""" Missing data handling for arithmetic operations. In particular, pandas conventions regarding division by zero differ from numpy in the following ways: 1) np.array([-1, 0, 1], dtype=dtype1) // np.array([0, 0, 0], dtype=dtype2) gives [nan, nan, nan] for most dtype combinations, and [0, 0, 0] for the remaining pairs (the remaining being dtype1==dtype2==intN and dtype==dtype2==uintN). pandas convention is to return [-inf, nan, inf] for all dtype combinations. Note: the numpy behavior described here is py3-specific. 2) np.array([-1, 0, 1], dtype=dtype1) % np.array([0, 0, 0], dtype=dtype2) gives precisely the same results as the // operation. pandas convention is to return [nan, nan, nan] for all dtype combinations. 3) divmod behavior consistent with 1) and 2). """ from __future__ import annotations import operator import numpy as np from pandas.core.dtypes.common import ( is_float_dtype, is_integer_dtype, is_scalar, ) from pandas.core.ops import roperator def _fill_zeros(result, x, y): """ If this is a reversed op, then flip x,y If we have an integer value (or array in y) and we have 0's, fill them with np.nan, return the result. Mask the nan's from x. """ if is_float_dtype(result.dtype): return result is_variable_type = hasattr(y, "dtype") is_scalar_type = is_scalar(y) if not is_variable_type and not is_scalar_type: return result if is_scalar_type: y = np.array(y) if is_integer_dtype(y.dtype): ymask = y == 0 if ymask.any(): # GH#7325, mask and nans must be broadcastable mask = ymask & ~np.isnan(result) # GH#9308 doing ravel on result and mask can improve putmask perf, # but can also make unwanted copies. result = result.astype("float64", copy=False) np.putmask(result, mask, np.nan) return result def mask_zero_div_zero(x, y, result: np.ndarray) -> np.ndarray: """ Set results of 0 // 0 to np.nan, regardless of the dtypes of the numerator or the denominator. Parameters ---------- x : ndarray y : ndarray result : ndarray Returns ------- ndarray The filled result. Examples -------- >>> x = np.array([1, 0, -1], dtype=np.int64) >>> x array([ 1, 0, -1]) >>> y = 0 # int 0; numpy behavior is different with float >>> result = x // y >>> result # raw numpy result does not fill division by zero array([0, 0, 0]) >>> mask_zero_div_zero(x, y, result) array([ inf, nan, -inf]) """ if not hasattr(y, "dtype"): # e.g. scalar, tuple y = np.array(y) if not hasattr(x, "dtype"): # e.g scalar, tuple x = np.array(x) zmask = y == 0 if zmask.any(): # Flip sign if necessary for -0.0 zneg_mask = zmask & np.signbit(y) zpos_mask = zmask & ~zneg_mask x_lt0 = x < 0 x_gt0 = x > 0 nan_mask = zmask & (x == 0) with np.errstate(invalid="ignore"): neginf_mask = (zpos_mask & x_lt0) | (zneg_mask & x_gt0) posinf_mask = (zpos_mask & x_gt0) | (zneg_mask & x_lt0) if nan_mask.any() or neginf_mask.any() or posinf_mask.any(): # Fill negative/0 with -inf, positive/0 with +inf, 0/0 with NaN result = result.astype("float64", copy=False) result[nan_mask] = np.nan result[posinf_mask] = np.inf result[neginf_mask] = -np.inf return result def dispatch_fill_zeros(op, left, right, result): """ Call _fill_zeros with the appropriate fill value depending on the operation, with special logic for divmod and rdivmod. Parameters ---------- op : function (operator.add, operator.div, ...) left : object (np.ndarray for non-reversed ops) right : object (np.ndarray for reversed ops) result : ndarray Returns ------- result : np.ndarray Notes ----- For divmod and rdivmod, the `result` parameter and returned `result` is a 2-tuple of ndarray objects. """ if op is divmod: result = ( mask_zero_div_zero(left, right, result[0]), _fill_zeros(result[1], left, right), ) elif op is roperator.rdivmod: result = ( mask_zero_div_zero(right, left, result[0]), _fill_zeros(result[1], right, left), ) elif op is operator.floordiv: # Note: no need to do this for truediv; in py3 numpy behaves the way # we want. result = mask_zero_div_zero(left, right, result) elif op is roperator.rfloordiv: # Note: no need to do this for rtruediv; in py3 numpy behaves the way # we want. result = mask_zero_div_zero(right, left, result) elif op is operator.mod: result = _fill_zeros(result, left, right) elif op is roperator.rmod: result = _fill_zeros(result, right, left) return result