Add files using upload-large-folder tool

.gitattributes

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 falcon/lib/python3.10/site-packages/sklearn/preprocessing/__pycache__/_data.cpython-310.pyc filter=lfs diff=lfs merge=lfs -text
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evalkit_tf437/lib/python3.10/site-packages/google_cloud_core-2.4.1.dist-info/top_level.txt

@@ -0,0 +1 @@
+google

evalkit_tf437/lib/python3.10/site-packages/googleapis_common_protos-1.65.0.dist-info/LICENSE

@@ -0,0 +1,202 @@
+
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evalkit_tf437/lib/python3.10/site-packages/googleapis_common_protos-1.65.0.dist-info/METADATA

@@ -0,0 +1,36 @@
+Metadata-Version: 2.1
+Name: googleapis-common-protos
+Version: 1.65.0
+Summary: Common protobufs used in Google APIs
+Home-page: https://github.com/googleapis/python-api-common-protos
+Author: Google LLC
+Author-email: googleapis-packages@google.com
+License: Apache-2.0
+Classifier: Development Status :: 5 - Production/Stable
+Classifier: Intended Audience :: Developers
+Classifier: License :: OSI Approved :: Apache Software License
+Classifier: Programming Language :: Python
+Classifier: Programming Language :: Python :: 3
+Classifier: Programming Language :: Python :: 3.7
+Classifier: Programming Language :: Python :: 3.8
+Classifier: Programming Language :: Python :: 3.9
+Classifier: Programming Language :: Python :: 3.10
+Classifier: Programming Language :: Python :: 3.11
+Classifier: Programming Language :: Python :: 3.12
+Classifier: Programming Language :: Python :: Implementation :: CPython
+Requires-Python: >=3.7
+Description-Content-Type: text/markdown
+License-File: LICENSE
+Requires-Dist: protobuf !=3.20.0,!=3.20.1,!=4.21.1,!=4.21.2,!=4.21.3,!=4.21.4,!=4.21.5,<6.0.0.dev0,>=3.20.2
+Provides-Extra: grpc
+Requires-Dist: grpcio <2.0.0.dev0,>=1.44.0 ; extra == 'grpc'
+
+Google APIs common protos
+-------------------------
+
+.. image:: https://img.shields.io/pypi/v/googleapis-common-protos.svg
+    :target: https://pypi.org/project/googleapis-common-protos/
+
+
+googleapis-common-protos contains the python classes generated from the common
+protos in the `googleapis/googleapis <https://github.com/googleapis/googleapis>`_ repository.

evalkit_tf437/lib/python3.10/site-packages/googleapis_common_protos-1.65.0.dist-info/WHEEL

@@ -0,0 +1,6 @@
+Wheel-Version: 1.0
+Generator: setuptools (70.2.0)
+Root-Is-Purelib: true
+Tag: py2-none-any
+Tag: py3-none-any
+

evalkit_tf437/lib/python3.10/site-packages/googleapis_common_protos-1.65.0.dist-info/top_level.txt

@@ -0,0 +1 @@
+google

evalkit_tf437/lib/python3.10/site-packages/shellingham-1.5.4.dist-info/LICENSE

@@ -0,0 +1,13 @@
+Copyright (c) 2018, Tzu-ping Chung <uranusjr@gmail.com>
+
+Permission to use, copy, modify, and distribute this software for any
+purpose with or without fee is hereby granted, provided that the above
+copyright notice and this permission notice appear in all copies.
+
+THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

evalkit_tf437/lib/python3.10/site-packages/shellingham-1.5.4.dist-info/METADATA

@@ -0,0 +1,106 @@
+Metadata-Version: 2.1
+Name: shellingham
+Version: 1.5.4
+Summary: Tool to Detect Surrounding Shell
+Home-page: https://github.com/sarugaku/shellingham
+Author: Tzu-ping Chung
+Author-email: uranusjr@gmail.com
+License: ISC License
+Keywords: shell
+Classifier: Development Status :: 3 - Alpha
+Classifier: Environment :: Console
+Classifier: Intended Audience :: Developers
+Classifier: License :: OSI Approved :: ISC License (ISCL)
+Classifier: Operating System :: OS Independent
+Classifier: Programming Language :: Python :: 3 :: Only
+Classifier: Programming Language :: Python :: 3.7
+Classifier: Programming Language :: Python :: 3.8
+Classifier: Programming Language :: Python :: 3.9
+Classifier: Programming Language :: Python :: 3.10
+Classifier: Programming Language :: Python :: 3.11
+Classifier: Programming Language :: Python :: 3.12
+Classifier: Topic :: Software Development :: Libraries :: Python Modules
+Requires-Python: >=3.7
+Description-Content-Type: text/x-rst
+License-File: LICENSE
+
+=============================================
+Shellingham: Tool to Detect Surrounding Shell
+=============================================
+
+.. image:: https://img.shields.io/pypi/v/shellingham.svg
+    :target: https://pypi.org/project/shellingham/
+
+Shellingham detects what shell the current Python executable is running in.
+
+
+Usage
+=====
+
+.. code-block:: python
+
+    >>> import shellingham
+    >>> shellingham.detect_shell()
+    ('bash', '/bin/bash')
+
+``detect_shell`` pokes around the process's running environment to determine
+what shell it is run in. It returns a 2-tuple:
+
+* The shell name, always lowercased.
+* The command used to run the shell.
+
+``ShellDetectionFailure`` is raised if ``detect_shell`` fails to detect the
+surrounding shell.
+
+
+Notes
+=====
+
+* The shell name is always lowercased.
+* On Windows, the shell name is the name of the executable, minus the file
+  extension.
+
+
+Notes for Application Developers
+================================
+
+Remember, your application's user is not necessarily using a shell.
+Shellingham raises ``ShellDetectionFailure`` if there is no shell to detect,
+but *your application should almost never do this to your user*.
+
+A practical approach to this is to wrap ``detect_shell`` in a try block, and
+provide a sane default on failure
+
+.. code-block:: python
+
+    try:
+        shell = shellingham.detect_shell()
+    except shellingham.ShellDetectionFailure:
+        shell = provide_default()
+
+
+There are a few choices for you to choose from.
+
+* The POSIX standard mandates the environment variable ``SHELL`` to refer to
+  "the user's preferred command language interpreter". This is always available
+  (even if the user is not in an interactive session), and likely the correct
+  choice to launch an interactive sub-shell with.
+* A command ``sh`` is almost guaranteed to exist, likely at ``/bin/sh``, since
+  several POSIX tools rely on it. This should be suitable if you want to run a
+  (possibly non-interactive) script.
+* All versions of DOS and Windows have an environment variable ``COMSPEC``.
+  This can always be used to launch a usable command prompt (e.g. `cmd.exe` on
+  Windows).
+
+Here's a simple implementation to provide a default shell
+
+.. code-block:: python
+
+    import os
+
+    def provide_default():
+        if os.name == 'posix':
+            return os.environ['SHELL']
+        elif os.name == 'nt':
+            return os.environ['COMSPEC']
+        raise NotImplementedError(f'OS {os.name!r} support not available')

evalkit_tf437/lib/python3.10/site-packages/shellingham-1.5.4.dist-info/WHEEL

@@ -0,0 +1,6 @@
+Wheel-Version: 1.0
+Generator: bdist_wheel (0.41.2)
+Root-Is-Purelib: true
+Tag: py2-none-any
+Tag: py3-none-any
+

evalkit_tf437/lib/python3.10/site-packages/sympy/sets/__init__.py

@@ -0,0 +1,36 @@
+from .sets import (Set, Interval, Union, FiniteSet, ProductSet,
+        Intersection, imageset, Complement, SymmetricDifference,
+        DisjointUnion)
+
+from .fancysets import ImageSet, Range, ComplexRegion
+from .contains import Contains
+from .conditionset import ConditionSet
+from .ordinals import Ordinal, OmegaPower, ord0
+from .powerset import PowerSet
+from ..core.singleton import S
+from .handlers.comparison import _eval_is_eq  # noqa:F401
+Complexes = S.Complexes
+EmptySet = S.EmptySet
+Integers = S.Integers
+Naturals = S.Naturals
+Naturals0 = S.Naturals0
+Rationals = S.Rationals
+Reals = S.Reals
+UniversalSet = S.UniversalSet
+
+__all__ = [
+    'Set', 'Interval', 'Union', 'EmptySet', 'FiniteSet', 'ProductSet',
+    'Intersection', 'imageset', 'Complement', 'SymmetricDifference', 'DisjointUnion',
+
+    'ImageSet', 'Range', 'ComplexRegion', 'Reals',
+
+    'Contains',
+
+    'ConditionSet',
+
+    'Ordinal', 'OmegaPower', 'ord0',
+
+    'PowerSet',
+
+    'Reals', 'Naturals', 'Naturals0', 'UniversalSet', 'Integers', 'Rationals',
+]

evalkit_tf437/lib/python3.10/site-packages/sympy/sets/tests/test_sets.py

@@ -0,0 +1,1753 @@
+from sympy.concrete.summations import Sum
+from sympy.core.add import Add
+from sympy.core.containers import TupleKind
+from sympy.core.function import Lambda
+from sympy.core.kind import NumberKind, UndefinedKind
+from sympy.core.numbers import (Float, I, Rational, nan, oo, pi, zoo)
+from sympy.core.power import Pow
+from sympy.core.singleton import S
+from sympy.core.symbol import (Symbol, symbols)
+from sympy.core.sympify import sympify
+from sympy.functions.elementary.miscellaneous import (Max, Min, sqrt)
+from sympy.functions.elementary.piecewise import Piecewise
+from sympy.functions.elementary.trigonometric import (cos, sin)
+from sympy.logic.boolalg import (false, true)
+from sympy.matrices.kind import MatrixKind
+from sympy.matrices.dense import Matrix
+from sympy.polys.rootoftools import rootof
+from sympy.sets.contains import Contains
+from sympy.sets.fancysets import (ImageSet, Range)
+from sympy.sets.sets import (Complement, DisjointUnion, FiniteSet, Intersection, Interval, ProductSet, Set, SymmetricDifference, Union, imageset, SetKind)
+from mpmath import mpi
+
+from sympy.core.expr import unchanged
+from sympy.core.relational import Eq, Ne, Le, Lt, LessThan
+from sympy.logic import And, Or, Xor
+from sympy.testing.pytest import raises, XFAIL, warns_deprecated_sympy
+from sympy.utilities.iterables import cartes
+
+from sympy.abc import x, y, z, m, n
+
+EmptySet = S.EmptySet
+
+def test_imageset():
+    ints = S.Integers
+    assert imageset(x, x - 1, S.Naturals) is S.Naturals0
+    assert imageset(x, x + 1, S.Naturals0) is S.Naturals
+    assert imageset(x, abs(x), S.Naturals0) is S.Naturals0
+    assert imageset(x, abs(x), S.Naturals) is S.Naturals
+    assert imageset(x, abs(x), S.Integers) is S.Naturals0
+    # issue 16878a
+    r = symbols('r', real=True)
+    assert imageset(x, (x, x), S.Reals)._contains((1, r)) == None
+    assert imageset(x, (x, x), S.Reals)._contains((1, 2)) == False
+    assert (r, r) in imageset(x, (x, x), S.Reals)
+    assert 1 + I in imageset(x, x + I, S.Reals)
+    assert {1} not in imageset(x, (x,), S.Reals)
+    assert (1, 1) not in imageset(x, (x,), S.Reals)
+    raises(TypeError, lambda: imageset(x, ints))
+    raises(ValueError, lambda: imageset(x, y, z, ints))
+    raises(ValueError, lambda: imageset(Lambda(x, cos(x)), y))
+    assert (1, 2) in imageset(Lambda((x, y), (x, y)), ints, ints)
+    raises(ValueError, lambda: imageset(Lambda(x, x), ints, ints))
+    assert imageset(cos, ints) == ImageSet(Lambda(x, cos(x)), ints)
+    def f(x):
+        return cos(x)
+    assert imageset(f, ints) == imageset(x, cos(x), ints)
+    f = lambda x: cos(x)
+    assert imageset(f, ints) == ImageSet(Lambda(x, cos(x)), ints)
+    assert imageset(x, 1, ints) == FiniteSet(1)
+    assert imageset(x, y, ints) == {y}
+    assert imageset((x, y), (1, z), ints, S.Reals) == {(1, z)}
+    clash = Symbol('x', integer=true)
+    assert (str(imageset(lambda x: x + clash, Interval(-2, 1)).lamda.expr)
+        in ('x0 + x', 'x + x0'))
+    x1, x2 = symbols("x1, x2")
+    assert imageset(lambda x, y:
+        Add(x, y), Interval(1, 2), Interval(2, 3)).dummy_eq(
+        ImageSet(Lambda((x1, x2), x1 + x2),
+        Interval(1, 2), Interval(2, 3)))
+
+
+def test_is_empty():
+    for s in [S.Naturals, S.Naturals0, S.Integers, S.Rationals, S.Reals,
+            S.UniversalSet]:
+        assert s.is_empty is False
+
+    assert S.EmptySet.is_empty is True
+
+
+def test_is_finiteset():
+    for s in [S.Naturals, S.Naturals0, S.Integers, S.Rationals, S.Reals,
+            S.UniversalSet]:
+        assert s.is_finite_set is False
+
+    assert S.EmptySet.is_finite_set is True
+
+    assert FiniteSet(1, 2).is_finite_set is True
+    assert Interval(1, 2).is_finite_set is False
+    assert Interval(x, y).is_finite_set is None
+    assert ProductSet(FiniteSet(1), FiniteSet(2)).is_finite_set is True
+    assert ProductSet(FiniteSet(1), Interval(1, 2)).is_finite_set is False
+    assert ProductSet(FiniteSet(1), Interval(x, y)).is_finite_set is None
+    assert Union(Interval(0, 1), Interval(2, 3)).is_finite_set is False
+    assert Union(FiniteSet(1), Interval(2, 3)).is_finite_set is False
+    assert Union(FiniteSet(1), FiniteSet(2)).is_finite_set is True
+    assert Union(FiniteSet(1), Interval(x, y)).is_finite_set is None
+    assert Intersection(Interval(x, y), FiniteSet(1)).is_finite_set is True
+    assert Intersection(Interval(x, y), Interval(1, 2)).is_finite_set is None
+    assert Intersection(FiniteSet(x), FiniteSet(y)).is_finite_set is True
+    assert Complement(FiniteSet(1), Interval(x, y)).is_finite_set is True
+    assert Complement(Interval(x, y), FiniteSet(1)).is_finite_set is None
+    assert Complement(Interval(1, 2), FiniteSet(x)).is_finite_set is False
+    assert DisjointUnion(Interval(-5, 3), FiniteSet(x, y)).is_finite_set is False
+    assert DisjointUnion(S.EmptySet, FiniteSet(x, y), S.EmptySet).is_finite_set is True
+
+
+def test_deprecated_is_EmptySet():
+    with warns_deprecated_sympy():
+        S.EmptySet.is_EmptySet
+
+    with warns_deprecated_sympy():
+        FiniteSet(1).is_EmptySet
+
+
+def test_interval_arguments():
+    assert Interval(0, oo) == Interval(0, oo, False, True)
+    assert Interval(0, oo).right_open is true
+    assert Interval(-oo, 0) == Interval(-oo, 0, True, False)
+    assert Interval(-oo, 0).left_open is true
+    assert Interval(oo, -oo) == S.EmptySet
+    assert Interval(oo, oo) == S.EmptySet
+    assert Interval(-oo, -oo) == S.EmptySet
+    assert Interval(oo, x) == S.EmptySet
+    assert Interval(oo, oo) == S.EmptySet
+    assert Interval(x, -oo) == S.EmptySet
+    assert Interval(x, x) == {x}
+
+    assert isinstance(Interval(1, 1), FiniteSet)
+    e = Sum(x, (x, 1, 3))
+    assert isinstance(Interval(e, e), FiniteSet)
+
+    assert Interval(1, 0) == S.EmptySet
+    assert Interval(1, 1).measure == 0
+
+    assert Interval(1, 1, False, True) == S.EmptySet
+    assert Interval(1, 1, True, False) == S.EmptySet
+    assert Interval(1, 1, True, True) == S.EmptySet
+
+
+    assert isinstance(Interval(0, Symbol('a')), Interval)
+    assert Interval(Symbol('a', positive=True), 0) == S.EmptySet
+    raises(ValueError, lambda: Interval(0, S.ImaginaryUnit))
+    raises(ValueError, lambda: Interval(0, Symbol('z', extended_real=False)))
+    raises(ValueError, lambda: Interval(x, x + S.ImaginaryUnit))
+
+    raises(NotImplementedError, lambda: Interval(0, 1, And(x, y)))
+    raises(NotImplementedError, lambda: Interval(0, 1, False, And(x, y)))
+    raises(NotImplementedError, lambda: Interval(0, 1, z, And(x, y)))
+
+
+def test_interval_symbolic_end_points():
+    a = Symbol('a', real=True)
+
+    assert Union(Interval(0, a), Interval(0, 3)).sup == Max(a, 3)
+    assert Union(Interval(a, 0), Interval(-3, 0)).inf == Min(-3, a)
+
+    assert Interval(0, a).contains(1) == LessThan(1, a)
+
+
+def test_interval_is_empty():
+    x, y = symbols('x, y')
+    r = Symbol('r', real=True)
+    p = Symbol('p', positive=True)
+    n = Symbol('n', negative=True)
+    nn = Symbol('nn', nonnegative=True)
+    assert Interval(1, 2).is_empty == False
+    assert Interval(3, 3).is_empty == False  # FiniteSet
+    assert Interval(r, r).is_empty == False  # FiniteSet
+    assert Interval(r, r + nn).is_empty == False
+    assert Interval(x, x).is_empty == False
+    assert Interval(1, oo).is_empty == False
+    assert Interval(-oo, oo).is_empty == False
+    assert Interval(-oo, 1).is_empty == False
+    assert Interval(x, y).is_empty == None
+    assert Interval(r, oo).is_empty == False  # real implies finite
+    assert Interval(n, 0).is_empty == False
+    assert Interval(n, 0, left_open=True).is_empty == False
+    assert Interval(p, 0).is_empty == True  # EmptySet
+    assert Interval(nn, 0).is_empty == None
+    assert Interval(n, p).is_empty == False
+    assert Interval(0, p, left_open=True).is_empty == False
+    assert Interval(0, p, right_open=True).is_empty == False
+    assert Interval(0, nn, left_open=True).is_empty == None
+    assert Interval(0, nn, right_open=True).is_empty == None
+
+
+def test_union():
+    assert Union(Interval(1, 2), Interval(2, 3)) == Interval(1, 3)
+    assert Union(Interval(1, 2), Interval(2, 3, True)) == Interval(1, 3)
+    assert Union(Interval(1, 3), Interval(2, 4)) == Interval(1, 4)
+    assert Union(Interval(1, 2), Interval(1, 3)) == Interval(1, 3)
+    assert Union(Interval(1, 3), Interval(1, 2)) == Interval(1, 3)
+    assert Union(Interval(1, 3, False, True), Interval(1, 2)) == \
+        Interval(1, 3, False, True)
+    assert Union(Interval(1, 3), Interval(1, 2, False, True)) == Interval(1, 3)
+    assert Union(Interval(1, 2, True), Interval(1, 3)) == Interval(1, 3)
+    assert Union(Interval(1, 2, True), Interval(1, 3, True)) == \
+        Interval(1, 3, True)
+    assert Union(Interval(1, 2, True), Interval(1, 3, True, True)) == \
+        Interval(1, 3, True, True)
+    assert Union(Interval(1, 2, True, True), Interval(1, 3, True)) == \
+        Interval(1, 3, True)
+    assert Union(Interval(1, 3), Interval(2, 3)) == Interval(1, 3)
+    assert Union(Interval(1, 3, False, True), Interval(2, 3)) == \
+        Interval(1, 3)
+    assert Union(Interval(1, 2, False, True), Interval(2, 3, True)) != \
+        Interval(1, 3)
+    assert Union(Interval(1, 2), S.EmptySet) == Interval(1, 2)
+    assert Union(S.EmptySet) == S.EmptySet
+
+    assert Union(Interval(0, 1), *[FiniteSet(1.0/n) for n in range(1, 10)]) == \
+        Interval(0, 1)
+    # issue #18241:
+    x = Symbol('x')
+    assert Union(Interval(0, 1), FiniteSet(1, x)) == Union(
+        Interval(0, 1), FiniteSet(x))
+    assert unchanged(Union, Interval(0, 1), FiniteSet(2, x))
+
+    assert Interval(1, 2).union(Interval(2, 3)) == \
+        Interval(1, 2) + Interval(2, 3)
+
+    assert Interval(1, 2).union(Interval(2, 3)) == Interval(1, 3)
+
+    assert Union(Set()) == Set()
+
+    assert FiniteSet(1) + FiniteSet(2) + FiniteSet(3) == FiniteSet(1, 2, 3)
+    assert FiniteSet('ham') + FiniteSet('eggs') == FiniteSet('ham', 'eggs')
+    assert FiniteSet(1, 2, 3) + S.EmptySet == FiniteSet(1, 2, 3)
+
+    assert FiniteSet(1, 2, 3) & FiniteSet(2, 3, 4) == FiniteSet(2, 3)
+    assert FiniteSet(1, 2, 3) | FiniteSet(2, 3, 4) == FiniteSet(1, 2, 3, 4)
+
+    assert FiniteSet(1, 2, 3) & S.EmptySet == S.EmptySet
+    assert FiniteSet(1, 2, 3) | S.EmptySet == FiniteSet(1, 2, 3)
+
+    x = Symbol("x")
+    y = Symbol("y")
+    z = Symbol("z")
+    assert S.EmptySet | FiniteSet(x, FiniteSet(y, z)) == \
+        FiniteSet(x, FiniteSet(y, z))
+
+    # Test that Intervals and FiniteSets play nicely
+    assert Interval(1, 3) + FiniteSet(2) == Interval(1, 3)
+    assert Interval(1, 3, True, True) + FiniteSet(3) == \
+        Interval(1, 3, True, False)
+    X = Interval(1, 3) + FiniteSet(5)
+    Y = Interval(1, 2) + FiniteSet(3)
+    XandY = X.intersect(Y)
+    assert 2 in X and 3 in X and 3 in XandY
+    assert XandY.is_subset(X) and XandY.is_subset(Y)
+
+    raises(TypeError, lambda: Union(1, 2, 3))
+
+    assert X.is_iterable is False
+
+    # issue 7843
+    assert Union(S.EmptySet, FiniteSet(-sqrt(-I), sqrt(-I))) == \
+        FiniteSet(-sqrt(-I), sqrt(-I))
+
+    assert Union(S.Reals, S.Integers) == S.Reals
+
+
+def test_union_iter():
+    # Use Range because it is ordered
+    u = Union(Range(3), Range(5), Range(4), evaluate=False)
+
+    # Round robin
+    assert list(u) == [0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4]
+
+
+def test_union_is_empty():
+    assert (Interval(x, y) + FiniteSet(1)).is_empty == False
+    assert (Interval(x, y) + Interval(-x, y)).is_empty == None
+
+
+def test_difference():
+    assert Interval(1, 3) - Interval(1, 2) == Interval(2, 3, True)
+    assert Interval(1, 3) - Interval(2, 3) == Interval(1, 2, False, True)
+    assert Interval(1, 3, True) - Interval(2, 3) == Interval(1, 2, True, True)
+    assert Interval(1, 3, True) - Interval(2, 3, True) == \
+        Interval(1, 2, True, False)
+    assert Interval(0, 2) - FiniteSet(1) == \
+        Union(Interval(0, 1, False, True), Interval(1, 2, True, False))
+
+    # issue #18119
+    assert S.Reals - FiniteSet(I) == S.Reals
+    assert S.Reals - FiniteSet(-I, I) == S.Reals
+    assert Interval(0, 10) - FiniteSet(-I, I) == Interval(0, 10)
+    assert Interval(0, 10) - FiniteSet(1, I) == Union(
+        Interval.Ropen(0, 1), Interval.Lopen(1, 10))
+    assert S.Reals - FiniteSet(1, 2 + I, x, y**2) == Complement(
+        Union(Interval.open(-oo, 1), Interval.open(1, oo)), FiniteSet(x, y**2),
+        evaluate=False)
+
+    assert FiniteSet(1, 2, 3) - FiniteSet(2) == FiniteSet(1, 3)
+    assert FiniteSet('ham', 'eggs') - FiniteSet('eggs') == FiniteSet('ham')
+    assert FiniteSet(1, 2, 3, 4) - Interval(2, 10, True, False) == \
+        FiniteSet(1, 2)
+    assert FiniteSet(1, 2, 3, 4) - S.EmptySet == FiniteSet(1, 2, 3, 4)
+    assert Union(Interval(0, 2), FiniteSet(2, 3, 4)) - Interval(1, 3) == \
+        Union(Interval(0, 1, False, True), FiniteSet(4))
+
+    assert -1 in S.Reals - S.Naturals
+
+
+def test_Complement():
+    A = FiniteSet(1, 3, 4)
+    B = FiniteSet(3, 4)
+    C = Interval(1, 3)
+    D = Interval(1, 2)
+
+    assert Complement(A, B, evaluate=False).is_iterable is True
+    assert Complement(A, C, evaluate=False).is_iterable is True
+    assert Complement(C, D, evaluate=False).is_iterable is None
+
+    assert FiniteSet(*Complement(A, B, evaluate=False)) == FiniteSet(1)
+    assert FiniteSet(*Complement(A, C, evaluate=False)) == FiniteSet(4)
+    raises(TypeError, lambda: FiniteSet(*Complement(C, A, evaluate=False)))
+
+    assert Complement(Interval(1, 3), Interval(1, 2)) == Interval(2, 3, True)
+    assert Complement(FiniteSet(1, 3, 4), FiniteSet(3, 4)) == FiniteSet(1)
+    assert Complement(Union(Interval(0, 2), FiniteSet(2, 3, 4)),
+                      Interval(1, 3)) == \
+        Union(Interval(0, 1, False, True), FiniteSet(4))
+
+    assert 3 not in Complement(Interval(0, 5), Interval(1, 4), evaluate=False)
+    assert -1 in Complement(S.Reals, S.Naturals, evaluate=False)
+    assert 1 not in Complement(S.Reals, S.Naturals, evaluate=False)
+
+    assert Complement(S.Integers, S.UniversalSet) == EmptySet
+    assert S.UniversalSet.complement(S.Integers) == EmptySet
+
+    assert (0 not in S.Reals.intersect(S.Integers - FiniteSet(0)))
+
+    assert S.EmptySet - S.Integers == S.EmptySet
+
+    assert (S.Integers - FiniteSet(0)) - FiniteSet(1) == S.Integers - FiniteSet(0, 1)
+
+    assert S.Reals - Union(S.Naturals, FiniteSet(pi)) == \
+            Intersection(S.Reals - S.Naturals, S.Reals - FiniteSet(pi))
+    # issue 12712
+    assert Complement(FiniteSet(x, y, 2), Interval(-10, 10)) == \
+            Complement(FiniteSet(x, y), Interval(-10, 10))
+
+    A = FiniteSet(*symbols('a:c'))
+    B = FiniteSet(*symbols('d:f'))
+    assert unchanged(Complement, ProductSet(A, A), B)
+
+    A2 = ProductSet(A, A)
+    B3 = ProductSet(B, B, B)
+    assert A2 - B3 == A2
+    assert B3 - A2 == B3
+
+
+def test_set_operations_nonsets():
+    '''Tests that e.g. FiniteSet(1) * 2 raises TypeError'''
+    ops = [
+        lambda a, b: a + b,
+        lambda a, b: a - b,
+        lambda a, b: a * b,
+        lambda a, b: a / b,
+        lambda a, b: a // b,
+        lambda a, b: a | b,
+        lambda a, b: a & b,
+        lambda a, b: a ^ b,
+        # FiniteSet(1) ** 2 gives a ProductSet
+        #lambda a, b: a ** b,
+    ]
+    Sx = FiniteSet(x)
+    Sy = FiniteSet(y)
+    sets = [
+        {1},
+        FiniteSet(1),
+        Interval(1, 2),
+        Union(Sx, Interval(1, 2)),
+        Intersection(Sx, Sy),
+        Complement(Sx, Sy),
+        ProductSet(Sx, Sy),
+        S.EmptySet,
+    ]
+    nums = [0, 1, 2, S(0), S(1), S(2)]
+
+    for si in sets:
+        for ni in nums:
+            for op in ops:
+                raises(TypeError, lambda : op(si, ni))
+                raises(TypeError, lambda : op(ni, si))
+        raises(TypeError, lambda: si ** object())
+        raises(TypeError, lambda: si ** {1})
+
+
+def test_complement():
+    assert Complement({1, 2}, {1}) == {2}
+    assert Interval(0, 1).complement(S.Reals) == \
+        Union(Interval(-oo, 0, True, True), Interval(1, oo, True, True))
+    assert Interval(0, 1, True, False).complement(S.Reals) == \
+        Union(Interval(-oo, 0, True, False), Interval(1, oo, True, True))
+    assert Interval(0, 1, False, True).complement(S.Reals) == \
+        Union(Interval(-oo, 0, True, True), Interval(1, oo, False, True))
+    assert Interval(0, 1, True, True).complement(S.Reals) == \
+        Union(Interval(-oo, 0, True, False), Interval(1, oo, False, True))
+
+    assert S.UniversalSet.complement(S.EmptySet) == S.EmptySet
+    assert S.UniversalSet.complement(S.Reals) == S.EmptySet
+    assert S.UniversalSet.complement(S.UniversalSet) == S.EmptySet
+
+    assert S.EmptySet.complement(S.Reals) == S.Reals
+
+    assert Union(Interval(0, 1), Interval(2, 3)).complement(S.Reals) == \
+        Union(Interval(-oo, 0, True, True), Interval(1, 2, True, True),
+              Interval(3, oo, True, True))
+
+    assert FiniteSet(0).complement(S.Reals) ==  \
+        Union(Interval(-oo, 0, True, True), Interval(0, oo, True, True))
+
+    assert (FiniteSet(5) + Interval(S.NegativeInfinity,
+                                    0)).complement(S.Reals) == \
+        Interval(0, 5, True, True) + Interval(5, S.Infinity, True, True)
+
+    assert FiniteSet(1, 2, 3).complement(S.Reals) == \
+        Interval(S.NegativeInfinity, 1, True, True) + \
+        Interval(1, 2, True, True) + Interval(2, 3, True, True) +\
+        Interval(3, S.Infinity, True, True)
+
+    assert FiniteSet(x).complement(S.Reals) == Complement(S.Reals, FiniteSet(x))
+
+    assert FiniteSet(0, x).complement(S.Reals) == Complement(Interval(-oo, 0, True, True) +
+                                                             Interval(0, oo, True, True)
+                                                             , FiniteSet(x), evaluate=False)
+
+    square = Interval(0, 1) * Interval(0, 1)
+    notsquare = square.complement(S.Reals*S.Reals)
+
+    assert all(pt in square for pt in [(0, 0), (.5, .5), (1, 0), (1, 1)])
+    assert not any(
+        pt in notsquare for pt in [(0, 0), (.5, .5), (1, 0), (1, 1)])
+    assert not any(pt in square for pt in [(-1, 0), (1.5, .5), (10, 10)])
+    assert all(pt in notsquare for pt in [(-1, 0), (1.5, .5), (10, 10)])
+
+
+def test_intersect1():
+    assert all(S.Integers.intersection(i) is i for i in
+        (S.Naturals, S.Naturals0))
+    assert all(i.intersection(S.Integers) is i for i in
+        (S.Naturals, S.Naturals0))
+    s =  S.Naturals0
+    assert S.Naturals.intersection(s) is S.Naturals
+    assert s.intersection(S.Naturals) is S.Naturals
+    x = Symbol('x')
+    assert Interval(0, 2).intersect(Interval(1, 2)) == Interval(1, 2)
+    assert Interval(0, 2).intersect(Interval(1, 2, True)) == \
+        Interval(1, 2, True)
+    assert Interval(0, 2, True).intersect(Interval(1, 2)) == \
+        Interval(1, 2, False, False)
+    assert Interval(0, 2, True, True).intersect(Interval(1, 2)) == \
+        Interval(1, 2, False, True)
+    assert Interval(0, 2).intersect(Union(Interval(0, 1), Interval(2, 3))) == \
+        Union(Interval(0, 1), Interval(2, 2))
+
+    assert FiniteSet(1, 2).intersect(FiniteSet(1, 2, 3)) == FiniteSet(1, 2)
+    assert FiniteSet(1, 2, x).intersect(FiniteSet(x)) == FiniteSet(x)
+    assert FiniteSet('ham', 'eggs').intersect(FiniteSet('ham')) == \
+        FiniteSet('ham')
+    assert FiniteSet(1, 2, 3, 4, 5).intersect(S.EmptySet) == S.EmptySet
+
+    assert Interval(0, 5).intersect(FiniteSet(1, 3)) == FiniteSet(1, 3)
+    assert Interval(0, 1, True, True).intersect(FiniteSet(1)) == S.EmptySet
+
+    assert Union(Interval(0, 1), Interval(2, 3)).intersect(Interval(1, 2)) == \
+        Union(Interval(1, 1), Interval(2, 2))
+    assert Union(Interval(0, 1), Interval(2, 3)).intersect(Interval(0, 2)) == \
+        Union(Interval(0, 1), Interval(2, 2))
+    assert Union(Interval(0, 1), Interval(2, 3)).intersect(Interval(1, 2, True, True)) == \
+        S.EmptySet
+    assert Union(Interval(0, 1), Interval(2, 3)).intersect(S.EmptySet) == \
+        S.EmptySet
+    assert Union(Interval(0, 5), FiniteSet('ham')).intersect(FiniteSet(2, 3, 4, 5, 6)) == \
+        Intersection(FiniteSet(2, 3, 4, 5, 6), Union(FiniteSet('ham'), Interval(0, 5)))
+    assert Intersection(FiniteSet(1, 2, 3), Interval(2, x), Interval(3, y)) == \
+        Intersection(FiniteSet(3), Interval(2, x), Interval(3, y), evaluate=False)
+    assert Intersection(FiniteSet(1, 2), Interval(0, 3), Interval(x, y)) == \
+        Intersection({1, 2}, Interval(x, y), evaluate=False)
+    assert Intersection(FiniteSet(1, 2, 4), Interval(0, 3), Interval(x, y)) == \
+        Intersection({1, 2}, Interval(x, y), evaluate=False)
+    # XXX: Is the real=True necessary here?
+    # https://github.com/sympy/sympy/issues/17532
+    m, n = symbols('m, n', real=True)
+    assert Intersection(FiniteSet(m), FiniteSet(m, n), Interval(m, m+1)) == \
+        FiniteSet(m)
+
+    # issue 8217
+    assert Intersection(FiniteSet(x), FiniteSet(y)) == \
+        Intersection(FiniteSet(x), FiniteSet(y), evaluate=False)
+    assert FiniteSet(x).intersect(S.Reals) == \
+        Intersection(S.Reals, FiniteSet(x), evaluate=False)
+
+    # tests for the intersection alias
+    assert Interval(0, 5).intersection(FiniteSet(1, 3)) == FiniteSet(1, 3)
+    assert Interval(0, 1, True, True).intersection(FiniteSet(1)) == S.EmptySet
+
+    assert Union(Interval(0, 1), Interval(2, 3)).intersection(Interval(1, 2)) == \
+        Union(Interval(1, 1), Interval(2, 2))
+
+    # canonical boundary selected
+    a = sqrt(2*sqrt(6) + 5)
+    b = sqrt(2) + sqrt(3)
+    assert Interval(a, 4).intersection(Interval(b, 5)) == Interval(b, 4)
+    assert Interval(1, a).intersection(Interval(0, b)) == Interval(1, b)
+
+
+def test_intersection_interval_float():
+    # intersection of Intervals with mixed Rational/Float boundaries should
+    # lead to Float boundaries in all cases regardless of which Interval is
+    # open or closed.
+    typs = [
+        (Interval, Interval, Interval),
+        (Interval, Interval.open, Interval.open),
+        (Interval, Interval.Lopen, Interval.Lopen),
+        (Interval, Interval.Ropen, Interval.Ropen),
+        (Interval.open, Interval.open, Interval.open),
+        (Interval.open, Interval.Lopen, Interval.open),
+        (Interval.open, Interval.Ropen, Interval.open),
+        (Interval.Lopen, Interval.Lopen, Interval.Lopen),
+        (Interval.Lopen, Interval.Ropen, Interval.open),
+        (Interval.Ropen, Interval.Ropen, Interval.Ropen),
+    ]
+
+    as_float = lambda a1, a2: a2 if isinstance(a2, float) else a1
+
+    for t1, t2, t3 in typs:
+        for t1i, t2i in [(t1, t2), (t2, t1)]:
+            for a1, a2, b1, b2 in cartes([2, 2.0], [2, 2.0], [3, 3.0], [3, 3.0]):
+                I1 = t1(a1, b1)
+                I2 = t2(a2, b2)
+                I3 = t3(as_float(a1, a2), as_float(b1, b2))
+                assert I1.intersect(I2) == I3
+
+
+def test_intersection():
+    # iterable
+    i = Intersection(FiniteSet(1, 2, 3), Interval(2, 5), evaluate=False)
+    assert i.is_iterable
+    assert set(i) == {S(2), S(3)}
+
+    # challenging intervals
+    x = Symbol('x', real=True)
+    i = Intersection(Interval(0, 3), Interval(x, 6))
+    assert (5 in i) is False
+    raises(TypeError, lambda: 2 in i)
+
+    # Singleton special cases
+    assert Intersection(Interval(0, 1), S.EmptySet) == S.EmptySet
+    assert Intersection(Interval(-oo, oo), Interval(-oo, x)) == Interval(-oo, x)
+
+    # Products
+    line = Interval(0, 5)
+    i = Intersection(line**2, line**3, evaluate=False)
+    assert (2, 2) not in i
+    assert (2, 2, 2) not in i
+    raises(TypeError, lambda: list(i))
+
+    a = Intersection(Intersection(S.Integers, S.Naturals, evaluate=False), S.Reals, evaluate=False)
+    assert a._argset == frozenset([Intersection(S.Naturals, S.Integers, evaluate=False), S.Reals])
+
+    assert Intersection(S.Complexes, FiniteSet(S.ComplexInfinity)) == S.EmptySet
+
+    # issue 12178
+    assert Intersection() == S.UniversalSet
+
+    # issue 16987
+    assert Intersection({1}, {1}, {x}) == Intersection({1}, {x})
+
+
+def test_issue_9623():
+    n = Symbol('n')
+
+    a = S.Reals
+    b = Interval(0, oo)
+    c = FiniteSet(n)
+
+    assert Intersection(a, b, c) == Intersection(b, c)
+    assert Intersection(Interval(1, 2), Interval(3, 4), FiniteSet(n)) == EmptySet
+
+
+def test_is_disjoint():
+    assert Interval(0, 2).is_disjoint(Interval(1, 2)) == False
+    assert Interval(0, 2).is_disjoint(Interval(3, 4)) == True
+
+
+def test_ProductSet__len__():
+    A = FiniteSet(1, 2)
+    B = FiniteSet(1, 2, 3)
+    assert ProductSet(A).__len__() == 2
+    assert ProductSet(A).__len__() is not S(2)
+    assert ProductSet(A, B).__len__() == 6
+    assert ProductSet(A, B).__len__() is not S(6)
+
+
+def test_ProductSet():
+    # ProductSet is always a set of Tuples
+    assert ProductSet(S.Reals) == S.Reals ** 1
+    assert ProductSet(S.Reals, S.Reals) == S.Reals ** 2
+    assert ProductSet(S.Reals, S.Reals, S.Reals) == S.Reals ** 3
+
+    assert ProductSet(S.Reals) != S.Reals
+    assert ProductSet(S.Reals, S.Reals) == S.Reals * S.Reals
+    assert ProductSet(S.Reals, S.Reals, S.Reals) != S.Reals * S.Reals * S.Reals
+    assert ProductSet(S.Reals, S.Reals, S.Reals) == (S.Reals * S.Reals * S.Reals).flatten()
+
+    assert 1 not in ProductSet(S.Reals)
+    assert (1,) in ProductSet(S.Reals)
+
+    assert 1 not in ProductSet(S.Reals, S.Reals)
+    assert (1, 2) in ProductSet(S.Reals, S.Reals)
+    assert (1, I) not in ProductSet(S.Reals, S.Reals)
+
+    assert (1, 2, 3) in ProductSet(S.Reals, S.Reals, S.Reals)
+    assert (1, 2, 3) in S.Reals ** 3
+    assert (1, 2, 3) not in S.Reals * S.Reals * S.Reals
+    assert ((1, 2), 3) in S.Reals * S.Reals * S.Reals
+    assert (1, (2, 3)) not in S.Reals * S.Reals * S.Reals
+    assert (1, (2, 3)) in S.Reals * (S.Reals * S.Reals)
+
+    assert ProductSet() == FiniteSet(())
+    assert ProductSet(S.Reals, S.EmptySet) == S.EmptySet
+
+    # See GH-17458
+
+    for ni in range(5):
+        Rn = ProductSet(*(S.Reals,) * ni)
+        assert (1,) * ni in Rn
+        assert 1 not in Rn
+
+    assert (S.Reals * S.Reals) * S.Reals != S.Reals * (S.Reals * S.Reals)
+
+    S1 = S.Reals
+    S2 = S.Integers
+    x1 = pi
+    x2 = 3
+    assert x1 in S1
+    assert x2 in S2
+    assert (x1, x2) in S1 * S2
+    S3 = S1 * S2
+    x3 = (x1, x2)
+    assert x3 in S3
+    assert (x3, x3) in S3 * S3
+    assert x3 + x3 not in S3 * S3
+
+    raises(ValueError, lambda: S.Reals**-1)
+    with warns_deprecated_sympy():
+        ProductSet(FiniteSet(s) for s in range(2))
+    raises(TypeError, lambda: ProductSet(None))
+
+    S1 = FiniteSet(1, 2)
+    S2 = FiniteSet(3, 4)
+    S3 = ProductSet(S1, S2)
+    assert (S3.as_relational(x, y)
+            == And(S1.as_relational(x), S2.as_relational(y))
+            == And(Or(Eq(x, 1), Eq(x, 2)), Or(Eq(y, 3), Eq(y, 4))))
+    raises(ValueError, lambda: S3.as_relational(x))
+    raises(ValueError, lambda: S3.as_relational(x, 1))
+    raises(ValueError, lambda: ProductSet(Interval(0, 1)).as_relational(x, y))
+
+    Z2 = ProductSet(S.Integers, S.Integers)
+    assert Z2.contains((1, 2)) is S.true
+    assert Z2.contains((1,)) is S.false
+    assert Z2.contains(x) == Contains(x, Z2, evaluate=False)
+    assert Z2.contains(x).subs(x, 1) is S.false
+    assert Z2.contains((x, 1)).subs(x, 2) is S.true
+    assert Z2.contains((x, y)) == Contains(x, S.Integers) & Contains(y, S.Integers)
+    assert unchanged(Contains, (x, y), Z2)
+    assert Contains((1, 2), Z2) is S.true
+
+
+def test_ProductSet_of_single_arg_is_not_arg():
+    assert unchanged(ProductSet, Interval(0, 1))
+    assert unchanged(ProductSet, ProductSet(Interval(0, 1)))
+
+
+def test_ProductSet_is_empty():
+    assert ProductSet(S.Integers, S.Reals).is_empty == False
+    assert ProductSet(Interval(x, 1), S.Reals).is_empty == None
+
+
+def test_interval_subs():
+    a = Symbol('a', real=True)
+
+    assert Interval(0, a).subs(a, 2) == Interval(0, 2)
+    assert Interval(a, 0).subs(a, 2) == S.EmptySet
+
+
+def test_interval_to_mpi():
+    assert Interval(0, 1).to_mpi() == mpi(0, 1)
+    assert Interval(0, 1, True, False).to_mpi() == mpi(0, 1)
+    assert type(Interval(0, 1).to_mpi()) == type(mpi(0, 1))
+
+
+def test_set_evalf():
+    assert Interval(S(11)/64, S.Half).evalf() == Interval(
+        Float('0.171875'), Float('0.5'))
+    assert Interval(x, S.Half, right_open=True).evalf() == Interval(
+        x, Float('0.5'), right_open=True)
+    assert Interval(-oo, S.Half).evalf() == Interval(-oo, Float('0.5'))
+    assert FiniteSet(2, x).evalf() == FiniteSet(Float('2.0'), x)
+
+
+def test_measure():
+    a = Symbol('a', real=True)
+
+    assert Interval(1, 3).measure == 2
+    assert Interval(0, a).measure == a
+    assert Interval(1, a).measure == a - 1
+
+    assert Union(Interval(1, 2), Interval(3, 4)).measure == 2
+    assert Union(Interval(1, 2), Interval(3, 4), FiniteSet(5, 6, 7)).measure \
+        == 2
+
+    assert FiniteSet(1, 2, oo, a, -oo, -5).measure == 0
+
+    assert S.EmptySet.measure == 0
+
+    square = Interval(0, 10) * Interval(0, 10)
+    offsetsquare = Interval(5, 15) * Interval(5, 15)
+    band = Interval(-oo, oo) * Interval(2, 4)
+
+    assert square.measure == offsetsquare.measure == 100
+    assert (square + offsetsquare).measure == 175  # there is some overlap
+    assert (square - offsetsquare).measure == 75
+    assert (square * FiniteSet(1, 2, 3)).measure == 0
+    assert (square.intersect(band)).measure == 20
+    assert (square + band).measure is oo
+    assert (band * FiniteSet(1, 2, 3)).measure is nan
+
+
+def test_is_subset():
+    assert Interval(0, 1).is_subset(Interval(0, 2)) is True
+    assert Interval(0, 3).is_subset(Interval(0, 2)) is False
+    assert Interval(0, 1).is_subset(FiniteSet(0, 1)) is False
+
+    assert FiniteSet(1, 2).is_subset(FiniteSet(1, 2, 3, 4))
+    assert FiniteSet(4, 5).is_subset(FiniteSet(1, 2, 3, 4)) is False
+    assert FiniteSet(1).is_subset(Interval(0, 2))
+    assert FiniteSet(1, 2).is_subset(Interval(0, 2, True, True)) is False
+    assert (Interval(1, 2) + FiniteSet(3)).is_subset(
+        Interval(0, 2, False, True) + FiniteSet(2, 3))
+
+    assert Interval(3, 4).is_subset(Union(Interval(0, 1), Interval(2, 5))) is True
+    assert Interval(3, 6).is_subset(Union(Interval(0, 1), Interval(2, 5))) is False
+
+    assert FiniteSet(1, 2, 3, 4).is_subset(Interval(0, 5)) is True
+    assert S.EmptySet.is_subset(FiniteSet(1, 2, 3)) is True
+
+    assert Interval(0, 1).is_subset(S.EmptySet) is False
+    assert S.EmptySet.is_subset(S.EmptySet) is True
+
+    raises(ValueError, lambda: S.EmptySet.is_subset(1))
+
+    # tests for the issubset alias
+    assert FiniteSet(1, 2, 3, 4).issubset(Interval(0, 5)) is True
+    assert S.EmptySet.issubset(FiniteSet(1, 2, 3)) is True
+
+    assert S.Naturals.is_subset(S.Integers)
+    assert S.Naturals0.is_subset(S.Integers)
+
+    assert FiniteSet(x).is_subset(FiniteSet(y)) is None
+    assert FiniteSet(x).is_subset(FiniteSet(y).subs(y, x)) is True
+    assert FiniteSet(x).is_subset(FiniteSet(y).subs(y, x+1)) is False
+
+    assert Interval(0, 1).is_subset(Interval(0, 1, left_open=True)) is False
+    assert Interval(-2, 3).is_subset(Union(Interval(-oo, -2), Interval(3, oo))) is False
+
+    n = Symbol('n', integer=True)
+    assert Range(-3, 4, 1).is_subset(FiniteSet(-10, 10)) is False
+    assert Range(S(10)**100).is_subset(FiniteSet(0, 1, 2)) is False
+    assert Range(6, 0, -2).is_subset(FiniteSet(2, 4, 6)) is True
+    assert Range(1, oo).is_subset(FiniteSet(1, 2)) is False
+    assert Range(-oo, 1).is_subset(FiniteSet(1)) is False
+    assert Range(3).is_subset(FiniteSet(0, 1, n)) is None
+    assert Range(n, n + 2).is_subset(FiniteSet(n, n + 1)) is True
+    assert Range(5).is_subset(Interval(0, 4, right_open=True)) is False
+    #issue 19513
+    assert imageset(Lambda(n, 1/n), S.Integers).is_subset(S.Reals) is None
+
+def test_is_proper_subset():
+    assert Interval(0, 1).is_proper_subset(Interval(0, 2)) is True
+    assert Interval(0, 3).is_proper_subset(Interval(0, 2)) is False
+    assert S.EmptySet.is_proper_subset(FiniteSet(1, 2, 3)) is True
+
+    raises(ValueError, lambda: Interval(0, 1).is_proper_subset(0))
+
+
+def test_is_superset():
+    assert Interval(0, 1).is_superset(Interval(0, 2)) == False
+    assert Interval(0, 3).is_superset(Interval(0, 2))
+
+    assert FiniteSet(1, 2).is_superset(FiniteSet(1, 2, 3, 4)) == False
+    assert FiniteSet(4, 5).is_superset(FiniteSet(1, 2, 3, 4)) == False
+    assert FiniteSet(1).is_superset(Interval(0, 2)) == False
+    assert FiniteSet(1, 2).is_superset(Interval(0, 2, True, True)) == False
+    assert (Interval(1, 2) + FiniteSet(3)).is_superset(
+        Interval(0, 2, False, True) + FiniteSet(2, 3)) == False
+
+    assert Interval(3, 4).is_superset(Union(Interval(0, 1), Interval(2, 5))) == False
+
+    assert FiniteSet(1, 2, 3, 4).is_superset(Interval(0, 5)) == False
+    assert S.EmptySet.is_superset(FiniteSet(1, 2, 3)) == False
+
+    assert Interval(0, 1).is_superset(S.EmptySet) == True
+    assert S.EmptySet.is_superset(S.EmptySet) == True
+
+    raises(ValueError, lambda: S.EmptySet.is_superset(1))
+
+    # tests for the issuperset alias
+    assert Interval(0, 1).issuperset(S.EmptySet) == True
+    assert S.EmptySet.issuperset(S.EmptySet) == True
+
+
+def test_is_proper_superset():
+    assert Interval(0, 1).is_proper_superset(Interval(0, 2)) is False
+    assert Interval(0, 3).is_proper_superset(Interval(0, 2)) is True
+    assert FiniteSet(1, 2, 3).is_proper_superset(S.EmptySet) is True
+
+    raises(ValueError, lambda: Interval(0, 1).is_proper_superset(0))
+
+
+def test_contains():
+    assert Interval(0, 2).contains(1) is S.true
+    assert Interval(0, 2).contains(3) is S.false
+    assert Interval(0, 2, True, False).contains(0) is S.false
+    assert Interval(0, 2, True, False).contains(2) is S.true
+    assert Interval(0, 2, False, True).contains(0) is S.true
+    assert Interval(0, 2, False, True).contains(2) is S.false
+    assert Interval(0, 2, True, True).contains(0) is S.false
+    assert Interval(0, 2, True, True).contains(2) is S.false
+
+    assert (Interval(0, 2) in Interval(0, 2)) is False
+
+    assert FiniteSet(1, 2, 3).contains(2) is S.true
+    assert FiniteSet(1, 2, Symbol('x')).contains(Symbol('x')) is S.true
+
+    assert FiniteSet(y)._contains(x) == Eq(y, x, evaluate=False)
+    raises(TypeError, lambda: x in FiniteSet(y))
+    assert FiniteSet({x, y})._contains({x}) == Eq({x, y}, {x}, evaluate=False)
+    assert FiniteSet({x, y}).subs(y, x)._contains({x}) is S.true
+    assert FiniteSet({x, y}).subs(y, x+1)._contains({x}) is S.false
+
+    # issue 8197
+    from sympy.abc import a, b
+    assert FiniteSet(b).contains(-a) == Eq(b, -a)
+    assert FiniteSet(b).contains(a) == Eq(b, a)
+    assert FiniteSet(a).contains(1) == Eq(a, 1)
+    raises(TypeError, lambda: 1 in FiniteSet(a))
+
+    # issue 8209
+    rad1 = Pow(Pow(2, Rational(1, 3)) - 1, Rational(1, 3))
+    rad2 = Pow(Rational(1, 9), Rational(1, 3)) - Pow(Rational(2, 9), Rational(1, 3)) + Pow(Rational(4, 9), Rational(1, 3))
+    s1 = FiniteSet(rad1)
+    s2 = FiniteSet(rad2)
+    assert s1 - s2 == S.EmptySet
+
+    items = [1, 2, S.Infinity, S('ham'), -1.1]
+    fset = FiniteSet(*items)
+    assert all(item in fset for item in items)
+    assert all(fset.contains(item) is S.true for item in items)
+
+    assert Union(Interval(0, 1), Interval(2, 5)).contains(3) is S.true
+    assert Union(Interval(0, 1), Interval(2, 5)).contains(6) is S.false
+    assert Union(Interval(0, 1), FiniteSet(2, 5)).contains(3) is S.false
+
+    assert S.EmptySet.contains(1) is S.false
+    assert FiniteSet(rootof(x**3 + x - 1, 0)).contains(S.Infinity) is S.false
+
+    assert rootof(x**5 + x**3 + 1, 0) in S.Reals
+    assert not rootof(x**5 + x**3 + 1, 1) in S.Reals
+
+    # non-bool results
+    assert Union(Interval(1, 2), Interval(3, 4)).contains(x) == \
+        Or(And(S.One <= x, x <= 2), And(S(3) <= x, x <= 4))
+    assert Intersection(Interval(1, x), Interval(2, 3)).contains(y) == \
+        And(y <= 3, y <= x, S.One <= y, S(2) <= y)
+
+    assert (S.Complexes).contains(S.ComplexInfinity) == S.false
+
+
+def test_interval_symbolic():
+    x = Symbol('x')
+    e = Interval(0, 1)
+    assert e.contains(x) == And(S.Zero <= x, x <= 1)
+    raises(TypeError, lambda: x in e)
+    e = Interval(0, 1, True, True)
+    assert e.contains(x) == And(S.Zero < x, x < 1)
+    c = Symbol('c', real=False)
+    assert Interval(x, x + 1).contains(c) == False
+    e = Symbol('e', extended_real=True)
+    assert Interval(-oo, oo).contains(e) == And(
+        S.NegativeInfinity < e, e < S.Infinity)
+
+
+def test_union_contains():
+    x = Symbol('x')
+    i1 = Interval(0, 1)
+    i2 = Interval(2, 3)
+    i3 = Union(i1, i2)
+    assert i3.as_relational(x) == Or(And(S.Zero <= x, x <= 1), And(S(2) <= x, x <= 3))
+    raises(TypeError, lambda: x in i3)
+    e = i3.contains(x)
+    assert e == i3.as_relational(x)
+    assert e.subs(x, -0.5) is false
+    assert e.subs(x, 0.5) is true
+    assert e.subs(x, 1.5) is false
+    assert e.subs(x, 2.5) is true
+    assert e.subs(x, 3.5) is false
+
+    U = Interval(0, 2, True, True) + Interval(10, oo) + FiniteSet(-1, 2, 5, 6)
+    assert all(el not in U for el in [0, 4, -oo])
+    assert all(el in U for el in [2, 5, 10])
+
+
+def test_is_number():
+    assert Interval(0, 1).is_number is False
+    assert Set().is_number is False
+
+
+def test_Interval_is_left_unbounded():
+    assert Interval(3, 4).is_left_unbounded is False
+    assert Interval(-oo, 3).is_left_unbounded is True
+    assert Interval(Float("-inf"), 3).is_left_unbounded is True
+
+
+def test_Interval_is_right_unbounded():
+    assert Interval(3, 4).is_right_unbounded is False
+    assert Interval(3, oo).is_right_unbounded is True
+    assert Interval(3, Float("+inf")).is_right_unbounded is True
+
+
+def test_Interval_as_relational():
+    x = Symbol('x')
+
+    assert Interval(-1, 2, False, False).as_relational(x) == \
+        And(Le(-1, x), Le(x, 2))
+    assert Interval(-1, 2, True, False).as_relational(x) == \
+        And(Lt(-1, x), Le(x, 2))
+    assert Interval(-1, 2, False, True).as_relational(x) == \
+        And(Le(-1, x), Lt(x, 2))
+    assert Interval(-1, 2, True, True).as_relational(x) == \
+        And(Lt(-1, x), Lt(x, 2))
+
+    assert Interval(-oo, 2, right_open=False).as_relational(x) == And(Lt(-oo, x), Le(x, 2))
+    assert Interval(-oo, 2, right_open=True).as_relational(x) == And(Lt(-oo, x), Lt(x, 2))
+
+    assert Interval(-2, oo, left_open=False).as_relational(x) == And(Le(-2, x), Lt(x, oo))
+    assert Interval(-2, oo, left_open=True).as_relational(x) == And(Lt(-2, x), Lt(x, oo))
+
+    assert Interval(-oo, oo).as_relational(x) == And(Lt(-oo, x), Lt(x, oo))
+    x = Symbol('x', real=True)
+    y = Symbol('y', real=True)
+    assert Interval(x, y).as_relational(x) == (x <= y)
+    assert Interval(y, x).as_relational(x) == (y <= x)
+
+
+def test_Finite_as_relational():
+    x = Symbol('x')
+    y = Symbol('y')
+
+    assert FiniteSet(1, 2).as_relational(x) == Or(Eq(x, 1), Eq(x, 2))
+    assert FiniteSet(y, -5).as_relational(x) == Or(Eq(x, y), Eq(x, -5))
+
+
+def test_Union_as_relational():
+    x = Symbol('x')
+    assert (Interval(0, 1) + FiniteSet(2)).as_relational(x) == \
+        Or(And(Le(0, x), Le(x, 1)), Eq(x, 2))
+    assert (Interval(0, 1, True, True) + FiniteSet(1)).as_relational(x) == \
+        And(Lt(0, x), Le(x, 1))
+    assert Or(x < 0, x > 0).as_set().as_relational(x) == \
+        And((x > -oo), (x < oo), Ne(x, 0))
+    assert (Interval.Ropen(1, 3) + Interval.Lopen(3, 5)
+        ).as_relational(x) == And(Ne(x,3),(x>=1),(x<=5))
+
+
+def test_Intersection_as_relational():
+    x = Symbol('x')
+    assert (Intersection(Interval(0, 1), FiniteSet(2),
+            evaluate=False).as_relational(x)
+            == And(And(Le(0, x), Le(x, 1)), Eq(x, 2)))
+
+
+def test_Complement_as_relational():
+    x = Symbol('x')
+    expr = Complement(Interval(0, 1), FiniteSet(2), evaluate=False)
+    assert expr.as_relational(x) == \
+        And(Le(0, x), Le(x, 1), Ne(x, 2))
+
+
+@XFAIL
+def test_Complement_as_relational_fail():
+    x = Symbol('x')
+    expr = Complement(Interval(0, 1), FiniteSet(2), evaluate=False)
+    # XXX This example fails because 0 <= x changes to x >= 0
+    # during the evaluation.
+    assert expr.as_relational(x) == \
+            (0 <= x) & (x <= 1) & Ne(x, 2)
+
+
+def test_SymmetricDifference_as_relational():
+    x = Symbol('x')
+    expr = SymmetricDifference(Interval(0, 1), FiniteSet(2), evaluate=False)
+    assert expr.as_relational(x) == Xor(Eq(x, 2), Le(0, x) & Le(x, 1))
+
+
+def test_EmptySet():
+    assert S.EmptySet.as_relational(Symbol('x')) is S.false
+    assert S.EmptySet.intersect(S.UniversalSet) == S.EmptySet
+    assert S.EmptySet.boundary == S.EmptySet
+
+
+def test_finite_basic():
+    x = Symbol('x')
+    A = FiniteSet(1, 2, 3)
+    B = FiniteSet(3, 4, 5)
+    AorB = Union(A, B)
+    AandB = A.intersect(B)
+    assert A.is_subset(AorB) and B.is_subset(AorB)
+    assert AandB.is_subset(A)
+    assert AandB == FiniteSet(3)
+
+    assert A.inf == 1 and A.sup == 3
+    assert AorB.inf == 1 and AorB.sup == 5
+    assert FiniteSet(x, 1, 5).sup == Max(x, 5)
+    assert FiniteSet(x, 1, 5).inf == Min(x, 1)
+
+    # issue 7335
+    assert FiniteSet(S.EmptySet) != S.EmptySet
+    assert FiniteSet(FiniteSet(1, 2, 3)) != FiniteSet(1, 2, 3)
+    assert FiniteSet((1, 2, 3)) != FiniteSet(1, 2, 3)
+
+    # Ensure a variety of types can exist in a FiniteSet
+    assert FiniteSet((1, 2), A, -5, x, 'eggs', x**2)
+
+    assert (A > B) is False
+    assert (A >= B) is False
+    assert (A < B) is False
+    assert (A <= B) is False
+    assert AorB > A and AorB > B
+    assert AorB >= A and AorB >= B
+    assert A >= A and A <= A
+    assert A >= AandB and B >= AandB
+    assert A > AandB and B > AandB
+
+
+def test_product_basic():
+    H, T = 'H', 'T'
+    unit_line = Interval(0, 1)
+    d6 = FiniteSet(1, 2, 3, 4, 5, 6)
+    d4 = FiniteSet(1, 2, 3, 4)
+    coin = FiniteSet(H, T)
+
+    square = unit_line * unit_line
+
+    assert (0, 0) in square
+    assert 0 not in square
+    assert (H, T) in coin ** 2
+    assert (.5, .5, .5) in (square * unit_line).flatten()
+    assert ((.5, .5), .5) in square * unit_line
+    assert (H, 3, 3) in (coin * d6 * d6).flatten()
+    assert ((H, 3), 3) in coin * d6 * d6
+    HH, TT = sympify(H), sympify(T)
+    assert set(coin**2) == {(HH, HH), (HH, TT), (TT, HH), (TT, TT)}
+
+    assert (d4*d4).is_subset(d6*d6)
+
+    assert square.complement(Interval(-oo, oo)*Interval(-oo, oo)) == Union(
+        (Interval(-oo, 0, True, True) +
+         Interval(1, oo, True, True))*Interval(-oo, oo),
+         Interval(-oo, oo)*(Interval(-oo, 0, True, True) +
+                  Interval(1, oo, True, True)))
+
+    assert (Interval(-5, 5)**3).is_subset(Interval(-10, 10)**3)
+    assert not (Interval(-10, 10)**3).is_subset(Interval(-5, 5)**3)
+    assert not (Interval(-5, 5)**2).is_subset(Interval(-10, 10)**3)
+
+    assert (Interval(.2, .5)*FiniteSet(.5)).is_subset(square)  # segment in square
+
+    assert len(coin*coin*coin) == 8
+    assert len(S.EmptySet*S.EmptySet) == 0
+    assert len(S.EmptySet*coin) == 0
+    raises(TypeError, lambda: len(coin*Interval(0, 2)))
+
+
+def test_real():
+    x = Symbol('x', real=True)
+
+    I = Interval(0, 5)
+    J = Interval(10, 20)
+    A = FiniteSet(1, 2, 30, x, S.Pi)
+    B = FiniteSet(-4, 0)
+    C = FiniteSet(100)
+    D = FiniteSet('Ham', 'Eggs')
+
+    assert all(s.is_subset(S.Reals) for s in [I, J, A, B, C])
+    assert not D.is_subset(S.Reals)
+    assert all((a + b).is_subset(S.Reals) for a in [I, J, A, B, C] for b in [I, J, A, B, C])
+    assert not any((a + D).is_subset(S.Reals) for a in [I, J, A, B, C, D])
+
+    assert not (I + A + D).is_subset(S.Reals)
+
+
+def test_supinf():
+    x = Symbol('x', real=True)
+    y = Symbol('y', real=True)
+
+    assert (Interval(0, 1) + FiniteSet(2)).sup == 2
+    assert (Interval(0, 1) + FiniteSet(2)).inf == 0
+    assert (Interval(0, 1) + FiniteSet(x)).sup == Max(1, x)
+    assert (Interval(0, 1) + FiniteSet(x)).inf == Min(0, x)
+    assert FiniteSet(5, 1, x).sup == Max(5, x)
+    assert FiniteSet(5, 1, x).inf == Min(1, x)
+    assert FiniteSet(5, 1, x, y).sup == Max(5, x, y)
+    assert FiniteSet(5, 1, x, y).inf == Min(1, x, y)
+    assert FiniteSet(5, 1, x, y, S.Infinity, S.NegativeInfinity).sup == \
+        S.Infinity
+    assert FiniteSet(5, 1, x, y, S.Infinity, S.NegativeInfinity).inf == \
+        S.NegativeInfinity
+    assert FiniteSet('Ham', 'Eggs').sup == Max('Ham', 'Eggs')
+
+
+def test_universalset():
+    U = S.UniversalSet
+    x = Symbol('x')
+    assert U.as_relational(x) is S.true
+    assert U.union(Interval(2, 4)) == U
+
+    assert U.intersect(Interval(2, 4)) == Interval(2, 4)
+    assert U.measure is S.Infinity
+    assert U.boundary == S.EmptySet
+    assert U.contains(0) is S.true
+
+
+def test_Union_of_ProductSets_shares():
+    line = Interval(0, 2)
+    points = FiniteSet(0, 1, 2)
+    assert Union(line * line, line * points) == line * line
+
+
+def test_Interval_free_symbols():
+    # issue 6211
+    assert Interval(0, 1).free_symbols == set()
+    x = Symbol('x', real=True)
+    assert Interval(0, x).free_symbols == {x}
+
+
+def test_image_interval():
+    x = Symbol('x', real=True)
+    a = Symbol('a', real=True)
+    assert imageset(x, 2*x, Interval(-2, 1)) == Interval(-4, 2)
+    assert imageset(x, 2*x, Interval(-2, 1, True, False)) == \
+        Interval(-4, 2, True, False)
+    assert imageset(x, x**2, Interval(-2, 1, True, False)) == \
+        Interval(0, 4, False, True)
+    assert imageset(x, x**2, Interval(-2, 1)) == Interval(0, 4)
+    assert imageset(x, x**2, Interval(-2, 1, True, False)) == \
+        Interval(0, 4, False, True)
+    assert imageset(x, x**2, Interval(-2, 1, True, True)) == \
+        Interval(0, 4, False, True)
+    assert imageset(x, (x - 2)**2, Interval(1, 3)) == Interval(0, 1)
+    assert imageset(x, 3*x**4 - 26*x**3 + 78*x**2 - 90*x, Interval(0, 4)) == \
+        Interval(-35, 0)  # Multiple Maxima
+    assert imageset(x, x + 1/x, Interval(-oo, oo)) == Interval(-oo, -2) \
+        + Interval(2, oo)  # Single Infinite discontinuity
+    assert imageset(x, 1/x + 1/(x-1)**2, Interval(0, 2, True, False)) == \
+        Interval(Rational(3, 2), oo, False)  # Multiple Infinite discontinuities
+
+    # Test for Python lambda
+    assert imageset(lambda x: 2*x, Interval(-2, 1)) == Interval(-4, 2)
+
+    assert imageset(Lambda(x, a*x), Interval(0, 1)) == \
+            ImageSet(Lambda(x, a*x), Interval(0, 1))
+
+    assert imageset(Lambda(x, sin(cos(x))), Interval(0, 1)) == \
+            ImageSet(Lambda(x, sin(cos(x))), Interval(0, 1))
+
+
+def test_image_piecewise():
+    f = Piecewise((x, x <= -1), (1/x**2, x <= 5), (x**3, True))
+    f1 = Piecewise((0, x <= 1), (1, x <= 2), (2, True))
+    assert imageset(x, f, Interval(-5, 5)) == Union(Interval(-5, -1), Interval(Rational(1, 25), oo))
+    assert imageset(x, f1, Interval(1, 2)) == FiniteSet(0, 1)
+
+
+@XFAIL  # See: https://github.com/sympy/sympy/pull/2723#discussion_r8659826
+def test_image_Intersection():
+    x = Symbol('x', real=True)
+    y = Symbol('y', real=True)
+    assert imageset(x, x**2, Interval(-2, 0).intersect(Interval(x, y))) == \
+           Interval(0, 4).intersect(Interval(Min(x**2, y**2), Max(x**2, y**2)))
+
+
+def test_image_FiniteSet():
+    x = Symbol('x', real=True)
+    assert imageset(x, 2*x, FiniteSet(1, 2, 3)) == FiniteSet(2, 4, 6)
+
+
+def test_image_Union():
+    x = Symbol('x', real=True)
+    assert imageset(x, x**2, Interval(-2, 0) + FiniteSet(1, 2, 3)) == \
+            (Interval(0, 4) + FiniteSet(9))
+
+
+def test_image_EmptySet():
+    x = Symbol('x', real=True)
+    assert imageset(x, 2*x, S.EmptySet) == S.EmptySet
+
+
+def test_issue_5724_7680():
+    assert I not in S.Reals  # issue 7680
+    assert Interval(-oo, oo).contains(I) is S.false
+
+
+def test_boundary():
+    assert FiniteSet(1).boundary == FiniteSet(1)
+    assert all(Interval(0, 1, left_open, right_open).boundary == FiniteSet(0, 1)
+            for left_open in (true, false) for right_open in (true, false))
+
+
+def test_boundary_Union():
+    assert (Interval(0, 1) + Interval(2, 3)).boundary == FiniteSet(0, 1, 2, 3)
+    assert ((Interval(0, 1, False, True)
+           + Interval(1, 2, True, False)).boundary == FiniteSet(0, 1, 2))
+
+    assert (Interval(0, 1) + FiniteSet(2)).boundary == FiniteSet(0, 1, 2)
+    assert Union(Interval(0, 10), Interval(5, 15), evaluate=False).boundary \
+            == FiniteSet(0, 15)
+
+    assert Union(Interval(0, 10), Interval(0, 1), evaluate=False).boundary \
+            == FiniteSet(0, 10)
+    assert Union(Interval(0, 10, True, True),
+                 Interval(10, 15, True, True), evaluate=False).boundary \
+            == FiniteSet(0, 10, 15)
+
+
+@XFAIL
+def test_union_boundary_of_joining_sets():
+    """ Testing the boundary of unions is a hard problem """
+    assert Union(Interval(0, 10), Interval(10, 15), evaluate=False).boundary \
+            == FiniteSet(0, 15)
+
+
+def test_boundary_ProductSet():
+    open_square = Interval(0, 1, True, True) ** 2
+    assert open_square.boundary == (FiniteSet(0, 1) * Interval(0, 1)
+                                  + Interval(0, 1) * FiniteSet(0, 1))
+
+    second_square = Interval(1, 2, True, True) * Interval(0, 1, True, True)
+    assert (open_square + second_square).boundary == (
+                FiniteSet(0, 1) * Interval(0, 1)
+              + FiniteSet(1, 2) * Interval(0, 1)
+              + Interval(0, 1) * FiniteSet(0, 1)
+              + Interval(1, 2) * FiniteSet(0, 1))
+
+
+def test_boundary_ProductSet_line():
+    line_in_r2 = Interval(0, 1) * FiniteSet(0)
+    assert line_in_r2.boundary == line_in_r2
+
+
+def test_is_open():
+    assert Interval(0, 1, False, False).is_open is False
+    assert Interval(0, 1, True, False).is_open is False
+    assert Interval(0, 1, True, True).is_open is True
+    assert FiniteSet(1, 2, 3).is_open is False
+
+
+def test_is_closed():
+    assert Interval(0, 1, False, False).is_closed is True
+    assert Interval(0, 1, True, False).is_closed is False
+    assert FiniteSet(1, 2, 3).is_closed is True
+
+
+def test_closure():
+    assert Interval(0, 1, False, True).closure == Interval(0, 1, False, False)
+
+
+def test_interior():
+    assert Interval(0, 1, False, True).interior == Interval(0, 1, True, True)
+
+
+def test_issue_7841():
+    raises(TypeError, lambda: x in S.Reals)
+
+
+def test_Eq():
+    assert Eq(Interval(0, 1), Interval(0, 1))
+    assert Eq(Interval(0, 1), Interval(0, 2)) == False
+
+    s1 = FiniteSet(0, 1)
+    s2 = FiniteSet(1, 2)
+
+    assert Eq(s1, s1)
+    assert Eq(s1, s2) == False
+
+    assert Eq(s1*s2, s1*s2)
+    assert Eq(s1*s2, s2*s1) == False
+
+    assert unchanged(Eq, FiniteSet({x, y}), FiniteSet({x}))
+    assert Eq(FiniteSet({x, y}).subs(y, x), FiniteSet({x})) is S.true
+    assert Eq(FiniteSet({x, y}), FiniteSet({x})).subs(y, x) is S.true
+    assert Eq(FiniteSet({x, y}).subs(y, x+1), FiniteSet({x})) is S.false
+    assert Eq(FiniteSet({x, y}), FiniteSet({x})).subs(y, x+1) is S.false
+
+    assert Eq(ProductSet({1}, {2}), Interval(1, 2)) is S.false
+    assert Eq(ProductSet({1}), ProductSet({1}, {2})) is S.false
+
+    assert Eq(FiniteSet(()), FiniteSet(1)) is S.false
+    assert Eq(ProductSet(), FiniteSet(1)) is S.false
+
+    i1 = Interval(0, 1)
+    i2 = Interval(x, y)
+    assert unchanged(Eq, ProductSet(i1, i1), ProductSet(i2, i2))
+
+
+def test_SymmetricDifference():
+    A = FiniteSet(0, 1, 2, 3, 4, 5)
+    B = FiniteSet(2, 4, 6, 8, 10)
+    C = Interval(8, 10)
+
+    assert SymmetricDifference(A, B, evaluate=False).is_iterable is True
+    assert SymmetricDifference(A, C, evaluate=False).is_iterable is None
+    assert FiniteSet(*SymmetricDifference(A, B, evaluate=False)) == \
+        FiniteSet(0, 1, 3, 5, 6, 8, 10)
+    raises(TypeError,
+        lambda: FiniteSet(*SymmetricDifference(A, C, evaluate=False)))
+
+    assert SymmetricDifference(FiniteSet(0, 1, 2, 3, 4, 5), \
+            FiniteSet(2, 4, 6, 8, 10)) == FiniteSet(0, 1, 3, 5, 6, 8, 10)
+    assert SymmetricDifference(FiniteSet(2, 3, 4), FiniteSet(2, 3, 4 ,5)) \
+            == FiniteSet(5)
+    assert FiniteSet(1, 2, 3, 4, 5) ^ FiniteSet(1, 2, 5, 6) == \
+            FiniteSet(3, 4, 6)
+    assert Set(S(1), S(2), S(3)) ^ Set(S(2), S(3), S(4)) == Union(Set(S(1), S(2), S(3)) - Set(S(2), S(3), S(4)), \
+            Set(S(2), S(3), S(4)) - Set(S(1), S(2), S(3)))
+    assert Interval(0, 4) ^ Interval(2, 5) == Union(Interval(0, 4) - \
+            Interval(2, 5), Interval(2, 5) - Interval(0, 4))
+
+
+def test_issue_9536():
+    from sympy.functions.elementary.exponential import log
+    a = Symbol('a', real=True)
+    assert FiniteSet(log(a)).intersect(S.Reals) == Intersection(S.Reals, FiniteSet(log(a)))
+
+
+def test_issue_9637():
+    n = Symbol('n')
+    a = FiniteSet(n)
+    b = FiniteSet(2, n)
+    assert Complement(S.Reals, a) == Complement(S.Reals, a, evaluate=False)
+    assert Complement(Interval(1, 3), a) == Complement(Interval(1, 3), a, evaluate=False)
+    assert Complement(Interval(1, 3), b) == \
+        Complement(Union(Interval(1, 2, False, True), Interval(2, 3, True, False)), a)
+    assert Complement(a, S.Reals) == Complement(a, S.Reals, evaluate=False)
+    assert Complement(a, Interval(1, 3)) == Complement(a, Interval(1, 3), evaluate=False)
+
+
+def test_issue_9808():
+    # See https://github.com/sympy/sympy/issues/16342
+    assert Complement(FiniteSet(y), FiniteSet(1)) == Complement(FiniteSet(y), FiniteSet(1), evaluate=False)
+    assert Complement(FiniteSet(1, 2, x), FiniteSet(x, y, 2, 3)) == \
+        Complement(FiniteSet(1), FiniteSet(y), evaluate=False)
+
+
+def test_issue_9956():
+    assert Union(Interval(-oo, oo), FiniteSet(1)) == Interval(-oo, oo)
+    assert Interval(-oo, oo).contains(1) is S.true
+
+
+def test_issue_Symbol_inter():
+    i = Interval(0, oo)
+    r = S.Reals
+    mat = Matrix([0, 0, 0])
+    assert Intersection(r, i, FiniteSet(m), FiniteSet(m, n)) == \
+        Intersection(i, FiniteSet(m))
+    assert Intersection(FiniteSet(1, m, n), FiniteSet(m, n, 2), i) == \
+        Intersection(i, FiniteSet(m, n))
+    assert Intersection(FiniteSet(m, n, x), FiniteSet(m, z), r) == \
+        Intersection(Intersection({m, z}, {m, n, x}), r)
+    assert Intersection(FiniteSet(m, n, 3), FiniteSet(m, n, x), r) == \
+        Intersection(FiniteSet(3, m, n), FiniteSet(m, n, x), r, evaluate=False)
+    assert Intersection(FiniteSet(m, n, 3), FiniteSet(m, n, 2, 3), r) == \
+        Intersection(FiniteSet(3, m, n), r)
+    assert Intersection(r, FiniteSet(mat, 2, n), FiniteSet(0, mat, n)) == \
+        Intersection(r, FiniteSet(n))
+    assert Intersection(FiniteSet(sin(x), cos(x)), FiniteSet(sin(x), cos(x), 1), r) == \
+        Intersection(r, FiniteSet(sin(x), cos(x)))
+    assert Intersection(FiniteSet(x**2, 1, sin(x)), FiniteSet(x**2, 2, sin(x)), r) == \
+        Intersection(r, FiniteSet(x**2, sin(x)))
+
+
+def test_issue_11827():
+    assert S.Naturals0**4
+
+
+def test_issue_10113():
+    f = x**2/(x**2 - 4)
+    assert imageset(x, f, S.Reals) == Union(Interval(-oo, 0), Interval(1, oo, True, True))
+    assert imageset(x, f, Interval(-2, 2)) == Interval(-oo, 0)
+    assert imageset(x, f, Interval(-2, 3)) == Union(Interval(-oo, 0), Interval(Rational(9, 5), oo))
+
+
+def test_issue_10248():
+    raises(
+        TypeError, lambda: list(Intersection(S.Reals, FiniteSet(x)))
+    )
+    A = Symbol('A', real=True)
+    assert list(Intersection(S.Reals, FiniteSet(A))) == [A]
+
+
+def test_issue_9447():
+    a = Interval(0, 1) + Interval(2, 3)
+    assert Complement(S.UniversalSet, a) == Complement(
+            S.UniversalSet, Union(Interval(0, 1), Interval(2, 3)), evaluate=False)
+    assert Complement(S.Naturals, a) == Complement(
+            S.Naturals, Union(Interval(0, 1), Interval(2, 3)), evaluate=False)
+
+
+def test_issue_10337():
+    assert (FiniteSet(2) == 3) is False
+    assert (FiniteSet(2) != 3) is True
+    raises(TypeError, lambda: FiniteSet(2) < 3)
+    raises(TypeError, lambda: FiniteSet(2) <= 3)
+    raises(TypeError, lambda: FiniteSet(2) > 3)
+    raises(TypeError, lambda: FiniteSet(2) >= 3)
+
+
+def test_issue_10326():
+    bad = [
+        EmptySet,
+        FiniteSet(1),
+        Interval(1, 2),
+        S.ComplexInfinity,
+        S.ImaginaryUnit,
+        S.Infinity,
+        S.NaN,
+        S.NegativeInfinity,
+        ]
+    interval = Interval(0, 5)
+    for i in bad:
+        assert i not in interval
+
+    x = Symbol('x', real=True)
+    nr = Symbol('nr', extended_real=False)
+    assert x + 1 in Interval(x, x + 4)
+    assert nr not in Interval(x, x + 4)
+    assert Interval(1, 2) in FiniteSet(Interval(0, 5), Interval(1, 2))
+    assert Interval(-oo, oo).contains(oo) is S.false
+    assert Interval(-oo, oo).contains(-oo) is S.false
+
+
+def test_issue_2799():
+    U = S.UniversalSet
+    a = Symbol('a', real=True)
+    inf_interval = Interval(a, oo)
+    R = S.Reals
+
+    assert U + inf_interval == inf_interval + U
+    assert U + R == R + U
+    assert R + inf_interval == inf_interval + R
+
+
+def test_issue_9706():
+    assert Interval(-oo, 0).closure == Interval(-oo, 0, True, False)
+    assert Interval(0, oo).closure == Interval(0, oo, False, True)
+    assert Interval(-oo, oo).closure == Interval(-oo, oo)
+
+
+def test_issue_8257():
+    reals_plus_infinity = Union(Interval(-oo, oo), FiniteSet(oo))
+    reals_plus_negativeinfinity = Union(Interval(-oo, oo), FiniteSet(-oo))
+    assert Interval(-oo, oo) + FiniteSet(oo) == reals_plus_infinity
+    assert FiniteSet(oo) + Interval(-oo, oo) == reals_plus_infinity
+    assert Interval(-oo, oo) + FiniteSet(-oo) == reals_plus_negativeinfinity
+    assert FiniteSet(-oo) + Interval(-oo, oo) == reals_plus_negativeinfinity
+
+
+def test_issue_10931():
+    assert S.Integers - S.Integers == EmptySet
+    assert S.Integers - S.Reals == EmptySet
+
+
+def test_issue_11174():
+    soln = Intersection(Interval(-oo, oo), FiniteSet(-x), evaluate=False)
+    assert Intersection(FiniteSet(-x), S.Reals) == soln
+
+    soln = Intersection(S.Reals, FiniteSet(x), evaluate=False)
+    assert Intersection(FiniteSet(x), S.Reals) == soln
+
+
+def test_issue_18505():
+    assert ImageSet(Lambda(n, sqrt(pi*n/2 - 1 + pi/2)), S.Integers).contains(0) == \
+            Contains(0, ImageSet(Lambda(n, sqrt(pi*n/2 - 1 + pi/2)), S.Integers))
+
+
+def test_finite_set_intersection():
+    # The following should not produce recursion errors
+    # Note: some of these are not completely correct. See
+    # https://github.com/sympy/sympy/issues/16342.
+    assert Intersection(FiniteSet(-oo, x), FiniteSet(x)) == FiniteSet(x)
+    assert Intersection._handle_finite_sets([FiniteSet(-oo, x), FiniteSet(0, x)]) == FiniteSet(x)
+
+    assert Intersection._handle_finite_sets([FiniteSet(-oo, x), FiniteSet(x)]) == FiniteSet(x)
+    assert Intersection._handle_finite_sets([FiniteSet(2, 3, x, y), FiniteSet(1, 2, x)]) == \
+        Intersection._handle_finite_sets([FiniteSet(1, 2, x), FiniteSet(2, 3, x, y)]) == \
+        Intersection(FiniteSet(1, 2, x), FiniteSet(2, 3, x, y)) == \
+        Intersection(FiniteSet(1, 2, x), FiniteSet(2, x, y))
+
+    assert FiniteSet(1+x-y) & FiniteSet(1) == \
+        FiniteSet(1) & FiniteSet(1+x-y) == \
+        Intersection(FiniteSet(1+x-y), FiniteSet(1), evaluate=False)
+
+    assert FiniteSet(1) & FiniteSet(x) == FiniteSet(x) & FiniteSet(1) == \
+        Intersection(FiniteSet(1), FiniteSet(x), evaluate=False)
+
+    assert FiniteSet({x}) & FiniteSet({x, y}) == \
+        Intersection(FiniteSet({x}), FiniteSet({x, y}), evaluate=False)
+
+
+def test_union_intersection_constructor():
+    # The actual exception does not matter here, so long as these fail
+    sets = [FiniteSet(1), FiniteSet(2)]
+    raises(Exception, lambda: Union(sets))
+    raises(Exception, lambda: Intersection(sets))
+    raises(Exception, lambda: Union(tuple(sets)))
+    raises(Exception, lambda: Intersection(tuple(sets)))
+    raises(Exception, lambda: Union(i for i in sets))
+    raises(Exception, lambda: Intersection(i for i in sets))
+
+    # Python sets are treated the same as FiniteSet
+    # The union of a single set (of sets) is the set (of sets) itself
+    assert Union(set(sets)) == FiniteSet(*sets)
+    assert Intersection(set(sets)) == FiniteSet(*sets)
+
+    assert Union({1}, {2}) == FiniteSet(1, 2)
+    assert Intersection({1, 2}, {2, 3}) == FiniteSet(2)
+
+
+def test_Union_contains():
+    assert zoo not in Union(
+        Interval.open(-oo, 0), Interval.open(0, oo))
+
+
+@XFAIL
+def test_issue_16878b():
+    # in intersection_sets for (ImageSet, Set) there is no code
+    # that handles the base_set of S.Reals like there is
+    # for Integers
+    assert imageset(x, (x, x), S.Reals).is_subset(S.Reals**2) is True
+
+def test_DisjointUnion():
+    assert DisjointUnion(FiniteSet(1, 2, 3), FiniteSet(1, 2, 3), FiniteSet(1, 2, 3)).rewrite(Union) == (FiniteSet(1, 2, 3) * FiniteSet(0, 1, 2))
+    assert DisjointUnion(Interval(1, 3), Interval(2, 4)).rewrite(Union) == Union(Interval(1, 3) * FiniteSet(0), Interval(2, 4) * FiniteSet(1))
+    assert DisjointUnion(Interval(0, 5), Interval(0, 5)).rewrite(Union) == Union(Interval(0, 5) * FiniteSet(0), Interval(0, 5) * FiniteSet(1))
+    assert DisjointUnion(Interval(-1, 2), S.EmptySet, S.EmptySet).rewrite(Union) == Interval(-1, 2) * FiniteSet(0)
+    assert DisjointUnion(Interval(-1, 2)).rewrite(Union) == Interval(-1, 2) * FiniteSet(0)
+    assert DisjointUnion(S.EmptySet, Interval(-1, 2), S.EmptySet).rewrite(Union) == Interval(-1, 2) * FiniteSet(1)
+    assert DisjointUnion(Interval(-oo, oo)).rewrite(Union) == Interval(-oo, oo) * FiniteSet(0)
+    assert DisjointUnion(S.EmptySet).rewrite(Union) == S.EmptySet
+    assert DisjointUnion().rewrite(Union) == S.EmptySet
+    raises(TypeError, lambda: DisjointUnion(Symbol('n')))
+
+    x = Symbol("x")
+    y = Symbol("y")
+    z = Symbol("z")
+    assert DisjointUnion(FiniteSet(x), FiniteSet(y, z)).rewrite(Union) == (FiniteSet(x) * FiniteSet(0)) + (FiniteSet(y, z) * FiniteSet(1))
+
+def test_DisjointUnion_is_empty():
+    assert DisjointUnion(S.EmptySet).is_empty is True
+    assert DisjointUnion(S.EmptySet, S.EmptySet).is_empty is True
+    assert DisjointUnion(S.EmptySet, FiniteSet(1, 2, 3)).is_empty is False
+
+def test_DisjointUnion_is_iterable():
+    assert DisjointUnion(S.Integers, S.Naturals, S.Rationals).is_iterable is True
+    assert DisjointUnion(S.EmptySet, S.Reals).is_iterable is False
+    assert DisjointUnion(FiniteSet(1, 2, 3), S.EmptySet, FiniteSet(x, y)).is_iterable is True
+    assert DisjointUnion(S.EmptySet, S.EmptySet).is_iterable is False
+
+def test_DisjointUnion_contains():
+    assert (0, 0) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (0, 1) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (0, 2) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (1, 0) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (1, 1) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (1, 2) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (2, 0) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (2, 1) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (2, 2) in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (0, 1, 2) not in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (0, 0.5) not in DisjointUnion(FiniteSet(0.5))
+    assert (0, 5) not in DisjointUnion(FiniteSet(0, 1, 2), FiniteSet(0, 1, 2), FiniteSet(0, 1, 2))
+    assert (x, 0) in DisjointUnion(FiniteSet(x, y, z), S.EmptySet, FiniteSet(y))
+    assert (y, 0) in DisjointUnion(FiniteSet(x, y, z), S.EmptySet, FiniteSet(y))
+    assert (z, 0) in DisjointUnion(FiniteSet(x, y, z), S.EmptySet, FiniteSet(y))
+    assert (y, 2) in DisjointUnion(FiniteSet(x, y, z), S.EmptySet, FiniteSet(y))
+    assert (0.5, 0) in DisjointUnion(Interval(0, 1), Interval(0, 2))
+    assert (0.5, 1) in DisjointUnion(Interval(0, 1), Interval(0, 2))
+    assert (1.5, 0) not in DisjointUnion(Interval(0, 1), Interval(0, 2))
+    assert (1.5, 1) in DisjointUnion(Interval(0, 1), Interval(0, 2))
+
+def test_DisjointUnion_iter():
+    D = DisjointUnion(FiniteSet(3, 5, 7, 9), FiniteSet(x, y, z))
+    it = iter(D)
+    L1 = [(x, 1), (y, 1), (z, 1)]
+    L2 = [(3, 0), (5, 0), (7, 0), (9, 0)]
+    nxt = next(it)
+    assert nxt in L2
+    L2.remove(nxt)
+    nxt = next(it)
+    assert nxt in L1
+    L1.remove(nxt)
+    nxt = next(it)
+    assert nxt in L2
+    L2.remove(nxt)
+    nxt = next(it)
+    assert nxt in L1
+    L1.remove(nxt)
+    nxt = next(it)
+    assert nxt in L2
+    L2.remove(nxt)
+    nxt = next(it)
+    assert nxt in L1
+    L1.remove(nxt)
+    nxt = next(it)
+    assert nxt in L2
+    L2.remove(nxt)
+    raises(StopIteration, lambda: next(it))
+
+    raises(ValueError, lambda: iter(DisjointUnion(Interval(0, 1), S.EmptySet)))
+
+def test_DisjointUnion_len():
+    assert len(DisjointUnion(FiniteSet(3, 5, 7, 9), FiniteSet(x, y, z))) == 7
+    assert len(DisjointUnion(S.EmptySet, S.EmptySet, FiniteSet(x, y, z), S.EmptySet)) == 3
+    raises(ValueError, lambda: len(DisjointUnion(Interval(0, 1), S.EmptySet)))
+
+def test_SetKind_ProductSet():
+    p = ProductSet(FiniteSet(Matrix([1, 2])), FiniteSet(Matrix([1, 2])))
+    mk = MatrixKind(NumberKind)
+    k = SetKind(TupleKind(mk, mk))
+    assert p.kind is k
+    assert ProductSet(Interval(1, 2), FiniteSet(Matrix([1, 2]))).kind is SetKind(TupleKind(NumberKind, mk))
+
+def test_SetKind_Interval():
+    assert Interval(1, 2).kind is SetKind(NumberKind)
+
+def test_SetKind_EmptySet_UniversalSet():
+    assert S.UniversalSet.kind is SetKind(UndefinedKind)
+    assert EmptySet.kind is SetKind()
+
+def test_SetKind_FiniteSet():
+    assert FiniteSet(1, Matrix([1, 2])).kind is SetKind(UndefinedKind)
+    assert FiniteSet(1, 2).kind is SetKind(NumberKind)
+
+def test_SetKind_Unions():
+    assert Union(FiniteSet(Matrix([1, 2])), Interval(1, 2)).kind is SetKind(UndefinedKind)
+    assert Union(Interval(1, 2), Interval(1, 7)).kind is SetKind(NumberKind)
+
+def test_SetKind_DisjointUnion():
+    A = FiniteSet(1, 2, 3)
+    B = Interval(0, 5)
+    assert DisjointUnion(A, B).kind is SetKind(NumberKind)
+
+def test_SetKind_evaluate_False():
+    U = lambda *args: Union(*args, evaluate=False)
+    assert U({1}, EmptySet).kind is SetKind(NumberKind)
+    assert U(Interval(1, 2), EmptySet).kind is SetKind(NumberKind)
+    assert U({1}, S.UniversalSet).kind is SetKind(UndefinedKind)
+    assert U(Interval(1, 2), Interval(4, 5),
+            FiniteSet(1)).kind is SetKind(NumberKind)
+    I = lambda *args: Intersection(*args, evaluate=False)
+    assert I({1}, S.UniversalSet).kind is SetKind(NumberKind)
+    assert I({1}, EmptySet).kind is SetKind()
+    C = lambda *args: Complement(*args, evaluate=False)
+    assert C(S.UniversalSet, {1, 2, 4, 5}).kind is SetKind(UndefinedKind)
+    assert C({1, 2, 3, 4, 5}, EmptySet).kind is SetKind(NumberKind)
+    assert C(EmptySet, {1, 2, 3, 4, 5}).kind is SetKind()
+
+def test_SetKind_ImageSet_Special():
+    f = ImageSet(Lambda(n, n ** 2), Interval(1, 4))
+    assert (f - FiniteSet(3)).kind is SetKind(NumberKind)
+    assert (f + Interval(16, 17)).kind is SetKind(NumberKind)
+    assert (f + FiniteSet(17)).kind is SetKind(NumberKind)
+
+def test_issue_20089():
+    B = FiniteSet(FiniteSet(1, 2), FiniteSet(1))
+    assert 1 not in B
+    assert 1.0 not in B
+    assert not Eq(1, FiniteSet(1, 2))
+    assert FiniteSet(1) in B
+    A = FiniteSet(1, 2)
+    assert A in B
+    assert B.issubset(B)
+    assert not A.issubset(B)
+    assert 1 in A
+    C = FiniteSet(FiniteSet(1, 2), FiniteSet(1), 1, 2)
+    assert A.issubset(C)
+    assert B.issubset(C)
+
+def test_issue_19378():
+    a = FiniteSet(1, 2)
+    b = ProductSet(a, a)
+    c = FiniteSet((1, 1), (1, 2), (2, 1), (2, 2))
+    assert b.is_subset(c) is True
+    d = FiniteSet(1)
+    assert b.is_subset(d) is False
+    assert Eq(c, b).simplify() is S.true
+    assert Eq(a, c).simplify() is S.false
+    assert Eq({1}, {x}).simplify() == Eq({1}, {x})
+
+def test_intersection_symbolic():
+    n = Symbol('n')
+    # These should not throw an error
+    assert isinstance(Intersection(Range(n), Range(100)), Intersection)
+    assert isinstance(Intersection(Range(n), Interval(1, 100)), Intersection)
+    assert isinstance(Intersection(Range(100), Interval(1, n)), Intersection)
+
+
+@XFAIL
+def test_intersection_symbolic_failing():
+    n = Symbol('n', integer=True, positive=True)
+    assert Intersection(Range(10, n), Range(4, 500, 5)) == Intersection(
+        Range(14, n), Range(14, 500, 5))
+    assert Intersection(Interval(10, n), Range(4, 500, 5)) == Intersection(
+        Interval(14, n), Range(14, 500, 5))
+
+
+def test_issue_20379():
+    #https://github.com/sympy/sympy/issues/20379
+    x = pi - 3.14159265358979
+    assert FiniteSet(x).evalf(2) == FiniteSet(Float('3.23108914886517e-15', 2))
+
+def test_finiteset_simplify():
+    S = FiniteSet(1, cos(1)**2 + sin(1)**2)
+    assert S.simplify() == {1}
+
+def test_issue_14336():
+    #https://github.com/sympy/sympy/issues/14336
+    U = S.Complexes
+    x = Symbol("x")
+    U -= U.intersect(Ne(x, 1).as_set())
+    U -= U.intersect(S.true.as_set())
+
+def test_issue_9855():
+    #https://github.com/sympy/sympy/issues/9855
+    x, y, z = symbols('x, y, z', real=True)
+    s1 = Interval(1, x) & Interval(y, 2)
+    s2 = Interval(1, 2)
+    assert s1.is_subset(s2) == None

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falcon/lib/python3.10/site-packages/setuptools/_vendor/autocommand-2.2.2.dist-info/LICENSE

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+GNU LESSER GENERAL PUBLIC LICENSE
+                       Version 3, 29 June 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+
+  This version of the GNU Lesser General Public License incorporates
+the terms and conditions of version 3 of the GNU General Public
+License, supplemented by the additional permissions listed below.
+
+  0. Additional Definitions.
+
+  As used herein, "this License" refers to version 3 of the GNU Lesser
+General Public License, and the "GNU GPL" refers to version 3 of the GNU
+General Public License.
+
+  "The Library" refers to a covered work governed by this License,
+other than an Application or a Combined Work as defined below.
+
+  An "Application" is any work that makes use of an interface provided
+by the Library, but which is not otherwise based on the Library.
+Defining a subclass of a class defined by the Library is deemed a mode
+of using an interface provided by the Library.
+
+  A "Combined Work" is a work produced by combining or linking an
+Application with the Library.  The particular version of the Library
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+Version".
+
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+   Library is used in it and that the Library and its use are
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+
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+

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falcon/lib/python3.10/site-packages/setuptools/_vendor/autocommand-2.2.2.dist-info/top_level.txt

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falcon/lib/python3.10/site-packages/setuptools/_vendor/autocommand/errors.py

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+# Copyright 2014-2016 Nathan West
+#
+# This file is part of autocommand.
+#
+# autocommand is free software: you can redistribute it and/or modify
+# it under the terms of the GNU Lesser General Public License as published by
+# the Free Software Foundation, either version 3 of the License, or
+# (at your option) any later version.
+#
+# autocommand is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU Lesser General Public License for more details.
+#
+# You should have received a copy of the GNU Lesser General Public License
+# along with autocommand.  If not, see <http://www.gnu.org/licenses/>.
+
+
+class AutocommandError(Exception):
+    '''Base class for autocommand exceptions'''
+    pass
+
+# Individual modules will define errors specific to that module.

falcon/lib/python3.10/site-packages/setuptools/_vendor/inflect/compat/py38.py

@@ -0,0 +1,7 @@
+import sys
+
+
+if sys.version_info > (3, 9):
+    from typing import Annotated
+else:  # pragma: no cover
+    from typing_extensions import Annotated  # noqa: F401

falcon/lib/python3.10/site-packages/setuptools/_vendor/jaraco.collections-5.1.0.dist-info/METADATA

@@ -0,0 +1,85 @@
+Metadata-Version: 2.1
+Name: jaraco.collections
+Version: 5.1.0
+Summary: Collection objects similar to those in stdlib by jaraco
+Author-email: "Jason R. Coombs" <jaraco@jaraco.com>
+Project-URL: Source, https://github.com/jaraco/jaraco.collections
+Classifier: Development Status :: 5 - Production/Stable
+Classifier: Intended Audience :: Developers
+Classifier: License :: OSI Approved :: MIT License
+Classifier: Programming Language :: Python :: 3
+Classifier: Programming Language :: Python :: 3 :: Only
+Requires-Python: >=3.8
+Description-Content-Type: text/x-rst
+License-File: LICENSE
+Requires-Dist: jaraco.text
+Provides-Extra: check
+Requires-Dist: pytest-checkdocs >=2.4 ; extra == 'check'
+Requires-Dist: pytest-ruff >=0.2.1 ; (sys_platform != "cygwin") and extra == 'check'
+Provides-Extra: cover
+Requires-Dist: pytest-cov ; extra == 'cover'
+Provides-Extra: doc
+Requires-Dist: sphinx >=3.5 ; extra == 'doc'
+Requires-Dist: jaraco.packaging >=9.3 ; extra == 'doc'
+Requires-Dist: rst.linker >=1.9 ; extra == 'doc'
+Requires-Dist: furo ; extra == 'doc'
+Requires-Dist: sphinx-lint ; extra == 'doc'
+Requires-Dist: jaraco.tidelift >=1.4 ; extra == 'doc'
+Provides-Extra: enabler
+Requires-Dist: pytest-enabler >=2.2 ; extra == 'enabler'
+Provides-Extra: test
+Requires-Dist: pytest !=8.1.*,>=6 ; extra == 'test'
+Provides-Extra: type
+Requires-Dist: pytest-mypy ; extra == 'type'
+
+.. image:: https://img.shields.io/pypi/v/jaraco.collections.svg
+   :target: https://pypi.org/project/jaraco.collections
+
+.. image:: https://img.shields.io/pypi/pyversions/jaraco.collections.svg
+
+.. image:: https://github.com/jaraco/jaraco.collections/actions/workflows/main.yml/badge.svg
+   :target: https://github.com/jaraco/jaraco.collections/actions?query=workflow%3A%22tests%22
+   :alt: tests
+
+.. image:: https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/charliermarsh/ruff/main/assets/badge/v2.json
+    :target: https://github.com/astral-sh/ruff
+    :alt: Ruff
+
+.. image:: https://readthedocs.org/projects/jaracocollections/badge/?version=latest
+   :target: https://jaracocollections.readthedocs.io/en/latest/?badge=latest
+
+.. image:: https://img.shields.io/badge/skeleton-2024-informational
+   :target: https://blog.jaraco.com/skeleton
+
+.. image:: https://tidelift.com/badges/package/pypi/jaraco.collections
+   :target: https://tidelift.com/subscription/pkg/pypi-jaraco.collections?utm_source=pypi-jaraco.collections&utm_medium=readme
+
+Models and classes to supplement the stdlib 'collections' module.
+
+See the docs, linked above, for descriptions and usage examples.
+
+Highlights include:
+
+- RangeMap: A mapping that accepts a range of values for keys.
+- Projection: A subset over an existing mapping.
+- KeyTransformingDict: Generalized mapping with keys transformed by a function.
+- FoldedCaseKeyedDict: A dict whose string keys are case-insensitive.
+- BijectiveMap: A map where keys map to values and values back to their keys.
+- ItemsAsAttributes: A mapping mix-in exposing items as attributes.
+- IdentityOverrideMap: A map whose keys map by default to themselves unless overridden.
+- FrozenDict: A hashable, immutable map.
+- Enumeration: An object whose keys are enumerated.
+- Everything: A container that contains all things.
+- Least, Greatest: Objects that are always less than or greater than any other.
+- pop_all: Return all items from the mutable sequence and remove them from that sequence.
+- DictStack: A stack of dicts, great for sharing scopes.
+- WeightedLookup: A specialized RangeMap for selecting an item by weights.
+
+For Enterprise
+==============
+
+Available as part of the Tidelift Subscription.
+
+This project and the maintainers of thousands of other packages are working with Tidelift to deliver one enterprise subscription that covers all of the open source you use.
+
+`Learn more <https://tidelift.com/subscription/pkg/pypi-jaraco.collections?utm_source=pypi-jaraco.collections&utm_medium=referral&utm_campaign=github>`_.

falcon/lib/python3.10/site-packages/setuptools/_vendor/jaraco.collections-5.1.0.dist-info/WHEEL

@@ -0,0 +1,5 @@
+Wheel-Version: 1.0
+Generator: setuptools (73.0.1)
+Root-Is-Purelib: true
+Tag: py3-none-any
+

falcon/lib/python3.10/site-packages/setuptools/_vendor/packaging-24.2.dist-info/LICENSE

@@ -0,0 +1,3 @@
+This software is made available under the terms of *either* of the licenses
+found in LICENSE.APACHE or LICENSE.BSD. Contributions to this software is made
+under the terms of *both* these licenses.

falcon/lib/python3.10/site-packages/setuptools/_vendor/packaging-24.2.dist-info/LICENSE.APACHE

@@ -0,0 +1,177 @@
+
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
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+
+      "Legal Entity" shall mean the union of the acting entity and all
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+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
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+      including but not limited to software source code, documentation
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+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
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+      the terms of any separate license agreement you may have executed
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+   6. Trademarks. This License does not grant permission to use the trade
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+
+   END OF TERMS AND CONDITIONS

falcon/lib/python3.10/site-packages/setuptools/_vendor/packaging-24.2.dist-info/LICENSE.BSD

@@ -0,0 +1,23 @@
+Copyright (c) Donald Stufft and individual contributors.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    1. Redistributions of source code must retain the above copyright notice,
+       this list of conditions and the following disclaimer.
+
+    2. Redistributions in binary form must reproduce the above copyright
+       notice, this list of conditions and the following disclaimer in the
+       documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

falcon/lib/python3.10/site-packages/setuptools/_vendor/packaging-24.2.dist-info/METADATA

@@ -0,0 +1,102 @@
+Metadata-Version: 2.3
+Name: packaging
+Version: 24.2
+Summary: Core utilities for Python packages
+Author-email: Donald Stufft <donald@stufft.io>
+Requires-Python: >=3.8
+Description-Content-Type: text/x-rst
+Classifier: Development Status :: 5 - Production/Stable
+Classifier: Intended Audience :: Developers
+Classifier: License :: OSI Approved :: Apache Software License
+Classifier: License :: OSI Approved :: BSD License
+Classifier: Programming Language :: Python
+Classifier: Programming Language :: Python :: 3
+Classifier: Programming Language :: Python :: 3 :: Only
+Classifier: Programming Language :: Python :: 3.8
+Classifier: Programming Language :: Python :: 3.9
+Classifier: Programming Language :: Python :: 3.10
+Classifier: Programming Language :: Python :: 3.11
+Classifier: Programming Language :: Python :: 3.12
+Classifier: Programming Language :: Python :: 3.13
+Classifier: Programming Language :: Python :: Implementation :: CPython
+Classifier: Programming Language :: Python :: Implementation :: PyPy
+Classifier: Typing :: Typed
+Project-URL: Documentation, https://packaging.pypa.io/
+Project-URL: Source, https://github.com/pypa/packaging
+
+packaging
+=========
+
+.. start-intro
+
+Reusable core utilities for various Python Packaging
+`interoperability specifications <https://packaging.python.org/specifications/>`_.
+
+This library provides utilities that implement the interoperability
+specifications which have clearly one correct behaviour (eg: :pep:`440`)
+or benefit greatly from having a single shared implementation (eg: :pep:`425`).
+
+.. end-intro
+
+The ``packaging`` project includes the following: version handling, specifiers,
+markers, requirements, tags, utilities.
+
+Documentation
+-------------
+
+The `documentation`_ provides information and the API for the following:
+
+- Version Handling
+- Specifiers
+- Markers
+- Requirements
+- Tags
+- Utilities
+
+Installation
+------------
+
+Use ``pip`` to install these utilities::
+
+    pip install packaging
+
+The ``packaging`` library uses calendar-based versioning (``YY.N``).
+
+Discussion
+----------
+
+If you run into bugs, you can file them in our `issue tracker`_.
+
+You can also join ``#pypa`` on Freenode to ask questions or get involved.
+
+
+.. _`documentation`: https://packaging.pypa.io/
+.. _`issue tracker`: https://github.com/pypa/packaging/issues
+
+
+Code of Conduct
+---------------
+
+Everyone interacting in the packaging project's codebases, issue trackers, chat
+rooms, and mailing lists is expected to follow the `PSF Code of Conduct`_.
+
+.. _PSF Code of Conduct: https://github.com/pypa/.github/blob/main/CODE_OF_CONDUCT.md
+
+Contributing
+------------
+
+The ``CONTRIBUTING.rst`` file outlines how to contribute to this project as
+well as how to report a potential security issue. The documentation for this
+project also covers information about `project development`_ and `security`_.
+
+.. _`project development`: https://packaging.pypa.io/en/latest/development/
+.. _`security`: https://packaging.pypa.io/en/latest/security/
+
+Project History
+---------------
+
+Please review the ``CHANGELOG.rst`` file or the `Changelog documentation`_ for
+recent changes and project history.
+
+.. _`Changelog documentation`: https://packaging.pypa.io/en/latest/changelog/
+

falcon/lib/python3.10/site-packages/setuptools/_vendor/packaging-24.2.dist-info/WHEEL

@@ -0,0 +1,4 @@
+Wheel-Version: 1.0
+Generator: flit 3.10.1
+Root-Is-Purelib: true
+Tag: py3-none-any

falcon/lib/python3.10/site-packages/setuptools/_vendor/tomli/__init__.py

@@ -0,0 +1,11 @@
+# SPDX-License-Identifier: MIT
+# SPDX-FileCopyrightText: 2021 Taneli Hukkinen
+# Licensed to PSF under a Contributor Agreement.
+
+__all__ = ("loads", "load", "TOMLDecodeError")
+__version__ = "2.0.1"  # DO NOT EDIT THIS LINE MANUALLY. LET bump2version UTILITY DO IT
+
+from ._parser import TOMLDecodeError, load, loads
+
+# Pretend this exception was created here.
+TOMLDecodeError.__module__ = __name__

falcon/lib/python3.10/site-packages/setuptools/_vendor/tomli/_parser.py

@@ -0,0 +1,691 @@
+# SPDX-License-Identifier: MIT
+# SPDX-FileCopyrightText: 2021 Taneli Hukkinen
+# Licensed to PSF under a Contributor Agreement.
+
+from __future__ import annotations
+
+from collections.abc import Iterable
+import string
+from types import MappingProxyType
+from typing import Any, BinaryIO, NamedTuple
+
+from ._re import (
+    RE_DATETIME,
+    RE_LOCALTIME,
+    RE_NUMBER,
+    match_to_datetime,
+    match_to_localtime,
+    match_to_number,
+)
+from ._types import Key, ParseFloat, Pos
+
+ASCII_CTRL = frozenset(chr(i) for i in range(32)) | frozenset(chr(127))
+
+# Neither of these sets include quotation mark or backslash. They are
+# currently handled as separate cases in the parser functions.
+ILLEGAL_BASIC_STR_CHARS = ASCII_CTRL - frozenset("\t")
+ILLEGAL_MULTILINE_BASIC_STR_CHARS = ASCII_CTRL - frozenset("\t\n")
+
+ILLEGAL_LITERAL_STR_CHARS = ILLEGAL_BASIC_STR_CHARS
+ILLEGAL_MULTILINE_LITERAL_STR_CHARS = ILLEGAL_MULTILINE_BASIC_STR_CHARS
+
+ILLEGAL_COMMENT_CHARS = ILLEGAL_BASIC_STR_CHARS
+
+TOML_WS = frozenset(" \t")
+TOML_WS_AND_NEWLINE = TOML_WS | frozenset("\n")
+BARE_KEY_CHARS = frozenset(string.ascii_letters + string.digits + "-_")
+KEY_INITIAL_CHARS = BARE_KEY_CHARS | frozenset("\"'")
+HEXDIGIT_CHARS = frozenset(string.hexdigits)
+
+BASIC_STR_ESCAPE_REPLACEMENTS = MappingProxyType(
+    {
+        "\\b": "\u0008",  # backspace
+        "\\t": "\u0009",  # tab
+        "\\n": "\u000A",  # linefeed
+        "\\f": "\u000C",  # form feed
+        "\\r": "\u000D",  # carriage return
+        '\\"': "\u0022",  # quote
+        "\\\\": "\u005C",  # backslash
+    }
+)
+
+
+class TOMLDecodeError(ValueError):
+    """An error raised if a document is not valid TOML."""
+
+
+def load(__fp: BinaryIO, *, parse_float: ParseFloat = float) -> dict[str, Any]:
+    """Parse TOML from a binary file object."""
+    b = __fp.read()
+    try:
+        s = b.decode()
+    except AttributeError:
+        raise TypeError(
+            "File must be opened in binary mode, e.g. use `open('foo.toml', 'rb')`"
+        ) from None
+    return loads(s, parse_float=parse_float)
+
+
+def loads(__s: str, *, parse_float: ParseFloat = float) -> dict[str, Any]:  # noqa: C901
+    """Parse TOML from a string."""
+
+    # The spec allows converting "\r\n" to "\n", even in string
+    # literals. Let's do so to simplify parsing.
+    src = __s.replace("\r\n", "\n")
+    pos = 0
+    out = Output(NestedDict(), Flags())
+    header: Key = ()
+    parse_float = make_safe_parse_float(parse_float)
+
+    # Parse one statement at a time
+    # (typically means one line in TOML source)
+    while True:
+        # 1. Skip line leading whitespace
+        pos = skip_chars(src, pos, TOML_WS)
+
+        # 2. Parse rules. Expect one of the following:
+        #    - end of file
+        #    - end of line
+        #    - comment
+        #    - key/value pair
+        #    - append dict to list (and move to its namespace)
+        #    - create dict (and move to its namespace)
+        # Skip trailing whitespace when applicable.
+        try:
+            char = src[pos]
+        except IndexError:
+            break
+        if char == "\n":
+            pos += 1
+            continue
+        if char in KEY_INITIAL_CHARS:
+            pos = key_value_rule(src, pos, out, header, parse_float)
+            pos = skip_chars(src, pos, TOML_WS)
+        elif char == "[":
+            try:
+                second_char: str | None = src[pos + 1]
+            except IndexError:
+                second_char = None
+            out.flags.finalize_pending()
+            if second_char == "[":
+                pos, header = create_list_rule(src, pos, out)
+            else:
+                pos, header = create_dict_rule(src, pos, out)
+            pos = skip_chars(src, pos, TOML_WS)
+        elif char != "#":
+            raise suffixed_err(src, pos, "Invalid statement")
+
+        # 3. Skip comment
+        pos = skip_comment(src, pos)
+
+        # 4. Expect end of line or end of file
+        try:
+            char = src[pos]
+        except IndexError:
+            break
+        if char != "\n":
+            raise suffixed_err(
+                src, pos, "Expected newline or end of document after a statement"
+            )
+        pos += 1
+
+    return out.data.dict
+
+
+class Flags:
+    """Flags that map to parsed keys/namespaces."""
+
+    # Marks an immutable namespace (inline array or inline table).
+    FROZEN = 0
+    # Marks a nest that has been explicitly created and can no longer
+    # be opened using the "[table]" syntax.
+    EXPLICIT_NEST = 1
+
+    def __init__(self) -> None:
+        self._flags: dict[str, dict] = {}
+        self._pending_flags: set[tuple[Key, int]] = set()
+
+    def add_pending(self, key: Key, flag: int) -> None:
+        self._pending_flags.add((key, flag))
+
+    def finalize_pending(self) -> None:
+        for key, flag in self._pending_flags:
+            self.set(key, flag, recursive=False)
+        self._pending_flags.clear()
+
+    def unset_all(self, key: Key) -> None:
+        cont = self._flags
+        for k in key[:-1]:
+            if k not in cont:
+                return
+            cont = cont[k]["nested"]
+        cont.pop(key[-1], None)
+
+    def set(self, key: Key, flag: int, *, recursive: bool) -> None:  # noqa: A003
+        cont = self._flags
+        key_parent, key_stem = key[:-1], key[-1]
+        for k in key_parent:
+            if k not in cont:
+                cont[k] = {"flags": set(), "recursive_flags": set(), "nested": {}}
+            cont = cont[k]["nested"]
+        if key_stem not in cont:
+            cont[key_stem] = {"flags": set(), "recursive_flags": set(), "nested": {}}
+        cont[key_stem]["recursive_flags" if recursive else "flags"].add(flag)
+
+    def is_(self, key: Key, flag: int) -> bool:
+        if not key:
+            return False  # document root has no flags
+        cont = self._flags
+        for k in key[:-1]:
+            if k not in cont:
+                return False
+            inner_cont = cont[k]
+            if flag in inner_cont["recursive_flags"]:
+                return True
+            cont = inner_cont["nested"]
+        key_stem = key[-1]
+        if key_stem in cont:
+            cont = cont[key_stem]
+            return flag in cont["flags"] or flag in cont["recursive_flags"]
+        return False
+
+
+class NestedDict:
+    def __init__(self) -> None:
+        # The parsed content of the TOML document
+        self.dict: dict[str, Any] = {}
+
+    def get_or_create_nest(
+        self,
+        key: Key,
+        *,
+        access_lists: bool = True,
+    ) -> dict:
+        cont: Any = self.dict
+        for k in key:
+            if k not in cont:
+                cont[k] = {}
+            cont = cont[k]
+            if access_lists and isinstance(cont, list):
+                cont = cont[-1]
+            if not isinstance(cont, dict):
+                raise KeyError("There is no nest behind this key")
+        return cont
+
+    def append_nest_to_list(self, key: Key) -> None:
+        cont = self.get_or_create_nest(key[:-1])
+        last_key = key[-1]
+        if last_key in cont:
+            list_ = cont[last_key]
+            if not isinstance(list_, list):
+                raise KeyError("An object other than list found behind this key")
+            list_.append({})
+        else:
+            cont[last_key] = [{}]
+
+
+class Output(NamedTuple):
+    data: NestedDict
+    flags: Flags
+
+
+def skip_chars(src: str, pos: Pos, chars: Iterable[str]) -> Pos:
+    try:
+        while src[pos] in chars:
+            pos += 1
+    except IndexError:
+        pass
+    return pos
+
+
+def skip_until(
+    src: str,
+    pos: Pos,
+    expect: str,
+    *,
+    error_on: frozenset[str],
+    error_on_eof: bool,
+) -> Pos:
+    try:
+        new_pos = src.index(expect, pos)
+    except ValueError:
+        new_pos = len(src)
+        if error_on_eof:
+            raise suffixed_err(src, new_pos, f"Expected {expect!r}") from None
+
+    if not error_on.isdisjoint(src[pos:new_pos]):
+        while src[pos] not in error_on:
+            pos += 1
+        raise suffixed_err(src, pos, f"Found invalid character {src[pos]!r}")
+    return new_pos
+
+
+def skip_comment(src: str, pos: Pos) -> Pos:
+    try:
+        char: str | None = src[pos]
+    except IndexError:
+        char = None
+    if char == "#":
+        return skip_until(
+            src, pos + 1, "\n", error_on=ILLEGAL_COMMENT_CHARS, error_on_eof=False
+        )
+    return pos
+
+
+def skip_comments_and_array_ws(src: str, pos: Pos) -> Pos:
+    while True:
+        pos_before_skip = pos
+        pos = skip_chars(src, pos, TOML_WS_AND_NEWLINE)
+        pos = skip_comment(src, pos)
+        if pos == pos_before_skip:
+            return pos
+
+
+def create_dict_rule(src: str, pos: Pos, out: Output) -> tuple[Pos, Key]:
+    pos += 1  # Skip "["
+    pos = skip_chars(src, pos, TOML_WS)
+    pos, key = parse_key(src, pos)
+
+    if out.flags.is_(key, Flags.EXPLICIT_NEST) or out.flags.is_(key, Flags.FROZEN):
+        raise suffixed_err(src, pos, f"Cannot declare {key} twice")
+    out.flags.set(key, Flags.EXPLICIT_NEST, recursive=False)
+    try:
+        out.data.get_or_create_nest(key)
+    except KeyError:
+        raise suffixed_err(src, pos, "Cannot overwrite a value") from None
+
+    if not src.startswith("]", pos):
+        raise suffixed_err(src, pos, "Expected ']' at the end of a table declaration")
+    return pos + 1, key
+
+
+def create_list_rule(src: str, pos: Pos, out: Output) -> tuple[Pos, Key]:
+    pos += 2  # Skip "[["
+    pos = skip_chars(src, pos, TOML_WS)
+    pos, key = parse_key(src, pos)
+
+    if out.flags.is_(key, Flags.FROZEN):
+        raise suffixed_err(src, pos, f"Cannot mutate immutable namespace {key}")
+    # Free the namespace now that it points to another empty list item...
+    out.flags.unset_all(key)
+    # ...but this key precisely is still prohibited from table declaration
+    out.flags.set(key, Flags.EXPLICIT_NEST, recursive=False)
+    try:
+        out.data.append_nest_to_list(key)
+    except KeyError:
+        raise suffixed_err(src, pos, "Cannot overwrite a value") from None
+
+    if not src.startswith("]]", pos):
+        raise suffixed_err(src, pos, "Expected ']]' at the end of an array declaration")
+    return pos + 2, key
+
+
+def key_value_rule(
+    src: str, pos: Pos, out: Output, header: Key, parse_float: ParseFloat
+) -> Pos:
+    pos, key, value = parse_key_value_pair(src, pos, parse_float)
+    key_parent, key_stem = key[:-1], key[-1]
+    abs_key_parent = header + key_parent
+
+    relative_path_cont_keys = (header + key[:i] for i in range(1, len(key)))
+    for cont_key in relative_path_cont_keys:
+        # Check that dotted key syntax does not redefine an existing table
+        if out.flags.is_(cont_key, Flags.EXPLICIT_NEST):
+            raise suffixed_err(src, pos, f"Cannot redefine namespace {cont_key}")
+        # Containers in the relative path can't be opened with the table syntax or
+        # dotted key/value syntax in following table sections.
+        out.flags.add_pending(cont_key, Flags.EXPLICIT_NEST)
+
+    if out.flags.is_(abs_key_parent, Flags.FROZEN):
+        raise suffixed_err(
+            src, pos, f"Cannot mutate immutable namespace {abs_key_parent}"
+        )
+
+    try:
+        nest = out.data.get_or_create_nest(abs_key_parent)
+    except KeyError:
+        raise suffixed_err(src, pos, "Cannot overwrite a value") from None
+    if key_stem in nest:
+        raise suffixed_err(src, pos, "Cannot overwrite a value")
+    # Mark inline table and array namespaces recursively immutable
+    if isinstance(value, (dict, list)):
+        out.flags.set(header + key, Flags.FROZEN, recursive=True)
+    nest[key_stem] = value
+    return pos
+
+
+def parse_key_value_pair(
+    src: str, pos: Pos, parse_float: ParseFloat
+) -> tuple[Pos, Key, Any]:
+    pos, key = parse_key(src, pos)
+    try:
+        char: str | None = src[pos]
+    except IndexError:
+        char = None
+    if char != "=":
+        raise suffixed_err(src, pos, "Expected '=' after a key in a key/value pair")
+    pos += 1
+    pos = skip_chars(src, pos, TOML_WS)
+    pos, value = parse_value(src, pos, parse_float)
+    return pos, key, value
+
+
+def parse_key(src: str, pos: Pos) -> tuple[Pos, Key]:
+    pos, key_part = parse_key_part(src, pos)
+    key: Key = (key_part,)
+    pos = skip_chars(src, pos, TOML_WS)
+    while True:
+        try:
+            char: str | None = src[pos]
+        except IndexError:
+            char = None
+        if char != ".":
+            return pos, key
+        pos += 1
+        pos = skip_chars(src, pos, TOML_WS)
+        pos, key_part = parse_key_part(src, pos)
+        key += (key_part,)
+        pos = skip_chars(src, pos, TOML_WS)
+
+
+def parse_key_part(src: str, pos: Pos) -> tuple[Pos, str]:
+    try:
+        char: str | None = src[pos]
+    except IndexError:
+        char = None
+    if char in BARE_KEY_CHARS:
+        start_pos = pos
+        pos = skip_chars(src, pos, BARE_KEY_CHARS)
+        return pos, src[start_pos:pos]
+    if char == "'":
+        return parse_literal_str(src, pos)
+    if char == '"':
+        return parse_one_line_basic_str(src, pos)
+    raise suffixed_err(src, pos, "Invalid initial character for a key part")
+
+
+def parse_one_line_basic_str(src: str, pos: Pos) -> tuple[Pos, str]:
+    pos += 1
+    return parse_basic_str(src, pos, multiline=False)
+
+
+def parse_array(src: str, pos: Pos, parse_float: ParseFloat) -> tuple[Pos, list]:
+    pos += 1
+    array: list = []
+
+    pos = skip_comments_and_array_ws(src, pos)
+    if src.startswith("]", pos):
+        return pos + 1, array
+    while True:
+        pos, val = parse_value(src, pos, parse_float)
+        array.append(val)
+        pos = skip_comments_and_array_ws(src, pos)
+
+        c = src[pos : pos + 1]
+        if c == "]":
+            return pos + 1, array
+        if c != ",":
+            raise suffixed_err(src, pos, "Unclosed array")
+        pos += 1
+
+        pos = skip_comments_and_array_ws(src, pos)
+        if src.startswith("]", pos):
+            return pos + 1, array
+
+
+def parse_inline_table(src: str, pos: Pos, parse_float: ParseFloat) -> tuple[Pos, dict]:
+    pos += 1
+    nested_dict = NestedDict()
+    flags = Flags()
+
+    pos = skip_chars(src, pos, TOML_WS)
+    if src.startswith("}", pos):
+        return pos + 1, nested_dict.dict
+    while True:
+        pos, key, value = parse_key_value_pair(src, pos, parse_float)
+        key_parent, key_stem = key[:-1], key[-1]
+        if flags.is_(key, Flags.FROZEN):
+            raise suffixed_err(src, pos, f"Cannot mutate immutable namespace {key}")
+        try:
+            nest = nested_dict.get_or_create_nest(key_parent, access_lists=False)
+        except KeyError:
+            raise suffixed_err(src, pos, "Cannot overwrite a value") from None
+        if key_stem in nest:
+            raise suffixed_err(src, pos, f"Duplicate inline table key {key_stem!r}")
+        nest[key_stem] = value
+        pos = skip_chars(src, pos, TOML_WS)
+        c = src[pos : pos + 1]
+        if c == "}":
+            return pos + 1, nested_dict.dict
+        if c != ",":
+            raise suffixed_err(src, pos, "Unclosed inline table")
+        if isinstance(value, (dict, list)):
+            flags.set(key, Flags.FROZEN, recursive=True)
+        pos += 1
+        pos = skip_chars(src, pos, TOML_WS)
+
+
+def parse_basic_str_escape(
+    src: str, pos: Pos, *, multiline: bool = False
+) -> tuple[Pos, str]:
+    escape_id = src[pos : pos + 2]
+    pos += 2
+    if multiline and escape_id in {"\\ ", "\\\t", "\\\n"}:
+        # Skip whitespace until next non-whitespace character or end of
+        # the doc. Error if non-whitespace is found before newline.
+        if escape_id != "\\\n":
+            pos = skip_chars(src, pos, TOML_WS)
+            try:
+                char = src[pos]
+            except IndexError:
+                return pos, ""
+            if char != "\n":
+                raise suffixed_err(src, pos, "Unescaped '\\' in a string")
+            pos += 1
+        pos = skip_chars(src, pos, TOML_WS_AND_NEWLINE)
+        return pos, ""
+    if escape_id == "\\u":
+        return parse_hex_char(src, pos, 4)
+    if escape_id == "\\U":
+        return parse_hex_char(src, pos, 8)
+    try:
+        return pos, BASIC_STR_ESCAPE_REPLACEMENTS[escape_id]
+    except KeyError:
+        raise suffixed_err(src, pos, "Unescaped '\\' in a string") from None
+
+
+def parse_basic_str_escape_multiline(src: str, pos: Pos) -> tuple[Pos, str]:
+    return parse_basic_str_escape(src, pos, multiline=True)
+
+
+def parse_hex_char(src: str, pos: Pos, hex_len: int) -> tuple[Pos, str]:
+    hex_str = src[pos : pos + hex_len]
+    if len(hex_str) != hex_len or not HEXDIGIT_CHARS.issuperset(hex_str):
+        raise suffixed_err(src, pos, "Invalid hex value")
+    pos += hex_len
+    hex_int = int(hex_str, 16)
+    if not is_unicode_scalar_value(hex_int):
+        raise suffixed_err(src, pos, "Escaped character is not a Unicode scalar value")
+    return pos, chr(hex_int)
+
+
+def parse_literal_str(src: str, pos: Pos) -> tuple[Pos, str]:
+    pos += 1  # Skip starting apostrophe
+    start_pos = pos
+    pos = skip_until(
+        src, pos, "'", error_on=ILLEGAL_LITERAL_STR_CHARS, error_on_eof=True
+    )
+    return pos + 1, src[start_pos:pos]  # Skip ending apostrophe
+
+
+def parse_multiline_str(src: str, pos: Pos, *, literal: bool) -> tuple[Pos, str]:
+    pos += 3
+    if src.startswith("\n", pos):
+        pos += 1
+
+    if literal:
+        delim = "'"
+        end_pos = skip_until(
+            src,
+            pos,
+            "'''",
+            error_on=ILLEGAL_MULTILINE_LITERAL_STR_CHARS,
+            error_on_eof=True,
+        )
+        result = src[pos:end_pos]
+        pos = end_pos + 3
+    else:
+        delim = '"'
+        pos, result = parse_basic_str(src, pos, multiline=True)
+
+    # Add at maximum two extra apostrophes/quotes if the end sequence
+    # is 4 or 5 chars long instead of just 3.
+    if not src.startswith(delim, pos):
+        return pos, result
+    pos += 1
+    if not src.startswith(delim, pos):
+        return pos, result + delim
+    pos += 1
+    return pos, result + (delim * 2)
+
+
+def parse_basic_str(src: str, pos: Pos, *, multiline: bool) -> tuple[Pos, str]:
+    if multiline:
+        error_on = ILLEGAL_MULTILINE_BASIC_STR_CHARS
+        parse_escapes = parse_basic_str_escape_multiline
+    else:
+        error_on = ILLEGAL_BASIC_STR_CHARS
+        parse_escapes = parse_basic_str_escape
+    result = ""
+    start_pos = pos
+    while True:
+        try:
+            char = src[pos]
+        except IndexError:
+            raise suffixed_err(src, pos, "Unterminated string") from None
+        if char == '"':
+            if not multiline:
+                return pos + 1, result + src[start_pos:pos]
+            if src.startswith('"""', pos):
+                return pos + 3, result + src[start_pos:pos]
+            pos += 1
+            continue
+        if char == "\\":
+            result += src[start_pos:pos]
+            pos, parsed_escape = parse_escapes(src, pos)
+            result += parsed_escape
+            start_pos = pos
+            continue
+        if char in error_on:
+            raise suffixed_err(src, pos, f"Illegal character {char!r}")
+        pos += 1
+
+
+def parse_value(  # noqa: C901
+    src: str, pos: Pos, parse_float: ParseFloat
+) -> tuple[Pos, Any]:
+    try:
+        char: str | None = src[pos]
+    except IndexError:
+        char = None
+
+    # IMPORTANT: order conditions based on speed of checking and likelihood
+
+    # Basic strings
+    if char == '"':
+        if src.startswith('"""', pos):
+            return parse_multiline_str(src, pos, literal=False)
+        return parse_one_line_basic_str(src, pos)
+
+    # Literal strings
+    if char == "'":
+        if src.startswith("'''", pos):
+            return parse_multiline_str(src, pos, literal=True)
+        return parse_literal_str(src, pos)
+
+    # Booleans
+    if char == "t":
+        if src.startswith("true", pos):
+            return pos + 4, True
+    if char == "f":
+        if src.startswith("false", pos):
+            return pos + 5, False
+
+    # Arrays
+    if char == "[":
+        return parse_array(src, pos, parse_float)
+
+    # Inline tables
+    if char == "{":
+        return parse_inline_table(src, pos, parse_float)
+
+    # Dates and times
+    datetime_match = RE_DATETIME.match(src, pos)
+    if datetime_match:
+        try:
+            datetime_obj = match_to_datetime(datetime_match)
+        except ValueError as e:
+            raise suffixed_err(src, pos, "Invalid date or datetime") from e
+        return datetime_match.end(), datetime_obj
+    localtime_match = RE_LOCALTIME.match(src, pos)
+    if localtime_match:
+        return localtime_match.end(), match_to_localtime(localtime_match)
+
+    # Integers and "normal" floats.
+    # The regex will greedily match any type starting with a decimal
+    # char, so needs to be located after handling of dates and times.
+    number_match = RE_NUMBER.match(src, pos)
+    if number_match:
+        return number_match.end(), match_to_number(number_match, parse_float)
+
+    # Special floats
+    first_three = src[pos : pos + 3]
+    if first_three in {"inf", "nan"}:
+        return pos + 3, parse_float(first_three)
+    first_four = src[pos : pos + 4]
+    if first_four in {"-inf", "+inf", "-nan", "+nan"}:
+        return pos + 4, parse_float(first_four)
+
+    raise suffixed_err(src, pos, "Invalid value")
+
+
+def suffixed_err(src: str, pos: Pos, msg: str) -> TOMLDecodeError:
+    """Return a `TOMLDecodeError` where error message is suffixed with
+    coordinates in source."""
+
+    def coord_repr(src: str, pos: Pos) -> str:
+        if pos >= len(src):
+            return "end of document"
+        line = src.count("\n", 0, pos) + 1
+        if line == 1:
+            column = pos + 1
+        else:
+            column = pos - src.rindex("\n", 0, pos)
+        return f"line {line}, column {column}"
+
+    return TOMLDecodeError(f"{msg} (at {coord_repr(src, pos)})")
+
+
+def is_unicode_scalar_value(codepoint: int) -> bool:
+    return (0 <= codepoint <= 55295) or (57344 <= codepoint <= 1114111)
+
+
+def make_safe_parse_float(parse_float: ParseFloat) -> ParseFloat:
+    """A decorator to make `parse_float` safe.
+
+    `parse_float` must not return dicts or lists, because these types
+    would be mixed with parsed TOML tables and arrays, thus confusing
+    the parser. The returned decorated callable raises `ValueError`
+    instead of returning illegal types.
+    """
+    # The default `float` callable never returns illegal types. Optimize it.
+    if parse_float is float:  # type: ignore[comparison-overlap]
+        return float
+
+    def safe_parse_float(float_str: str) -> Any:
+        float_value = parse_float(float_str)
+        if isinstance(float_value, (dict, list)):
+            raise ValueError("parse_float must not return dicts or lists")
+        return float_value
+
+    return safe_parse_float

falcon/lib/python3.10/site-packages/setuptools/_vendor/tomli/_re.py

@@ -0,0 +1,107 @@
+# SPDX-License-Identifier: MIT
+# SPDX-FileCopyrightText: 2021 Taneli Hukkinen
+# Licensed to PSF under a Contributor Agreement.
+
+from __future__ import annotations
+
+from datetime import date, datetime, time, timedelta, timezone, tzinfo
+from functools import lru_cache
+import re
+from typing import Any
+
+from ._types import ParseFloat
+
+# E.g.
+# - 00:32:00.999999
+# - 00:32:00
+_TIME_RE_STR = r"([01][0-9]|2[0-3]):([0-5][0-9]):([0-5][0-9])(?:\.([0-9]{1,6})[0-9]*)?"
+
+RE_NUMBER = re.compile(
+    r"""
+0
+(?:
+    x[0-9A-Fa-f](?:_?[0-9A-Fa-f])*   # hex
+    |
+    b[01](?:_?[01])*                 # bin
+    |
+    o[0-7](?:_?[0-7])*               # oct
+)
+|
+[+-]?(?:0|[1-9](?:_?[0-9])*)         # dec, integer part
+(?P<floatpart>
+    (?:\.[0-9](?:_?[0-9])*)?         # optional fractional part
+    (?:[eE][+-]?[0-9](?:_?[0-9])*)?  # optional exponent part
+)
+""",
+    flags=re.VERBOSE,
+)
+RE_LOCALTIME = re.compile(_TIME_RE_STR)
+RE_DATETIME = re.compile(
+    rf"""
+([0-9]{{4}})-(0[1-9]|1[0-2])-(0[1-9]|[12][0-9]|3[01])  # date, e.g. 1988-10-27
+(?:
+    [Tt ]
+    {_TIME_RE_STR}
+    (?:([Zz])|([+-])([01][0-9]|2[0-3]):([0-5][0-9]))?  # optional time offset
+)?
+""",
+    flags=re.VERBOSE,
+)
+
+
+def match_to_datetime(match: re.Match) -> datetime | date:
+    """Convert a `RE_DATETIME` match to `datetime.datetime` or `datetime.date`.
+
+    Raises ValueError if the match does not correspond to a valid date
+    or datetime.
+    """
+    (
+        year_str,
+        month_str,
+        day_str,
+        hour_str,
+        minute_str,
+        sec_str,
+        micros_str,
+        zulu_time,
+        offset_sign_str,
+        offset_hour_str,
+        offset_minute_str,
+    ) = match.groups()
+    year, month, day = int(year_str), int(month_str), int(day_str)
+    if hour_str is None:
+        return date(year, month, day)
+    hour, minute, sec = int(hour_str), int(minute_str), int(sec_str)
+    micros = int(micros_str.ljust(6, "0")) if micros_str else 0
+    if offset_sign_str:
+        tz: tzinfo | None = cached_tz(
+            offset_hour_str, offset_minute_str, offset_sign_str
+        )
+    elif zulu_time:
+        tz = timezone.utc
+    else:  # local date-time
+        tz = None
+    return datetime(year, month, day, hour, minute, sec, micros, tzinfo=tz)
+
+
+@lru_cache(maxsize=None)
+def cached_tz(hour_str: str, minute_str: str, sign_str: str) -> timezone:
+    sign = 1 if sign_str == "+" else -1
+    return timezone(
+        timedelta(
+            hours=sign * int(hour_str),
+            minutes=sign * int(minute_str),
+        )
+    )
+
+
+def match_to_localtime(match: re.Match) -> time:
+    hour_str, minute_str, sec_str, micros_str = match.groups()
+    micros = int(micros_str.ljust(6, "0")) if micros_str else 0
+    return time(int(hour_str), int(minute_str), int(sec_str), micros)
+
+
+def match_to_number(match: re.Match, parse_float: ParseFloat) -> Any:
+    if match.group("floatpart"):
+        return parse_float(match.group())
+    return int(match.group(), 0)