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'''This module implements specialized container datatypes providing
alternatives to Python's general purpose built-in containers, dict,
list, set, and tuple.
* namedtuple factory function for creating tuple subclasses with named fields
* deque list-like container with fast appends and pops on either end
* ChainMap dict-like class for creating a single view of multiple mappings
* Counter dict subclass for counting hashable objects
* OrderedDict dict subclass that remembers the order entries were added
* defaultdict dict subclass that calls a factory function to supply missing values
* UserDict wrapper around dictionary objects for easier dict subclassing
* UserList wrapper around list objects for easier list subclassing
* UserString wrapper around string objects for easier string subclassing
'''
__all__
=
[
'deque'
,
'defaultdict'
,
'namedtuple'
,
'UserDict'
,
'UserList'
,
'UserString'
,
'Counter'
,
'OrderedDict'
,
'ChainMap'
]
# For backwards compatibility, continue to make the collections ABCs
# available through the collections module.
from
_collections_abc
import
*
import
_collections_abc
__all__
+=
_collections_abc
.
__all__
from
operator
import
itemgetter
as
_itemgetter
,
eq
as
_eq
from
keyword
import
iskeyword
as
_iskeyword
import
sys
as
_sys
import
heapq
as
_heapq
from
_weakref
import
proxy
as
_proxy
from
itertools
import
repeat
as
_repeat
,
chain
as
_chain
,
starmap
as
_starmap
from
reprlib
import
recursive_repr
as
_recursive_repr
try
:
from
_collections
import
deque
except
ImportError
:
pass
else
:
MutableSequence
.
register
(
deque
)
try
:
from
_collections
import
defaultdict
except
ImportError
:
pass
################################################################################
### OrderedDict
################################################################################
class
_OrderedDictKeysView
(
KeysView
):
def
__reversed__
(
self
):
yield
from
reversed
(
self
.
_mapping
)
class
_OrderedDictItemsView
(
ItemsView
):
def
__reversed__
(
self
):
for
key
in
reversed
(
self
.
_mapping
):
yield
(
key
,
self
.
_mapping
[
key
])
class
_OrderedDictValuesView
(
ValuesView
):
def
__reversed__
(
self
):
for
key
in
reversed
(
self
.
_mapping
):
yield
self
.
_mapping
[
key
]
class
_Link
(
object
):
__slots__
=
'prev'
,
'next'
,
'key'
,
'__weakref__'
class
OrderedDict
(
dict
):
'Dictionary that remembers insertion order'
# An inherited dict maps keys to values.
# The inherited dict provides __getitem__, __len__, __contains__, and get.
# The remaining methods are order-aware.
# Big-O running times for all methods are the same as regular dictionaries.
# The internal self.__map dict maps keys to links in a doubly linked list.
# The circular doubly linked list starts and ends with a sentinel element.
# The sentinel element never gets deleted (this simplifies the algorithm).
# The sentinel is in self.__hardroot with a weakref proxy in self.__root.
# The prev links are weakref proxies (to prevent circular references).
# Individual links are kept alive by the hard reference in self.__map.
# Those hard references disappear when a key is deleted from an OrderedDict.
def
__init__
(
*
args
,
**
kwds
):
'''Initialize an ordered dictionary. The signature is the same as
regular dictionaries, but keyword arguments are not recommended because
their insertion order is arbitrary.
'''
if
not
args
:
raise
TypeError
(
"descriptor '__init__' of 'OrderedDict' object "
"needs an argument"
)
self
,
*
args
=
args
if
len
(
args
)
>
1
:
raise
TypeError
(
'expected at most 1 arguments, got %d'
%
len
(
args
))
try
:
self
.
__root
except
AttributeError
:
self
.
__hardroot
=
_Link
()
self
.
__root
=
root
=
_proxy
(
self
.
__hardroot
)
root
.
prev
=
root
.
next
=
root
self
.
__map
=
{}
self
.
__update
(
*
args
,
**
kwds
)
def
__setitem__
(
self
,
key
,
value
,
dict_setitem
=
dict
.
__setitem__
,
proxy
=
_proxy
,
Link
=
_Link
):
'od.__setitem__(i, y) <==> od[i]=y'
# Setting a new item creates a new link at the end of the linked list,
# and the inherited dictionary is updated with the new key/value pair.
if
key
not
in
self
:
self
.
__map
[
key
]
=
link
=
Link
()
root
=
self
.
__root
last
=
root
.
prev
link
.
prev
,
link
.
next
,
link
.
key
=
last
,
root
,
key
last
.
next
=
link
root
.
prev
=
proxy
(
link
)
dict_setitem
(
self
,
key
,
value
)
def
__delitem__
(
self
,
key
,
dict_delitem
=
dict
.
__delitem__
):
'od.__delitem__(y) <==> del od[y]'
# Deleting an existing item uses self.__map to find the link which gets
# removed by updating the links in the predecessor and successor nodes.
dict_delitem
(
self
,
key
)
link
=
self
.
__map
.
pop
(
key
)
link_prev
=
link
.
prev
link_next
=
link
.
next
link_prev
.
next
=
link_next
link_next
.
prev
=
link_prev
link
.
prev
=
None
link
.
next
=
None
def
__iter__
(
self
):
'od.__iter__() <==> iter(od)'
# Traverse the linked list in order.
root
=
self
.
__root
curr
=
root
.
next
while
curr
is
not
root
:
yield
curr
.
key
curr
=
curr
.
next
def
__reversed__
(
self
):
'od.__reversed__() <==> reversed(od)'
# Traverse the linked list in reverse order.
root
=
self
.
__root
curr
=
root
.
prev
while
curr
is
not
root
:
yield
curr
.
key
curr
=
curr
.
prev
def
clear
(
self
):
'od.clear() -> None. Remove all items from od.'
root
=
self
.
__root
root
.
prev
=
root
.
next
=
root
self
.
__map
.
clear
()
dict
.
clear
(
self
)
def
popitem
(
self
,
last
=
True
):
'''od.popitem() -> (k, v), return and remove a (key, value) pair.
Pairs are returned in LIFO order if last is true or FIFO order if false.
'''
if
not
self
:
raise
KeyError
(
'dictionary is empty'
)
root
=
self
.
__root
if
last
:
link
=
root
.
prev
link_prev
=
link
.
prev
link_prev
.
next
=
root
root
.
prev
=
link_prev
else
:
link
=
root
.
next
link_next
=
link
.
next
root
.
next
=
link_next
link_next
.
prev
=
root
key
=
link
.
key
del
self
.
__map
[
key
]
value
=
dict
.
pop
(
self
,
key
)
return
key
,
value
def
move_to_end
(
self
,
key
,
last
=
True
):
'''Move an existing element to the end (or beginning if last==False).
Raises KeyError if the element does not exist.
When last=True, acts like a fast version of self[key]=self.pop(key).
'''
link
=
self
.
__map
[
key
]
link_prev
=
link
.
prev
link_next
=
link
.
next
soft_link
=
link_next
.
prev
link_prev
.
next
=
link_next
link_next
.
prev
=
link_prev
root
=
self
.
__root
if
last
:
last
=
root
.
prev
link
.
prev
=
last
link
.
next
=
root
root
.
prev
=
soft_link
last
.
next
=
link
else
:
first
=
root
.
next
link
.
prev
=
root
link
.
next
=
first
first
.
prev
=
soft_link
root
.
next
=
link
def
__sizeof__
(
self
):
sizeof
=
_sys
.
getsizeof
n
=
len
(
self
)
+
1
# number of links including root
size
=
sizeof
(
self
.
__dict__
)
# instance dictionary
size
+=
sizeof
(
self
.
__map
)
*
2
# internal dict and inherited dict
size
+=
sizeof
(
self
.
__hardroot
)
*
n
# link objects
size
+=
sizeof
(
self
.
__root
)
*
n
# proxy objects
return
size
update
=
__update
=
MutableMapping
.
update
def
keys
(
self
):
"D.keys() -> a set-like object providing a view on D's keys"
return
_OrderedDictKeysView
(
self
)
def
items
(
self
):
"D.items() -> a set-like object providing a view on D's items"
return
_OrderedDictItemsView
(
self
)
def
values
(
self
):
"D.values() -> an object providing a view on D's values"
return
_OrderedDictValuesView
(
self
)
__ne__
=
MutableMapping
.
__ne__
__marker
=
object
()
def
pop
(
self
,
key
,
default
=
__marker
):
'''od.pop(k[,d]) -> v, remove specified key and return the corresponding
value. If key is not found, d is returned if given, otherwise KeyError
is raised.
'''
if
key
in
self
:
result
=
self
[
key
]
del
self
[
key
]
return
result
if
default
is
self
.
__marker
:
raise
KeyError
(
key
)
return
default
def
setdefault
(
self
,
key
,
default
=
None
):
'od.setdefault(k[,d]) -> od.get(k,d), also set od[k]=d if k not in od'
if
key
in
self
:
return
self
[
key
]
self
[
key
]
=
default
return
default
@
_recursive_repr
()
def
__repr__
(
self
):
'od.__repr__() <==> repr(od)'
if
not
self
:
return
'%s()'
%
(
self
.
__class__
.
__name__
,)
return
'%s(%r)'
%
(
self
.
__class__
.
__name__
,
list
(
self
.
items
()))
def
__reduce__
(
self
):
'Return state information for pickling'
inst_dict
=
vars
(
self
).
copy
()
for
k
in
vars
(
OrderedDict
()):
inst_dict
.
pop
(
k
,
None
)
return
self
.
__class__
, (),
inst_dict
or
None
,
None
,
iter
(
self
.
items
())
def
copy
(
self
):
'od.copy() -> a shallow copy of od'
return
self
.
__class__
(
self
)
@
classmethod
def
fromkeys
(
cls
,
iterable
,
value
=
None
):
'''OD.fromkeys(S[, v]) -> New ordered dictionary with keys from S.
If not specified, the value defaults to None.
'''
self
=
cls
()
for
key
in
iterable
:
self
[
key
]
=
value
return
self
def
__eq__
(
self
,
other
):
'''od.__eq__(y) <==> od==y. Comparison to another OD is order-sensitive
while comparison to a regular mapping is order-insensitive.
'''
if
isinstance
(
other
,
OrderedDict
):
return
dict
.
__eq__
(
self
,
other
)
and
all
(
map
(
_eq
,
self
,
other
))
return
dict
.
__eq__
(
self
,
other
)
try
:
from
_collections
import
OrderedDict
except
ImportError
:
# Leave the pure Python version in place.
pass
################################################################################
### namedtuple
################################################################################
_class_template
=
"""
\
from builtins import property as _property, tuple as _tuple
from operator import itemgetter as _itemgetter
from collections import OrderedDict
class {typename}(tuple):
'{typename}({arg_list})'
__slots__ = ()
_fields = {field_names!r}
def __new__(_cls, {arg_list}):
'Create new instance of {typename}({arg_list})'
return _tuple.__new__(_cls, ({arg_list}))
@classmethod
def _make(cls, iterable, new=tuple.__new__, len=len):
'Make a new {typename} object from a sequence or iterable'
result = new(cls, iterable)
if len(result) != {num_fields:d}:
raise TypeError('Expected {num_fields:d} arguments, got %d' % len(result))
return result
def _replace(_self, **kwds):
'Return a new {typename} object replacing specified fields with new values'
result = _self._make(map(kwds.pop, {field_names!r}, _self))
if kwds:
raise ValueError('Got unexpected field names: %r' % list(kwds))
return result
def __repr__(self):
'Return a nicely formatted representation string'
return self.__class__.__name__ + '({repr_fmt})' % self
def _asdict(self):
'Return a new OrderedDict which maps field names to their values.'
return OrderedDict(zip(self._fields, self))
def __getnewargs__(self):
'Return self as a plain tuple. Used by copy and pickle.'
return tuple(self)
{field_defs}
"""
_repr_template
=
'{name}=%r'
_field_template
=
'''
\
{name} = _property(_itemgetter({index:d}), doc='Alias for field number {index:d}')
'''
def
namedtuple
(
typename
,
field_names
,
verbose
=
False
,
rename
=
False
):
"""Returns a new subclass of tuple with named fields.
>>> Point = namedtuple('Point', ['x', 'y'])
>>> Point.__doc__ # docstring for the new class
'Point(x, y)'
>>> p = Point(11, y=22) # instantiate with positional args or keywords
>>> p[0] + p[1] # indexable like a plain tuple
33
>>> x, y = p # unpack like a regular tuple
>>> x, y
(11, 22)
>>> p.x + p.y # fields also accessible by name
33
>>> d = p._asdict() # convert to a dictionary
>>> d['x']
11
>>> Point(**d) # convert from a dictionary
Point(x=11, y=22)
>>> p._replace(x=100) # _replace() is like str.replace() but targets named fields
Point(x=100, y=22)
"""
# Validate the field names. At the user's option, either generate an error
# message or automatically replace the field name with a valid name.
if
isinstance
(
field_names
,
str
):
field_names
=
field_names
.
replace
(
','
,
' '
).
split
()
field_names
=
list
(
map
(
str
,
field_names
))
typename
=
str
(
typename
)
if
rename
:
seen
=
set
()
for
index
,
name
in
enumerate
(
field_names
):
if
(
not
name
.
isidentifier
()
or
_iskeyword
(
name
)
or
name
.
startswith
(
'_'
)
or
name
in
seen
):
field_names
[
index
]
=
'_%d'
%
index
seen
.
add
(
name
)
for
name
in
[
typename
]
+
field_names
:
if
type
(
name
)
!=
str
:
raise
TypeError
(
'Type names and field names must be strings'
)
if
not
name
.
isidentifier
():
raise
ValueError
(
'Type names and field names must be valid '
'identifiers: %r'
%
name
)
if
_iskeyword
(
name
):
raise
ValueError
(
'Type names and field names cannot be a '
'keyword: %r'
%
name
)
seen
=
set
()
for
name
in
field_names
:
if
name
.
startswith
(
'_'
)
and
not
rename
:
raise
ValueError
(
'Field names cannot start with an underscore: '
'%r'
%
name
)
if
name
in
seen
:
raise
ValueError
(
'Encountered duplicate field name: %r'
%
name
)
seen
.
add
(
name
)
# Fill-in the class template
class_definition
=
_class_template
.
format
(
typename
=
typename
,
field_names
=
tuple
(
field_names
),
num_fields
=
len
(
field_names
),
arg_list
=
repr
(
tuple
(
field_names
)).
replace
(
"'"
,
""
)[
1
:
-
1
],
repr_fmt
=
', '
.
join
(
_repr_template
.
format
(
name
=
name
)
for
name
in
field_names
),
field_defs
=
'
\n
'
.
join
(
_field_template
.
format
(
index
=
index
,
name
=
name
)
for
index
,
name
in
enumerate
(
field_names
))
)
# Execute the template string in a temporary namespace and support
# tracing utilities by setting a value for frame.f_globals['__name__']
namespace
=
dict
(
__name__
=
'namedtuple_%s'
%
typename
)
exec
(
class_definition
,
namespace
)
result
=
namespace
[
typename
]
result
.
_source
=
class_definition
if
verbose
:
print
(
result
.
_source
)
# For pickling to work, the __module__ variable needs to be set to the frame
# where the named tuple is created. Bypass this step in environments where
# sys._getframe is not defined (Jython for example) or sys._getframe is not
# defined for arguments greater than 0 (IronPython).
try
:
result
.
__module__
=
_sys
.
_getframe
(
1
).
f_globals
.
get
(
'__name__'
,
'__main__'
)
except
(
AttributeError
,
ValueError
):
pass
return
result
########################################################################
### Counter
########################################################################
def
_count_elements
(
mapping
,
iterable
):
'Tally elements from the iterable.'
mapping_get
=
mapping
.
get
for
elem
in
iterable
:
mapping
[
elem
]
=
mapping_get
(
elem
,
0
)
+
1
try
:
# Load C helper function if available
from
_collections
import
_count_elements
except
ImportError
:
pass
class
Counter
(
dict
):
'''Dict subclass for counting hashable items. Sometimes called a bag
or multiset. Elements are stored as dictionary keys and their counts
are stored as dictionary values.
>>> c = Counter('abcdeabcdabcaba') # count elements from a string
>>> c.most_common(3) # three most common elements
[('a', 5), ('b', 4), ('c', 3)]
>>> sorted(c) # list all unique elements
['a', 'b', 'c', 'd', 'e']
>>> ''.join(sorted(c.elements())) # list elements with repetitions
'aaaaabbbbcccdde'
>>> sum(c.values()) # total of all counts
15
>>> c['a'] # count of letter 'a'
5
>>> for elem in 'shazam': # update counts from an iterable
... c[elem] += 1 # by adding 1 to each element's count
>>> c['a'] # now there are seven 'a'
7
>>> del c['b'] # remove all 'b'
>>> c['b'] # now there are zero 'b'
0
>>> d = Counter('simsalabim') # make another counter
>>> c.update(d) # add in the second counter
>>> c['a'] # now there are nine 'a'
9
>>> c.clear() # empty the counter
>>> c
Counter()
Note: If a count is set to zero or reduced to zero, it will remain
in the counter until the entry is deleted or the counter is cleared:
>>> c = Counter('aaabbc')
>>> c['b'] -= 2 # reduce the count of 'b' by two
>>> c.most_common() # 'b' is still in, but its count is zero
[('a', 3), ('c', 1), ('b', 0)]
'''
# References:
# http://en.wikipedia.org/wiki/Multiset
# http://www.gnu.org/software/smalltalk/manual-base/html_node/Bag.html
# http://www.demo2s.com/Tutorial/Cpp/0380__set-multiset/Catalog0380__set-multiset.htm
# http://code.activestate.com/recipes/259174/
# Knuth, TAOCP Vol. II section 4.6.3
def
__init__
(
*
args
,
**
kwds
):
'''Create a new, empty Counter object. And if given, count elements
from an input iterable. Or, initialize the count from another mapping
of elements to their counts.
>>> c = Counter() # a new, empty counter
>>> c = Counter('gallahad') # a new counter from an iterable
>>> c = Counter({'a': 4, 'b': 2}) # a new counter from a mapping
>>> c = Counter(a=4, b=2) # a new counter from keyword args
'''
if
not
args
:
raise
TypeError
(
"descriptor '__init__' of 'Counter' object "
"needs an argument"
)
self
,
*
args
=
args
if
len
(
args
)
>
1
:
raise
TypeError
(
'expected at most 1 arguments, got %d'
%
len
(
args
))
super
(
Counter
,
self
).
__init__
()
self
.
update
(
*
args
,
**
kwds
)
def
__missing__
(
self
,
key
):
'The count of elements not in the Counter is zero.'
# Needed so that self[missing_item] does not raise KeyError
return
0
def
most_common
(
self
,
n
=
None
):
'''List the n most common elements and their counts from the most
common to the least. If n is None, then list all element counts.
>>> Counter('abcdeabcdabcaba').most_common(3)
[('a', 5), ('b', 4), ('c', 3)]
'''
# Emulate Bag.sortedByCount from Smalltalk
if
n
is
None
:
return
sorted
(
self
.
items
(),
key
=
_itemgetter
(
1
),
reverse
=
True
)
return
_heapq
.
nlargest
(
n
,
self
.
items
(),
key
=
_itemgetter
(
1
))
def
elements
(
self
):
'''Iterator over elements repeating each as many times as its count.
>>> c = Counter('ABCABC')
>>> sorted(c.elements())
['A', 'A', 'B', 'B', 'C', 'C']
# Knuth's example for prime factors of 1836: 2**2 * 3**3 * 17**1
>>> prime_factors = Counter({2: 2, 3: 3, 17: 1})
>>> product = 1
>>> for factor in prime_factors.elements(): # loop over factors
... product *= factor # and multiply them
>>> product
1836
Note, if an element's count has been set to zero or is a negative
number, elements() will ignore it.
'''
# Emulate Bag.do from Smalltalk and Multiset.begin from C++.
return
_chain
.
from_iterable
(
_starmap
(
_repeat
,
self
.
items
()))
# Override dict methods where necessary
@
classmethod
def
fromkeys
(
cls
,
iterable
,
v
=
None
):
# There is no equivalent method for counters because setting v=1
# means that no element can have a count greater than one.
raise
NotImplementedError
(
'Counter.fromkeys() is undefined. Use Counter(iterable) instead.'
)
def
update
(
*
args
,
**
kwds
):
'''Like dict.update() but add counts instead of replacing them.
Source can be an iterable, a dictionary, or another Counter instance.
>>> c = Counter('which')
>>> c.update('witch') # add elements from another iterable
>>> d = Counter('watch')
>>> c.update(d) # add elements from another counter
>>> c['h'] # four 'h' in which, witch, and watch
4
'''
# The regular dict.update() operation makes no sense here because the
# replace behavior results in the some of original untouched counts
# being mixed-in with all of the other counts for a mismash that
# doesn't have a straight-forward interpretation in most counting
# contexts. Instead, we implement straight-addition. Both the inputs
# and outputs are allowed to contain zero and negative counts.
if
not
args
:
raise
TypeError
(
"descriptor 'update' of 'Counter' object "
"needs an argument"
)
self
,
*
args
=
args
if
len
(
args
)
>
1
:
raise
TypeError
(
'expected at most 1 arguments, got %d'
%
len
(
args
))
iterable
=
args
[
0
]
if
args
else
None
if
iterable
is
not
None
:
if
isinstance
(
iterable
,
Mapping
):
if
self
:
self_get
=
self
.
get
for
elem
,
count
in
iterable
.
items
():
self
[
elem
]
=
count
+
self_get
(
elem
,
0
)
else
:
super
(
Counter
,
self
).
update
(
iterable
)
# fast path when counter is empty
else
:
_count_elements
(
self
,
iterable
)
if
kwds
:
self
.
update
(
kwds
)
def
subtract
(
*
args
,
**
kwds
):
'''Like dict.update() but subtracts counts instead of replacing them.
Counts can be reduced below zero. Both the inputs and outputs are
allowed to contain zero and negative counts.
Source can be an iterable, a dictionary, or another Counter instance.
>>> c = Counter('which')
>>> c.subtract('witch') # subtract elements from another iterable
>>> c.subtract(Counter('watch')) # subtract elements from another counter
>>> c['h'] # 2 in which, minus 1 in witch, minus 1 in watch
0
>>> c['w'] # 1 in which, minus 1 in witch, minus 1 in watch
-1
'''
if
not
args
:
raise
TypeError
(
"descriptor 'subtract' of 'Counter' object "
"needs an argument"
)
self
,
*
args
=
args
if
len
(
args
)
>
1
:
raise
TypeError
(
'expected at most 1 arguments, got %d'
%
len
(
args
))
iterable
=
args
[
0
]
if
args
else
None
if
iterable
is
not
None
:
self_get
=
self
.
get
if
isinstance
(
iterable
,
Mapping
):
for
elem
,
count
in
iterable
.
items
():
self
[
elem
]
=
self_get
(
elem
,
0
)
-
count
else
:
for
elem
in
iterable
:
self
[
elem
]
=
self_get
(
elem
,
0
)
-
1
if
kwds
:
self
.
subtract
(
kwds
)
def
copy
(
self
):
'Return a shallow copy.'
return
self
.
__class__
(
self
)
def
__reduce__
(
self
):
return
self
.
__class__
, (
dict
(
self
),)
def
__delitem__
(
self
,
elem
):
'Like dict.__delitem__() but does not raise KeyError for missing values.'
if
elem
in
self
:
super
().
__delitem__
(
elem
)
def
__repr__
(
self
):
if
not
self
:
return
'%s()'
%
self
.
__class__
.
__name__
try
:
items
=
', '
.
join
(
map
(
'%r: %r'
.
__mod__
,
self
.
most_common
()))
return
'%s({%s})'
%
(
self
.
__class__
.
__name__
,
items
)
except
TypeError
:
# handle case where values are not orderable
return
'{0}({1!r})'
.
format
(
self
.
__class__
.
__name__
,
dict
(
self
))
# Multiset-style mathematical operations discussed in:
# Knuth TAOCP Volume II section 4.6.3 exercise 19
# and at http://en.wikipedia.org/wiki/Multiset
#
# Outputs guaranteed to only include positive counts.
#
# To strip negative and zero counts, add-in an empty counter:
# c += Counter()
def
__add__
(
self
,
other
):
'''Add counts from two counters.
>>> Counter('abbb') + Counter('bcc')
Counter({'b': 4, 'c': 2, 'a': 1})
'''
if
not
isinstance
(
other
,
Counter
):
return
NotImplemented
result
=
Counter
()
for
elem
,
count
in
self
.
items
():
newcount
=
count
+
other
[
elem
]
if
newcount
>
0
:
result
[
elem
]
=
newcount
for
elem
,
count
in
other
.
items
():
if
elem
not
in
self
and
count
>
0
:
result
[
elem
]
=
count
return
result
def
__sub__
(
self
,
other
):
''' Subtract count, but keep only results with positive counts.
>>> Counter('abbbc') - Counter('bccd')
Counter({'b': 2, 'a': 1})
'''
if
not
isinstance
(
other
,
Counter
):
return
NotImplemented
result
=
Counter
()
for
elem
,
count
in
self
.
items
():
newcount
=
count
-
other
[
elem
]
if
newcount
>
0
:
result
[
elem
]
=
newcount
for
elem
,
count
in
other
.
items
():
if
elem
not
in
self
and
count
<
0
:
result
[
elem
]
=
0
-
count
return
result
def
__or__
(
self
,
other
):
'''Union is the maximum of value in either of the input counters.
>>> Counter('abbb') | Counter('bcc')
Counter({'b': 3, 'c': 2, 'a': 1})
'''
if
not
isinstance
(
other
,
Counter
):
return
NotImplemented
result
=
Counter
()
for
elem
,
count
in
self
.
items
():
other_count
=
other
[
elem
]
newcount
=
other_count
if
count
<
other_count
else
count
if
newcount
>
0
:
result
[
elem
]
=
newcount
for
elem
,
count
in
other
.
items
():
if
elem
not
in
self
and
count
>
0
:
result
[
elem
]
=
count
return
result
def
__and__
(
self
,
other
):
''' Intersection is the minimum of corresponding counts.
>>> Counter('abbb') & Counter('bcc')
Counter({'b': 1})
'''
if
not
isinstance
(
other
,
Counter
):
return
NotImplemented
result
=
Counter
()
for
elem
,
count
in
self
.
items
():
other_count
=
other
[
elem
]
newcount
=
count
if
count
<
other_count
else
other_count
if
newcount
>
0
:
result
[
elem
]
=
newcount
return
result
def
__pos__
(
self
):
'Adds an empty counter, effectively stripping negative and zero counts'
result
=
Counter
()
for
elem
,
count
in
self
.
items
():
if
count
>
0
:
result
[
elem
]
=
count
return
result
def
__neg__
(
self
):
'''Subtracts from an empty counter. Strips positive and zero counts,
and flips the sign on negative counts.
'''
result
=
Counter
()
for
elem
,
count
in
self
.
items
():
if
count
<
0
:
result
[
elem
]
=
0
-
count
return
result
def
_keep_positive
(
self
):
'''Internal method to strip elements with a negative or zero count'''
nonpositive
=
[
elem
for
elem
,
count
in
self
.
items
()
if
not
count
>
0
]
for
elem
in
nonpositive
:
del
self
[
elem
]
return
self
def
__iadd__
(
self
,
other
):
'''Inplace add from another counter, keeping only positive counts.
>>> c = Counter('abbb')
>>> c += Counter('bcc')
>>> c
Counter({'b': 4, 'c': 2, 'a': 1})
'''
for
elem
,
count
in
other
.
items
():
self
[
elem
]
+=
count
return
self
.
_keep_positive
()
def
__isub__
(
self
,
other
):
'''Inplace subtract counter, but keep only results with positive counts.
>>> c = Counter('abbbc')
>>> c -= Counter('bccd')
>>> c
Counter({'b': 2, 'a': 1})
'''
for
elem
,
count
in
other
.
items
():
self
[
elem
]
-=
count
return
self
.
_keep_positive
()
def
__ior__
(
self
,
other
):
'''Inplace union is the maximum of value from either counter.
>>> c = Counter('abbb')
>>> c |= Counter('bcc')
>>> c
Counter({'b': 3, 'c': 2, 'a': 1})
'''
for
elem
,
other_count
in
other
.
items
():
count
=
self
[
elem
]
if
other_count
>
count
:
self
[
elem
]
=
other_count
return
self
.
_keep_positive
()
def
__iand__
(
self
,
other
):
'''Inplace intersection is the minimum of corresponding counts.
>>> c = Counter('abbb')
>>> c &= Counter('bcc')
>>> c
Counter({'b': 1})
'''
for
elem
,
count
in
self
.
items
():
other_count
=
other
[
elem
]
if
other_count
<
count
:
self
[
elem
]
=
other_count
return
self
.
_keep_positive
()
########################################################################
### ChainMap (helper for configparser and string.Template)
########################################################################
class
ChainMap
(
MutableMapping
):
''' A ChainMap groups multiple dicts (or other mappings) together
to create a single, updateable view.
The underlying mappings are stored in a list. That list is public and can
be accessed or updated using the *maps* attribute. There is no other
state.
Lookups search the underlying mappings successively until a key is found.
In contrast, writes, updates, and deletions only operate on the first
mapping.
'''
def
__init__
(
self
,
*
maps
):
'''Initialize a ChainMap by setting *maps* to the given mappings.
If no mappings are provided, a single empty dictionary is used.
'''
self
.
maps
=
list
(
maps
)
or
[{}]
# always at least one map
def
__missing__
(
self
,
key
):
raise
KeyError
(
key
)
def
__getitem__
(
self
,
key
):
for
mapping
in
self
.
maps
:
try
:
return
mapping
[
key
]
# can't use 'key in mapping' with defaultdict
except
KeyError
:
pass
return
self
.
__missing__
(
key
)
# support subclasses that define __missing__
def
get
(
self
,
key
,
default
=
None
):
return
self
[
key
]
if
key
in
self
else
default
def
__len__
(
self
):
return
len
(
set
().
union
(
*
self
.
maps
))
# reuses stored hash values if possible
def
__iter__
(
self
):
return
iter
(
set
().
union
(
*
self
.
maps
))
def
__contains__
(
self
,
key
):
return
any
(
key
in
m
for
m
in
self
.
maps
)
def
__bool__
(
self
):
return
any
(
self
.
maps
)
@
_recursive_repr
()
def
__repr__
(
self
):
return
'{0.__class__.__name__}({1})'
.
format
(
self
,
', '
.
join
(
map
(
repr
,
self
.
maps
)))
@
classmethod
def
fromkeys
(
cls
,
iterable
,
*
args
):
'Create a ChainMap with a single dict created from the iterable.'
return
cls
(
dict
.
fromkeys
(
iterable
,
*
args
))
def
copy
(
self
):
'New ChainMap or subclass with a new copy of maps[0] and refs to maps[1:]'
return
self
.
__class__
(
self
.
maps
[
0
].
copy
(),
*
self
.
maps
[
1
:])
__copy__
=
copy
def
new_child
(
self
,
m
=
None
):
# like Django's Context.push()
'''New ChainMap with a new map followed by all previous maps.
If no map is provided, an empty dict is used.
'''
if
m
is
None
:
m
=
{}
return
self
.
__class__
(
m
,
*
self
.
maps
)
@
property
def
parents
(
self
):
# like Django's Context.pop()
'New ChainMap from maps[1:].'
return
self
.
__class__
(
*
self
.
maps
[
1
:])
def
__setitem__
(
self
,
key
,
value
):
self
.
maps
[
0
][
key
]
=
value
def
__delitem__
(
self
,
key
):
try
:
del
self
.
maps
[
0
][
key
]
except
KeyError
:
raise
KeyError
(
'Key not found in the first mapping: {!r}'
.
format
(
key
))
def
popitem
(
self
):
'Remove and return an item pair from maps[0]. Raise KeyError is maps[0] is empty.'
try
:
return
self
.
maps
[
0
].
popitem
()
except
KeyError
:
raise
KeyError
(
'No keys found in the first mapping.'
)
def
pop
(
self
,
key
,
*
args
):
'Remove *key* from maps[0] and return its value. Raise KeyError if *key* not in maps[0].'
try
:
return
self
.
maps
[
0
].
pop
(
key
,
*
args
)
except
KeyError
:
raise
KeyError
(
'Key not found in the first mapping: {!r}'
.
format
(
key
))
def
clear
(
self
):
'Clear maps[0], leaving maps[1:] intact.'
self
.
maps
[
0
].
clear
()
################################################################################
### UserDict
################################################################################
class
UserDict
(
MutableMapping
):
# Start by filling-out the abstract methods
def
__init__
(
*
args
,
**
kwargs
):
if
not
args
:
raise
TypeError
(
"descriptor '__init__' of 'UserDict' object "
"needs an argument"
)
self
,
*
args
=
args
if
len
(
args
)
>
1
:
raise
TypeError
(
'expected at most 1 arguments, got %d'
%
len
(
args
))
if
args
:
dict
=
args
[
0
]
elif
'dict'
in
kwargs
:
dict
=
kwargs
.
pop
(
'dict'
)
import
warnings
warnings
.
warn
(
"Passing 'dict' as keyword argument is deprecated"
,
PendingDeprecationWarning
,
stacklevel
=
2
)
else
:
dict
=
None
self
.
data
=
{}
if
dict
is
not
None
:
self
.
update
(
dict
)
if
len
(
kwargs
):
self
.
update
(
kwargs
)
def
__len__
(
self
):
return
len
(
self
.
data
)
def
__getitem__
(
self
,
key
):
if
key
in
self
.
data
:
return
self
.
data
[
key
]
if
hasattr
(
self
.
__class__
,
"__missing__"
):
return
self
.
__class__
.
__missing__
(
self
,
key
)
raise
KeyError
(
key
)
def
__setitem__
(
self
,
key
,
item
):
self
.
data
[
key
]
=
item
def
__delitem__
(
self
,
key
):
del
self
.
data
[
key
]
def
__iter__
(
self
):
return
iter
(
self
.
data
)
# Modify __contains__ to work correctly when __missing__ is present
def
__contains__
(
self
,
key
):
return
key
in
self
.
data
# Now, add the methods in dicts but not in MutableMapping
def
__repr__
(
self
):
return
repr
(
self
.
data
)
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