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+# sql/operators.py
+# Copyright (C) 2005-2025 the SQLAlchemy authors and contributors
+# <see AUTHORS file>
+#
+# This module is part of SQLAlchemy and is released under
+# the MIT License: https://www.opensource.org/licenses/mit-license.php
+
+# This module is part of SQLAlchemy and is released under
+# the MIT License: https://www.opensource.org/licenses/mit-license.php
+
+"""Defines operators used in SQL expressions."""
+
+from __future__ import annotations
+
+from enum import IntEnum
+from operator import add as _uncast_add
+from operator import and_ as _uncast_and_
+from operator import contains as _uncast_contains
+from operator import eq as _uncast_eq
+from operator import floordiv as _uncast_floordiv
+from operator import ge as _uncast_ge
+from operator import getitem as _uncast_getitem
+from operator import gt as _uncast_gt
+from operator import inv as _uncast_inv
+from operator import le as _uncast_le
+from operator import lshift as _uncast_lshift
+from operator import lt as _uncast_lt
+from operator import mod as _uncast_mod
+from operator import mul as _uncast_mul
+from operator import ne as _uncast_ne
+from operator import neg as _uncast_neg
+from operator import or_ as _uncast_or_
+from operator import rshift as _uncast_rshift
+from operator import sub as _uncast_sub
+from operator import truediv as _uncast_truediv
+import typing
+from typing import Any
+from typing import Callable
+from typing import cast
+from typing import Dict
+from typing import Generic
+from typing import Optional
+from typing import overload
+from typing import Set
+from typing import Tuple
+from typing import Type
+from typing import TYPE_CHECKING
+from typing import TypeVar
+from typing import Union
+
+from .. import exc
+from .. import util
+from ..util.typing import Literal
+from ..util.typing import Protocol
+
+if typing.TYPE_CHECKING:
+    from ._typing import ColumnExpressionArgument
+    from .cache_key import CacheConst
+    from .elements import ColumnElement
+    from .type_api import TypeEngine
+
+_T = TypeVar("_T", bound=Any)
+_FN = TypeVar("_FN", bound=Callable[..., Any])
+
+
+class OperatorType(Protocol):
+    """describe an op() function."""
+
+    __slots__ = ()
+
+    __name__: str
+
+    @overload
+    def __call__(
+        self,
+        left: ColumnExpressionArgument[Any],
+        right: Optional[Any] = None,
+        *other: Any,
+        **kwargs: Any,
+    ) -> ColumnElement[Any]: ...
+
+    @overload
+    def __call__(
+        self,
+        left: Operators,
+        right: Optional[Any] = None,
+        *other: Any,
+        **kwargs: Any,
+    ) -> Operators: ...
+
+    def __call__(
+        self,
+        left: Any,
+        right: Optional[Any] = None,
+        *other: Any,
+        **kwargs: Any,
+    ) -> Operators: ...
+
+
+add = cast(OperatorType, _uncast_add)
+and_ = cast(OperatorType, _uncast_and_)
+contains = cast(OperatorType, _uncast_contains)
+eq = cast(OperatorType, _uncast_eq)
+floordiv = cast(OperatorType, _uncast_floordiv)
+ge = cast(OperatorType, _uncast_ge)
+getitem = cast(OperatorType, _uncast_getitem)
+gt = cast(OperatorType, _uncast_gt)
+inv = cast(OperatorType, _uncast_inv)
+le = cast(OperatorType, _uncast_le)
+lshift = cast(OperatorType, _uncast_lshift)
+lt = cast(OperatorType, _uncast_lt)
+mod = cast(OperatorType, _uncast_mod)
+mul = cast(OperatorType, _uncast_mul)
+ne = cast(OperatorType, _uncast_ne)
+neg = cast(OperatorType, _uncast_neg)
+or_ = cast(OperatorType, _uncast_or_)
+rshift = cast(OperatorType, _uncast_rshift)
+sub = cast(OperatorType, _uncast_sub)
+truediv = cast(OperatorType, _uncast_truediv)
+
+
+class Operators:
+    """Base of comparison and logical operators.
+
+    Implements base methods
+    :meth:`~sqlalchemy.sql.operators.Operators.operate` and
+    :meth:`~sqlalchemy.sql.operators.Operators.reverse_operate`, as well as
+    :meth:`~sqlalchemy.sql.operators.Operators.__and__`,
+    :meth:`~sqlalchemy.sql.operators.Operators.__or__`,
+    :meth:`~sqlalchemy.sql.operators.Operators.__invert__`.
+
+    Usually is used via its most common subclass
+    :class:`.ColumnOperators`.
+
+    """
+
+    __slots__ = ()
+
+    def __and__(self, other: Any) -> Operators:
+        """Implement the ``&`` operator.
+
+        When used with SQL expressions, results in an
+        AND operation, equivalent to
+        :func:`_expression.and_`, that is::
+
+            a & b
+
+        is equivalent to::
+
+            from sqlalchemy import and_
+
+            and_(a, b)
+
+        Care should be taken when using ``&`` regarding
+        operator precedence; the ``&`` operator has the highest precedence.
+        The operands should be enclosed in parenthesis if they contain
+        further sub expressions::
+
+            (a == 2) & (b == 4)
+
+        """
+        return self.operate(and_, other)
+
+    def __or__(self, other: Any) -> Operators:
+        """Implement the ``|`` operator.
+
+        When used with SQL expressions, results in an
+        OR operation, equivalent to
+        :func:`_expression.or_`, that is::
+
+            a | b
+
+        is equivalent to::
+
+            from sqlalchemy import or_
+
+            or_(a, b)
+
+        Care should be taken when using ``|`` regarding
+        operator precedence; the ``|`` operator has the highest precedence.
+        The operands should be enclosed in parenthesis if they contain
+        further sub expressions::
+
+            (a == 2) | (b == 4)
+
+        """
+        return self.operate(or_, other)
+
+    def __invert__(self) -> Operators:
+        """Implement the ``~`` operator.
+
+        When used with SQL expressions, results in a
+        NOT operation, equivalent to
+        :func:`_expression.not_`, that is::
+
+            ~a
+
+        is equivalent to::
+
+            from sqlalchemy import not_
+
+            not_(a)
+
+        """
+        return self.operate(inv)
+
+    def op(
+        self,
+        opstring: str,
+        precedence: int = 0,
+        is_comparison: bool = False,
+        return_type: Optional[
+            Union[Type[TypeEngine[Any]], TypeEngine[Any]]
+        ] = None,
+        python_impl: Optional[Callable[..., Any]] = None,
+    ) -> Callable[[Any], Operators]:
+        """Produce a generic operator function.
+
+        e.g.::
+
+          somecolumn.op("*")(5)
+
+        produces::
+
+          somecolumn * 5
+
+        This function can also be used to make bitwise operators explicit. For
+        example::
+
+          somecolumn.op("&")(0xFF)
+
+        is a bitwise AND of the value in ``somecolumn``.
+
+        :param opstring: a string which will be output as the infix operator
+          between this element and the expression passed to the
+          generated function.
+
+        :param precedence: precedence which the database is expected to apply
+         to the operator in SQL expressions. This integer value acts as a hint
+         for the SQL compiler to know when explicit parenthesis should be
+         rendered around a particular operation. 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.
+
+         .. seealso::
+
+            :ref:`faq_sql_expression_op_parenthesis` - detailed description
+            of how the SQLAlchemy SQL compiler renders parenthesis
+
+        :param is_comparison: legacy; 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 is provided
+         so that ORM relationships can establish that the operator is a
+         comparison operator when used in a custom join condition.
+
+         Using the ``is_comparison`` parameter is superseded by using the
+         :meth:`.Operators.bool_op` method instead;  this more succinct
+         operator sets this parameter automatically, but also provides
+         correct :pep:`484` typing support as the returned object will
+         express a "boolean" datatype, i.e. ``BinaryExpression[bool]``.
+
+        :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.
+
+        :param python_impl: an optional Python function that can evaluate
+         two Python values in the same way as this operator works when
+         run on the database server.  Useful for in-Python SQL expression
+         evaluation functions, such as for ORM hybrid attributes, and the
+         ORM "evaluator" used to match objects in a session after a multi-row
+         update or delete.
+
+         e.g.::
+
+            >>> expr = column("x").op("+", python_impl=lambda a, b: a + b)("y")
+
+         The operator for the above expression will also work for non-SQL
+         left and right objects::
+
+            >>> expr.operator(5, 10)
+            15
+
+         .. versionadded:: 2.0
+
+
+        .. seealso::
+
+            :meth:`.Operators.bool_op`
+
+            :ref:`types_operators`
+
+            :ref:`relationship_custom_operator`
+
+        """
+        operator = custom_op(
+            opstring,
+            precedence,
+            is_comparison,
+            return_type,
+            python_impl=python_impl,
+        )
+
+        def against(other: Any) -> Operators:
+            return operator(self, other)
+
+        return against
+
+    def bool_op(
+        self,
+        opstring: str,
+        precedence: int = 0,
+        python_impl: Optional[Callable[..., Any]] = None,
+    ) -> Callable[[Any], Operators]:
+        """Return a custom boolean operator.
+
+        This method is shorthand for calling
+        :meth:`.Operators.op` and passing the
+        :paramref:`.Operators.op.is_comparison`
+        flag with True.    A key advantage to using :meth:`.Operators.bool_op`
+        is that when using column constructs, the "boolean" nature of the
+        returned expression will be present for :pep:`484` purposes.
+
+        .. seealso::
+
+            :meth:`.Operators.op`
+
+        """
+        return self.op(
+            opstring,
+            precedence=precedence,
+            is_comparison=True,
+            python_impl=python_impl,
+        )
+
+    def operate(
+        self, op: OperatorType, *other: Any, **kwargs: Any
+    ) -> Operators:
+        r"""Operate on an argument.
+
+        This is the lowest level of operation, raises
+        :class:`NotImplementedError` by default.
+
+        Overriding this on a subclass can allow common
+        behavior to be applied to all operations.
+        For example, overriding :class:`.ColumnOperators`
+        to apply ``func.lower()`` to the left and right
+        side::
+
+            class MyComparator(ColumnOperators):
+                def operate(self, op, other, **kwargs):
+                    return op(func.lower(self), func.lower(other), **kwargs)
+
+        :param op:  Operator callable.
+        :param \*other: the 'other' side of the operation. Will
+         be a single scalar for most operations.
+        :param \**kwargs: modifiers.  These may be passed by special
+         operators such as :meth:`ColumnOperators.contains`.
+
+
+        """
+        raise NotImplementedError(str(op))
+
+    __sa_operate__ = operate
+
+    def reverse_operate(
+        self, op: OperatorType, other: Any, **kwargs: Any
+    ) -> Operators:
+        """Reverse operate on an argument.
+
+        Usage is the same as :meth:`operate`.
+
+        """
+        raise NotImplementedError(str(op))
+
+
+class custom_op(OperatorType, Generic[_T]):
+    """Represent a 'custom' operator.
+
+    :class:`.custom_op` is normally instantiated when the
+    :meth:`.Operators.op` or :meth:`.Operators.bool_op` methods
+    are used to create a custom operator callable.  The class can also be
+    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::
+
+        :meth:`.Operators.op`
+
+        :meth:`.Operators.bool_op`
+
+    """  # noqa: E501
+
+    __name__ = "custom_op"
+
+    __slots__ = (
+        "opstring",
+        "precedence",
+        "is_comparison",
+        "natural_self_precedent",
+        "eager_grouping",
+        "return_type",
+        "python_impl",
+    )
+
+    def __init__(
+        self,
+        opstring: str,
+        precedence: int = 0,
+        is_comparison: bool = False,
+        return_type: Optional[
+            Union[Type[TypeEngine[_T]], TypeEngine[_T]]
+        ] = None,
+        natural_self_precedent: bool = False,
+        eager_grouping: bool = False,
+        python_impl: Optional[Callable[..., Any]] = None,
+    ):
+        self.opstring = opstring
+        self.precedence = precedence
+        self.is_comparison = is_comparison
+        self.natural_self_precedent = natural_self_precedent
+        self.eager_grouping = eager_grouping
+        self.return_type = (
+            return_type._to_instance(return_type) if return_type else None
+        )
+        self.python_impl = python_impl
+
+    def __eq__(self, other: Any) -> bool:
+        return (
+            isinstance(other, custom_op)
+            and other._hash_key() == self._hash_key()
+        )
+
+    def __hash__(self) -> int:
+        return hash(self._hash_key())
+
+    def _hash_key(self) -> Union[CacheConst, Tuple[Any, ...]]:
+        return (
+            self.__class__,
+            self.opstring,
+            self.precedence,
+            self.is_comparison,
+            self.natural_self_precedent,
+            self.eager_grouping,
+            self.return_type._static_cache_key if self.return_type else None,
+        )
+
+    @overload
+    def __call__(
+        self,
+        left: ColumnExpressionArgument[Any],
+        right: Optional[Any] = None,
+        *other: Any,
+        **kwargs: Any,
+    ) -> ColumnElement[Any]: ...
+
+    @overload
+    def __call__(
+        self,
+        left: Operators,
+        right: Optional[Any] = None,
+        *other: Any,
+        **kwargs: Any,
+    ) -> Operators: ...
+
+    def __call__(
+        self,
+        left: Any,
+        right: Optional[Any] = None,
+        *other: Any,
+        **kwargs: Any,
+    ) -> Operators:
+        if hasattr(left, "__sa_operate__"):
+            return left.operate(self, right, *other, **kwargs)  # type: ignore
+        elif self.python_impl:
+            return self.python_impl(left, right, *other, **kwargs)  # type: ignore  # noqa: E501
+        else:
+            raise exc.InvalidRequestError(
+                f"Custom operator {self.opstring!r} can't be used with "
+                "plain Python objects unless it includes the "
+                "'python_impl' parameter."
+            )
+
+
+class ColumnOperators(Operators):
+    """Defines boolean, comparison, and other operators for
+    :class:`_expression.ColumnElement` expressions.
+
+    By default, all methods call down to
+    :meth:`.operate` or :meth:`.reverse_operate`,
+    passing in the appropriate operator function from the
+    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:`_expression.ColumnElement`
+    overrides :meth:`.Operators.operate` and others
+    to return further :class:`_expression.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`
+
+    """
+
+    __slots__ = ()
+
+    timetuple: Literal[None] = None
+    """Hack, allows datetime objects to be compared on the LHS."""
+
+    if typing.TYPE_CHECKING:
+
+        def operate(
+            self, op: OperatorType, *other: Any, **kwargs: Any
+        ) -> ColumnOperators: ...
+
+        def reverse_operate(
+            self, op: OperatorType, other: Any, **kwargs: Any
+        ) -> ColumnOperators: ...
+
+    def __lt__(self, other: Any) -> ColumnOperators:
+        """Implement the ``<`` operator.
+
+        In a column context, produces the clause ``a < b``.
+
+        """
+        return self.operate(lt, other)
+
+    def __le__(self, other: Any) -> ColumnOperators:
+        """Implement the ``<=`` operator.
+
+        In a column context, produces the clause ``a <= b``.
+
+        """
+        return self.operate(le, other)
+
+    # ColumnOperators defines an __eq__ so it must explicitly declare also
+    # an hash or it's set to None by python:
+    # https://docs.python.org/3/reference/datamodel.html#object.__hash__
+    if TYPE_CHECKING:
+
+        def __hash__(self) -> int: ...
+
+    else:
+        __hash__ = Operators.__hash__
+
+    def __eq__(self, other: Any) -> ColumnOperators:  # type: ignore[override]
+        """Implement the ``==`` operator.
+
+        In a column context, produces the clause ``a = b``.
+        If the target is ``None``, produces ``a IS NULL``.
+
+        """
+        return self.operate(eq, other)
+
+    def __ne__(self, other: Any) -> ColumnOperators:  # type: ignore[override]
+        """Implement the ``!=`` operator.
+
+        In a column context, produces the clause ``a != b``.
+        If the target is ``None``, produces ``a IS NOT NULL``.
+
+        """
+        return self.operate(ne, other)
+
+    def is_distinct_from(self, other: Any) -> ColumnOperators:
+        """Implement the ``IS DISTINCT FROM`` operator.
+
+        Renders "a IS DISTINCT FROM b" on most platforms;
+        on some such as SQLite may render "a IS NOT b".
+
+        """
+        return self.operate(is_distinct_from, other)
+
+    def is_not_distinct_from(self, other: Any) -> ColumnOperators:
+        """Implement the ``IS NOT DISTINCT FROM`` operator.
+
+        Renders "a IS NOT DISTINCT FROM b" on most platforms;
+        on some such as SQLite may render "a IS b".
+
+        .. versionchanged:: 1.4 The ``is_not_distinct_from()`` operator is
+           renamed from ``isnot_distinct_from()`` in previous releases.
+           The previous name remains available for backwards compatibility.
+
+        """
+        return self.operate(is_not_distinct_from, other)
+
+    # deprecated 1.4; see #5435
+    if TYPE_CHECKING:
+
+        def isnot_distinct_from(self, other: Any) -> ColumnOperators: ...
+
+    else:
+        isnot_distinct_from = is_not_distinct_from
+
+    def __gt__(self, other: Any) -> ColumnOperators:
+        """Implement the ``>`` operator.
+
+        In a column context, produces the clause ``a > b``.
+
+        """
+        return self.operate(gt, other)
+
+    def __ge__(self, other: Any) -> ColumnOperators:
+        """Implement the ``>=`` operator.
+
+        In a column context, produces the clause ``a >= b``.
+
+        """
+        return self.operate(ge, other)
+
+    def __neg__(self) -> ColumnOperators:
+        """Implement the ``-`` operator.
+
+        In a column context, produces the clause ``-a``.
+
+        """
+        return self.operate(neg)
+
+    def __contains__(self, other: Any) -> ColumnOperators:
+        return self.operate(contains, other)
+
+    def __getitem__(self, index: Any) -> ColumnOperators:
+        """Implement the [] operator.
+
+        This can be used by some database-specific types
+        such as PostgreSQL ARRAY and HSTORE.
+
+        """
+        return self.operate(getitem, index)
+
+    def __lshift__(self, other: Any) -> ColumnOperators:
+        """implement the << operator.
+
+        Not used by SQLAlchemy core, this is provided
+        for custom operator systems which want to use
+        << as an extension point.
+        """
+        return self.operate(lshift, other)
+
+    def __rshift__(self, other: Any) -> ColumnOperators:
+        """implement the >> operator.
+
+        Not used by SQLAlchemy core, this is provided
+        for custom operator systems which want to use
+        >> as an extension point.
+        """
+        return self.operate(rshift, other)
+
+    def concat(self, other: Any) -> ColumnOperators:
+        """Implement the 'concat' operator.
+
+        In a column context, produces the clause ``a || b``,
+        or uses the ``concat()`` operator on MySQL.
+
+        """
+        return self.operate(concat_op, other)
+
+    def _rconcat(self, other: Any) -> ColumnOperators:
+        """Implement an 'rconcat' operator.
+
+        this is for internal use at the moment
+
+        .. versionadded:: 1.4.40
+
+        """
+        return self.reverse_operate(concat_op, other)
+
+    def like(
+        self, other: Any, escape: Optional[str] = None
+    ) -> ColumnOperators:
+        r"""Implement the ``like`` operator.
+
+        In a column context, produces the expression:
+
+        .. sourcecode:: sql
+
+            a LIKE other
+
+        E.g.::
+
+            stmt = select(sometable).where(sometable.c.column.like("%foobar%"))
+
+        :param other: expression to be compared
+        :param escape: optional escape character, renders the ``ESCAPE``
+          keyword, e.g.::
+
+            somecolumn.like("foo/%bar", escape="/")
+
+        .. seealso::
+
+            :meth:`.ColumnOperators.ilike`
+
+        """
+        return self.operate(like_op, other, escape=escape)
+
+    def ilike(
+        self, other: Any, escape: Optional[str] = None
+    ) -> ColumnOperators:
+        r"""Implement the ``ilike`` operator, e.g. case insensitive LIKE.
+
+        In a column context, produces an expression either of the form:
+
+        .. sourcecode:: sql
+
+            lower(a) LIKE lower(other)
+
+        Or on backends that support the ILIKE operator:
+
+        .. sourcecode:: sql
+
+            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`
+
+        """  # noqa: E501
+        return self.operate(ilike_op, other, escape=escape)
+
+    def bitwise_xor(self, other: Any) -> ColumnOperators:
+        """Produce a bitwise XOR operation, typically via the ``^``
+        operator, or ``#`` for PostgreSQL.
+
+        .. versionadded:: 2.0.2
+
+        .. seealso::
+
+            :ref:`operators_bitwise`
+
+        """
+
+        return self.operate(bitwise_xor_op, other)
+
+    def bitwise_or(self, other: Any) -> ColumnOperators:
+        """Produce a bitwise OR operation, typically via the ``|``
+        operator.
+
+        .. versionadded:: 2.0.2
+
+        .. seealso::
+
+            :ref:`operators_bitwise`
+
+        """
+
+        return self.operate(bitwise_or_op, other)
+
+    def bitwise_and(self, other: Any) -> ColumnOperators:
+        """Produce a bitwise AND operation, typically via the ``&``
+        operator.
+
+        .. versionadded:: 2.0.2
+
+        .. seealso::
+
+            :ref:`operators_bitwise`
+
+        """
+
+        return self.operate(bitwise_and_op, other)
+
+    def bitwise_not(self) -> ColumnOperators:
+        """Produce a bitwise NOT operation, typically via the ``~``
+        operator.
+
+        .. versionadded:: 2.0.2
+
+        .. seealso::
+
+            :ref:`operators_bitwise`
+
+        """
+
+        return self.operate(bitwise_not_op)
+
+    def bitwise_lshift(self, other: Any) -> ColumnOperators:
+        """Produce a bitwise LSHIFT operation, typically via the ``<<``
+        operator.
+
+        .. versionadded:: 2.0.2
+
+        .. seealso::
+
+            :ref:`operators_bitwise`
+
+        """
+
+        return self.operate(bitwise_lshift_op, other)
+
+    def bitwise_rshift(self, other: Any) -> ColumnOperators:
+        """Produce a bitwise RSHIFT operation, typically via the ``>>``
+        operator.
+
+        .. versionadded:: 2.0.2
+
+        .. seealso::
+
+            :ref:`operators_bitwise`
+
+        """
+
+        return self.operate(bitwise_rshift_op, other)
+
+    def in_(self, other: Any) -> ColumnOperators:
+        """Implement the ``in`` operator.
+
+        In a column context, produces the clause ``column IN <other>``.
+
+        The given parameter ``other`` may be:
+
+        * A list of literal values,
+          e.g.::
+
+            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:
+
+          .. sourcecode:: sql
+
+            WHERE COL IN (?, ?, ?)
+
+        * A list of tuples may be provided if the comparison is against a
+          :func:`.tuple_` containing multiple expressions::
+
+            from sqlalchemy import tuple_
+
+            stmt.where(tuple_(col1, col2).in_([(1, 10), (2, 20), (3, 30)]))
+
+        * An empty list,
+          e.g.::
+
+            stmt.where(column.in_([]))
+
+          In this calling form, the expression renders an "empty set"
+          expression.  These expressions are tailored to individual backends
+          and are generally trying to get an empty SELECT statement as a
+          subquery.  Such as on SQLite, the expression is:
+
+          .. sourcecode:: sql
+
+            WHERE col IN (SELECT 1 FROM (SELECT 1) WHERE 1!=1)
+
+          .. versionchanged:: 1.4  empty IN expressions now use an
+             execution-time generated SELECT subquery in all cases.
+
+        * 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:
+
+          .. sourcecode:: sql
+
+            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:
+
+          .. sourcecode:: sql
+
+            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:
+
+          .. sourcecode:: sql
+
+            WHERE COL IN (SELECT 1 FROM (SELECT 1) WHERE 1!=1)
+
+          .. versionadded:: 1.3 "expanding" bound parameters now support
+             empty lists
+
+        * a :func:`_expression.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:
+
+          .. sourcecode:: sql
+
+            WHERE COL IN (SELECT othertable.y
+            FROM othertable WHERE othertable.x = table.x)
+
+        :param other: a list of literals, a :func:`_expression.select`
+         construct, or a :func:`.bindparam` construct that includes the
+         :paramref:`.bindparam.expanding` flag set to True.
+
+        """  # noqa: E501
+        return self.operate(in_op, other)
+
+    def not_in(self, other: Any) -> ColumnOperators:
+        """implement the ``NOT IN`` operator.
+
+        This is equivalent to using negation with
+        :meth:`.ColumnOperators.in_`, i.e. ``~x.in_(y)``.
+
+        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:`_sa.create_engine.empty_in_strategy` may be used to
+        alter this behavior.
+
+        .. versionchanged:: 1.4 The ``not_in()`` operator is renamed from
+           ``notin_()`` in previous releases.  The previous name remains
+           available for backwards compatibility.
+
+        .. versionchanged:: 1.2  The :meth:`.ColumnOperators.in_` and
+           :meth:`.ColumnOperators.not_in` operators
+           now produce a "static" expression for an empty IN sequence
+           by default.
+
+        .. seealso::
+
+            :meth:`.ColumnOperators.in_`
+
+        """
+        return self.operate(not_in_op, other)
+
+    # deprecated 1.4; see #5429
+    if TYPE_CHECKING:
+
+        def notin_(self, other: Any) -> ColumnOperators: ...
+
+    else:
+        notin_ = not_in
+
+    def not_like(
+        self, other: Any, escape: Optional[str] = None
+    ) -> ColumnOperators:
+        """implement the ``NOT LIKE`` operator.
+
+        This is equivalent to using negation with
+        :meth:`.ColumnOperators.like`, i.e. ``~x.like(y)``.
+
+        .. versionchanged:: 1.4 The ``not_like()`` operator is renamed from
+           ``notlike()`` in previous releases.  The previous name remains
+           available for backwards compatibility.
+
+        .. seealso::
+
+            :meth:`.ColumnOperators.like`
+
+        """
+        return self.operate(not_like_op, other, escape=escape)
+
+    # deprecated 1.4; see #5435
+    if TYPE_CHECKING:
+
+        def notlike(
+            self, other: Any, escape: Optional[str] = None
+        ) -> ColumnOperators: ...
+
+    else:
+        notlike = not_like
+
+    def not_ilike(
+        self, other: Any, escape: Optional[str] = None
+    ) -> ColumnOperators:
+        """implement the ``NOT ILIKE`` operator.
+
+        This is equivalent to using negation with
+        :meth:`.ColumnOperators.ilike`, i.e. ``~x.ilike(y)``.
+
+        .. versionchanged:: 1.4 The ``not_ilike()`` operator is renamed from
+           ``notilike()`` in previous releases.  The previous name remains
+           available for backwards compatibility.
+
+        .. seealso::
+
+            :meth:`.ColumnOperators.ilike`
+
+        """
+        return self.operate(not_ilike_op, other, escape=escape)
+
+    # deprecated 1.4; see #5435
+    if TYPE_CHECKING:
+
+        def notilike(
+            self, other: Any, escape: Optional[str] = None
+        ) -> ColumnOperators: ...
+
+    else:
+        notilike = not_ilike
+
+    def is_(self, other: Any) -> ColumnOperators:
+        """Implement the ``IS`` operator.
+
+        Normally, ``IS`` is generated automatically when comparing to a
+        value of ``None``, which resolves to ``NULL``.  However, explicit
+        usage of ``IS`` may be desirable if comparing to boolean values
+        on certain platforms.
+
+        .. seealso:: :meth:`.ColumnOperators.is_not`
+
+        """
+        return self.operate(is_, other)
+
+    def is_not(self, other: Any) -> ColumnOperators:
+        """Implement the ``IS NOT`` operator.
+
+        Normally, ``IS NOT`` is generated automatically when comparing to a
+        value of ``None``, which resolves to ``NULL``.  However, explicit
+        usage of ``IS NOT`` may be desirable if comparing to boolean values
+        on certain platforms.
+
+        .. versionchanged:: 1.4 The ``is_not()`` operator is renamed from
+           ``isnot()`` in previous releases.  The previous name remains
+           available for backwards compatibility.
+
+        .. seealso:: :meth:`.ColumnOperators.is_`
+
+        """
+        return self.operate(is_not, other)
+
+    # deprecated 1.4; see #5429
+    if TYPE_CHECKING:
+
+        def isnot(self, other: Any) -> ColumnOperators: ...
+
+    else:
+        isnot = is_not
+
+    def startswith(
+        self,
+        other: Any,
+        escape: Optional[str] = None,
+        autoescape: bool = False,
+    ) -> ColumnOperators:
+        r"""Implement the ``startswith`` operator.
+
+        Produces a LIKE expression that tests against a match for the start
+        of a string value:
+
+        .. sourcecode:: sql
+
+            column LIKE <other> || '%'
+
+        E.g.::
+
+            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:
+
+          .. sourcecode:: sql
+
+            somecolumn LIKE :param || '%' ESCAPE '/'
+
+          With the value of ``:param`` as ``"foo/%bar"``.
+
+        :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:
+
+          .. sourcecode:: sql
+
+            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`
+
+        """  # noqa: E501
+        return self.operate(
+            startswith_op, other, escape=escape, autoescape=autoescape
+        )
+
+    def istartswith(
+        self,
+        other: Any,
+        escape: Optional[str] = None,
+        autoescape: bool = False,
+    ) -> ColumnOperators:
+        r"""Implement the ``istartswith`` operator, e.g. case insensitive
+        version of :meth:`.ColumnOperators.startswith`.
+
+        Produces a LIKE expression that tests against an insensitive
+        match for the start of a string value:
+
+        .. sourcecode:: sql
+
+            lower(column) LIKE lower(<other>) || '%'
+
+        E.g.::
+
+            stmt = select(sometable).where(sometable.c.column.istartswith("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.istartswith.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.istartswith.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.istartswith.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.istartswith("foo%bar", autoescape=True)
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            lower(somecolumn) LIKE lower(:param) || '%' ESCAPE '/'
+
+          With the value of ``:param`` as ``"foo/%bar"``.
+
+        :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.istartswith("foo/%bar", escape="^")
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            lower(somecolumn) LIKE lower(:param) || '%' ESCAPE '^'
+
+          The parameter may also be combined with
+          :paramref:`.ColumnOperators.istartswith.autoescape`::
+
+            somecolumn.istartswith("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`
+        """  # noqa: E501
+        return self.operate(
+            istartswith_op, other, escape=escape, autoescape=autoescape
+        )
+
+    def endswith(
+        self,
+        other: Any,
+        escape: Optional[str] = None,
+        autoescape: bool = False,
+    ) -> ColumnOperators:
+        r"""Implement the 'endswith' operator.
+
+        Produces a LIKE expression that tests against a match for the end
+        of a string value:
+
+        .. sourcecode:: sql
+
+            column LIKE '%' || <other>
+
+        E.g.::
+
+            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:
+
+          .. sourcecode:: sql
+
+            somecolumn LIKE '%' || :param ESCAPE '/'
+
+          With the value of ``:param`` as ``"foo/%bar"``.
+
+        :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:
+
+          .. sourcecode:: sql
+
+            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`
+
+        """  # noqa: E501
+        return self.operate(
+            endswith_op, other, escape=escape, autoescape=autoescape
+        )
+
+    def iendswith(
+        self,
+        other: Any,
+        escape: Optional[str] = None,
+        autoescape: bool = False,
+    ) -> ColumnOperators:
+        r"""Implement the ``iendswith`` operator, e.g. case insensitive
+        version of :meth:`.ColumnOperators.endswith`.
+
+        Produces a LIKE expression that tests against an insensitive match
+        for the end of a string value:
+
+        .. sourcecode:: sql
+
+            lower(column) LIKE '%' || lower(<other>)
+
+        E.g.::
+
+            stmt = select(sometable).where(sometable.c.column.iendswith("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.iendswith.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.iendswith.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.iendswith.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.iendswith("foo%bar", autoescape=True)
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            lower(somecolumn) LIKE '%' || lower(:param) ESCAPE '/'
+
+          With the value of ``:param`` as ``"foo/%bar"``.
+
+        :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.iendswith("foo/%bar", escape="^")
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            lower(somecolumn) LIKE '%' || lower(:param) ESCAPE '^'
+
+          The parameter may also be combined with
+          :paramref:`.ColumnOperators.iendswith.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.endswith`
+        """  # noqa: E501
+        return self.operate(
+            iendswith_op, other, escape=escape, autoescape=autoescape
+        )
+
+    def contains(self, other: Any, **kw: Any) -> ColumnOperators:
+        r"""Implement the 'contains' operator.
+
+        Produces a LIKE expression that tests against a match for the middle
+        of a string value:
+
+        .. sourcecode:: sql
+
+            column LIKE '%' || <other> || '%'
+
+        E.g.::
+
+            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
+        and not as wildcard characters.  Alternatively, the
+        :paramref:`.ColumnOperators.contains.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.contains.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.contains("foo%bar", autoescape=True)
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            somecolumn LIKE '%' || :param || '%' ESCAPE '/'
+
+          With the value of ``:param`` as ``"foo/%bar"``.
+
+        :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.contains("foo/%bar", escape="^")
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            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`
+
+            :meth:`.ColumnOperators.endswith`
+
+            :meth:`.ColumnOperators.like`
+
+
+        """  # noqa: E501
+        return self.operate(contains_op, other, **kw)
+
+    def icontains(self, other: Any, **kw: Any) -> ColumnOperators:
+        r"""Implement the ``icontains`` operator, e.g. case insensitive
+        version of :meth:`.ColumnOperators.contains`.
+
+        Produces a LIKE expression that tests against an insensitive match
+        for the middle of a string value:
+
+        .. sourcecode:: sql
+
+            lower(column) LIKE '%' || lower(<other>) || '%'
+
+        E.g.::
+
+            stmt = select(sometable).where(sometable.c.column.icontains("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.icontains.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.icontains.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.icontains.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.icontains("foo%bar", autoescape=True)
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            lower(somecolumn) LIKE '%' || lower(:param) || '%' ESCAPE '/'
+
+          With the value of ``:param`` as ``"foo/%bar"``.
+
+        :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.icontains("foo/%bar", escape="^")
+
+          Will render as:
+
+          .. sourcecode:: sql
+
+            lower(somecolumn) LIKE '%' || lower(:param) || '%' ESCAPE '^'
+
+          The parameter may also be combined with
+          :paramref:`.ColumnOperators.contains.autoescape`::
+
+            somecolumn.icontains("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.contains`
+
+        """  # noqa: E501
+        return self.operate(icontains_op, other, **kw)
+
+    def match(self, other: Any, **kwargs: Any) -> ColumnOperators:
+        """Implements a database-specific 'match' operator.
+
+        :meth:`_sql.ColumnOperators.match` attempts to resolve to
+        a MATCH-like function or operator provided by the backend.
+        Examples include:
+
+        * PostgreSQL - renders ``x @@ plainto_tsquery(y)``
+
+            .. versionchanged:: 2.0  ``plainto_tsquery()`` is used instead
+               of ``to_tsquery()`` for PostgreSQL now; for compatibility with
+               other forms, see :ref:`postgresql_match`.
+
+
+        * MySQL - renders ``MATCH (x) AGAINST (y IN BOOLEAN MODE)``
+
+          .. seealso::
+
+                :class:`_mysql.match` - MySQL specific construct with
+                additional features.
+
+        * Oracle Database - renders ``CONTAINS(x, y)``
+        * other backends may provide special implementations.
+        * Backends without any special implementation will emit
+          the operator as "MATCH".  This is compatible with SQLite, for
+          example.
+
+        """
+        return self.operate(match_op, other, **kwargs)
+
+    def regexp_match(
+        self, pattern: Any, flags: Optional[str] = None
+    ) -> ColumnOperators:
+        """Implements a database-specific 'regexp match' operator.
+
+        E.g.::
+
+            stmt = select(table.c.some_column).where(
+                table.c.some_column.regexp_match("^(b|c)")
+            )
+
+        :meth:`_sql.ColumnOperators.regexp_match` attempts to resolve to
+        a REGEXP-like function or operator provided by the backend, however
+        the specific regular expression syntax and flags available are
+        **not backend agnostic**.
+
+        Examples include:
+
+        * PostgreSQL - renders ``x ~ y`` or ``x !~ y`` when negated.
+        * Oracle Database - renders ``REGEXP_LIKE(x, y)``
+        * SQLite - uses SQLite's ``REGEXP`` placeholder operator and calls into
+          the Python ``re.match()`` builtin.
+        * other backends may provide special implementations.
+        * Backends without any special implementation will emit
+          the operator as "REGEXP" or "NOT REGEXP".  This is compatible with
+          SQLite and MySQL, for example.
+
+        Regular expression support is currently implemented for Oracle
+        Database, PostgreSQL, MySQL and MariaDB.  Partial support is available
+        for SQLite.  Support among third-party dialects may vary.
+
+        :param pattern: The regular expression pattern string or column
+          clause.
+        :param flags: Any regular expression string flags to apply, passed as
+          plain Python string only.  These flags are backend specific.
+          Some backends, like PostgreSQL and MariaDB, may alternatively
+          specify the flags as part of the pattern.
+          When using the ignore case flag 'i' in PostgreSQL, the ignore case
+          regexp match operator ``~*`` or ``!~*`` will be used.
+
+        .. versionadded:: 1.4
+
+        .. versionchanged:: 1.4.48, 2.0.18  Note that due to an implementation
+           error, the "flags" parameter previously accepted SQL expression
+           objects such as column expressions in addition to plain Python
+           strings.   This implementation did not work correctly with caching
+           and was removed; strings only should be passed for the "flags"
+           parameter, as these flags are rendered as literal inline values
+           within SQL expressions.
+
+        .. seealso::
+
+            :meth:`_sql.ColumnOperators.regexp_replace`
+
+
+        """
+        return self.operate(regexp_match_op, pattern, flags=flags)
+
+    def regexp_replace(
+        self, pattern: Any, replacement: Any, flags: Optional[str] = None
+    ) -> ColumnOperators:
+        """Implements a database-specific 'regexp replace' operator.
+
+        E.g.::
+
+            stmt = select(
+                table.c.some_column.regexp_replace("b(..)", "X\1Y", flags="g")
+            )
+
+        :meth:`_sql.ColumnOperators.regexp_replace` attempts to resolve to
+        a REGEXP_REPLACE-like function provided by the backend, that
+        usually emit the function ``REGEXP_REPLACE()``.  However,
+        the specific regular expression syntax and flags available are
+        **not backend agnostic**.
+
+        Regular expression replacement support is currently implemented for
+        Oracle Database, PostgreSQL, MySQL 8 or greater and MariaDB.  Support
+        among third-party dialects may vary.
+
+        :param pattern: The regular expression pattern string or column
+          clause.
+        :param pattern: The replacement string or column clause.
+        :param flags: Any regular expression string flags to apply, passed as
+          plain Python string only.  These flags are backend specific.
+          Some backends, like PostgreSQL and MariaDB, may alternatively
+          specify the flags as part of the pattern.
+
+        .. versionadded:: 1.4
+
+        .. versionchanged:: 1.4.48, 2.0.18  Note that due to an implementation
+           error, the "flags" parameter previously accepted SQL expression
+           objects such as column expressions in addition to plain Python
+           strings.   This implementation did not work correctly with caching
+           and was removed; strings only should be passed for the "flags"
+           parameter, as these flags are rendered as literal inline values
+           within SQL expressions.
+
+
+        .. seealso::
+
+            :meth:`_sql.ColumnOperators.regexp_match`
+
+        """
+        return self.operate(
+            regexp_replace_op,
+            pattern,
+            replacement=replacement,
+            flags=flags,
+        )
+
+    def desc(self) -> ColumnOperators:
+        """Produce a :func:`_expression.desc` clause against the
+        parent object."""
+        return self.operate(desc_op)
+
+    def asc(self) -> ColumnOperators:
+        """Produce a :func:`_expression.asc` clause against the
+        parent object."""
+        return self.operate(asc_op)
+
+    def nulls_first(self) -> ColumnOperators:
+        """Produce a :func:`_expression.nulls_first` clause against the
+        parent object.
+
+        .. versionchanged:: 1.4 The ``nulls_first()`` operator is
+           renamed from ``nullsfirst()`` in previous releases.
+           The previous name remains available for backwards compatibility.
+        """
+        return self.operate(nulls_first_op)
+
+    # deprecated 1.4; see #5435
+    if TYPE_CHECKING:
+
+        def nullsfirst(self) -> ColumnOperators: ...
+
+    else:
+        nullsfirst = nulls_first
+
+    def nulls_last(self) -> ColumnOperators:
+        """Produce a :func:`_expression.nulls_last` clause against the
+        parent object.
+
+        .. versionchanged:: 1.4 The ``nulls_last()`` operator is
+           renamed from ``nullslast()`` in previous releases.
+           The previous name remains available for backwards compatibility.
+        """
+        return self.operate(nulls_last_op)
+
+    # deprecated 1.4; see #5429
+    if TYPE_CHECKING:
+
+        def nullslast(self) -> ColumnOperators: ...
+
+    else:
+        nullslast = nulls_last
+
+    def collate(self, collation: str) -> ColumnOperators:
+        """Produce a :func:`_expression.collate` clause against
+        the parent object, given the collation string.
+
+        .. seealso::
+
+            :func:`_expression.collate`
+
+        """
+        return self.operate(collate, collation)
+
+    def __radd__(self, other: Any) -> ColumnOperators:
+        """Implement the ``+`` operator in reverse.
+
+        See :meth:`.ColumnOperators.__add__`.
+
+        """
+        return self.reverse_operate(add, other)
+
+    def __rsub__(self, other: Any) -> ColumnOperators:
+        """Implement the ``-`` operator in reverse.
+
+        See :meth:`.ColumnOperators.__sub__`.
+
+        """
+        return self.reverse_operate(sub, other)
+
+    def __rmul__(self, other: Any) -> ColumnOperators:
+        """Implement the ``*`` operator in reverse.
+
+        See :meth:`.ColumnOperators.__mul__`.
+
+        """
+        return self.reverse_operate(mul, other)
+
+    def __rmod__(self, other: Any) -> ColumnOperators:
+        """Implement the ``%`` operator in reverse.
+
+        See :meth:`.ColumnOperators.__mod__`.
+
+        """
+        return self.reverse_operate(mod, other)
+
+    def between(
+        self, cleft: Any, cright: Any, symmetric: bool = False
+    ) -> ColumnOperators:
+        """Produce a :func:`_expression.between` clause against
+        the parent object, given the lower and upper range.
+
+        """
+        return self.operate(between_op, cleft, cright, symmetric=symmetric)
+
+    def distinct(self) -> ColumnOperators:
+        """Produce a :func:`_expression.distinct` clause against the
+        parent object.
+
+        """
+        return self.operate(distinct_op)
+
+    def any_(self) -> ColumnOperators:
+        """Produce an :func:`_expression.any_` clause against the
+        parent object.
+
+        See the documentation for :func:`_sql.any_` for examples.
+
+        .. note:: be sure to not confuse the newer
+            :meth:`_sql.ColumnOperators.any_` method with the **legacy**
+            version of this method, the :meth:`_types.ARRAY.Comparator.any`
+            method that's specific to :class:`_types.ARRAY`, which uses a
+            different calling style.
+
+        """
+        return self.operate(any_op)
+
+    def all_(self) -> ColumnOperators:
+        """Produce an :func:`_expression.all_` clause against the
+        parent object.
+
+        See the documentation for :func:`_sql.all_` for examples.
+
+        .. note:: be sure to not confuse the newer
+            :meth:`_sql.ColumnOperators.all_` method with the **legacy**
+            version of this method, the :meth:`_types.ARRAY.Comparator.all`
+            method that's specific to :class:`_types.ARRAY`, which uses a
+            different calling style.
+
+        """
+        return self.operate(all_op)
+
+    def __add__(self, other: Any) -> ColumnOperators:
+        """Implement the ``+`` operator.
+
+        In a column context, produces the clause ``a + b``
+        if the parent object has non-string affinity.
+        If the parent object has a string affinity,
+        produces the concatenation operator, ``a || b`` -
+        see :meth:`.ColumnOperators.concat`.
+
+        """
+        return self.operate(add, other)
+
+    def __sub__(self, other: Any) -> ColumnOperators:
+        """Implement the ``-`` operator.
+
+        In a column context, produces the clause ``a - b``.
+
+        """
+        return self.operate(sub, other)
+
+    def __mul__(self, other: Any) -> ColumnOperators:
+        """Implement the ``*`` operator.
+
+        In a column context, produces the clause ``a * b``.
+
+        """
+        return self.operate(mul, other)
+
+    def __mod__(self, other: Any) -> ColumnOperators:
+        """Implement the ``%`` operator.
+
+        In a column context, produces the clause ``a % b``.
+
+        """
+        return self.operate(mod, other)
+
+    def __truediv__(self, other: Any) -> ColumnOperators:
+        """Implement the ``/`` operator.
+
+        In a column context, produces the clause ``a / b``, and
+        considers the result type to be numeric.
+
+        .. versionchanged:: 2.0  The truediv operator against two integers
+           is now considered to return a numeric value.    Behavior on specific
+           backends may vary.
+
+        """
+        return self.operate(truediv, other)
+
+    def __rtruediv__(self, other: Any) -> ColumnOperators:
+        """Implement the ``/`` operator in reverse.
+
+        See :meth:`.ColumnOperators.__truediv__`.
+
+        """
+        return self.reverse_operate(truediv, other)
+
+    def __floordiv__(self, other: Any) -> ColumnOperators:
+        """Implement the ``//`` operator.
+
+        In a column context, produces the clause ``a / b``,
+        which is the same as "truediv", but considers the result
+        type to be integer.
+
+        .. versionadded:: 2.0
+
+        """
+        return self.operate(floordiv, other)
+
+    def __rfloordiv__(self, other: Any) -> ColumnOperators:
+        """Implement the ``//`` operator in reverse.
+
+        See :meth:`.ColumnOperators.__floordiv__`.
+
+        """
+        return self.reverse_operate(floordiv, other)
+
+
+_commutative: Set[Any] = {eq, ne, add, mul}
+_comparison: Set[Any] = {eq, ne, lt, gt, ge, le}
+
+
+def _operator_fn(fn: Callable[..., Any]) -> OperatorType:
+    return cast(OperatorType, fn)
+
+
+def commutative_op(fn: _FN) -> _FN:
+    _commutative.add(fn)
+    return fn
+
+
+def comparison_op(fn: _FN) -> _FN:
+    _comparison.add(fn)
+    return fn
+
+
+@_operator_fn
+def from_() -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+@comparison_op
+def function_as_comparison_op() -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+def as_() -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+def exists() -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+def is_true(a: Any) -> Any:
+    raise NotImplementedError()
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def istrue(a: Any) -> Any: ...
+
+else:
+    istrue = is_true
+
+
+@_operator_fn
+def is_false(a: Any) -> Any:
+    raise NotImplementedError()
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def isfalse(a: Any) -> Any: ...
+
+else:
+    isfalse = is_false
+
+
+@comparison_op
+@_operator_fn
+def is_distinct_from(a: Any, b: Any) -> Any:
+    return a.is_distinct_from(b)
+
+
+@comparison_op
+@_operator_fn
+def is_not_distinct_from(a: Any, b: Any) -> Any:
+    return a.is_not_distinct_from(b)
+
+
+# deprecated 1.4; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def isnot_distinct_from(a: Any, b: Any) -> Any: ...
+
+else:
+    isnot_distinct_from = is_not_distinct_from
+
+
+@comparison_op
+@_operator_fn
+def is_(a: Any, b: Any) -> Any:
+    return a.is_(b)
+
+
+@comparison_op
+@_operator_fn
+def is_not(a: Any, b: Any) -> Any:
+    return a.is_not(b)
+
+
+# 1.4 deprecated; see #5429
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def isnot(a: Any, b: Any) -> Any: ...
+
+else:
+    isnot = is_not
+
+
+@_operator_fn
+def collate(a: Any, b: Any) -> Any:
+    return a.collate(b)
+
+
+@_operator_fn
+def op(a: Any, opstring: str, b: Any) -> Any:
+    return a.op(opstring)(b)
+
+
+@comparison_op
+@_operator_fn
+def like_op(a: Any, b: Any, escape: Optional[str] = None) -> Any:
+    return a.like(b, escape=escape)
+
+
+@comparison_op
+@_operator_fn
+def not_like_op(a: Any, b: Any, escape: Optional[str] = None) -> Any:
+    return a.notlike(b, escape=escape)
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notlike_op(a: Any, b: Any, escape: Optional[str] = None) -> Any: ...
+
+else:
+    notlike_op = not_like_op
+
+
+@comparison_op
+@_operator_fn
+def ilike_op(a: Any, b: Any, escape: Optional[str] = None) -> Any:
+    return a.ilike(b, escape=escape)
+
+
+@comparison_op
+@_operator_fn
+def not_ilike_op(a: Any, b: Any, escape: Optional[str] = None) -> Any:
+    return a.not_ilike(b, escape=escape)
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notilike_op(a: Any, b: Any, escape: Optional[str] = None) -> Any: ...
+
+else:
+    notilike_op = not_ilike_op
+
+
+@comparison_op
+@_operator_fn
+def between_op(a: Any, b: Any, c: Any, symmetric: bool = False) -> Any:
+    return a.between(b, c, symmetric=symmetric)
+
+
+@comparison_op
+@_operator_fn
+def not_between_op(a: Any, b: Any, c: Any, symmetric: bool = False) -> Any:
+    return ~a.between(b, c, symmetric=symmetric)
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notbetween_op(
+        a: Any, b: Any, c: Any, symmetric: bool = False
+    ) -> Any: ...
+
+else:
+    notbetween_op = not_between_op
+
+
+@comparison_op
+@_operator_fn
+def in_op(a: Any, b: Any) -> Any:
+    return a.in_(b)
+
+
+@comparison_op
+@_operator_fn
+def not_in_op(a: Any, b: Any) -> Any:
+    return a.not_in(b)
+
+
+# 1.4 deprecated; see #5429
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notin_op(a: Any, b: Any) -> Any: ...
+
+else:
+    notin_op = not_in_op
+
+
+@_operator_fn
+def distinct_op(a: Any) -> Any:
+    return a.distinct()
+
+
+@_operator_fn
+def any_op(a: Any) -> Any:
+    return a.any_()
+
+
+@_operator_fn
+def all_op(a: Any) -> Any:
+    return a.all_()
+
+
+def _escaped_like_impl(
+    fn: Callable[..., Any], other: Any, escape: Optional[str], autoescape: bool
+) -> Any:
+    if autoescape:
+        if autoescape is not True:
+            util.warn(
+                "The autoescape parameter is now a simple boolean True/False"
+            )
+        if escape is None:
+            escape = "/"
+
+        if not isinstance(other, str):
+            raise TypeError("String value expected when autoescape=True")
+
+        if escape not in ("%", "_"):
+            other = other.replace(escape, escape + escape)
+
+        other = other.replace("%", escape + "%").replace("_", escape + "_")
+
+    return fn(other, escape=escape)
+
+
+@comparison_op
+@_operator_fn
+def startswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return _escaped_like_impl(a.startswith, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def not_startswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return ~_escaped_like_impl(a.startswith, b, escape, autoescape)
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notstartswith_op(
+        a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+    ) -> Any: ...
+
+else:
+    notstartswith_op = not_startswith_op
+
+
+@comparison_op
+@_operator_fn
+def istartswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return _escaped_like_impl(a.istartswith, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def not_istartswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return ~_escaped_like_impl(a.istartswith, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def endswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return _escaped_like_impl(a.endswith, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def not_endswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return ~_escaped_like_impl(a.endswith, b, escape, autoescape)
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notendswith_op(
+        a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+    ) -> Any: ...
+
+else:
+    notendswith_op = not_endswith_op
+
+
+@comparison_op
+@_operator_fn
+def iendswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return _escaped_like_impl(a.iendswith, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def not_iendswith_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return ~_escaped_like_impl(a.iendswith, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def contains_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return _escaped_like_impl(a.contains, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def not_contains_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return ~_escaped_like_impl(a.contains, b, escape, autoescape)
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notcontains_op(
+        a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+    ) -> Any: ...
+
+else:
+    notcontains_op = not_contains_op
+
+
+@comparison_op
+@_operator_fn
+def icontains_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return _escaped_like_impl(a.icontains, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def not_icontains_op(
+    a: Any, b: Any, escape: Optional[str] = None, autoescape: bool = False
+) -> Any:
+    return ~_escaped_like_impl(a.icontains, b, escape, autoescape)
+
+
+@comparison_op
+@_operator_fn
+def match_op(a: Any, b: Any, **kw: Any) -> Any:
+    return a.match(b, **kw)
+
+
+@comparison_op
+@_operator_fn
+def regexp_match_op(a: Any, b: Any, flags: Optional[str] = None) -> Any:
+    return a.regexp_match(b, flags=flags)
+
+
+@comparison_op
+@_operator_fn
+def not_regexp_match_op(a: Any, b: Any, flags: Optional[str] = None) -> Any:
+    return ~a.regexp_match(b, flags=flags)
+
+
+@_operator_fn
+def regexp_replace_op(
+    a: Any, b: Any, replacement: Any, flags: Optional[str] = None
+) -> Any:
+    return a.regexp_replace(b, replacement=replacement, flags=flags)
+
+
+@comparison_op
+@_operator_fn
+def not_match_op(a: Any, b: Any, **kw: Any) -> Any:
+    return ~a.match(b, **kw)
+
+
+# 1.4 deprecated; see #5429
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def notmatch_op(a: Any, b: Any, **kw: Any) -> Any: ...
+
+else:
+    notmatch_op = not_match_op
+
+
+@_operator_fn
+def comma_op(a: Any, b: Any) -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+def filter_op(a: Any, b: Any) -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+def concat_op(a: Any, b: Any) -> Any:
+    try:
+        concat = a.concat
+    except AttributeError:
+        return b._rconcat(a)
+    else:
+        return concat(b)
+
+
+@_operator_fn
+def desc_op(a: Any) -> Any:
+    return a.desc()
+
+
+@_operator_fn
+def asc_op(a: Any) -> Any:
+    return a.asc()
+
+
+@_operator_fn
+def nulls_first_op(a: Any) -> Any:
+    return a.nulls_first()
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def nullsfirst_op(a: Any) -> Any: ...
+
+else:
+    nullsfirst_op = nulls_first_op
+
+
+@_operator_fn
+def nulls_last_op(a: Any) -> Any:
+    return a.nulls_last()
+
+
+# 1.4 deprecated; see #5435
+if TYPE_CHECKING:
+
+    @_operator_fn
+    def nullslast_op(a: Any) -> Any: ...
+
+else:
+    nullslast_op = nulls_last_op
+
+
+@_operator_fn
+def json_getitem_op(a: Any, b: Any) -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+def json_path_getitem_op(a: Any, b: Any) -> Any:
+    raise NotImplementedError()
+
+
+@_operator_fn
+def bitwise_xor_op(a: Any, b: Any) -> Any:
+    return a.bitwise_xor(b)
+
+
+@_operator_fn
+def bitwise_or_op(a: Any, b: Any) -> Any:
+    return a.bitwise_or(b)
+
+
+@_operator_fn
+def bitwise_and_op(a: Any, b: Any) -> Any:
+    return a.bitwise_and(b)
+
+
+@_operator_fn
+def bitwise_not_op(a: Any) -> Any:
+    return a.bitwise_not()
+
+
+@_operator_fn
+def bitwise_lshift_op(a: Any, b: Any) -> Any:
+    return a.bitwise_lshift(b)
+
+
+@_operator_fn
+def bitwise_rshift_op(a: Any, b: Any) -> Any:
+    return a.bitwise_rshift(b)
+
+
+def is_comparison(op: OperatorType) -> bool:
+    return op in _comparison or isinstance(op, custom_op) and op.is_comparison
+
+
+def is_commutative(op: OperatorType) -> bool:
+    return op in _commutative
+
+
+def is_ordering_modifier(op: OperatorType) -> bool:
+    return op in (asc_op, desc_op, nulls_first_op, nulls_last_op)
+
+
+def is_natural_self_precedent(op: OperatorType) -> bool:
+    return (
+        op in _natural_self_precedent
+        or isinstance(op, custom_op)
+        and op.natural_self_precedent
+    )
+
+
+_booleans = (inv, is_true, is_false, and_, or_)
+
+
+def is_boolean(op: OperatorType) -> bool:
+    return is_comparison(op) or op in _booleans
+
+
+_mirror = {gt: lt, ge: le, lt: gt, le: ge}
+
+
+def mirror(op: OperatorType) -> OperatorType:
+    """rotate a comparison operator 180 degrees.
+
+    Note this is not the same as negation.
+
+    """
+    return _mirror.get(op, op)
+
+
+_associative = _commutative.union([concat_op, and_, or_]).difference([eq, ne])
+
+
+def is_associative(op: OperatorType) -> bool:
+    return op in _associative
+
+
+def is_order_by_modifier(op: Optional[OperatorType]) -> bool:
+    return op in _order_by_modifier
+
+
+_order_by_modifier = {desc_op, asc_op, nulls_first_op, nulls_last_op}
+
+_natural_self_precedent = _associative.union(
+    [getitem, json_getitem_op, json_path_getitem_op]
+)
+"""Operators where if we have (a op b) op c, we don't want to
+parenthesize (a op b).
+
+"""
+
+
+@_operator_fn
+def _asbool(a: Any) -> Any:
+    raise NotImplementedError()
+
+
+class _OpLimit(IntEnum):
+    _smallest = -100
+    _largest = 100
+
+
+_PRECEDENCE: Dict[OperatorType, int] = {
+    from_: 15,
+    function_as_comparison_op: 15,
+    any_op: 15,
+    all_op: 15,
+    getitem: 15,
+    json_getitem_op: 15,
+    json_path_getitem_op: 15,
+    mul: 8,
+    truediv: 8,
+    floordiv: 8,
+    mod: 8,
+    neg: 8,
+    bitwise_not_op: 8,
+    add: 7,
+    sub: 7,
+    bitwise_xor_op: 7,
+    bitwise_or_op: 7,
+    bitwise_and_op: 7,
+    bitwise_lshift_op: 7,
+    bitwise_rshift_op: 7,
+    filter_op: 6,
+    concat_op: 5,
+    match_op: 5,
+    not_match_op: 5,
+    regexp_match_op: 5,
+    not_regexp_match_op: 5,
+    regexp_replace_op: 5,
+    ilike_op: 5,
+    not_ilike_op: 5,
+    like_op: 5,
+    not_like_op: 5,
+    in_op: 5,
+    not_in_op: 5,
+    is_: 5,
+    is_not: 5,
+    eq: 5,
+    ne: 5,
+    is_distinct_from: 5,
+    is_not_distinct_from: 5,
+    gt: 5,
+    lt: 5,
+    ge: 5,
+    le: 5,
+    between_op: 5,
+    not_between_op: 5,
+    distinct_op: 5,
+    inv: 5,
+    is_true: 5,
+    is_false: 5,
+    and_: 3,
+    or_: 2,
+    comma_op: -1,
+    desc_op: 3,
+    asc_op: 3,
+    collate: 4,
+    as_: -1,
+    exists: 0,
+    _asbool: -10,
+}
+
+
+def is_precedent(
+    operator: OperatorType, against: Optional[OperatorType]
+) -> bool:
+    if operator is against and is_natural_self_precedent(operator):
+        return False
+    elif against is None:
+        return True
+    else:
+        return bool(
+            _PRECEDENCE.get(
+                operator, getattr(operator, "precedence", _OpLimit._smallest)
+            )
+            <= _PRECEDENCE.get(
+                against, getattr(against, "precedence", _OpLimit._largest)
+            )
+        )