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    :meth:`~sqlalchemy.sql.operators.Operators.__and__`,
    :meth:`~sqlalchemy.sql.operators.Operators.__or__`,
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            and_(a, b)

        Care should be taken when using ``&`` regarding
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        Care should be taken when using ``|`` regarding
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__invert__kszOperators.__invert__rFNcs t||||����fdd�}|S)a!produce a generic operator function.

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        example::

          somecolumn.op('&')(0xff)

        is a bitwise AND of the value in ``somecolumn``.

        :param operator: a string which will be output as the infix operator
          between this element and the expression passed to the
          generated function.

        :param precedence: precedence to apply to the operator, when
         parenthesizing expressions.  A lower number will cause the expression
         to be parenthesized when applied against another operator with
         higher precedence.  The default value of ``0`` is lower than all
         operators except for the comma (``,``) and ``AS`` operators.
         A value of 100 will be higher or equal to all operators, and -100
         will be lower than or equal to all operators.

        :param is_comparison: if True, the operator will be considered as a
         "comparison" operator, that is which evaluates to a boolean
         true/false value, like ``==``, ``>``, etc.  This flag should be set
         so that ORM relationships can establish that the operator is a
         comparison operator when used in a custom join condition.

         .. versionadded:: 0.9.2 - added the
            :paramref:`.Operators.op.is_comparison` flag.

        :param return_type: a :class:`.TypeEngine` class or object that will
          force the return type of an expression produced by this operator
          to be of that type.   By default, operators that specify
          :paramref:`.Operators.op.is_comparison` will resolve to
          :class:`.Boolean`, and those that do not will be of the same
          type as the left-hand operand.

          .. versionadded:: 1.2.0b3 - added the
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            class MyComparator(ColumnOperators):
                def operate(self, op, other):
                    return op(func.lower(self), func.lower(other))

        :param op:  Operator callable.
        :param \*other: the 'other' side of the operation. Will
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    used directly when programmatically constructing expressions.   E.g.
    to represent the "factorial" operation::

        from sqlalchemy.sql import UnaryExpression
        from sqlalchemy.sql import operators
        from sqlalchemy import Numeric

        unary = UnaryExpression(table.c.somecolumn,
                modifier=operators.custom_op("!"),
                type_=Numeric)


    .. seealso::

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    rFNcCs6||_||_||_||_||_|r,|�|�nd|_dS)N)r$r%r&�natural_self_precedent�eager_groupingZ_to_instancer')rr$r%r&r'r3r4rrr�__init__
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    Python builtin ``operator`` module or
    a SQLAlchemy-specific operator function from
    :mod:`sqlalchemy.expression.operators`.   For example
    the ``__eq__`` function::

        def __eq__(self, other):
            return self.operate(operators.eq, other)

    Where ``operators.eq`` is essentially::

        def eq(a, b):
            return a == b

    The core column expression unit :class:`.ColumnElement`
    overrides :meth:`.Operators.operate` and others
    to return further :class:`.ColumnElement` constructs,
    so that the ``==`` operation above is replaced by a clause
    construct.

    .. seealso::

        :ref:`types_operators`

        :attr:`.TypeEngine.comparator_factory`

        :class:`.ColumnOperators`

        :class:`.PropComparator`

    rNcCs|�t|�S)zdImplement the ``<`` operator.

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        )rr)rrrr�__neg__�szColumnOperators.__neg__cCs|�t|�S)N)rr)rrrrr�__contains__�szColumnOperators.__contains__cCs|�t|�S)z�Implement the [] operator.

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        )rr)r�indexrrr�__getitem__�szColumnOperators.__getitem__cCs|�t|�S)z�implement the << operator.

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        :param other: expression to be compared
        :param escape: optional escape character, renders the ``ESCAPE``
          keyword, e.g.::

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        )�escape)r�like_op)rrrNrrr�like�szColumnOperators.likecCs|jt||d�S)a�Implement the ``ilike`` operator, e.g. case insensitive LIKE.

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            lower(a) LIKE lower(other)

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            a ILIKE other

        E.g.::

            stmt = select([sometable]).\
                where(sometable.c.column.ilike("%foobar%"))

        :param other: expression to be compared
        :param escape: optional escape character, renders the ``ESCAPE``
          keyword, e.g.::

            somecolumn.ilike("foo/%bar", escape="/")

        .. seealso::

            :meth:`.ColumnOperators.like`

        )rN)r�ilike_op)rrrNrrr�ilike�szColumnOperators.ilikecCs|�t|�S)a�
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            stmt.where(column.in_([1, 2, 3]))

          In this calling form, the list of items is converted to a set of
          bound parameters the same length as the list given::

            WHERE COL IN (?, ?, ?)

        * An empty list, e.g.::

            stmt.where(column.in_([]))

          In this calling form, the expression renders a "false" expression,
          e.g.::

            WHERE 1 != 1

          This "false" expression has historically had different behaviors
          in older SQLAlchemy versions, see
          :paramref:`.create_engine.empty_in_strategy` for behavioral options.

          .. versionchanged:: 1.2 simplified the behavior of "empty in"
             expressions

        * A bound parameter, e.g. :func:`.bindparam`, may be used if it
          includes the :paramref:`.bindparam.expanding` flag::

            stmt.where(column.in_(bindparam('value', expanding=True)))

          In this calling form, the expression renders a special non-SQL
          placeholder expression that looks like::

            WHERE COL IN ([EXPANDING_value])

          This placeholder expression is intercepted at statement execution
          time to be converted into the variable number of bound parameter
          form illustrated earlier.   If the statement were executed as::

            connection.execute(stmt, {"value": [1, 2, 3]})

          The database would be passed a bound parameter for each value::

            WHERE COL IN (?, ?, ?)

          .. versionadded:: 1.2 added "expanding" bound parameters

          If an empty list is passed, a special "empty list" expression,
          which is specific to the database in use, is rendered.  On
          SQLite this would be::

            WHERE COL IN (SELECT 1 FROM (SELECT 1) WHERE 1!=1)

          .. versionadded:: 1.3 "expanding" bound parameters now support
             empty lists

        * a :func:`.select` construct, which is usually a correlated
          scalar select::

            stmt.where(
                column.in_(
                    select([othertable.c.y]).
                    where(table.c.x == othertable.c.x)
                )
            )

          In this calling form, :meth:`.ColumnOperators.in_` renders as given::

            WHERE COL IN (SELECT othertable.y
            FROM othertable WHERE othertable.x = table.x)

        :param other: a list of literals, a :func:`.select` construct,
         or a :func:`.bindparam` construct that includes the
         :paramref:`.bindparam.expanding` flag set to True.

        )r�in_op)rrrrr�in_sSzColumnOperators.in_cCs|�t|�S)a�implement the ``NOT IN`` operator.

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        In the case that ``other`` is an empty sequence, the compiler
        produces an "empty not in" expression.   This defaults to the
        expression "1 = 1" to produce true in all cases.  The
        :paramref:`.create_engine.empty_in_strategy` may be used to
        alter this behavior.

        .. versionchanged:: 1.2  The :meth:`.ColumnOperators.in_` and
           :meth:`.ColumnOperators.notin_` operators
           now produce a "static" expression for an empty IN sequence
           by default.

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        )r�notin_op)rrrrr�notin_XszColumnOperators.notin_cCs|jt||d�S)z�implement the ``NOT LIKE`` operator.

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        )rN)r�
notlike_op)rrrNrrr�notlikepszColumnOperators.notlikecCs|jt||d�S)z�implement the ``NOT ILIKE`` operator.

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        )rN)r�notilike_op)rrrNrrr�notilike}szColumnOperators.notilikecCs|�t|�S)aVImplement the ``IS`` operator.

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        )r�is_)rrrrrr[�szColumnOperators.is_cCs|�t|�S)a`Implement the ``IS NOT`` operator.

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        usage of ``IS NOT`` may be desirable if comparing to boolean values
        on certain platforms.

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        )r�isnot)rrrrrr\�szColumnOperators.isnotcKs|jt|f|�S)a�Implement the ``startswith`` operator.

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            column LIKE <other> || '%'

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            stmt = select([sometable]).\
                where(sometable.c.column.startswith("foobar"))

        Since the operator uses ``LIKE``, wildcard characters
        ``"%"`` and ``"_"`` that are present inside the <other> expression
        will behave like wildcards as well.   For literal string
        values, the :paramref:`.ColumnOperators.startswith.autoescape` flag
        may be set to ``True`` to apply escaping to occurrences of these
        characters within the string value so that they match as themselves
        and not as wildcard characters.  Alternatively, the
        :paramref:`.ColumnOperators.startswith.escape` parameter will establish
        a given character as an escape character which can be of use when
        the target expression is not a literal string.

        :param other: expression to be compared.   This is usually a plain
          string value, but can also be an arbitrary SQL expression.  LIKE
          wildcard characters ``%`` and ``_`` are not escaped by default unless
          the :paramref:`.ColumnOperators.startswith.autoescape` flag is
          set to True.

        :param autoescape: boolean; when True, establishes an escape character
          within the LIKE expression, then applies it to all occurrences of
          ``"%"``, ``"_"`` and the escape character itself within the
          comparison value, which is assumed to be a literal string and not a
          SQL expression.

          An expression such as::

            somecolumn.startswith("foo%bar", autoescape=True)

          Will render as::

            somecolumn LIKE :param || '%' ESCAPE '/'

          With the value of :param as ``"foo/%bar"``.

          .. versionadded:: 1.2

          .. versionchanged:: 1.2.0 The
            :paramref:`.ColumnOperators.startswith.autoescape` parameter is
             now a simple boolean rather than a character; the escape
             character itself is also escaped, and defaults to a forwards
             slash, which itself can be customized using the
             :paramref:`.ColumnOperators.startswith.escape` parameter.

        :param escape: a character which when given will render with the
          ``ESCAPE`` keyword to establish that character as the escape
          character.  This character can then be placed preceding occurrences
          of ``%`` and ``_`` to allow them to act as themselves and not
          wildcard characters.

          An expression such as::

            somecolumn.startswith("foo/%bar", escape="^")

          Will render as::

            somecolumn LIKE :param || '%' ESCAPE '^'

          The parameter may also be combined with
          :paramref:`.ColumnOperators.startswith.autoescape`::

            somecolumn.startswith("foo%bar^bat", escape="^", autoescape=True)

          Where above, the given literal parameter will be converted to
          ``"foo^%bar^^bat"`` before being passed to the database.

        .. seealso::

            :meth:`.ColumnOperators.endswith`

            :meth:`.ColumnOperators.contains`

            :meth:`.ColumnOperators.like`

        )r�
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startswith�sVzColumnOperators.startswithcKs|jt|f|�S)a�Implement the 'endswith' operator.

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            stmt = select([sometable]).\
                where(sometable.c.column.endswith("foobar"))

        Since the operator uses ``LIKE``, wildcard characters
        ``"%"`` and ``"_"`` that are present inside the <other> expression
        will behave like wildcards as well.   For literal string
        values, the :paramref:`.ColumnOperators.endswith.autoescape` flag
        may be set to ``True`` to apply escaping to occurrences of these
        characters within the string value so that they match as themselves
        and not as wildcard characters.  Alternatively, the
        :paramref:`.ColumnOperators.endswith.escape` parameter will establish
        a given character as an escape character which can be of use when
        the target expression is not a literal string.

        :param other: expression to be compared.   This is usually a plain
          string value, but can also be an arbitrary SQL expression.  LIKE
          wildcard characters ``%`` and ``_`` are not escaped by default unless
          the :paramref:`.ColumnOperators.endswith.autoescape` flag is
          set to True.

        :param autoescape: boolean; when True, establishes an escape character
          within the LIKE expression, then applies it to all occurrences of
          ``"%"``, ``"_"`` and the escape character itself within the
          comparison value, which is assumed to be a literal string and not a
          SQL expression.

          An expression such as::

            somecolumn.endswith("foo%bar", autoescape=True)

          Will render as::

            somecolumn LIKE '%' || :param ESCAPE '/'

          With the value of :param as ``"foo/%bar"``.

          .. versionadded:: 1.2

          .. versionchanged:: 1.2.0 The
            :paramref:`.ColumnOperators.endswith.autoescape` parameter is
             now a simple boolean rather than a character; the escape
             character itself is also escaped, and defaults to a forwards
             slash, which itself can be customized using the
             :paramref:`.ColumnOperators.endswith.escape` parameter.

        :param escape: a character which when given will render with the
          ``ESCAPE`` keyword to establish that character as the escape
          character.  This character can then be placed preceding occurrences
          of ``%`` and ``_`` to allow them to act as themselves and not
          wildcard characters.

          An expression such as::

            somecolumn.endswith("foo/%bar", escape="^")

          Will render as::

            somecolumn LIKE '%' || :param ESCAPE '^'

          The parameter may also be combined with
          :paramref:`.ColumnOperators.endswith.autoescape`::

            somecolumn.endswith("foo%bar^bat", escape="^", autoescape=True)

          Where above, the given literal parameter will be converted to
          ``"foo^%bar^^bat"`` before being passed to the database.

        .. seealso::

            :meth:`.ColumnOperators.startswith`

            :meth:`.ColumnOperators.contains`

            :meth:`.ColumnOperators.like`

        )r�endswith_op)rrr,rrr�endswith�sVzColumnOperators.endswithcKs|jt|f|�S)a�Implement the 'contains' operator.

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            stmt = select([sometable]).\
                where(sometable.c.column.contains("foobar"))

        Since the operator uses ``LIKE``, wildcard characters
        ``"%"`` and ``"_"`` that are present inside the <other> expression
        will behave like wildcards as well.   For literal string
        values, the :paramref:`.ColumnOperators.contains.autoescape` flag
        may be set to ``True`` to apply escaping to occurrences of these
        characters within the string value so that they match as themselves
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        :param other: expression to be compared.   This is usually a plain
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        :param autoescape: boolean; when True, establishes an escape character
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          An expression such as::

            somecolumn.contains("foo%bar", autoescape=True)

          Will render as::

            somecolumn LIKE '%' || :param || '%' ESCAPE '/'

          With the value of :param as ``"foo/%bar"``.

          .. versionadded:: 1.2

          .. versionchanged:: 1.2.0 The
            :paramref:`.ColumnOperators.contains.autoescape` parameter is
             now a simple boolean rather than a character; the escape
             character itself is also escaped, and defaults to a forwards
             slash, which itself can be customized using the
             :paramref:`.ColumnOperators.contains.escape` parameter.

        :param escape: a character which when given will render with the
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          An expression such as::

            somecolumn.contains("foo/%bar", escape="^")

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            somecolumn LIKE '%' || :param || '%' ESCAPE '^'

          The parameter may also be combined with
          :paramref:`.ColumnOperators.contains.autoescape`::

            somecolumn.contains("foo%bar^bat", escape="^", autoescape=True)

          Where above, the given literal parameter will be converted to
          ``"foo^%bar^^bat"`` before being passed to the database.

        .. seealso::

            :meth:`.ColumnOperators.startswith`

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            # postgresql '5 = ANY (somearray)'
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            expr = 5 == select([table.c.value]).as_scalar().any_()

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            expr = 5 == select([table.c.value]).as_scalar().all_()

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