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ckpts/universal/global_step80/zero/24.mlp.dense_4h_to_h.weight/exp_avg.pt

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ckpts/universal/global_step80/zero/6.post_attention_layernorm.weight/exp_avg.pt

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ckpts/universal/global_step80/zero/6.post_attention_layernorm.weight/exp_avg_sq.pt

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ckpts/universal/global_step80/zero/6.post_attention_layernorm.weight/fp32.pt

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venv/lib/python3.10/site-packages/sympy/external/__init__.py

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+"""
+Unified place for determining if external dependencies are installed or not.
+
+You should import all external modules using the import_module() function.
+
+For example
+
+>>> from sympy.external import import_module
+>>> numpy = import_module('numpy')
+
+If the resulting library is not installed, or if the installed version
+is less than a given minimum version, the function will return None.
+Otherwise, it will return the library. See the docstring of
+import_module() for more information.
+
+"""
+
+from sympy.external.importtools import import_module
+
+__all__ = ['import_module']

venv/lib/python3.10/site-packages/sympy/external/gmpy.py

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+import os
+from typing import Tuple as tTuple, Type
+
+import mpmath.libmp as mlib
+
+from sympy.external import import_module
+
+__all__ = [
+    # GROUND_TYPES is either 'gmpy' or 'python' depending on which is used. If
+    # gmpy is installed then it will be used unless the environment variable
+    # SYMPY_GROUND_TYPES is set to something other than 'auto', 'gmpy', or
+    # 'gmpy2'.
+    'GROUND_TYPES',
+
+    # If HAS_GMPY is 0, no supported version of gmpy is available. Otherwise,
+    # HAS_GMPY will be 2 for gmpy2 if GROUND_TYPES is 'gmpy'. It used to be
+    # possible for HAS_GMPY to be 1 for gmpy but gmpy is no longer supported.
+    'HAS_GMPY',
+
+    # SYMPY_INTS is a tuple containing the base types for valid integer types.
+    # This is either (int,) or (int, type(mpz(0))) depending on GROUND_TYPES.
+    'SYMPY_INTS',
+
+    # MPQ is either gmpy.mpq or the Python equivalent from
+    # sympy.external.pythonmpq
+    'MPQ',
+
+    # MPZ is either gmpy.mpz or int.
+    'MPZ',
+
+    # Either the gmpy or the mpmath function
+    'factorial',
+
+    # isqrt from gmpy or mpmath
+    'sqrt',
+]
+
+
+#
+# SYMPY_GROUND_TYPES can be gmpy, gmpy2, python or auto
+#
+GROUND_TYPES = os.environ.get('SYMPY_GROUND_TYPES', 'auto').lower()
+
+
+#
+# Try to import gmpy2 by default. If gmpy or gmpy2 is specified in
+# SYMPY_GROUND_TYPES then warn if gmpy2 is not found. In all cases there is a
+# fallback based on pure Python int and PythonMPQ that should still work fine.
+#
+if GROUND_TYPES in ('auto', 'gmpy', 'gmpy2'):
+
+    # Actually import gmpy2
+    gmpy = import_module('gmpy2', min_module_version='2.0.0',
+                module_version_attr='version', module_version_attr_call_args=())
+
+    # Warn if user explicitly asked for gmpy but it isn't available.
+    if gmpy is None and GROUND_TYPES in ('gmpy', 'gmpy2'):
+        from warnings import warn
+        warn("gmpy library is not installed, switching to 'python' ground types")
+
+elif GROUND_TYPES == 'python':
+
+    # The user asked for Python so ignore gmpy2 module.
+    gmpy = None
+
+else:
+
+    # Invalid value for SYMPY_GROUND_TYPES. Ignore the gmpy2 module.
+    from warnings import warn
+    warn("SYMPY_GROUND_TYPES environment variable unrecognised. "
+         "Should be 'python', 'auto', 'gmpy', or 'gmpy2'")
+    gmpy = None
+
+
+#
+# At this point gmpy will be None if gmpy2 was not successfully imported or if
+# the environment variable SYMPY_GROUND_TYPES was set to 'python' (or some
+# unrecognised value). The two blocks below define the values exported by this
+# module in each case.
+#
+SYMPY_INTS: tTuple[Type, ...]
+
+if gmpy is not None:
+
+    HAS_GMPY = 2
+    GROUND_TYPES = 'gmpy'
+    SYMPY_INTS = (int, type(gmpy.mpz(0)))
+    MPZ = gmpy.mpz
+    MPQ = gmpy.mpq
+
+    factorial = gmpy.fac
+    sqrt = gmpy.isqrt
+
+else:
+    from .pythonmpq import PythonMPQ
+
+    HAS_GMPY = 0
+    GROUND_TYPES = 'python'
+    SYMPY_INTS = (int,)
+    MPZ = int
+    MPQ = PythonMPQ
+
+    factorial = lambda x: int(mlib.ifac(x))
+    sqrt = lambda x: int(mlib.isqrt(x))

venv/lib/python3.10/site-packages/sympy/external/importtools.py

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+"""Tools to assist importing optional external modules."""
+
+import sys
+import re
+
+# Override these in the module to change the default warning behavior.
+# For example, you might set both to False before running the tests so that
+# warnings are not printed to the console, or set both to True for debugging.
+
+WARN_NOT_INSTALLED = None  # Default is False
+WARN_OLD_VERSION = None  # Default is True
+
+
+def __sympy_debug():
+    # helper function from sympy/__init__.py
+    # We don't just import SYMPY_DEBUG from that file because we don't want to
+    # import all of SymPy just to use this module.
+    import os
+    debug_str = os.getenv('SYMPY_DEBUG', 'False')
+    if debug_str in ('True', 'False'):
+        return eval(debug_str)
+    else:
+        raise RuntimeError("unrecognized value for SYMPY_DEBUG: %s" %
+                           debug_str)
+
+if __sympy_debug():
+    WARN_OLD_VERSION = True
+    WARN_NOT_INSTALLED = True
+
+
+_component_re = re.compile(r'(\d+ | [a-z]+ | \.)', re.VERBOSE)
+
+def version_tuple(vstring):
+    # Parse a version string to a tuple e.g. '1.2' -> (1, 2)
+    # Simplified from distutils.version.LooseVersion which was deprecated in
+    # Python 3.10.
+    components = []
+    for x in _component_re.split(vstring):
+        if x and x != '.':
+            try:
+                x = int(x)
+            except ValueError:
+                pass
+            components.append(x)
+    return tuple(components)
+
+
+def import_module(module, min_module_version=None, min_python_version=None,
+        warn_not_installed=None, warn_old_version=None,
+        module_version_attr='__version__', module_version_attr_call_args=None,
+        import_kwargs={}, catch=()):
+    """
+    Import and return a module if it is installed.
+
+    If the module is not installed, it returns None.
+
+    A minimum version for the module can be given as the keyword argument
+    min_module_version.  This should be comparable against the module version.
+    By default, module.__version__ is used to get the module version.  To
+    override this, set the module_version_attr keyword argument.  If the
+    attribute of the module to get the version should be called (e.g.,
+    module.version()), then set module_version_attr_call_args to the args such
+    that module.module_version_attr(*module_version_attr_call_args) returns the
+    module's version.
+
+    If the module version is less than min_module_version using the Python <
+    comparison, None will be returned, even if the module is installed. You can
+    use this to keep from importing an incompatible older version of a module.
+
+    You can also specify a minimum Python version by using the
+    min_python_version keyword argument.  This should be comparable against
+    sys.version_info.
+
+    If the keyword argument warn_not_installed is set to True, the function will
+    emit a UserWarning when the module is not installed.
+
+    If the keyword argument warn_old_version is set to True, the function will
+    emit a UserWarning when the library is installed, but cannot be imported
+    because of the min_module_version or min_python_version options.
+
+    Note that because of the way warnings are handled, a warning will be
+    emitted for each module only once.  You can change the default warning
+    behavior by overriding the values of WARN_NOT_INSTALLED and WARN_OLD_VERSION
+    in sympy.external.importtools.  By default, WARN_NOT_INSTALLED is False and
+    WARN_OLD_VERSION is True.
+
+    This function uses __import__() to import the module.  To pass additional
+    options to __import__(), use the import_kwargs keyword argument.  For
+    example, to import a submodule A.B, you must pass a nonempty fromlist option
+    to __import__.  See the docstring of __import__().
+
+    This catches ImportError to determine if the module is not installed.  To
+    catch additional errors, pass them as a tuple to the catch keyword
+    argument.
+
+    Examples
+    ========
+
+    >>> from sympy.external import import_module
+
+    >>> numpy = import_module('numpy')
+
+    >>> numpy = import_module('numpy', min_python_version=(2, 7),
+    ... warn_old_version=False)
+
+    >>> numpy = import_module('numpy', min_module_version='1.5',
+    ... warn_old_version=False) # numpy.__version__ is a string
+
+    >>> # gmpy does not have __version__, but it does have gmpy.version()
+
+    >>> gmpy = import_module('gmpy', min_module_version='1.14',
+    ... module_version_attr='version', module_version_attr_call_args=(),
+    ... warn_old_version=False)
+
+    >>> # To import a submodule, you must pass a nonempty fromlist to
+    >>> # __import__().  The values do not matter.
+    >>> p3 = import_module('mpl_toolkits.mplot3d',
+    ... import_kwargs={'fromlist':['something']})
+
+    >>> # matplotlib.pyplot can raise RuntimeError when the display cannot be opened
+    >>> matplotlib = import_module('matplotlib',
+    ... import_kwargs={'fromlist':['pyplot']}, catch=(RuntimeError,))
+
+    """
+    # keyword argument overrides default, and global variable overrides
+    # keyword argument.
+    warn_old_version = (WARN_OLD_VERSION if WARN_OLD_VERSION is not None
+        else warn_old_version or True)
+    warn_not_installed = (WARN_NOT_INSTALLED if WARN_NOT_INSTALLED is not None
+        else warn_not_installed or False)
+
+    import warnings
+
+    # Check Python first so we don't waste time importing a module we can't use
+    if min_python_version:
+        if sys.version_info < min_python_version:
+            if warn_old_version:
+                warnings.warn("Python version is too old to use %s "
+                    "(%s or newer required)" % (
+                        module, '.'.join(map(str, min_python_version))),
+                    UserWarning, stacklevel=2)
+            return
+
+    try:
+        mod = __import__(module, **import_kwargs)
+
+        ## there's something funny about imports with matplotlib and py3k. doing
+        ##    from matplotlib import collections
+        ## gives python's stdlib collections module. explicitly re-importing
+        ## the module fixes this.
+        from_list = import_kwargs.get('fromlist', ())
+        for submod in from_list:
+            if submod == 'collections' and mod.__name__ == 'matplotlib':
+                __import__(module + '.' + submod)
+    except ImportError:
+        if warn_not_installed:
+            warnings.warn("%s module is not installed" % module, UserWarning,
+                    stacklevel=2)
+        return
+    except catch as e:
+        if warn_not_installed:
+            warnings.warn(
+                "%s module could not be used (%s)" % (module, repr(e)),
+                stacklevel=2)
+        return
+
+    if min_module_version:
+        modversion = getattr(mod, module_version_attr)
+        if module_version_attr_call_args is not None:
+            modversion = modversion(*module_version_attr_call_args)
+        if version_tuple(modversion) < version_tuple(min_module_version):
+            if warn_old_version:
+                # Attempt to create a pretty string version of the version
+                if isinstance(min_module_version, str):
+                    verstr = min_module_version
+                elif isinstance(min_module_version, (tuple, list)):
+                    verstr = '.'.join(map(str, min_module_version))
+                else:
+                    # Either don't know what this is.  Hopefully
+                    # it's something that has a nice str version, like an int.
+                    verstr = str(min_module_version)
+                warnings.warn("%s version is too old to use "
+                    "(%s or newer required)" % (module, verstr),
+                    UserWarning, stacklevel=2)
+            return
+
+    return mod

venv/lib/python3.10/site-packages/sympy/external/pythonmpq.py

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+"""
+PythonMPQ: Rational number type based on Python integers.
+
+This class is intended as a pure Python fallback for when gmpy2 is not
+installed. If gmpy2 is installed then its mpq type will be used instead. The
+mpq type is around 20x faster. We could just use the stdlib Fraction class
+here but that is slower:
+
+    from fractions import Fraction
+    from sympy.external.pythonmpq import PythonMPQ
+    nums = range(1000)
+    dens = range(5, 1005)
+    rats = [Fraction(n, d) for n, d in zip(nums, dens)]
+    sum(rats) # <--- 24 milliseconds
+    rats = [PythonMPQ(n, d) for n, d in zip(nums, dens)]
+    sum(rats) # <---  7 milliseconds
+
+Both mpq and Fraction have some awkward features like the behaviour of
+division with // and %:
+
+    >>> from fractions import Fraction
+    >>> Fraction(2, 3) % Fraction(1, 4)
+    1/6
+
+For the QQ domain we do not want this behaviour because there should be no
+remainder when dividing rational numbers. SymPy does not make use of this
+aspect of mpq when gmpy2 is installed. Since this class is a fallback for that
+case we do not bother implementing e.g. __mod__ so that we can be sure we
+are not using it when gmpy2 is installed either.
+"""
+
+
+import operator
+from math import gcd
+from decimal import Decimal
+from fractions import Fraction
+import sys
+from typing import Tuple as tTuple, Type
+
+
+# Used for __hash__
+_PyHASH_MODULUS = sys.hash_info.modulus
+_PyHASH_INF = sys.hash_info.inf
+
+
+class PythonMPQ:
+    """Rational number implementation that is intended to be compatible with
+    gmpy2's mpq.
+
+    Also slightly faster than fractions.Fraction.
+
+    PythonMPQ should be treated as immutable although no effort is made to
+    prevent mutation (since that might slow down calculations).
+    """
+    __slots__ = ('numerator', 'denominator')
+
+    def __new__(cls, numerator, denominator=None):
+        """Construct PythonMPQ with gcd computation and checks"""
+        if denominator is not None:
+            #
+            # PythonMPQ(n, d): require n and d to be int and d != 0
+            #
+            if isinstance(numerator, int) and isinstance(denominator, int):
+                # This is the slow part:
+                divisor = gcd(numerator, denominator)
+                numerator //= divisor
+                denominator //= divisor
+                return cls._new_check(numerator, denominator)
+        else:
+            #
+            # PythonMPQ(q)
+            #
+            # Here q can be PythonMPQ, int, Decimal, float, Fraction or str
+            #
+            if isinstance(numerator, int):
+                return cls._new(numerator, 1)
+            elif isinstance(numerator, PythonMPQ):
+                return cls._new(numerator.numerator, numerator.denominator)
+
+            # Let Fraction handle Decimal/float conversion and str parsing
+            if isinstance(numerator, (Decimal, float, str)):
+                numerator = Fraction(numerator)
+            if isinstance(numerator, Fraction):
+                return cls._new(numerator.numerator, numerator.denominator)
+        #
+        # Reject everything else. This is more strict than mpq which allows
+        # things like mpq(Fraction, Fraction) or mpq(Decimal, any). The mpq
+        # behaviour is somewhat inconsistent so we choose to accept only a
+        # more strict subset of what mpq allows.
+        #
+        raise TypeError("PythonMPQ() requires numeric or string argument")
+
+    @classmethod
+    def _new_check(cls, numerator, denominator):
+        """Construct PythonMPQ, check divide by zero and canonicalize signs"""
+        if not denominator:
+            raise ZeroDivisionError(f'Zero divisor {numerator}/{denominator}')
+        elif denominator < 0:
+            numerator = -numerator
+            denominator = -denominator
+        return cls._new(numerator, denominator)
+
+    @classmethod
+    def _new(cls, numerator, denominator):
+        """Construct PythonMPQ efficiently (no checks)"""
+        obj = super().__new__(cls)
+        obj.numerator = numerator
+        obj.denominator = denominator
+        return obj
+
+    def __int__(self):
+        """Convert to int (truncates towards zero)"""
+        p, q = self.numerator, self.denominator
+        if p < 0:
+            return -(-p//q)
+        return p//q
+
+    def __float__(self):
+        """Convert to float (approximately)"""
+        return self.numerator / self.denominator
+
+    def __bool__(self):
+        """True/False if nonzero/zero"""
+        return bool(self.numerator)
+
+    def __eq__(self, other):
+        """Compare equal with PythonMPQ, int, float, Decimal or Fraction"""
+        if isinstance(other, PythonMPQ):
+            return (self.numerator == other.numerator
+                and self.denominator == other.denominator)
+        elif isinstance(other, self._compatible_types):
+            return self.__eq__(PythonMPQ(other))
+        else:
+            return NotImplemented
+
+    def __hash__(self):
+        """hash - same as mpq/Fraction"""
+        try:
+            dinv = pow(self.denominator, -1, _PyHASH_MODULUS)
+        except ValueError:
+            hash_ = _PyHASH_INF
+        else:
+            hash_ = hash(hash(abs(self.numerator)) * dinv)
+        result = hash_ if self.numerator >= 0 else -hash_
+        return -2 if result == -1 else result
+
+    def __reduce__(self):
+        """Deconstruct for pickling"""
+        return type(self), (self.numerator, self.denominator)
+
+    def __str__(self):
+        """Convert to string"""
+        if self.denominator != 1:
+            return f"{self.numerator}/{self.denominator}"
+        else:
+            return f"{self.numerator}"
+
+    def __repr__(self):
+        """Convert to string"""
+        return f"MPQ({self.numerator},{self.denominator})"
+
+    def _cmp(self, other, op):
+        """Helper for lt/le/gt/ge"""
+        if not isinstance(other, self._compatible_types):
+            return NotImplemented
+        lhs = self.numerator * other.denominator
+        rhs = other.numerator * self.denominator
+        return op(lhs, rhs)
+
+    def __lt__(self, other):
+        """self < other"""
+        return self._cmp(other, operator.lt)
+
+    def __le__(self, other):
+        """self <= other"""
+        return self._cmp(other, operator.le)
+
+    def __gt__(self, other):
+        """self > other"""
+        return self._cmp(other, operator.gt)
+
+    def __ge__(self, other):
+        """self >= other"""
+        return self._cmp(other, operator.ge)
+
+    def __abs__(self):
+        """abs(q)"""
+        return self._new(abs(self.numerator), self.denominator)
+
+    def __pos__(self):
+        """+q"""
+        return self
+
+    def __neg__(self):
+        """-q"""
+        return self._new(-self.numerator, self.denominator)
+
+    def __add__(self, other):
+        """q1 + q2"""
+        if isinstance(other, PythonMPQ):
+            #
+            # This is much faster than the naive method used in the stdlib
+            # fractions module. Not sure where this method comes from
+            # though...
+            #
+            # Compare timings for something like:
+            #   nums = range(1000)
+            #   rats = [PythonMPQ(n, d) for n, d in zip(nums[:-5], nums[5:])]
+            #   sum(rats) # <-- time this
+            #
+            ap, aq = self.numerator, self.denominator
+            bp, bq = other.numerator, other.denominator
+            g = gcd(aq, bq)
+            if g == 1:
+                p = ap*bq + aq*bp
+                q = bq*aq
+            else:
+                q1, q2 = aq//g, bq//g
+                p, q = ap*q2 + bp*q1, q1*q2
+                g2 = gcd(p, g)
+                p, q = (p // g2), q * (g // g2)
+
+        elif isinstance(other, int):
+            p = self.numerator + self.denominator * other
+            q = self.denominator
+        else:
+            return NotImplemented
+
+        return self._new(p, q)
+
+    def __radd__(self, other):
+        """z1 + q2"""
+        if isinstance(other, int):
+            p = self.numerator + self.denominator * other
+            q = self.denominator
+            return self._new(p, q)
+        else:
+            return NotImplemented
+
+    def __sub__(self ,other):
+        """q1 - q2"""
+        if isinstance(other, PythonMPQ):
+            ap, aq = self.numerator, self.denominator
+            bp, bq = other.numerator, other.denominator
+            g = gcd(aq, bq)
+            if g == 1:
+                p = ap*bq - aq*bp
+                q = bq*aq
+            else:
+                q1, q2 = aq//g, bq//g
+                p, q = ap*q2 - bp*q1, q1*q2
+                g2 = gcd(p, g)
+                p, q = (p // g2), q * (g // g2)
+        elif isinstance(other, int):
+            p = self.numerator - self.denominator*other
+            q = self.denominator
+        else:
+            return NotImplemented
+
+        return self._new(p, q)
+
+    def __rsub__(self, other):
+        """z1 - q2"""
+        if isinstance(other, int):
+            p = self.denominator * other - self.numerator
+            q = self.denominator
+            return self._new(p, q)
+        else:
+            return NotImplemented
+
+    def __mul__(self, other):
+        """q1 * q2"""
+        if isinstance(other, PythonMPQ):
+            ap, aq = self.numerator, self.denominator
+            bp, bq = other.numerator, other.denominator
+            x1 = gcd(ap, bq)
+            x2 = gcd(bp, aq)
+            p, q = ((ap//x1)*(bp//x2), (aq//x2)*(bq//x1))
+        elif isinstance(other, int):
+            x = gcd(other, self.denominator)
+            p = self.numerator*(other//x)
+            q = self.denominator//x
+        else:
+            return NotImplemented
+
+        return self._new(p, q)
+
+    def __rmul__(self, other):
+        """z1 * q2"""
+        if isinstance(other, int):
+            x = gcd(self.denominator, other)
+            p = self.numerator*(other//x)
+            q = self.denominator//x
+            return self._new(p, q)
+        else:
+            return NotImplemented
+
+    def __pow__(self, exp):
+        """q ** z"""
+        p, q = self.numerator, self.denominator
+
+        if exp < 0:
+            p, q, exp = q, p, -exp
+
+        return self._new_check(p**exp, q**exp)
+
+    def __truediv__(self, other):
+        """q1 / q2"""
+        if isinstance(other, PythonMPQ):
+            ap, aq = self.numerator, self.denominator
+            bp, bq = other.numerator, other.denominator
+            x1 = gcd(ap, bp)
+            x2 = gcd(bq, aq)
+            p, q = ((ap//x1)*(bq//x2), (aq//x2)*(bp//x1))
+        elif isinstance(other, int):
+            x = gcd(other, self.numerator)
+            p = self.numerator//x
+            q = self.denominator*(other//x)
+        else:
+            return NotImplemented
+
+        return self._new_check(p, q)
+
+    def __rtruediv__(self, other):
+        """z / q"""
+        if isinstance(other, int):
+            x = gcd(self.numerator, other)
+            p = self.denominator*(other//x)
+            q = self.numerator//x
+            return self._new_check(p, q)
+        else:
+            return NotImplemented
+
+    _compatible_types: tTuple[Type, ...] = ()
+
+#
+# These are the types that PythonMPQ will interoperate with for operations
+# and comparisons such as ==, + etc. We define this down here so that we can
+# include PythonMPQ in the list as well.
+#
+PythonMPQ._compatible_types = (PythonMPQ, int, Decimal, Fraction)

venv/lib/python3.10/site-packages/sympy/external/tests/test_autowrap.py

@@ -0,0 +1,313 @@
+import sympy
+import tempfile
+import os
+from sympy.core.mod import Mod
+from sympy.core.relational import Eq
+from sympy.core.symbol import symbols
+from sympy.external import import_module
+from sympy.tensor import IndexedBase, Idx
+from sympy.utilities.autowrap import autowrap, ufuncify, CodeWrapError
+from sympy.testing.pytest import skip
+
+numpy = import_module('numpy', min_module_version='1.6.1')
+Cython = import_module('Cython', min_module_version='0.15.1')
+f2py = import_module('numpy.f2py', import_kwargs={'fromlist': ['f2py']})
+
+f2pyworks = False
+if f2py:
+    try:
+        autowrap(symbols('x'), 'f95', 'f2py')
+    except (CodeWrapError, ImportError, OSError):
+        f2pyworks = False
+    else:
+        f2pyworks = True
+
+a, b, c = symbols('a b c')
+n, m, d = symbols('n m d', integer=True)
+A, B, C = symbols('A B C', cls=IndexedBase)
+i = Idx('i', m)
+j = Idx('j', n)
+k = Idx('k', d)
+
+
+def has_module(module):
+    """
+    Return True if module exists, otherwise run skip().
+
+    module should be a string.
+    """
+    # To give a string of the module name to skip(), this function takes a
+    # string.  So we don't waste time running import_module() more than once,
+    # just map the three modules tested here in this dict.
+    modnames = {'numpy': numpy, 'Cython': Cython, 'f2py': f2py}
+
+    if modnames[module]:
+        if module == 'f2py' and not f2pyworks:
+            skip("Couldn't run f2py.")
+        return True
+    skip("Couldn't import %s." % module)
+
+#
+# test runners used by several language-backend combinations
+#
+
+def runtest_autowrap_twice(language, backend):
+    f = autowrap((((a + b)/c)**5).expand(), language, backend)
+    g = autowrap((((a + b)/c)**4).expand(), language, backend)
+
+    # check that autowrap updates the module name.  Else, g gives the same as f
+    assert f(1, -2, 1) == -1.0
+    assert g(1, -2, 1) == 1.0
+
+
+def runtest_autowrap_trace(language, backend):
+    has_module('numpy')
+    trace = autowrap(A[i, i], language, backend)
+    assert trace(numpy.eye(100)) == 100
+
+
+def runtest_autowrap_matrix_vector(language, backend):
+    has_module('numpy')
+    x, y = symbols('x y', cls=IndexedBase)
+    expr = Eq(y[i], A[i, j]*x[j])
+    mv = autowrap(expr, language, backend)
+
+    # compare with numpy's dot product
+    M = numpy.random.rand(10, 20)
+    x = numpy.random.rand(20)
+    y = numpy.dot(M, x)
+    assert numpy.sum(numpy.abs(y - mv(M, x))) < 1e-13
+
+
+def runtest_autowrap_matrix_matrix(language, backend):
+    has_module('numpy')
+    expr = Eq(C[i, j], A[i, k]*B[k, j])
+    matmat = autowrap(expr, language, backend)
+
+    # compare with numpy's dot product
+    M1 = numpy.random.rand(10, 20)
+    M2 = numpy.random.rand(20, 15)
+    M3 = numpy.dot(M1, M2)
+    assert numpy.sum(numpy.abs(M3 - matmat(M1, M2))) < 1e-13
+
+
+def runtest_ufuncify(language, backend):
+    has_module('numpy')
+    a, b, c = symbols('a b c')
+    fabc = ufuncify([a, b, c], a*b + c, backend=backend)
+    facb = ufuncify([a, c, b], a*b + c, backend=backend)
+    grid = numpy.linspace(-2, 2, 50)
+    b = numpy.linspace(-5, 4, 50)
+    c = numpy.linspace(-1, 1, 50)
+    expected = grid*b + c
+    numpy.testing.assert_allclose(fabc(grid, b, c), expected)
+    numpy.testing.assert_allclose(facb(grid, c, b), expected)
+
+
+def runtest_issue_10274(language, backend):
+    expr = (a - b + c)**(13)
+    tmp = tempfile.mkdtemp()
+    f = autowrap(expr, language, backend, tempdir=tmp,
+                 helpers=('helper', a - b + c, (a, b, c)))
+    assert f(1, 1, 1) == 1
+
+    for file in os.listdir(tmp):
+        if not (file.startswith("wrapped_code_") and file.endswith(".c")):
+            continue
+
+        with open(tmp + '/' + file) as fil:
+            lines = fil.readlines()
+            assert lines[0] == "/******************************************************************************\n"
+            assert "Code generated with SymPy " + sympy.__version__ in lines[1]
+            assert lines[2:] == [
+                " *                                                                            *\n",
+                " *              See http://www.sympy.org/ for more information.               *\n",
+                " *                                                                            *\n",
+                " *                      This file is part of 'autowrap'                       *\n",
+                " ******************************************************************************/\n",
+                "#include " + '"' + file[:-1]+ 'h"' + "\n",
+                "#include <math.h>\n",
+                "\n",
+                "double helper(double a, double b, double c) {\n",
+                "\n",
+                "   double helper_result;\n",
+                "   helper_result = a - b + c;\n",
+                "   return helper_result;\n",
+                "\n",
+                "}\n",
+                "\n",
+                "double autofunc(double a, double b, double c) {\n",
+                "\n",
+                "   double autofunc_result;\n",
+                "   autofunc_result = pow(helper(a, b, c), 13);\n",
+                "   return autofunc_result;\n",
+                "\n",
+                "}\n",
+                ]
+
+
+def runtest_issue_15337(language, backend):
+    has_module('numpy')
+    # NOTE : autowrap was originally designed to only accept an iterable for
+    # the kwarg "helpers", but in issue 10274 the user mistakenly thought that
+    # if there was only a single helper it did not need to be passed via an
+    # iterable that wrapped the helper tuple. There were no tests for this
+    # behavior so when the code was changed to accept a single tuple it broke
+    # the original behavior. These tests below ensure that both now work.
+    a, b, c, d, e = symbols('a, b, c, d, e')
+    expr = (a - b + c - d + e)**13
+    exp_res = (1. - 2. + 3. - 4. + 5.)**13
+
+    f = autowrap(expr, language, backend, args=(a, b, c, d, e),
+                 helpers=('f1', a - b + c, (a, b, c)))
+    numpy.testing.assert_allclose(f(1, 2, 3, 4, 5), exp_res)
+
+    f = autowrap(expr, language, backend, args=(a, b, c, d, e),
+                 helpers=(('f1', a - b, (a, b)), ('f2', c - d, (c, d))))
+    numpy.testing.assert_allclose(f(1, 2, 3, 4, 5), exp_res)
+
+
+def test_issue_15230():
+    has_module('f2py')
+
+    x, y = symbols('x, y')
+    expr = Mod(x, 3.0) - Mod(y, -2.0)
+    f = autowrap(expr, args=[x, y], language='F95')
+    exp_res = float(expr.xreplace({x: 3.5, y: 2.7}).evalf())
+    assert abs(f(3.5, 2.7) - exp_res) < 1e-14
+
+    x, y = symbols('x, y', integer=True)
+    expr = Mod(x, 3) - Mod(y, -2)
+    f = autowrap(expr, args=[x, y], language='F95')
+    assert f(3, 2) == expr.xreplace({x: 3, y: 2})
+
+#
+# tests of language-backend combinations
+#
+
+# f2py
+
+
+def test_wrap_twice_f95_f2py():
+    has_module('f2py')
+    runtest_autowrap_twice('f95', 'f2py')
+
+
+def test_autowrap_trace_f95_f2py():
+    has_module('f2py')
+    runtest_autowrap_trace('f95', 'f2py')
+
+
+def test_autowrap_matrix_vector_f95_f2py():
+    has_module('f2py')
+    runtest_autowrap_matrix_vector('f95', 'f2py')
+
+
+def test_autowrap_matrix_matrix_f95_f2py():
+    has_module('f2py')
+    runtest_autowrap_matrix_matrix('f95', 'f2py')
+
+
+def test_ufuncify_f95_f2py():
+    has_module('f2py')
+    runtest_ufuncify('f95', 'f2py')
+
+
+def test_issue_15337_f95_f2py():
+    has_module('f2py')
+    runtest_issue_15337('f95', 'f2py')
+
+# Cython
+
+
+def test_wrap_twice_c_cython():
+    has_module('Cython')
+    runtest_autowrap_twice('C', 'cython')
+
+
+def test_autowrap_trace_C_Cython():
+    has_module('Cython')
+    runtest_autowrap_trace('C99', 'cython')
+
+
+def test_autowrap_matrix_vector_C_cython():
+    has_module('Cython')
+    runtest_autowrap_matrix_vector('C99', 'cython')
+
+
+def test_autowrap_matrix_matrix_C_cython():
+    has_module('Cython')
+    runtest_autowrap_matrix_matrix('C99', 'cython')
+
+
+def test_ufuncify_C_Cython():
+    has_module('Cython')
+    runtest_ufuncify('C99', 'cython')
+
+
+def test_issue_10274_C_cython():
+    has_module('Cython')
+    runtest_issue_10274('C89', 'cython')
+
+
+def test_issue_15337_C_cython():
+    has_module('Cython')
+    runtest_issue_15337('C89', 'cython')
+
+
+def test_autowrap_custom_printer():
+    has_module('Cython')
+
+    from sympy.core.numbers import pi
+    from sympy.utilities.codegen import C99CodeGen
+    from sympy.printing.c import C99CodePrinter
+
+    class PiPrinter(C99CodePrinter):
+        def _print_Pi(self, expr):
+            return "S_PI"
+
+    printer = PiPrinter()
+    gen = C99CodeGen(printer=printer)
+    gen.preprocessor_statements.append('#include "shortpi.h"')
+
+    expr = pi * a
+
+    expected = (
+        '#include "%s"\n'
+        '#include <math.h>\n'
+        '#include "shortpi.h"\n'
+        '\n'
+        'double autofunc(double a) {\n'
+        '\n'
+        '   double autofunc_result;\n'
+        '   autofunc_result = S_PI*a;\n'
+        '   return autofunc_result;\n'
+        '\n'
+        '}\n'
+    )
+
+    tmpdir = tempfile.mkdtemp()
+    # write a trivial header file to use in the generated code
+    with open(os.path.join(tmpdir, 'shortpi.h'), 'w') as f:
+        f.write('#define S_PI 3.14')
+
+    func = autowrap(expr, backend='cython', tempdir=tmpdir, code_gen=gen)
+
+    assert func(4.2) == 3.14 * 4.2
+
+    # check that the generated code is correct
+    for filename in os.listdir(tmpdir):
+        if filename.startswith('wrapped_code') and filename.endswith('.c'):
+            with open(os.path.join(tmpdir, filename)) as f:
+                lines = f.readlines()
+                expected = expected % filename.replace('.c', '.h')
+                assert ''.join(lines[7:]) == expected
+
+
+# Numpy
+
+def test_ufuncify_numpy():
+    # This test doesn't use Cython, but if Cython works, then there is a valid
+    # C compiler, which is needed.
+    has_module('Cython')
+    runtest_ufuncify('C99', 'numpy')

venv/lib/python3.10/site-packages/sympy/external/tests/test_codegen.py

@@ -0,0 +1,379 @@
+# This tests the compilation and execution of the source code generated with
+# utilities.codegen. The compilation takes place in a temporary directory that
+# is removed after the test. By default the test directory is always removed,
+# but this behavior can be changed by setting the environment variable
+# SYMPY_TEST_CLEAN_TEMP to:
+#   export SYMPY_TEST_CLEAN_TEMP=always   : the default behavior.
+#   export SYMPY_TEST_CLEAN_TEMP=success  : only remove the directories of working tests.
+#   export SYMPY_TEST_CLEAN_TEMP=never    : never remove the directories with the test code.
+# When a directory is not removed, the necessary information is printed on
+# screen to find the files that belong to the (failed) tests. If a test does
+# not fail, py.test captures all the output and you will not see the directories
+# corresponding to the successful tests. Use the --nocapture option to see all
+# the output.
+
+# All tests below have a counterpart in utilities/test/test_codegen.py. In the
+# latter file, the resulting code is compared with predefined strings, without
+# compilation or execution.
+
+# All the generated Fortran code should conform with the Fortran 95 standard,
+# and all the generated C code should be ANSI C, which facilitates the
+# incorporation in various projects. The tests below assume that the binary cc
+# is somewhere in the path and that it can compile ANSI C code.
+
+from sympy.abc import x, y, z
+from sympy.external import import_module
+from sympy.testing.pytest import skip
+from sympy.utilities.codegen import codegen, make_routine, get_code_generator
+import sys
+import os
+import tempfile
+import subprocess
+
+
+pyodide_js = import_module('pyodide_js')
+
+# templates for the main program that will test the generated code.
+
+main_template = {}
+main_template['F95'] = """
+program main
+  include "codegen.h"
+  integer :: result;
+  result = 0
+
+  %(statements)s
+
+  call exit(result)
+end program
+"""
+
+main_template['C89'] = """
+#include "codegen.h"
+#include <stdio.h>
+#include <math.h>
+
+int main() {
+  int result = 0;
+
+  %(statements)s
+
+  return result;
+}
+"""
+main_template['C99'] = main_template['C89']
+# templates for the numerical tests
+
+numerical_test_template = {}
+numerical_test_template['C89'] = """
+  if (fabs(%(call)s)>%(threshold)s) {
+    printf("Numerical validation failed: %(call)s=%%e threshold=%(threshold)s\\n", %(call)s);
+    result = -1;
+  }
+"""
+numerical_test_template['C99'] = numerical_test_template['C89']
+
+numerical_test_template['F95'] = """
+  if (abs(%(call)s)>%(threshold)s) then
+    write(6,"('Numerical validation failed:')")
+    write(6,"('%(call)s=',e15.5,'threshold=',e15.5)") %(call)s, %(threshold)s
+    result = -1;
+  end if
+"""
+# command sequences for supported compilers
+
+compile_commands = {}
+compile_commands['cc'] = [
+    "cc -c codegen.c -o codegen.o",
+    "cc -c main.c -o main.o",
+    "cc main.o codegen.o -lm -o test.exe"
+]
+
+compile_commands['gfortran'] = [
+    "gfortran -c codegen.f90 -o codegen.o",
+    "gfortran -ffree-line-length-none -c main.f90 -o main.o",
+    "gfortran main.o codegen.o -o test.exe"
+]
+
+compile_commands['g95'] = [
+    "g95 -c codegen.f90 -o codegen.o",
+    "g95 -ffree-line-length-huge -c main.f90 -o main.o",
+    "g95 main.o codegen.o -o test.exe"
+]
+
+compile_commands['ifort'] = [
+    "ifort -c codegen.f90 -o codegen.o",
+    "ifort -c main.f90 -o main.o",
+    "ifort main.o codegen.o -o test.exe"
+]
+
+combinations_lang_compiler = [
+    ('C89', 'cc'),
+    ('C99', 'cc'),
+    ('F95', 'ifort'),
+    ('F95', 'gfortran'),
+    ('F95', 'g95')
+]
+
+
+def try_run(commands):
+    """Run a series of commands and only return True if all ran fine."""
+    if pyodide_js:
+        return False
+    with open(os.devnull, 'w') as null:
+        for command in commands:
+            retcode = subprocess.call(command, stdout=null, shell=True,
+                    stderr=subprocess.STDOUT)
+            if retcode != 0:
+                return False
+    return True
+
+
+def run_test(label, routines, numerical_tests, language, commands, friendly=True):
+    """A driver for the codegen tests.
+
+       This driver assumes that a compiler ifort is present in the PATH and that
+       ifort is (at least) a Fortran 90 compiler. The generated code is written in
+       a temporary directory, together with a main program that validates the
+       generated code. The test passes when the compilation and the validation
+       run correctly.
+    """
+
+    # Check input arguments before touching the file system
+    language = language.upper()
+    assert language in main_template
+    assert language in numerical_test_template
+
+    # Check that environment variable makes sense
+    clean = os.getenv('SYMPY_TEST_CLEAN_TEMP', 'always').lower()
+    if clean not in ('always', 'success', 'never'):
+        raise ValueError("SYMPY_TEST_CLEAN_TEMP must be one of the following: 'always', 'success' or 'never'.")
+
+    # Do all the magic to compile, run and validate the test code
+    # 1) prepare the temporary working directory, switch to that dir
+    work = tempfile.mkdtemp("_sympy_%s_test" % language, "%s_" % label)
+    oldwork = os.getcwd()
+    os.chdir(work)
+
+    # 2) write the generated code
+    if friendly:
+        # interpret the routines as a name_expr list and call the friendly
+        # function codegen
+        codegen(routines, language, "codegen", to_files=True)
+    else:
+        code_gen = get_code_generator(language, "codegen")
+        code_gen.write(routines, "codegen", to_files=True)
+
+    # 3) write a simple main program that links to the generated code, and that
+    #    includes the numerical tests
+    test_strings = []
+    for fn_name, args, expected, threshold in numerical_tests:
+        call_string = "%s(%s)-(%s)" % (
+            fn_name, ",".join(str(arg) for arg in args), expected)
+        if language == "F95":
+            call_string = fortranize_double_constants(call_string)
+            threshold = fortranize_double_constants(str(threshold))
+        test_strings.append(numerical_test_template[language] % {
+            "call": call_string,
+            "threshold": threshold,
+        })
+
+    if language == "F95":
+        f_name = "main.f90"
+    elif language.startswith("C"):
+        f_name = "main.c"
+    else:
+        raise NotImplementedError(
+            "FIXME: filename extension unknown for language: %s" % language)
+
+    with open(f_name, "w") as f:
+        f.write(
+            main_template[language] % {'statements': "".join(test_strings)})
+
+    # 4) Compile and link
+    compiled = try_run(commands)
+
+    # 5) Run if compiled
+    if compiled:
+        executed = try_run(["./test.exe"])
+    else:
+        executed = False
+
+    # 6) Clean up stuff
+    if clean == 'always' or (clean == 'success' and compiled and executed):
+        def safe_remove(filename):
+            if os.path.isfile(filename):
+                os.remove(filename)
+        safe_remove("codegen.f90")
+        safe_remove("codegen.c")
+        safe_remove("codegen.h")
+        safe_remove("codegen.o")
+        safe_remove("main.f90")
+        safe_remove("main.c")
+        safe_remove("main.o")
+        safe_remove("test.exe")
+        os.chdir(oldwork)
+        os.rmdir(work)
+    else:
+        print("TEST NOT REMOVED: %s" % work, file=sys.stderr)
+        os.chdir(oldwork)
+
+    # 7) Do the assertions in the end
+    assert compiled, "failed to compile %s code with:\n%s" % (
+        language, "\n".join(commands))
+    assert executed, "failed to execute %s code from:\n%s" % (
+        language, "\n".join(commands))
+
+
+def fortranize_double_constants(code_string):
+    """
+    Replaces every literal float with literal doubles
+    """
+    import re
+    pattern_exp = re.compile(r'\d+(\.)?\d*[eE]-?\d+')
+    pattern_float = re.compile(r'\d+\.\d*(?!\d*d)')
+
+    def subs_exp(matchobj):
+        return re.sub('[eE]', 'd', matchobj.group(0))
+
+    def subs_float(matchobj):
+        return "%sd0" % matchobj.group(0)
+
+    code_string = pattern_exp.sub(subs_exp, code_string)
+    code_string = pattern_float.sub(subs_float, code_string)
+
+    return code_string
+
+
+def is_feasible(language, commands):
+    # This test should always work, otherwise the compiler is not present.
+    routine = make_routine("test", x)
+    numerical_tests = [
+        ("test", ( 1.0,), 1.0, 1e-15),
+        ("test", (-1.0,), -1.0, 1e-15),
+    ]
+    try:
+        run_test("is_feasible", [routine], numerical_tests, language, commands,
+                 friendly=False)
+        return True
+    except AssertionError:
+        return False
+
+valid_lang_commands = []
+invalid_lang_compilers = []
+for lang, compiler in combinations_lang_compiler:
+    commands = compile_commands[compiler]
+    if is_feasible(lang, commands):
+        valid_lang_commands.append((lang, commands))
+    else:
+        invalid_lang_compilers.append((lang, compiler))
+
+# We test all language-compiler combinations, just to report what is skipped
+
+def test_C89_cc():
+    if ("C89", 'cc') in invalid_lang_compilers:
+        skip("`cc' command didn't work as expected (C89)")
+
+
+def test_C99_cc():
+    if ("C99", 'cc') in invalid_lang_compilers:
+        skip("`cc' command didn't work as expected (C99)")
+
+
+def test_F95_ifort():
+    if ("F95", 'ifort') in invalid_lang_compilers:
+        skip("`ifort' command didn't work as expected")
+
+
+def test_F95_gfortran():
+    if ("F95", 'gfortran') in invalid_lang_compilers:
+        skip("`gfortran' command didn't work as expected")
+
+
+def test_F95_g95():
+    if ("F95", 'g95') in invalid_lang_compilers:
+        skip("`g95' command didn't work as expected")
+
+# Here comes the actual tests
+
+
+def test_basic_codegen():
+    numerical_tests = [
+        ("test", (1.0, 6.0, 3.0), 21.0, 1e-15),
+        ("test", (-1.0, 2.0, -2.5), -2.5, 1e-15),
+    ]
+    name_expr = [("test", (x + y)*z)]
+    for lang, commands in valid_lang_commands:
+        run_test("basic_codegen", name_expr, numerical_tests, lang, commands)
+
+
+def test_intrinsic_math1_codegen():
+    # not included: log10
+    from sympy.core.evalf import N
+    from sympy.functions import ln
+    from sympy.functions.elementary.exponential import log
+    from sympy.functions.elementary.hyperbolic import (cosh, sinh, tanh)
+    from sympy.functions.elementary.integers import (ceiling, floor)
+    from sympy.functions.elementary.miscellaneous import sqrt
+    from sympy.functions.elementary.trigonometric import (acos, asin, atan, cos, sin, tan)
+    name_expr = [
+        ("test_fabs", abs(x)),
+        ("test_acos", acos(x)),
+        ("test_asin", asin(x)),
+        ("test_atan", atan(x)),
+        ("test_cos", cos(x)),
+        ("test_cosh", cosh(x)),
+        ("test_log", log(x)),
+        ("test_ln", ln(x)),
+        ("test_sin", sin(x)),
+        ("test_sinh", sinh(x)),
+        ("test_sqrt", sqrt(x)),
+        ("test_tan", tan(x)),
+        ("test_tanh", tanh(x)),
+    ]
+    numerical_tests = []
+    for name, expr in name_expr:
+        for xval in 0.2, 0.5, 0.8:
+            expected = N(expr.subs(x, xval))
+            numerical_tests.append((name, (xval,), expected, 1e-14))
+    for lang, commands in valid_lang_commands:
+        if lang.startswith("C"):
+            name_expr_C = [("test_floor", floor(x)), ("test_ceil", ceiling(x))]
+        else:
+            name_expr_C = []
+        run_test("intrinsic_math1", name_expr + name_expr_C,
+                 numerical_tests, lang, commands)
+
+
+def test_instrinsic_math2_codegen():
+    # not included: frexp, ldexp, modf, fmod
+    from sympy.core.evalf import N
+    from sympy.functions.elementary.trigonometric import atan2
+    name_expr = [
+        ("test_atan2", atan2(x, y)),
+        ("test_pow", x**y),
+    ]
+    numerical_tests = []
+    for name, expr in name_expr:
+        for xval, yval in (0.2, 1.3), (0.5, -0.2), (0.8, 0.8):
+            expected = N(expr.subs(x, xval).subs(y, yval))
+            numerical_tests.append((name, (xval, yval), expected, 1e-14))
+    for lang, commands in valid_lang_commands:
+        run_test("intrinsic_math2", name_expr, numerical_tests, lang, commands)
+
+
+def test_complicated_codegen():
+    from sympy.core.evalf import N
+    from sympy.functions.elementary.trigonometric import (cos, sin, tan)
+    name_expr = [
+        ("test1", ((sin(x) + cos(y) + tan(z))**7).expand()),
+        ("test2", cos(cos(cos(cos(cos(cos(cos(cos(x + y + z))))))))),
+    ]
+    numerical_tests = []
+    for name, expr in name_expr:
+        for xval, yval, zval in (0.2, 1.3, -0.3), (0.5, -0.2, 0.0), (0.8, 2.1, 0.8):
+            expected = N(expr.subs(x, xval).subs(y, yval).subs(z, zval))
+            numerical_tests.append((name, (xval, yval, zval), expected, 1e-12))
+    for lang, commands in valid_lang_commands:
+        run_test(
+            "complicated_codegen", name_expr, numerical_tests, lang, commands)

venv/lib/python3.10/site-packages/sympy/external/tests/test_importtools.py

@@ -0,0 +1,40 @@
+from sympy.external import import_module
+from sympy.testing.pytest import warns
+
+# fixes issue that arose in addressing issue 6533
+def test_no_stdlib_collections():
+    '''
+    make sure we get the right collections when it is not part of a
+    larger list
+    '''
+    import collections
+    matplotlib = import_module('matplotlib',
+        import_kwargs={'fromlist': ['cm', 'collections']},
+        min_module_version='1.1.0', catch=(RuntimeError,))
+    if matplotlib:
+        assert collections != matplotlib.collections
+
+def test_no_stdlib_collections2():
+    '''
+    make sure we get the right collections when it is not part of a
+    larger list
+    '''
+    import collections
+    matplotlib = import_module('matplotlib',
+        import_kwargs={'fromlist': ['collections']},
+        min_module_version='1.1.0', catch=(RuntimeError,))
+    if matplotlib:
+        assert collections != matplotlib.collections
+
+def test_no_stdlib_collections3():
+    '''make sure we get the right collections with no catch'''
+    import collections
+    matplotlib = import_module('matplotlib',
+        import_kwargs={'fromlist': ['cm', 'collections']},
+        min_module_version='1.1.0')
+    if matplotlib:
+        assert collections != matplotlib.collections
+
+def test_min_module_version_python3_basestring_error():
+    with warns(UserWarning):
+        import_module('mpmath', min_module_version='1000.0.1')

venv/lib/python3.10/site-packages/sympy/external/tests/test_numpy.py

@@ -0,0 +1,333 @@
+# This testfile tests SymPy <-> NumPy compatibility
+
+# Don't test any SymPy features here. Just pure interaction with NumPy.
+# Always write regular SymPy tests for anything, that can be tested in pure
+# Python (without numpy). Here we test everything, that a user may need when
+# using SymPy with NumPy
+from sympy.external.importtools import version_tuple
+from sympy.external import import_module
+
+numpy = import_module('numpy')
+if numpy:
+    array, matrix, ndarray = numpy.array, numpy.matrix, numpy.ndarray
+else:
+    #bin/test will not execute any tests now
+    disabled = True
+
+
+from sympy.core.numbers import (Float, Integer, Rational)
+from sympy.core.symbol import (Symbol, symbols)
+from sympy.functions.elementary.trigonometric import sin
+from sympy.matrices.dense import (Matrix, list2numpy, matrix2numpy, symarray)
+from sympy.utilities.lambdify import lambdify
+import sympy
+
+import mpmath
+from sympy.abc import x, y, z
+from sympy.utilities.decorator import conserve_mpmath_dps
+from sympy.utilities.exceptions import ignore_warnings
+from sympy.testing.pytest import raises
+
+
+# first, systematically check, that all operations are implemented and don't
+# raise an exception
+
+
+def test_systematic_basic():
+    def s(sympy_object, numpy_array):
+        _ = [sympy_object + numpy_array,
+        numpy_array + sympy_object,
+        sympy_object - numpy_array,
+        numpy_array - sympy_object,
+        sympy_object * numpy_array,
+        numpy_array * sympy_object,
+        sympy_object / numpy_array,
+        numpy_array / sympy_object,
+        sympy_object ** numpy_array,
+        numpy_array ** sympy_object]
+    x = Symbol("x")
+    y = Symbol("y")
+    sympy_objs = [
+        Rational(2, 3),
+        Float("1.3"),
+        x,
+        y,
+        pow(x, y)*y,
+        Integer(5),
+        Float(5.5),
+    ]
+    numpy_objs = [
+        array([1]),
+        array([3, 8, -1]),
+        array([x, x**2, Rational(5)]),
+        array([x/y*sin(y), 5, Rational(5)]),
+    ]
+    for x in sympy_objs:
+        for y in numpy_objs:
+            s(x, y)
+
+
+# now some random tests, that test particular problems and that also
+# check that the results of the operations are correct
+
+def test_basics():
+    one = Rational(1)
+    zero = Rational(0)
+    assert array(1) == array(one)
+    assert array([one]) == array([one])
+    assert array([x]) == array([x])
+    assert array(x) == array(Symbol("x"))
+    assert array(one + x) == array(1 + x)
+
+    X = array([one, zero, zero])
+    assert (X == array([one, zero, zero])).all()
+    assert (X == array([one, 0, 0])).all()
+
+
+def test_arrays():
+    one = Rational(1)
+    zero = Rational(0)
+    X = array([one, zero, zero])
+    Y = one*X
+    X = array([Symbol("a") + Rational(1, 2)])
+    Y = X + X
+    assert Y == array([1 + 2*Symbol("a")])
+    Y = Y + 1
+    assert Y == array([2 + 2*Symbol("a")])
+    Y = X - X
+    assert Y == array([0])
+
+
+def test_conversion1():
+    a = list2numpy([x**2, x])
+    #looks like an array?
+    assert isinstance(a, ndarray)
+    assert a[0] == x**2
+    assert a[1] == x
+    assert len(a) == 2
+    #yes, it's the array
+
+
+def test_conversion2():
+    a = 2*list2numpy([x**2, x])
+    b = list2numpy([2*x**2, 2*x])
+    assert (a == b).all()
+
+    one = Rational(1)
+    zero = Rational(0)
+    X = list2numpy([one, zero, zero])
+    Y = one*X
+    X = list2numpy([Symbol("a") + Rational(1, 2)])
+    Y = X + X
+    assert Y == array([1 + 2*Symbol("a")])
+    Y = Y + 1
+    assert Y == array([2 + 2*Symbol("a")])
+    Y = X - X
+    assert Y == array([0])
+
+
+def test_list2numpy():
+    assert (array([x**2, x]) == list2numpy([x**2, x])).all()
+
+
+def test_Matrix1():
+    m = Matrix([[x, x**2], [5, 2/x]])
+    assert (array(m.subs(x, 2)) == array([[2, 4], [5, 1]])).all()
+    m = Matrix([[sin(x), x**2], [5, 2/x]])
+    assert (array(m.subs(x, 2)) == array([[sin(2), 4], [5, 1]])).all()
+
+
+def test_Matrix2():
+    m = Matrix([[x, x**2], [5, 2/x]])
+    with ignore_warnings(PendingDeprecationWarning):
+        assert (matrix(m.subs(x, 2)) == matrix([[2, 4], [5, 1]])).all()
+    m = Matrix([[sin(x), x**2], [5, 2/x]])
+    with ignore_warnings(PendingDeprecationWarning):
+        assert (matrix(m.subs(x, 2)) == matrix([[sin(2), 4], [5, 1]])).all()
+
+
+def test_Matrix3():
+    a = array([[2, 4], [5, 1]])
+    assert Matrix(a) == Matrix([[2, 4], [5, 1]])
+    assert Matrix(a) != Matrix([[2, 4], [5, 2]])
+    a = array([[sin(2), 4], [5, 1]])
+    assert Matrix(a) == Matrix([[sin(2), 4], [5, 1]])
+    assert Matrix(a) != Matrix([[sin(0), 4], [5, 1]])
+
+
+def test_Matrix4():
+    with ignore_warnings(PendingDeprecationWarning):
+        a = matrix([[2, 4], [5, 1]])
+    assert Matrix(a) == Matrix([[2, 4], [5, 1]])
+    assert Matrix(a) != Matrix([[2, 4], [5, 2]])
+    with ignore_warnings(PendingDeprecationWarning):
+        a = matrix([[sin(2), 4], [5, 1]])
+    assert Matrix(a) == Matrix([[sin(2), 4], [5, 1]])
+    assert Matrix(a) != Matrix([[sin(0), 4], [5, 1]])
+
+
+def test_Matrix_sum():
+    M = Matrix([[1, 2, 3], [x, y, x], [2*y, -50, z*x]])
+    with ignore_warnings(PendingDeprecationWarning):
+        m = matrix([[2, 3, 4], [x, 5, 6], [x, y, z**2]])
+    assert M + m == Matrix([[3, 5, 7], [2*x, y + 5, x + 6], [2*y + x, y - 50, z*x + z**2]])
+    assert m + M == Matrix([[3, 5, 7], [2*x, y + 5, x + 6], [2*y + x, y - 50, z*x + z**2]])
+    assert M + m == M.add(m)
+
+
+def test_Matrix_mul():
+    M = Matrix([[1, 2, 3], [x, y, x]])
+    with ignore_warnings(PendingDeprecationWarning):
+        m = matrix([[2, 4], [x, 6], [x, z**2]])
+    assert M*m == Matrix([
+        [         2 + 5*x,        16 + 3*z**2],
+        [2*x + x*y + x**2, 4*x + 6*y + x*z**2],
+    ])
+
+    assert m*M == Matrix([
+        [   2 + 4*x,      4 + 4*y,      6 + 4*x],
+        [       7*x,    2*x + 6*y,          9*x],
+        [x + x*z**2, 2*x + y*z**2, 3*x + x*z**2],
+    ])
+    a = array([2])
+    assert a[0] * M == 2 * M
+    assert M * a[0] == 2 * M
+
+
+def test_Matrix_array():
+    class matarray:
+        def __array__(self):
+            from numpy import array
+            return array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
+    matarr = matarray()
+    assert Matrix(matarr) == Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
+
+
+def test_matrix2numpy():
+    a = matrix2numpy(Matrix([[1, x**2], [3*sin(x), 0]]))
+    assert isinstance(a, ndarray)
+    assert a.shape == (2, 2)
+    assert a[0, 0] == 1
+    assert a[0, 1] == x**2
+    assert a[1, 0] == 3*sin(x)
+    assert a[1, 1] == 0
+
+
+def test_matrix2numpy_conversion():
+    a = Matrix([[1, 2, sin(x)], [x**2, x, Rational(1, 2)]])
+    b = array([[1, 2, sin(x)], [x**2, x, Rational(1, 2)]])
+    assert (matrix2numpy(a) == b).all()
+    assert matrix2numpy(a).dtype == numpy.dtype('object')
+
+    c = matrix2numpy(Matrix([[1, 2], [10, 20]]), dtype='int8')
+    d = matrix2numpy(Matrix([[1, 2], [10, 20]]), dtype='float64')
+    assert c.dtype == numpy.dtype('int8')
+    assert d.dtype == numpy.dtype('float64')
+
+
+def test_issue_3728():
+    assert (Rational(1, 2)*array([2*x, 0]) == array([x, 0])).all()
+    assert (Rational(1, 2) + array(
+        [2*x, 0]) == array([2*x + Rational(1, 2), Rational(1, 2)])).all()
+    assert (Float("0.5")*array([2*x, 0]) == array([Float("1.0")*x, 0])).all()
+    assert (Float("0.5") + array(
+        [2*x, 0]) == array([2*x + Float("0.5"), Float("0.5")])).all()
+
+
+@conserve_mpmath_dps
+def test_lambdify():
+    mpmath.mp.dps = 16
+    sin02 = mpmath.mpf("0.198669330795061215459412627")
+    f = lambdify(x, sin(x), "numpy")
+    prec = 1e-15
+    assert -prec < f(0.2) - sin02 < prec
+
+    # if this succeeds, it can't be a numpy function
+
+    if version_tuple(numpy.__version__) >= version_tuple('1.17'):
+        with raises(TypeError):
+            f(x)
+    else:
+        with raises(AttributeError):
+            f(x)
+
+
+def test_lambdify_matrix():
+    f = lambdify(x, Matrix([[x, 2*x], [1, 2]]), [{'ImmutableMatrix': numpy.array}, "numpy"])
+    assert (f(1) == array([[1, 2], [1, 2]])).all()
+
+
+def test_lambdify_matrix_multi_input():
+    M = sympy.Matrix([[x**2, x*y, x*z],
+                      [y*x, y**2, y*z],
+                      [z*x, z*y, z**2]])
+    f = lambdify((x, y, z), M, [{'ImmutableMatrix': numpy.array}, "numpy"])
+
+    xh, yh, zh = 1.0, 2.0, 3.0
+    expected = array([[xh**2, xh*yh, xh*zh],
+                      [yh*xh, yh**2, yh*zh],
+                      [zh*xh, zh*yh, zh**2]])
+    actual = f(xh, yh, zh)
+    assert numpy.allclose(actual, expected)
+
+
+def test_lambdify_matrix_vec_input():
+    X = sympy.DeferredVector('X')
+    M = Matrix([
+        [X[0]**2, X[0]*X[1], X[0]*X[2]],
+        [X[1]*X[0], X[1]**2, X[1]*X[2]],
+        [X[2]*X[0], X[2]*X[1], X[2]**2]])
+    f = lambdify(X, M, [{'ImmutableMatrix': numpy.array}, "numpy"])
+
+    Xh = array([1.0, 2.0, 3.0])
+    expected = array([[Xh[0]**2, Xh[0]*Xh[1], Xh[0]*Xh[2]],
+                      [Xh[1]*Xh[0], Xh[1]**2, Xh[1]*Xh[2]],
+                      [Xh[2]*Xh[0], Xh[2]*Xh[1], Xh[2]**2]])
+    actual = f(Xh)
+    assert numpy.allclose(actual, expected)
+
+
+def test_lambdify_transl():
+    from sympy.utilities.lambdify import NUMPY_TRANSLATIONS
+    for sym, mat in NUMPY_TRANSLATIONS.items():
+        assert sym in sympy.__dict__
+        assert mat in numpy.__dict__
+
+
+def test_symarray():
+    """Test creation of numpy arrays of SymPy symbols."""
+
+    import numpy as np
+    import numpy.testing as npt
+
+    syms = symbols('_0,_1,_2')
+    s1 = symarray("", 3)
+    s2 = symarray("", 3)
+    npt.assert_array_equal(s1, np.array(syms, dtype=object))
+    assert s1[0] == s2[0]
+
+    a = symarray('a', 3)
+    b = symarray('b', 3)
+    assert not(a[0] == b[0])
+
+    asyms = symbols('a_0,a_1,a_2')
+    npt.assert_array_equal(a, np.array(asyms, dtype=object))
+
+    # Multidimensional checks
+    a2d = symarray('a', (2, 3))
+    assert a2d.shape == (2, 3)
+    a00, a12 = symbols('a_0_0,a_1_2')
+    assert a2d[0, 0] == a00
+    assert a2d[1, 2] == a12
+
+    a3d = symarray('a', (2, 3, 2))
+    assert a3d.shape == (2, 3, 2)
+    a000, a120, a121 = symbols('a_0_0_0,a_1_2_0,a_1_2_1')
+    assert a3d[0, 0, 0] == a000
+    assert a3d[1, 2, 0] == a120
+    assert a3d[1, 2, 1] == a121
+
+
+def test_vectorize():
+    assert (numpy.vectorize(
+        sin)([1, 2, 3]) == numpy.array([sin(1), sin(2), sin(3)])).all()

venv/lib/python3.10/site-packages/sympy/external/tests/test_pythonmpq.py

@@ -0,0 +1,176 @@
+"""
+test_pythonmpq.py
+
+Test the PythonMPQ class for consistency with gmpy2's mpq type. If gmpy2 is
+installed run the same tests for both.
+"""
+from fractions import Fraction
+from decimal import Decimal
+import pickle
+from typing import Callable, List, Tuple, Type
+
+from sympy.testing.pytest import raises
+
+from sympy.external.pythonmpq import PythonMPQ
+
+#
+# If gmpy2 is installed then run the tests for both mpq and PythonMPQ.
+# That should ensure consistency between the implementation here and mpq.
+#
+rational_types: List[Tuple[Callable, Type, Callable, Type]]
+rational_types = [(PythonMPQ, PythonMPQ, int, int)]
+try:
+    from gmpy2 import mpq, mpz
+    rational_types.append((mpq, type(mpq(1)), mpz, type(mpz(1))))
+except ImportError:
+    pass
+
+
+def test_PythonMPQ():
+    #
+    # Test PythonMPQ and also mpq if gmpy/gmpy2 is installed.
+    #
+    for Q, TQ, Z, TZ in rational_types:
+
+        def check_Q(q):
+            assert isinstance(q, TQ)
+            assert isinstance(q.numerator, TZ)
+            assert isinstance(q.denominator, TZ)
+            return q.numerator, q.denominator
+
+        # Check construction from different types
+        assert check_Q(Q(3)) == (3, 1)
+        assert check_Q(Q(3, 5)) == (3, 5)
+        assert check_Q(Q(Q(3, 5))) == (3, 5)
+        assert check_Q(Q(0.5)) == (1, 2)
+        assert check_Q(Q('0.5')) == (1, 2)
+        assert check_Q(Q(Fraction(3, 5))) == (3, 5)
+
+        # https://github.com/aleaxit/gmpy/issues/327
+        if Q is PythonMPQ:
+            assert check_Q(Q(Decimal('0.6'))) == (3, 5)
+
+        # Invalid types
+        raises(TypeError, lambda: Q([]))
+        raises(TypeError, lambda: Q([], []))
+
+        # Check normalisation of signs
+        assert check_Q(Q(2, 3)) == (2, 3)
+        assert check_Q(Q(-2, 3)) == (-2, 3)
+        assert check_Q(Q(2, -3)) == (-2, 3)
+        assert check_Q(Q(-2, -3)) == (2, 3)
+
+        # Check gcd calculation
+        assert check_Q(Q(12, 8)) == (3, 2)
+
+        # __int__/__float__
+        assert int(Q(5, 3)) == 1
+        assert int(Q(-5, 3)) == -1
+        assert float(Q(5, 2)) == 2.5
+        assert float(Q(-5, 2)) == -2.5
+
+        # __str__/__repr__
+        assert str(Q(2, 1)) == "2"
+        assert str(Q(1, 2)) == "1/2"
+        if Q is PythonMPQ:
+            assert repr(Q(2, 1)) == "MPQ(2,1)"
+            assert repr(Q(1, 2)) == "MPQ(1,2)"
+        else:
+            assert repr(Q(2, 1)) == "mpq(2,1)"
+            assert repr(Q(1, 2)) == "mpq(1,2)"
+
+        # __bool__
+        assert bool(Q(1, 2)) is True
+        assert bool(Q(0)) is False
+
+        # __eq__/__ne__
+        assert (Q(2, 3) == Q(2, 3)) is True
+        assert (Q(2, 3) == Q(2, 5)) is False
+        assert (Q(2, 3) != Q(2, 3)) is False
+        assert (Q(2, 3) != Q(2, 5)) is True
+
+        # __hash__
+        assert hash(Q(3, 5)) == hash(Fraction(3, 5))
+
+        # __reduce__
+        q = Q(2, 3)
+        assert pickle.loads(pickle.dumps(q)) == q
+
+        # __ge__/__gt__/__le__/__lt__
+        assert (Q(1, 3) < Q(2, 3)) is True
+        assert (Q(2, 3) < Q(2, 3)) is False
+        assert (Q(2, 3) < Q(1, 3)) is False
+        assert (Q(-2, 3) < Q(1, 3)) is True
+        assert (Q(1, 3) < Q(-2, 3)) is False
+
+        assert (Q(1, 3) <= Q(2, 3)) is True
+        assert (Q(2, 3) <= Q(2, 3)) is True
+        assert (Q(2, 3) <= Q(1, 3)) is False
+        assert (Q(-2, 3) <= Q(1, 3)) is True
+        assert (Q(1, 3) <= Q(-2, 3)) is False
+
+        assert (Q(1, 3) > Q(2, 3)) is False
+        assert (Q(2, 3) > Q(2, 3)) is False
+        assert (Q(2, 3) > Q(1, 3)) is True
+        assert (Q(-2, 3) > Q(1, 3)) is False
+        assert (Q(1, 3) > Q(-2, 3)) is True
+
+        assert (Q(1, 3) >= Q(2, 3)) is False
+        assert (Q(2, 3) >= Q(2, 3)) is True
+        assert (Q(2, 3) >= Q(1, 3)) is True
+        assert (Q(-2, 3) >= Q(1, 3)) is False
+        assert (Q(1, 3) >= Q(-2, 3)) is True
+
+        # __abs__/__pos__/__neg__
+        assert abs(Q(2, 3)) == abs(Q(-2, 3)) == Q(2, 3)
+        assert +Q(2, 3) == Q(2, 3)
+        assert -Q(2, 3) == Q(-2, 3)
+
+        # __add__/__radd__
+        assert Q(2, 3) + Q(5, 7) == Q(29, 21)
+        assert Q(2, 3) + 1 == Q(5, 3)
+        assert 1 + Q(2, 3) == Q(5, 3)
+        raises(TypeError, lambda: [] + Q(1))
+        raises(TypeError, lambda: Q(1) + [])
+
+        # __sub__/__rsub__
+        assert Q(2, 3) - Q(5, 7) == Q(-1, 21)
+        assert Q(2, 3) - 1 == Q(-1, 3)
+        assert 1 - Q(2, 3) == Q(1, 3)
+        raises(TypeError, lambda: [] - Q(1))
+        raises(TypeError, lambda: Q(1) - [])
+
+        # __mul__/__rmul__
+        assert Q(2, 3) * Q(5, 7) == Q(10, 21)
+        assert Q(2, 3) * 1 == Q(2, 3)
+        assert 1 * Q(2, 3) == Q(2, 3)
+        raises(TypeError, lambda: [] * Q(1))
+        raises(TypeError, lambda: Q(1) * [])
+
+        # __pow__/__rpow__
+        assert Q(2, 3) ** 2 == Q(4, 9)
+        assert Q(2, 3) ** 1 == Q(2, 3)
+        assert Q(-2, 3) ** 2 == Q(4, 9)
+        assert Q(-2, 3) ** -1 == Q(-3, 2)
+        if Q is PythonMPQ:
+            raises(TypeError, lambda: 1 ** Q(2, 3))
+            raises(TypeError, lambda: Q(1, 4) ** Q(1, 2))
+        raises(TypeError, lambda: [] ** Q(1))
+        raises(TypeError, lambda: Q(1) ** [])
+
+        # __div__/__rdiv__
+        assert Q(2, 3) / Q(5, 7) == Q(14, 15)
+        assert Q(2, 3) / 1 == Q(2, 3)
+        assert 1 / Q(2, 3) == Q(3, 2)
+        raises(TypeError, lambda: [] / Q(1))
+        raises(TypeError, lambda: Q(1) / [])
+        raises(ZeroDivisionError, lambda: Q(1, 2) / Q(0))
+
+        # __divmod__
+        if Q is PythonMPQ:
+            raises(TypeError, lambda: Q(2, 3) // Q(1, 3))
+            raises(TypeError, lambda: Q(2, 3) % Q(1, 3))
+            raises(TypeError, lambda: 1 // Q(1, 3))
+            raises(TypeError, lambda: 1 % Q(1, 3))
+            raises(TypeError, lambda: Q(2, 3) // 1)
+            raises(TypeError, lambda: Q(2, 3) % 1)

venv/lib/python3.10/site-packages/sympy/external/tests/test_scipy.py

@@ -0,0 +1,35 @@
+# This testfile tests SymPy <-> SciPy compatibility
+
+# Don't test any SymPy features here. Just pure interaction with SciPy.
+# Always write regular SymPy tests for anything, that can be tested in pure
+# Python (without scipy). Here we test everything, that a user may need when
+# using SymPy with SciPy
+
+from sympy.external import import_module
+
+scipy = import_module('scipy')
+if not scipy:
+    #bin/test will not execute any tests now
+    disabled = True
+
+from sympy.functions.special.bessel import jn_zeros
+
+
+def eq(a, b, tol=1e-6):
+    for x, y in zip(a, b):
+        if not (abs(x - y) < tol):
+            return False
+    return True
+
+
+def test_jn_zeros():
+    assert eq(jn_zeros(0, 4, method="scipy"),
+            [3.141592, 6.283185, 9.424777, 12.566370])
+    assert eq(jn_zeros(1, 4, method="scipy"),
+            [4.493409, 7.725251, 10.904121, 14.066193])
+    assert eq(jn_zeros(2, 4, method="scipy"),
+            [5.763459, 9.095011, 12.322940, 15.514603])
+    assert eq(jn_zeros(3, 4, method="scipy"),
+            [6.987932, 10.417118, 13.698023, 16.923621])
+    assert eq(jn_zeros(4, 4, method="scipy"),
+            [8.182561, 11.704907, 15.039664, 18.301255])

venv/lib/python3.10/site-packages/sympy/logic/__init__.py

@@ -0,0 +1,12 @@
+from .boolalg import (to_cnf, to_dnf, to_nnf, And, Or, Not, Xor, Nand, Nor, Implies,
+    Equivalent, ITE, POSform, SOPform, simplify_logic, bool_map, true, false,
+    gateinputcount)
+from .inference import satisfiable
+
+__all__ = [
+    'to_cnf', 'to_dnf', 'to_nnf', 'And', 'Or', 'Not', 'Xor', 'Nand', 'Nor',
+    'Implies', 'Equivalent', 'ITE', 'POSform', 'SOPform', 'simplify_logic',
+    'bool_map', 'true', 'false', 'gateinputcount',
+
+    'satisfiable',
+]

venv/lib/python3.10/site-packages/sympy/logic/inference.py

@@ -0,0 +1,329 @@
+"""Inference in propositional logic"""
+
+from sympy.logic.boolalg import And, Not, conjuncts, to_cnf, BooleanFunction
+from sympy.core.sorting import ordered
+from sympy.core.sympify import sympify
+from sympy.external.importtools import import_module
+
+
+def literal_symbol(literal):
+    """
+    The symbol in this literal (without the negation).
+
+    Examples
+    ========
+
+    >>> from sympy.abc import A
+    >>> from sympy.logic.inference import literal_symbol
+    >>> literal_symbol(A)
+    A
+    >>> literal_symbol(~A)
+    A
+
+    """
+
+    if literal is True or literal is False:
+        return literal
+    try:
+        if literal.is_Symbol:
+            return literal
+        if literal.is_Not:
+            return literal_symbol(literal.args[0])
+        else:
+            raise ValueError
+    except (AttributeError, ValueError):
+        raise ValueError("Argument must be a boolean literal.")
+
+
+def satisfiable(expr, algorithm=None, all_models=False, minimal=False):
+    """
+    Check satisfiability of a propositional sentence.
+    Returns a model when it succeeds.
+    Returns {true: true} for trivially true expressions.
+
+    On setting all_models to True, if given expr is satisfiable then
+    returns a generator of models. However, if expr is unsatisfiable
+    then returns a generator containing the single element False.
+
+    Examples
+    ========
+
+    >>> from sympy.abc import A, B
+    >>> from sympy.logic.inference import satisfiable
+    >>> satisfiable(A & ~B)
+    {A: True, B: False}
+    >>> satisfiable(A & ~A)
+    False
+    >>> satisfiable(True)
+    {True: True}
+    >>> next(satisfiable(A & ~A, all_models=True))
+    False
+    >>> models = satisfiable((A >> B) & B, all_models=True)
+    >>> next(models)
+    {A: False, B: True}
+    >>> next(models)
+    {A: True, B: True}
+    >>> def use_models(models):
+    ...     for model in models:
+    ...         if model:
+    ...             # Do something with the model.
+    ...             print(model)
+    ...         else:
+    ...             # Given expr is unsatisfiable.
+    ...             print("UNSAT")
+    >>> use_models(satisfiable(A >> ~A, all_models=True))
+    {A: False}
+    >>> use_models(satisfiable(A ^ A, all_models=True))
+    UNSAT
+
+    """
+    if algorithm is None or algorithm == "pycosat":
+        pycosat = import_module('pycosat')
+        if pycosat is not None:
+            algorithm = "pycosat"
+        else:
+            if algorithm == "pycosat":
+                raise ImportError("pycosat module is not present")
+            # Silently fall back to dpll2 if pycosat
+            # is not installed
+            algorithm = "dpll2"
+
+    if algorithm=="minisat22":
+        pysat = import_module('pysat')
+        if pysat is None:
+            algorithm = "dpll2"
+
+    if algorithm == "dpll":
+        from sympy.logic.algorithms.dpll import dpll_satisfiable
+        return dpll_satisfiable(expr)
+    elif algorithm == "dpll2":
+        from sympy.logic.algorithms.dpll2 import dpll_satisfiable
+        return dpll_satisfiable(expr, all_models)
+    elif algorithm == "pycosat":
+        from sympy.logic.algorithms.pycosat_wrapper import pycosat_satisfiable
+        return pycosat_satisfiable(expr, all_models)
+    elif algorithm == "minisat22":
+        from sympy.logic.algorithms.minisat22_wrapper import minisat22_satisfiable
+        return minisat22_satisfiable(expr, all_models, minimal)
+    raise NotImplementedError
+
+
+def valid(expr):
+    """
+    Check validity of a propositional sentence.
+    A valid propositional sentence is True under every assignment.
+
+    Examples
+    ========
+
+    >>> from sympy.abc import A, B
+    >>> from sympy.logic.inference import valid
+    >>> valid(A | ~A)
+    True
+    >>> valid(A | B)
+    False
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/Validity
+
+    """
+    return not satisfiable(Not(expr))
+
+
+def pl_true(expr, model=None, deep=False):
+    """
+    Returns whether the given assignment is a model or not.
+
+    If the assignment does not specify the value for every proposition,
+    this may return None to indicate 'not obvious'.
+
+    Parameters
+    ==========
+
+    model : dict, optional, default: {}
+        Mapping of symbols to boolean values to indicate assignment.
+    deep: boolean, optional, default: False
+        Gives the value of the expression under partial assignments
+        correctly. May still return None to indicate 'not obvious'.
+
+
+    Examples
+    ========
+
+    >>> from sympy.abc import A, B
+    >>> from sympy.logic.inference import pl_true
+    >>> pl_true( A & B, {A: True, B: True})
+    True
+    >>> pl_true(A & B, {A: False})
+    False
+    >>> pl_true(A & B, {A: True})
+    >>> pl_true(A & B, {A: True}, deep=True)
+    >>> pl_true(A >> (B >> A))
+    >>> pl_true(A >> (B >> A), deep=True)
+    True
+    >>> pl_true(A & ~A)
+    >>> pl_true(A & ~A, deep=True)
+    False
+    >>> pl_true(A & B & (~A | ~B), {A: True})
+    >>> pl_true(A & B & (~A | ~B), {A: True}, deep=True)
+    False
+
+    """
+
+    from sympy.core.symbol import Symbol
+
+    boolean = (True, False)
+
+    def _validate(expr):
+        if isinstance(expr, Symbol) or expr in boolean:
+            return True
+        if not isinstance(expr, BooleanFunction):
+            return False
+        return all(_validate(arg) for arg in expr.args)
+
+    if expr in boolean:
+        return expr
+    expr = sympify(expr)
+    if not _validate(expr):
+        raise ValueError("%s is not a valid boolean expression" % expr)
+    if not model:
+        model = {}
+    model = {k: v for k, v in model.items() if v in boolean}
+    result = expr.subs(model)
+    if result in boolean:
+        return bool(result)
+    if deep:
+        model = {k: True for k in result.atoms()}
+        if pl_true(result, model):
+            if valid(result):
+                return True
+        else:
+            if not satisfiable(result):
+                return False
+    return None
+
+
+def entails(expr, formula_set=None):
+    """
+    Check whether the given expr_set entail an expr.
+    If formula_set is empty then it returns the validity of expr.
+
+    Examples
+    ========
+
+    >>> from sympy.abc import A, B, C
+    >>> from sympy.logic.inference import entails
+    >>> entails(A, [A >> B, B >> C])
+    False
+    >>> entails(C, [A >> B, B >> C, A])
+    True
+    >>> entails(A >> B)
+    False
+    >>> entails(A >> (B >> A))
+    True
+
+    References
+    ==========
+
+    .. [1] https://en.wikipedia.org/wiki/Logical_consequence
+
+    """
+    if formula_set:
+        formula_set = list(formula_set)
+    else:
+        formula_set = []
+    formula_set.append(Not(expr))
+    return not satisfiable(And(*formula_set))
+
+
+class KB:
+    """Base class for all knowledge bases"""
+    def __init__(self, sentence=None):
+        self.clauses_ = set()
+        if sentence:
+            self.tell(sentence)
+
+    def tell(self, sentence):
+        raise NotImplementedError
+
+    def ask(self, query):
+        raise NotImplementedError
+
+    def retract(self, sentence):
+        raise NotImplementedError
+
+    @property
+    def clauses(self):
+        return list(ordered(self.clauses_))
+
+
+class PropKB(KB):
+    """A KB for Propositional Logic.  Inefficient, with no indexing."""
+
+    def tell(self, sentence):
+        """Add the sentence's clauses to the KB
+
+        Examples
+        ========
+
+        >>> from sympy.logic.inference import PropKB
+        >>> from sympy.abc import x, y
+        >>> l = PropKB()
+        >>> l.clauses
+        []
+
+        >>> l.tell(x | y)
+        >>> l.clauses
+        [x | y]
+
+        >>> l.tell(y)
+        >>> l.clauses
+        [y, x | y]
+
+        """
+        for c in conjuncts(to_cnf(sentence)):
+            self.clauses_.add(c)
+
+    def ask(self, query):
+        """Checks if the query is true given the set of clauses.
+
+        Examples
+        ========
+
+        >>> from sympy.logic.inference import PropKB
+        >>> from sympy.abc import x, y
+        >>> l = PropKB()
+        >>> l.tell(x & ~y)
+        >>> l.ask(x)
+        True
+        >>> l.ask(y)
+        False
+
+        """
+        return entails(query, self.clauses_)
+
+    def retract(self, sentence):
+        """Remove the sentence's clauses from the KB
+
+        Examples
+        ========
+
+        >>> from sympy.logic.inference import PropKB
+        >>> from sympy.abc import x, y
+        >>> l = PropKB()
+        >>> l.clauses
+        []
+
+        >>> l.tell(x | y)
+        >>> l.clauses
+        [x | y]
+
+        >>> l.retract(x | y)
+        >>> l.clauses
+        []
+
+        """
+        for c in conjuncts(to_cnf(sentence)):
+            self.clauses_.discard(c)

venv/lib/python3.10/site-packages/sympy/logic/utilities/dimacs.py

@@ -0,0 +1,70 @@
+"""For reading in DIMACS file format
+
+www.cs.ubc.ca/~hoos/SATLIB/Benchmarks/SAT/satformat.ps
+
+"""
+
+from sympy.core import Symbol
+from sympy.logic.boolalg import And, Or
+import re
+
+
+def load(s):
+    """Loads a boolean expression from a string.
+
+    Examples
+    ========
+
+    >>> from sympy.logic.utilities.dimacs import load
+    >>> load('1')
+    cnf_1
+    >>> load('1 2')
+    cnf_1 | cnf_2
+    >>> load('1 \\n 2')
+    cnf_1 & cnf_2
+    >>> load('1 2 \\n 3')
+    cnf_3 & (cnf_1 | cnf_2)
+    """
+    clauses = []
+
+    lines = s.split('\n')
+
+    pComment = re.compile(r'c.*')
+    pStats = re.compile(r'p\s*cnf\s*(\d*)\s*(\d*)')
+
+    while len(lines) > 0:
+        line = lines.pop(0)
+
+        # Only deal with lines that aren't comments
+        if not pComment.match(line):
+            m = pStats.match(line)
+
+            if not m:
+                nums = line.rstrip('\n').split(' ')
+                list = []
+                for lit in nums:
+                    if lit != '':
+                        if int(lit) == 0:
+                            continue
+                        num = abs(int(lit))
+                        sign = True
+                        if int(lit) < 0:
+                            sign = False
+
+                        if sign:
+                            list.append(Symbol("cnf_%s" % num))
+                        else:
+                            list.append(~Symbol("cnf_%s" % num))
+
+                if len(list) > 0:
+                    clauses.append(Or(*list))
+
+    return And(*clauses)
+
+
+def load_file(location):
+    """Loads a boolean expression from a file."""
+    with open(location) as f:
+        s = f.read()
+
+    return load(s)