""" Ops for masked arrays. """ from typing import Optional, Union import numpy as np from pandas._libs import lib, missing as libmissing def kleene_or( left: Union[bool, np.ndarray], right: Union[bool, np.ndarray], left_mask: Optional[np.ndarray], right_mask: Optional[np.ndarray], ): """ Boolean ``or`` using Kleene logic. Values are NA where we have ``NA | NA`` or ``NA | False``. ``NA | True`` is considered True. Parameters ---------- left, right : ndarray, NA, or bool The values of the array. left_mask, right_mask : ndarray, optional The masks. Only one of these may be None, which implies that the associated `left` or `right` value is a scalar. Returns ------- result, mask: ndarray[bool] The result of the logical or, and the new mask. """ # To reduce the number of cases, we ensure that `left` & `left_mask` # always come from an array, not a scalar. This is safe, since because # A | B == B | A if left_mask is None: return kleene_or(right, left, right_mask, left_mask) assert isinstance(left, np.ndarray) raise_for_nan(right, method="or") if right is libmissing.NA: result = left.copy() else: result = left | right if right_mask is not None: # output is unknown where (False & NA), (NA & False), (NA & NA) left_false = ~(left | left_mask) right_false = ~(right | right_mask) mask = ( (left_false & right_mask) | (right_false & left_mask) | (left_mask & right_mask) ) else: if right is True: mask = np.zeros_like(left_mask) elif right is libmissing.NA: mask = (~left & ~left_mask) | left_mask else: # False mask = left_mask.copy() return result, mask def kleene_xor( left: Union[bool, np.ndarray], right: Union[bool, np.ndarray], left_mask: Optional[np.ndarray], right_mask: Optional[np.ndarray], ): """ Boolean ``xor`` using Kleene logic. This is the same as ``or``, with the following adjustments * True, True -> False * True, NA -> NA Parameters ---------- left, right : ndarray, NA, or bool The values of the array. left_mask, right_mask : ndarray, optional The masks. Only one of these may be None, which implies that the associated `left` or `right` value is a scalar. Returns ------- result, mask: ndarray[bool] The result of the logical xor, and the new mask. """ if left_mask is None: return kleene_xor(right, left, right_mask, left_mask) raise_for_nan(right, method="xor") if right is libmissing.NA: result = np.zeros_like(left) else: result = left ^ right if right_mask is None: if right is libmissing.NA: mask = np.ones_like(left_mask) else: mask = left_mask.copy() else: mask = left_mask | right_mask return result, mask def kleene_and( left: Union[bool, libmissing.NAType, np.ndarray], right: Union[bool, libmissing.NAType, np.ndarray], left_mask: Optional[np.ndarray], right_mask: Optional[np.ndarray], ): """ Boolean ``and`` using Kleene logic. Values are ``NA`` for ``NA & NA`` or ``True & NA``. Parameters ---------- left, right : ndarray, NA, or bool The values of the array. left_mask, right_mask : ndarray, optional The masks. Only one of these may be None, which implies that the associated `left` or `right` value is a scalar. Returns ------- result, mask: ndarray[bool] The result of the logical xor, and the new mask. """ # To reduce the number of cases, we ensure that `left` & `left_mask` # always come from an array, not a scalar. This is safe, since because # A | B == B | A if left_mask is None: return kleene_and(right, left, right_mask, left_mask) assert isinstance(left, np.ndarray) raise_for_nan(right, method="and") if right is libmissing.NA: result = np.zeros_like(left) else: result = left & right if right_mask is None: # Scalar `right` if right is libmissing.NA: mask = (left & ~left_mask) | left_mask else: mask = left_mask.copy() if right is False: # unmask everything mask[:] = False else: # unmask where either left or right is False left_false = ~(left | left_mask) right_false = ~(right | right_mask) mask = (left_mask & ~right_false) | (right_mask & ~left_false) return result, mask def raise_for_nan(value, method): if lib.is_float(value) and np.isnan(value): raise ValueError(f"Cannot perform logical '{method}' with floating NaN")