=find_stack_level(),
+            )
+            result = result()
+        return result
+
+    # try a numpy dtype
+    # raise a consistent TypeError if failed
+    try:
+        with warnings.catch_warnings():
+            # GH#51523 - Series.astype(np.integer) doesn't show
+            # numpy deprecation warning of np.integer
+            # Hence enabling DeprecationWarning
+            warnings.simplefilter("always", DeprecationWarning)
+            npdtype = np.dtype(dtype)
+    except SyntaxError as err:
+        # np.dtype uses `eval` which can raise SyntaxError
+        raise TypeError(f"data type '{dtype}' not understood") from err
+
+    # Any invalid dtype (such as pd.Timestamp) should raise an error.
+    # np.dtype(invalid_type).kind = 0 for such objects. However, this will
+    # also catch some valid dtypes such as object, np.object_ and 'object'
+    # which we safeguard against by catching them earlier and returning
+    # np.dtype(valid_dtype) before this condition is evaluated.
+    if is_hashable(dtype) and dtype in [
+        object,
+        np.object_,
+        "object",
+        "O",
+        "object_",
+    ]:
+        # check hashability to avoid errors/DeprecationWarning when we get
+        # here and `dtype` is an array
+        return npdtype
+    elif npdtype.kind == "O":
+        raise TypeError(f"dtype '{dtype}' not understood")
+
+    return npdtype
+
+
+def is_all_strings(value: ArrayLike) -> bool:
+    """
+    Check if this is an array of strings that we should try parsing.
+
+    Includes object-dtype ndarray containing all-strings, StringArray,
+    and Categorical with all-string categories.
+    Does not include numpy string dtypes.
+    """
+    dtype = value.dtype
+
+    if isinstance(dtype, np.dtype):
+        if len(value) == 0:
+            return dtype == np.dtype("object")
+        else:
+            return dtype == np.dtype("object") and lib.is_string_array(
+                np.asarray(value), skipna=False
+            )
+    elif isinstance(dtype, CategoricalDtype):
+        return dtype.categories.inferred_type == "string"
+    return dtype == "string"
+
+
+__all__ = [
+    "classes",
+    "DT64NS_DTYPE",
+    "ensure_float64",
+    "ensure_python_int",
+    "ensure_str",
+    "infer_dtype_from_object",
+    "INT64_DTYPE",
+    "is_1d_only_ea_dtype",
+    "is_all_strings",
+    "is_any_real_numeric_dtype",
+    "is_array_like",
+    "is_bool",
+    "is_bool_dtype",
+    "is_categorical_dtype",
+    "is_complex",
+    "is_complex_dtype",
+    "is_dataclass",
+    "is_datetime64_any_dtype",
+    "is_datetime64_dtype",
+    "is_datetime64_ns_dtype",
+    "is_datetime64tz_dtype",
+    "is_decimal",
+    "is_dict_like",
+    "is_dtype_equal",
+    "is_ea_or_datetimelike_dtype",
+    "is_extension_array_dtype",
+    "is_file_like",
+    "is_float_dtype",
+    "is_int64_dtype",
+    "is_integer_dtype",
+    "is_interval",
+    "is_interval_dtype",
+    "is_iterator",
+    "is_named_tuple",
+    "is_nested_list_like",
+    "is_number",
+    "is_numeric_dtype",
+    "is_object_dtype",
+    "is_period_dtype",
+    "is_re",
+    "is_re_compilable",
+    "is_scipy_sparse",
+    "is_sequence",
+    "is_signed_integer_dtype",
+    "is_sparse",
+    "is_string_dtype",
+    "is_string_or_object_np_dtype",
+    "is_timedelta64_dtype",
+    "is_timedelta64_ns_dtype",
+    "is_unsigned_integer_dtype",
+    "needs_i8_conversion",
+    "pandas_dtype",
+    "TD64NS_DTYPE",
+    "validate_all_hashable",
+]

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/concat.py

@@ -0,0 +1,348 @@
+"""
+Utility functions related to concat.
+"""
+from __future__ import annotations
+
+from typing import (
+    TYPE_CHECKING,
+    cast,
+)
+import warnings
+
+import numpy as np
+
+from pandas._libs import lib
+from pandas.util._exceptions import find_stack_level
+
+from pandas.core.dtypes.astype import astype_array
+from pandas.core.dtypes.cast import (
+    common_dtype_categorical_compat,
+    find_common_type,
+    np_find_common_type,
+)
+from pandas.core.dtypes.dtypes import CategoricalDtype
+from pandas.core.dtypes.generic import (
+    ABCCategoricalIndex,
+    ABCSeries,
+)
+
+if TYPE_CHECKING:
+    from collections.abc import Sequence
+
+    from pandas._typing import (
+        ArrayLike,
+        AxisInt,
+        DtypeObj,
+    )
+
+    from pandas.core.arrays import (
+        Categorical,
+        ExtensionArray,
+    )
+
+
+def _is_nonempty(x, axis) -> bool:
+    # filter empty arrays
+    # 1-d dtypes always are included here
+    if x.ndim <= axis:
+        return True
+    return x.shape[axis] > 0
+
+
+def concat_compat(
+    to_concat: Sequence[ArrayLike], axis: AxisInt = 0, ea_compat_axis: bool = False
+) -> ArrayLike:
+    """
+    provide concatenation of an array of arrays each of which is a single
+    'normalized' dtypes (in that for example, if it's object, then it is a
+    non-datetimelike and provide a combined dtype for the resulting array that
+    preserves the overall dtype if possible)
+
+    Parameters
+    ----------
+    to_concat : sequence of arrays
+    axis : axis to provide concatenation
+    ea_compat_axis : bool, default False
+        For ExtensionArray compat, behave as if axis == 1 when determining
+        whether to drop empty arrays.
+
+    Returns
+    -------
+    a single array, preserving the combined dtypes
+    """
+    if len(to_concat) and lib.dtypes_all_equal([obj.dtype for obj in to_concat]):
+        # fastpath!
+        obj = to_concat[0]
+        if isinstance(obj, np.ndarray):
+            to_concat_arrs = cast("Sequence[np.ndarray]", to_concat)
+            return np.concatenate(to_concat_arrs, axis=axis)
+
+        to_concat_eas = cast("Sequence[ExtensionArray]", to_concat)
+        if ea_compat_axis:
+            # We have 1D objects, that don't support axis keyword
+            return obj._concat_same_type(to_concat_eas)
+        elif axis == 0:
+            return obj._concat_same_type(to_concat_eas)
+        else:
+            # e.g. DatetimeArray
+            # NB: We are assuming here that ensure_wrapped_if_arraylike has
+            #  been called where relevant.
+            return obj._concat_same_type(
+                # error: Unexpected keyword argument "axis" for "_concat_same_type"
+                # of "ExtensionArray"
+                to_concat_eas,
+                axis=axis,  # type: ignore[call-arg]
+            )
+
+    # If all arrays are empty, there's nothing to convert, just short-cut to
+    # the concatenation, #3121.
+    #
+    # Creating an empty array directly is tempting, but the winnings would be
+    # marginal given that it would still require shape & dtype calculation and
+    # np.concatenate which has them both implemented is compiled.
+    orig = to_concat
+    non_empties = [x for x in to_concat if _is_nonempty(x, axis)]
+    if non_empties and axis == 0 and not ea_compat_axis:
+        # ea_compat_axis see GH#39574
+        to_concat = non_empties
+
+    any_ea, kinds, target_dtype = _get_result_dtype(to_concat, non_empties)
+
+    if len(to_concat) < len(orig):
+        _, _, alt_dtype = _get_result_dtype(orig, non_empties)
+        if alt_dtype != target_dtype:
+            # GH#39122
+            warnings.warn(
+                "The behavior of array concatenation with empty entries is "
+                "deprecated. In a future version, this will no longer exclude "
+                "empty items when determining the result dtype. "
+                "To retain the old behavior, exclude the empty entries before "
+                "the concat operation.",
+                FutureWarning,
+                stacklevel=find_stack_level(),
+            )
+
+    if target_dtype is not None:
+        to_concat = [astype_array(arr, target_dtype, copy=False) for arr in to_concat]
+
+    if not isinstance(to_concat[0], np.ndarray):
+        # i.e. isinstance(to_concat[0], ExtensionArray)
+        to_concat_eas = cast("Sequence[ExtensionArray]", to_concat)
+        cls = type(to_concat[0])
+        # GH#53640: eg. for datetime array, axis=1 but 0 is default
+        # However, class method `_concat_same_type()` for some classes
+        # may not support the `axis` keyword
+        if ea_compat_axis or axis == 0:
+            return cls._concat_same_type(to_concat_eas)
+        else:
+            return cls._concat_same_type(
+                to_concat_eas,
+                axis=axis,  # type: ignore[call-arg]
+            )
+    else:
+        to_concat_arrs = cast("Sequence[np.ndarray]", to_concat)
+        result = np.concatenate(to_concat_arrs, axis=axis)
+
+        if not any_ea and "b" in kinds and result.dtype.kind in "iuf":
+            # GH#39817 cast to object instead of casting bools to numeric
+            result = result.astype(object, copy=False)
+    return result
+
+
+def _get_result_dtype(
+    to_concat: Sequence[ArrayLike], non_empties: Sequence[ArrayLike]
+) -> tuple[bool, set[str], DtypeObj | None]:
+    target_dtype = None
+
+    dtypes = {obj.dtype for obj in to_concat}
+    kinds = {obj.dtype.kind for obj in to_concat}
+
+    any_ea = any(not isinstance(x, np.ndarray) for x in to_concat)
+    if any_ea:
+        # i.e. any ExtensionArrays
+
+        # we ignore axis here, as internally concatting with EAs is always
+        # for axis=0
+        if len(dtypes) != 1:
+            target_dtype = find_common_type([x.dtype for x in to_concat])
+            target_dtype = common_dtype_categorical_compat(to_concat, target_dtype)
+
+    elif not len(non_empties):
+        # we have all empties, but may need to coerce the result dtype to
+        # object if we have non-numeric type operands (numpy would otherwise
+        # cast this to float)
+        if len(kinds) != 1:
+            if not len(kinds - {"i", "u", "f"}) or not len(kinds - {"b", "i", "u"}):
+                # let numpy coerce
+                pass
+            else:
+                # coerce to object
+                target_dtype = np.dtype(object)
+                kinds = {"o"}
+    else:
+        # error: Argument 1 to "np_find_common_type" has incompatible type
+        # "*Set[Union[ExtensionDtype, Any]]"; expected "dtype[Any]"
+        target_dtype = np_find_common_type(*dtypes)  # type: ignore[arg-type]
+
+    return any_ea, kinds, target_dtype
+
+
+def union_categoricals(
+    to_union, sort_categories: bool = False, ignore_order: bool = False
+) -> Categorical:
+    """
+    Combine list-like of Categorical-like, unioning categories.
+
+    All categories must have the same dtype.
+
+    Parameters
+    ----------
+    to_union : list-like
+        Categorical, CategoricalIndex, or Series with dtype='category'.
+    sort_categories : bool, default False
+        If true, resulting categories will be lexsorted, otherwise
+        they will be ordered as they appear in the data.
+    ignore_order : bool, default False
+        If true, the ordered attribute of the Categoricals will be ignored.
+        Results in an unordered categorical.
+
+    Returns
+    -------
+    Categorical
+
+    Raises
+    ------
+    TypeError
+        - all inputs do not have the same dtype
+        - all inputs do not have the same ordered property
+        - all inputs are ordered and their categories are not identical
+        - sort_categories=True and Categoricals are ordered
+    ValueError
+        Empty list of categoricals passed
+
+    Notes
+    -----
+    To learn more about categories, see `link
+    <https://pandas.pydata.org/pandas-docs/stable/user_guide/categorical.html#unioning>`__
+
+    Examples
+    --------
+    If you want to combine categoricals that do not necessarily have
+    the same categories, `union_categoricals` will combine a list-like
+    of categoricals. The new categories will be the union of the
+    categories being combined.
+
+    >>> a = pd.Categorical(["b", "c"])
+    >>> b = pd.Categorical(["a", "b"])
+    >>> pd.api.types.union_categoricals([a, b])
+    ['b', 'c', 'a', 'b']
+    Categories (3, object): ['b', 'c', 'a']
+
+    By default, the resulting categories will be ordered as they appear
+    in the `categories` of the data. If you want the categories to be
+    lexsorted, use `sort_categories=True` argument.
+
+    >>> pd.api.types.union_categoricals([a, b], sort_categories=True)
+    ['b', 'c', 'a', 'b']
+    Categories (3, object): ['a', 'b', 'c']
+
+    `union_categoricals` also works with the case of combining two
+    categoricals of the same categories and order information (e.g. what
+    you could also `append` for).
+
+    >>> a = pd.Categorical(["a", "b"], ordered=True)
+    >>> b = pd.Categorical(["a", "b", "a"], ordered=True)
+    >>> pd.api.types.union_categoricals([a, b])
+    ['a', 'b', 'a', 'b', 'a']
+    Categories (2, object): ['a' < 'b']
+
+    Raises `TypeError` because the categories are ordered and not identical.
+
+    >>> a = pd.Categorical(["a", "b"], ordered=True)
+    >>> b = pd.Categorical(["a", "b", "c"], ordered=True)
+    >>> pd.api.types.union_categoricals([a, b])
+    Traceback (most recent call last):
+        ...
+    TypeError: to union ordered Categoricals, all categories must be the same
+
+    Ordered categoricals with different categories or orderings can be
+    combined by using the `ignore_ordered=True` argument.
+
+    >>> a = pd.Categorical(["a", "b", "c"], ordered=True)
+    >>> b = pd.Categorical(["c", "b", "a"], ordered=True)
+    >>> pd.api.types.union_categoricals([a, b], ignore_order=True)
+    ['a', 'b', 'c', 'c', 'b', 'a']
+    Categories (3, object): ['a', 'b', 'c']
+
+    `union_categoricals` also works with a `CategoricalIndex`, or `Series`
+    containing categorical data, but note that the resulting array will
+    always be a plain `Categorical`
+
+    >>> a = pd.Series(["b", "c"], dtype='category')
+    >>> b = pd.Series(["a", "b"], dtype='category')
+    >>> pd.api.types.union_categoricals([a, b])
+    ['b', 'c', 'a', 'b']
+    Categories (3, object): ['b', 'c', 'a']
+    """
+    from pandas import Categorical
+    from pandas.core.arrays.categorical import recode_for_categories
+
+    if len(to_union) == 0:
+        raise ValueError("No Categoricals to union")
+
+    def _maybe_unwrap(x):
+        if isinstance(x, (ABCCategoricalIndex, ABCSeries)):
+            return x._values
+        elif isinstance(x, Categorical):
+            return x
+        else:
+            raise TypeError("all components to combine must be Categorical")
+
+    to_union = [_maybe_unwrap(x) for x in to_union]
+    first = to_union[0]
+
+    if not lib.dtypes_all_equal([obj.categories.dtype for obj in to_union]):
+        raise TypeError("dtype of categories must be the same")
+
+    ordered = False
+    if all(first._categories_match_up_to_permutation(other) for other in to_union[1:]):
+        # identical categories - fastpath
+        categories = first.categories
+        ordered = first.ordered
+
+        all_codes = [first._encode_with_my_categories(x)._codes for x in to_union]
+        new_codes = np.concatenate(all_codes)
+
+        if sort_categories and not ignore_order and ordered:
+            raise TypeError("Cannot use sort_categories=True with ordered Categoricals")
+
+        if sort_categories and not categories.is_monotonic_increasing:
+            categories = categories.sort_values()
+            indexer = categories.get_indexer(first.categories)
+
+            from pandas.core.algorithms import take_nd
+
+            new_codes = take_nd(indexer, new_codes, fill_value=-1)
+    elif ignore_order or all(not c.ordered for c in to_union):
+        # different categories - union and recode
+        cats = first.categories.append([c.categories for c in to_union[1:]])
+        categories = cats.unique()
+        if sort_categories:
+            categories = categories.sort_values()
+
+        new_codes = [
+            recode_for_categories(c.codes, c.categories, categories) for c in to_union
+        ]
+        new_codes = np.concatenate(new_codes)
+    else:
+        # ordered - to show a proper error message
+        if all(c.ordered for c in to_union):
+            msg = "to union ordered Categoricals, all categories must be the same"
+            raise TypeError(msg)
+        raise TypeError("Categorical.ordered must be the same")
+
+    if ignore_order:
+        ordered = False
+
+    dtype = CategoricalDtype(categories=categories, ordered=ordered)
+    return Categorical._simple_new(new_codes, dtype=dtype)

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/dtypes.py

@@ -0,0 +1,2348 @@
+"""
+Define extension dtypes.
+"""
+from __future__ import annotations
+
+from datetime import (
+    date,
+    datetime,
+    time,
+    timedelta,
+)
+from decimal import Decimal
+import re
+from typing import (
+    TYPE_CHECKING,
+    Any,
+    cast,
+)
+import warnings
+
+import numpy as np
+import pytz
+
+from pandas._libs import (
+    lib,
+    missing as libmissing,
+)
+from pandas._libs.interval import Interval
+from pandas._libs.properties import cache_readonly
+from pandas._libs.tslibs import (
+    BaseOffset,
+    NaT,
+    NaTType,
+    Period,
+    Timedelta,
+    Timestamp,
+    timezones,
+    to_offset,
+    tz_compare,
+)
+from pandas._libs.tslibs.dtypes import (
+    PeriodDtypeBase,
+    abbrev_to_npy_unit,
+)
+from pandas._libs.tslibs.offsets import BDay
+from pandas.compat import pa_version_under10p1
+from pandas.errors import PerformanceWarning
+from pandas.util._exceptions import find_stack_level
+
+from pandas.core.dtypes.base import (
+    ExtensionDtype,
+    StorageExtensionDtype,
+    register_extension_dtype,
+)
+from pandas.core.dtypes.generic import (
+    ABCCategoricalIndex,
+    ABCIndex,
+    ABCRangeIndex,
+)
+from pandas.core.dtypes.inference import (
+    is_bool,
+    is_list_like,
+)
+
+from pandas.util import capitalize_first_letter
+
+if not pa_version_under10p1:
+    import pyarrow as pa
+
+if TYPE_CHECKING:
+    from collections.abc import MutableMapping
+    from datetime import tzinfo
+
+    import pyarrow as pa  # noqa: TCH004
+
+    from pandas._typing import (
+        Dtype,
+        DtypeObj,
+        IntervalClosedType,
+        Ordered,
+        Self,
+        npt,
+        type_t,
+    )
+
+    from pandas import (
+        Categorical,
+        CategoricalIndex,
+        DatetimeIndex,
+        Index,
+        IntervalIndex,
+        PeriodIndex,
+    )
+    from pandas.core.arrays import (
+        BaseMaskedArray,
+        DatetimeArray,
+        IntervalArray,
+        NumpyExtensionArray,
+        PeriodArray,
+        SparseArray,
+    )
+    from pandas.core.arrays.arrow import ArrowExtensionArray
+
+str_type = str
+
+
+class PandasExtensionDtype(ExtensionDtype):
+    """
+    A np.dtype duck-typed class, suitable for holding a custom dtype.
+
+    THIS IS NOT A REAL NUMPY DTYPE
+    """
+
+    type: Any
+    kind: Any
+    # The Any type annotations above are here only because mypy seems to have a
+    # problem dealing with multiple inheritance from PandasExtensionDtype
+    # and ExtensionDtype's @properties in the subclasses below. The kind and
+    # type variables in those subclasses are explicitly typed below.
+    subdtype = None
+    str: str_type
+    num = 100
+    shape: tuple[int, ...] = ()
+    itemsize = 8
+    base: DtypeObj | None = None
+    isbuiltin = 0
+    isnative = 0
+    _cache_dtypes: dict[str_type, PandasExtensionDtype] = {}
+
+    def __repr__(self) -> str_type:
+        """
+        Return a string representation for a particular object.
+        """
+        return str(self)
+
+    def __hash__(self) -> int:
+        raise NotImplementedError("sub-classes should implement an __hash__ method")
+
+    def __getstate__(self) -> dict[str_type, Any]:
+        # pickle support; we don't want to pickle the cache
+        return {k: getattr(self, k, None) for k in self._metadata}
+
+    @classmethod
+    def reset_cache(cls) -> None:
+        """clear the cache"""
+        cls._cache_dtypes = {}
+
+
+class CategoricalDtypeType(type):
+    """
+    the type of CategoricalDtype, this metaclass determines subclass ability
+    """
+
+
+@register_extension_dtype
+class CategoricalDtype(PandasExtensionDtype, ExtensionDtype):
+    """
+    Type for categorical data with the categories and orderedness.
+
+    Parameters
+    ----------
+    categories : sequence, optional
+        Must be unique, and must not contain any nulls.
+        The categories are stored in an Index,
+        and if an index is provided the dtype of that index will be used.
+    ordered : bool or None, default False
+        Whether or not this categorical is treated as a ordered categorical.
+        None can be used to maintain the ordered value of existing categoricals when
+        used in operations that combine categoricals, e.g. astype, and will resolve to
+        False if there is no existing ordered to maintain.
+
+    Attributes
+    ----------
+    categories
+    ordered
+
+    Methods
+    -------
+    None
+
+    See Also
+    --------
+    Categorical : Represent a categorical variable in classic R / S-plus fashion.
+
+    Notes
+    -----
+    This class is useful for specifying the type of a ``Categorical``
+    independent of the values. See :ref:`categorical.categoricaldtype`
+    for more.
+
+    Examples
+    --------
+    >>> t = pd.CategoricalDtype(categories=['b', 'a'], ordered=True)
+    >>> pd.Series(['a', 'b', 'a', 'c'], dtype=t)
+    0      a
+    1      b
+    2      a
+    3    NaN
+    dtype: category
+    Categories (2, object): ['b' < 'a']
+
+    An empty CategoricalDtype with a specific dtype can be created
+    by providing an empty index. As follows,
+
+    >>> pd.CategoricalDtype(pd.DatetimeIndex([])).categories.dtype
+    dtype('<M8[ns]')
+    """
+
+    # TODO: Document public vs. private API
+    name = "category"
+    type: type[CategoricalDtypeType] = CategoricalDtypeType
+    kind: str_type = "O"
+    str = "|O08"
+    base = np.dtype("O")
+    _metadata = ("categories", "ordered")
+    _cache_dtypes: dict[str_type, PandasExtensionDtype] = {}
+    _supports_2d = False
+    _can_fast_transpose = False
+
+    def __init__(self, categories=None, ordered: Ordered = False) -> None:
+        self._finalize(categories, ordered, fastpath=False)
+
+    @classmethod
+    def _from_fastpath(
+        cls, categories=None, ordered: bool | None = None
+    ) -> CategoricalDtype:
+        self = cls.__new__(cls)
+        self._finalize(categories, ordered, fastpath=True)
+        return self
+
+    @classmethod
+    def _from_categorical_dtype(
+        cls, dtype: CategoricalDtype, categories=None, ordered: Ordered | None = None
+    ) -> CategoricalDtype:
+        if categories is ordered is None:
+            return dtype
+        if categories is None:
+            categories = dtype.categories
+        if ordered is None:
+            ordered = dtype.ordered
+        return cls(categories, ordered)
+
+    @classmethod
+    def _from_values_or_dtype(
+        cls,
+        values=None,
+        categories=None,
+        ordered: bool | None = None,
+        dtype: Dtype | None = None,
+    ) -> CategoricalDtype:
+        """
+        Construct dtype from the input parameters used in :class:`Categorical`.
+
+        This constructor method specifically does not do the factorization
+        step, if that is needed to find the categories. This constructor may
+        therefore return ``CategoricalDtype(categories=None, ordered=None)``,
+        which may not be useful. Additional steps may therefore have to be
+        taken to create the final dtype.
+
+        The return dtype is specified from the inputs in this prioritized
+        order:
+        1. if dtype is a CategoricalDtype, return dtype
+        2. if dtype is the string 'category', create a CategoricalDtype from
+           the supplied categories and ordered parameters, and return that.
+        3. if values is a categorical, use value.dtype, but override it with
+           categories and ordered if either/both of those are not None.
+        4. if dtype is None and values is not a categorical, construct the
+           dtype from categories and ordered, even if either of those is None.
+
+        Parameters
+        ----------
+        values : list-like, optional
+            The list-like must be 1-dimensional.
+        categories : list-like, optional
+            Categories for the CategoricalDtype.
+        ordered : bool, optional
+            Designating if the categories are ordered.
+        dtype : CategoricalDtype or the string "category", optional
+            If ``CategoricalDtype``, cannot be used together with
+            `categories` or `ordered`.
+
+        Returns
+        -------
+        CategoricalDtype
+
+        Examples
+        --------
+        >>> pd.CategoricalDtype._from_values_or_dtype()
+        CategoricalDtype(categories=None, ordered=None, categories_dtype=None)
+        >>> pd.CategoricalDtype._from_values_or_dtype(
+        ...     categories=['a', 'b'], ordered=True
+        ... )
+        CategoricalDtype(categories=['a', 'b'], ordered=True, categories_dtype=object)
+        >>> dtype1 = pd.CategoricalDtype(['a', 'b'], ordered=True)
+        >>> dtype2 = pd.CategoricalDtype(['x', 'y'], ordered=False)
+        >>> c = pd.Categorical([0, 1], dtype=dtype1)
+        >>> pd.CategoricalDtype._from_values_or_dtype(
+        ...     c, ['x', 'y'], ordered=True, dtype=dtype2
+        ... )
+        Traceback (most recent call last):
+            ...
+        ValueError: Cannot specify `categories` or `ordered` together with
+        `dtype`.
+
+        The supplied dtype takes precedence over values' dtype:
+
+        >>> pd.CategoricalDtype._from_values_or_dtype(c, dtype=dtype2)
+        CategoricalDtype(categories=['x', 'y'], ordered=False, categories_dtype=object)
+        """
+
+        if dtype is not None:
+            # The dtype argument takes precedence over values.dtype (if any)
+            if isinstance(dtype, str):
+                if dtype == "category":
+                    if ordered is None and cls.is_dtype(values):
+                        # GH#49309 preserve orderedness
+                        ordered = values.dtype.ordered
+
+                    dtype = CategoricalDtype(categories, ordered)
+                else:
+                    raise ValueError(f"Unknown dtype {repr(dtype)}")
+            elif categories is not None or ordered is not None:
+                raise ValueError(
+                    "Cannot specify `categories` or `ordered` together with `dtype`."
+                )
+            elif not isinstance(dtype, CategoricalDtype):
+                raise ValueError(f"Cannot not construct CategoricalDtype from {dtype}")
+        elif cls.is_dtype(values):
+            # If no "dtype" was passed, use the one from "values", but honor
+            # the "ordered" and "categories" arguments
+            dtype = values.dtype._from_categorical_dtype(
+                values.dtype, categories, ordered
+            )
+        else:
+            # If dtype=None and values is not categorical, create a new dtype.
+            # Note: This could potentially have categories=None and
+            # ordered=None.
+            dtype = CategoricalDtype(categories, ordered)
+
+        return cast(CategoricalDtype, dtype)
+
+    @classmethod
+    def construct_from_string(cls, string: str_type) -> CategoricalDtype:
+        """
+        Construct a CategoricalDtype from a string.
+
+        Parameters
+        ----------
+        string : str
+            Must be the string "category" in order to be successfully constructed.
+
+        Returns
+        -------
+        CategoricalDtype
+            Instance of the dtype.
+
+        Raises
+        ------
+        TypeError
+            If a CategoricalDtype cannot be constructed from the input.
+        """
+        if not isinstance(string, str):
+            raise TypeError(
+                f"'construct_from_string' expects a string, got {type(string)}"
+            )
+        if string != cls.name:
+            raise TypeError(f"Cannot construct a 'CategoricalDtype' from '{string}'")
+
+        # need ordered=None to ensure that operations specifying dtype="category" don't
+        # override the ordered value for existing categoricals
+        return cls(ordered=None)
+
+    def _finalize(self, categories, ordered: Ordered, fastpath: bool = False) -> None:
+        if ordered is not None:
+            self.validate_ordered(ordered)
+
+        if categories is not None:
+            categories = self.validate_categories(categories, fastpath=fastpath)
+
+        self._categories = categories
+        self._ordered = ordered
+
+    def __setstate__(self, state: MutableMapping[str_type, Any]) -> None:
+        # for pickle compat. __get_state__ is defined in the
+        # PandasExtensionDtype superclass and uses the public properties to
+        # pickle -> need to set the settable private ones here (see GH26067)
+        self._categories = state.pop("categories", None)
+        self._ordered = state.pop("ordered", False)
+
+    def __hash__(self) -> int:
+        # _hash_categories returns a uint64, so use the negative
+        # space for when we have unknown categories to avoid a conflict
+        if self.categories is None:
+            if self.ordered:
+                return -1
+            else:
+                return -2
+        # We *do* want to include the real self.ordered here
+        return int(self._hash_categories)
+
+    def __eq__(self, other: object) -> bool:
+        """
+        Rules for CDT equality:
+        1) Any CDT is equal to the string 'category'
+        2) Any CDT is equal to itself
+        3) Any CDT is equal to a CDT with categories=None regardless of ordered
+        4) A CDT with ordered=True is only equal to another CDT with
+           ordered=True and identical categories in the same order
+        5) A CDT with ordered={False, None} is only equal to another CDT with
+           ordered={False, None} and identical categories, but same order is
+           not required. There is no distinction between False/None.
+        6) Any other comparison returns False
+        """
+        if isinstance(other, str):
+            return other == self.name
+        elif other is self:
+            return True
+        elif not (hasattr(other, "ordered") and hasattr(other, "categories")):
+            return False
+        elif self.categories is None or other.categories is None:
+            # For non-fully-initialized dtypes, these are only equal to
+            #  - the string "category" (handled above)
+            #  - other CategoricalDtype with categories=None
+            return self.categories is other.categories
+        elif self.ordered or other.ordered:
+            # At least one has ordered=True; equal if both have ordered=True
+            # and the same values for categories in the same order.
+            return (self.ordered == other.ordered) and self.categories.equals(
+                other.categories
+            )
+        else:
+            # Neither has ordered=True; equal if both have the same categories,
+            # but same order is not necessary.  There is no distinction between
+            # ordered=False and ordered=None: CDT(., False) and CDT(., None)
+            # will be equal if they have the same categories.
+            left = self.categories
+            right = other.categories
+
+            # GH#36280 the ordering of checks here is for performance
+            if not left.dtype == right.dtype:
+                return False
+
+            if len(left) != len(right):
+                return False
+
+            if self.categories.equals(other.categories):
+                # Check and see if they happen to be identical categories
+                return True
+
+            if left.dtype != object:
+                # Faster than calculating hash
+                indexer = left.get_indexer(right)
+                # Because left and right have the same length and are unique,
+                #  `indexer` not having any -1s implies that there is a
+                #  bijection between `left` and `right`.
+                return (indexer != -1).all()
+
+            # With object-dtype we need a comparison that identifies
+            #  e.g. int(2) as distinct from float(2)
+            return set(left) == set(right)
+
+    def __repr__(self) -> str_type:
+        if self.categories is None:
+            data = "None"
+            dtype = "None"
+        else:
+            data = self.categories._format_data(name=type(self).__name__)
+            if isinstance(self.categories, ABCRangeIndex):
+                data = str(self.categories._range)
+            data = data.rstrip(", ")
+            dtype = self.categories.dtype
+
+        return (
+            f"CategoricalDtype(categories={data}, ordered={self.ordered}, "
+            f"categories_dtype={dtype})"
+        )
+
+    @cache_readonly
+    def _hash_categories(self) -> int:
+        from pandas.core.util.hashing import (
+            combine_hash_arrays,
+            hash_array,
+            hash_tuples,
+        )
+
+        categories = self.categories
+        ordered = self.ordered
+
+        if len(categories) and isinstance(categories[0], tuple):
+            # assumes if any individual category is a tuple, then all our. ATM
+            # I don't really want to support just some of the categories being
+            # tuples.
+            cat_list = list(categories)  # breaks if a np.array of categories
+            cat_array = hash_tuples(cat_list)
+        else:
+            if categories.dtype == "O" and len({type(x) for x in categories}) != 1:
+                # TODO: hash_array doesn't handle mixed types. It casts
+                # everything to a str first, which means we treat
+                # {'1', '2'} the same as {'1', 2}
+                # find a better solution
+                hashed = hash((tuple(categories), ordered))
+                return hashed
+
+            if DatetimeTZDtype.is_dtype(categories.dtype):
+                # Avoid future warning.
+                categories = categories.view("datetime64[ns]")
+
+            cat_array = hash_array(np.asarray(categories), categorize=False)
+        if ordered:
+            cat_array = np.vstack(
+                [cat_array, np.arange(len(cat_array), dtype=cat_array.dtype)]
+            )
+        else:
+            cat_array = np.array([cat_array])
+        combined_hashed = combine_hash_arrays(iter(cat_array), num_items=len(cat_array))
+        return np.bitwise_xor.reduce(combined_hashed)
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[Categorical]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        from pandas import Categorical
+
+        return Categorical
+
+    @staticmethod
+    def validate_ordered(ordered: Ordered) -> None:
+        """
+        Validates that we have a valid ordered parameter. If
+        it is not a boolean, a TypeError will be raised.
+
+        Parameters
+        ----------
+        ordered : object
+            The parameter to be verified.
+
+        Raises
+        ------
+        TypeError
+            If 'ordered' is not a boolean.
+        """
+        if not is_bool(ordered):
+            raise TypeError("'ordered' must either be 'True' or 'False'")
+
+    @staticmethod
+    def validate_categories(categories, fastpath: bool = False) -> Index:
+        """
+        Validates that we have good categories
+
+        Parameters
+        ----------
+        categories : array-like
+        fastpath : bool
+            Whether to skip nan and uniqueness checks
+
+        Returns
+        -------
+        categories : Index
+        """
+        from pandas.core.indexes.base import Index
+
+        if not fastpath and not is_list_like(categories):
+            raise TypeError(
+                f"Parameter 'categories' must be list-like, was {repr(categories)}"
+            )
+        if not isinstance(categories, ABCIndex):
+            categories = Index._with_infer(categories, tupleize_cols=False)
+
+        if not fastpath:
+            if categories.hasnans:
+                raise ValueError("Categorical categories cannot be null")
+
+            if not categories.is_unique:
+                raise ValueError("Categorical categories must be unique")
+
+        if isinstance(categories, ABCCategoricalIndex):
+            categories = categories.categories
+
+        return categories
+
+    def update_dtype(self, dtype: str_type | CategoricalDtype) -> CategoricalDtype:
+        """
+        Returns a CategoricalDtype with categories and ordered taken from dtype
+        if specified, otherwise falling back to self if unspecified
+
+        Parameters
+        ----------
+        dtype : CategoricalDtype
+
+        Returns
+        -------
+        new_dtype : CategoricalDtype
+        """
+        if isinstance(dtype, str) and dtype == "category":
+            # dtype='category' should not change anything
+            return self
+        elif not self.is_dtype(dtype):
+            raise ValueError(
+                f"a CategoricalDtype must be passed to perform an update, "
+                f"got {repr(dtype)}"
+            )
+        else:
+            # from here on, dtype is a CategoricalDtype
+            dtype = cast(CategoricalDtype, dtype)
+
+        # update categories/ordered unless they've been explicitly passed as None
+        new_categories = (
+            dtype.categories if dtype.categories is not None else self.categories
+        )
+        new_ordered = dtype.ordered if dtype.ordered is not None else self.ordered
+
+        return CategoricalDtype(new_categories, new_ordered)
+
+    @property
+    def categories(self) -> Index:
+        """
+        An ``Index`` containing the unique categories allowed.
+
+        Examples
+        --------
+        >>> cat_type = pd.CategoricalDtype(categories=['a', 'b'], ordered=True)
+        >>> cat_type.categories
+        Index(['a', 'b'], dtype='object')
+        """
+        return self._categories
+
+    @property
+    def ordered(self) -> Ordered:
+        """
+        Whether the categories have an ordered relationship.
+
+        Examples
+        --------
+        >>> cat_type = pd.CategoricalDtype(categories=['a', 'b'], ordered=True)
+        >>> cat_type.ordered
+        True
+
+        >>> cat_type = pd.CategoricalDtype(categories=['a', 'b'], ordered=False)
+        >>> cat_type.ordered
+        False
+        """
+        return self._ordered
+
+    @property
+    def _is_boolean(self) -> bool:
+        from pandas.core.dtypes.common import is_bool_dtype
+
+        return is_bool_dtype(self.categories)
+
+    def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
+        # check if we have all categorical dtype with identical categories
+        if all(isinstance(x, CategoricalDtype) for x in dtypes):
+            first = dtypes[0]
+            if all(first == other for other in dtypes[1:]):
+                return first
+
+        # special case non-initialized categorical
+        # TODO we should figure out the expected return value in general
+        non_init_cats = [
+            isinstance(x, CategoricalDtype) and x.categories is None for x in dtypes
+        ]
+        if all(non_init_cats):
+            return self
+        elif any(non_init_cats):
+            return None
+
+        # categorical is aware of Sparse -> extract sparse subdtypes
+        dtypes = [x.subtype if isinstance(x, SparseDtype) else x for x in dtypes]
+        # extract the categories' dtype
+        non_cat_dtypes = [
+            x.categories.dtype if isinstance(x, CategoricalDtype) else x for x in dtypes
+        ]
+        # TODO should categorical always give an answer?
+        from pandas.core.dtypes.cast import find_common_type
+
+        return find_common_type(non_cat_dtypes)
+
+    @cache_readonly
+    def index_class(self) -> type_t[CategoricalIndex]:
+        from pandas import CategoricalIndex
+
+        return CategoricalIndex
+
+
+@register_extension_dtype
+class DatetimeTZDtype(PandasExtensionDtype):
+    """
+    An ExtensionDtype for timezone-aware datetime data.
+
+    **This is not an actual numpy dtype**, but a duck type.
+
+    Parameters
+    ----------
+    unit : str, default "ns"
+        The precision of the datetime data. Currently limited
+        to ``"ns"``.
+    tz : str, int, or datetime.tzinfo
+        The timezone.
+
+    Attributes
+    ----------
+    unit
+    tz
+
+    Methods
+    -------
+    None
+
+    Raises
+    ------
+    ZoneInfoNotFoundError
+        When the requested timezone cannot be found.
+
+    Examples
+    --------
+    >>> from zoneinfo import ZoneInfo
+    >>> pd.DatetimeTZDtype(tz=ZoneInfo('UTC'))
+    datetime64[ns, UTC]
+
+    >>> pd.DatetimeTZDtype(tz=ZoneInfo('Europe/Paris'))
+    datetime64[ns, Europe/Paris]
+    """
+
+    type: type[Timestamp] = Timestamp
+    kind: str_type = "M"
+    num = 101
+    _metadata = ("unit", "tz")
+    _match = re.compile(r"(datetime64|M8)\[(?P<unit>.+), (?P<tz>.+)\]")
+    _cache_dtypes: dict[str_type, PandasExtensionDtype] = {}
+    _supports_2d = True
+    _can_fast_transpose = True
+
+    @property
+    def na_value(self) -> NaTType:
+        return NaT
+
+    @cache_readonly
+    def base(self) -> DtypeObj:  # type: ignore[override]
+        return np.dtype(f"M8[{self.unit}]")
+
+    # error: Signature of "str" incompatible with supertype "PandasExtensionDtype"
+    @cache_readonly
+    def str(self) -> str:  # type: ignore[override]
+        return f"|M8[{self.unit}]"
+
+    def __init__(self, unit: str_type | DatetimeTZDtype = "ns", tz=None) -> None:
+        if isinstance(unit, DatetimeTZDtype):
+            # error: "str" has no attribute "tz"
+            unit, tz = unit.unit, unit.tz  # type: ignore[attr-defined]
+
+        if unit != "ns":
+            if isinstance(unit, str) and tz is None:
+                # maybe a string like datetime64[ns, tz], which we support for
+                # now.
+                result = type(self).construct_from_string(unit)
+                unit = result.unit
+                tz = result.tz
+                msg = (
+                    f"Passing a dtype alias like 'datetime64[ns, {tz}]' "
+                    "to DatetimeTZDtype is no longer supported. Use "
+                    "'DatetimeTZDtype.construct_from_string()' instead."
+                )
+                raise ValueError(msg)
+            if unit not in ["s", "ms", "us", "ns"]:
+                raise ValueError("DatetimeTZDtype only supports s, ms, us, ns units")
+
+        if tz:
+            tz = timezones.maybe_get_tz(tz)
+            tz = timezones.tz_standardize(tz)
+        elif tz is not None:
+            raise pytz.UnknownTimeZoneError(tz)
+        if tz is None:
+            raise TypeError("A 'tz' is required.")
+
+        self._unit = unit
+        self._tz = tz
+
+    @cache_readonly
+    def _creso(self) -> int:
+        """
+        The NPY_DATETIMEUNIT corresponding to this dtype's resolution.
+        """
+        return abbrev_to_npy_unit(self.unit)
+
+    @property
+    def unit(self) -> str_type:
+        """
+        The precision of the datetime data.
+
+        Examples
+        --------
+        >>> from zoneinfo import ZoneInfo
+        >>> dtype = pd.DatetimeTZDtype(tz=ZoneInfo('America/Los_Angeles'))
+        >>> dtype.unit
+        'ns'
+        """
+        return self._unit
+
+    @property
+    def tz(self) -> tzinfo:
+        """
+        The timezone.
+
+        Examples
+        --------
+        >>> from zoneinfo import ZoneInfo
+        >>> dtype = pd.DatetimeTZDtype(tz=ZoneInfo('America/Los_Angeles'))
+        >>> dtype.tz
+        zoneinfo.ZoneInfo(key='America/Los_Angeles')
+        """
+        return self._tz
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[DatetimeArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        from pandas.core.arrays import DatetimeArray
+
+        return DatetimeArray
+
+    @classmethod
+    def construct_from_string(cls, string: str_type) -> DatetimeTZDtype:
+        """
+        Construct a DatetimeTZDtype from a string.
+
+        Parameters
+        ----------
+        string : str
+            The string alias for this DatetimeTZDtype.
+            Should be formatted like ``datetime64[ns, <tz>]``,
+            where ``<tz>`` is the timezone name.
+
+        Examples
+        --------
+        >>> DatetimeTZDtype.construct_from_string('datetime64[ns, UTC]')
+        datetime64[ns, UTC]
+        """
+        if not isinstance(string, str):
+            raise TypeError(
+                f"'construct_from_string' expects a string, got {type(string)}"
+            )
+
+        msg = f"Cannot construct a 'DatetimeTZDtype' from '{string}'"
+        match = cls._match.match(string)
+        if match:
+            d = match.groupdict()
+            try:
+                return cls(unit=d["unit"], tz=d["tz"])
+            except (KeyError, TypeError, ValueError) as err:
+                # KeyError if maybe_get_tz tries and fails to get a
+                #  pytz timezone (actually pytz.UnknownTimeZoneError).
+                # TypeError if we pass a nonsense tz;
+                # ValueError if we pass a unit other than "ns"
+                raise TypeError(msg) from err
+        raise TypeError(msg)
+
+    def __str__(self) -> str_type:
+        return f"datetime64[{self.unit}, {self.tz}]"
+
+    @property
+    def name(self) -> str_type:
+        """A string representation of the dtype."""
+        return str(self)
+
+    def __hash__(self) -> int:
+        # make myself hashable
+        # TODO: update this.
+        return hash(str(self))
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, str):
+            if other.startswith("M8["):
+                other = f"datetime64[{other[3:]}"
+            return other == self.name
+
+        return (
+            isinstance(other, DatetimeTZDtype)
+            and self.unit == other.unit
+            and tz_compare(self.tz, other.tz)
+        )
+
+    def __from_arrow__(self, array: pa.Array | pa.ChunkedArray) -> DatetimeArray:
+        """
+        Construct DatetimeArray from pyarrow Array/ChunkedArray.
+
+        Note: If the units in the pyarrow Array are the same as this
+        DatetimeDtype, then values corresponding to the integer representation
+        of ``NaT`` (e.g. one nanosecond before :attr:`pandas.Timestamp.min`)
+        are converted to ``NaT``, regardless of the null indicator in the
+        pyarrow array.
+
+        Parameters
+        ----------
+        array : pyarrow.Array or pyarrow.ChunkedArray
+            The Arrow array to convert to DatetimeArray.
+
+        Returns
+        -------
+        extension array : DatetimeArray
+        """
+        import pyarrow
+
+        from pandas.core.arrays import DatetimeArray
+
+        array = array.cast(pyarrow.timestamp(unit=self._unit), safe=True)
+
+        if isinstance(array, pyarrow.Array):
+            np_arr = array.to_numpy(zero_copy_only=False)
+        else:
+            np_arr = array.to_numpy()
+
+        return DatetimeArray._simple_new(np_arr, dtype=self)
+
+    def __setstate__(self, state) -> None:
+        # for pickle compat. __get_state__ is defined in the
+        # PandasExtensionDtype superclass and uses the public properties to
+        # pickle -> need to set the settable private ones here (see GH26067)
+        self._tz = state["tz"]
+        self._unit = state["unit"]
+
+    def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
+        if all(isinstance(t, DatetimeTZDtype) and t.tz == self.tz for t in dtypes):
+            np_dtype = np.max([cast(DatetimeTZDtype, t).base for t in [self, *dtypes]])
+            unit = np.datetime_data(np_dtype)[0]
+            return type(self)(unit=unit, tz=self.tz)
+        return super()._get_common_dtype(dtypes)
+
+    @cache_readonly
+    def index_class(self) -> type_t[DatetimeIndex]:
+        from pandas import DatetimeIndex
+
+        return DatetimeIndex
+
+
+@register_extension_dtype
+class PeriodDtype(PeriodDtypeBase, PandasExtensionDtype):
+    """
+    An ExtensionDtype for Period data.
+
+    **This is not an actual numpy dtype**, but a duck type.
+
+    Parameters
+    ----------
+    freq : str or DateOffset
+        The frequency of this PeriodDtype.
+
+    Attributes
+    ----------
+    freq
+
+    Methods
+    -------
+    None
+
+    Examples
+    --------
+    >>> pd.PeriodDtype(freq='D')
+    period[D]
+
+    >>> pd.PeriodDtype(freq=pd.offsets.MonthEnd())
+    period[M]
+    """
+
+    type: type[Period] = Period
+    kind: str_type = "O"
+    str = "|O08"
+    base = np.dtype("O")
+    num = 102
+    _metadata = ("freq",)
+    _match = re.compile(r"(P|p)eriod\[(?P<freq>.+)\]")
+    # error: Incompatible types in assignment (expression has type
+    # "Dict[int, PandasExtensionDtype]", base class "PandasExtensionDtype"
+    # defined the type as "Dict[str, PandasExtensionDtype]")  [assignment]
+    _cache_dtypes: dict[BaseOffset, int] = {}  # type: ignore[assignment]
+    __hash__ = PeriodDtypeBase.__hash__
+    _freq: BaseOffset
+    _supports_2d = True
+    _can_fast_transpose = True
+
+    def __new__(cls, freq) -> PeriodDtype:  # noqa: PYI034
+        """
+        Parameters
+        ----------
+        freq : PeriodDtype, BaseOffset, or string
+        """
+        if isinstance(freq, PeriodDtype):
+            return freq
+
+        if not isinstance(freq, BaseOffset):
+            freq = cls._parse_dtype_strict(freq)
+
+        if isinstance(freq, BDay):
+            # GH#53446
+            # TODO(3.0): enforcing this will close GH#10575
+            warnings.warn(
+                "PeriodDtype[B] is deprecated and will be removed in a future "
+                "version. Use a DatetimeIndex with freq='B' instead",
+                FutureWarning,
+                stacklevel=find_stack_level(),
+            )
+
+        try:
+            dtype_code = cls._cache_dtypes[freq]
+        except KeyError:
+            dtype_code = freq._period_dtype_code
+            cls._cache_dtypes[freq] = dtype_code
+        u = PeriodDtypeBase.__new__(cls, dtype_code, freq.n)
+        u._freq = freq
+        return u
+
+    def __reduce__(self) -> tuple[type_t[Self], tuple[str_type]]:
+        return type(self), (self.name,)
+
+    @property
+    def freq(self) -> BaseOffset:
+        """
+        The frequency object of this PeriodDtype.
+
+        Examples
+        --------
+        >>> dtype = pd.PeriodDtype(freq='D')
+        >>> dtype.freq
+        <Day>
+        """
+        return self._freq
+
+    @classmethod
+    def _parse_dtype_strict(cls, freq: str_type) -> BaseOffset:
+        if isinstance(freq, str):  # note: freq is already of type str!
+            if freq.startswith(("Period[", "period[")):
+                m = cls._match.search(freq)
+                if m is not None:
+                    freq = m.group("freq")
+
+            freq_offset = to_offset(freq, is_period=True)
+            if freq_offset is not None:
+                return freq_offset
+
+        raise TypeError(
+            "PeriodDtype argument should be string or BaseOffset, "
+            f"got {type(freq).__name__}"
+        )
+
+    @classmethod
+    def construct_from_string(cls, string: str_type) -> PeriodDtype:
+        """
+        Strict construction from a string, raise a TypeError if not
+        possible
+        """
+        if (
+            isinstance(string, str)
+            and (string.startswith(("period[", "Period[")))
+            or isinstance(string, BaseOffset)
+        ):
+            # do not parse string like U as period[U]
+            # avoid tuple to be regarded as freq
+            try:
+                return cls(freq=string)
+            except ValueError:
+                pass
+        if isinstance(string, str):
+            msg = f"Cannot construct a 'PeriodDtype' from '{string}'"
+        else:
+            msg = f"'construct_from_string' expects a string, got {type(string)}"
+        raise TypeError(msg)
+
+    def __str__(self) -> str_type:
+        return self.name
+
+    @property
+    def name(self) -> str_type:
+        return f"period[{self._freqstr}]"
+
+    @property
+    def na_value(self) -> NaTType:
+        return NaT
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, str):
+            return other in [self.name, capitalize_first_letter(self.name)]
+
+        return super().__eq__(other)
+
+    def __ne__(self, other: object) -> bool:
+        return not self.__eq__(other)
+
+    @classmethod
+    def is_dtype(cls, dtype: object) -> bool:
+        """
+        Return a boolean if we if the passed type is an actual dtype that we
+        can match (via string or type)
+        """
+        if isinstance(dtype, str):
+            # PeriodDtype can be instantiated from freq string like "U",
+            # but doesn't regard freq str like "U" as dtype.
+            if dtype.startswith(("period[", "Period[")):
+                try:
+                    return cls._parse_dtype_strict(dtype) is not None
+                except ValueError:
+                    return False
+            else:
+                return False
+        return super().is_dtype(dtype)
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[PeriodArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        from pandas.core.arrays import PeriodArray
+
+        return PeriodArray
+
+    def __from_arrow__(self, array: pa.Array | pa.ChunkedArray) -> PeriodArray:
+        """
+        Construct PeriodArray from pyarrow Array/ChunkedArray.
+        """
+        import pyarrow
+
+        from pandas.core.arrays import PeriodArray
+        from pandas.core.arrays.arrow._arrow_utils import (
+            pyarrow_array_to_numpy_and_mask,
+        )
+
+        if isinstance(array, pyarrow.Array):
+            chunks = [array]
+        else:
+            chunks = array.chunks
+
+        results = []
+        for arr in chunks:
+            data, mask = pyarrow_array_to_numpy_and_mask(arr, dtype=np.dtype(np.int64))
+            parr = PeriodArray(data.copy(), dtype=self, copy=False)
+            # error: Invalid index type "ndarray[Any, dtype[bool_]]" for "PeriodArray";
+            # expected type "Union[int, Sequence[int], Sequence[bool], slice]"
+            parr[~mask] = NaT  # type: ignore[index]
+            results.append(parr)
+
+        if not results:
+            return PeriodArray(np.array([], dtype="int64"), dtype=self, copy=False)
+        return PeriodArray._concat_same_type(results)
+
+    @cache_readonly
+    def index_class(self) -> type_t[PeriodIndex]:
+        from pandas import PeriodIndex
+
+        return PeriodIndex
+
+
+@register_extension_dtype
+class IntervalDtype(PandasExtensionDtype):
+    """
+    An ExtensionDtype for Interval data.
+
+    **This is not an actual numpy dtype**, but a duck type.
+
+    Parameters
+    ----------
+    subtype : str, np.dtype
+        The dtype of the Interval bounds.
+
+    Attributes
+    ----------
+    subtype
+
+    Methods
+    -------
+    None
+
+    Examples
+    --------
+    >>> pd.IntervalDtype(subtype='int64', closed='both')
+    interval[int64, both]
+    """
+
+    name = "interval"
+    kind: str_type = "O"
+    str = "|O08"
+    base = np.dtype("O")
+    num = 103
+    _metadata = (
+        "subtype",
+        "closed",
+    )
+
+    _match = re.compile(
+        r"(I|i)nterval\[(?P<subtype>[^,]+(\[.+\])?)"
+        r"(, (?P<closed>(right|left|both|neither)))?\]"
+    )
+
+    _cache_dtypes: dict[str_type, PandasExtensionDtype] = {}
+    _subtype: None | np.dtype
+    _closed: IntervalClosedType | None
+
+    def __init__(self, subtype=None, closed: IntervalClosedType | None = None) -> None:
+        from pandas.core.dtypes.common import (
+            is_string_dtype,
+            pandas_dtype,
+        )
+
+        if closed is not None and closed not in {"right", "left", "both", "neither"}:
+            raise ValueError("closed must be one of 'right', 'left', 'both', 'neither'")
+
+        if isinstance(subtype, IntervalDtype):
+            if closed is not None and closed != subtype.closed:
+                raise ValueError(
+                    "dtype.closed and 'closed' do not match. "
+                    "Try IntervalDtype(dtype.subtype, closed) instead."
+                )
+            self._subtype = subtype._subtype
+            self._closed = subtype._closed
+        elif subtype is None:
+            # we are called as an empty constructor
+            # generally for pickle compat
+            self._subtype = None
+            self._closed = closed
+        elif isinstance(subtype, str) and subtype.lower() == "interval":
+            self._subtype = None
+            self._closed = closed
+        else:
+            if isinstance(subtype, str):
+                m = IntervalDtype._match.search(subtype)
+                if m is not None:
+                    gd = m.groupdict()
+                    subtype = gd["subtype"]
+                    if gd.get("closed", None) is not None:
+                        if closed is not None:
+                            if closed != gd["closed"]:
+                                raise ValueError(
+                                    "'closed' keyword does not match value "
+                                    "specified in dtype string"
+                                )
+                        closed = gd["closed"]  # type: ignore[assignment]
+
+            try:
+                subtype = pandas_dtype(subtype)
+            except TypeError as err:
+                raise TypeError("could not construct IntervalDtype") from err
+            if CategoricalDtype.is_dtype(subtype) or is_string_dtype(subtype):
+                # GH 19016
+                msg = (
+                    "category, object, and string subtypes are not supported "
+                    "for IntervalDtype"
+                )
+                raise TypeError(msg)
+            self._subtype = subtype
+            self._closed = closed
+
+    @cache_readonly
+    def _can_hold_na(self) -> bool:
+        subtype = self._subtype
+        if subtype is None:
+            # partially-initialized
+            raise NotImplementedError(
+                "_can_hold_na is not defined for partially-initialized IntervalDtype"
+            )
+        if subtype.kind in "iu":
+            return False
+        return True
+
+    @property
+    def closed(self) -> IntervalClosedType:
+        return self._closed  # type: ignore[return-value]
+
+    @property
+    def subtype(self):
+        """
+        The dtype of the Interval bounds.
+
+        Examples
+        --------
+        >>> dtype = pd.IntervalDtype(subtype='int64', closed='both')
+        >>> dtype.subtype
+        dtype('int64')
+        """
+        return self._subtype
+
+    @classmethod
+    def construct_array_type(cls) -> type[IntervalArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        from pandas.core.arrays import IntervalArray
+
+        return IntervalArray
+
+    @classmethod
+    def construct_from_string(cls, string: str_type) -> IntervalDtype:
+        """
+        attempt to construct this type from a string, raise a TypeError
+        if its not possible
+        """
+        if not isinstance(string, str):
+            raise TypeError(
+                f"'construct_from_string' expects a string, got {type(string)}"
+            )
+
+        if string.lower() == "interval" or cls._match.search(string) is not None:
+            return cls(string)
+
+        msg = (
+            f"Cannot construct a 'IntervalDtype' from '{string}'.\n\n"
+            "Incorrectly formatted string passed to constructor. "
+            "Valid formats include Interval or Interval[dtype] "
+            "where dtype is numeric, datetime, or timedelta"
+        )
+        raise TypeError(msg)
+
+    @property
+    def type(self) -> type[Interval]:
+        return Interval
+
+    def __str__(self) -> str_type:
+        if self.subtype is None:
+            return "interval"
+        if self.closed is None:
+            # Only partially initialized GH#38394
+            return f"interval[{self.subtype}]"
+        return f"interval[{self.subtype}, {self.closed}]"
+
+    def __hash__(self) -> int:
+        # make myself hashable
+        return hash(str(self))
+
+    def __eq__(self, other: object) -> bool:
+        if isinstance(other, str):
+            return other.lower() in (self.name.lower(), str(self).lower())
+        elif not isinstance(other, IntervalDtype):
+            return False
+        elif self.subtype is None or other.subtype is None:
+            # None should match any subtype
+            return True
+        elif self.closed != other.closed:
+            return False
+        else:
+            return self.subtype == other.subtype
+
+    def __setstate__(self, state) -> None:
+        # for pickle compat. __get_state__ is defined in the
+        # PandasExtensionDtype superclass and uses the public properties to
+        # pickle -> need to set the settable private ones here (see GH26067)
+        self._subtype = state["subtype"]
+
+        # backward-compat older pickles won't have "closed" key
+        self._closed = state.pop("closed", None)
+
+    @classmethod
+    def is_dtype(cls, dtype: object) -> bool:
+        """
+        Return a boolean if we if the passed type is an actual dtype that we
+        can match (via string or type)
+        """
+        if isinstance(dtype, str):
+            if dtype.lower().startswith("interval"):
+                try:
+                    return cls.construct_from_string(dtype) is not None
+                except (ValueError, TypeError):
+                    return False
+            else:
+                return False
+        return super().is_dtype(dtype)
+
+    def __from_arrow__(self, array: pa.Array | pa.ChunkedArray) -> IntervalArray:
+        """
+        Construct IntervalArray from pyarrow Array/ChunkedArray.
+        """
+        import pyarrow
+
+        from pandas.core.arrays import IntervalArray
+
+        if isinstance(array, pyarrow.Array):
+            chunks = [array]
+        else:
+            chunks = array.chunks
+
+        results = []
+        for arr in chunks:
+            if isinstance(arr, pyarrow.ExtensionArray):
+                arr = arr.storage
+            left = np.asarray(arr.field("left"), dtype=self.subtype)
+            right = np.asarray(arr.field("right"), dtype=self.subtype)
+            iarr = IntervalArray.from_arrays(left, right, closed=self.closed)
+            results.append(iarr)
+
+        if not results:
+            return IntervalArray.from_arrays(
+                np.array([], dtype=self.subtype),
+                np.array([], dtype=self.subtype),
+                closed=self.closed,
+            )
+        return IntervalArray._concat_same_type(results)
+
+    def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
+        if not all(isinstance(x, IntervalDtype) for x in dtypes):
+            return None
+
+        closed = cast("IntervalDtype", dtypes[0]).closed
+        if not all(cast("IntervalDtype", x).closed == closed for x in dtypes):
+            return np.dtype(object)
+
+        from pandas.core.dtypes.cast import find_common_type
+
+        common = find_common_type([cast("IntervalDtype", x).subtype for x in dtypes])
+        if common == object:
+            return np.dtype(object)
+        return IntervalDtype(common, closed=closed)
+
+    @cache_readonly
+    def index_class(self) -> type_t[IntervalIndex]:
+        from pandas import IntervalIndex
+
+        return IntervalIndex
+
+
+class NumpyEADtype(ExtensionDtype):
+    """
+    A Pandas ExtensionDtype for NumPy dtypes.
+
+    This is mostly for internal compatibility, and is not especially
+    useful on its own.
+
+    Parameters
+    ----------
+    dtype : object
+        Object to be converted to a NumPy data type object.
+
+    See Also
+    --------
+    numpy.dtype
+    """
+
+    _metadata = ("_dtype",)
+    _supports_2d = False
+    _can_fast_transpose = False
+
+    def __init__(self, dtype: npt.DTypeLike | NumpyEADtype | None) -> None:
+        if isinstance(dtype, NumpyEADtype):
+            # make constructor idempotent
+            dtype = dtype.numpy_dtype
+        self._dtype = np.dtype(dtype)
+
+    def __repr__(self) -> str:
+        return f"NumpyEADtype({repr(self.name)})"
+
+    @property
+    def numpy_dtype(self) -> np.dtype:
+        """
+        The NumPy dtype this NumpyEADtype wraps.
+        """
+        return self._dtype
+
+    @property
+    def name(self) -> str:
+        """
+        A bit-width name for this data-type.
+        """
+        return self._dtype.name
+
+    @property
+    def type(self) -> type[np.generic]:
+        """
+        The type object used to instantiate a scalar of this NumPy data-type.
+        """
+        return self._dtype.type
+
+    @property
+    def _is_numeric(self) -> bool:
+        # exclude object, str, unicode, void.
+        return self.kind in set("biufc")
+
+    @property
+    def _is_boolean(self) -> bool:
+        return self.kind == "b"
+
+    @classmethod
+    def construct_from_string(cls, string: str) -> NumpyEADtype:
+        try:
+            dtype = np.dtype(string)
+        except TypeError as err:
+            if not isinstance(string, str):
+                msg = f"'construct_from_string' expects a string, got {type(string)}"
+            else:
+                msg = f"Cannot construct a 'NumpyEADtype' from '{string}'"
+            raise TypeError(msg) from err
+        return cls(dtype)
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[NumpyExtensionArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        from pandas.core.arrays import NumpyExtensionArray
+
+        return NumpyExtensionArray
+
+    @property
+    def kind(self) -> str:
+        """
+        A character code (one of 'biufcmMOSUV') identifying the general kind of data.
+        """
+        return self._dtype.kind
+
+    @property
+    def itemsize(self) -> int:
+        """
+        The element size of this data-type object.
+        """
+        return self._dtype.itemsize
+
+
+class BaseMaskedDtype(ExtensionDtype):
+    """
+    Base class for dtypes for BaseMaskedArray subclasses.
+    """
+
+    base = None
+    type: type
+
+    @property
+    def na_value(self) -> libmissing.NAType:
+        return libmissing.NA
+
+    @cache_readonly
+    def numpy_dtype(self) -> np.dtype:
+        """Return an instance of our numpy dtype"""
+        return np.dtype(self.type)
+
+    @cache_readonly
+    def kind(self) -> str:
+        return self.numpy_dtype.kind
+
+    @cache_readonly
+    def itemsize(self) -> int:
+        """Return the number of bytes in this dtype"""
+        return self.numpy_dtype.itemsize
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[BaseMaskedArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        raise NotImplementedError
+
+    @classmethod
+    def from_numpy_dtype(cls, dtype: np.dtype) -> BaseMaskedDtype:
+        """
+        Construct the MaskedDtype corresponding to the given numpy dtype.
+        """
+        if dtype.kind == "b":
+            from pandas.core.arrays.boolean import BooleanDtype
+
+            return BooleanDtype()
+        elif dtype.kind in "iu":
+            from pandas.core.arrays.integer import NUMPY_INT_TO_DTYPE
+
+            return NUMPY_INT_TO_DTYPE[dtype]
+        elif dtype.kind == "f":
+            from pandas.core.arrays.floating import NUMPY_FLOAT_TO_DTYPE
+
+            return NUMPY_FLOAT_TO_DTYPE[dtype]
+        else:
+            raise NotImplementedError(dtype)
+
+    def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
+        # We unwrap any masked dtypes, find the common dtype we would use
+        #  for that, then re-mask the result.
+        from pandas.core.dtypes.cast import find_common_type
+
+        new_dtype = find_common_type(
+            [
+                dtype.numpy_dtype if isinstance(dtype, BaseMaskedDtype) else dtype
+                for dtype in dtypes
+            ]
+        )
+        if not isinstance(new_dtype, np.dtype):
+            # If we ever support e.g. Masked[DatetimeArray] then this will change
+            return None
+        try:
+            return type(self).from_numpy_dtype(new_dtype)
+        except (KeyError, NotImplementedError):
+            return None
+
+
+@register_extension_dtype
+class SparseDtype(ExtensionDtype):
+    """
+    Dtype for data stored in :class:`SparseArray`.
+
+    This dtype implements the pandas ExtensionDtype interface.
+
+    Parameters
+    ----------
+    dtype : str, ExtensionDtype, numpy.dtype, type, default numpy.float64
+        The dtype of the underlying array storing the non-fill value values.
+    fill_value : scalar, optional
+        The scalar value not stored in the SparseArray. By default, this
+        depends on `dtype`.
+
+        =========== ==========
+        dtype       na_value
+        =========== ==========
+        float       ``np.nan``
+        int         ``0``
+        bool        ``False``
+        datetime64  ``pd.NaT``
+        timedelta64 ``pd.NaT``
+        =========== ==========
+
+        The default value may be overridden by specifying a `fill_value`.
+
+    Attributes
+    ----------
+    None
+
+    Methods
+    -------
+    None
+
+    Examples
+    --------
+    >>> ser = pd.Series([1, 0, 0], dtype=pd.SparseDtype(dtype=int, fill_value=0))
+    >>> ser
+    0    1
+    1    0
+    2    0
+    dtype: Sparse[int64, 0]
+    >>> ser.sparse.density
+    0.3333333333333333
+    """
+
+    _is_immutable = True
+
+    # We include `_is_na_fill_value` in the metadata to avoid hash collisions
+    # between SparseDtype(float, 0.0) and SparseDtype(float, nan).
+    # Without is_na_fill_value in the comparison, those would be equal since
+    # hash(nan) is (sometimes?) 0.
+    _metadata = ("_dtype", "_fill_value", "_is_na_fill_value")
+
+    def __init__(self, dtype: Dtype = np.float64, fill_value: Any = None) -> None:
+        if isinstance(dtype, type(self)):
+            if fill_value is None:
+                fill_value = dtype.fill_value
+            dtype = dtype.subtype
+
+        from pandas.core.dtypes.common import (
+            is_string_dtype,
+            pandas_dtype,
+        )
+        from pandas.core.dtypes.missing import na_value_for_dtype
+
+        dtype = pandas_dtype(dtype)
+        if is_string_dtype(dtype):
+            dtype = np.dtype("object")
+        if not isinstance(dtype, np.dtype):
+            # GH#53160
+            raise TypeError("SparseDtype subtype must be a numpy dtype")
+
+        if fill_value is None:
+            fill_value = na_value_for_dtype(dtype)
+
+        self._dtype = dtype
+        self._fill_value = fill_value
+        self._check_fill_value()
+
+    def __hash__(self) -> int:
+        # Python3 doesn't inherit __hash__ when a base class overrides
+        # __eq__, so we explicitly do it here.
+        return super().__hash__()
+
+    def __eq__(self, other: object) -> bool:
+        # We have to override __eq__ to handle NA values in _metadata.
+        # The base class does simple == checks, which fail for NA.
+        if isinstance(other, str):
+            try:
+                other = self.construct_from_string(other)
+            except TypeError:
+                return False
+
+        if isinstance(other, type(self)):
+            subtype = self.subtype == other.subtype
+            if self._is_na_fill_value:
+                # this case is complicated by two things:
+                # SparseDtype(float, float(nan)) == SparseDtype(float, np.nan)
+                # SparseDtype(float, np.nan)     != SparseDtype(float, pd.NaT)
+                # i.e. we want to treat any floating-point NaN as equal, but
+                # not a floating-point NaN and a datetime NaT.
+                fill_value = (
+                    other._is_na_fill_value
+                    and isinstance(self.fill_value, type(other.fill_value))
+                    or isinstance(other.fill_value, type(self.fill_value))
+                )
+            else:
+                with warnings.catch_warnings():
+                    # Ignore spurious numpy warning
+                    warnings.filterwarnings(
+                        "ignore",
+                        "elementwise comparison failed",
+                        category=DeprecationWarning,
+                    )
+
+                    fill_value = self.fill_value == other.fill_value
+
+            return subtype and fill_value
+        return False
+
+    @property
+    def fill_value(self):
+        """
+        The fill value of the array.
+
+        Converting the SparseArray to a dense ndarray will fill the
+        array with this value.
+
+        .. warning::
+
+           It's possible to end up with a SparseArray that has ``fill_value``
+           values in ``sp_values``. This can occur, for example, when setting
+           ``SparseArray.fill_value`` directly.
+        """
+        return self._fill_value
+
+    def _check_fill_value(self) -> None:
+        if not lib.is_scalar(self._fill_value):
+            raise ValueError(
+                f"fill_value must be a scalar. Got {self._fill_value} instead"
+            )
+
+        from pandas.core.dtypes.cast import can_hold_element
+        from pandas.core.dtypes.missing import (
+            is_valid_na_for_dtype,
+            isna,
+        )
+
+        from pandas.core.construction import ensure_wrapped_if_datetimelike
+
+        # GH#23124 require fill_value and subtype to match
+        val = self._fill_value
+        if isna(val):
+            if not is_valid_na_for_dtype(val, self.subtype):
+                warnings.warn(
+                    "Allowing arbitrary scalar fill_value in SparseDtype is "
+                    "deprecated. In a future version, the fill_value must be "
+                    "a valid value for the SparseDtype.subtype.",
+                    FutureWarning,
+                    stacklevel=find_stack_level(),
+                )
+        else:
+            dummy = np.empty(0, dtype=self.subtype)
+            dummy = ensure_wrapped_if_datetimelike(dummy)
+
+            if not can_hold_element(dummy, val):
+                warnings.warn(
+                    "Allowing arbitrary scalar fill_value in SparseDtype is "
+                    "deprecated. In a future version, the fill_value must be "
+                    "a valid value for the SparseDtype.subtype.",
+                    FutureWarning,
+                    stacklevel=find_stack_level(),
+                )
+
+    @property
+    def _is_na_fill_value(self) -> bool:
+        from pandas import isna
+
+        return isna(self.fill_value)
+
+    @property
+    def _is_numeric(self) -> bool:
+        return not self.subtype == object
+
+    @property
+    def _is_boolean(self) -> bool:
+        return self.subtype.kind == "b"
+
+    @property
+    def kind(self) -> str:
+        """
+        The sparse kind. Either 'integer', or 'block'.
+        """
+        return self.subtype.kind
+
+    @property
+    def type(self):
+        return self.subtype.type
+
+    @property
+    def subtype(self):
+        return self._dtype
+
+    @property
+    def name(self) -> str:
+        return f"Sparse[{self.subtype.name}, {repr(self.fill_value)}]"
+
+    def __repr__(self) -> str:
+        return self.name
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[SparseArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        from pandas.core.arrays.sparse.array import SparseArray
+
+        return SparseArray
+
+    @classmethod
+    def construct_from_string(cls, string: str) -> SparseDtype:
+        """
+        Construct a SparseDtype from a string form.
+
+        Parameters
+        ----------
+        string : str
+            Can take the following forms.
+
+            string           dtype
+            ================ ============================
+            'int'            SparseDtype[np.int64, 0]
+            'Sparse'         SparseDtype[np.float64, nan]
+            'Sparse[int]'    SparseDtype[np.int64, 0]
+            'Sparse[int, 0]' SparseDtype[np.int64, 0]
+            ================ ============================
+
+            It is not possible to specify non-default fill values
+            with a string. An argument like ``'Sparse[int, 1]'``
+            will raise a ``TypeError`` because the default fill value
+            for integers is 0.
+
+        Returns
+        -------
+        SparseDtype
+        """
+        if not isinstance(string, str):
+            raise TypeError(
+                f"'construct_from_string' expects a string, got {type(string)}"
+            )
+        msg = f"Cannot construct a 'SparseDtype' from '{string}'"
+        if string.startswith("Sparse"):
+            try:
+                sub_type, has_fill_value = cls._parse_subtype(string)
+            except ValueError as err:
+                raise TypeError(msg) from err
+            else:
+                result = SparseDtype(sub_type)
+                msg = (
+                    f"Cannot construct a 'SparseDtype' from '{string}'.\n\nIt "
+                    "looks like the fill_value in the string is not "
+                    "the default for the dtype. Non-default fill_values "
+                    "are not supported. Use the 'SparseDtype()' "
+                    "constructor instead."
+                )
+                if has_fill_value and str(result) != string:
+                    raise TypeError(msg)
+                return result
+        else:
+            raise TypeError(msg)
+
+    @staticmethod
+    def _parse_subtype(dtype: str) -> tuple[str, bool]:
+        """
+        Parse a string to get the subtype
+
+        Parameters
+        ----------
+        dtype : str
+            A string like
+
+            * Sparse[subtype]
+            * Sparse[subtype, fill_value]
+
+        Returns
+        -------
+        subtype : str
+
+        Raises
+        ------
+        ValueError
+            When the subtype cannot be extracted.
+        """
+        xpr = re.compile(r"Sparse\[(?P<subtype>[^,]*)(, )?(?P<fill_value>.*?)?\]$")
+        m = xpr.match(dtype)
+        has_fill_value = False
+        if m:
+            subtype = m.groupdict()["subtype"]
+            has_fill_value = bool(m.groupdict()["fill_value"])
+        elif dtype == "Sparse":
+            subtype = "float64"
+        else:
+            raise ValueError(f"Cannot parse {dtype}")
+        return subtype, has_fill_value
+
+    @classmethod
+    def is_dtype(cls, dtype: object) -> bool:
+        dtype = getattr(dtype, "dtype", dtype)
+        if isinstance(dtype, str) and dtype.startswith("Sparse"):
+            sub_type, _ = cls._parse_subtype(dtype)
+            dtype = np.dtype(sub_type)
+        elif isinstance(dtype, cls):
+            return True
+        return isinstance(dtype, np.dtype) or dtype == "Sparse"
+
+    def update_dtype(self, dtype) -> SparseDtype:
+        """
+        Convert the SparseDtype to a new dtype.
+
+        This takes care of converting the ``fill_value``.
+
+        Parameters
+        ----------
+        dtype : Union[str, numpy.dtype, SparseDtype]
+            The new dtype to use.
+
+            * For a SparseDtype, it is simply returned
+            * For a NumPy dtype (or str), the current fill value
+              is converted to the new dtype, and a SparseDtype
+              with `dtype` and the new fill value is returned.
+
+        Returns
+        -------
+        SparseDtype
+            A new SparseDtype with the correct `dtype` and fill value
+            for that `dtype`.
+
+        Raises
+        ------
+        ValueError
+            When the current fill value cannot be converted to the
+            new `dtype` (e.g. trying to convert ``np.nan`` to an
+            integer dtype).
+
+
+        Examples
+        --------
+        >>> SparseDtype(int, 0).update_dtype(float)
+        Sparse[float64, 0.0]
+
+        >>> SparseDtype(int, 1).update_dtype(SparseDtype(float, np.nan))
+        Sparse[float64, nan]
+        """
+        from pandas.core.dtypes.astype import astype_array
+        from pandas.core.dtypes.common import pandas_dtype
+
+        cls = type(self)
+        dtype = pandas_dtype(dtype)
+
+        if not isinstance(dtype, cls):
+            if not isinstance(dtype, np.dtype):
+                raise TypeError("sparse arrays of extension dtypes not supported")
+
+            fv_asarray = np.atleast_1d(np.array(self.fill_value))
+            fvarr = astype_array(fv_asarray, dtype)
+            # NB: not fv_0d.item(), as that casts dt64->int
+            fill_value = fvarr[0]
+            dtype = cls(dtype, fill_value=fill_value)
+
+        return dtype
+
+    @property
+    def _subtype_with_str(self):
+        """
+        Whether the SparseDtype's subtype should be considered ``str``.
+
+        Typically, pandas will store string data in an object-dtype array.
+        When converting values to a dtype, e.g. in ``.astype``, we need to
+        be more specific, we need the actual underlying type.
+
+        Returns
+        -------
+        >>> SparseDtype(int, 1)._subtype_with_str
+        dtype('int64')
+
+        >>> SparseDtype(object, 1)._subtype_with_str
+        dtype('O')
+
+        >>> dtype = SparseDtype(str, '')
+        >>> dtype.subtype
+        dtype('O')
+
+        >>> dtype._subtype_with_str
+        <class 'str'>
+        """
+        if isinstance(self.fill_value, str):
+            return type(self.fill_value)
+        return self.subtype
+
+    def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
+        # TODO for now only handle SparseDtypes and numpy dtypes => extend
+        # with other compatible extension dtypes
+        from pandas.core.dtypes.cast import np_find_common_type
+
+        if any(
+            isinstance(x, ExtensionDtype) and not isinstance(x, SparseDtype)
+            for x in dtypes
+        ):
+            return None
+
+        fill_values = [x.fill_value for x in dtypes if isinstance(x, SparseDtype)]
+        fill_value = fill_values[0]
+
+        from pandas import isna
+
+        # np.nan isn't a singleton, so we may end up with multiple
+        # NaNs here, so we ignore the all NA case too.
+        if not (len(set(fill_values)) == 1 or isna(fill_values).all()):
+            warnings.warn(
+                "Concatenating sparse arrays with multiple fill "
+                f"values: '{fill_values}'. Picking the first and "
+                "converting the rest.",
+                PerformanceWarning,
+                stacklevel=find_stack_level(),
+            )
+
+        np_dtypes = (x.subtype if isinstance(x, SparseDtype) else x for x in dtypes)
+        return SparseDtype(np_find_common_type(*np_dtypes), fill_value=fill_value)
+
+
+@register_extension_dtype
+class ArrowDtype(StorageExtensionDtype):
+    """
+    An ExtensionDtype for PyArrow data types.
+
+    .. warning::
+
+       ArrowDtype is considered experimental. The implementation and
+       parts of the API may change without warning.
+
+    While most ``dtype`` arguments can accept the "string"
+    constructor, e.g. ``"int64[pyarrow]"``, ArrowDtype is useful
+    if the data type contains parameters like ``pyarrow.timestamp``.
+
+    Parameters
+    ----------
+    pyarrow_dtype : pa.DataType
+        An instance of a `pyarrow.DataType <https://arrow.apache.org/docs/python/api/datatypes.html#factory-functions>`__.
+
+    Attributes
+    ----------
+    pyarrow_dtype
+
+    Methods
+    -------
+    None
+
+    Returns
+    -------
+    ArrowDtype
+
+    Examples
+    --------
+    >>> import pyarrow as pa
+    >>> pd.ArrowDtype(pa.int64())
+    int64[pyarrow]
+
+    Types with parameters must be constructed with ArrowDtype.
+
+    >>> pd.ArrowDtype(pa.timestamp("s", tz="America/New_York"))
+    timestamp[s, tz=America/New_York][pyarrow]
+    >>> pd.ArrowDtype(pa.list_(pa.int64()))
+    list<item: int64>[pyarrow]
+    """
+
+    _metadata = ("storage", "pyarrow_dtype")  # type: ignore[assignment]
+
+    def __init__(self, pyarrow_dtype: pa.DataType) -> None:
+        super().__init__("pyarrow")
+        if pa_version_under10p1:
+            raise ImportError("pyarrow>=10.0.1 is required for ArrowDtype")
+        if not isinstance(pyarrow_dtype, pa.DataType):
+            raise ValueError(
+                f"pyarrow_dtype ({pyarrow_dtype}) must be an instance "
+                f"of a pyarrow.DataType. Got {type(pyarrow_dtype)} instead."
+            )
+        self.pyarrow_dtype = pyarrow_dtype
+
+    def __repr__(self) -> str:
+        return self.name
+
+    def __hash__(self) -> int:
+        # make myself hashable
+        return hash(str(self))
+
+    def __eq__(self, other: object) -> bool:
+        if not isinstance(other, type(self)):
+            return super().__eq__(other)
+        return self.pyarrow_dtype == other.pyarrow_dtype
+
+    @property
+    def type(self):
+        """
+        Returns associated scalar type.
+        """
+        pa_type = self.pyarrow_dtype
+        if pa.types.is_integer(pa_type):
+            return int
+        elif pa.types.is_floating(pa_type):
+            return float
+        elif pa.types.is_string(pa_type) or pa.types.is_large_string(pa_type):
+            return str
+        elif (
+            pa.types.is_binary(pa_type)
+            or pa.types.is_fixed_size_binary(pa_type)
+            or pa.types.is_large_binary(pa_type)
+        ):
+            return bytes
+        elif pa.types.is_boolean(pa_type):
+            return bool
+        elif pa.types.is_duration(pa_type):
+            if pa_type.unit == "ns":
+                return Timedelta
+            else:
+                return timedelta
+        elif pa.types.is_timestamp(pa_type):
+            if pa_type.unit == "ns":
+                return Timestamp
+            else:
+                return datetime
+        elif pa.types.is_date(pa_type):
+            return date
+        elif pa.types.is_time(pa_type):
+            return time
+        elif pa.types.is_decimal(pa_type):
+            return Decimal
+        elif pa.types.is_dictionary(pa_type):
+            # TODO: Potentially change this & CategoricalDtype.type to
+            #  something more representative of the scalar
+            return CategoricalDtypeType
+        elif pa.types.is_list(pa_type) or pa.types.is_large_list(pa_type):
+            return list
+        elif pa.types.is_fixed_size_list(pa_type):
+            return list
+        elif pa.types.is_map(pa_type):
+            return list
+        elif pa.types.is_struct(pa_type):
+            return dict
+        elif pa.types.is_null(pa_type):
+            # TODO: None? pd.NA? pa.null?
+            return type(pa_type)
+        elif isinstance(pa_type, pa.ExtensionType):
+            return type(self)(pa_type.storage_type).type
+        raise NotImplementedError(pa_type)
+
+    @property
+    def name(self) -> str:  # type: ignore[override]
+        """
+        A string identifying the data type.
+        """
+        return f"{str(self.pyarrow_dtype)}[{self.storage}]"
+
+    @cache_readonly
+    def numpy_dtype(self) -> np.dtype:
+        """Return an instance of the related numpy dtype"""
+        if pa.types.is_timestamp(self.pyarrow_dtype):
+            # pa.timestamp(unit).to_pandas_dtype() returns ns units
+            # regardless of the pyarrow timestamp units.
+            # This can be removed if/when pyarrow addresses it:
+            # https://github.com/apache/arrow/issues/34462
+            return np.dtype(f"datetime64[{self.pyarrow_dtype.unit}]")
+        if pa.types.is_duration(self.pyarrow_dtype):
+            # pa.duration(unit).to_pandas_dtype() returns ns units
+            # regardless of the pyarrow duration units
+            # This can be removed if/when pyarrow addresses it:
+            # https://github.com/apache/arrow/issues/34462
+            return np.dtype(f"timedelta64[{self.pyarrow_dtype.unit}]")
+        if pa.types.is_string(self.pyarrow_dtype) or pa.types.is_large_string(
+            self.pyarrow_dtype
+        ):
+            # pa.string().to_pandas_dtype() = object which we don't want
+            return np.dtype(str)
+        try:
+            return np.dtype(self.pyarrow_dtype.to_pandas_dtype())
+        except (NotImplementedError, TypeError):
+            return np.dtype(object)
+
+    @cache_readonly
+    def kind(self) -> str:
+        if pa.types.is_timestamp(self.pyarrow_dtype):
+            # To mirror DatetimeTZDtype
+            return "M"
+        return self.numpy_dtype.kind
+
+    @cache_readonly
+    def itemsize(self) -> int:
+        """Return the number of bytes in this dtype"""
+        return self.numpy_dtype.itemsize
+
+    @classmethod
+    def construct_array_type(cls) -> type_t[ArrowExtensionArray]:
+        """
+        Return the array type associated with this dtype.
+
+        Returns
+        -------
+        type
+        """
+        from pandas.core.arrays.arrow import ArrowExtensionArray
+
+        return ArrowExtensionArray
+
+    @classmethod
+    def construct_from_string(cls, string: str) -> ArrowDtype:
+        """
+        Construct this type from a string.
+
+        Parameters
+        ----------
+        string : str
+            string should follow the format f"{pyarrow_type}[pyarrow]"
+            e.g. int64[pyarrow]
+        """
+        if not isinstance(string, str):
+            raise TypeError(
+                f"'construct_from_string' expects a string, got {type(string)}"
+            )
+        if not string.endswith("[pyarrow]"):
+            raise TypeError(f"'{string}' must end with '[pyarrow]'")
+        if string == "string[pyarrow]":
+            # Ensure Registry.find skips ArrowDtype to use StringDtype instead
+            raise TypeError("string[pyarrow] should be constructed by StringDtype")
+
+        base_type = string[:-9]  # get rid of "[pyarrow]"
+        try:
+            pa_dtype = pa.type_for_alias(base_type)
+        except ValueError as err:
+            has_parameters = re.search(r"[\[\(].*[\]\)]", base_type)
+            if has_parameters:
+                # Fallback to try common temporal types
+                try:
+                    return cls._parse_temporal_dtype_string(base_type)
+                except (NotImplementedError, ValueError):
+                    # Fall through to raise with nice exception message below
+                    pass
+
+                raise NotImplementedError(
+                    "Passing pyarrow type specific parameters "
+                    f"({has_parameters.group()}) in the string is not supported. "
+                    "Please construct an ArrowDtype object with a pyarrow_dtype "
+                    "instance with specific parameters."
+                ) from err
+            raise TypeError(f"'{base_type}' is not a valid pyarrow data type.") from err
+        return cls(pa_dtype)
+
+    # TODO(arrow#33642): This can be removed once supported by pyarrow
+    @classmethod
+    def _parse_temporal_dtype_string(cls, string: str) -> ArrowDtype:
+        """
+        Construct a temporal ArrowDtype from string.
+        """
+        # we assume
+        #  1) "[pyarrow]" has already been stripped from the end of our string.
+        #  2) we know "[" is present
+        head, tail = string.split("[", 1)
+
+        if not tail.endswith("]"):
+            raise ValueError
+        tail = tail[:-1]
+
+        if head == "timestamp":
+            assert "," in tail  # otherwise type_for_alias should work
+            unit, tz = tail.split(",", 1)
+            unit = unit.strip()
+            tz = tz.strip()
+            if tz.startswith("tz="):
+                tz = tz[3:]
+
+            pa_type = pa.timestamp(unit, tz=tz)
+            dtype = cls(pa_type)
+            return dtype
+
+        raise NotImplementedError(string)
+
+    @property
+    def _is_numeric(self) -> bool:
+        """
+        Whether columns with this dtype should be considered numeric.
+        """
+        # TODO: pa.types.is_boolean?
+        return (
+            pa.types.is_integer(self.pyarrow_dtype)
+            or pa.types.is_floating(self.pyarrow_dtype)
+            or pa.types.is_decimal(self.pyarrow_dtype)
+        )
+
+    @property
+    def _is_boolean(self) -> bool:
+        """
+        Whether this dtype should be considered boolean.
+        """
+        return pa.types.is_boolean(self.pyarrow_dtype)
+
+    def _get_common_dtype(self, dtypes: list[DtypeObj]) -> DtypeObj | None:
+        # We unwrap any masked dtypes, find the common dtype we would use
+        #  for that, then re-mask the result.
+        # Mirrors BaseMaskedDtype
+        from pandas.core.dtypes.cast import find_common_type
+
+        null_dtype = type(self)(pa.null())
+
+        new_dtype = find_common_type(
+            [
+                dtype.numpy_dtype if isinstance(dtype, ArrowDtype) else dtype
+                for dtype in dtypes
+                if dtype != null_dtype
+            ]
+        )
+        if not isinstance(new_dtype, np.dtype):
+            return None
+        try:
+            pa_dtype = pa.from_numpy_dtype(new_dtype)
+            return type(self)(pa_dtype)
+        except NotImplementedError:
+            return None
+
+    def __from_arrow__(self, array: pa.Array | pa.ChunkedArray):
+        """
+        Construct IntegerArray/FloatingArray from pyarrow Array/ChunkedArray.
+        """
+        array_class = self.construct_array_type()
+        arr = array.cast(self.pyarrow_dtype, safe=True)
+        return array_class(arr)

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/generic.py

@@ -0,0 +1,147 @@
+""" define generic base classes for pandas objects """
+from __future__ import annotations
+
+from typing import (
+    TYPE_CHECKING,
+    Type,
+    cast,
+)
+
+if TYPE_CHECKING:
+    from pandas import (
+        Categorical,
+        CategoricalIndex,
+        DataFrame,
+        DatetimeIndex,
+        Index,
+        IntervalIndex,
+        MultiIndex,
+        PeriodIndex,
+        RangeIndex,
+        Series,
+        TimedeltaIndex,
+    )
+    from pandas.core.arrays import (
+        DatetimeArray,
+        ExtensionArray,
+        NumpyExtensionArray,
+        PeriodArray,
+        TimedeltaArray,
+    )
+    from pandas.core.generic import NDFrame
+
+
+# define abstract base classes to enable isinstance type checking on our
+# objects
+def create_pandas_abc_type(name, attr, comp):
+    def _check(inst) -> bool:
+        return getattr(inst, attr, "_typ") in comp
+
+    # https://github.com/python/mypy/issues/1006
+    # error: 'classmethod' used with a non-method
+    @classmethod  # type: ignore[misc]
+    def _instancecheck(cls, inst) -> bool:
+        return _check(inst) and not isinstance(inst, type)
+
+    @classmethod  # type: ignore[misc]
+    def _subclasscheck(cls, inst) -> bool:
+        # Raise instead of returning False
+        # This is consistent with default __subclasscheck__ behavior
+        if not isinstance(inst, type):
+            raise TypeError("issubclass() arg 1 must be a class")
+
+        return _check(inst)
+
+    dct = {"__instancecheck__": _instancecheck, "__subclasscheck__": _subclasscheck}
+    meta = type("ABCBase", (type,), dct)
+    return meta(name, (), dct)
+
+
+ABCRangeIndex = cast(
+    "Type[RangeIndex]",
+    create_pandas_abc_type("ABCRangeIndex", "_typ", ("rangeindex",)),
+)
+ABCMultiIndex = cast(
+    "Type[MultiIndex]",
+    create_pandas_abc_type("ABCMultiIndex", "_typ", ("multiindex",)),
+)
+ABCDatetimeIndex = cast(
+    "Type[DatetimeIndex]",
+    create_pandas_abc_type("ABCDatetimeIndex", "_typ", ("datetimeindex",)),
+)
+ABCTimedeltaIndex = cast(
+    "Type[TimedeltaIndex]",
+    create_pandas_abc_type("ABCTimedeltaIndex", "_typ", ("timedeltaindex",)),
+)
+ABCPeriodIndex = cast(
+    "Type[PeriodIndex]",
+    create_pandas_abc_type("ABCPeriodIndex", "_typ", ("periodindex",)),
+)
+ABCCategoricalIndex = cast(
+    "Type[CategoricalIndex]",
+    create_pandas_abc_type("ABCCategoricalIndex", "_typ", ("categoricalindex",)),
+)
+ABCIntervalIndex = cast(
+    "Type[IntervalIndex]",
+    create_pandas_abc_type("ABCIntervalIndex", "_typ", ("intervalindex",)),
+)
+ABCIndex = cast(
+    "Type[Index]",
+    create_pandas_abc_type(
+        "ABCIndex",
+        "_typ",
+        {
+            "index",
+            "rangeindex",
+            "multiindex",
+            "datetimeindex",
+            "timedeltaindex",
+            "periodindex",
+            "categoricalindex",
+            "intervalindex",
+        },
+    ),
+)
+
+
+ABCNDFrame = cast(
+    "Type[NDFrame]",
+    create_pandas_abc_type("ABCNDFrame", "_typ", ("series", "dataframe")),
+)
+ABCSeries = cast(
+    "Type[Series]",
+    create_pandas_abc_type("ABCSeries", "_typ", ("series",)),
+)
+ABCDataFrame = cast(
+    "Type[DataFrame]", create_pandas_abc_type("ABCDataFrame", "_typ", ("dataframe",))
+)
+
+ABCCategorical = cast(
+    "Type[Categorical]",
+    create_pandas_abc_type("ABCCategorical", "_typ", ("categorical")),
+)
+ABCDatetimeArray = cast(
+    "Type[DatetimeArray]",
+    create_pandas_abc_type("ABCDatetimeArray", "_typ", ("datetimearray")),
+)
+ABCTimedeltaArray = cast(
+    "Type[TimedeltaArray]",
+    create_pandas_abc_type("ABCTimedeltaArray", "_typ", ("timedeltaarray")),
+)
+ABCPeriodArray = cast(
+    "Type[PeriodArray]",
+    create_pandas_abc_type("ABCPeriodArray", "_typ", ("periodarray",)),
+)
+ABCExtensionArray = cast(
+    "Type[ExtensionArray]",
+    create_pandas_abc_type(
+        "ABCExtensionArray",
+        "_typ",
+        # Note: IntervalArray and SparseArray are included bc they have _typ="extension"
+        {"extension", "categorical", "periodarray", "datetimearray", "timedeltaarray"},
+    ),
+)
+ABCNumpyExtensionArray = cast(
+    "Type[NumpyExtensionArray]",
+    create_pandas_abc_type("ABCNumpyExtensionArray", "_typ", ("npy_extension",)),
+)

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/inference.py

@@ -0,0 +1,437 @@
+""" basic inference routines """
+
+from __future__ import annotations
+
+from collections import abc
+from numbers import Number
+import re
+from re import Pattern
+from typing import TYPE_CHECKING
+
+import numpy as np
+
+from pandas._libs import lib
+
+if TYPE_CHECKING:
+    from collections.abc import Hashable
+
+    from pandas._typing import TypeGuard
+
+is_bool = lib.is_bool
+
+is_integer = lib.is_integer
+
+is_float = lib.is_float
+
+is_complex = lib.is_complex
+
+is_scalar = lib.is_scalar
+
+is_decimal = lib.is_decimal
+
+is_interval = lib.is_interval
+
+is_list_like = lib.is_list_like
+
+is_iterator = lib.is_iterator
+
+
+def is_number(obj) -> TypeGuard[Number | np.number]:
+    """
+    Check if the object is a number.
+
+    Returns True when the object is a number, and False if is not.
+
+    Parameters
+    ----------
+    obj : any type
+        The object to check if is a number.
+
+    Returns
+    -------
+    bool
+        Whether `obj` is a number or not.
+
+    See Also
+    --------
+    api.types.is_integer: Checks a subgroup of numbers.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_number
+    >>> is_number(1)
+    True
+    >>> is_number(7.15)
+    True
+
+    Booleans are valid because they are int subclass.
+
+    >>> is_number(False)
+    True
+
+    >>> is_number("foo")
+    False
+    >>> is_number("5")
+    False
+    """
+    return isinstance(obj, (Number, np.number))
+
+
+def iterable_not_string(obj) -> bool:
+    """
+    Check if the object is an iterable but not a string.
+
+    Parameters
+    ----------
+    obj : The object to check.
+
+    Returns
+    -------
+    is_iter_not_string : bool
+        Whether `obj` is a non-string iterable.
+
+    Examples
+    --------
+    >>> iterable_not_string([1, 2, 3])
+    True
+    >>> iterable_not_string("foo")
+    False
+    >>> iterable_not_string(1)
+    False
+    """
+    return isinstance(obj, abc.Iterable) and not isinstance(obj, str)
+
+
+def is_file_like(obj) -> bool:
+    """
+    Check if the object is a file-like object.
+
+    For objects to be considered file-like, they must
+    be an iterator AND have either a `read` and/or `write`
+    method as an attribute.
+
+    Note: file-like objects must be iterable, but
+    iterable objects need not be file-like.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    bool
+        Whether `obj` has file-like properties.
+
+    Examples
+    --------
+    >>> import io
+    >>> from pandas.api.types import is_file_like
+    >>> buffer = io.StringIO("data")
+    >>> is_file_like(buffer)
+    True
+    >>> is_file_like([1, 2, 3])
+    False
+    """
+    if not (hasattr(obj, "read") or hasattr(obj, "write")):
+        return False
+
+    return bool(hasattr(obj, "__iter__"))
+
+
+def is_re(obj) -> TypeGuard[Pattern]:
+    """
+    Check if the object is a regex pattern instance.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    bool
+        Whether `obj` is a regex pattern.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_re
+    >>> import re
+    >>> is_re(re.compile(".*"))
+    True
+    >>> is_re("foo")
+    False
+    """
+    return isinstance(obj, Pattern)
+
+
+def is_re_compilable(obj) -> bool:
+    """
+    Check if the object can be compiled into a regex pattern instance.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    bool
+        Whether `obj` can be compiled as a regex pattern.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_re_compilable
+    >>> is_re_compilable(".*")
+    True
+    >>> is_re_compilable(1)
+    False
+    """
+    try:
+        re.compile(obj)
+    except TypeError:
+        return False
+    else:
+        return True
+
+
+def is_array_like(obj) -> bool:
+    """
+    Check if the object is array-like.
+
+    For an object to be considered array-like, it must be list-like and
+    have a `dtype` attribute.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    is_array_like : bool
+        Whether `obj` has array-like properties.
+
+    Examples
+    --------
+    >>> is_array_like(np.array([1, 2, 3]))
+    True
+    >>> is_array_like(pd.Series(["a", "b"]))
+    True
+    >>> is_array_like(pd.Index(["2016-01-01"]))
+    True
+    >>> is_array_like([1, 2, 3])
+    False
+    >>> is_array_like(("a", "b"))
+    False
+    """
+    return is_list_like(obj) and hasattr(obj, "dtype")
+
+
+def is_nested_list_like(obj) -> bool:
+    """
+    Check if the object is list-like, and that all of its elements
+    are also list-like.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    is_list_like : bool
+        Whether `obj` has list-like properties.
+
+    Examples
+    --------
+    >>> is_nested_list_like([[1, 2, 3]])
+    True
+    >>> is_nested_list_like([{1, 2, 3}, {1, 2, 3}])
+    True
+    >>> is_nested_list_like(["foo"])
+    False
+    >>> is_nested_list_like([])
+    False
+    >>> is_nested_list_like([[1, 2, 3], 1])
+    False
+
+    Notes
+    -----
+    This won't reliably detect whether a consumable iterator (e. g.
+    a generator) is a nested-list-like without consuming the iterator.
+    To avoid consuming it, we always return False if the outer container
+    doesn't define `__len__`.
+
+    See Also
+    --------
+    is_list_like
+    """
+    return (
+        is_list_like(obj)
+        and hasattr(obj, "__len__")
+        and len(obj) > 0
+        and all(is_list_like(item) for item in obj)
+    )
+
+
+def is_dict_like(obj) -> bool:
+    """
+    Check if the object is dict-like.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    bool
+        Whether `obj` has dict-like properties.
+
+    Examples
+    --------
+    >>> from pandas.api.types import is_dict_like
+    >>> is_dict_like({1: 2})
+    True
+    >>> is_dict_like([1, 2, 3])
+    False
+    >>> is_dict_like(dict)
+    False
+    >>> is_dict_like(dict())
+    True
+    """
+    dict_like_attrs = ("__getitem__", "keys", "__contains__")
+    return (
+        all(hasattr(obj, attr) for attr in dict_like_attrs)
+        # [GH 25196] exclude classes
+        and not isinstance(obj, type)
+    )
+
+
+def is_named_tuple(obj) -> bool:
+    """
+    Check if the object is a named tuple.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    bool
+        Whether `obj` is a named tuple.
+
+    Examples
+    --------
+    >>> from collections import namedtuple
+    >>> from pandas.api.types import is_named_tuple
+    >>> Point = namedtuple("Point", ["x", "y"])
+    >>> p = Point(1, 2)
+    >>>
+    >>> is_named_tuple(p)
+    True
+    >>> is_named_tuple((1, 2))
+    False
+    """
+    return isinstance(obj, abc.Sequence) and hasattr(obj, "_fields")
+
+
+def is_hashable(obj) -> TypeGuard[Hashable]:
+    """
+    Return True if hash(obj) will succeed, False otherwise.
+
+    Some types will pass a test against collections.abc.Hashable but fail when
+    they are actually hashed with hash().
+
+    Distinguish between these and other types by trying the call to hash() and
+    seeing if they raise TypeError.
+
+    Returns
+    -------
+    bool
+
+    Examples
+    --------
+    >>> import collections
+    >>> from pandas.api.types import is_hashable
+    >>> a = ([],)
+    >>> isinstance(a, collections.abc.Hashable)
+    True
+    >>> is_hashable(a)
+    False
+    """
+    # Unfortunately, we can't use isinstance(obj, collections.abc.Hashable),
+    # which can be faster than calling hash. That is because numpy scalars
+    # fail this test.
+
+    # Reconsider this decision once this numpy bug is fixed:
+    # https://github.com/numpy/numpy/issues/5562
+
+    try:
+        hash(obj)
+    except TypeError:
+        return False
+    else:
+        return True
+
+
+def is_sequence(obj) -> bool:
+    """
+    Check if the object is a sequence of objects.
+    String types are not included as sequences here.
+
+    Parameters
+    ----------
+    obj : The object to check
+
+    Returns
+    -------
+    is_sequence : bool
+        Whether `obj` is a sequence of objects.
+
+    Examples
+    --------
+    >>> l = [1, 2, 3]
+    >>>
+    >>> is_sequence(l)
+    True
+    >>> is_sequence(iter(l))
+    False
+    """
+    try:
+        iter(obj)  # Can iterate over it.
+        len(obj)  # Has a length associated with it.
+        return not isinstance(obj, (str, bytes))
+    except (TypeError, AttributeError):
+        return False
+
+
+def is_dataclass(item) -> bool:
+    """
+    Checks if the object is a data-class instance
+
+    Parameters
+    ----------
+    item : object
+
+    Returns
+    --------
+    is_dataclass : bool
+        True if the item is an instance of a data-class,
+        will return false if you pass the data class itself
+
+    Examples
+    --------
+    >>> from dataclasses import dataclass
+    >>> @dataclass
+    ... class Point:
+    ...     x: int
+    ...     y: int
+
+    >>> is_dataclass(Point)
+    False
+    >>> is_dataclass(Point(0,2))
+    True
+
+    """
+    try:
+        import dataclasses
+
+        return dataclasses.is_dataclass(item) and not isinstance(item, type)
+    except ImportError:
+        return False

env-llmeval/lib/python3.10/site-packages/pandas/core/dtypes/missing.py

@@ -0,0 +1,810 @@
+"""
+missing types & inference
+"""
+from __future__ import annotations
+
+from decimal import Decimal
+from functools import partial
+from typing import (
+    TYPE_CHECKING,
+    overload,
+)
+import warnings
+
+import numpy as np
+
+from pandas._config import get_option
+
+from pandas._libs import lib
+import pandas._libs.missing as libmissing
+from pandas._libs.tslibs import (
+    NaT,
+    iNaT,
+)
+
+from pandas.core.dtypes.common import (
+    DT64NS_DTYPE,
+    TD64NS_DTYPE,
+    ensure_object,
+    is_scalar,
+    is_string_or_object_np_dtype,
+)
+from pandas.core.dtypes.dtypes import (
+    CategoricalDtype,
+    DatetimeTZDtype,
+    ExtensionDtype,
+    IntervalDtype,
+    PeriodDtype,
+)
+from pandas.core.dtypes.generic import (
+    ABCDataFrame,
+    ABCExtensionArray,
+    ABCIndex,
+    ABCMultiIndex,
+    ABCSeries,
+)
+from pandas.core.dtypes.inference import is_list_like
+
+if TYPE_CHECKING:
+    from re import Pattern
+
+    from pandas._typing import (
+        ArrayLike,
+        DtypeObj,
+        NDFrame,
+        NDFrameT,
+        Scalar,
+        npt,
+    )
+
+    from pandas import Series
+    from pandas.core.indexes.base import Index
+
+
+isposinf_scalar = libmissing.isposinf_scalar
+isneginf_scalar = libmissing.isneginf_scalar
+
+nan_checker = np.isnan
+INF_AS_NA = False
+_dtype_object = np.dtype("object")
+_dtype_str = np.dtype(str)
+
+
+@overload
+def isna(obj: Scalar | Pattern) -> bool:
+    ...
+
+
+@overload
+def isna(
+    obj: ArrayLike | Index | list,
+) -> npt.NDArray[np.bool_]:
+    ...
+
+
+@overload
+def isna(obj: NDFrameT) -> NDFrameT:
+    ...
+
+
+# handle unions
+@overload
+def isna(obj: NDFrameT | ArrayLike | Index | list) -> NDFrameT | npt.NDArray[np.bool_]:
+    ...
+
+
+@overload
+def isna(obj: object) -> bool | npt.NDArray[np.bool_] | NDFrame:
+    ...
+
+
+def isna(obj: object) -> bool | npt.NDArray[np.bool_] | NDFrame:
+    """
+    Detect missing values for an array-like object.
+
+    This function takes a scalar or array-like object and indicates
+    whether values are missing (``NaN`` in numeric arrays, ``None`` or ``NaN``
+    in object arrays, ``NaT`` in datetimelike).
+
+    Parameters
+    ----------
+    obj : scalar or array-like
+        Object to check for null or missing values.
+
+    Returns
+    -------
+    bool or array-like of bool
+        For scalar input, returns a scalar boolean.
+        For array input, returns an array of boolean indicating whether each
+        corresponding element is missing.
+
+    See Also
+    --------
+    notna : Boolean inverse of pandas.isna.
+    Series.isna : Detect missing values in a Series.
+    DataFrame.isna : Detect missing values in a DataFrame.
+    Index.isna : Detect missing values in an Index.
+
+    Examples
+    --------
+    Scalar arguments (including strings) result in a scalar boolean.
+
+    >>> pd.isna('dog')
+    False
+
+    >>> pd.isna(pd.NA)
+    True
+
+    >>> pd.isna(np.nan)
+    True
+
+    ndarrays result in an ndarray of booleans.
+
+    >>> array = np.array([[1, np.nan, 3], [4, 5, np.nan]])
+    >>> array
+    array([[ 1., nan,  3.],
+           [ 4.,  5., nan]])
+    >>> pd.isna(array)
+    array([[False,  True, False],
+           [False, False,  True]])
+
+    For indexes, an ndarray of booleans is returned.
+
+    >>> index = pd.DatetimeIndex(["2017-07-05", "2017-07-06", None,
+    ...                           "2017-07-08"])
+    >>> index
+    DatetimeIndex(['2017-07-05', '2017-07-06', 'NaT', '2017-07-08'],
+                  dtype='datetime64[ns]', freq=None)
+    >>> pd.isna(index)
+    array([False, False,  True, False])
+
+    For Series and DataFrame, the same type is returned, containing booleans.
+
+    >>> df = pd.DataFrame([['ant', 'bee', 'cat'], ['dog', None, 'fly']])
+    >>> df
+         0     1    2
+    0  ant   bee  cat
+    1  dog  None  fly
+    >>> pd.isna(df)
+           0      1      2
+    0  False  False  False
+    1  False   True  False
+
+    >>> pd.isna(df[1])
+    0    False
+    1     True
+    Name: 1, dtype: bool
+    """
+    return _isna(obj)
+
+
+isnull = isna
+
+
+def _isna(obj, inf_as_na: bool = False):
+    """
+    Detect missing values, treating None, NaN or NA as null. Infinite
+    values will also be treated as null if inf_as_na is True.
+
+    Parameters
+    ----------
+    obj: ndarray or object value
+        Input array or scalar value.
+    inf_as_na: bool
+        Whether to treat infinity as null.
+
+    Returns
+    -------
+    boolean ndarray or boolean
+    """
+    if is_scalar(obj):
+        return libmissing.checknull(obj, inf_as_na=inf_as_na)
+    elif isinstance(obj, ABCMultiIndex):
+        raise NotImplementedError("isna is not defined for MultiIndex")
+    elif isinstance(obj, type):
+        return False
+    elif isinstance(obj, (np.ndarray, ABCExtensionArray)):
+        return _isna_array(obj, inf_as_na=inf_as_na)
+    elif isinstance(obj, ABCIndex):
+        # Try to use cached isna, which also short-circuits for integer dtypes
+        #  and avoids materializing RangeIndex._values
+        if not obj._can_hold_na:
+            return obj.isna()
+        return _isna_array(obj._values, inf_as_na=inf_as_na)
+
+    elif isinstance(obj, ABCSeries):
+        result = _isna_array(obj._values, inf_as_na=inf_as_na)
+        # box
+        result = obj._constructor(result, index=obj.index, name=obj.name, copy=False)
+        return result
+    elif isinstance(obj, ABCDataFrame):
+        return obj.isna()
+    elif isinstance(obj, list):
+        return _isna_array(np.asarray(obj, dtype=object), inf_as_na=inf_as_na)
+    elif hasattr(obj, "__array__"):
+        return _isna_array(np.asarray(obj), inf_as_na=inf_as_na)
+    else:
+        return False
+
+
+def _use_inf_as_na(key) -> None:
+    """
+    Option change callback for na/inf behaviour.
+
+    Choose which replacement for numpy.isnan / -numpy.isfinite is used.
+
+    Parameters
+    ----------
+    flag: bool
+        True means treat None, NaN, INF, -INF as null (old way),
+        False means None and NaN are null, but INF, -INF are not null
+        (new way).
+
+    Notes
+    -----
+    This approach to setting global module values is discussed and
+    approved here:
+
+    * https://stackoverflow.com/questions/4859217/
+      programmatically-creating-variables-in-python/4859312#4859312
+    """
+    inf_as_na = get_option(key)
+    globals()["_isna"] = partial(_isna, inf_as_na=inf_as_na)
+    if inf_as_na:
+        globals()["nan_checker"] = lambda x: ~np.isfinite(x)
+        globals()["INF_AS_NA"] = True
+    else:
+        globals()["nan_checker"] = np.isnan
+        globals()["INF_AS_NA"] = False
+
+
+def _isna_array(values: ArrayLike, inf_as_na: bool = False):
+    """
+    Return an array indicating which values of the input array are NaN / NA.
+
+    Parameters
+    ----------
+    obj: ndarray or ExtensionArray
+        The input array whose elements are to be checked.
+    inf_as_na: bool
+        Whether or not to treat infinite values as NA.
+
+    Returns
+    -------
+    array-like
+        Array of boolean values denoting the NA status of each element.
+    """
+    dtype = values.dtype
+
+    if not isinstance(values, np.ndarray):
+        # i.e. ExtensionArray
+        if inf_as_na and isinstance(dtype, CategoricalDtype):
+            result = libmissing.isnaobj(values.to_numpy(), inf_as_na=inf_as_na)
+        else:
+            # error: Incompatible types in assignment (expression has type
+            # "Union[ndarray[Any, Any], ExtensionArraySupportsAnyAll]", variable has
+            # type "ndarray[Any, dtype[bool_]]")
+            result = values.isna()  # type: ignore[assignment]
+    elif isinstance(values, np.rec.recarray):
+        # GH 48526
+        result = _isna_recarray_dtype(values, inf_as_na=inf_as_na)
+    elif is_string_or_object_np_dtype(values.dtype):
+        result = _isna_string_dtype(values, inf_as_na=inf_as_na)
+    elif dtype.kind in "mM":
+        # this is the NaT pattern
+        result = values.view("i8") == iNaT
+    else:
+        if inf_as_na:
+            result = ~np.isfinite(values)
+        else:
+            result = np.isnan(values)
+
+    return result
+
+
+def _isna_string_dtype(values: np.ndarray, inf_as_na: bool) -> npt.NDArray[np.bool_]:
+    # Working around NumPy ticket 1542
+    dtype = values.dtype
+
+    if dtype.kind in ("S", "U"):
+        result = np.zeros(values.shape, dtype=bool)
+    else:
+        if values.ndim in {1, 2}:
+            result = libmissing.isnaobj(values, inf_as_na=inf_as_na)
+        else:
+            # 0-D, reached via e.g. mask_missing
+            result = libmissing.isnaobj(values.ravel(), inf_as_na=inf_as_na)
+            result = result.reshape(values.shape)
+
+    return result
+
+
+def _has_record_inf_value(record_as_array: np.ndarray) -> np.bool_:
+    is_inf_in_record = np.zeros(len(record_as_array), dtype=bool)
+    for i, value in enumerate(record_as_array):
+        is_element_inf = False
+        try:
+            is_element_inf = np.isinf(value)
+        except TypeError:
+            is_element_inf = False
+        is_inf_in_record[i] = is_element_inf
+
+    return np.any(is_inf_in_record)
+
+
+def _isna_recarray_dtype(
+    values: np.rec.recarray, inf_as_na: bool
+) -> npt.NDArray[np.bool_]:
+    result = np.zeros(values.shape, dtype=bool)
+    for i, record in enumerate(values):
+        record_as_array = np.array(record.tolist())
+        does_record_contain_nan = isna_all(record_as_array)
+        does_record_contain_inf = False
+        if inf_as_na:
+            does_record_contain_inf = bool(_has_record_inf_value(record_as_array))
+        result[i] = np.any(
+            np.logical_or(does_record_contain_nan, does_record_contain_inf)
+        )
+
+    return result
+
+
+@overload
+def notna(obj: Scalar) -> bool:
+    ...
+
+
+@overload
+def notna(
+    obj: ArrayLike | Index | list,
+) -> npt.NDArray[np.bool_]:
+    ...
+
+
+@overload
+def notna(obj: NDFrameT) -> NDFrameT:
+    ...
+
+
+# handle unions
+@overload
+def notna(obj: NDFrameT | ArrayLike | Index | list) -> NDFrameT | npt.NDArray[np.bool_]:
+    ...
+
+
+@overload
+def notna(obj: object) -> bool | npt.NDArray[np.bool_] | NDFrame:
+    ...
+
+
+def notna(obj: object) -> bool | npt.NDArray[np.bool_] | NDFrame:
+    """
+    Detect non-missing values for an array-like object.
+
+    This function takes a scalar or array-like object and indicates
+    whether values are valid (not missing, which is ``NaN`` in numeric
+    arrays, ``None`` or ``NaN`` in object arrays, ``NaT`` in datetimelike).
+
+    Parameters
+    ----------
+    obj : array-like or object value
+        Object to check for *not* null or *non*-missing values.
+
+    Returns
+    -------
+    bool or array-like of bool
+        For scalar input, returns a scalar boolean.
+        For array input, returns an array of boolean indicating whether each
+        corresponding element is valid.
+
+    See Also
+    --------
+    isna : Boolean inverse of pandas.notna.
+    Series.notna : Detect valid values in a Series.
+    DataFrame.notna : Detect valid values in a DataFrame.
+    Index.notna : Detect valid values in an Index.
+
+    Examples
+    --------
+    Scalar arguments (including strings) result in a scalar boolean.
+
+    >>> pd.notna('dog')
+    True
+
+    >>> pd.notna(pd.NA)
+    False
+
+    >>> pd.notna(np.nan)
+    False
+
+    ndarrays result in an ndarray of booleans.
+
+    >>> array = np.array([[1, np.nan, 3], [4, 5, np.nan]])
+    >>> array
+    array([[ 1., nan,  3.],
+           [ 4.,  5., nan]])
+    >>> pd.notna(array)
+    array([[ True, False,  True],
+           [ True,  True, False]])
+
+    For indexes, an ndarray of booleans is returned.
+
+    >>> index = pd.DatetimeIndex(["2017-07-05", "2017-07-06", None,
+    ...                          "2017-07-08"])
+    >>> index
+    DatetimeIndex(['2017-07-05', '2017-07-06', 'NaT', '2017-07-08'],
+                  dtype='datetime64[ns]', freq=None)
+    >>> pd.notna(index)
+    array([ True,  True, False,  True])
+
+    For Series and DataFrame, the same type is returned, containing booleans.
+
+    >>> df = pd.DataFrame([['ant', 'bee', 'cat'], ['dog', None, 'fly']])
+    >>> df
+         0     1    2
+    0  ant   bee  cat
+    1  dog  None  fly
+    >>> pd.notna(df)
+          0      1     2
+    0  True   True  True
+    1  True  False  True
+
+    >>> pd.notna(df[1])
+    0     True
+    1    False
+    Name: 1, dtype: bool
+    """
+    res = isna(obj)
+    if isinstance(res, bool):
+        return not res
+    return ~res
+
+
+notnull = notna
+
+
+def array_equivalent(
+    left,
+    right,
+    strict_nan: bool = False,
+    dtype_equal: bool = False,
+) -> bool:
+    """
+    True if two arrays, left and right, have equal non-NaN elements, and NaNs
+    in corresponding locations.  False otherwise. It is assumed that left and
+    right are NumPy arrays of the same dtype. The behavior of this function
+    (particularly with respect to NaNs) is not defined if the dtypes are
+    different.
+
+    Parameters
+    ----------
+    left, right : ndarrays
+    strict_nan : bool, default False
+        If True, consider NaN and None to be different.
+    dtype_equal : bool, default False
+        Whether `left` and `right` are known to have the same dtype
+        according to `is_dtype_equal`. Some methods like `BlockManager.equals`.
+        require that the dtypes match. Setting this to ``True`` can improve
+        performance, but will give different results for arrays that are
+        equal but different dtypes.
+
+    Returns
+    -------
+    b : bool
+        Returns True if the arrays are equivalent.
+
+    Examples
+    --------
+    >>> array_equivalent(
+    ...     np.array([1, 2, np.nan]),
+    ...     np.array([1, 2, np.nan]))
+    True
+    >>> array_equivalent(
+    ...     np.array([1, np.nan, 2]),
+    ...     np.array([1, 2, np.nan]))
+    False
+    """
+    left, right = np.asarray(left), np.asarray(right)
+
+    # shape compat
+    if left.shape != right.shape:
+        return False
+
+    if dtype_equal:
+        # fastpath when we require that the dtypes match (Block.equals)
+        if left.dtype.kind in "fc":
+            return _array_equivalent_float(left, right)
+        elif left.dtype.kind in "mM":
+            return _array_equivalent_datetimelike(left, right)
+        elif is_string_or_object_np_dtype(left.dtype):
+            # TODO: fastpath for pandas' StringDtype
+            return _array_equivalent_object(left, right, strict_nan)
+        else:
+            return np.array_equal(left, right)
+
+    # Slow path when we allow comparing different dtypes.
+    # Object arrays can contain None, NaN and NaT.
+    # string dtypes must be come to this path for NumPy 1.7.1 compat
+    if left.dtype.kind in "OSU" or right.dtype.kind in "OSU":
+        # Note: `in "OSU"` is non-trivially faster than `in ["O", "S", "U"]`
+        #  or `in ("O", "S", "U")`
+        return _array_equivalent_object(left, right, strict_nan)
+
+    # NaNs can occur in float and complex arrays.
+    if left.dtype.kind in "fc":
+        if not (left.size and right.size):
+            return True
+        return ((left == right) | (isna(left) & isna(right))).all()
+
+    elif left.dtype.kind in "mM" or right.dtype.kind in "mM":
+        # datetime64, timedelta64, Period
+        if left.dtype != right.dtype:
+            return False
+
+        left = left.view("i8")
+        right = right.view("i8")
+
+    # if we have structured dtypes, compare first
+    if (
+        left.dtype.type is np.void or right.dtype.type is np.void
+    ) and left.dtype != right.dtype:
+        return False
+
+    return np.array_equal(left, right)
+
+
+def _array_equivalent_float(left: np.ndarray, right: np.ndarray) -> bool:
+    return bool(((left == right) | (np.isnan(left) & np.isnan(right))).all())
+
+
+def _array_equivalent_datetimelike(left: np.ndarray, right: np.ndarray):
+    return np.array_equal(left.view("i8"), right.view("i8"))
+
+
+def _array_equivalent_object(left: np.ndarray, right: np.ndarray, strict_nan: bool):
+    left = ensure_object(left)
+    right = ensure_object(right)
+
+    mask: npt.NDArray[np.bool_] | None = None
+    if strict_nan:
+        mask = isna(left) & isna(right)
+        if not mask.any():
+            mask = None
+
+    try:
+        if mask is None:
+            return lib.array_equivalent_object(left, right)
+        if not lib.array_equivalent_object(left[~mask], right[~mask]):
+            return False
+        left_remaining = left[mask]
+        right_remaining = right[mask]
+    except ValueError:
+        # can raise a ValueError if left and right cannot be
+        # compared (e.g. nested arrays)
+        left_remaining = left
+        right_remaining = right
+
+    for left_value, right_value in zip(left_remaining, right_remaining):
+        if left_value is NaT and right_value is not NaT:
+            return False
+
+        elif left_value is libmissing.NA and right_value is not libmissing.NA:
+            return False
+
+        elif isinstance(left_value, float) and np.isnan(left_value):
+            if not isinstance(right_value, float) or not np.isnan(right_value):
+                return False
+        else:
+            with warnings.catch_warnings():
+                # suppress numpy's "elementwise comparison failed"
+                warnings.simplefilter("ignore", DeprecationWarning)
+                try:
+                    if np.any(np.asarray(left_value != right_value)):
+                        return False
+                except TypeError as err:
+                    if "boolean value of NA is ambiguous" in str(err):
+                        return False
+                    raise
+                except ValueError:
+                    # numpy can raise a ValueError if left and right cannot be
+                    # compared (e.g. nested arrays)
+                    return False
+    return True
+
+
+def array_equals(left: ArrayLike, right: ArrayLike) -> bool:
+    """
+    ExtensionArray-compatible implementation of array_equivalent.
+    """
+    if left.dtype != right.dtype:
+        return False
+    elif isinstance(left, ABCExtensionArray):
+        return left.equals(right)
+    else:
+        return array_equivalent(left, right, dtype_equal=True)
+
+
+def infer_fill_value(val):
+    """
+    infer the fill value for the nan/NaT from the provided
+    scalar/ndarray/list-like if we are a NaT, return the correct dtyped
+    element to provide proper block construction
+    """
+    if not is_list_like(val):
+        val = [val]
+    val = np.asarray(val)
+    if val.dtype.kind in "mM":
+        return np.array("NaT", dtype=val.dtype)
+    elif val.dtype == object:
+        dtype = lib.infer_dtype(ensure_object(val), skipna=False)
+        if dtype in ["datetime", "datetime64"]:
+            return np.array("NaT", dtype=DT64NS_DTYPE)
+        elif dtype in ["timedelta", "timedelta64"]:
+            return np.array("NaT", dtype=TD64NS_DTYPE)
+        return np.array(np.nan, dtype=object)
+    elif val.dtype.kind == "U":
+        return np.array(np.nan, dtype=val.dtype)
+    return np.nan
+
+
+def construct_1d_array_from_inferred_fill_value(
+    value: object, length: int
+) -> ArrayLike:
+    # Find our empty_value dtype by constructing an array
+    #  from our value and doing a .take on it
+    from pandas.core.algorithms import take_nd
+    from pandas.core.construction import sanitize_array
+    from pandas.core.indexes.base import Index
+
+    arr = sanitize_array(value, Index(range(1)), copy=False)
+    taker = -1 * np.ones(length, dtype=np.intp)
+    return take_nd(arr, taker)
+
+
+def maybe_fill(arr: np.ndarray) -> np.ndarray:
+    """
+    Fill numpy.ndarray with NaN, unless we have a integer or boolean dtype.
+    """
+    if arr.dtype.kind not in "iub":
+        arr.fill(np.nan)
+    return arr
+
+
+def na_value_for_dtype(dtype: DtypeObj, compat: bool = True):
+    """
+    Return a dtype compat na value
+
+    Parameters
+    ----------
+    dtype : string / dtype
+    compat : bool, default True
+
+    Returns
+    -------
+    np.dtype or a pandas dtype
+
+    Examples
+    --------
+    >>> na_value_for_dtype(np.dtype('int64'))
+    0
+    >>> na_value_for_dtype(np.dtype('int64'), compat=False)
+    nan
+    >>> na_value_for_dtype(np.dtype('float64'))
+    nan
+    >>> na_value_for_dtype(np.dtype('bool'))
+    False
+    >>> na_value_for_dtype(np.dtype('datetime64[ns]'))
+    numpy.datetime64('NaT')
+    """
+
+    if isinstance(dtype, ExtensionDtype):
+        return dtype.na_value
+    elif dtype.kind in "mM":
+        unit = np.datetime_data(dtype)[0]
+        return dtype.type("NaT", unit)
+    elif dtype.kind == "f":
+        return np.nan
+    elif dtype.kind in "iu":
+        if compat:
+            return 0
+        return np.nan
+    elif dtype.kind == "b":
+        if compat:
+            return False
+        return np.nan
+    return np.nan
+
+
+def remove_na_arraylike(arr: Series | Index | np.ndarray):
+    """
+    Return array-like containing only true/non-NaN values, possibly empty.
+    """
+    if isinstance(arr.dtype, ExtensionDtype):
+        return arr[notna(arr)]
+    else:
+        return arr[notna(np.asarray(arr))]
+
+
+def is_valid_na_for_dtype(obj, dtype: DtypeObj) -> bool:
+    """
+    isna check that excludes incompatible dtypes
+
+    Parameters
+    ----------
+    obj : object
+    dtype : np.datetime64, np.timedelta64, DatetimeTZDtype, or PeriodDtype
+
+    Returns
+    -------
+    bool
+    """
+    if not lib.is_scalar(obj) or not isna(obj):
+        return False
+    elif dtype.kind == "M":
+        if isinstance(dtype, np.dtype):
+            # i.e. not tzaware
+            return not isinstance(obj, (np.timedelta64, Decimal))
+        # we have to rule out tznaive dt64("NaT")
+        return not isinstance(obj, (np.timedelta64, np.datetime64, Decimal))
+    elif dtype.kind == "m":
+        return not isinstance(obj, (np.datetime64, Decimal))
+    elif dtype.kind in "iufc":
+        # Numeric
+        return obj is not NaT and not isinstance(obj, (np.datetime64, np.timedelta64))
+    elif dtype.kind == "b":
+        # We allow pd.NA, None, np.nan in BooleanArray (same as IntervalDtype)
+        return lib.is_float(obj) or obj is None or obj is libmissing.NA
+
+    elif dtype == _dtype_str:
+        # numpy string dtypes to avoid float np.nan
+        return not isinstance(obj, (np.datetime64, np.timedelta64, Decimal, float))
+
+    elif dtype == _dtype_object:
+        # This is needed for Categorical, but is kind of weird
+        return True
+
+    elif isinstance(dtype, PeriodDtype):
+        return not isinstance(obj, (np.datetime64, np.timedelta64, Decimal))
+
+    elif isinstance(dtype, IntervalDtype):
+        return lib.is_float(obj) or obj is None or obj is libmissing.NA
+
+    elif isinstance(dtype, CategoricalDtype):
+        return is_valid_na_for_dtype(obj, dtype.categories.dtype)
+
+    # fallback, default to allowing NaN, None, NA, NaT
+    return not isinstance(obj, (np.datetime64, np.timedelta64, Decimal))
+
+
+def isna_all(arr: ArrayLike) -> bool:
+    """
+    Optimized equivalent to isna(arr).all()
+    """
+    total_len = len(arr)
+
+    # Usually it's enough to check but a small fraction of values to see if
+    #  a block is NOT null, chunks should help in such cases.
+    #  parameters 1000 and 40 were chosen arbitrarily
+    chunk_len = max(total_len // 40, 1000)
+
+    dtype = arr.dtype
+    if lib.is_np_dtype(dtype, "f"):
+        checker = nan_checker
+
+    elif (lib.is_np_dtype(dtype, "mM")) or isinstance(
+        dtype, (DatetimeTZDtype, PeriodDtype)
+    ):
+        # error: Incompatible types in assignment (expression has type
+        # "Callable[[Any], Any]", variable has type "ufunc")
+        checker = lambda x: np.asarray(x.view("i8")) == iNaT  # type: ignore[assignment]
+
+    else:
+        # error: Incompatible types in assignment (expression has type "Callable[[Any],
+        # Any]", variable has type "ufunc")
+        checker = lambda x: _isna_array(  # type: ignore[assignment]
+            x, inf_as_na=INF_AS_NA
+        )
+
+    return all(
+        checker(arr[i : i + chunk_len]).all() for i in range(0, total_len, chunk_len)
+    )