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""" 

numerictypes: Define the numeric type objects 

 

This module is designed so "from numerictypes import \\*" is safe. 

Exported symbols include: 

 

Dictionary with all registered number types (including aliases): 

typeDict 

 

Type objects (not all will be available, depends on platform): 

see variable sctypes for which ones you have 

 

Bit-width names 

 

int8 int16 int32 int64 int128 

uint8 uint16 uint32 uint64 uint128 

float16 float32 float64 float96 float128 float256 

complex32 complex64 complex128 complex192 complex256 complex512 

datetime64 timedelta64 

 

c-based names 

 

bool_ 

 

object_ 

 

void, str_, unicode_ 

 

byte, ubyte, 

short, ushort 

intc, uintc, 

intp, uintp, 

int_, uint, 

longlong, ulonglong, 

 

single, csingle, 

float_, complex_, 

longfloat, clongfloat, 

 

As part of the type-hierarchy: xx -- is bit-width 

 

generic 

+-> bool_ (kind=b) 

+-> number 

| +-> integer 

| | +-> signedinteger (intxx) (kind=i) 

| | | byte 

| | | short 

| | | intc 

| | | intp int0 

| | | int_ 

| | | longlong 

| | \\-> unsignedinteger (uintxx) (kind=u) 

| | ubyte 

| | ushort 

| | uintc 

| | uintp uint0 

| | uint_ 

| | ulonglong 

| +-> inexact 

| +-> floating (floatxx) (kind=f) 

| | half 

| | single 

| | float_ (double) 

| | longfloat 

| \\-> complexfloating (complexxx) (kind=c) 

| csingle (singlecomplex) 

| complex_ (cfloat, cdouble) 

| clongfloat (longcomplex) 

+-> flexible 

| +-> character 

| | str_ (string_, bytes_) (kind=S) [Python 2] 

| | unicode_ (kind=U) [Python 2] 

| | 

| | bytes_ (string_) (kind=S) [Python 3] 

| | str_ (unicode_) (kind=U) [Python 3] 

| | 

| \\-> void (kind=V) 

\\-> object_ (not used much) (kind=O) 

 

""" 

from __future__ import division, absolute_import, print_function 

 

import types as _types 

import sys 

import numbers 

import warnings 

 

from numpy.compat import bytes, long 

from numpy.core.multiarray import ( 

typeinfo, ndarray, array, empty, dtype, datetime_data, 

datetime_as_string, busday_offset, busday_count, is_busday, 

busdaycalendar 

) 

from numpy.core.overrides import set_module 

 

# we add more at the bottom 

__all__ = ['sctypeDict', 'sctypeNA', 'typeDict', 'typeNA', 'sctypes', 

'ScalarType', 'obj2sctype', 'cast', 'nbytes', 'sctype2char', 

'maximum_sctype', 'issctype', 'typecodes', 'find_common_type', 

'issubdtype', 'datetime_data', 'datetime_as_string', 

'busday_offset', 'busday_count', 'is_busday', 'busdaycalendar', 

] 

 

# we don't need all these imports, but we need to keep them for compatibility 

# for users using np.core.numerictypes.UPPER_TABLE 

from ._string_helpers import ( 

english_lower, english_upper, english_capitalize, LOWER_TABLE, UPPER_TABLE 

) 

 

from ._type_aliases import ( 

sctypeDict, 

sctypeNA, 

allTypes, 

bitname, 

sctypes, 

_concrete_types, 

_concrete_typeinfo, 

_bits_of, 

) 

from ._dtype import _kind_name 

 

# we don't export these for import *, but we do want them accessible 

# as numerictypes.bool, etc. 

if sys.version_info[0] >= 3: 

from builtins import bool, int, float, complex, object, str 

unicode = str 

else: 

from __builtin__ import bool, int, float, complex, object, unicode, str 

 

 

# We use this later 

generic = allTypes['generic'] 

 

genericTypeRank = ['bool', 'int8', 'uint8', 'int16', 'uint16', 

'int32', 'uint32', 'int64', 'uint64', 'int128', 

'uint128', 'float16', 

'float32', 'float64', 'float80', 'float96', 'float128', 

'float256', 

'complex32', 'complex64', 'complex128', 'complex160', 

'complex192', 'complex256', 'complex512', 'object'] 

 

def maximum_sctype(t): 

""" 

Return the scalar type of highest precision of the same kind as the input. 

 

Parameters 

---------- 

t : dtype or dtype specifier 

The input data type. This can be a `dtype` object or an object that 

is convertible to a `dtype`. 

 

Returns 

------- 

out : dtype 

The highest precision data type of the same kind (`dtype.kind`) as `t`. 

 

See Also 

-------- 

obj2sctype, mintypecode, sctype2char 

dtype 

 

Examples 

-------- 

>>> np.maximum_sctype(int) 

<type 'numpy.int64'> 

>>> np.maximum_sctype(np.uint8) 

<type 'numpy.uint64'> 

>>> np.maximum_sctype(complex) 

<type 'numpy.complex192'> 

 

>>> np.maximum_sctype(str) 

<type 'numpy.string_'> 

 

>>> np.maximum_sctype('i2') 

<type 'numpy.int64'> 

>>> np.maximum_sctype('f4') 

<type 'numpy.float96'> 

 

""" 

g = obj2sctype(t) 

if g is None: 

return t 

t = g 

base = _kind_name(dtype(t)) 

if base in sctypes: 

return sctypes[base][-1] 

else: 

return t 

 

 

@set_module('numpy') 

def issctype(rep): 

""" 

Determines whether the given object represents a scalar data-type. 

 

Parameters 

---------- 

rep : any 

If `rep` is an instance of a scalar dtype, True is returned. If not, 

False is returned. 

 

Returns 

------- 

out : bool 

Boolean result of check whether `rep` is a scalar dtype. 

 

See Also 

-------- 

issubsctype, issubdtype, obj2sctype, sctype2char 

 

Examples 

-------- 

>>> np.issctype(np.int32) 

True 

>>> np.issctype(list) 

False 

>>> np.issctype(1.1) 

False 

 

Strings are also a scalar type: 

 

>>> np.issctype(np.dtype('str')) 

True 

 

""" 

if not isinstance(rep, (type, dtype)): 

return False 

try: 

res = obj2sctype(rep) 

if res and res != object_: 

return True 

return False 

except Exception: 

return False 

 

 

@set_module('numpy') 

def obj2sctype(rep, default=None): 

""" 

Return the scalar dtype or NumPy equivalent of Python type of an object. 

 

Parameters 

---------- 

rep : any 

The object of which the type is returned. 

default : any, optional 

If given, this is returned for objects whose types can not be 

determined. If not given, None is returned for those objects. 

 

Returns 

------- 

dtype : dtype or Python type 

The data type of `rep`. 

 

See Also 

-------- 

sctype2char, issctype, issubsctype, issubdtype, maximum_sctype 

 

Examples 

-------- 

>>> np.obj2sctype(np.int32) 

<type 'numpy.int32'> 

>>> np.obj2sctype(np.array([1., 2.])) 

<type 'numpy.float64'> 

>>> np.obj2sctype(np.array([1.j])) 

<type 'numpy.complex128'> 

 

>>> np.obj2sctype(dict) 

<type 'numpy.object_'> 

>>> np.obj2sctype('string') 

<type 'numpy.string_'> 

 

>>> np.obj2sctype(1, default=list) 

<type 'list'> 

 

""" 

# prevent abtract classes being upcast 

if isinstance(rep, type) and issubclass(rep, generic): 

return rep 

# extract dtype from arrays 

if isinstance(rep, ndarray): 

return rep.dtype.type 

# fall back on dtype to convert 

try: 

res = dtype(rep) 

except Exception: 

return default 

else: 

return res.type 

 

 

@set_module('numpy') 

def issubclass_(arg1, arg2): 

""" 

Determine if a class is a subclass of a second class. 

 

`issubclass_` is equivalent to the Python built-in ``issubclass``, 

except that it returns False instead of raising a TypeError if one 

of the arguments is not a class. 

 

Parameters 

---------- 

arg1 : class 

Input class. True is returned if `arg1` is a subclass of `arg2`. 

arg2 : class or tuple of classes. 

Input class. If a tuple of classes, True is returned if `arg1` is a 

subclass of any of the tuple elements. 

 

Returns 

------- 

out : bool 

Whether `arg1` is a subclass of `arg2` or not. 

 

See Also 

-------- 

issubsctype, issubdtype, issctype 

 

Examples 

-------- 

>>> np.issubclass_(np.int32, int) 

True 

>>> np.issubclass_(np.int32, float) 

False 

 

""" 

try: 

return issubclass(arg1, arg2) 

except TypeError: 

return False 

 

 

@set_module('numpy') 

def issubsctype(arg1, arg2): 

""" 

Determine if the first argument is a subclass of the second argument. 

 

Parameters 

---------- 

arg1, arg2 : dtype or dtype specifier 

Data-types. 

 

Returns 

------- 

out : bool 

The result. 

 

See Also 

-------- 

issctype, issubdtype,obj2sctype 

 

Examples 

-------- 

>>> np.issubsctype('S8', str) 

True 

>>> np.issubsctype(np.array([1]), int) 

True 

>>> np.issubsctype(np.array([1]), float) 

False 

 

""" 

return issubclass(obj2sctype(arg1), obj2sctype(arg2)) 

 

 

@set_module('numpy') 

def issubdtype(arg1, arg2): 

""" 

Returns True if first argument is a typecode lower/equal in type hierarchy. 

 

Parameters 

---------- 

arg1, arg2 : dtype_like 

dtype or string representing a typecode. 

 

Returns 

------- 

out : bool 

 

See Also 

-------- 

issubsctype, issubclass_ 

numpy.core.numerictypes : Overview of numpy type hierarchy. 

 

Examples 

-------- 

>>> np.issubdtype('S1', np.string_) 

True 

>>> np.issubdtype(np.float64, np.float32) 

False 

 

""" 

if not issubclass_(arg1, generic): 

arg1 = dtype(arg1).type 

if not issubclass_(arg2, generic): 

arg2_orig = arg2 

arg2 = dtype(arg2).type 

if not isinstance(arg2_orig, dtype): 

# weird deprecated behaviour, that tried to infer np.floating from 

# float, and similar less obvious things, such as np.generic from 

# basestring 

mro = arg2.mro() 

arg2 = mro[1] if len(mro) > 1 else mro[0] 

 

def type_repr(x): 

""" Helper to produce clear error messages """ 

if not isinstance(x, type): 

return repr(x) 

elif issubclass(x, generic): 

return "np.{}".format(x.__name__) 

else: 

return x.__name__ 

 

# 1.14, 2017-08-01 

warnings.warn( 

"Conversion of the second argument of issubdtype from `{raw}` " 

"to `{abstract}` is deprecated. In future, it will be treated " 

"as `{concrete} == np.dtype({raw}).type`.".format( 

raw=type_repr(arg2_orig), 

abstract=type_repr(arg2), 

concrete=type_repr(dtype(arg2_orig).type) 

), 

FutureWarning, stacklevel=2 

) 

 

return issubclass(arg1, arg2) 

 

 

# This dictionary allows look up based on any alias for an array data-type 

class _typedict(dict): 

""" 

Base object for a dictionary for look-up with any alias for an array dtype. 

 

Instances of `_typedict` can not be used as dictionaries directly, 

first they have to be populated. 

 

""" 

 

def __getitem__(self, obj): 

return dict.__getitem__(self, obj2sctype(obj)) 

 

nbytes = _typedict() 

_alignment = _typedict() 

_maxvals = _typedict() 

_minvals = _typedict() 

def _construct_lookups(): 

for name, info in _concrete_typeinfo.items(): 

obj = info.type 

nbytes[obj] = info.bits // 8 

_alignment[obj] = info.alignment 

if len(info) > 5: 

_maxvals[obj] = info.max 

_minvals[obj] = info.min 

else: 

_maxvals[obj] = None 

_minvals[obj] = None 

 

_construct_lookups() 

 

 

@set_module('numpy') 

def sctype2char(sctype): 

""" 

Return the string representation of a scalar dtype. 

 

Parameters 

---------- 

sctype : scalar dtype or object 

If a scalar dtype, the corresponding string character is 

returned. If an object, `sctype2char` tries to infer its scalar type 

and then return the corresponding string character. 

 

Returns 

------- 

typechar : str 

The string character corresponding to the scalar type. 

 

Raises 

------ 

ValueError 

If `sctype` is an object for which the type can not be inferred. 

 

See Also 

-------- 

obj2sctype, issctype, issubsctype, mintypecode 

 

Examples 

-------- 

>>> for sctype in [np.int32, float, complex, np.string_, np.ndarray]: 

... print(np.sctype2char(sctype)) 

l 

d 

D 

S 

O 

 

>>> x = np.array([1., 2-1.j]) 

>>> np.sctype2char(x) 

'D' 

>>> np.sctype2char(list) 

'O' 

 

""" 

sctype = obj2sctype(sctype) 

if sctype is None: 

raise ValueError("unrecognized type") 

if sctype not in _concrete_types: 

# for compatibility 

raise KeyError(sctype) 

return dtype(sctype).char 

 

# Create dictionary of casting functions that wrap sequences 

# indexed by type or type character 

cast = _typedict() 

for key in _concrete_types: 

cast[key] = lambda x, k=key: array(x, copy=False).astype(k) 

 

try: 

ScalarType = [_types.IntType, _types.FloatType, _types.ComplexType, 

_types.LongType, _types.BooleanType, 

_types.StringType, _types.UnicodeType, _types.BufferType] 

except AttributeError: 

# Py3K 

ScalarType = [int, float, complex, int, bool, bytes, str, memoryview] 

 

ScalarType.extend(_concrete_types) 

ScalarType = tuple(ScalarType) 

 

 

# Now add the types we've determined to this module 

for key in allTypes: 

globals()[key] = allTypes[key] 

__all__.append(key) 

 

del key 

 

typecodes = {'Character':'c', 

'Integer':'bhilqp', 

'UnsignedInteger':'BHILQP', 

'Float':'efdg', 

'Complex':'FDG', 

'AllInteger':'bBhHiIlLqQpP', 

'AllFloat':'efdgFDG', 

'Datetime': 'Mm', 

'All':'?bhilqpBHILQPefdgFDGSUVOMm'} 

 

# backwards compatibility --- deprecated name 

typeDict = sctypeDict 

typeNA = sctypeNA 

 

# b -> boolean 

# u -> unsigned integer 

# i -> signed integer 

# f -> floating point 

# c -> complex 

# M -> datetime 

# m -> timedelta 

# S -> string 

# U -> Unicode string 

# V -> record 

# O -> Python object 

_kind_list = ['b', 'u', 'i', 'f', 'c', 'S', 'U', 'V', 'O', 'M', 'm'] 

 

__test_types = '?'+typecodes['AllInteger'][:-2]+typecodes['AllFloat']+'O' 

__len_test_types = len(__test_types) 

 

# Keep incrementing until a common type both can be coerced to 

# is found. Otherwise, return None 

def _find_common_coerce(a, b): 

if a > b: 

return a 

try: 

thisind = __test_types.index(a.char) 

except ValueError: 

return None 

return _can_coerce_all([a, b], start=thisind) 

 

# Find a data-type that all data-types in a list can be coerced to 

def _can_coerce_all(dtypelist, start=0): 

N = len(dtypelist) 

if N == 0: 

return None 

if N == 1: 

return dtypelist[0] 

thisind = start 

while thisind < __len_test_types: 

newdtype = dtype(__test_types[thisind]) 

numcoerce = len([x for x in dtypelist if newdtype >= x]) 

if numcoerce == N: 

return newdtype 

thisind += 1 

return None 

 

def _register_types(): 

numbers.Integral.register(integer) 

numbers.Complex.register(inexact) 

numbers.Real.register(floating) 

numbers.Number.register(number) 

 

_register_types() 

 

 

@set_module('numpy') 

def find_common_type(array_types, scalar_types): 

""" 

Determine common type following standard coercion rules. 

 

Parameters 

---------- 

array_types : sequence 

A list of dtypes or dtype convertible objects representing arrays. 

scalar_types : sequence 

A list of dtypes or dtype convertible objects representing scalars. 

 

Returns 

------- 

datatype : dtype 

The common data type, which is the maximum of `array_types` ignoring 

`scalar_types`, unless the maximum of `scalar_types` is of a 

different kind (`dtype.kind`). If the kind is not understood, then 

None is returned. 

 

See Also 

-------- 

dtype, common_type, can_cast, mintypecode 

 

Examples 

-------- 

>>> np.find_common_type([], [np.int64, np.float32, complex]) 

dtype('complex128') 

>>> np.find_common_type([np.int64, np.float32], []) 

dtype('float64') 

 

The standard casting rules ensure that a scalar cannot up-cast an 

array unless the scalar is of a fundamentally different kind of data 

(i.e. under a different hierarchy in the data type hierarchy) then 

the array: 

 

>>> np.find_common_type([np.float32], [np.int64, np.float64]) 

dtype('float32') 

 

Complex is of a different type, so it up-casts the float in the 

`array_types` argument: 

 

>>> np.find_common_type([np.float32], [complex]) 

dtype('complex128') 

 

Type specifier strings are convertible to dtypes and can therefore 

be used instead of dtypes: 

 

>>> np.find_common_type(['f4', 'f4', 'i4'], ['c8']) 

dtype('complex128') 

 

""" 

array_types = [dtype(x) for x in array_types] 

scalar_types = [dtype(x) for x in scalar_types] 

 

maxa = _can_coerce_all(array_types) 

maxsc = _can_coerce_all(scalar_types) 

 

if maxa is None: 

return maxsc 

 

if maxsc is None: 

return maxa 

 

try: 

index_a = _kind_list.index(maxa.kind) 

index_sc = _kind_list.index(maxsc.kind) 

except ValueError: 

return None 

 

if index_sc > index_a: 

return _find_common_coerce(maxsc, maxa) 

else: 

return maxa