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import numpy as np # Note: we use dtype objects instead of dtype classes. The spec does not # require any behavior on dtypes other than equality. int8 = np.dtype("int8") int16 = np.dtype("int16") int32 = np.dtype("int32") int64 = np.dtype("int64") uint8 = np.dtype("uint8") uint16 = np.dtype("uint16") uint32 = np.dtype("uint32") uint64 = np.dtype("uint64") float32 = np.dtype("float32") float64 = np.dtype("float64") complex64 = np.dtype("complex64") complex128 = np.dtype("complex128") # Note: This name is changed bool = np.dtype("bool") _all_dtypes = ( int8, int16, int32, int64, uint8, uint16, uint32, uint64, float32, float64, complex64, complex128, bool, ) _boolean_dtypes = (bool,) _real_floating_dtypes = (float32, float64) _floating_dtypes = (float32, float64, complex64, complex128) _complex_floating_dtypes = (complex64, complex128) _integer_dtypes = (int8, int16, int32, int64, uint8, uint16, uint32, uint64) _signed_integer_dtypes = (int8, int16, int32, int64) _unsigned_integer_dtypes = (uint8, uint16, uint32, uint64) _integer_or_boolean_dtypes = ( bool, int8, int16, int32, int64, uint8, uint16, uint32, uint64, ) _real_numeric_dtypes = ( float32, float64, int8, int16, int32, int64, uint8, uint16, uint32, uint64, ) _numeric_dtypes = ( float32, float64, complex64, complex128, int8, int16, int32, int64, uint8, uint16, uint32, uint64, ) _dtype_categories = { "all": _all_dtypes, "real numeric": _real_numeric_dtypes, "numeric": _numeric_dtypes, "integer": _integer_dtypes, "integer or boolean": _integer_or_boolean_dtypes, "boolean": _boolean_dtypes, "real floating-point": _floating_dtypes, "complex floating-point": _complex_floating_dtypes, "floating-point": _floating_dtypes, } # Note: the spec defines a restricted type promotion table compared to NumPy. # In particular, cross-kind promotions like integer + float or boolean + # integer are not allowed, even for functions that accept both kinds. # Additionally, NumPy promotes signed integer + uint64 to float64, but this # promotion is not allowed here. To be clear, Python scalar int objects are # allowed to promote to floating-point dtypes, but only in array operators # (see Array._promote_scalar) method in _array_object.py. _promotion_table = { (int8, int8): int8, (int8, int16): int16, (int8, int32): int32, (int8, int64): int64, (int16, int8): int16, (int16, int16): int16, (int16, int32): int32, (int16, int64): int64, (int32, int8): int32, (int32, int16): int32, (int32, int32): int32, (int32, int64): int64, (int64, int8): int64, (int64, int16): int64, (int64, int32): int64, (int64, int64): int64, (uint8, uint8): uint8, (uint8, uint16): uint16, (uint8, uint32): uint32, (uint8, uint64): uint64, (uint16, uint8): uint16, (uint16, uint16): uint16, (uint16, uint32): uint32, (uint16, uint64): uint64, (uint32, uint8): uint32, (uint32, uint16): uint32, (uint32, uint32): uint32, (uint32, uint64): uint64, (uint64, uint8): uint64, (uint64, uint16): uint64, (uint64, uint32): uint64, (uint64, uint64): uint64, (int8, uint8): int16, (int8, uint16): int32, (int8, uint32): int64, (int16, uint8): int16, (int16, uint16): int32, (int16, uint32): int64, (int32, uint8): int32, (int32, uint16): int32, (int32, uint32): int64, (int64, uint8): int64, (int64, uint16): int64, (int64, uint32): int64, (uint8, int8): int16, (uint16, int8): int32, (uint32, int8): int64, (uint8, int16): int16, (uint16, int16): int32, (uint32, int16): int64, (uint8, int32): int32, (uint16, int32): int32, (uint32, int32): int64, (uint8, int64): int64, (uint16, int64): int64, (uint32, int64): int64, (float32, float32): float32, (float32, float64): float64, (float64, float32): float64, (float64, float64): float64, (complex64, complex64): complex64, (complex64, complex128): complex128, (complex128, complex64): complex128, (complex128, complex128): complex128, (float32, complex64): complex64, (float32, complex128): complex128, (float64, complex64): complex128, (float64, complex128): complex128, (complex64, float32): complex64, (complex64, float64): complex128, (complex128, float32): complex128, (complex128, float64): complex128, (bool, bool): bool, } def _result_type(type1, type2): if (type1, type2) in _promotion_table: return _promotion_table[type1, type2] raise TypeError(f"{type1} and {type2} cannot be type promoted together")