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array_ops.py
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"""
Functions for arithmetic and comparison operations on NumPy arrays and
ExtensionArrays.
"""
from datetime import timedelta
from functools import partial
import operator
from typing import Any
import numpy as np
from pandas._libs import (
Timedelta,
Timestamp,
lib,
ops as libops,
)
from pandas._typing import (
ArrayLike,
Shape,
)
from pandas.core.dtypes.cast import (
construct_1d_object_array_from_listlike,
find_common_type,
)
from pandas.core.dtypes.common import (
ensure_object,
is_bool_dtype,
is_integer_dtype,
is_list_like,
is_numeric_v_string_like,
is_object_dtype,
is_scalar,
)
from pandas.core.dtypes.generic import (
ABCExtensionArray,
ABCIndex,
ABCSeries,
)
from pandas.core.dtypes.missing import (
isna,
notna,
)
import pandas.core.computation.expressions as expressions
from pandas.core.construction import ensure_wrapped_if_datetimelike
from pandas.core.ops import (
missing,
roperator,
)
from pandas.core.ops.dispatch import should_extension_dispatch
from pandas.core.ops.invalid import invalid_comparison
def comp_method_OBJECT_ARRAY(op, x, y):
if isinstance(y, list):
y = construct_1d_object_array_from_listlike(y)
if isinstance(y, (np.ndarray, ABCSeries, ABCIndex)):
if not is_object_dtype(y.dtype):
y = y.astype(np.object_)
if isinstance(y, (ABCSeries, ABCIndex)):
y = y._values
if x.shape != y.shape:
raise ValueError("Shapes must match", x.shape, y.shape)
result = libops.vec_compare(x.ravel(), y.ravel(), op)
else:
result = libops.scalar_compare(x.ravel(), y, op)
return result.reshape(x.shape)
def _masked_arith_op(x: np.ndarray, y, op):
"""
If the given arithmetic operation fails, attempt it again on
only the non-null elements of the input array(s).
Parameters
----------
x : np.ndarray
y : np.ndarray, Series, Index
op : binary operator
"""
# For Series `x` is 1D so ravel() is a no-op; calling it anyway makes
# the logic valid for both Series and DataFrame ops.
xrav = x.ravel()
assert isinstance(x, np.ndarray), type(x)
if isinstance(y, np.ndarray):
dtype = find_common_type([x.dtype, y.dtype])
# error: Argument "dtype" to "empty" has incompatible type
# "Union[dtype, ExtensionDtype]"; expected "Union[dtype, None, type,
# _SupportsDtype, str, Tuple[Any, int], Tuple[Any, Union[int,
# Sequence[int]]], List[Any], _DtypeDict, Tuple[Any, Any]]"
result = np.empty(x.size, dtype=dtype) # type: ignore[arg-type]
if len(x) != len(y):
raise ValueError(x.shape, y.shape)
else:
ymask = notna(y)
# NB: ravel() is only safe since y is ndarray; for e.g. PeriodIndex
# we would get int64 dtype, see GH#19956
yrav = y.ravel()
mask = notna(xrav) & ymask.ravel()
# See GH#5284, GH#5035, GH#19448 for historical reference
if mask.any():
result[mask] = op(xrav[mask], yrav[mask])
else:
if not is_scalar(y):
raise TypeError(
f"Cannot broadcast np.ndarray with operand of type { type(y) }"
)
# mask is only meaningful for x
result = np.empty(x.size, dtype=x.dtype)
mask = notna(xrav)
# 1 ** np.nan is 1. So we have to unmask those.
if op is pow:
mask = np.where(x == 1, False, mask)
elif op is roperator.rpow:
mask = np.where(y == 1, False, mask)
if mask.any():
result[mask] = op(xrav[mask], y)
np.putmask(result, ~mask, np.nan)
result = result.reshape(x.shape) # 2D compat
return result
def _na_arithmetic_op(left, right, op, is_cmp: bool = False, use_numexpr=True):
"""
Return the result of evaluating op on the passed in values.
If native types are not compatible, try coercion to object dtype.
Parameters
----------
left : np.ndarray
right : np.ndarray or scalar
is_cmp : bool, default False
If this a comparison operation.
Returns
-------
array-like
Raises
------
TypeError : invalid operation
"""
try:
result = expressions.evaluate(op, left, right, use_numexpr=use_numexpr)
except TypeError:
if is_object_dtype(left) or is_object_dtype(right) and not is_cmp:
# For object dtype, fallback to a masked operation (only operating
# on the non-missing values)
# Don't do this for comparisons, as that will handle complex numbers
# incorrectly, see GH#32047
result = _masked_arith_op(left, right, op)
else:
raise
if is_cmp and (is_scalar(result) or result is NotImplemented):
# numpy returned a scalar instead of operating element-wise
# e.g. numeric array vs str
return invalid_comparison(left, right, op)
return missing.dispatch_fill_zeros(op, left, right, result)
def arithmetic_op(left: ArrayLike, right: Any, op, use_numexpr=True):
"""
Evaluate an arithmetic operation `+`, `-`, `*`, `/`, `//`, `%`, `**`, ...
Note: the caller is responsible for ensuring that numpy warnings are
suppressed (with np.errstate(all="ignore")) if needed.
Parameters
----------
left : np.ndarray or ExtensionArray
right : object
Cannot be a DataFrame or Index. Series is *not* excluded.
op : {operator.add, operator.sub, ...}
Or one of the reversed variants from roperator.
Returns
-------
ndarray or ExtensionArray
Or a 2-tuple of these in the case of divmod or rdivmod.
"""
# NB: We assume that extract_array and ensure_wrapped_if_datetimelike
# has already been called on `left` and `right`.
# We need to special-case datetime64/timedelta64 dtypes (e.g. because numpy
# casts integer dtypes to timedelta64 when operating with timedelta64 - GH#22390)
right = _maybe_upcast_for_op(right, left.shape)
if should_extension_dispatch(left, right) or isinstance(right, Timedelta):
# Timedelta is included because numexpr will fail on it, see GH#31457
res_values = op(left, right)
else:
res_values = _na_arithmetic_op(left, right, op, use_numexpr=use_numexpr)
return res_values
def comparison_op(left: ArrayLike, right: Any, op, use_numexpr=True) -> ArrayLike:
"""
Evaluate a comparison operation `=`, `!=`, `>=`, `>`, `<=`, or `<`.
Note: the caller is responsible for ensuring that numpy warnings are
suppressed (with np.errstate(all="ignore")) if needed.
Parameters
----------
left : np.ndarray or ExtensionArray
right : object
Cannot be a DataFrame, Series, or Index.
op : {operator.eq, operator.ne, operator.gt, operator.ge, operator.lt, operator.le}
Returns
-------
ndarray or ExtensionArray
"""
# NB: We assume extract_array has already been called on left and right
lvalues = ensure_wrapped_if_datetimelike(left)
rvalues = ensure_wrapped_if_datetimelike(right)
rvalues = lib.item_from_zerodim(rvalues)
if isinstance(rvalues, list):
# TODO: same for tuples?
rvalues = np.asarray(rvalues)
if isinstance(rvalues, (np.ndarray, ABCExtensionArray)):
# TODO: make this treatment consistent across ops and classes.
# We are not catching all listlikes here (e.g. frozenset, tuple)
# The ambiguous case is object-dtype. See GH#27803
if len(lvalues) != len(rvalues):
raise ValueError(
"Lengths must match to compare", lvalues.shape, rvalues.shape
)
if should_extension_dispatch(lvalues, rvalues):
# Call the method on lvalues
res_values = op(lvalues, rvalues)
elif is_scalar(rvalues) and isna(rvalues):
# numpy does not like comparisons vs None
if op is operator.ne:
res_values = np.ones(lvalues.shape, dtype=bool)
else:
res_values = np.zeros(lvalues.shape, dtype=bool)
elif is_numeric_v_string_like(lvalues, rvalues):
# GH#36377 going through the numexpr path would incorrectly raise
return invalid_comparison(lvalues, rvalues, op)
elif is_object_dtype(lvalues.dtype):
res_values = comp_method_OBJECT_ARRAY(op, lvalues, rvalues)
else:
res_values = _na_arithmetic_op(
lvalues, rvalues, op, is_cmp=True, use_numexpr=use_numexpr
)
return res_values
def na_logical_op(x: np.ndarray, y, op):
try:
# For exposition, write:
# yarr = isinstance(y, np.ndarray)
# yint = is_integer(y) or (yarr and y.dtype.kind == "i")
# ybool = is_bool(y) or (yarr and y.dtype.kind == "b")
# xint = x.dtype.kind == "i"
# xbool = x.dtype.kind == "b"
# Then Cases where this goes through without raising include:
# (xint or xbool) and (yint or bool)
result = op(x, y)
except TypeError:
if isinstance(y, np.ndarray):
# bool-bool dtype operations should be OK, should not get here
assert not (is_bool_dtype(x.dtype) and is_bool_dtype(y.dtype))
x = ensure_object(x)
y = ensure_object(y)
result = libops.vec_binop(x.ravel(), y.ravel(), op)
else:
# let null fall thru
assert lib.is_scalar(y)
if not isna(y):
y = bool(y)
try:
result = libops.scalar_binop(x, y, op)
except (
TypeError,
ValueError,
AttributeError,
OverflowError,
NotImplementedError,
) as err:
typ = type(y).__name__
raise TypeError(
f"Cannot perform '{op.__name__}' with a dtyped [{x.dtype}] array "
f"and scalar of type [{typ}]"
) from err
return result.reshape(x.shape)
def logical_op(left: ArrayLike, right: Any, op, use_numexpr=True) -> ArrayLike:
"""
Evaluate a logical operation `|`, `&`, or `^`.
Parameters
----------
left : np.ndarray or ExtensionArray
right : object
Cannot be a DataFrame, Series, or Index.
op : {operator.and_, operator.or_, operator.xor}
Or one of the reversed variants from roperator.
Returns
-------
ndarray or ExtensionArray
"""
fill_int = lambda x: x
def fill_bool(x, left=None):
# if `left` is specifically not-boolean, we do not cast to bool
if x.dtype.kind in ["c", "f", "O"]:
# dtypes that can hold NA
mask = isna(x)
if mask.any():
x = x.astype(object)
x[mask] = False
if left is None or is_bool_dtype(left.dtype):
x = x.astype(bool)
return x
is_self_int_dtype = is_integer_dtype(left.dtype)
right = lib.item_from_zerodim(right)
if is_list_like(right) and not hasattr(right, "dtype"):
# e.g. list, tuple
right = construct_1d_object_array_from_listlike(right)
# NB: We assume extract_array has already been called on left and right
lvalues = ensure_wrapped_if_datetimelike(left)
rvalues = right
if should_extension_dispatch(lvalues, rvalues):
# Call the method on lvalues
res_values = op(lvalues, rvalues)
else:
if isinstance(rvalues, np.ndarray):
is_other_int_dtype = is_integer_dtype(rvalues.dtype)
rvalues = rvalues if is_other_int_dtype else fill_bool(rvalues, lvalues)
else:
# i.e. scalar
is_other_int_dtype = lib.is_integer(rvalues)
# For int vs int `^`, `|`, `&` are bitwise operators and return
# integer dtypes. Otherwise these are boolean ops
filler = fill_int if is_self_int_dtype and is_other_int_dtype else fill_bool
res_values = na_logical_op(lvalues, rvalues, op)
# error: Cannot call function of unknown type
res_values = filler(res_values) # type: ignore[operator]
return res_values
def get_array_op(op, use_numexpr=True):
"""
Return a binary array operation corresponding to the given operator op.
Parameters
----------
op : function
Binary operator from operator or roperator module.
Returns
-------
functools.partial
"""
if isinstance(op, partial):
# We get here via dispatch_to_series in DataFrame case
# TODO: avoid getting here
return op
op_name = op.__name__.strip("_").lstrip("r")
if op_name == "arith_op":
# Reached via DataFrame._combine_frame
return op
if op_name in {"eq", "ne", "lt", "le", "gt", "ge"}:
return partial(comparison_op, op=op, use_numexpr=use_numexpr)
elif op_name in {"and", "or", "xor", "rand", "ror", "rxor"}:
return partial(logical_op, op=op, use_numexpr=use_numexpr)
elif op_name in {
"add",
"sub",
"mul",
"truediv",
"floordiv",
"mod",
"divmod",
"pow",
}:
return partial(arithmetic_op, op=op, use_numexpr=use_numexpr)
else:
raise NotImplementedError(op_name)
def _maybe_upcast_for_op(obj, shape: Shape):
"""
Cast non-pandas objects to pandas types to unify behavior of arithmetic
and comparison operations.
Parameters
----------
obj: object
shape : tuple[int]
Returns
-------
out : object
Notes
-----
Be careful to call this *after* determining the `name` attribute to be
attached to the result of the arithmetic operation.
"""
if type(obj) is timedelta:
# GH#22390 cast up to Timedelta to rely on Timedelta
# implementation; otherwise operation against numeric-dtype
# raises TypeError
return Timedelta(obj)
elif isinstance(obj, np.datetime64):
# GH#28080 numpy casts integer-dtype to datetime64 when doing
# array[int] + datetime64, which we do not allow
if isna(obj):
from pandas.core.arrays import DatetimeArray
# Avoid possible ambiguities with pd.NaT
obj = obj.astype("datetime64[ns]")
right = np.broadcast_to(obj, shape)
return DatetimeArray(right)
return Timestamp(obj)
elif isinstance(obj, np.timedelta64):
if isna(obj):
from pandas.core.arrays import TimedeltaArray
# wrapping timedelta64("NaT") in Timedelta returns NaT,
# which would incorrectly be treated as a datetime-NaT, so
# we broadcast and wrap in a TimedeltaArray
obj = obj.astype("timedelta64[ns]")
right = np.broadcast_to(obj, shape)
return TimedeltaArray(right)
# In particular non-nanosecond timedelta64 needs to be cast to
# nanoseconds, or else we get undesired behavior like
# np.timedelta64(3, 'D') / 2 == np.timedelta64(1, 'D')
return Timedelta(obj)
return obj