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+# cyextension/collections.pyx
+# Copyright (C) 2005-2024 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
+cimport cython
+from cpython.long cimport PyLong_FromLongLong
+from cpython.set cimport PySet_Add
+
+from collections.abc import Collection
+from itertools import filterfalse
+
+cdef bint add_not_present(set seen, object item, hashfunc):
+    hash_value = hashfunc(item)
+    if hash_value not in seen:
+        PySet_Add(seen, hash_value)
+        return True
+    else:
+        return False
+
+cdef list cunique_list(seq, hashfunc=None):
+    cdef set seen = set()
+    if not hashfunc:
+        return [x for x in seq if x not in seen and not PySet_Add(seen, x)]
+    else:
+        return [x for x in seq if add_not_present(seen, x, hashfunc)]
+
+def unique_list(seq, hashfunc=None):
+    return cunique_list(seq, hashfunc)
+
+cdef class OrderedSet(set):
+
+    cdef list _list
+
+    @classmethod
+    def __class_getitem__(cls, key):
+        return cls
+
+    def __init__(self, d=None):
+        set.__init__(self)
+        if d is not None:
+            self._list = cunique_list(d)
+            set.update(self, self._list)
+        else:
+            self._list = []
+
+    cpdef OrderedSet copy(self):
+        cdef OrderedSet cp = OrderedSet.__new__(OrderedSet)
+        cp._list = list(self._list)
+        set.update(cp, cp._list)
+        return cp
+
+    @cython.final
+    cdef OrderedSet _from_list(self, list new_list):
+        cdef OrderedSet new = OrderedSet.__new__(OrderedSet)
+        new._list = new_list
+        set.update(new, new_list)
+        return new
+
+    def add(self, element):
+        if element not in self:
+            self._list.append(element)
+            PySet_Add(self, element)
+
+    def remove(self, element):
+        # set.remove will raise if element is not in self
+        set.remove(self, element)
+        self._list.remove(element)
+
+    def pop(self):
+        try:
+            value = self._list.pop()
+        except IndexError:
+            raise KeyError("pop from an empty set") from None
+        set.remove(self, value)
+        return value
+
+    def insert(self, Py_ssize_t pos, element):
+        if element not in self:
+            self._list.insert(pos, element)
+            PySet_Add(self, element)
+
+    def discard(self, element):
+        if element in self:
+            set.remove(self, element)
+            self._list.remove(element)
+
+    def clear(self):
+        set.clear(self)
+        self._list = []
+
+    def __getitem__(self, key):
+        return self._list[key]
+
+    def __iter__(self):
+        return iter(self._list)
+
+    def __add__(self, other):
+        return self.union(other)
+
+    def __repr__(self):
+        return "%s(%r)" % (self.__class__.__name__, self._list)
+
+    __str__ = __repr__
+
+    def update(self, *iterables):
+        for iterable in iterables:
+            for e in iterable:
+                if e not in self:
+                    self._list.append(e)
+                    set.add(self, e)
+
+    def __ior__(self, iterable):
+        self.update(iterable)
+        return self
+
+    def union(self, *other):
+        result = self.copy()
+        result.update(*other)
+        return result
+
+    def __or__(self, other):
+        return self.union(other)
+
+    def intersection(self, *other):
+        cdef set other_set = set.intersection(self, *other)
+        return self._from_list([a for a in self._list if a in other_set])
+
+    def __and__(self, other):
+        return self.intersection(other)
+
+    def symmetric_difference(self, other):
+        cdef set other_set
+        if isinstance(other, set):
+            other_set = <set> other
+            collection = other_set
+        elif isinstance(other, Collection):
+            collection = other
+            other_set = set(other)
+        else:
+            collection = list(other)
+            other_set = set(collection)
+        result = self._from_list([a for a in self._list if a not in other_set])
+        result.update(a for a in collection if a not in self)
+        return result
+
+    def __xor__(self, other):
+        return self.symmetric_difference(other)
+
+    def difference(self, *other):
+        cdef set other_set = set.difference(self, *other)
+        return self._from_list([a for a in self._list if a in other_set])
+
+    def __sub__(self, other):
+        return self.difference(other)
+
+    def intersection_update(self, *other):
+        set.intersection_update(self, *other)
+        self._list = [a for a in self._list if a in self]
+
+    def __iand__(self, other):
+        self.intersection_update(other)
+        return self
+
+    cpdef symmetric_difference_update(self, other):
+        collection = other if isinstance(other, Collection) else list(other)
+        set.symmetric_difference_update(self, collection)
+        self._list = [a for a in self._list if a in self]
+        self._list += [a for a in collection if a in self]
+
+    def __ixor__(self, other):
+        self.symmetric_difference_update(other)
+        return self
+
+    def difference_update(self, *other):
+        set.difference_update(self, *other)
+        self._list = [a for a in self._list if a in self]
+
+    def __isub__(self, other):
+        self.difference_update(other)
+        return self
+
+cdef object cy_id(object item):
+    return PyLong_FromLongLong(<long long> (<void *>item))
+
+# NOTE: cython 0.x will call __add__, __sub__, etc with the parameter swapped
+# instead of the __rmeth__, so they need to check that also self is of the
+# correct type. This is fixed in cython 3.x. See:
+# https://docs.cython.org/en/latest/src/userguide/special_methods.html#arithmetic-methods
+cdef class IdentitySet:
+    """A set that considers only object id() for uniqueness.
+
+    This strategy has edge cases for builtin types- it's possible to have
+    two 'foo' strings in one of these sets, for example.  Use sparingly.
+
+    """
+
+    cdef dict _members
+
+    def __init__(self, iterable=None):
+        self._members = {}
+        if iterable:
+            self.update(iterable)
+
+    def add(self, value):
+        self._members[cy_id(value)] = value
+
+    def __contains__(self, value):
+        return cy_id(value) in self._members
+
+    cpdef remove(self, value):
+        del self._members[cy_id(value)]
+
+    def discard(self, value):
+        try:
+            self.remove(value)
+        except KeyError:
+            pass
+
+    def pop(self):
+        cdef tuple pair
+        try:
+            pair = self._members.popitem()
+            return pair[1]
+        except KeyError:
+            raise KeyError("pop from an empty set")
+
+    def clear(self):
+        self._members.clear()
+
+    def __eq__(self, other):
+        cdef IdentitySet other_
+        if isinstance(other, IdentitySet):
+            other_ = other
+            return self._members == other_._members
+        else:
+            return False
+
+    def __ne__(self, other):
+        cdef IdentitySet other_
+        if isinstance(other, IdentitySet):
+            other_ = other
+            return self._members != other_._members
+        else:
+            return True
+
+    cpdef issubset(self, iterable):
+        cdef IdentitySet other
+        if isinstance(iterable, self.__class__):
+            other = iterable
+        else:
+            other = self.__class__(iterable)
+
+        if len(self) > len(other):
+            return False
+        for m in filterfalse(other._members.__contains__, self._members):
+            return False
+        return True
+
+    def __le__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        return self.issubset(other)
+
+    def __lt__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        return len(self) < len(other) and self.issubset(other)
+
+    cpdef issuperset(self, iterable):
+        cdef IdentitySet other
+        if isinstance(iterable, self.__class__):
+            other = iterable
+        else:
+            other = self.__class__(iterable)
+
+        if len(self) < len(other):
+            return False
+        for m in filterfalse(self._members.__contains__, other._members):
+            return False
+        return True
+
+    def __ge__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        return self.issuperset(other)
+
+    def __gt__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        return len(self) > len(other) and self.issuperset(other)
+
+    cpdef IdentitySet union(self, iterable):
+        cdef IdentitySet result = self.__class__()
+        result._members.update(self._members)
+        result.update(iterable)
+        return result
+
+    def __or__(self, other):
+        if not isinstance(other, IdentitySet) or not isinstance(self, IdentitySet):
+            return NotImplemented
+        return self.union(other)
+
+    cpdef update(self, iterable):
+        for obj in iterable:
+            self._members[cy_id(obj)] = obj
+
+    def __ior__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        self.update(other)
+        return self
+
+    cpdef IdentitySet difference(self, iterable):
+        cdef IdentitySet result = self.__new__(self.__class__)
+        if isinstance(iterable, self.__class__):
+            other = (<IdentitySet>iterable)._members
+        else:
+            other = {cy_id(obj) for obj in iterable}
+        result._members = {k:v for k, v in self._members.items() if k not in other}
+        return result
+
+    def __sub__(self, other):
+        if not isinstance(other, IdentitySet) or not isinstance(self, IdentitySet):
+            return NotImplemented
+        return self.difference(other)
+
+    cpdef difference_update(self, iterable):
+        cdef IdentitySet other = self.difference(iterable)
+        self._members = other._members
+
+    def __isub__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        self.difference_update(other)
+        return self
+
+    cpdef IdentitySet intersection(self, iterable):
+        cdef IdentitySet result = self.__new__(self.__class__)
+        if isinstance(iterable, self.__class__):
+            other = (<IdentitySet>iterable)._members
+        else:
+            other = {cy_id(obj) for obj in iterable}
+        result._members = {k: v for k, v in self._members.items() if k in other}
+        return result
+
+    def __and__(self, other):
+        if not isinstance(other, IdentitySet) or not isinstance(self, IdentitySet):
+            return NotImplemented
+        return self.intersection(other)
+
+    cpdef intersection_update(self, iterable):
+        cdef IdentitySet other = self.intersection(iterable)
+        self._members = other._members
+
+    def __iand__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        self.intersection_update(other)
+        return self
+
+    cpdef IdentitySet symmetric_difference(self, iterable):
+        cdef IdentitySet result = self.__new__(self.__class__)
+        cdef dict other
+        if isinstance(iterable, self.__class__):
+            other = (<IdentitySet>iterable)._members
+        else:
+            other = {cy_id(obj): obj for obj in iterable}
+        result._members = {k: v for k, v in self._members.items() if k not in other}
+        result._members.update(
+            [(k, v) for k, v in other.items() if k not in self._members]
+        )
+        return result
+
+    def __xor__(self, other):
+        if not isinstance(other, IdentitySet) or not isinstance(self, IdentitySet):
+            return NotImplemented
+        return self.symmetric_difference(other)
+
+    cpdef symmetric_difference_update(self, iterable):
+        cdef IdentitySet other = self.symmetric_difference(iterable)
+        self._members = other._members
+
+    def __ixor__(self, other):
+        if not isinstance(other, IdentitySet):
+            return NotImplemented
+        self.symmetric_difference(other)
+        return self
+
+    cpdef IdentitySet copy(self):
+        cdef IdentitySet cp = self.__new__(self.__class__)
+        cp._members = self._members.copy()
+        return cp
+
+    def __copy__(self):
+        return self.copy()
+
+    def __len__(self):
+        return len(self._members)
+
+    def __iter__(self):
+        return iter(self._members.values())
+
+    def __hash__(self):
+        raise TypeError("set objects are unhashable")
+
+    def __repr__(self):
+        return "%s(%r)" % (type(self).__name__, list(self._members.values()))