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-rw-r--r--Lib/functools.py142
-rw-r--r--Misc/NEWS2
2 files changed, 80 insertions, 64 deletions
diff --git a/Lib/functools.py b/Lib/functools.py
index 24fdb16..3e93a3d 100644
--- a/Lib/functools.py
+++ b/Lib/functools.py
@@ -89,91 +89,106 @@ def wraps(wrapped,
### total_ordering class decorator
################################################################################
-# The correct way to indicate that a comparison operation doesn't
-# recognise the other type is to return NotImplemented and let the
-# interpreter handle raising TypeError if both operands return
-# NotImplemented from their respective comparison methods
-#
-# This makes the implementation of total_ordering more complicated, since
-# we need to be careful not to trigger infinite recursion when two
-# different types that both use this decorator encounter each other.
-#
-# For example, if a type implements __lt__, it's natural to define
-# __gt__ as something like:
-#
-# lambda self, other: not self < other and not self == other
-#
-# However, using the operator syntax like that ends up invoking the full
-# type checking machinery again and means we can end up bouncing back and
-# forth between the two operands until we run out of stack space.
-#
-# The solution is to define helper functions that invoke the appropriate
-# magic methods directly, ensuring we only try each operand once, and
-# return NotImplemented immediately if it is returned from the
-# underlying user provided method. Using this scheme, the __gt__ derived
-# from a user provided __lt__ becomes:
-#
-# lambda self, other: _not_op_and_not_eq(self.__lt__, self, other))
-
-def _not_op(op, other):
- # "not a < b" handles "a >= b"
- # "not a <= b" handles "a > b"
- # "not a >= b" handles "a < b"
- # "not a > b" handles "a <= b"
- op_result = op(other)
+# The total ordering functions all invoke the root magic method directly
+# rather than using the corresponding operator. This avoids possible
+# infinite recursion that could occur when the operator dispatch logic
+# detects a NotImplemented result and then calls a reflected method.
+
+def _gt_from_lt(self, other):
+ 'Return a > b. Computed by @total_ordering from (not a < b) and (a != b).'
+ op_result = self.__lt__(other)
+ if op_result is NotImplemented:
+ return NotImplemented
+ return not op_result and self != other
+
+def _le_from_lt(self, other):
+ 'Return a <= b. Computed by @total_ordering from (a < b) or (a == b).'
+ op_result = self.__lt__(other)
+ return op_result or self == other
+
+def _ge_from_lt(self, other):
+ 'Return a >= b. Computed by @total_ordering from (not a < b).'
+ op_result = self.__lt__(other)
if op_result is NotImplemented:
return NotImplemented
return not op_result
-def _op_or_eq(op, self, other):
- # "a < b or a == b" handles "a <= b"
- # "a > b or a == b" handles "a >= b"
- op_result = op(other)
+def _ge_from_le(self, other):
+ 'Return a >= b. Computed by @total_ordering from (not a <= b) or (a == b).'
+ op_result = self.__le__(other)
if op_result is NotImplemented:
return NotImplemented
- return op_result or self == other
+ return not op_result or self == other
+
+def _lt_from_le(self, other):
+ 'Return a < b. Computed by @total_ordering from (a <= b) and (a != b).'
+ op_result = self.__le__(other)
+ if op_result is NotImplemented:
+ return NotImplemented
+ return op_result and self != other
+
+def _gt_from_le(self, other):
+ 'Return a > b. Computed by @total_ordering from (not a <= b).'
+ op_result = self.__le__(other)
+ if op_result is NotImplemented:
+ return NotImplemented
+ return not op_result
-def _not_op_and_not_eq(op, self, other):
- # "not (a < b or a == b)" handles "a > b"
- # "not a < b and a != b" is equivalent
- # "not (a > b or a == b)" handles "a < b"
- # "not a > b and a != b" is equivalent
- op_result = op(other)
+def _lt_from_gt(self, other):
+ 'Return a < b. Computed by @total_ordering from (not a > b) and (a != b).'
+ op_result = self.__gt__(other)
if op_result is NotImplemented:
return NotImplemented
return not op_result and self != other
-def _not_op_or_eq(op, self, other):
- # "not a <= b or a == b" handles "a >= b"
- # "not a >= b or a == b" handles "a <= b"
- op_result = op(other)
+def _ge_from_gt(self, other):
+ 'Return a >= b. Computed by @total_ordering from (a > b) or (a == b).'
+ op_result = self.__gt__(other)
+ return op_result or self == other
+
+def _le_from_gt(self, other):
+ 'Return a <= b. Computed by @total_ordering from (not a > b).'
+ op_result = self.__gt__(other)
+ if op_result is NotImplemented:
+ return NotImplemented
+ return not op_result
+
+def _le_from_ge(self, other):
+ 'Return a <= b. Computed by @total_ordering from (not a >= b) or (a == b).'
+ op_result = self.__ge__(other)
if op_result is NotImplemented:
return NotImplemented
return not op_result or self == other
-def _op_and_not_eq(op, self, other):
- # "a <= b and not a == b" handles "a < b"
- # "a >= b and not a == b" handles "a > b"
- op_result = op(other)
+def _gt_from_ge(self, other):
+ 'Return a > b. Computed by @total_ordering from (a >= b) and (a != b).'
+ op_result = self.__ge__(other)
if op_result is NotImplemented:
return NotImplemented
return op_result and self != other
+def _lt_from_ge(self, other):
+ 'Return a < b. Computed by @total_ordering from (not a >= b).'
+ op_result = self.__ge__(other)
+ if op_result is NotImplemented:
+ return NotImplemented
+ return not op_result
+
def total_ordering(cls):
"""Class decorator that fills in missing ordering methods"""
convert = {
- '__lt__': [('__gt__', lambda self, other: _not_op_and_not_eq(self.__lt__, self, other)),
- ('__le__', lambda self, other: _op_or_eq(self.__lt__, self, other)),
- ('__ge__', lambda self, other: _not_op(self.__lt__, other))],
- '__le__': [('__ge__', lambda self, other: _not_op_or_eq(self.__le__, self, other)),
- ('__lt__', lambda self, other: _op_and_not_eq(self.__le__, self, other)),
- ('__gt__', lambda self, other: _not_op(self.__le__, other))],
- '__gt__': [('__lt__', lambda self, other: _not_op_and_not_eq(self.__gt__, self, other)),
- ('__ge__', lambda self, other: _op_or_eq(self.__gt__, self, other)),
- ('__le__', lambda self, other: _not_op(self.__gt__, other))],
- '__ge__': [('__le__', lambda self, other: _not_op_or_eq(self.__ge__, self, other)),
- ('__gt__', lambda self, other: _op_and_not_eq(self.__ge__, self, other)),
- ('__lt__', lambda self, other: _not_op(self.__ge__, other))]
+ '__lt__': [('__gt__', _gt_from_lt),
+ ('__le__', _le_from_lt),
+ ('__ge__', _ge_from_lt)],
+ '__le__': [('__ge__', _ge_from_le),
+ ('__lt__', _lt_from_le),
+ ('__gt__', _gt_from_le)],
+ '__gt__': [('__lt__', _lt_from_gt),
+ ('__ge__', _ge_from_gt),
+ ('__le__', _le_from_gt)],
+ '__ge__': [('__le__', _le_from_ge),
+ ('__gt__', _gt_from_ge),
+ ('__lt__', _lt_from_ge)]
}
# Find user-defined comparisons (not those inherited from object).
roots = [op for op in convert if getattr(cls, op, None) is not getattr(object, op, None)]
@@ -183,7 +198,6 @@ def total_ordering(cls):
for opname, opfunc in convert[root]:
if opname not in roots:
opfunc.__name__ = opname
- opfunc.__doc__ = getattr(int, opname).__doc__
setattr(cls, opname, opfunc)
return cls
diff --git a/Misc/NEWS b/Misc/NEWS
index f634b59..72d0d5f 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -47,6 +47,8 @@ Library
- Issue #23111: In the ftplib, make ssl.PROTOCOL_SSLv23 the default protocol
version.
+- Issue #23132: Mitigate regression in speed and clarity in functools.total_ordering.
+
- Issue #22585: On OpenBSD 5.6 and newer, os.urandom() now calls getentropy(),
instead of reading /dev/urandom, to get pseudo-random bytes.