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diff --git a/lib/python2.7/site-packages/django/db/models/expressions.py b/lib/python2.7/site-packages/django/db/models/expressions.py
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+++ b/lib/python2.7/site-packages/django/db/models/expressions.py
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+import datetime
+
+from django.db.models.aggregates import refs_aggregate
+from django.db.models.constants import LOOKUP_SEP
+from django.utils import tree
+
+class ExpressionNode(tree.Node):
+ """
+ Base class for all query expressions.
+ """
+ # Arithmetic connectors
+ ADD = '+'
+ SUB = '-'
+ MUL = '*'
+ DIV = '/'
+ MOD = '%%' # This is a quoted % operator - it is quoted
+ # because it can be used in strings that also
+ # have parameter substitution.
+
+ # Bitwise operators - note that these are generated by .bitand()
+ # and .bitor(), the '&' and '|' are reserved for boolean operator
+ # usage.
+ BITAND = '&'
+ BITOR = '|'
+
+ def __init__(self, children=None, connector=None, negated=False):
+ if children is not None and len(children) > 1 and connector is None:
+ raise TypeError('You have to specify a connector.')
+ super(ExpressionNode, self).__init__(children, connector, negated)
+
+ def _combine(self, other, connector, reversed, node=None):
+ if isinstance(other, datetime.timedelta):
+ return DateModifierNode([self, other], connector)
+
+ if reversed:
+ obj = ExpressionNode([other], connector)
+ obj.add(node or self, connector)
+ else:
+ obj = node or ExpressionNode([self], connector)
+ obj.add(other, connector)
+ return obj
+
+ def contains_aggregate(self, existing_aggregates):
+ if self.children:
+ return any(child.contains_aggregate(existing_aggregates)
+ for child in self.children
+ if hasattr(child, 'contains_aggregate'))
+ else:
+ return refs_aggregate(self.name.split(LOOKUP_SEP),
+ existing_aggregates)
+
+ def prepare_database_save(self, unused):
+ return self
+
+ ###################
+ # VISITOR METHODS #
+ ###################
+
+ def prepare(self, evaluator, query, allow_joins):
+ return evaluator.prepare_node(self, query, allow_joins)
+
+ def evaluate(self, evaluator, qn, connection):
+ return evaluator.evaluate_node(self, qn, connection)
+
+ #############
+ # OPERATORS #
+ #############
+
+ def __add__(self, other):
+ return self._combine(other, self.ADD, False)
+
+ def __sub__(self, other):
+ return self._combine(other, self.SUB, False)
+
+ def __mul__(self, other):
+ return self._combine(other, self.MUL, False)
+
+ def __truediv__(self, other):
+ return self._combine(other, self.DIV, False)
+
+ def __div__(self, other): # Python 2 compatibility
+ return type(self).__truediv__(self, other)
+
+ def __mod__(self, other):
+ return self._combine(other, self.MOD, False)
+
+ def __and__(self, other):
+ raise NotImplementedError(
+ "Use .bitand() and .bitor() for bitwise logical operations."
+ )
+
+ def bitand(self, other):
+ return self._combine(other, self.BITAND, False)
+
+ def __or__(self, other):
+ raise NotImplementedError(
+ "Use .bitand() and .bitor() for bitwise logical operations."
+ )
+
+ def bitor(self, other):
+ return self._combine(other, self.BITOR, False)
+
+ def __radd__(self, other):
+ return self._combine(other, self.ADD, True)
+
+ def __rsub__(self, other):
+ return self._combine(other, self.SUB, True)
+
+ def __rmul__(self, other):
+ return self._combine(other, self.MUL, True)
+
+ def __rtruediv__(self, other):
+ return self._combine(other, self.DIV, True)
+
+ def __rdiv__(self, other): # Python 2 compatibility
+ return type(self).__rtruediv__(self, other)
+
+ def __rmod__(self, other):
+ return self._combine(other, self.MOD, True)
+
+ def __rand__(self, other):
+ raise NotImplementedError(
+ "Use .bitand() and .bitor() for bitwise logical operations."
+ )
+
+ def __ror__(self, other):
+ raise NotImplementedError(
+ "Use .bitand() and .bitor() for bitwise logical operations."
+ )
+
+class F(ExpressionNode):
+ """
+ An expression representing the value of the given field.
+ """
+ def __init__(self, name):
+ super(F, self).__init__(None, None, False)
+ self.name = name
+
+ def __deepcopy__(self, memodict):
+ obj = super(F, self).__deepcopy__(memodict)
+ obj.name = self.name
+ return obj
+
+ def prepare(self, evaluator, query, allow_joins):
+ return evaluator.prepare_leaf(self, query, allow_joins)
+
+ def evaluate(self, evaluator, qn, connection):
+ return evaluator.evaluate_leaf(self, qn, connection)
+
+class DateModifierNode(ExpressionNode):
+ """
+ Node that implements the following syntax:
+ filter(end_date__gt=F('start_date') + datetime.timedelta(days=3, seconds=200))
+
+ which translates into:
+ POSTGRES:
+ WHERE end_date > (start_date + INTERVAL '3 days 200 seconds')
+
+ MYSQL:
+ WHERE end_date > (start_date + INTERVAL '3 0:0:200:0' DAY_MICROSECOND)
+
+ ORACLE:
+ WHERE end_date > (start_date + INTERVAL '3 00:03:20.000000' DAY(1) TO SECOND(6))
+
+ SQLITE:
+ WHERE end_date > django_format_dtdelta(start_date, "+" "3", "200", "0")
+ (A custom function is used in order to preserve six digits of fractional
+ second information on sqlite, and to format both date and datetime values.)
+
+ Note that microsecond comparisons are not well supported with MySQL, since
+ MySQL does not store microsecond information.
+
+ Only adding and subtracting timedeltas is supported, attempts to use other
+ operations raise a TypeError.
+ """
+ def __init__(self, children, connector, negated=False):
+ if len(children) != 2:
+ raise TypeError('Must specify a node and a timedelta.')
+ if not isinstance(children[1], datetime.timedelta):
+ raise TypeError('Second child must be a timedelta.')
+ if connector not in (self.ADD, self.SUB):
+ raise TypeError('Connector must be + or -, not %s' % connector)
+ super(DateModifierNode, self).__init__(children, connector, negated)
+
+ def evaluate(self, evaluator, qn, connection):
+ return evaluator.evaluate_date_modifier_node(self, qn, connection)