Upload backend/venv/lib/python3.10/site-packages/isympy.py with huggingface_hub

backend/venv/lib/python3.10/site-packages/isympy.py

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+"""
+Python shell for SymPy.
+
+This is just a normal Python shell (IPython shell if you have the
+IPython package installed), that executes the following commands for
+the user:
+
+    >>> from __future__ import division
+    >>> from sympy import *
+    >>> x, y, z, t = symbols('x y z t')
+    >>> k, m, n = symbols('k m n', integer=True)
+    >>> f, g, h = symbols('f g h', cls=Function)
+    >>> init_printing()
+
+So starting 'isympy' is equivalent to starting Python (or IPython) and
+executing the above commands by hand.  It is intended for easy and quick
+experimentation with SymPy.  isympy is a good way to use SymPy as an
+interactive calculator. If you have IPython and Matplotlib installed, then
+interactive plotting is enabled by default.
+
+COMMAND LINE OPTIONS
+--------------------
+
+-c CONSOLE, --console=CONSOLE
+
+     Use the specified shell (Python or IPython) shell as the console
+     backend instead of the default one (IPython if present, Python
+     otherwise), e.g.:
+
+        $isympy -c python
+
+    CONSOLE must be one of 'ipython' or 'python'
+
+-p PRETTY, --pretty PRETTY
+
+    Setup pretty-printing in SymPy. When pretty-printing is enabled,
+    expressions can be printed with Unicode or ASCII. The default is
+    to use pretty-printing (with Unicode if the terminal supports it).
+    When this option is 'no', expressions will not be pretty-printed
+    and ASCII will be used:
+
+        $isympy -p no
+
+    PRETTY must be one of 'unicode', 'ascii', or 'no'
+
+-t TYPES, --types=TYPES
+
+    Setup the ground types for the polys.  By default, gmpy ground types
+    are used if gmpy2 or gmpy is installed, otherwise it falls back to python
+    ground types, which are a little bit slower.  You can manually
+    choose python ground types even if gmpy is installed (e.g., for
+    testing purposes):
+
+        $isympy -t python
+
+    TYPES must be one of 'gmpy', 'gmpy1' or 'python'
+
+    Note that the ground type gmpy1 is primarily intended for testing; it
+    forces the use of gmpy version 1 even if gmpy2 is available.
+
+    This is the same as setting the environment variable
+    SYMPY_GROUND_TYPES to the given ground type (e.g.,
+    SYMPY_GROUND_TYPES='gmpy')
+
+    The ground types can be determined interactively from the variable
+    sympy.polys.domains.GROUND_TYPES.
+
+-o ORDER, --order ORDER
+
+    Setup the ordering of terms for printing.  The default is lex, which
+    orders terms lexicographically (e.g., x**2 + x + 1). You can choose
+    other orderings, such as rev-lex, which will use reverse
+    lexicographic ordering (e.g., 1 + x + x**2):
+
+        $isympy -o rev-lex
+
+    ORDER must be one of 'lex', 'rev-lex', 'grlex', 'rev-grlex',
+    'grevlex', 'rev-grevlex', 'old', or 'none'.
+
+    Note that for very large expressions, ORDER='none' may speed up
+    printing considerably but the terms will have no canonical order.
+
+-q, --quiet
+
+    Print only Python's and SymPy's versions to stdout at startup.
+
+-d, --doctest
+
+    Use the same format that should be used for doctests.  This is
+    equivalent to -c python -p no.
+
+-C, --no-cache
+
+    Disable the caching mechanism.  Disabling the cache may slow certain
+    operations down considerably.  This is useful for testing the cache,
+    or for benchmarking, as the cache can result in deceptive timings.
+
+    This is equivalent to setting the environment variable
+    SYMPY_USE_CACHE to 'no'.
+
+-a, --auto-symbols (requires at least IPython 0.11)
+
+    Automatically create missing symbols.  Normally, typing a name of a
+    Symbol that has not been instantiated first would raise NameError,
+    but with this option enabled, any undefined name will be
+    automatically created as a Symbol.
+
+    Note that this is intended only for interactive, calculator style
+    usage. In a script that uses SymPy, Symbols should be instantiated
+    at the top, so that it's clear what they are.
+
+    This will not override any names that are already defined, which
+    includes the single character letters represented by the mnemonic
+    QCOSINE (see the "Gotchas and Pitfalls" document in the
+    documentation). You can delete existing names by executing "del
+    name".  If a name is defined, typing "'name' in dir()" will return True.
+
+    The Symbols that are created using this have default assumptions.
+    If you want to place assumptions on symbols, you should create them
+    using symbols() or var().
+
+    Finally, this only works in the top level namespace. So, for
+    example, if you define a function in isympy with an undefined
+    Symbol, it will not work.
+
+    See also the -i and -I options.
+
+-i, --int-to-Integer (requires at least IPython 0.11)
+
+    Automatically wrap int literals with Integer.  This makes it so that
+    things like 1/2 will come out as Rational(1, 2), rather than 0.5.  This
+    works by preprocessing the source and wrapping all int literals with
+    Integer.  Note that this will not change the behavior of int literals
+    assigned to variables, and it also won't change the behavior of functions
+    that return int literals.
+
+    If you want an int, you can wrap the literal in int(), e.g. int(3)/int(2)
+    gives 1.5 (with division imported from __future__).
+
+-I, --interactive (requires at least IPython 0.11)
+
+    This is equivalent to --auto-symbols --int-to-Integer.  Future options
+    designed for ease of interactive use may be added to this.
+
+-D, --debug
+
+    Enable debugging output.  This is the same as setting the
+    environment variable SYMPY_DEBUG to 'True'.  The debug status is set
+    in the variable SYMPY_DEBUG within isympy.
+
+-- IPython options
+
+    Additionally you can pass command line options directly to the IPython
+    interpreter (the standard Python shell is not supported).  However you
+    need to add the '--' separator between two types of options, e.g the
+    startup banner option and the colors option. You need to enter the
+    options as required by the version of IPython that you are using, too:
+
+    in IPython 0.11,
+
+        $isympy -q -- --colors=NoColor
+
+    or older versions of IPython,
+
+        $isympy -q -- -colors NoColor
+
+See also isympy --help.
+"""
+
+import os
+import sys
+
+# DO NOT IMPORT SYMPY HERE! Or the setting of the sympy environment variables
+# by the command line will break.
+
+def main() -> None:
+    from argparse import ArgumentParser, RawDescriptionHelpFormatter
+
+    VERSION = None
+    if '--version' in sys.argv:
+        # We cannot import sympy before this is run, because flags like -C and
+        # -t set environment variables that must be set before SymPy is
+        # imported. The only thing we need to import it for is to get the
+        # version, which only matters with the --version flag.
+        import sympy
+        VERSION = sympy.__version__
+
+    usage = 'isympy [options] -- [ipython options]'
+    parser = ArgumentParser(
+        usage=usage,
+        description=__doc__,
+        formatter_class=RawDescriptionHelpFormatter,
+    )
+
+    parser.add_argument('--version', action='version', version=VERSION)
+
+    parser.add_argument(
+        '-c', '--console',
+        dest='console',
+        action='store',
+        default=None,
+        choices=['ipython', 'python'],
+        metavar='CONSOLE',
+        help='select type of interactive session: ipython | python; defaults '
+        'to ipython if IPython is installed, otherwise python')
+
+    parser.add_argument(
+        '-p', '--pretty',
+        dest='pretty',
+        action='store',
+        default=None,
+        metavar='PRETTY',
+        choices=['unicode', 'ascii', 'no'],
+        help='setup pretty printing: unicode | ascii | no; defaults to '
+        'unicode printing if the terminal supports it, otherwise ascii')
+
+    parser.add_argument(
+        '-t', '--types',
+        dest='types',
+        action='store',
+        default=None,
+        metavar='TYPES',
+        choices=['gmpy', 'gmpy1', 'python'],
+        help='setup ground types: gmpy | gmpy1 | python; defaults to gmpy if gmpy2 '
+        'or gmpy is installed, otherwise python')
+
+    parser.add_argument(
+        '-o', '--order',
+        dest='order',
+        action='store',
+        default=None,
+        metavar='ORDER',
+        choices=['lex', 'grlex', 'grevlex', 'rev-lex', 'rev-grlex', 'rev-grevlex', 'old', 'none'],
+        help='setup ordering of terms: [rev-]lex | [rev-]grlex | [rev-]grevlex | old | none; defaults to lex')
+
+    parser.add_argument(
+        '-q', '--quiet',
+        dest='quiet',
+        action='store_true',
+        default=False,
+        help='print only version information at startup')
+
+    parser.add_argument(
+        '-d', '--doctest',
+        dest='doctest',
+        action='store_true',
+        default=False,
+        help='use the doctest format for output (you can just copy and paste it)')
+
+    parser.add_argument(
+        '-C', '--no-cache',
+        dest='cache',
+        action='store_false',
+        default=True,
+        help='disable caching mechanism')
+
+    parser.add_argument(
+        '-a', '--auto-symbols',
+        dest='auto_symbols',
+        action='store_true',
+        default=False,
+        help='automatically construct missing symbols')
+
+    parser.add_argument(
+        '-i', '--int-to-Integer',
+        dest='auto_int_to_Integer',
+        action='store_true',
+        default=False,
+        help="automatically wrap int literals with Integer")
+
+    parser.add_argument(
+        '-I', '--interactive',
+        dest='interactive',
+        action='store_true',
+        default=False,
+        help="equivalent to -a -i")
+
+    parser.add_argument(
+        '-D', '--debug',
+        dest='debug',
+        action='store_true',
+        default=False,
+        help='enable debugging output')
+
+    (options, ipy_args) = parser.parse_known_args()
+    if '--' in ipy_args:
+        ipy_args.remove('--')
+
+    if not options.cache:
+        os.environ['SYMPY_USE_CACHE'] = 'no'
+
+    if options.types:
+        os.environ['SYMPY_GROUND_TYPES'] = options.types
+
+    if options.debug:
+        os.environ['SYMPY_DEBUG'] = str(options.debug)
+
+    if options.doctest:
+        options.pretty = 'no'
+        options.console = 'python'
+
+    session = options.console
+
+    if session is not None:
+        ipython = session == 'ipython'
+    else:
+        try:
+            import IPython # noqa: F401
+            ipython = True
+        except ImportError:
+            if not options.quiet:
+                from sympy.interactive.session import no_ipython
+                print(no_ipython)
+            ipython = False
+
+    args = {
+        'pretty_print': True,
+        'use_unicode':  None,
+        'use_latex':    None,
+        'order':        None,
+        'argv':         ipy_args,
+    }
+
+    if options.pretty == 'unicode':
+        args['use_unicode'] = True
+    elif options.pretty == 'ascii':
+        args['use_unicode'] = False
+    elif options.pretty == 'no':
+        args['pretty_print'] = False
+
+    if options.order is not None:
+        args['order'] = options.order
+
+    args['quiet'] = options.quiet
+    args['auto_symbols'] = options.auto_symbols or options.interactive
+    args['auto_int_to_Integer'] = options.auto_int_to_Integer or options.interactive
+
+    from sympy.interactive import init_session
+    init_session(ipython, **args)
+
+if __name__ == "__main__":
+    main()